diff --git "a/data/dm_maths/full_data/10124_11255.jsonl" "b/data/dm_maths/full_data/10124_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10124_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 3*l = 3*v - l - 9587, v - 3*l = 3204. Is 66 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6308 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1992.1 + -1992. What is the third biggest value in 2\/7, v, 22?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 98350896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = 2*t. Let w be t\/(-6) - 1771\/3. Let y be (0 - w) + (-1)\/1. What is y rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*c + 30*c - 91*c + (12 - 41 + 12)*(0 - c + 0).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0792 times 0.13\nAnswer: -0.010296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -18*h**4 - 25941*h**3 - 6875718*h**2 - 13647816*h = 0.\nAnswer: -1092, -2083\/6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.084, 30, 1\/7, 1, -1\/8, 21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, b: 3}. What is prob of sequence ii?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**6\/120 - s**5\/30 - s**4\/4 - s**3 - 11*s**2. Let b be g(-2). Suppose -b*i - 2661 = -9*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145271919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, 1, 3 in ascending order.\nAnswer: -4, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 28)\/(44 - 42).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 = -3*i. Suppose 5*u + 0*o - 2*o - i = 0, o = 5*u - 3. Suppose u = -d - d + 22. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from tiitxm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -1abd?\nAnswer: 1abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 0*q - q)*(-2*q**2 - 3*q**2 + 4*q**2 + (q**2 + 5*q**2 - 2*q**2)*(1 - 1 - 2)).\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*b = -107*b - 157540. Suppose 0*j + b = 4*y - 5*j, -4*j + 7890 = 2*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25424299.\nAnswer: 17, 19, 78713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17133869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10450446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.14172 nanograms in micrograms?\nAnswer: 0.02414172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - m + 1. Let t(j) = 2*j**3 - 17*j + 17*j + 4*j**2 - j**3. Let b(x) = -2*k(x) - t(x). What is b(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 180, 209, 238, 267?\n\"Answer: 29*w + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.6 and 20275.\nAnswer: -52715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -50. Let o = 4940 - 4935. Let w = 0.3 + 0.2. What is the biggest value in w, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*g + 706, 915 = 3*h - 3*g + 210. Calculate the remainder when h is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/(-4) + (-44)\/(-4). Solve 11*o + 4*n = 9*o + 2, -5*o - 2*n - 19 = t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24.56 in -0.5, 0.11, -6?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -5*d - 10. Suppose 0 = -2*o, 2*c + d*c - 4 = -2*o. Solve 15 = 5*w - 5*n, 0 = -3*w + 4*n + c + 11 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/42*1767\/1178. Determine c, given that -3*c + 5\/7*c**3 + f*c**2 + 1\/7*c**4 - 18\/7 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x. Let g = 15 + -5. Let o(f) = -g*f**2 + 14*f**2 - 2*f**2. What is o(y(z))?\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 406448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 38*t + 2. What is the remainder when 2076\/10 - (-6)\/15 is divided by z(-20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 36406*y - 7169184.\nAnswer: -(y - 36208)*(y - 198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*j**2 + 3820*j + 13015 = 0.\nAnswer: -19, -137\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4597.878 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - w = 2*w - s + 5, 5*s = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**4\/12 - 13*l**3\/6 - 6*l**2 + 12*l. Let o = 57 + -39. Calculate the smallest common multiple of o and f(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4*y = 21, 4*d + 64 = -19*y + 31*y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213356790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 + -1928.27.\nAnswer: -1928.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 45 + -28 - (31 - 3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22031 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1433, -9157, -16877, -24593?\nAnswer: -32305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 2:49 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 3*r**3 + 11\/2*r**2 + 15\/4*r**4 + 0*r + 263. Let h(n) = -7*n**3 - 4*n**2 - 5*n. What is -6*f(k) - 13*h(k)?\nAnswer: k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 12:32 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-2*sqrt(192) + sqrt(192) - sqrt(192)) - sqrt(192))\/(-2*sqrt(72)))\/(5*3*sqrt(12) + sqrt(12) + (sqrt(768) - 4*sqrt(768) - sqrt(768))).\nAnswer: -13*sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n - 4. Let v be j(4). Let x = -8 + v. Suppose -4 = 3*m - t, x*t - 2 = -m + t. Let y(d) = -d**3 - 3*d**2 - 3*d. Calculate y(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85278 + 54*u**2 - 85270 - u + 2*u + (4*u - 3*u + 0*u)*(-u - u + 3*u) to the form s + g*u**2 + p*u and give g.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 - 8 + 8.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-33))\/((-5)\/15*36\/24)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(832) - 3*(0 + sqrt(832)))*4 + -1*(-3 + sqrt(832) + -2*sqrt(832)))*-5)**2.\nAnswer: -8400*sqrt(13) + 1019425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwgggwwwwwwwwgw. Give prob of picking 2 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27 + (-1 - 8\/4). Let o = -12 + r. Solve 0 = -3*v + 6*v - o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v - 136. Give u(-45).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379002.\nAnswer: 2, 241, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 390?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230\/23 + -3 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -17. Is k != 2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(133)*-2 + sqrt(133))\/(-3*1*sqrt(7)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 307. Determine w(-13).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -250*a**7\/7 - 643*a**3 + 388. Find the third derivative of m(k) wrt k.\nAnswer: -30000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 3661?\nAnswer: 3664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcpp when four letters picked without replacement from zwpcccczccepddczzzcp.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.08 - -0.08. Let v = 8 + y. Put v, 5, 3 in decreasing order.\nAnswer: 5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548412141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663500 rounded to the nearest ten thousand?\nAnswer: 3660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**9\/60480 + m**8\/3360 - m**7\/5040 + m**6\/240 + m**5\/30 - 2*m**2. Let z(d) be the third derivative of y(d). Calculate z(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -9*i - 70. Sort i, 3, 5, -5 in decreasing order.\nAnswer: 5, 3, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3285294 - -14277294. What is d rounded to the nearest 100000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6657630.8 - -10.\nAnswer: 6657640.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1060?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -6002597\nAnswer: -8\/6002597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 96, -9, -122, -249, -396?\n\"Answer: -h**3 + 2*h**2 - 104*h + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9733175331 - -0.1?\nAnswer: -9733175330.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 - -195. Suppose -4*j - 26 = -w, -w - 3*w + 4*j + f = 0. What is the remainder when w is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = 5*i - 1119. Let m = i + -152. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*y - 25517 + 2240, -4*d - 5*y = -23283. Suppose 0 = 716*u - 709*u - d. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 33*k**3 + 7*k**2 - 6*k - 4. Let s(z) = 16*z**3 + 4*z**2 - 3*z - 2. Determine -4*i(q) + 7*s(q).\nAnswer: -20*q**3 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6760\/3 - 46\/(-69) a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -45*u**2 + 2*u - 43. Let q(a) = -7*a**2 + a + 1. Give -b(g) + 2*q(g).\nAnswer: 31*g**2 + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19440848 - -27?\nAnswer: 19440875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h - 2*h = -68324. Suppose 9*l = 722 + h. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -250?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from hcchh?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11*q**2 - 10*q - 10. Let s(y) = y**2 - y - 3. Determine j(g) - 4*s(g).\nAnswer: 7*g**2 - 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f**2. Suppose -54 = -6*o - 3*o. Let s(d) = 48*d**2 - 20. Let u(j) = -7*j**2 + 3. Let k(b) = o*s(b) + 40*u(b). Calculate r(k(w)).\nAnswer: 832*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54, -48, -56, -84, -138, -224, -348, -516?\n\"Answer: -o**3 - o**2 + 16*o - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103365935*y**2 + 57*y - 57*y.\nAnswer: -103365935*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738197989 is divided by 742.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 0*u + 3*u)*(2 + 1 - 1)*(6*u**2 - u**2 - 2*u**2) as h + x*u**3 + p*u + t*u**2 and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 323699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*sqrt(21)\/(sqrt(14)\/sqrt(2)*-2).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from veeervvreervere.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597952.\nAnswer: 2, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 250 + 253 + 4*q**2 - 4*q - 759 + 253. Calculate y(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 g when three letters picked without replacement from {g: 4, s: 3, f: 1, w: 2, v: 2, h: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440396 + 529640 = -666*i for i.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, 120, 4, -0.1433, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 569857 and 335210?\nAnswer: 5698570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2603*b**2 - 20*b - 12*b - 26*b + 17*b + 2 wrt b.\nAnswer: 5206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3948 divided by -175?\nAnswer: -564\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*m = 147*m. Let j = -377 + 382. Put j, -9, -1, m in increasing order.\nAnswer: -9, -1, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c6ad (base 15) in base 5?\nAnswer: -103301023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6 - 7 - v**2 + 7 - 8*v + 7*v - 5*v. Suppose -2*f + 0 = 6. Let x be z(f). Solve 3*t - 5*q + 18 = -q, -x*t = 4*q - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7040 (b) -15 (c) -0.04 (d) -1\/3 (e) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q**3 - 2 - 36186*q + 18090*q + 18096*q + 1.\nAnswer: 19*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 48. Let f be (-3 - w)\/(4\/2). Let n(d) = -2*d**2 - 20*d - 1. Let s be n(-11). Sort f, 2, s, -5 in descending order.\nAnswer: 2, f, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldx when three letters picked without replacement from {w: 2, d: 4, l: 3, x: 2, r: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 36*g. Suppose 0 = -d - 0*l - 4*l + 3, -l = 4*d + 3. Let b be s(d). Let a be (-8)\/(-20) + b\/75. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 0, 22, 6, 69 in increasing order.\nAnswer: -4, 0, 3, 6, 22, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.868924l in millilitres?\nAnswer: 2868.924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 + 6 + 4*c**2 - 4*c**2 as a*c + s + v*c**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x**2 + x + 3. Let o(a) = -a**2 - a. Let w(b) = -c(b) + 4*o(b). Let v be w(6). Suppose 5*q - v = 7. Put -3, 1, q in ascending order.\nAnswer: -3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {x: 2, p: 1, r: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 1 + 1)*(-558 + 1112 + 72*o - 558 + 2*o**2).\nAnswer: -2*o**3 - 72*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 l when three letters picked without replacement from lininniiiiiini?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 98120 (base 12) to base 4\nAnswer: 300332220","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 0.123387.\nAnswer: 1.23387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 11*s**3 + 5*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 9. Let w be z(4). Let c be ((-7)\/(-14))\/(w\/2). Is (3 - 2)*(162 - c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168720.26 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7*(-12)\/14 + (-35)\/(-5). Is -2\/1997 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4773, -5\/7, -5, 1?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y + 8. Let c be a(-5). Let p = -18 - c. Solve -p*n - 6 = -26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 - 7 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1088326153 divided by -198491\nAnswer: -5483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h, 3*h + 20 + 376 = 3*t. What are the prime factors of t\/(-12)*(-6)\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -116?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1282 = 8*o, -6*j + 298 = 2*o - 10*j. What is the remainder when o is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 680d (base 14) to base 15.\nAnswer: 5530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53\/((-825)\/(-205) - 4).\nAnswer: 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 1\/3, -514535, 5 in descending order.\nAnswer: 5, 1\/3, -34, -514535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1872 at least as big as -7485\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -58 times -3270\nAnswer: 189660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/2)*c**(2\/19) assuming c is positive.\nAnswer: c**(23\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -70.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 42. Let i = q + 34.5. Which is the closest to 2? (a) -1 (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 g, and 1 w when four letters picked without replacement from {p: 2, g: 1, b: 2, w: 12, s: 3}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s - 1\/2*s**4 + s**2 - 1\/3*s**3 - 10. Let w(d) = -25*d**2 - 9*d + 9. Calculate -18*k(p) + 4*w(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*y - 789 = 6*y, 4*h - 3156 = 2*y. Let s = h - 365. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + 15\/3 + 18 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 3. Let d be t(2). Does 33 divide (-2320)\/(-8) + (-5)\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 - (-8 - -6 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**3 - 7*x**2 + 7*x - 5. Let t(h) = -3*h**3 - 6*h**2 + 6*h - 4. Determine -4*l(f) + 5*t(f).\nAnswer: f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296691011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -480.7 - -476.7. Put k, 1\/2, -4\/3, 1, 2 in decreasing order.\nAnswer: 2, 1, 1\/2, -4\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 2. Let z(m) = -294*m**2 + m**3 - 297*m**2 + 4 + 1173*m**2 - 290*m**2 - 291*m**2. Calculate -5*b(i) - 3*z(i).\nAnswer: 2*i**3 - 3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 9:34 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 32 = 4*w, -12 - 15 = -3*q + 5*w. Suppose 7*g - 15 = q*g. Suppose z - g*z + 16 = 0. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 148 + -144. Let p(t) be the second derivative of -2*t**2 - 2*t - 5\/3*t**3 + 7\/6*t**x + 0. Factor p(j).\nAnswer: 2*(j - 1)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 499434 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*3*(-5)\/(-25). What is the units digit of 259\/4 - z\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 - 5*w + 21. Let n(h) = h**2 + h - 1. What is -i(g) - 3*n(g)?\nAnswer: -g**2 + 2*g - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2518 is divided by 109?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 6. Let j(y) = -5. Determine -3*d(u) - 4*j(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aunu when four letters picked without replacement from nauaaacuaubnauuun?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*z + 1 + 670*z**5 - 190*z - 13*z - 22*z wrt z.\nAnswer: 13400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/7))**(-2\/131)*(w*w**0\/w)**(-19\/5) assuming w is positive.\nAnswer: w**(-10\/917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19233*j + 6 + 15 + 19231*j - 7 - 12 - 2.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 at most as big as 473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 16*r - 2701. Determine c(168).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -14*f**2 - 6*f. Let x(i) = -13*i**2 - 5*i. Give -5*d(m) + 6*x(m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2222212220 (base 3) to base 10.\nAnswer: -58965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -5*s**7\/168 - s**6\/18 - s**5\/30 - s**3\/3 - 2. Let p(x) be the third derivative of i(x). Determine w, given that p(w) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**2*y - 2*l**2 + 192*l*y + 114*l - 2*y - 68910 with respect to l.\nAnswer: 6*l*y - 4*l + 192*y + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -37.7, -3, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2659, -2717, -2835, -3043, -3371, -3849, -4507?\nAnswer: -5375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 5*z**3\/3 + 5*z**2\/2 + 2220. Let j(f) = 7*f. Give j(m(p)).\nAnswer: 35*p**2 + 35*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*s - 216. Suppose -5*i + s = 7*i. Put 2, i, 0.3 in decreasing order.\nAnswer: i, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -39. Suppose 0 = 5*j + o*u - 9*u, -5*u = -3*j. Determine m, given that -2\/3*m - 1\/3*m**4 + j*m**2 + 1\/3 + 2\/3*m**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -48\/113 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 - -9322315.18.\nAnswer: 9322312.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*k**3 - 4 - 56*k**3 + 12*k**3 - 15*k**3 wrt k?\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 9:02 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 106, 217, 328, 439, 550?\n\"Answer: 111*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/68*-4 + (-19980)\/(-41514)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -498 and 8877211066.\nAnswer: 8877210568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 15 = 5*a, -22 = 64*a - 68*a + g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 9:38 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -2, 3, 10, 19?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 4*g - 5. Let i be d(5). Let h be ((-12)\/(-18))\/((-10)\/(-675)). Let s = h + -48. Sort 4, s, -4, i.\nAnswer: -4, s, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464448 divided by 9676.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r = -4*c - 22 + 24, r - 4*c = -c + 28 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 divided by 59?\nAnswer: 261\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-538)\/268731)\/((-1)\/18))\/(1\/(27\/(-6)))?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 444, 922, 1454, 2046, 2704, 3434, 4242?\n\"Answer: d**3 + 21*d**2 + 408*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -19*v + 436. Calculate the lowest common multiple of 104 and l(20).\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 409748*l**2 - 20987087680*l + 41972536384.\nAnswer: -2*(l - 102436)**2*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 86*k + 5. Let q(h) = 85*h + 6. Calculate -5*c(l) + 4*q(l).\nAnswer: -90*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639*n = 641*n - 2*c - 16, 4*n = c + 23 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(2\/9)))\/f)**(-4)\/(f**23\/f**(-22)) assuming f is positive.\nAnswer: f**(-377\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6\/5 (b) 0.03 (c) -1 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5677 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.879755 millimeters to kilometers.\nAnswer: 0.000002879755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-5*(-9)\/180*-344. Let v be 170\/476*(-4)\/j. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319676 divided by 233.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1355644?\nAnswer: 2, 227, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36.958 - -0.042. Let s = -38 + c. Suppose -2*y + 6 = 0, 2*g + 3*y + 0*y = 15. Put 5, s, g in decreasing order.\nAnswer: 5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/21 and -24\/5.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 3*k. Let f(d) = -25*d**3 + 80*d**2 - 6*d + 1. Calculate -f(q) + 2*w(q).\nAnswer: 23*q**3 - 80*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/3 + o**3 - 2*o**2 - 8*o\/3 = 0. What is o?\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 5*u**2 + 16*u**3 - 5*u**2.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 55. Let o(z) = -z**2 - 57*z + 3341. Let s be o(-93). Determine p(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12048019 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2) + 2\/(2\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - o - 11 = -2*k, 0 = k - 3*o - 1. Let n be (2\/k)\/(2\/4). Is -2\/17 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979239.\nAnswer: 3, 43, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrrlrcurrrblrvc. Give prob of sequence lcr.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, 221.24, 0, -1, 5 in ascending order.\nAnswer: -1, -0.14, 0, 5, 221.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**4\/4 + p**2\/2 + p - 5. Let o be t(-1). Suppose 6 = -7*n - o. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28303 - 0.80521. What is g rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2133 divide 100549934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105766, 105848, 105986, 106180, 106430, 106736?\nAnswer: 107098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 445, 1619, 3907, 7681, 13313, 21175?\n\"Answer: 62*r**3 - r**2 + r - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**4 + 2*f**2 + 7*f - 7. Let b(u) = -u**4 + u**2 + 5*u - 5. Let d(i) = 7*b(i) - 5*r(i). Find the third derivative of d(h) wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 14) to base 8\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g + 8. What is the remainder when l(-6) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334518 is divided by 3879.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 349 - 2439\/7. Solve 0 - 2\/7*s**3 - 2\/7*s - d*s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3852427.5 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -4*z - z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -645, -133, 383, 897, 1403, 1895?\nAnswer: 2367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 6, g: 4, l: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + j - 5. Let f be u(0). Let h = -3 - f. Suppose 0 = 3*y - 5*d - 65 - 23, -52 = -2*y + h*d. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.48 * -0.4\nAnswer: 9.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2928 to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-12))\/(54\/(-36))*20.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11976, -47813, -107494, -190977, -298220, -429181?\nAnswer: -583818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -839+-2.5\nAnswer: -841.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 7*p**2 - 9*p + 1. Let t be c(-7). Let b be (-40474)\/t*3*-6. Let i = -11387 + b. Find the common denominator of i and -23\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4529*p**2 + 4529*p**2 + 3*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y = 0. Solve m = -y*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s + 65. What is the remainder when 148 is divided by q(-4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119219 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2573 - 2549. Calculate the remainder when 287 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 251*s**4 - 136*s**2 + 1045 + 136*s**2 + 257*s**3 - 255*s**3 wrt s.\nAnswer: 1004*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.055 and -4776 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1108821058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*y**3 - 132*y**3 + 68*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2487985 and -0.5?\nAnswer: -1243992.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w + 42. Let i be 214\/14 - 4\/w. Suppose -2*x + 93 - i = 0. Calculate the remainder when x is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 6*m**2 + 4*m**2 + 17*m**2 + 7*m**2 in the form j + l*m**2 + i*m and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(108) + 5 + 0)*1)**2*5.\nAnswer: 360*sqrt(3) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*1*2 - (-756)\/360. Let y = -4.3 - -1.3. Which is the third biggest value? (a) -0.5 (b) y (c) i (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-140)\/18 - 6\/27. Let l be (5 - 10)*(-8)\/(-10). What is the tens digit of l*(190\/i - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -287, 30, 9, -5 in increasing order.\nAnswer: -287, -5, 2, 9, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3 + 13. Let w(c) = c**2 + 17*c + 23. Let n be w(-16). Solve -n*h = -k*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hccg when four letters picked without replacement from grcsh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 + 63. Let r be -2*3*(-23 - i). Which is the third smallest value? (a) -4 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1900) - (2 + sqrt(1900))) + sqrt(1900))**2*2.\nAnswer: -80*sqrt(19) + 3808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 3 - (-398)\/(-1). Let z = -266 - m. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h = -4*a + 48*h + 229, -3*a + 2*h + 163 = 0. What is the thousands digit of (-2 - 89770\/(-85)) + (-6)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -273 - 217. Suppose -37*k + w*k = 8328. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157837000 rounded to the nearest one million?\nAnswer: -158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 6*z + 2*z. Let r(t) = 3*t**2. Determine p(r(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -55.\nAnswer: -14\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-6)\/(-14) - 663\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8292 and 58044.\nAnswer: 58044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 8:19 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - -18. Let j = 92 - g. Calculate the highest common factor of j and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1414244144 (base 5) in base 2?\nAnswer: -1101111110111010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1970.\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 4, -40, -3 in decreasing order.\nAnswer: 4, 3, -3, -6, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 444*h + 10077. Calculate s(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 12:58 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 3*o + 49. Is l(0) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*h**2*t**3 + 1555*h**2*t - 147*h*t**3 - 744*t**3 wrt h?\nAnswer: -82*t**3 + 3110*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -357772 divided by -3?\nAnswer: 357772\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2689456, -2689588, -2689718, -2689846, -2689972, -2690096?\n\"Answer: a**2 - 135*a - 2689322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470383046 - 470383046 - 72*v**2 + 61*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*b + 735, 2*q - 3*b = -q + 2235. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*v - 136 = 0, 9*g - 7*g - 148 = -v. What is the remainder when g is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*u + 113*u - 3*n = -32, u - 4*n - 25 = 0. What is the greatest common divisor of 899 and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -2*v + 8, 2*v + 32818 = -8*w + 32820 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -226 - 38. Let d = a + 278. Solve 18*c = d*c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111011000110 - 1000011010?\nAnswer: 111110010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 22.3. Which is the fourth smallest value? (a) 0.1 (b) 2\/3 (c) u (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/10 - 1246\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -800 = -3*y - u, 3*y - 2*u - u = 804. Let q = y + -257. Put 3, q, -2, -3 in decreasing order.\nAnswer: q, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2323 not equal to -248422\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16653 + -11465. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 80.29375ns?\nAnswer: 0.00008029375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 20*b + 137. Suppose 138*t + 4322 - 872 = 0. Give s(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 10*w**2 - 10*w + 9. Let i be v(9). Suppose i = 4*b - 0 - 8. What is the derivative of -j**2 - b - 8*j**2 - 2*j**2 wrt j?\nAnswer: -22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4025*u**3 - 3*u*v - 407394*v with respect to u.\nAnswer: -12075*u**2 - 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -14*r**2 + 2349*r + 504. Let x be s(168). Let w = 2 + -1. What is the closest to 1 in w, -3\/5, x, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73164071, -73164070, -73164069, -73164068, -73164067, -73164066?\nAnswer: -73164065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1144 - 904. What is the smallest common multiple of 45 and a?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1973706 and 6258.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 smaller than -1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 1 + 14. Let d = 32 + c. Sort -0.1, -4, d in decreasing order.\nAnswer: d, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62692.4 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -1220392\/19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(65)\/sqrt(5))**2 - (-3 + sqrt(13) + -2).\nAnswer: -sqrt(13) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-308)\/(-6))\/(-7)*-27. Calculate the greatest common divisor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 17*r**2 - 11*r - 11. Suppose 0 = 4*h + 50 - 6. Let d(j) = -6*j**2 + 4*j + 4. Let k(i) = h*d(i) - 4*z(i). Let u(a) = -5*a. Determine u(k(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 3*t + 4. Let w be h(7). Suppose 36*u = w*u + 152. Let v = 96 - u. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {d: 6, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(-4*h - 3*h + 5*h) + ((0 + 0 + h)*(1 - 2 - 2) + 3*h - h + 0*h)*(-3 + 2 + 2))*(-28 - 39 + 28).\nAnswer: 117*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**4 + 28*l**3 + 32*l**2 - 64*l = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**6\/6 - 13*w**5\/5 - 47*w**4\/4 - 23*w**3\/3 + 24*w**2 + 36*w + 2566. Factor p(n).\nAnswer: -(n - 1)*(n + 1)**2*(n + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 807108763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1793197511?\nAnswer: 7, 31, 8263583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmpjmjpjjjpmjpmj. What is prob of picking 3 m and 1 j?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, g: 3, y: 6, a: 1, f: 1}. What is prob of sequence yg?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/4 (b) 1\/145 (c) 4 (d) -0.8 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(99) - sqrt(99))*-5)**2 + -5 + -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25764158 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1939*r**4 - 355*r**2 - 13. Let t(a) = -1454*a**4 - 266*a**2 - 10. Let d(j) = -7*h(j) + 9*t(j). Find the third derivative of d(q) wrt q.\nAnswer: 11688*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + y - 1. Let h(x) = -4*x**2 + 2*x - 1. Determine -4*h(u) + 9*v(u).\nAnswer: -2*u**2 + u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 12. Suppose 0*u = -n*u. Let w(z) = 8 + 2*z + z**2 - 12 + u*z. Calculate w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/7114 + 152939\/85368. Calculate the common denominator of m and 2 - -1 - (-1)\/((-90)\/507).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 - 45. Suppose -4*w = 2*f - 16, 6*f + b*w = 2*f + 44. Solve -f = 4*g - 8*x + 4*x, x = -4*g - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*q - 48 = 239*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j - 4*j - 20*j - 2*j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:49 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53580.\nAnswer: 2, 3, 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhyy. What is prob of picking 2 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 4. Let n be d(-3). Let k be n\/40 - 62\/88. Let m be (72\/108)\/(2\/(-3)). Which is smaller: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.461334km in micrometers?\nAnswer: 461334000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2824*p + 16949. Give s(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*o + 800*o - 62350 = -604*o - 382*o for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 6 - (2 + 0 - 4) - (0 - 6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**(-11)*n**(1\/9)\/(((n*n\/(n\/n**(-7)))\/n*n*n)\/n)*(n**5\/(n**3\/n))\/(n**(-2)\/n*n\/n**(3\/4)*n) assuming n is positive.\nAnswer: n**(245\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1583*s + 14396. Determine v(-9).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r - 1. Let v = -34 + 38. Suppose -3*w + 4*w - 5*a = 8, 0 = -2*w + v*a + 10. Let l(m) = 4*m + 2. Calculate w*s(j) + 2*l(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -60?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -1615974.13\nAnswer: 1615981.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*0.027\nAnswer: 0.00162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*u - 1. Let m(l) = l - 11. Let j be m(8). Let q be ((-11)\/2 - j)*-2. Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 219 - -518399?\nAnswer: 518618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3914)\/119377*(-122)\/30.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a + 4 = 0. Let s be 16\/6 - (a + 5). Suppose 0 = -5*b - 25, 3*m - 43*b + 47*b = -32. What is the nearest to 1 in s, m, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -10. Let s = 14 + b. Solve -3*x = -4*x + q - 9, 4*x - s*q = -32 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) 5 (c) -350 (d) -9 (e) 5\/4 (f) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 631459217 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49670210 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 841 - 845. Let k be (8*2\/40)\/(y\/(-80)). Solve 4*m = -16, -3*m - k = 4*x + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 842161048, 1684322097, 2526483146?\n\"Answer: 842161049*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 0. Suppose -2*h - 5 = 9. Let v = h + 12. Solve -5*f + 3 = y*g, f - v*g = -4*f + 30 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 5. Let s(w) = w - 1. Let f be 3 + 0 + -4 + -4. Calculate f*s(p) - l(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 + -3 + (-28 - -7) - 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 8:47 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 51.1. Let i = x + 2.7. Let l = 15 - 10. Which is the third smallest value? (a) i (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + 3*b**2 + 76*b. Let t(h) = -4*h**3 - 5*h**2 - 151*h. Let w(x) = 7*s(x) + 4*t(x). What is the second derivative of w(k) wrt k?\nAnswer: -12*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + (2 + (sqrt(288) - (sqrt(288) + -2))*-1)**2 + -5)*-2)*-3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-20) - 45\/(-450). What is the nearest to 0 in r, -3, -0.5, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37.6 + 7.4. Let q = n + -45.02. Which is the nearest to q? (a) -0.1 (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117 - 87. Calculate the remainder when 298 is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 4*o - 60*o**2.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 6:28 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3281 - 29*v - 3281 + (0 + 1 + 2)*(11*v - 12*v + 9*v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**2 - 2*x + 15. Let q be 6\/10 + 86\/(-10). Is i(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55 - 17?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxfgxxxxogfgsfsifg. Give prob of sequence sg.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16335 * 59.98\nAnswer: 979773.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108156.795 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 + 4*h**2 + 2*h - 4. Let v(x) = -9*x**3 - 11*x**2 - 5*x + 11. Suppose -26 + 6 = -5*a. Determine a*v(z) + 11*j(z).\nAnswer: -3*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -44. Let x be u*-3 + (-533)\/(-169). Which is the closest to 5\/3? (a) 0 (b) 1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 93\/(-68) - (1 + (-114)\/102). What is the nearest to -1 in -0.4, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3.78698?\nAnswer: -3.78698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**5\/60 - p**4\/18 - p**3\/18 + p**2\/3 + 2*p. Factor n(z).\nAnswer: (z - 2)*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -190*f. Let g(k) = 2*k**2. Determine h(g(d)).\nAnswer: -380*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (876 + 1090 + 2821)*(-d - 4*d + 3*d).\nAnswer: -9574*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 1 - 1 + (2 - 2 - 1)*(-q + 4*q - 4*q))*(-9 - 9 + 5 + (2 - 3 + 2)*(0 - 5 + 3)).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 36316*r**2 - 11863488*r + 987049728.\nAnswer: -4*(r - 8743)*(r - 168)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {m: 1, u: 3, y: 1, a: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 59 + c - 1141*c**2 + 0*c - 1106*c**2 + 2246*c**2 as a*c**2 + f*c + d and give d.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5 + 3*z**2 + 7*z + 6*z**2 + z**3 + 1. Let n be y(-8). Solve n*l = 19 - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4 + 2979*q**3 - 986049*q**2 + 108794073*q = 0.\nAnswer: 0, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3}. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 988 and 104?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -14. Suppose 3*p - t = -1. Let r(u) = -7*u**3 + u**2 - u + 1. Calculate r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163*-3.408\nAnswer: 555.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.6 - 1.4. Which is the third biggest value? (a) -4 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z + 0*z - 2 + 0*z. Let i be d(2). Find the third derivative of 2*h**4 - 3*h**i + 5*h**2 - 3*h**2 + 2*h**4 wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 49, -4, -0.1489 in decreasing order.\nAnswer: 49, -2\/27, -0.1489, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, -0.4, -1\/83, 2\/7, 2.\nAnswer: -0.4, -0.2, -1\/83, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 79 - 79)*(4 - 4 + 2*s**2) + 3*s**3 + s - s + (4*s**2 - s**2 - 5*s**2)*(-2*s + 3 - 3).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/12*(-33)\/44\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -k - 7, m - 3 - 5 = 2*k. Suppose -3*w + 4 = -m*w. Suppose -2*s = 2*s - w. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4\/12 - 14327*b**3\/4 + 85994*b**2 - 2064112*b\/3 + 1834880 = 0.\nAnswer: -43005, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352877 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5642665, -11285330, -16927995, -22570660, -28213325, -33855990?\nAnswer: -39498655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -50. Suppose -14 = -4*j - n. Let -8*a - 33*a**4 - 25*a - 69*a**2 - 6 - 8*a**5 - 69*a**3 + j*a**5 = 0. What is a?\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/8)\/((-9)\/1056). Let r = h + -99. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 - 3*f + 5*f**3 + 64*f**4 - 62*f**4 + f**2 to q*f**2 + r + d*f**4 + a*f**3 + p*f and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 22. Let y = -8 - v. Suppose -4*w = 4*c - 40, -3*c - w = y*w - 27. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-3*r + 3*r + 3*r) + (0*r + 4*r - 3*r)*(4 + 8 - 4).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2524 - -2513. What is the biggest value in -2, v, 2.8, 0.1, -1\/2?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -52*b**2 + 24*b - 5. Let n(y) = -27*y**2 + 11*y - 2. What is -2*a(u) + 5*n(u)?\nAnswer: -31*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1dbf (base 16) to base 9.\nAnswer: 11401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + (sqrt(252) - (2 + sqrt(252))*5) + sqrt(252).\nAnswer: -12*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 6*n - 4005, 3*n = v - 463 - 338. Calculate the remainder when v is divided by 398.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 3. Let j be s(-4). Suppose 3*n = -76 + 223. Let f = j + n. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + -4 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 39*n - 524. Determine v(-34).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/d)\/(d\/(d\/(d**14\/d*d))*d) assuming d is positive.\nAnswer: d**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/4 - 360\/(-16)*10. Calculate the highest common divisor of 338 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -5, 5\/3, 2, 0.338?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 84*m - 206. Solve 4*k + 4*x = -0*k, -m*k - x - 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219373868.1000002 + -219373888. Let y = 19.9 + x. What is y rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((35\/7)\/(2\/2))\/(516\/86).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 110 = h, -67680*u + 330 = -3*h - 67639*u for h.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2*i - 20 = 0, 9*f - i = 5*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**3 + 460*v**2 - 251*v + 24716. Give n(-116).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -5*w**4\/12 - 13*w**3\/6 - 8*w**2. Find the first derivative of l(z) wrt z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1684 divided by -4\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3671613*h**3 - h - 13294833?\nAnswer: -22029678*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 1. Let p(b) = 7*b**2 - 7. Let u(m) = -7*o(m) + p(m). Let f(j) = -4*j**2. Give u(f(r)).\nAnswer: 224*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 125323137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.273 - 0.27300855. What is w rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2505?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/12)\/(3*(-289)\/153).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135 divided by -26784?\nAnswer: 1135\/26784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**6\/8 - 3*z**5\/10 + 9*z**4\/16 + 2*z**3 + 3*z**2\/2 - 115. Let f(x) = 0. Calculate x.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8615719 * 1.\nAnswer: -0.8615719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 351524291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5491 + 11763. List the prime factors of c.\nAnswer: 2, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/18, 5, 0.041?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 211 - 590 + m + 192 + 2*m + 178. Suppose -4*h - 16 = 4*k, -4*k + 2*h + 5 = 21. Let s(p) = -7*p + 19. What is k*s(u) - 9*c(u)?\nAnswer: u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433 (base 7) to base 3.\nAnswer: 22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/13 - 77850*f\/13 + 3732192\/13.\nAnswer: 2*(f - 38877)*(f - 48)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 1. Let y(q) be the second derivative of -q**3\/6 + 57*q. Let w(p) = -3*y(p) - z(p). Calculate w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 2\/3, -3, 20, -0.51, -5\/2 in decreasing order.\nAnswer: 20, 2\/3, -0.51, -5\/2, -3, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y\/y**24)\/y)))\/y*y)\/y**10 assuming y is positive.\nAnswer: y**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235 + -231. Which is the second smallest value? (a) l (b) -1.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t - 2*n + 11, 0*t - 5*t - n = 450744 - 450750 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 + 18*o + 2. Let w(q) = 11*q**2 - 55*q - 7. Let j(d) = 21*p(d) + 6*w(d). Let j(s) = 0. What is s?\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23\/55 + 1\/55. Let z = -3 - -5. Which is bigger: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -3*l**3\/2 + 5*l**2\/2 + 5*l. Let x(m) = -14*m + 8. Calculate -8*j(c) + 5*x(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473835, 1895374, 4264607, 7581534, 11846155, 17058470?\nAnswer: 23218479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 3, 49, 8 in descending order.\nAnswer: 49, 8, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*v - 90*v = 85*v. Put -3003, v, -4 in descending order.\nAnswer: v, -4, -3003","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1676*t + 1835.\nAnswer: 1676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**3\/6 - 9*p**2\/2 + 83*p. Give i(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -93880, -187764, -281650, -375538, -469428?\n\"Answer: -f**2 - 93881*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143\/1785 + 1\/105. Sort -0.5, -2, s in decreasing order.\nAnswer: s, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*f = -18, 4*f + 14 - 27 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.3 (c) 1 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.840519um in millimeters?\nAnswer: 0.000840519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 170\/8 + (-15)\/(-20). Suppose 43 + w = 5*s. Let f = s + 26. What is the remainder when f is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 280 - 139. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 0 + 0*d + 2 + d - 5. What is the units digit of q(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 8. Let x be l(-6). Suppose x*o + 6 + 18 = 0. List the prime factors of -4 - (-4)\/(-2)*o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -1.217503?\nAnswer: -0.4870012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -347*-52385.\nAnswer: 18177595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**3*v - 122*l*v**3 + 157*v**3 + 2*v**2 with respect to l.\nAnswer: -3*l**2*v - 122*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104\/1439 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let m(n) = -7*n - 60. Let s(b) = 6*b + 59. Let a(w) = -4*m(w) - 5*s(w). Determine z(a(j)).\nAnswer: -2*j - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79334396153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*f**2 - 2*f**2 - 67*f**2 - 90*f**2.\nAnswer: -103*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -13.617 (c) 1\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 512*u + 518. What is j(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/4 (b) 7 (c) -54 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**9\/3024 - t**6\/180 + 2*t**3\/3 + 3. Let v(d) be the third derivative of r(d). What is the third derivative of v(j) wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21004023 (base 5) to base 7\nAnswer: 1315406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)\/sqrt(7)*-3)\/sqrt(9))**2*2.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1119055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -7*z**3\/3 - z. Let k(g) = 5*g. Let j(s) = -98*s + 104*s + 2 - 2. Let b(y) = 3*j(y) - 4*k(y). Give o(b(a)).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, 2, 1, 3, 17, 5, 7 in ascending order.\nAnswer: -112, 1, 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166648 by 20831.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 10:00 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 3*o + o)*(-8*o + 30 - 30)*(-2 - 3 + 7).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssw when four letters picked without replacement from {w: 9, s: 11}.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -221010, -442021, -663032?\n\"Answer: -221011*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 197, 291, 385, 479?\nAnswer: 573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - d = 0, -d = d - 6. Suppose 0 = -z*s + 8*s - 25. Suppose 195 = 5*j + s. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -377 - -1210. Is l a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 2*p - 2. Let q(x) = -x**2 + x - 1. Let u = 7 + 14. Let b = -19 + u. Let l(h) = b*q(h) - i(h). Let f(o) = -o. Determine l(f(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 39. Suppose 5*i - x = 18. Let s(g) = g - 3. Let h be s(i). Let j(o) = 2*o**2 - 2*o - 2. Give j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + (sqrt(99) + -5 + sqrt(99)*2)*-1)**2.\nAnswer: -180*sqrt(11) + 995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.6 + -3.4. Let o = -8 - -3. What is the nearest to -1 in -1\/8, j, o?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/15)\/(54\/270))\/(2\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*t + 20572 = -1734*t + 111790 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, 8, 176, 0 in descending order.\nAnswer: 176, 8, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = z, 4*y - 20 = -y - 2*z. Suppose -2*l = b - 1, -7*l + 3*l = -y*b + 4. Suppose l = -6*t + 3*t + 12. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from gjsmvsmwssvvjvvs?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + x + 2 + (-2 - 2 + 3)*(-2*x + 1 - 1) - 27 - 2*x + 22 + 3*x + 4*x - 4*x - 2*x)*(x**2 - 2*x**2 - x**2).\nAnswer: -4*x**3 + 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -206155, -412112, -618069?\n\"Answer: -205957*n - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -14*u**2 + u. Let l(o) = 41*o**2 - 3*o. Let c(y) = -2*l(y) - 7*n(y). Suppose 0*q - 2*q = -4*m + 2, -5*m = 0. Calculate c(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - 1*(-2*sqrt(91) - sqrt(91) - sqrt(91)))\/(sqrt(175)*-1).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(2\/3)))**(6\/7))**(-50) assuming f is positive.\nAnswer: f**(200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697775293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (10 + -17)) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -358843 or -361937?\nAnswer: -361937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204756178*z**5 + 1834*z**2 - 82089.\nAnswer: 12285370680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from tgctvvu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 19*q + 3*r = 6, -2*r = -7*q - 22. Let k(i) = 53*i - 2. Let c(x) = x. What is q*c(z) - k(z)?\nAnswer: -55*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110*d**3*m**3*v - d**3*m**2*v + 4*d**2*m**3*v + d**2 + 2*d*m**2*v - 49*v wrt m?\nAnswer: -660*d**3*v + 24*d**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14987 (base 10) in base 15?\nAnswer: -4692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 607*p - 1131*p - 793*p - 625*p - 615*p as f + c*p and give c.\nAnswer: -2557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 326*h + 10439. Calculate w(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18443 is divided by 6142.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 4. Let r be x(3). What is the highest common divisor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -1288460, -2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53*s - 51*s - 18*s)*(1 - 3 + 1) as m + i*s and give i.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n + 8. Let b be g(-2). Let z(q) = q**3 - q**2 - q + 2. Determine z(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 5) in base 4?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*c - 50 = 0, -4*c - 1 - 37 = -3*x. Calculate the smallest common multiple of (-1 - 0)\/(-1)*8 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + 6*w - 6*w. Let r(i) be the first derivative of -3*i**2\/2 + 6. Give x(r(g)).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -174487 != 2241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.602692.\nAnswer: 0.1808076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.4. Let m = 0.12044 + 0.07956. Sort -1\/4, m, 0.5, q in descending order.\nAnswer: 0.5, m, q, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107768, -108223, -108982, -110045, -111412, -113083?\nAnswer: -115058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a milligram in nanograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 10. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 1, k: 3}. Give prob of sequence ikk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12895.\nAnswer: 5, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - -21 - 11 - 61.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 69.78538 weeks?\nAnswer: 42206197824000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 1. Suppose 3*n - 3*x - 22 = 2*x, -n - 5*x = 26. Let y be (2\/14)\/(((-3)\/6)\/n). Which is the closest to y? (a) u (b) 1\/8 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-60)\/(-8)*(80\/(-15) - -6). What is the tens digit of (11085\/75)\/(1\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.4 times -0.05\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352) - sqrt(352)*-2)\/((-2*sqrt(2) - sqrt(2))*1))**2 + (sqrt(3300) - 1*sqrt(3300))\/(-5*-2*sqrt(3)).\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 + -102. Is 104 - p\/10*10 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-8)*l\/(l*l**(6\/7))*l)\/((l\/l**3)\/l)**(7\/2))**9 assuming l is positive.\nAnswer: l**(2475\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 8:15 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 154\/385*(-465)\/(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + f**2 + f - 5. Let g be -3 + 2 - (-2)\/2. Let l be a(g). Let z = 8 + l. Put z, -1\/6, -2\/5 in descending order.\nAnswer: z, -1\/6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 533208922 + -533209202.9999688. Let w = m + 281. Round w to six dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174898189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**5 - 36*l**4 + 116*l**3 - 156*l**2 + 72*l.\nAnswer: 4*l*(l - 3)**2*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-6 - -2 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10*w**2 - 18*w + 43. Let p(s) = 5*s**2 + 8*s - 22. Give 9*p(k) + 4*x(k).\nAnswer: 5*k**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 5*j = -732. Suppose j*m = 55*m + 90. What is the remainder when 95 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366363923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9608, -19278, -28948, -38612, -48264?\n\"Answer: d**3 - 6*d**2 - 9659*d + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnknkknkfnkkk. What is prob of picking 1 f, 1 k, and 1 n?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a6 (base 11) to base 2.\nAnswer: -101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/4 + 14\/(-56))*-2. Factor -u*o**2 - 2*o - 2.\nAnswer: -(o + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g**2 + 58*g**2 + 170*g**2.\nAnswer: 205*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -r - 10*a + 14435, 0 = -4*r + 3*a + 57740. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 113 = -755*p + 751*p, -3*p + 90 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 102 - (-1 - -9 - 9) - (-10 + 14)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 25, 884, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/25*(-45)\/18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -59. Let u be ((-9)\/a)\/(2\/(-16)). Find the third derivative of 14*h**u + 12*h**6 - 19*h**2 + 0*h**6 wrt h.\nAnswer: 1440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3100 + 24735\/8. Let w = -24387\/266 + 1898\/19. What is the common denominator of k and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1906 + -2827. Let b = q + 2492. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5189\/19 + 273. Let q = 0.06 + 2.94. Let m be (-6)\/45 - 6\/(-45). What is the nearest to -0.2 in u, m, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-257 - -268)*3\/(-33).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 5*i**2 + 4*i - 11. Suppose 3*w - 4*w = 2*s + 11, 3*w + 3 = -s. Let x be b(s). Sort 10, x, 0.\nAnswer: 0, x, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -319 + 536. Let v = 353 - d. Let r = v + -136.0000087. Round r to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.786 - -2.214. Which is smaller: -26 or r?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z + 3*z - 2*z)*(16*z**2 + 5*z**2 - z**2) + (z - z + z**2)*(z + 6*z - 10*z) + (-2 + 1 + 2)*(z**3 + 2 - 2) as j*z**3 + f + g*z + d*z**2 and give j.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 9.00000089. What is w rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676.397424 rounded to the nearest 10?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85242, 340960, 767156, 1363830, 2130982, 3068612?\nAnswer: 4176720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjkgkbbbkgb. What is prob of sequence bjgb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*u**4 + u**3 - 132*u**4 + 3 + 44*u**4 - 2*u - 3*u**2 + 45*u**4 as f*u**3 + s*u + z + p*u**4 + x*u**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-2)\/(-6)*1. Let o(w) = w**2 - 7*w + 1. Let x(h) = h. Let q(f) = -o(f) - 5*x(f). Calculate q(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 8:46 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 558\/7 + -80. What is the third smallest value in -2, i, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) -0.11 (b) 0.7 (c) -2 (d) -14 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/16)\/1 + 153\/12. Suppose 0*z + u = 4*z. Suppose -z*p + p + 36400 = 0. What is p rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 221626 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2. Let k(i) be the first derivative of -416*i**3\/3 + 1358. Give d(k(h)).\nAnswer: 692224*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 406\/16 + 10\/(1040\/(-39))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1 = 21. Let x = 164 - 158. Which is the third biggest value? (a) 3 (b) x (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 4*m - 5*r + 140, 2*m + 5*r = 71. Let c = m - 29. Suppose 0 = 4*w - 6*w - 2. Put c, -4, w in decreasing order.\nAnswer: w, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 281 (b) -0.6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*a = -52*a + 1740. Let g(v) = 3*v**2 - 13*v + 7. What is g(a)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 104366*x = 104362*x - 4, 44 = 5*r + 4*x for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 y when four letters picked without replacement from {y: 10, c: 2}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, -5, -1310.931, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 - 965*n - 7902. Give r(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4 = 3*g - 1, 2*l - 4 = g. Suppose 5*p + 2100 = g*p. Round p to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-444)\/135)\/(4\/10) - -8. Sort 4, -0.02, -2\/15, 0.5, z.\nAnswer: z, -2\/15, -0.02, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 761751 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 2\/11, 3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -39, -0.147, 2\/7?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2260 + -2258. What is the third smallest value in 0.39, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -92 - -26?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5837*f - 40869. Determine v(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264500 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 14*p + p - 7*p - 6*p + 19*p + 1.\nAnswer: -10*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 12:50 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.077, 8, 1, 2721, -1 in increasing order.\nAnswer: -1, -0.077, 1, 8, 2721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 3*c + 6. Let o be d(5). Which is smaller: o or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10*65025\/5202*3*4\/(-45)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + g + g - 2*g + 3*g - 4 + g + 4 + 0 + 0 - g + (-4*g + 4*g - 2*g)*(-1 - 1 + 1) + (2*g + 7*g - 6*g)*(-7 - 1 + 4).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/8)\/((-297)\/198)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2645 - -4609. Suppose 93*h = 97*h - t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-216)*(-64)\/(-8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from davnhld?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w**3 + 8*w**2 - 8. Let f(h) = h**3 - h**2 + 1. Give 40*f(d) + 5*s(d).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(2 - (-7)\/(-2)). Let q(v) = 7 - r*v + 2*v + v - 1. Let l be q(5). Solve -2 = 3*h - l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 1\/2*s**2 + s**3 - 6 + 0*s. Find the second derivative of w(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 497, -3, -4, -410 in ascending order.\nAnswer: -410, -5, -4, -3, 0, 497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Suppose n - 225 = -5*v, k*n + 2*v = -0*n + 714. Round n to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.57592 to 2 dps.\nAnswer: -11.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(704) + 0 - sqrt(704)).\nAnswer: -32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*1\/(-2 - 6). Let y = 1.7 - 1.8. What is the closest to y in -2\/11, -1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/14 - 90\/(-21). Let s = -2 + 1.8. Which is the second biggest value? (a) s (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.61 - -15. Let y = -0.29 + t. What is the biggest value in -2\/7, y, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 286*a**4 + 7890*a**2 - a wrt a?\nAnswer: 6864*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3742872*v**2 + 6711121*v**2 + 11373940*v**2.\nAnswer: 21827933*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 26. Let t(i) = 2*i + 4*i - 7*i. Calculate q(t(z)).\nAnswer: 2*z**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 + 33. Is 7 a factor of (-344)\/(-7) + g\/238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -369 + 2215\/6. Put -1.6, i, 2 in ascending order.\nAnswer: -1.6, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 63 = -2*m, 37 - 13 = 4*a + 5*m. Calculate the remainder when 19 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69186 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 + 41112?\nAnswer: 41076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 + 2677*b**2 - 1795591*b + 5362707 = 0. Calculate b.\nAnswer: 3, 1337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, p: 2, h: 4}. What is prob of sequence ah?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h + 2*h)*(h**3 + 3*h**3 + 11*h**3) + (-2*h + 3*h + h)*(h + 0*h + 0*h)*(2*h**2 - 5*h**2 + 2*h**2).\nAnswer: 13*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 k when four letters picked without replacement from {w: 9, k: 11}?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 152346 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-5)*((-2)\/4 + 0). What is the third biggest value in 6, 0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**5\/12 - k**4\/24 + 2*k**3\/3 - 31*k**2. What is r(-3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 202 - 150 = -10 + 27 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, i: 1, v: 7}. Give prob of sequence ic.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 384 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 = -5*n. Suppose -n*r = -2 - 30. Calculate the lowest common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + 8. Suppose -5*z - 5*s + l = 0, 3*z - 25 = -0*z - 2*s. Suppose 2*k = z + 1. Solve c + k*c = -20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -143262, 2, -88 in increasing order.\nAnswer: -143262, -88, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**19\/t*t*t*t\/t**(-16\/7)*t)**(-12) assuming t is positive.\nAnswer: t**(-2208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488543 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10308222 by -17.\nAnswer: 606366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j + 257*j + 0*l + 2918 = -93*j - 36*j + 2*l, 3*l = -4*j - 11 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4*(-32)\/(-6))\/((4214\/126)\/(-43)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -48, -130, -298, -582, -1012, -1618?\nAnswer: -2430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -14, -2\/3, -12\/13, 5 in decreasing order.\nAnswer: 5, 3, -2\/3, -12\/13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 76, 55, 26, -11?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let d(o) be the third derivative of o**5\/4 + o**4\/24 - 29*o**3\/6 + 15377*o**2. Determine d(i(z)).\nAnswer: 15*z**2 - z - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyzzyyyyyyyyyyyzy. What is prob of sequence zy?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*g + 10*g + 1100 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 121*q**2 + 579*q - 31. What is v(-4)?\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 28 + -1 + 5. Suppose -z = -12*v + 9*v. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92860.24 take away 9092129?\nAnswer: -9184989.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -387, -539, -693?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -238097, -476194, -714291, -952388?\n\"Answer: -238097*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2706*t**3 - 87*t**4 + 2706*t**3)*(7 + 16 + 21)*(1 + 2*t - 1) + (2*t**4 + t**3 - t**3)*(4*t + 3*t - 5*t).\nAnswer: -7652*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1574112 is divided by 5766.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 7. Let o = l + 44. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.5 times -0.01?\nAnswer: 1.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a**3 - 10. Let l(n) = -n**3 - 1. Calculate 60*l(t) - 6*z(t).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5919720 to the nearest integer?\nAnswer: 2433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -108*q - 98. Calculate a(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -12. Determine t, given that z*t**4 + t - 3*t**5 + t**4 + 2*t**3 - 4*t**2 + 0*t**4 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2954, 3, 0, -4, -90 in increasing order.\nAnswer: -2954, -90, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 8:04 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1911 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918031639?\nAnswer: 7, 43, 61, 49999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*t + 6*t + 4*t)*(4 - 5 + 0) + (-t - 3*t + 2*t)*(2 - 1 - 2) - t - 4*t + t - 2 - t + 2 - 3*t - 24*t - 46*t.\nAnswer: -77*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.28 + 0.02. Suppose j + 0 = -4. What is the second biggest value in o, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 600 + -314. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2600, 20, 2.8 in descending order.\nAnswer: 2600, 20, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 1380845478?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 - 2.9. Which is the biggest value? (a) s (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7 + 42 = 5*j, 0 = -4*j - 4*i + 28. What is the lowest common multiple of j and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 3*c**3 + 17*c - 18*c - 4*c**2 - 2 - 3*c**3. Let a be p(-5). Suppose 3*m = m + a. Calculate the remainder when 67 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(6)*-1)\/(sqrt(125)*-6)*-3.\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -7\/3*b**3 + 0*b - 7\/24*b**4 + 0 - 2*b**2. What is the derivative of c(q) wrt q?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1441\/99 - 13)*((-2)\/(-4))\/(4200\/1440).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -31892, -4, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/72080 and -29\/110704?\nAnswer: 29336560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*x = -0*x + 20 + 66. Let n(z) = -3*z**3 + 8*z**2 - 4*z - 4. Let h(d) = -d**3 + d**2 - d - 1. Calculate x*n(t) + 4*h(t).\nAnswer: -t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuwuuuuuuuuuu.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/((p\/((p*p**(-7))\/p))\/p))\/p))**(-1\/10)*(((p\/p**24)\/p*p)\/p)\/(p*p*p*p*p*p*p**(-12)*p*p*p) assuming p is positive.\nAnswer: p**(-109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(26 - 404) - 550\/(-70).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468785?\nAnswer: 5, 29, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a microgram in nanograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-103)\/(10506\/396) - -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = 49*k - 257 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1.318, -1\/6?\nAnswer: -1.318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 6*y + 5*i, 0 = -2*y + 33*i - 36*i - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-120)*-2)\/(1140\/200)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**4 + 76460*p**3 - 4415985*p**2 - 28560870*p - 43873920 = 0.\nAnswer: -3, 64, 15234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1985?\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1652\/28347 - -2\/859. Let n = -42 + 298\/7. Which is the second smallest value? (a) n (b) -2 (c) -0.5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -611 + 1073. Let g = r + -2765\/6. What is the common denominator of (-1)\/3 - 310\/(-36) and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205604 at most 205605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 509*f = 508*f + 163. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = 3*n - 5*j + 165, -472 = 4*n + 4*j. Let w = n - -635. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 6*o = 1, 2827021*o - 29 = -4*b + 2827020*o for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*g**2 + 1 - 7 + 8)*(-g + 0 + 0)*(18*g + 2*g + 5*g) to the form b*g**4 + l*g**3 + a + i*g + k*g**2 and give k.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 1, -5, 5, 45204 in ascending order.\nAnswer: -5, 1, 3, 4, 5, 45204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*u = 232, b + 4*u = 124 - 2. List the prime factors of b.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + u. Let n(y) = 10*y**3 + 2*y**2 - y. Let r(m) = n(m) + 2*o(m). What is the second derivative of r(v) wrt v?\nAnswer: 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39828924797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/35, -16, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143003300 + -34?\nAnswer: -143003334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -56099.\nAnswer: 56099.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12582983, -12582975, -12582955, -12582917, -12582855?\nAnswer: -12582763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 1. Let b(w) = -4*w**2 + 1. Let v = -3 + 1. Let o = 1 - v. Let h(p) = o*f(p) + b(p). Let q(a) = -2*a**2 - 3. Determine 3*h(i) - 2*q(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2305 - 2795 = 34*i. Let z be ((-1)\/3)\/((-50)\/i). Sort 1, 4, z, -4.\nAnswer: -4, z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uum when three letters picked without replacement from couamauc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -2035442?\nAnswer: -2035455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 11*c + 2. Suppose -62*u + 61*u = -10. Let y(t) = -4*t + 51. Let k be y(u). Let n be z(k). Solve 4*i + 8 = n*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 0. Let k be c\/6*4\/(-1). Let i = 17 + -17.5. What is the smallest value in -0.1, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 13*c + 13. Is a(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.87225 in 0.5, 2\/7, 0.04, 4\/7, -0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 - 18*v - 99. Calculate x(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 14*n. Let g(r) = 567*r - 1. Give g(c(y)).\nAnswer: 7938*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002358167 rounded to 7 dps?\nAnswer: 0.0000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2466 + 3044 - 910 = -73*m - 42*m for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/611130 less than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*r - 6. Suppose 2*h + r*p = 30, p + 2*p + 15 = 0. Suppose -c - 6 = -g, c + 4*c + h = 0. Which is smaller: g or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g + 4793*c = 4789*c + 276, 5*g - 83 = -3*c for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10295*w - 13 = -10282*w. Let x(s) = 10*s + 6. Give x(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1461230?\nAnswer: 5844920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-60))\/((-6)\/(-75)). Suppose -4*r + 504 = -9*r - 4*p, -3*p - 303 = 3*r. Let g be ((-8)\/6)\/(r\/75). Solve u - g = -b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 620439 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2003519559718 and 0?\nAnswer: 2003519559718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1836894 divided by -29\nAnswer: -1836894\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 1. Let j(w) = w**2 + 12*w. Let t be j(-10). Let a = t - -11. Let x be d(a). Solve 3*q + 1 = -4*n, 3*n = -5*q + q + x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16, -1, 3.\nAnswer: -16, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 4:10 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7554 - -7558. Let n(s) be the third derivative of 1\/240*s**5 + 0 - 22*s**2 + 0*s + 1\/96*s**a - 1\/12*s**3. Factor n(g).\nAnswer: (g - 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465*z**2 + 190*z**3 + 235*z**2 + 230*z**2 - 183*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30196636747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845975556.\nAnswer: 2, 107, 4313027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/11)*g)\/(((g\/g**16)\/g)\/g*g*g*g) assuming g is positive.\nAnswer: g**(162\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 102 = 19*u, 18*u - 16*u - 3*g + 51 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -947*u + 20. Let c be l(-10). Suppose -3*w + c = 5*p, 4*p - 7*w = -3*w + 7624. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26527, -26529, -26533, -26539, -26547, -26557, -26569?\n\"Answer: -a**2 + a - 26527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13826 and 56642.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 9:23 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*-2*sqrt(125) - sqrt(125))**2*1 + ((sqrt(60) - (-3*sqrt(60) - sqrt(60)))*6)\/(3*sqrt(36)\/sqrt(3)).\nAnswer: 10*sqrt(5) + 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 15) to base 11.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (2 + -4)) + -13 - -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 782 = -8*q - 505 + 605 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*l = -379, 3*l = -v + 40 + 29. Is 65 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 270 - 36. Let n be (1\/(-2))\/(2\/244). Let k = 87 + n. Calculate the highest common factor of x and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 z when three letters picked without replacement from czcvccczcc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15 - 12 - (-1 - -4). Suppose -10*b + 3*b = u. Suppose 75*a - 80*a + 3205 = b. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 650 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 2. Let w be (11\/(v\/1002) - 2)*1040. Round w to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 15*q**2 - 15*q + 60. Let d be m(8). Solve d*s = 26 - 34 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/89 - 157\/623. Let n = -5283\/5 + 5946\/5. Let h = 132 - n. Which is the nearest to x? (a) -1\/7 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 13*g + 30. Let q be d(5). Let v be 232\/(-40) + q\/(-2). Let o = -3.2 + 3. Which is the nearest to o? (a) -5 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 617 - 566. Let f = -55.834005 + 4.83400526. Let i = f + m. Round i to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191450 = 284*x - 1359190. What is the greatest common divisor of x and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/60)\/(3\/(-6*2)). Let m = 313 + -2813\/9. Which is the second smallest value? (a) s (b) 6\/7 (c) m (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1507)\/(-88) + -7 - (-3 - 125\/(-40)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 56. Let x = v - 17.5. What is the second smallest value in x, -2, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/6)\/(2\/9). Suppose -4*j - a = -101, 3*j - 47 = 2*a + r*a. Is 16 a factor of j*(3 + -2 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/8628 and -77\/135172.\nAnswer: 405516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**2 - 2*q. Let f be u(1). Is 35 - (0 + f - 6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8*j = 42. Suppose j = 3*a + 17. Suppose -2*k + m - 1 = -0*m, 0 = 2*m + 6. Which is greater: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1127 + 10845. Is v equal to 9717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a + 2, 9 = 4*s + 5*a. Let u be 8\/3*3\/2. What is the highest common divisor of u and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/((-190)\/8)*(-5)\/2. Solve b*s - 7*s - 15 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*z**2\/8 + 693*z\/4 + 5929\/8.\nAnswer: (9*z + 77)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 675, -3\/8, -8, -6\/29 in ascending order.\nAnswer: -8, -3\/8, -6\/29, 675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + p - 1255, -5*f = 4*p + 1733 + 1385. Let j = f + 1315. What are the prime factors of j?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnna when four letters picked without replacement from {q: 1, a: 3, f: 1, n: 2, m: 6}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 188151 = l, 5*i - 33 = -73. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 8*y - 7. Let n(f) = 8*f - 1. Let m be n(1). Let i be p(m). Suppose l - 5*d - 129 = i, -3*l = -6*l - 3*d + 387. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (630\/56)\/(-1*18\/240). Sort 4, q, 2 in decreasing order.\nAnswer: 4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111734.784 - -111734.28399957. Let t = w + 0.5. Round t to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/20 and (-12)\/(-2) - (-5)\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 32853*m**2 - 69*m - 70. What are the prime factors of b(-1)?\nAnswer: 2, 43, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -164 (b) 1\/9 (c) 3\/23 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 988?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 914742715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*n + 70308 = 187*n + 160*n. Solve 34*p + 8*p = -n for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1198355 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -362.51 - 30.29. Let t = p - -345. Round t to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, z: 1, b: 1, u: 5, k: 5, d: 3}. Give prob of sequence dx.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036442 is divided by 196?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3.88. Let m = f + -0.28. What is the second smallest value in m, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -m. Let r(v) = -9*v**2 - 4*v. Let l be r(m). Let q be 17625\/(-2)*l\/12. Round q to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1102 - 1098. Suppose 15 = -4*x + x. Sort x, -2, i.\nAnswer: x, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 9*h - 2. Let c be f(8). Let k(x) = x + 0*x - c*x. Let z(a) = 0*a - 4*a + 3*a. What is z(k(d))?\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 7)*(-4 - -3). Find the common denominator of 101\/6 - (-5 - -8) and 2\/k + (-91)\/(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68166193*m = -68166181*m - 672 for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185115 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shss when four letters picked without replacement from {h: 4, s: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:34 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**5 - 15087*i**4 + 75330*i**3 + 150780*i**2 - 301368*i - 361728 = 0.\nAnswer: -2, -1, 2, 6, 5024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 = 9. Solve 0*c - 4 = 4*c, l*t - 15 = -5*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzp when three letters picked without replacement from {i: 4, p: 2, z: 3, l: 1, y: 1, v: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -31. Suppose d = -q + 5*q. Find the second derivative of -8*c + q*c - c**2 + 0*c**2 + 2*c wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*k - 33, 3*k = -2*k - 25. Solve 0 = 8*z - 3*z + 2*v + 6, z + 12 = -b*v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 y when three letters picked without replacement from {k: 1, n: 1, y: 4, d: 2, j: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100100110011011 + 1110101101?\nAnswer: -101100010111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-10 + 3 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 a factor of 191220406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - b + 14. Is 14 a factor of m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.71 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -186544, -371895, -557246, -742597?\n\"Answer: -185351*u - 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2451 divide 26902176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14\/(11*16\/88) and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 12*j**2 + 10*j - 27. Let q be i(9). Let f = q + -299. Solve f*z = 23 - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3 and -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -17*g**2. Suppose 8 = -4*r - 4. Let t(n) = 6*n**2. What is r*o(s) - 8*t(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 317 and -1483.\nAnswer: -1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - f**2 + 7*f + 2. Let s be v(0). Let y be (-9 - (-282)\/15) + s\/10. Solve -2*a = -0*a - 3*o - y, 0 = 3*a - 4*o - 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 65\/(-7 + 2) - -3421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7389.\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**4 - 225*m**3 + 2*m**2 - 7*m wrt m?\nAnswer: 48*m - 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/(-735))\/((-3)\/18)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2284 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 188*b**3 + 940574*b**2 + 50030*b = 0.\nAnswer: -5003, -5\/94, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**4 + 64*c**3 + 236*c**2 + 176*c = 0.\nAnswer: -11, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138054 and 2394?\nAnswer: 414162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q + 14. Let h be a(-1). Solve -4*s = -h*s - 5*y + 5, 3*y = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/4682 and -7\/10.\nAnswer: 23410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 1312.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*s = 2*s - 70, 4*s - 160 = -4*p. Suppose -4*j + o = -0*o - 76, -3*j + p = 4*o. What is the highest common factor of 12 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192 + -200. Let c = -10.3 - -10. Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - m + 3 = 0, -2*j = j + 4*m - 12. Let f = -306 + 3368\/11. Factor -f + 2\/11*c**2 + j*c.\nAnswer: 2*(c - 1)*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 0. Let s(g) = -5*g**2 + 5*g + 10. Let r(k) = -k**2 + 2. Let j(y) = 4*r(y) - s(y). Does 24 divide j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 16) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025732387 to 6 dps.\nAnswer: -0.002573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -a17?\nAnswer: a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*l - 14 - 5, 2*k + 2*l + 8 = 0. Let n = 57 - 78. Let q be (2\/(-13))\/(k - n\/15). Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -1\/2, -20, 1, 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71695 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 0*q - 7 + 8*q. Let h(t) = -15*t + 15. Give 6*h(m) + 13*o(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 + 16 - -62) + 19 - 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.018 and -0.1683545379?\nAnswer: 0.1863545379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22499 + 22499. Factor j*k - 2\/5*k**4 + 0*k**2 + 0 + 6\/5*k**3.\nAnswer: -2*k**3*(k - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:10 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5\/6, 5, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 27\/427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9379456.\nAnswer: 2, 73277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 8*y + 2*y)*(360*y**2 - 13*y - 13*y + 40*y - 14*y).\nAnswer: 3960*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-2 - -6)\/4. Let k(u) = u**3 - u**2 + 1. Let h be k(-1). Let c be (h\/(4 - v))\/(-1). What is the nearest to c in 4, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -c + 21, -36 - 69 = -5*c - 4*q. Let m = c + 8. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3 = -11. Suppose -o*d + 2*g = -g - 7, 3*d - 9 = 3*g. Find the third derivative of -2*u**6 + 3*u - u - 4*u**2 - d*u wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 5*m + 5, 0 = m - u - 0*u + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**5\/20 - h**4\/3 - h**3\/3 + h**2 - 42*h. Suppose 0 = 2*c + 3*f + 2*f + 31, 3*c = 4*f + 11. Determine p(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 0 + 13\/270*x**5 - 2*x**2 - 1\/189*x**7 - 3*x + 5\/54*x**4 + 1\/1512*x**8 + 0*x**3 - 1\/180*x**6. Let p(h) = 0. Calculate h.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1843, -1884, -1939, -2008, -2091?\nAnswer: -2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 0 - 10) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3328*k**2 + k + 1 - 3 + 3314*k**2 in the form r*k**2 + i*k + j and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 10:38 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.812 + 4.712. Let z = -1 + 0. Which is the third biggest value? (a) -5 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/(-6) + 2\/3. Let t = p + -2. Suppose 5*m = c + 1, t*m - 7 + 2 = 5*c. Solve -3*y = 5*u - 4, 5*y - 2*y - 5*u + 16 = m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-35)*n*(n\/n**(-4\/21))\/n)\/(n**(-9\/4)*n**(1\/14)*n) assuming n is positive.\nAnswer: n**(-2741\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.306278 rounded to 3 dps?\nAnswer: -0.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 13113.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 + -49. What is the remainder when 106 is divided by v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6980, 7728, 8476, 9224?\nAnswer: 9972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d + 8. Let o be r(-5). Let h be 8\/o - 2\/(-3). Solve -4*y - 5*u - 8 = h, -3*y - u = 1 - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65739 = 4426*r - 18682 - 356877 for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 535 - 683. Let p = 737 + r. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -101807, -5 in increasing order.\nAnswer: -101807, -5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58599, 234446, 527533, 937860, 1465427?\nAnswer: 2110234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 4:59 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-8)*1\/(3\/(-4)). Suppose 8*i = 9*i + n*x - 1135, 0 = -2*i - 2*x + 2274. List the prime factors of i.\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5)*1290\/1204*20\/30.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from pcpcp.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1709 divide 146616819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761248 = 89*s + 763562 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0124447553 rounded to 5 decimal places?\nAnswer: 0.01244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-6)*(-12)\/(-2). Suppose 0 = -10*g + 5*g + q. Suppose -g*z + 7 = -2. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 + 121773*q**2 + 1236391440*q + 13585575300 = 0. Calculate q.\nAnswer: -20290, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2005 (base 10) to base 4\nAnswer: 133111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 4)*(-15)\/(-35)*21\/18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11794*w**3 + 9105 wrt w.\nAnswer: -35382*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -271, -600, -1057, -1642?\nAnswer: -2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 0, -5, 0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 12 = -f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-3)*(-30)\/4. Suppose 2*p = -g + 31, 0 + n = 5*g. Let s = p + 11. Solve -4*t - s = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 3. Let z(a) be the third derivative of a**4\/3 - 2*a**3 - 8*a**2. Let o(x) = -9*c(x) + 2*z(x). Does 12 divide o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m + 2*m + m**2)*(-2 - 4 + 3).\nAnswer: -3*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4383.983mg?\nAnswer: 4.383983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*x - 3. Is ((-1573)\/(-33))\/((-1)\/x) + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99880.\nAnswer: 2, 5, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*c + 61*c + 4*t = -17, 3*t = 4*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5871 - 5884. What is the closest to -1 in -4, 0.23, y?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19478458?\nAnswer: 2, 19, 512591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 2}. Give prob of sequence myy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1113375 (base 8) to base 5\nAnswer: -34111142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(125)*4 + (sqrt(125) + 0)**2*-2.\nAnswer: -252 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21491.2 + 21491. Let k = 8.91 - -0.09. What is the nearest to k in -3, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6740646 milligrams in tonnes?\nAnswer: 0.0000000006740646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50343*h = 50361*h - 810 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 119*a + 116*a - 17 = 0, 5*a = p - 19. Let u = -3 - -8. Solve 0 = -p*m + 3*q - 2*q - 16, -5*m = -u*q + 35 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6452*d**3*q*r + 939*d**3*r**2 - d**3 - d**2*q*r**2 + 7*d**2*q - 291*d*q*r**2 - 932*q*r - 2 wrt d?\nAnswer: -38712*q*r + 5634*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14596 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*z - 43, 0 = u + z - 24 - 19. Suppose 0 = -4*c - g + 830, 2*c - 424 = 65*g - 61*g. Calculate the remainder when c is divided by u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 432 or 1297\/3?\nAnswer: 1297\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:44 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 195?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q - 3. Let w be p(-1). Suppose -44*i + 47*i - 12 = w. Let k = 7 + 3. What is the highest common divisor of i and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 6*b**2 + 3. Let y be 4*(-12)\/(-8)*1. Let n be m(y). Suppose -8 = -j - n. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Let x be (204\/16 - -4) + 3\/(-4). Let n(q) = -5*q**2 + 0 + 16 - x. Give r(n(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**6\/120 - s**5\/15 + 5*s**4\/24 - s**3\/3 - 4*s**2. Suppose 3*q + 3 = -12. Calculate r(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12421788 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**3 + 7055*p**2 + 7120*p - 84720 = 0 for p.\nAnswer: -4, 3, 1412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 1, p: 2}. Give prob of sequence pze.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2036.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 151 + 131 = 0. Sort z, 3, -1 in increasing order.\nAnswer: z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533711 (base 9) in base 4?\nAnswer: 1031203330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -10*t**3 - t**2 + 1. Suppose 30 = y - 5*c + 26, 0 = -4*y + 4*c. What is g(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. Let c(k) = k**2 - 2*k. Let q be c(3). Suppose 0 = 4*t + 5*z - 37, -18 - 11 = -4*t + q*z. Calculate the remainder when t is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*a + 4*i + 20, 5*a - 25 = -2*i. Determine t, given that -22*t**2 + 12*t**2 + 45*t + a*t**2 = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4474592924?\nAnswer: 2, 139, 8047829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -172 and -171 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 75*t + 121. Let r(k) = -38*k - 60. Suppose -5*o + 71 = 41. Let c(h) = o*p(h) + 13*r(h). Differentiate c(l) with respect to l.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c - 1\/3*c**3 - 7\/2*c**2 + 0. Is 2 a factor of i(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -252.434117 + 252.49. What is v rounded to 4 dps?\nAnswer: 0.0559","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000268 rounded to seven dps?\nAnswer: -0.0000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.42961ng in micrograms?\nAnswer: 0.04642961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((1 - 2) + 0)*33\/1188*0. Let c(x) be the first derivative of 7 + 8*x**3 + z*x - 31\/2*x**2. Find the second derivative of c(a) wrt a.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 1309 = -343. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + -1 - -2 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/399 and -115\/266.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 2 - (3*-34)\/3. Suppose -g - z + 5 = 0, g + 2*z - 3 = 4. Calculate the highest common factor of o and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4\/z)\/z**(-2\/9))\/(z**1\/z*z*z*z**(1\/6))*z**(1\/2)*z**(-1\/4)*z**1\/(z**(-3\/7)*z*z) assuming z is positive.\nAnswer: z**(185\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 5, -8, -34, -341, 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -13 + 11 + (65 - 0). Let k = -947\/15 + b. What is the third biggest value in 0.5, 3\/2, k, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = -380. Calculate the greatest common factor of 476 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -32) + 4 + -12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 5*c - 26. Suppose -q + 13 = -4*m, c = 5*q - 2*q. Let k be m*(-3)\/(2 + 4). Which is bigger: k or -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-156)\/(-10) - -1 - (-204)\/(-340). Solve -2*u = 2*u - a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5107640296.\nAnswer: 2, 11, 101, 574667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 148*u + 9. Let q(h) = -149*h - 9. Let d(l) = -5*q(l) - 6*x(l). Let f be d(-3). Calculate the remainder when (-8)\/((-32)\/f) + 1 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-22)*s)\/s*s**13*s**(-2\/7)*(s**(3\/8)\/s)\/s assuming s is positive.\nAnswer: s**(1909\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-3)\/30*(-1)\/((-20)\/3300*-15)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -3*v**7\/140 - 17*v**4\/24 + 3*v**3 - 17*v. Let f(c) be the second derivative of y(c). Differentiate f(r) wrt r.\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2280 divided by -95.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 + 65. Let y be 75\/v*(-32)\/(-20). List the prime factors of (0 - 0 - -12)*(-9 + y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000927 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -282*u - 221*u + 646*u - 6864 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19013.3*-0.5\nAnswer: -9506.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 4*q**2 + q**2)*(8*q + 8*q - 4*q).\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 633477 - -5?\nAnswer: 633504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2319*x**2 + 2316*x**2 - 4634*x**2 - 2 - 140*x**3 in the form m*x**3 + a + j*x + n*x**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 981 divide 16454005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-12)*(-1118)\/2. Let i be 4975\/10*1\/(-5). Let m = i + j. What is the common denominator of m and -26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1305)\/(-29) - 12\/(4 - 0). Calculate the greatest common divisor of 87 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*k + 8316, -38*k - 2*y + 4158 = -36*k. List the prime factors of k.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2658.01 + -2658. What is the closest to 0.1 in -5, -3, 0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 1)*-1*180\/(-216).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(-5) - (-208)\/260.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/2016 - 5609\/18144. Find the common denominator of j and 26\/33.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2 - 1628*q - 190848 = 0. What is q?\nAnswer: -672, -142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3 + 0*t**3 + 2 - t**3 - 7*t**2 - 7*t. Let y = 3 - 9. Let a be m(y). Let c(b) = -b**2 + 4*b + 4. Calculate c(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1467*j - 1771. Let t be v(15). Round t to the nearest one hundred.\nAnswer: -23800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2 + 2*f**2 + 2 + f. Let l be m(-1). Sort l, -4, -3.\nAnswer: -4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + l + 1. Let r(g) = -5*g**5 - 5*g**3 + 2*g**2 + 5*g + 5. Let x(i) = 5*p(i) - r(i). Find the third derivative of x(y) wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.1, 4, 22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 23 = 6*v + x, -5 = -2*v + x. Let s = 7 - v. Let w be (s + 0\/(-2))\/1. Solve -l = w*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 2)*-6 - (6 + -2). Let w be -2*85\/260 - v\/(-4). Which is the second biggest value? (a) w (b) 2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -5*q - 47, 4*r + 114 = 5*q + 153 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 - 6126\/36)*-4*3\/1?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126754000 rounded to the nearest 1000000?\nAnswer: -127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 69591, 139126, 208661, 278196, 347731, 417266?\n\"Answer: 69535*f + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 812750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -912\/7 + 130. What is the closest to 0.2 in v, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkk when three letters picked without replacement from wwwkwowko?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -696 (base 10) to base 8\nAnswer: -1270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -435415152 - 11?\nAnswer: -435415163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10181 or -34095?\nAnswer: -34095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 14. Let q be d(18). Let f = q + -48. Suppose 3*m - 402 = -r, -4*m + 669 = m + f*r. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13184334?\nAnswer: 2, 3, 563, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2835596 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 1)*(-4*c + 2*c + 0*c).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141074 is divided by 165.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.212 - 4.216. Let j = -25 + 10. Let d = q + j. Round d to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 80, 150, 238, 338, 444?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5504 is divided by 1100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/133? (a) -0.7 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 plus -3.18?\nAnswer: -246.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.212 - 0.2685. What is k rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 - 0.4?\nAnswer: 77.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -13*n**2 - 76*n + 141. Let v(h) = 8*h**2 + 50*h - 94. Let i(c) = -5*g(c) - 8*v(c). Calculate i(11).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 32*u + 4. Let c be g(16). Suppose c*v - 10*v = -6. Solve 5*o + v = 2*f, 8 = -4*f - 0*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + (4\/(-2) - 1). Suppose 300 = r + s*r. Find the common denominator of -93\/10 and (-36)\/r - 6\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 - 826*m**2\/5 - 2516*m\/5 + 1664.\nAnswer: 2*(m - 416)*(m - 2)*(m + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(2696 - 2696 + 383*v).\nAnswer: 766*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 4214608887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1 + sqrt(13) + 1))**2 + 5 - (3 + 5*(sqrt(52) + 3))) + 1.\nAnswer: 134*sqrt(13) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194 and 95254.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58 + -2134?\nAnswer: -20cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 64. Let w = 23\/903 - -3\/43. Find the common denominator of w and 274\/(-48) + (-15)\/l + -1.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1002)\/(-42) + 72\/63. Let n(y) = 10 + 23 + 4*y + 4*y + y. Is 39 a factor of n(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(((-2)\/2)\/(-25)). Suppose -47*f = -70*f - 345. Let j = w + f. What is the highest common factor of 4 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12116*t + 20 = -n - 12118*t, 3*n + t = -80 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 - 3*q**4 + 2*q**4 + (-q**3 - q**3 + q**3)*(0 + 0 + 2*q) + 2 - 2 - 2*q**4 - q**3 - 3*q**4 + q**3.\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 8)*1\/2*2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740879 is divided by 360?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.8 and -2351.14.\nAnswer: 18338.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.12 (b) 2\/3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 7:04 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(187)*-1)\/(-1*sqrt(1100)).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -59, 3\/1784, -1998?\nAnswer: 3\/1784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 9:22 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 164424686 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 90 = 3*f, 0 = -0*z + z - f + 22. What is z rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46 and 680.\nAnswer: 15640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 3*x + 2*x + x - 7 - 2*x**2. Calculate h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150567 and 2046?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 2, 0, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 34450?\nAnswer: 34450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyddyfcycyyydycycy. What is prob of sequence dycf?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073115943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683526205.\nAnswer: 5, 863, 158407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6*c - 422. Let k be j(-71). Let t(l) = 16*l**2 + 4*l + 6. Let w be t(-4). Suppose k*u - 2*u = w. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15438023?\nAnswer: 17, 563, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + t = -8, -5*t + 16 = 2*r - 5*r. Let z = 8 + -19. Let n = r - z. What is the smallest common multiple of 11 and n?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h - 3*h)*(66713*h**2 + 239*h - 4*h**3 - 66713*h**2).\nAnswer: 8*h**4 - 478*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1828890 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1615971\/31 - -52128. Let n = 6 + -3. Let c = n + -2. Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 4:43 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**5\/15 + 2*a**2. Let k(h) = -3*h - 5. Let c be k(-2). Let v be s(c). What is the third biggest value in -0.3, v, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 52. Let v = f + -16. Solve v + 12 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 76 (b) 5 (c) -3\/5 (d) 8 (e) 5\/3 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.39 + -5.39. Put -2, m, 213 in decreasing order.\nAnswer: 213, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130444\/7 - 18634. What is z in 4\/7*z**2 - 2\/7*z**3 + g*z + 0 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -329021812, -329021811, -329021810?\n\"Answer: c - 329021813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 3*q**3 + 5*q**3)*(0 + q**2 + 0) + 5*q**4 + q**5 - 5*q**4 - 104*q**2 + 104*q**2 + 6*q**5.\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -11*z - 339. Calculate k(-31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*j - 5. What is d in -1 - 3\/4*d**j + 2*d = 0?\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - 2644.\nAnswer: -2643.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 508516 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13077*i = -13050*i + 54 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 188 = 3*m. Let w = m - 16. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b7 + -9c909?\nAnswer: -9c822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 46131822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/6 + 3*f. Let k be l(-1). Solve o - 4 = k*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 760376.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-7)*2*238\/(-8)*524\/(-262).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 2*k + 34 = 0, 51*u - 54*u - 5 = 4*k for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s + 1. Let m be a(2). Suppose -5*q - m = -22. Suppose 0 = 4*l - l - 2*y - 83, 3*l - 77 = -4*y. Calculate the greatest common factor of l and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/60, -1\/2, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 60*f + 6690. What is the lowest common multiple of 1926 and x(-58)?\nAnswer: 9630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 225*j**3 + 1215*j**2 + 1755*j.\nAnswer: 5*j*(j + 3)**2*(j + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 1179926.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 + 4*y**2 - 13. Let z = 21 - 15. Let q(w) = -8 - 4*w**2 + z*w**2 + 2 - w**3. Determine -6*h(i) + 13*q(i).\nAnswer: -i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26490404 - 5.\nAnswer: -26490409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 1442639?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -468.0000828 - -468. What is d rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v - 129780000 = 22*v. What is v rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.00974 and 5.\nAnswer: 0.0487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5 - 2630*s**4 + 831136*s**3 - 5720992*s**2 + 9753600*s = 0. Calculate s.\nAnswer: 0, 3, 4, 508, 800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/5 of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -3\/5, -2\/5, 2\/35, -23 in descending order.\nAnswer: 2\/21, 2\/35, -2\/5, -3\/5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 8686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2204, 2347, 2586, 2921, 3352, 3879, 4502?\nAnswer: 5221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 26. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25a - -3914a?\nAnswer: 389a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**6\/120 + t**5\/4 - 7*t**4\/8 + t**3\/6 + 2*t**2 - 6. What is the hundreds digit of i(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 104237238 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.07, 5, -1\/3, -4\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 24*f**2 + 1 - 11*f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1304\/45 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 19831*f - 889. Does 22 divide y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.18 (b) 16\/17 (c) 5 (d) 2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z**3 - 3*z - 3. Let v(x) = 209*x**3 + 77*x + 77. Give 77*r(f) + 3*v(f).\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, y: 6, g: 10}. Give prob of sequence xgx.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135335, -3, 0, 11 in descending order.\nAnswer: 135335, 11, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5091 = 20*m - 729. What are the prime factors of m?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*1 + 1 + -4. Let p = -8 - s. Let u(d) be the second derivative of d**4\/12 - 2*d**2 - 2*d - 84. Give u(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2485?\nAnswer: 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -8113, -52?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1 + sqrt(2))*6*-6 + 4)**2 - -1*3*-6*(sqrt(2) + sqrt(18) + -2).\nAnswer: -3024*sqrt(2) + 4309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51032232161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -61. Suppose 2*h - 140 = -2*g, -6*h - 141 = -2*g - l*h. What are the prime factors of g?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -5\/4, 0.5, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7910 and 7006?\nAnswer: 245210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o + 3*o + o)*(-3 - 3 - 6)*(16 - 13*o - 16)*(1 - 1 + 1)*(4*o**2 - 4 + 2 - 7*o**2).\nAnswer: 1404*o**4 + 936*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -509 minus 5479.2?\nAnswer: -5988.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4)*(-7)\/73325. Let j = 70013682848 - 2053501317713953\/29330. Let q = t + j. Calculate the common denominator of -9\/2 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from foqfnffnnnvnnnnvn?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50712 is divided by 373?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-8))\/((-4500)\/200).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 213605 + -0.94\nAnswer: 213604.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9883 + -9888. Put x, -3, 5 in increasing order.\nAnswer: x, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -71, 4, 19 in descending order.\nAnswer: 19, 4, 0, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 + 0*i**3 + i - i**3 - i**3 - 77*i**2 + 2*i**3 as t*i**2 + l*i**3 + u*i + h and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -52.4. Let w = h - 0.4. Let k = -3 + 3.5. Which is the second smallest value? (a) k (b) -2\/15 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c. Let o(j) = -7*j**2 - 16*j. Let m be (-6)\/30 + 0 + (-119)\/5. Let v(w) = -w**2 - 2*w. Let n(z) = m*v(z) + 3*o(z). What is p(n(g))?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2. Let p(t) be the third derivative of -t**7\/2520 + t**5\/20 + 2*t**2. Let y(u) be the third derivative of p(u). What is y(g(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1416856525, 1416856527, 1416856529, 1416856531?\n\"Answer: 2*h + 1416856523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anppzziipaniza. Give prob of picking 1 a and 1 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*m**2 + 704*m - 1479*m - 480 + 459*m - 4*m**3.\nAnswer: -4*(m + 3)*(m + 5)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 9*b - 5*b)*(-2 + 2*b + 2) - 5*b**2 + 3*b**2 + b**2.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = 17 + 97 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, m: 5, n: 1, r: 1, d: 1}. What is prob of sequence nf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a557 (base 16) to base 7.\nAnswer: 1321352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20606\/10300 + -3*8\/12. Let f = 381199\/169950 - a. What is the common denominator of 109\/24 and f?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufxs when four letters picked without replacement from {u: 1, s: 1, x: 1, f: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73004917 is divided by 1998?\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5150 + 1443. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {o: 3, g: 1, s: 12}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 40*z**2 + 65715*z + 57470 = 0.\nAnswer: -1642, -7\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037096995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 383.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {h: 3, c: 2, e: 2, l: 1, m: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -1. Let m = 6 + i. Let h(l) = -2*l**3 + 2*l. Let n(r) = -r. Calculate m*h(t) - 2*n(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-2)*1\/2. Let d = 984 - 696. Suppose -4*k = 4*v - d, 0*v - 2*k = v - 67. Calculate the highest common divisor of v and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 256 + -75?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 898*q**3\/7 - 8088*q**2\/7 + 54*q\/7.\nAnswer: 2*q*(q - 9)*(449*q - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -12.38. Let v = -111 - -109.34. Let j = b - v. Round j to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 23*q**3 + q**2 - 1. Let m be j(-1). Let b = m + 81. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 840*s + 18472. Give i(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.04, 4993001\/3, 0.1 in decreasing order.\nAnswer: 4993001\/3, 1.04, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57909 or -57929?\nAnswer: -57909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 11:41 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j - 101. Let y(p) = 6*p + 82. Calculate -3*w(m) - 4*y(m).\nAnswer: -9*m - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-7)\/p*p*p*p*p\/(p**15\/p))**(-1\/13) assuming p is positive.\nAnswer: p**(16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -355 + 523. Let h = v - 163. Let t = -3.8 - -4. Which is the closest to t? (a) -3 (b) h (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 35999376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, l: 4, k: 3, y: 2}. What is prob of sequence ykl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 844 is divided by 42.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 3*f + 2. Let i be c(-3). Let p be (-1)\/(i*(-1)\/4). Factor k**2 - 8*k**3 + k**p + k**3.\nAnswer: -k**2*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1 - a**3 - 3*a**2 - a + 2*a**3 + 4*a**2 - 2. Determine k(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(5 + -15) - (-13 + 0). What is the highest common factor of 28 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) 11\/3 (c) -4 (d) -5 (e) -0.53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a6e809 + -6?\nAnswer: -a6e80f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 873689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -100*g - 2. Let y be s(-1). Let p = 196 - y. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48581*b**2 - 55499*b.\nAnswer: 97162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -15. Sort -4\/3, -2\/11, y.\nAnswer: -4\/3, -2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.137516 litres?\nAnswer: 6137.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -23*h + 1. Let x be l(-1). Suppose m = g + 2, -6*m + x = 2*g - m. Find the first derivative of g + 2*c - 3*c + c + 3*c**3 wrt c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1184394645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 + 61 + 69 - 154874*z + 65.\nAnswer: -154874*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2667 is divided by 2623?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1393 minus 58736.012464?\nAnswer: -60129.012464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2887475 years in months?\nAnswer: 3.46497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 12*v + 18. Suppose 8 + 7 = m. Let z be w(m). Let y = -123\/2 + z. Is 1 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -42*l + 11. Let i(n) = n**2 - 56. Determine u(i(w)).\nAnswer: -42*w**2 + 2363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*n + 3*n - 8, 5*x = 5*n - 10. Let c be (-18)\/112 - 0 - 38\/(-133). What is the closest to -2\/5 in c, 2\/3, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68 + -665?\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 51. Let r(y) = 379*y. Calculate d(r(n)).\nAnswer: -379*n + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, -17, -53, -125, -245, -425, -677?\n\"Answer: -2*o**3 + 2*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101012 - 22112?\nAnswer: -2200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-seven thirds of a decade?\nAnswer: 2680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 10935808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 1 + 14 + 3 - 3. Let m be c(7). Let h(n) = n**2 + 5*n. Let q be h(-5). Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2199*z - 2217*z + 288. Solve 4*o + 2*b + 0*b - z = 0, -o - b = -3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = 31897 - 31708 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*g - 225 = -83, 43 = h - 2*g. What is the first derivative of -86 + 2 + 120*w**4 - h - 11 wrt w?\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 + 4*y - 5*y + 4*y - y.\nAnswer: 2*y + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**5\/15 + 46*a**2. Let f(s) be the second derivative of -s**3\/2 + s. Give f(m(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -16*m - 1. Let s be f(-2). Suppose -3*o + 23 = -s. Is 8 a factor of 1\/(-3) + 600\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 59*q + 184. What is z(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78.5 + -78. Which is the nearest to 2\/7? (a) u (b) -8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-6)\/(-10) - 1512\/(-180) and 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -448 - -712. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2566 = 4*k, 75 = -5*k + 110. Does 94 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1424735656 and 12?\nAnswer: 4274206968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 33532534*k - 562215418230578.\nAnswer: -(k - 33532534)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 21 - 6. Let j = -0.3309 + 2.4309. Put j, -1\/10, 1\/5, h in ascending order.\nAnswer: -1\/10, 1\/5, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 176\/(-32)*(-13 + 1). Let x = 18 - q. Let g = 91 + x. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1641.019527 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(24) + (sqrt(72)\/(sqrt(9)\/sqrt(3)) - sqrt(24)) + sqrt(24))\/(sqrt(132)\/sqrt(99))).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 + (14 + -22 - -58)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1789, -1869, -2001, -2185?\n\"Answer: -26*j**2 - 2*j - 1761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (5\/1 + -21)\/2. Solve 9 + 1 = 2*h + 4*s, -k*h = 5*s - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.07004 meters in micrometers?\nAnswer: 11070040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/4 - 1669*u**2\/2 - 6679*u\/4 - 835 = 0.\nAnswer: -1, 3340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172 + 1179\/7. What is the common denominator of u and 139\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -204155\/24 - -25535\/3. Calculate the common denominator of h and 44\/(-110) + (-749)\/(-60).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20978267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 8) to base 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*b - 29475 = 0, 37538 - 184813 = -5*m + 5*b. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**2 + y - 7. Let v be p(-3). Let a(r) = r**2 + v*r - 53*r + 5*r**2. Let k(o) = 7*o. What is k(a(x))?\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 7*w - 3. Suppose g + 0*g = 35. Suppose 8 - g = -3*d. Calculate the remainder when 59 is divided by z(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11205 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57790 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1408?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -5509.\nAnswer: 11\/5509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(110)*-1 + sqrt(110) + sqrt(110)))\/sqrt(11))\/(sqrt(4)\/sqrt(2)*-4 + sqrt(2) + -5*sqrt(18))*-1.\nAnswer: -sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1337082*n**2 + 556254?\nAnswer: -2674164*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 11*q**2 - 11*q + 10. Give c(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1279 + -1)*4500\/(-8). Suppose 3 = -p + 2*p. Suppose -o = p*y + y. What is y rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6926 + -6925. What is the third biggest value in g, 4.6, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 37*p + 0 - 33*p + 6*p**2 - 4. Let y(f) = f**2 - f - 1. Let c(j) = -r(j) + 4*y(j). Find the second derivative of c(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -d + 3, 2*d - 7 = -a - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/9 + 146*a**3\/9 - 310*a**2\/3 + 1414*a\/9 - 632\/9 = 0. Calculate a.\nAnswer: -79, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**4\/24 - t**3\/6 - 2*t**2. Let k be z(3). Calculate the highest common factor of k and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*v + 54, -v = -5*d + v - 90. What is the smallest common multiple of 4 and ((-6)\/d)\/((-1)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1042.\nAnswer: -1\/1042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-10))\/((k\/(k*k\/(k\/(k\/(k**(-13)*k)))))\/k)*k**12*((k**(-6)\/k*k)\/k*k)\/k)**(7\/6) assuming k is positive.\nAnswer: k**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/24 and 70\/(-150)*(-2 - -3)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (7 + (11 - 21))) + -18 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 8 = 4. Let t be 35*((-16)\/20)\/v. Suppose 0*i - l - t = -5*i, -5*i = -4*l - 11. Solve -x - 12 = 2*n + 4*x, i*n - 28 = 4*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-66)\/(-495)*(105 - 0). Determine v so that 22\/5*v**2 + 10 + w*v + 2\/5*v**3 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 784 and 32.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -8 - 11 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 0 + 0*p**2 + p + 1\/3*p**3. Let y(t) = t. Calculate l(y(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37894 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44649, -177507, -398935, -708933, -1107501, -1594639, -2170347?\n\"Answer: -44285*m**2 - 3*m - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*341\/(-1023)*2\/3.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*o - 8256 = 43*o. Calculate the remainder when o is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, -73, -204, -391, -634?\n\"Answer: -28*r**2 + 9*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1210 and 26209205?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 3694675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 312768 (base 9) in base 10?\nAnswer: 185795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 11:08 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let t = -0.61686 + -0.38314. What is the biggest value in 3, t, u, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n**3 + 5*n**2 - 9*n. Let k(c) = 16*c**3 + 7*c**2 - 13*c. Let h = 8 - 1. Let v(x) = h*s(x) - 5*k(x). Find the second derivative of v(i) wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from {x: 1, l: 1, m: 1, q: 4, n: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 7 - 2 + (14 + 27 + 2)*(-2 + 2 + 1) - 2 + 1 - 2)*(0 + 0 + t) + 0*t + 2*t + t in the form l + i*t and give i.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40132 - 3130295\/78. Let h(x) be the second derivative of 6\/13*x**2 + 2*x - 15 - 7\/39*x**3 + p*x**4. Find d, given that h(d) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(384)*3)\/sqrt(12)*-6)**2.\nAnswer: -51840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3255 + -4825. Let q = -1570.000006445 - r. What is q rounded to 7 dps?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10222201020111 + 21220?\nAnswer: -10222200221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x = 0. Suppose 2*g - 27 = 3*j, 5*g - g - 3*j - 45 = x. Let t = g + -7. Put t, 0, -3 in ascending order.\nAnswer: -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-14 - (-11 - 6 - -3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23065609528 take away 0.5?\nAnswer: -23065609528.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*y = 15 + 10, c - 3*y = 7. Let j be c\/(-3) + 5348\/(-21). Let l = -473 - j. What is l rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/(-33)*29\/(406\/49)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29940619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3188890847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-775*f - 634*f + 2072*f)*(3*f**2 + 2*f**2 - f**2) + f**3 - 4*f**3 + 0*f**3 in the form d*f**2 + i*f**3 + r*f + p and give i.\nAnswer: 2649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4012.002127 - -4032.0021. Let r = -19.73 - 0.27. Let w = a + r. Round w to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704*u + 707*u - 126 = -5*q, 16*u - 14*u - 183 = -7*q for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r**3 + 2*r**2 + 4*r - 2. Let n(j) = -3*j**2 + 9*j**2 - 22*j**2 + j - 1 + 9*j**2 - j**3 + 8*j**2. Determine 2*n(c) - o(c).\nAnswer: 4*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*((s*s**(-2\/35))\/s*s)\/s*s)**(2\/67)*s**(-30)*s**(3\/23) assuming s is positive.\nAnswer: s**(-1607887\/53935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -287237718 by 1107.\nAnswer: -259474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1283 - 1283.597. Round o to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a microsecond in nanoseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 8*t**2 - 11*t - 3. Let i be s(-10). Is i\/(-2)*8\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.3 (b) 6\/7 (c) 0.5 (d) 2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/45)\/(4\/18). Suppose 3*d = 2*q - 10, 0 = 4*q - d + 6*d + 2. Let i be 0 + q + (-45)\/20. Which is the closest to i? (a) -0.04 (b) 0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6819, -207, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**7\/420 - t**5\/60 - t**3\/3 + t**2. Let z(l) be the first derivative of f(l). Let z(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = -9*l + 110. What is the nearest to -0.1 in l, -5, 2\/9, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*c**5 + 79*c**3 - 4*c**2 - 1281?\nAnswer: 4680*c**2 + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 1 - 17 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*x - 22*x + 21. Let i = x - 19. What is the remainder when 3 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -354, -3, 1, -2, -28 in descending order.\nAnswer: 1, -2, -3, -28, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10110111110101000011100 (base 2) to base 11\nAnswer: -3444779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2 = -v, 0 = -11*v + 12*v + 5*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18439612?\nAnswer: 2, 83, 55541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(2 + 2)*(-1345)\/(-5). Let u = k + -1341\/5. Solve -u*y + 0 - 4\/5*y**2 = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9759 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 620*c**2 - 268*c**2 + 139*c**2 + 1389*c**2.\nAnswer: 1880*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Let g = 0.056 + -0.036. Which is the closest to -1\/2? (a) g (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(((-42)\/(-4))\/7). Suppose -i = -v + 3. What is the third derivative of -6*h**2 - v*h**6 - 3*h**6 + 4*h**6 + 0*h**6 wrt h?\nAnswer: -720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 10*g**2 - 7*g + 12. Let y be w(9). What is the least common multiple of 8 and (6\/(-5))\/((-12)\/y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-288))\/((-2)\/30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 7*b - 64. Suppose 2*w - b*q - 2776 - 4596 = 0, -4*q - 7362 = -2*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2675 < -2660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*16*(-6)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**4\/7 + 30092*z**3\/7 + 3465060*z**2\/7 - 1002916*z + 503608 = 0.\nAnswer: -7406, -119, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:36 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45791.\nAnswer: 29, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -734817358 >= -734817359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1790.483*0.4.\nAnswer: -716.1932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 260\/15*(-6 - 0)*-1. Suppose 32 = -r + x. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (807\/(-538))\/((-1)\/6134)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -177 - -48676\/275. Let w = -9353\/825 + f. Calculate the common denominator of w and (38\/6)\/(4\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2413 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -33.22*-10.305\nAnswer: 342.3321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - r. Let p(a) = 36*a**3 + 9*a**2 - 39*a - 6. Let b(v) = -v**3 + 5*v + 1. Let n(k) = 6*b(k) + p(k). Determine -9*j(g) + n(g).\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -89*i + 2. Suppose -11*y = 17 - 6. What is the units digit of k(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) 1\/1665 (c) 4 (d) 18 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m + 10. Let s(t) = 4*t - 5. Let g(o) = 6*h(o) + 13*s(o). Let w be g(-7). Solve -3*v + 0*v + w = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - 7*r + 3*r + 0*r**2 + 81*r**4 - 67*r**4 + 3*r + 52 to the form b*r**3 + g*r + m*r**4 + z*r**2 + j and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (50 - 82) - (1 + 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 + 2*a**3 + 5*a**3 + 1 - a**3 - 1 + (-3*a - 2*a**2 + 3*a)*(2*a - 4*a + a) - 2*a**3 - a**3 + a**3 - 1 - 3*a**3 + 1.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {x: 5, k: 3, c: 5, d: 3, r: 2}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*o - 14 = 1, 0 = 4*o + 4. Let l be (-2)\/(-1) - q\/(-8). Which is the closest to 0? (a) 4 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102022211120212011 + -2?\nAnswer: -102022211120212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpzsppasqdszzspqppsp. Give prob of sequence sspz.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - r + 4. Let x be d(-3). Let i be (-1)\/(1\/x - 0). Find the third derivative of -b**4 - 2*b**2 + 2*b**i - 3*b**2 wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1627008 divided by 57.\nAnswer: 28544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 14*k**2 + 66*k - 22. Let i be n(-5). Put 196, -1, i, 5 in increasing order.\nAnswer: i, -1, 5, 196","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -1\/3 (c) -8 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1982.799 - 1982. Let l = 7.2 - 8. Let b = o + l. What is b rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from gyoyyyyyllmo?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z + 6. Let y be i(2). Is y less than or equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/18 - (-124)\/8. Let k(o) = -31*o - 42*o + v*o - 9. What is the hundreds digit of k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b**(-2)*b))*b)\/b)**(-6\/5)*(b**(-2\/3))**(-28))**(-43\/3) assuming b is positive.\nAnswer: b**(-12814\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 665694 and 150?\nAnswer: 16642350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.3285 tonnes in milligrams?\nAnswer: 50328500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25363010839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 1457762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24.316016 and -9.\nAnswer: -218.844144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86 and 516.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -216*c. Let v(a) be the first derivative of -7*a**2\/2 + 126. Calculate 2*t(b) - 63*v(b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y - 6. Let z be d(-6). Suppose 0 = i - 3*x - 42, i + 0*x - 28 = -4*x. What is the greatest common divisor of i and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {q: 1, k: 2, y: 1, o: 1, z: 2, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/27)\/((-928)\/(-8352)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 614192500 to the nearest 100000.\nAnswer: 614200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -o + 6, -2*o = -3*o + 2*p + 1. Suppose 0*c = 2*c. Solve c*g = o*g - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g + 7. Let y be t(-5). Let f(r) be the third derivative of -r**4\/8 - 14*r**3\/3 + r**2 - 62*r. What is the smallest common multiple of 5 and f(y)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16533465 and 780?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.021, 1493?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-6)*(-2 - 2). Suppose i - 120 = -o*i. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2350\/470 - (-5 + (-4 + 2)*-1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 7*b**2 - 14*b - 50. Let a be t(-8). Let y(z) = 5*z**2 + 57*z + 90. Let h(w) = -20*w**2 - 234*w - 360. Let r(g) = a*h(g) - 9*y(g). Factor r(q).\nAnswer: -5*(q + 3)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.15, 3.2, -0.5, -1.3, 0.3, -1, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*a - 5635 = 0, -6*y - 2245 = -8*y + a. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.089 + -0.389. What is the second smallest value in 0.1, 0.4, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -251076*g**4*y - 6*g**4 - 19*g**3*y + 10*g**2*y - 45*g*y + 10*g + 340*y wrt g?\nAnswer: -6025824*g*y - 144*g - 114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10054 and 19096.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0*m**6 + 0*m**3 + 0 + 1\/15*m**5 - 11\/210*m**7 + 0*m**4 + 0*m - 11*m**2. Find the third derivative of q(p) wrt p.\nAnswer: -264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67793 divided by 92?\nAnswer: 67793\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**3 - 5*i**2 + 3*i - 3. Let p(f) = 9*f**3 + 15*f**2 - 8*f + 8. Calculate -3*p(b) - 8*z(b).\nAnswer: -3*b**3 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71\/1491)\/((-1)\/(-18)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2862 and 1674.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 13*j - 11. Is x(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -40*f**2. Let j(y) be the third derivative of -y**5\/60 - 127*y**4\/24 - 379*y**2 - 3*y. Calculate j(m(x)).\nAnswer: -1600*x**4 + 5080*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 1. Let z = -19 - p. Let g be (-1)\/z*4\/3. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1290808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0, -6, -27, 1.\nAnswer: -27, -6, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 8, 4, 0.06, 4\/47?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 24*m**3 + 48 + 29 - 5 - 56*m**3 + 31*m**3 as j*m**2 + p*m + y*m**3 + v and give v.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*l**4 - 1599*l - 14587?\nAnswer: -24*l**3 - 1599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (16 - 5)) + 8 - (-10 + 4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*b**2*l**2 - 4*b**2 - 25*b wrt l.\nAnswer: 56*b**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 879*i + 11456*i + 877*i - 13211*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1086 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -11210 to the nearest 100.\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 10. Suppose -4*a + 2*a - 36 = 4*r, -3*r - a = 26. Calculate u(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -471 - -346. Is -129 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.056 in 0.01, 11, 388\/29?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 7*n - 1. Sort -1, n, 2 in decreasing order.\nAnswer: 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -20*o**2 - 10. Let b(x) = 7*x**2 + 3. Determine -20*b(v) - 6*z(v).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -1\/5 (c) -534 (d) -683\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 8. Suppose -5*b - 14 = 1, -u + 25 = -5*b. Let w be p(u). Suppose w*y + 408 = 8*y. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (585\/(-30)*(-3)\/(-27))\/((-8)\/48)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12334 + 23241?\nAnswer: 10402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -119, -122, -125, -128, -131?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 29*u**2 - 9705*u - 315904. Determine d(-33).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17489 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: Is 11341961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v**2 + 5. Let u be a(0). Let j be (0 + 0)\/(1 - 2). Suppose -5*s = m - 4 + u, j = s + 5*m + 5. Solve s = 5*y - y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 4, d: 9, r: 2, w: 1, c: 2, g: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 10*l + 396. What is k(-39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34092.\nAnswer: 2, 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12809, 25600, 38391, 51182?\n\"Answer: 12791*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjuj when four letters picked without replacement from rrrgjrjjrjqrquj.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5636195500 rounded to the nearest 1000000?\nAnswer: 5636000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/304 and -75\/428.\nAnswer: 32528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-9)\/8)*-6. Let g = 67 + -67. What is the nearest to 3 in -5\/6, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0, 0.2, 0.4, -1.5, 55707?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*b - 1 - 4 + 11 - 42*b to y*b + a and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516584500*d - 3 - 516584502*d + 2.\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 538148 and 221.\nAnswer: 9148516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f**2 - 5*f**2 + 12*f**2)*(11 - f**3 + 13*f**3 - 5*f - 11*f**3).\nAnswer: 17*f**5 - 85*f**3 + 187*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.02, 1, 8618, -62?\nAnswer: 8618","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-1))\/12)\/((-7)\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39, -1185, -4121, -9687, -18723, -32069, -50565?\n\"Answer: -140*y**3 - 55*y**2 - y + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(7) + -2)*5 - sqrt(126)\/sqrt(2).\nAnswer: -10 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 192*n + 14926. Determine g(-78).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*n - 2*y + 9, 20 = -4*n + 4*y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3)\/t)**(1\/29)*(t\/(t**(-9)\/t))\/(t*t**(-1\/2)))**35 assuming t is positive.\nAnswer: t**(63595\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -3527?\nAnswer: -3525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0038504 and 0.138.\nAnswer: 0.1341496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 = -h, -4*f = 2*h + 2*h + 16. Let t be (-988)\/(-475) + 4\/(-50). Solve 5 = t*g - f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*5\/135 + 42\/27. Let y(r) be the first derivative of 0*r**4 - 3*r + 0*r**3 + 7 + 0*r**f - 3\/5*r**5. What is the first derivative of y(s) wrt s?\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92514.259125 - -194703.259. Let j = -102206 + i. Let c = j - -17. What is c rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -575.4493 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/11 (b) 6\/775 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68531\/10 - -6846. Calculate the common denominator of p and 87\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*s = -24, 0*s + 3*s = -5*x. Let f be 791\/(-1017) + x + 1. Which is smaller: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 4*q - 5*h, -145*q + 64 = -150*q - h. Put q, 3, 1 in decreasing order.\nAnswer: 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x**2 + 7*x**2 - 2*x + 2 + 0*x. Let z(h) = h**2 - h + 1. Determine -a(l) + 2*z(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55303*j + 22948.\nAnswer: -55303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10582 or -10583?\nAnswer: -10582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 70*f**2 - 442*f + 539. What is the derivative of j(g) wrt g?\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(96) - sqrt(96)*1))\/sqrt(12))\/(sqrt(64)*-1*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 971, -0.2, 6.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69345949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -122496.725 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -79, -105, -141, -187, -243?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.7 + 5. Do q and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22222 (base 3) to base 12.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -141*n**3 - 2*n - 1. Let x be t(-1). Suppose -4*f + x = -2*f. Let d = f + 6. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7524*n - 554933 = -50825 for n.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l. Let i(w) = 2024598*w - 2. What is i(u(t))?\nAnswer: 16196784*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/(-16)*1\/3. Let w be ((0 - g)*(-3 - -3))\/(-2). Solve 0*m + o = 4*m + 11, w = 5*m + o + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/108965 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/20 - 1\/(-4). Solve f = 3*w - 6*w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5.4, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-232)\/(-160))\/(8\/96))\/(39\/65)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzm when three letters picked without replacement from fzfmfkzfzzzfffkfzfzz.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -190, -1439, -4824, -11413, -22274, -38475, -61084?\n\"Answer: -178*f**3 - 3*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = b, 0 = -b + 2*v - 3*v. Let s(r) be the third derivative of 1\/80*r**5 + r**2 + 1\/24*r**3 + b*r + 1\/480*r**6 + 1\/32*r**4 + 0. Factor s(g).\nAnswer: (g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284429739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.655777 minutes in weeks?\nAnswer: 0.00532299375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-56)*2)\/(68\/(-238)*1\/(-9))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 99*a**4\/4 - 141*a - 74. What is the first derivative of x(q) wrt q?\nAnswer: 297*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-23928)\/(-8) + (-6)\/(-4) + (-63)\/(-14)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/3 + 452*u\/3 + 446 = 0. What is u?\nAnswer: -223, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 1 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - 8\/4) + (-2544)\/(-3) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-3))\/(-32)*96863. Let g = 6051 - r. Let z = -14297\/4 + 3554. Find the common denominator of g and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - 2*s**3 + 2*s**3)*(-3*s + 0 + 0) + 3*s**5 - s**5 - s**5 - s**5 + 0*s**5 - s**5.\nAnswer: -7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22135*i**3 - 12651*i**3 - 7595*i**3.\nAnswer: -42381*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t - 8. Let n(m) = -9*m + 20. Let v(w) = -10*w + 19. Let s(z) = 3*n(z) - 4*v(z). Let o(y) = 5*f(y) - 2*s(y). What is the derivative of o(a) wrt a?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -312323951 >= -312323949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -165*m**2 - 3*m + 4. Let j(k) = -3*k**2 - 4*k. Calculate -j(n) + w(n).\nAnswer: -162*n**2 + n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*i - 2*i**2 - 298*i**3 + 18*i + 25*i + 17*i in the form o*i + q*i**2 + d*i**3 + b and give d.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/11 and -71\/434.\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 - -2002201001200?\nAnswer: 2002201000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 23 = -69. Is (-1)\/((-1)\/(-3)) - y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, p: 7, t: 4, v: 2, x: 1}. What is prob of sequence pt?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 16*c + 5. Let b(v) = 146*v + 8. Let t(m) = -18*m - 1. Let p(q) = b(q) + 8*t(q). Give p(o(i)).\nAnswer: 32*i + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 92*q + 68. Let o(h) = -4*h - 3. Determine 136*o(t) + 6*w(t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2414.506m to micrometers.\nAnswer: 2414506000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**2 + 2*y - 1. Let c(g) = -12*g**2 - 5*g + 2. Let o = 995 + -1000. Give o*p(m) - 2*c(m).\nAnswer: -6*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 5:54 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 25, -1\/4, 4, -5, 2\/17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Let k be 42\/4*((-8)\/12 - -4). Suppose g*b - k = -3. What is the highest common factor of b and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**5\/20 + o**4\/4 + o**3\/2 + o**2 - 4*o. Suppose 16*t - 61*t + 135 = 0. Does 5 divide z(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81766 + 125913 = 4166*q - 33663 - 100270 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1409440 and 4590800?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86.1 - 55.1. Which is the nearest to -1\/4? (a) -1\/11 (b) -2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2179857 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Suppose -b*m + 2 = -2. What is the third derivative of -x - 4*x + 3*x**2 + 5*x - m*x**3 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z. Let n = 17 - 15. Let w(d) = 30 - 30 - 7*d**n. What is l(w(y))?\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*u = -587, 3*v + 2891 = -2*v + 4*u. Let b = v - -3431\/6. Find the common denominator of b and 47\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 z when three letters picked without replacement from {z: 2, o: 10}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/359128 and -95\/742.\nAnswer: 359128","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 26179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*c + 43*c + 89*c - 229*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.051695263 and -0.3.\nAnswer: -0.0155085789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15974034811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1008)\/((-10728)\/(-149)))\/((-147)\/90).\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 + (-47528)\/2080)*(-5)\/18?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 9:52 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -5\/2*h**2 + 1\/2*h**5 - 9\/4*h**4 - 11\/2*h**3 + 0*h + 13. Factor q(j).\nAnswer: j*(j - 5)*(j + 1)*(5*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 5*k - 1. Let g be v(6). Suppose 0*o + 5*h - 27 = -o, 4*o + 5*h - 33 = 0. Let i be 2\/(1\/(1\/(-1))). Put i, g, o in increasing order.\nAnswer: i, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a - 197*a - 243 = 0. Let r(t) = 3*t**3 + 4*t**2 + 2*t - 1. What is r(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/253196 and 49\/32?\nAnswer: 2025568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002129084 to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 6:59 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2. Let b(k) = 68575041*k. Calculate d(b(q)).\nAnswer: -4702536248151681*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11) - (-2*sqrt(88))\/sqrt(8)) + (sqrt(1100) + (sqrt(1100) - sqrt(1100)*2))**2.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*-12*(-10)\/(-35).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*i + 5)*((-2*i - 2*i + 3*i)*(3 - 2 - 3) - 7 - 9*i + 7)*((-5*i + 1 - 1)*(4 + 0 - 3) + 2 - 2 + 2*i).\nAnswer: -42*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yosy when four letters picked without replacement from {o: 1, y: 2, s: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 34. Let h(x) = -5*x**3 + 30*x**2 - 64*x + 36. Let a(s) = -s - 1. Let b(m) = d*h(m) + 4*a(m). Solve b(j) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -19184 = -19186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -183213675 divided by -3592425?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/15)\/((-1)\/5). Suppose -t + 0 = -a. Suppose -t*k = -4*h - 0*h - 106, 5*h = 4*k - 142. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 557970721 - 378633721. Round s to the nearest 1000000.\nAnswer: 179000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200152*f**3 + 118905*f**3 - 2*f**2 + 2*f**2.\nAnswer: 319057*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 120 = -140. Put n, 4, -5, -3 in ascending order.\nAnswer: -5, -3, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**13*y\/(y**1\/y*y) assuming y is positive.\nAnswer: y**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52 + (-3 + 19)\/(-4). Calculate the greatest common divisor of 72 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -10?\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/3288205 and 129\/11590.\nAnswer: 124951790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Let n(u) = u**3 + 7*u**2 - 8*u - 8. Let c be n(-7). Let g be 1\/(-5) - c\/10. Sort g, 3, x in descending order.\nAnswer: 3, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1190, 3, 165.\nAnswer: -1190, 3, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*d*w**3 - 2*d*w**2 + 793512*d + 4860*w wrt w?\nAnswer: -87*d*w**2 - 4*d*w + 4860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30044 is divided by 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -9 (c) 3 (d) -8 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -762, -769, -776, -783, -790, -797?\n\"Answer: -7*v - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*k - 41. Suppose -3*l + m + 203 = 0, 2*l - 32 - 99 = k*m. Is 34 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (-1)\/(-1) - 2. Let n be -2 + j\/(-3) - -6. Calculate the remainder when (-38)\/(-6) - 2\/n is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 521 (base 11) to base 13\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 104. Determine m(-32).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h - 18 = -32*h - 2*x, -3*h - 2*x + 10*x = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/7 + (-120)\/(-42). List the prime factors of (280\/(-21))\/(k\/(-9)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 59 = -4*q, 1067*j - 3*q - 1 - 36 = 1062*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -249470*a**3 + 5*a - 2250398?\nAnswer: -748410*a**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 6*a**2 + 37806975*a - 18903489 = 0.\nAnswer: -6301163, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102712, -105768, -110862, -117994, -127164?\nAnswer: -138372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*v = 4, 5*j = -0*j + 3*v - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -312, -301, -278, -237, -172, -77, 54, 227?\n\"Answer: n**3 + 4*n - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2734 and -845 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11953 + 11953 - 131*j + (1 - 4 + 4)*(7*j - 2*j - 3*j) to y*j + n and give y.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -271 + 267. What is the closest to -1 in -2\/9, 1.1, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -28. Let k = -10 + s. Let c = k - 3. Sort c, -5, 4 in increasing order.\nAnswer: -5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + -1*sqrt(125) + sqrt(125) + 5 + (-3*(-1 + sqrt(125)) - sqrt(125)))*6)**2.\nAnswer: -8640*sqrt(5) + 42804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6766, 13496, 20184, 26818, 33386, 39876, 46276, 52574?\nAnswer: 58758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1533759, 3067621, 4601483, 6135345?\nAnswer: 7669207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 0, -5*u + 3*u - f - 1600000 = 0. Round u to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -492 by 123.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 8, -4, 22 in decreasing order.\nAnswer: 22, 9, 8, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 21*p**5 - 6*p**2 + 67*p. Let d(r) = 86*r**5 - 26*r**2 + 268*r. Let z(m) = 6*d(m) - 26*l(m). Find the second derivative of z(f) wrt f.\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -506 - -515. Let s(u) = -13*u**3 + 2*u**2 - 2*u + 2. Let a be s(2). What is the remainder when (-1)\/2*(a + -2) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 392*o + 396.\nAnswer: -4*(o - 1)*(o + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -154744 divided by -14?\nAnswer: 77372\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 + -111. Let l(r) = 85*r + 14. What are the prime factors of l(z)?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5683 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -532 + -45984\nAnswer: -46516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(70)*1)\/(sqrt(810) - (sqrt(810)*-2 + sqrt(810))) + (sqrt(7) + sqrt(252) + 2 - 4*-2*sqrt(7)))**2.\nAnswer: 538*sqrt(7)\/9 + 507823\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (110 - (51 + 63)) + 2 + -33?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-61)\/549*-9)\/((-68)\/24)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 16*f - 1615. Let y be o(33). Let v(h) = 28*h - 1. What is v(y)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 104, 206, 348, 530?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -283 + 18*o**2 - 349*o - 10*o**2 - 243*o. Let v(t) = 8*t**2 - 588*t - 284. Let p(x) = 4*k(x) - 5*v(x). Suppose p(n) = 0. Calculate n.\nAnswer: -1\/2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 49\/((2 + -5)\/(-3) - 0). Calculate the greatest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.46 - -3.54. Sort -3\/5, 1\/6, -0.24, r.\nAnswer: -3\/5, -0.24, 1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**2 - 8*t + 4. Let y(j) = 25*j**2 - 24*j + 13. Let p(w) = 11*u(w) - 4*y(w). Suppose -140 = 5*x - 175. Give p(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*v**5 - 7594*v**4 + 12874*v**3 - 5318*v**2 - 550*v = 0.\nAnswer: -25\/294, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s + 5*l + 22, 4*s - 3*l = 30. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2. Let r be 4\/5*(-25)\/(-10). Let q(v) = 7*v**2 + 0*v**r - 3*v**2. Determine q(h(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = 2*q, 4 = -t - 3*q + 1. Suppose 4*z - 3*w - 35 - 42 = 0, -w = 3. Solve -12*x + z*x = t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/142 and (-2706)\/4260 - 8\/(-16).\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1406\/703)\/(9\/(7029\/(-22)))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21024 + -45321?\nAnswer: -24253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11*b**4 - 2*b**3 - 2*b**2 + 16. Let h(q) = 44*q**4 - 9*q**3 - 9*q**2 + 64. Let z(v) = -2*h(v) + 9*y(v). What is the derivative of z(m) wrt m?\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 - 2*v**2 + 2*v - 3. Let u(c) = 3*c + 25. Let l be u(-8). Let x(b) = b**3 + b**2 - b + 1. Calculate l*a(d) + 2*x(d).\nAnswer: -2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8587477, -68699525, -231860795, -549595897, -1073429441, -1854886037, -2945490295?\nAnswer: -4396766825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000266807 rounded to 7 decimal places?\nAnswer: 0.0000267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*l - 21, -5*g + 2*l - l = 31. Suppose -9*o = -7*o + 236. What is the units digit of o\/(-6) - (-4)\/g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*s**4 - 3*s**3 - 141*s**2 + 353*s + 47521263.\nAnswer: 20*s**3 - 9*s**2 - 282*s + 353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 92*b**3 + 3*b**2 + 916*b - 914. Determine v(1).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10041, 10605, 11543, 12855, 14541, 16601, 19035?\n\"Answer: 187*c**2 + 3*c + 9851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110100 + 1?\nAnswer: -1001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5096029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -17*p + 162. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*((-10)\/(-15) - (-310)\/(-60)). Let i be -10 + 252\/x + 100\/96. Let l = 2.2 - 2. Which is the fourth biggest value? (a) i (b) 1\/7 (c) -1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 76*a**2 + 2016*a + 140547. What is r(-79)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3662 by 35980.\nAnswer: -1831\/17990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 + (-18 - (6 - (30 + 6 + -13))).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-2 + (-3)\/3). Suppose 5*n + 35 = 5*t, -5*t + 3 = h*n - 2. Find the second derivative of -t*z + z + z - z**4 wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 358?\nAnswer: 3\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 25, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 775\nAnswer: -3\/775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 26*s**4\/5 + 2118*s**3\/5 + 5106*s**2\/5 + 3962*s\/5 + 948\/5 = 0.\nAnswer: -79, -1, -6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -1148, -2096, -3412, -5090, -7124, -9508?\nAnswer: -12236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301908 divided by 66.\nAnswer: 50318\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -80, -650, -2228, -5330, -10472, -18170, -28940, -43298?\n\"Answer: -86*b**3 + 12*b**2 - 4*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 11) to base 15.\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 greater than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from nnmnnnnnoonmnmn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8693, -17388, -26083, -34778, -43473?\n\"Answer: -8695*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 44, -0.4 in ascending order.\nAnswer: -9, -0.4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -20*z + 1. Let p be 38\/10 + (4\/(-5))\/(-4). Let a be 1 - 1 - (-3)\/((-6)\/p). What is the tens digit of s(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/84981 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52472, 104944, 157416, 209888, 262360?\nAnswer: 314832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291143191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-228)\/(-171))\/(2*(-2)\/21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -103746 plus 0.051?\nAnswer: -103745.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83349 and 1574883.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42565 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -4. Let i be (15\/(-85))\/((-3)\/(-2)). What is the third smallest value in v, 3\/8, i?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - s**2 + 0*s)*(118*s**2 - 4*s**2 - 57*s**2) + 4*s - 4*s + s**4 as q + n*s**3 + d*s**2 + z*s**4 + o*s and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.162.\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2595 = -5*f + 3611, -1238 = -f + q. Calculate the greatest common divisor of f and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 5 = 4*h, -h + 3*m + 3 - 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*q**5 + 5269*q**4 - q**3 - 864468*q**2.\nAnswer: 1080*q**2 + 126456*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) 0.1 (c) -1344 (d) 0.021 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-4)\/16*(4 + -9866) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*x + 5507 = -364*x - 3367 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 - 50379*g + 25246*g + 25133*g.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1892144 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -11*a + 12. Let l be p(-4). Suppose b = 4 + l. Is 41 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 - -42. Let j(u) = 6*u**2 - 3*u + 2. Let t be j(3). Suppose n + k - 12 = -t, 2*n + 5*k + 55 = 0. Which is bigger: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6 - 6 + 388*k**2 - 632*k**4 + 39743*k**3 - 39743*k**3 wrt k.\nAnswer: -15168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**3 - 7*t**2 + 6*t + 8. What are the prime factors of l(4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47*u**2 + 2*u + 63.\nAnswer: 94*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -130, 2 in ascending order.\nAnswer: -130, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.685 and -466.\nAnswer: -462.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 97*u + 5. What is the hundreds digit of d(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 16*y - 35. Let j be c(14). Let k(n) = -n**3 - 2*n**2 + 3*n. Is k(j) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.097 + 0.119. Is 0.1 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28040 = -23*v + 56209 + 111786. List the prime factors of v.\nAnswer: 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -598 = 34*u - 666. What is the remainder when 23 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342953?\nAnswer: 3, 49739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a century in months?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -41 (b) 0.028 (c) 2 (d) -0.3 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-14) - 33\/(-7). Suppose w - 1 - p = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 12 = -3*r, -6*r + 5*r + k - 4 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 581346 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2328)\/(-15)*-79*250\/(-20). Round g to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sofl when four letters picked without replacement from {d: 1, o: 2, y: 1, s: 1, f: 1, l: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24 - 80*y**3 + 201 + 76*y**3 + 9*y wrt y.\nAnswer: -12*y**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(-18))**(-9)\/(d**(-3)\/(d**(-5)*d*d))**(-1\/25) assuming d is positive.\nAnswer: d**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.7 + 10.3. Let h = d + -12.9999986. Round h to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -43656*k**2. Let h(p) = 4*p**2. Give h(i(j)).\nAnswer: 7623385344*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**6\/120 + y**5\/120 - y**4\/8 - 2*y**2. Let m(t) be the second derivative of d(t). Let k be m(3). Solve k = -5*n + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-35))\/((-1)\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -9)\/(-180)*15\/(-2).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13688294*p**2 - 20462051.\nAnswer: -27376588*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 160, -11 in ascending order.\nAnswer: -51, -11, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 60 = -5. Suppose 0 = 3*k - m + 10. Calculate the greatest common factor of 30 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-65)\/((-1 - (-12)\/9)*-1). Let u(b) = 20*b + 2. Let i be u(-6). Let r = s + i. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x - 5*o + 38 = 0, 4*x - o - 98 = 0. Calculate the remainder when 71 is divided by x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152755 is divided by 76332?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 e when four letters picked without replacement from eeeeeememm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k + 52 - 185. Suppose 2*d - 117 = -k. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 86*i - 86*i - 18*i**2. Let c(u) = 11*u**2. Let b(h) = 4*h**2 + 8*h**2 - 2*h**2 - 5*h**2. Let v(f) = 7*b(f) - 3*c(f). Give s(v(x)).\nAnswer: -72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36.93 - -37.93. What is the fourth smallest value in 2\/37, -0.5, -5, 6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**2 + 48*k - 459. Give s(16).\nAnswer: 1589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222 divided by -437.\nAnswer: 222\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476 = 1343*r - 1309*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*v + 4 = -91*v + 44*v + 2*q, 4*v = q - 0 + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:02 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujuj. Give prob of sequence uuj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 185093, 185091, 185089?\n\"Answer: -2*q + 185095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(288) - (sqrt(288) + sqrt(288)*-1 + sqrt(288) + sqrt(288))) + sqrt(288)))\/(sqrt(144) - -4*sqrt(144)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 9*l - 92. Let b = -268 - -473. Suppose 2*v = -5*d + b, -d - d = -v - 91. Calculate the remainder when d is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (28 + -21 - 9)) + 63\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 24, 32, 40, 48?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33670\/610050 + 2\/(-105).\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235 (base 6) to base 14.\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -47*x**2 + 12*x + 27. Give p(5).\nAnswer: -1088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/11, 3, 0.2, 0?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36640310 rounded to the nearest one million?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2736) + -2 + -4*sqrt(2736))*6.\nAnswer: -216*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 162414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -180956*x**3 - 895104*x**2 + 2515088*x - 2112 = 0?\nAnswer: -132\/19, 2\/2381, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 78 = l + 2*w, -5*l - 392 = 4*w. Let s = -55 - l. Solve h + 4*h = s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 17 - 18 - 21*x - 25 + 119.\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/4 and 53\/156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-5))\/g*g)\/g*g**(-2\/9))**(-38)*((g**(2\/5)\/g)\/g**(-5))**41 assuming g is positive.\nAnswer: g**(17048\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + 1 - 3 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3584167?\nAnswer: 571, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 2. Let w = 1.16 + -0.69. Let f = 0.4 - w. Which is the nearest to -1\/3? (a) f (b) o (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 551*g - 244*g - 3614*g**2 + 1204*g wrt g?\nAnswer: -7228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.038085 to 4 dps.\nAnswer: -0.0381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340 + 386*z - 203*z - 187*z - z**2.\nAnswer: -z**2 - 4*z + 340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i + 486 - 486. Let o(x) = -5*x**2 - 11. Determine s(o(d)).\nAnswer: 10*d**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.20853*-2286.\nAnswer: -476.69958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**3\/3 + 3*q**2\/2 + 2*q - 4. Let a be v(3). Solve 2*n**2 + 0 + 12*n - 4 - 7*n**a = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j = -2*u + 782, -5*j = -20. Suppose -u = -5*k + 2*n, 167 = 4*k - 2*n - 153. What is the remainder when k is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.979 + 1.979. What is the second smallest value in -2\/17, i, 16, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31.255*-0.24\nAnswer: 7.5012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 5:52 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12448524 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 440910 by 46.\nAnswer: 9585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195\/17 + 35719\/3111. Is i > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = d + 118, 0 = -4*d - 6 + 14. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, s: 1, v: 1, k: 1, q: 2, g: 1}. What is prob of picking 1 b and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1751*11\/(-1309) + -15\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3 = -3*t - 7 - 8, -12*c = 6*t + 30 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 4*o. Let r(a) = 2*a + o*a + 1 - 3. Let m = 217 + -213. Determine r(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5084960 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 275184.1 decades?\nAnswer: 2751841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, r: 8}. What is prob of sequence kkk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 - 1.87300907.\nAnswer: 0.82699093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -15, -26, -51, -96, -167?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -43*j - 37. Let t be r(-3). Let c be -48*((-98)\/8)\/(-7). Let l = c + t. Calculate the lowest common multiple of 14 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -2659478\nAnswer: 3\/1329739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59215 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 6. Suppose z*t = 1 + 3. Differentiate v**4 + 1 - 3*v**4 + t wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) 7.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -15. Is 11 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958.1159m to micrometers.\nAnswer: 958115900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 126 = 18*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**3 - 5*h**2 + 5*h. Let x be 2 + (0 - (0 - -7)). Let m(j) = -2*j**3 - 2*j**2 + 2*j. What is x*m(w) + 2*t(w)?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 - 266*s - 153. What is a(45)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 20\/(-90)*-9 - -527. Sort 1, -2, -3, i in descending order.\nAnswer: i, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 - 11*o**2 + 23*o**2 + (-4*o + 2*o + 3*o)*(0 + 4*o - 2*o - 2) + 16*o - 12*o**2 - 32*o + 19*o.\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -32705 + 8315 = -427*a - 115*a for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -2, 1987, -1, 2, -5.\nAnswer: -5, -2, -1, 0, 1, 2, 1987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 119574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((5 - 1) + 1)*2. Let g be (612\/(-45) + 12)*5\/(-2). Suppose 0 = 2*z - g*v + 4, 10*z - 14*z + 13 = -v. Solve -5*k + l = -15 - d, -3*k = -z*l - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k - 4*k + 4*k)*(-1 + 1 + 2*k) + 4*k**2 - 6*k**2 + k**2)*(2*k + 5*k**2 - 2*k).\nAnswer: -15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12953, 12952, 12951, 12950?\nAnswer: 12949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 14*p**2 + 9. Determine t(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 4 + 1 - 1 + 1. Let r be h(7). Suppose -2*d - 16 = -r. Are d and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*(-18)\/180*195.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289, 271, 257, 247, 241, 239, 241?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 70?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1882, -1076, 1\/8 in decreasing order.\nAnswer: 1882, 1\/8, -1076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 14*u - 18. Let v be p(-15). Let m(d) = -3*d**2 + 6*d - 10*d + d**2. What is m(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.74 rounded to zero decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 4*o + 31. Is h(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/2 + 4795737*q - 22999093373169\/2 = 0. What is q?\nAnswer: 4795737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.873 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*a**2 - 52\/7 + 22\/7*a.\nAnswer: 2*(a - 2)*(a + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*o**3 - 770*o**3 - 2315*o**3 + 477*o**3 - 597*o**3)*(-2 - 4*o + 4*o - 3*o**2).\nAnswer: 9447*o**5 + 6298*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f - 21. Determine m(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from ffmqfmffff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 5*p - 6. Calculate r(-7).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-6) - (-12)\/8. Let z = 6 - t. Differentiate 1 + 0 + 4*n**3 - z - 5 wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-14)\/6 + 3). Find the third derivative of 3*s**u - 3*s**3 + 2*s**3 + 5*s**2 wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 26*a**2 + a. Is u(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -73 + 357. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3.7, 65, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23557488*k**6 + 105952998*k**2?\nAnswer: 2826898560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 - 4.4. Which is the fourth biggest value? (a) 5 (b) 0 (c) -0.2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 811*x = 7*d + 807*x - 16, x + 4 = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15219593*w - 33915308 wrt w?\nAnswer: 15219593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 325 - -1ea5?\nAnswer: 22ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127107 is divided by 125137?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883501.5 hours to weeks.\nAnswer: 5258.9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.64, 1, -5.\nAnswer: -18.64, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -25. Let b = 64 - 48. Suppose -b = -8*o - 0. What is the greatest common divisor of f and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 0*u**2 - u**2 + u**2 - 5*u**2 + 2*u**2 - u**2 - 1 + 1 + (2*u + 3*u - 3*u)*(5*u - 2*u - u) - 2*u**2 + 0*u**2 + 4*u**2)*(2*u + 5 - 4 - 4*u).\nAnswer: -2*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 3*j**4 + j**4 + 5*j - 3*j**4 - 5*j + (3*j**2 - 5*j**2 + j**2)*(0*j**2 + 2*j**2 - 4*j**2) - 2*j**4 + 2 - 2 - j**4 - j**4 + 0*j**4.\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 60707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 84565?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 624900.3 days to nanoseconds.\nAnswer: 53991385920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 44, -23, 4, -226, -40 in decreasing order.\nAnswer: 44, 4, 3, -1, -23, -40, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -x + 2, 2*m = 2*x - 50 + 66 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 2. Let r(a) = 5*a**2 + 8. Let x(n) = -9*k(n) + 2*r(n). Suppose 0 = -4*o + 22 + 26. Calculate the remainder when o is divided by x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 5*d**2\/2 + 4*d + 15. Let k(s) = -s - 1. Let w(l) = -3*k(l) - u(l). Let z be w(-3). Solve -o = -z + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-1))\/((-156)\/(-52) - (-1 - 2)). What is k in -20\/7*k**4 - 32\/7*k**3 + y + 0*k - 12\/7*k**2 = 0?\nAnswer: -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 176*m - 3111. Calculate o(20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495 + 507 = -2*v + r, 4*v - 3*r = -26 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2 - 3*x - 2. Let g(q) = -q**2 - q - 1. Let r(y) = 4*g(y) - v(y). Factor r(n).\nAnswer: (n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -42*k**5 + 855*k**4 + 10329*k**3 + 5889*k**2 - 4239*k - 696 = 0.\nAnswer: -8, -1, -1\/7, 1\/2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 107079 != 8459129\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3883288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9292419, -18584814, -27877207, -37169598, -46461987?\n\"Answer: x**2 - 9292398*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-120))\/((-14)\/26285) - 3) + 6381\/(-17016)?\nAnswer: -104\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 70*z = 71*z + 11, -4*k - z = -21 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (9 + -2) - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164896*w**5 - 23*w - 2198?\nAnswer: -3297920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 11110000100?\nAnswer: -11110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21072669 is divided by 1824?\nAnswer: 1821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (24\/224*21\/(-14))\/(7\/(-56))\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 6:43 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 4 - -9) + -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*(-6)\/14)\/(-1). Let x = -356 + 2507\/7. Factor x*k + g*k**3 + 12\/7*k**2 + 6\/7.\nAnswer: 3*(k + 1)**2*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 112*o - 2. Let x be s(3). Sort x, -4, 4 in increasing order.\nAnswer: -4, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Let g be 29\/2 - f\/(-6). Is (-3)\/g + (-106)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 2:15 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f\/(f\/(f**0\/f))*f))**43\/(f**(-1\/2))**(-19)*f*f**(-2\/15)*(f\/(f\/f**(-5)))\/f*f*f**(-4)*f\/(f*f**(-5\/6)*f*f) assuming f is positive.\nAnswer: f**(551\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 + 36*z + 31. Let b be n(-18). List the prime factors of (-21)\/(-189) + 4*b\/18.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ziz when three letters picked without replacement from {o: 2, i: 10, y: 6, z: 2}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31212102 + 101?\nAnswer: -31212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -202*f**2. Let r(c) = 19*c - 12. Let x(j) = 6*j - 17. Let t(a) = -a + 5. Let h(q) = -3*t(q) - x(q). Let d(i) = 6*h(i) + r(i). Determine o(d(l)).\nAnswer: -202*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from {h: 1, z: 3, v: 1, y: 1, t: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387552721.\nAnswer: 179, 383, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, q: 1}. What is prob of sequence iqi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 219*a - 5601. Determine z(40).\nAnswer: 3159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 - -0.5. Let t = j + -4. Let o = t + -0.3. Round o to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 4)*(5*w - 5*w - 2*w) + (2 - w - 2)*(-2 - 4 + 4 - 5 + 3 + 0 + (-1 - 2 + 2)*(-2 + 4 - 4)) to the form m + d*w and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.000054 + -37. What is k rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(325) + -2*(3 + sqrt(325)))*3)**2)*-4.\nAnswer: -12976 - 2160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 542*c*j - 4*c + 215148*j - 49505239 wrt j.\nAnswer: 542*c + 215148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**23*l)\/l)\/(l**16*l))\/(l**(-19)\/l**27) assuming l is positive.\nAnswer: l**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1452 + 794 = 4*k, 0 = -4*r - 5*k - 8879. What is the hundreds digit of (r\/(-2))\/((-45)\/(-30))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49.7 and -9.\nAnswer: 447.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105654 by 8.\nAnswer: 52827\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -77, -79?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 + 37 - 4*n**3 + 30 + 2*n - 5*n + 2*n**4 as k*n**3 + z*n**2 + l + o*n + u*n**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -27032642 (base 8) to base 15\nAnswer: -7e57e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1133?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113010, -113035, -113070, -113121, -113194, -113295?\nAnswer: -113430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/25*5)\/((3\/(-3))\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*6\/4*(-2)\/3. Solve 12 = g*v + v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3775 by -755.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/236 - 275\/708. Let f = 16.1 + -2.1. Suppose -21 - 14 = 5*h - 3*r, -r + 1 = h. What is the second biggest value in s, h, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18176.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 42 = 5*d. Let t be d + 3 + (8 - -2). What is the greatest common factor of t and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17456\/61019 or 1?\nAnswer: 17456\/61019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38634 + -38634. Let w be ((-50)\/(-20))\/((-3)\/2). What is the third biggest value in -1\/2, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfuasiasss. What is prob of picking 1 f and 1 u?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b\/b**7)*b**(-2\/7)*b\/b**6*(b\/(b**(1\/4)*b))\/b*b assuming b is positive.\nAnswer: b**(13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247 or -126?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from tttttttttttzlz?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 13*d - 5. Let z(m) = -14*m**2 + 22*m + 3. Let a = 272 + -270. Let f be z(a). Give w(f).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1\/237179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -1\/1468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0*y - 5*y)*(2*y**3 - 2*y**3 - 3*y**3) + y**4 + 3*y**4 - 3*y**4.\nAnswer: 10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**2 + 7274*y + 7278. Calculate r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**4\/8 + l**3 - 9*l**2\/4 - 16*l. Determine z so that g(z) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**17\/((k*(k**(-24)*k)\/k)\/k))**(-3\/7) assuming k is positive.\nAnswer: k**(-123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9.43 * -0.1\nAnswer: 0.943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133\/(-532) - ((-6)\/3)\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29167189 to 4 decimal places.\nAnswer: 0.2917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 3*n + 2*n. Let m be (84\/8 + -1)*4. Suppose -m + 20 = -2*a. What is the greatest common factor of a and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/40 - 4*o**2. Find q, given that f(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/15)*l)\/l**(-6\/11))\/(l*l**(3\/8)*l)**(-24) assuming l is positive.\nAnswer: l**(9704\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 12:45 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = l - 129, 516 = 3*l + l + y. Suppose 6*x - l = 105. Let g(p) = -13*p + 1. Calculate the remainder when x is divided by g(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 2355572*o**2 - 346756095244*o + 11445516504708.\nAnswer: -4*(o - 33)*(o + 294463)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -25\/3?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.74 - -129.16. Let v = -132 + l. Let o be (9\/(-6))\/(5\/2). What is the nearest to 7\/2 in v, o, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -220271883?\nAnswer: -220271883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -2\/13, -0.318 in decreasing order.\nAnswer: -1\/7, -2\/13, -0.318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 - (-2)\/4. Suppose 0 = 5*x - o*x - 90. Suppose -4*b = -3*i - x, -5*b - 3*i + 9 = -0*b. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -1) + -1 - 0. Suppose -z - 3*f = -31, 0 = g*f - 6*f + 8. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123818, 248556, 373294, 498032, 622770?\nAnswer: 747508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from {x: 4, l: 2, t: 3, g: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**6\/90 - g**4\/24 - g**3\/3 + 2*g. Let f(p) be the second derivative of s(p). What is the derivative of f(w) wrt w?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 15*h + 329. Give s(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004823802 to seven dps.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by (-1)\/((-3)\/77) - (-2)\/(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2085 divided by -3.\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaasasa. Give prob of picking 2 s.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1338.97 + 1339. Is t < 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91125090.\nAnswer: 2, 3, 5, 7, 109, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4997619 a multiple of 794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 807 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 9.00004491. What is l rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59989 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: b\"What is the gth term of -51001, -203969, -458895, -815761, -1274549, -1835241, -2497819, -3262265?\n\"Answer: 3*g**3 - 50997*g**2 + 2*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 5*r**2 + 2*r + 3. Let c(g) be the third derivative of -g**6\/40 - 3*g**5\/20 + g**4\/8 + 5*g**3\/6 - 21*g**2. Give -3*c(i) + 5*f(i).\nAnswer: 4*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjnjjbaj. What is prob of picking 1 j, 1 b, and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -11*k**6\/60 - k**4\/24 - 37*k**3\/6 - k**2 + 6. Differentiate g(f) with respect to f.\nAnswer: -66*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 4. Let n = 1240 - 1242. Which is the closest to 0.1? (a) o (b) n (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4316 is divided by 426.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**4\/24 + 7*j**3\/2 + j**2. Let o be a(10). Solve 2 = 5*g + h - 1, 3*g - 4*h - o = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -111110301?\nAnswer: 111110310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9516, -9495, -9458, -9405, -9336, -9251?\nAnswer: -9150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.311 - -151.311. Let w = a + -155. Suppose 2*i + 0*i = 0. What is the nearest to -0.1 in w, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 409400?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*a + 4*a. Suppose 0 = 3*v - x - x + 1, v - a = -2*x. Suppose -p = -v*p + 32. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 2, -15\/17, 11\/10, -27 in descending order.\nAnswer: 2, 11\/10, -3\/8, -15\/17, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*w - 4*z + 19, 3*w + 5*z = 20. What is the smallest common multiple of w and -3*(-2)\/(-33) - (-90)\/11?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*y + 3*x + 7, y + 1 = -2*x. Let g(w) = -5*w + 3. Let b(o) = 4*o - 2. Let j(s) = -4*b(s) - 3*g(s). Let h(z) = -2*z - 1. Determine y*j(f) - h(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 6*b + 1. Let x be j(-2). Let h = 29 - x. Solve 5*c + h = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(891) - (-2*(sqrt(891) + -1*sqrt(891)) - sqrt(891))) + sqrt(891) + 1 + -3 + 2*(sqrt(891) + -1))*-5 + -5)**2.\nAnswer: 2250*sqrt(11) + 556900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*n + 45 = -9, 2*n + 118 = -2*s. What is the remainder when 53 is divided by s\/12*(-21)\/4?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 q = -4.7792358 + 4.779. Round q to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 17*t + 15. Let r be z(-32). Let b be 2\/8 + 6894\/8. Let m = b + r. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**3 - 4*u**2 + 4*u - 19. List the prime factors of q(5).\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1141*a**4 - 2*a**3 - 15*a**2 - a - 179178?\nAnswer: -13692*a**2 - 12*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 3*c + c)*(4 - 4 - 6*c - 3 + c + 3 + (-1 + 3 - 4)*(1 - 1 + 2*c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 110163103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzzfz. Give prob of picking 2 z and 1 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, -0.04, -44\/19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*j - 6. Let g be j\/(2 + 8\/(-3)). What is the common denominator of (-2)\/g - 58\/(-18) and 13\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k - 1 + 5 - 2 - 2*k. Let s be g(-7). What is the common denominator of -5\/18 and 16\/(-24) + s\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93534330.\nAnswer: 2, 3, 5, 23, 283, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*t + 17, 2*t - 5 = -3*f + 4. Let b be 7*2*(-3)\/(-6). Suppose 2*v - b = 1. Solve 0 = -4*h - 8, -t*n - 2*h = -8*n + v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.481 minus 103868?\nAnswer: -103867.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66402.45 months to decades.\nAnswer: 553.35375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913370.\nAnswer: 2, 5, 149, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2\/g)\/((g*g**(-1\/10))\/g))\/(g**7\/(g*g*g**(3\/17)*g*g)) assuming g is positive.\nAnswer: g**(-293\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(0*w + w - 3*w) + 1 + 2*w - 1 + 0*w + 0*w + 2*w + (0 + 1 + 1)*(1 - 1 + 2*w) + 3*w - 2*w + 0*w - 6*w - w + w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*s - 6, -g - 5*s - 10 = 0. Suppose 165 = 5*y - 5*p, g*p + 6 - 121 = -5*y. Calculate the remainder when 83 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 5. Let r be n(-6). Let m be r - -2*3\/6. Suppose 3*b = 5*v - 20, -4*v + 5*b + 16 = -m*v. Let t(i) = i**2 - 3*i - 2. What is t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 - (-1 + 2) - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 - 33*y**3 - 72*y**2.\nAnswer: -3*y**2*(y + 3)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.7*-0.21164.\nAnswer: 4.804228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 356 (b) 0.1 (c) -1\/20 (d) -2\/27 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*x + 66, -4*q - 6*x = -2*x - 60. Let w = -22 + q. Do -8 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 26\/3, -13\/2, 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42620670, -85241342, -127862014, -170482686?\nAnswer: -213103358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/8)*v)\/((((v*v\/(v*v*v**7*v))\/v)\/v*v)\/v)*v**3\/(v\/(v*v**(-7)*v)) assuming v is positive.\nAnswer: v**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 4*j**2 - 2. Let b be w(-4). Let k = 5.033 + -0.033. Put k, b, 4 in descending order.\nAnswer: k, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 83*q + 1163. Let v be m(-14). Let g(o) = -3*o + 3. Calculate g(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 20 = -155*c + 159*c, 15 = 3*c + 2*x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -7.61, -1, 0, 1\/5, -4\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 854*j + 727*j - 923*j. Let y(t) = -2*t**2. What is y(g(u))?\nAnswer: -865928*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 30*t - 210. Let o be x(-12). What is the biggest value in 5, 1, 8, o, 0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k - 2*p = -5, 5*k - 4*p = 23. Suppose 2*b = 2*s + 12, s - k*s - 21 = -5*b. Suppose -l - 1 = -b. Solve -u - u - l = q, -5*q + 8 = u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-6)*61\/((-47397)\/999).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320908321 to the nearest integer?\nAnswer: 17914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a - 47?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.069864 milligrams?\nAnswer: 4069.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 9*q**2 + 8*q - 2. Suppose 22 = -2*p + 4. Let d be (15\/(-10))\/(0 - p\/48). Determine g(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21613546*i - 32079250 with respect to i.\nAnswer: 21613546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 28. Solve 0*a - 4*c = 4*a + k, -5*c - 18 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222235 + -33235?\nAnswer: 145000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 1. Let v be i(-2). Suppose -1 + 13 = v*s. Solve -5*c - 25 = -t + 6*t, 2*c = -s*t - 18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 b when three letters picked without replacement from qfqzbqizoqzqb.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 30.4. Let q = 2 + -2.6. Let n = t + q. Which is the second biggest value? (a) n (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 68*d - 51. Let q(i) = 70*i - 50. Let u(n) = -6*l(n) + 5*q(n). What is the derivative of u(h) wrt h?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618 = -3*k + 5*u, -3*k - 4*u = 2*k - 1067. Let s be (4 - 3)*(377 - (-1 + 2)). Let r = s - k. What is the highest common factor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 17*q + 38. Let w be r(-9). Let m = w + -43. What is the closest to 1 in m, 1\/3, 11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**3 + 55*i**2 - 125*i + 65 = 0. What is i?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*h = 121, -4*o + 51 = 2*h - 87. Let u = o - -743. Suppose 5*c = 520 + u. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 36 in ascending order.\nAnswer: -4, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 7*c - 6. Let s be o(5). Find the second derivative of -3*d + 818*d**s + 29*d**5 - 818*d**4 wrt d.\nAnswer: 580*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12\/7, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.126789226 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, q: 2, u: 3, v: 8}. What is prob of picking 1 v, 1 u, and 2 e?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y + 58*y - f - 4*f + 15 = 0, 0 = 5*y - 25*f + 55 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 - -121. Solve -w*y + 2*p + 0 = -1, -7 = y + 2*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111 + 111101?\nAnswer: -101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74964656?\nAnswer: 2, 13, 360407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -131*b + 130*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kto when three letters picked without replacement from {k: 2, o: 1, n: 2, t: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 2659 - 14988. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 2*m - 1\/9*m**3 + 0*m**2 + 0 - 1\/15*m**5 + 1\/90*m**6 + 5\/36*m**4. Solve i(g) = 0 for g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 676\/10009 + 1348996251\/100090. Let a = -13466 + f. Calculate the common denominator of 57\/8 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 3*k - 11, 0 = 68*i - 73*i - 5*k - 25 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76442 divided by -1178?\nAnswer: -38221\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (60*y + 50*y - 207*y)*(3557 - 3557 + 208*y) in the form p*y**2 + n*y + x and give p.\nAnswer: -20176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 10.8 (b) 15 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 8 - 2 = -3*h, 4*c = 5*h - 22 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -0.2, 43033 in decreasing order.\nAnswer: 43033, -0.2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.362 to one decimal place.\nAnswer: 27.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 612*n**3*q**2 - 13*n**3*q + 25*n**3 - 155*n**2*q**2 + 3*n**2*q + 2*n*q**2 + 107*n wrt n.\nAnswer: 3672*q**2 - 78*q + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 20*u**2. Let z(m) = 1696*m. Calculate z(f(c)).\nAnswer: 33920*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2. Suppose -10*z + 21 - 1 = 0. Suppose 4*r = 2*r + 4. Let x(c) = 25 - z*c**r - 25 - c**2. What is q(x(y))?\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36150379*p + 825792403.\nAnswer: 36150379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42339432 divided by -64248?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*k = 0. Solve k = 3*y + 2*y - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57676110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441697.\nAnswer: 441697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30520 and 2013585?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5))**(-20)\/(w**(-2)*(w*w**(-13))\/w) assuming w is positive.\nAnswer: w**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 8:04 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 351, 710, 1085, 1482, 1907, 2366, 2865?\n\"Answer: p**3 + 2*p**2 + 346*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5531*o = -11348*o + 5690*o - 5369 - 92 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/9 + 88*p**3\/3 - 166*p**2 - 2296*p\/9 + 392 = 0. What is p?\nAnswer: -2, 1, 7, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roi when three letters picked without replacement from onnqnnxxixnrrr.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75017*u**5 - 4*u**3 + 11998*u - 81 wrt u?\nAnswer: -1500340*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*o - 2*o**3 + o**2 + 3*o**3 - 19*o as z*o + c + y*o**2 + a*o**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 52*m - 164. What is n(-55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135819424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7270 divide 342940440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 10 = -5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2882, 4457, 6038, 7625, 9218, 10817, 12422?\n\"Answer: 3*p**2 + 1566*p + 1313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 54, 2, -18, -5 in ascending order.\nAnswer: -18, -5, -4, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 4449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 divided by 53449?\nAnswer: 11\/4859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j + 7*j + 5*j + 12*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -801 and -6?\nAnswer: 4806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9527*d = 9529*d + 15*n + 113, d - n = -14 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/562563 and -137\/84?\nAnswer: 15751764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114.5 - -113.5. What is the nearest to -0.2 in 0, 0.3, t, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 + 1) - (-36 - 15 - -38)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 5, -5, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a + 4 = 0. Suppose a*g - 4*g = -30. Suppose -5*u - 2*i + 131 = 0, 0*i - g = -5*i. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2189*d + 4143*d - 1650 = 2119*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2 = 5*k, 4*k + 14017 = 2*s + 14021 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, v: 5, c: 2}. What is prob of sequence bbv?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20165 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, u: 6, z: 2, a: 3, d: 2}. Give prob of picking 1 z, 1 a, 1 u, and 1 d.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11449306886 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m = -210. What is the greatest common factor of m and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 900837 by 6.\nAnswer: 300279\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9241 or 11\/2?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 866938630*f**3 - 775040347*f**2?\nAnswer: 5201631780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057807 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 611668613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062871272 rounded to 6 dps?\nAnswer: -0.000629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -50856 divided by -237\nAnswer: 16952\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200846497 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1117a (base 16) to base 2\nAnswer: 10001000101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3852424 by -2.\nAnswer: 1926212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16646 and 1558?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632991 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1.5. Let x = 0.0198 + 481.9802. Let o = x - 482.02. Which is the nearest to 0? (a) 0.4 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 m, and 2 y when four letters picked without replacement from tmptytypmpmyptptp?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 > -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21091019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1647889 divided by -19.\nAnswer: 86731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -26742.1514 to the nearest 100.\nAnswer: -26700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3\/7 - 78*p**2\/7 - 85*p\/7 + 474\/7 = 0.\nAnswer: -3, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -23. Solve 5*p = -l - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 415, -0.4, 0.3, 408 in decreasing order.\nAnswer: 415, 408, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67241, -67240, -67239, -67238, -67237, -67236?\nAnswer: -67235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-26)\/(p*p**(2\/11)*p*p)*p**24\/(p*p**23*p) assuming p is positive.\nAnswer: p**(-332\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**3 - 69*p**2 - 5*p - 192. What is v(-21)?\nAnswer: -2733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -861*z**2 + 119*z - 119. Let v(x) = -43*x**2 + 6*x - 6. Calculate 6*k(p) - 119*v(p).\nAnswer: -49*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58149 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*b + 18, 4*z - b = -0*b + 50. Suppose -60 - 480 = -z*m. Let u be m\/5*1 - 3. Solve -r = 3*n + 2 - 10, 3*n + 3*r - u = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 67*g + 1614. Let f be z(-24). Calculate the highest common factor of f and 903.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l**2 - l - 4. Let v be (-7)\/((-42)\/54) - 7. Determine i(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/168 and -143\/192?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 - 199*x + 2057. Does 14 divide w(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (38 - -1)*7\/21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 - 2*k**2 - 2*k**2)*(2 - 2 - 2)*(2 + 0 - 4)*(3*k + 0*k - 2*k)*(2*k + 0*k + 2*k).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 534309 rounded to the nearest one thousand?\nAnswer: 534000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(1\/5)\/f)\/f)\/f)**(-2\/3)*f**3*f**6\/f*f*f)**(5\/19) assuming f is positive.\nAnswer: f**(178\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 - 126 - 55*w + 115 - 2*w**2 + 97*w - 62*w to the form h*w + x*w**3 + q*w**4 + b*w**2 + y and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23557145 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u**2 + 35*u**3 + 3*u**4 - 98*u**3 - u + 36*u**3 + 28*u**3 as w*u**3 + h*u**2 + v + c*u + s*u**4 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 8 - 1 - 14*h - 12*h - 5.\nAnswer: -26*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2349 (base 14) to base 16\nAnswer: 17fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10766 + -10639. Solve 25*x + 23 = -k for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 + 26 - 4*z**2)*(1 + 0 - 2*z**2 + 1) to i*z + r + o*z**2 + f*z**3 + d*z**4 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 65046121?\nAnswer: -65046114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-255)\/(-50))\/17 + 18\/15.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 1 - 3 + 3)*(1 - 1 + 1).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-14) - 9*3\/9. Which is the nearest to t? (a) 0.2 (b) -2\/7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzwwffzzwz. What is prob of sequence fwf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 621905173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d - d)*(-26 + 16 - 5) - 2*d + 2*d + 2*d + (3 - 3 - d)*(0 + 3 - 2).\nAnswer: 46*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15202*q**3 + 53*q - 15210*q**3 - 53*q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834291185 a multiple of 5965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 95, -4, 352 in ascending order.\nAnswer: -4, -2, 5, 95, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1026 - 696. Let m = -39 + r. Suppose 348 = 3*i - m. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-10)*f)\/f*(f**(11\/4)*f)\/f)\/(f**(-3))**(5\/13) assuming f is positive.\nAnswer: f**(-317\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 2:21 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 4*q - 30)*(2 - 3*q**2 - 2)*(2*q**2 - 3*q**2 + 2*q**2).\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4336500*c**5 - 8703554*c.\nAnswer: 86730000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**15\/(u**(-3\/5)\/u)*(u*u\/u**(-2\/5))\/u**(-7) assuming u is positive.\nAnswer: u**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 20\/(-25)*(-30)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -16*o - 20353. Let z(d) = -5*d + 2. Calculate u(z(p)).\nAnswer: 80*p - 20385","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15300, 61201, 137696, 244779, 382444, 550685, 749496?\n\"Answer: -y**3 + 15303*y**2 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.111 + -0.089. Which is the second biggest value? (a) s (b) -5 (c) -2\/13 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 19*p**2 + 33*p + 41. Is b(-9) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 5, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**6\/60 - r**5\/6 - 7*r**4\/12 - r**3 - 20*r**2. Factor y(m).\nAnswer: -2*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 5 + 0*v - 109*v**2 + 111*v**2 as b*v + a + x*v**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (-3600)\/44 + (3 - 70\/22)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1192, 1472, 2132, 3172, 4592, 6392?\nAnswer: 8572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -100*b + 70*b. Calculate the greatest common factor of 40 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 + 8*p - 34 in the form l*p + n and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 0.9. Suppose 17*w + 18*w + 140 = 0. Let b be -4*w\/192*(-96)\/36. What is the nearest to o in 2\/3, b, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a**(2\/7))\/a*a)\/(a*a**(2\/11)))\/(a*a*a**(-1\/2))**(-4\/25))\/((a*a*a*a**(-3)*a*a**(-4\/3))\/((a*a**(1\/5))\/a*a**5)) assuming a is positive.\nAnswer: a**(39716\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83.9 - 16.9. Let c = -4122401.4999884 - -4122334.5. Let i = m + c. Round i to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 53 - (0 - -3). Let g = s - -62. Round g to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -243038 + 1086?\nAnswer: -241842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 25. Let l be y(10). Let n = l + 59. Is 22 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**3 + 301140*j**2 - 3*j - 47721342 with respect to j.\nAnswer: 9*j**2 + 602280*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-1 + sqrt(176) + sqrt(176))*4 + (sqrt(176) - (1 + sqrt(176)*-4 + sqrt(176))))*6)**2*3.\nAnswer: -51840*sqrt(11) + 2739853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 7 - 4 - j**2 - 2.\nAnswer: 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 - 213*w**2\/4 - 1859*w.\nAnswer: -w*(w + 44)*(w + 169)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -1\/2, -7, 54?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g - 378 = 30*g + 337 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v + 1018 - 576 = 1167 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -161009 + 161009 + 329*c as a*c + o and give a.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 13*c**3 - 11*c**3 + 36*c**3 + 14 + 51*c**2 + 7. Find the second derivative of s(l) wrt l.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 0*j**2 + 3\/5*j**5 + 0*j - 5\/6*j**6 + 1\/2*j**4 - 6 + 0*j**3. Factor m(a).\nAnswer: -a**3*(a - 1)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31049 + -31046. Let r be 4\/14 + (-74)\/14. Let s = 7 + r. Solve s*a + 6 = 0, -a + l + 6 = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/4 at least as big as -11273777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 48*c**2 - 1026*c - 51397. What is t(-46)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 12. Let b = -19 - -10. Let a(i) = 2*i + 10. Let r be a(b). Is s at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 16\/2217, 0.16, 0.5, 0.097?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + (-3 - -10 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.686 - 17.786. Suppose -5 = 3*n - 8*n. Suppose 0 = -2*p + 29 + 17. What is the third biggest value in n, r, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20232483?\nAnswer: 3, 6744161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1052)\/263)\/((-4)\/23)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2062 and -905.\nAnswer: 1866110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*t - 3*x, t + 0*t + x = 1. Let h be 197\/t + 1\/2. Let q = -63 - h. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 1 = -q + 3*a + 2*a, 84*a - 60 = -4*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 13*l - 5. What is the remainder when t(-8) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, s: 2, v: 3}. Give prob of sequence ssxx.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, m: 12}. Give prob of picking 3 m and 1 y.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26262893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028094 to seven decimal places.\nAnswer: -0.0000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2*k + 10, -3*k - 119*s + 128*s - 27 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from jrqee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19008174 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-56)\/(-12)*(-42)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37083*k**2*p**3 - 2*k**2*p**2 - 10*k**2*p - 42865*k*p**3 - 3*k*p - p wrt k?\nAnswer: -74166*p**3 - 4*p**2 - 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/585 and 89\/3120?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.275 + -0.2852. Let b = 456.9898 - a. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g**2 + 16*g. Let b(j) = -3*j. What is a(b(u))?\nAnswer: 72*u**2 - 48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/18*(-3)\/2. Let b = 88 + m. What is b rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.76408 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w = -7*w - 33*w + 288 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24564504 + 24564503.67600149. Let y = 0.324 + w. Round y to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 2:27 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 22. Let b be (-1 - (f + 3) - 1) + -1. What is the derivative of -318*t**2 - 20 - 13*t**3 + 318*t**b wrt t?\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000242415634 rounded to six dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 6146604.\nAnswer: -11\/6146604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38394.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -117, 20, -5, 11, 3, -44 in increasing order.\nAnswer: -117, -44, -5, 3, 11, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -2\/7 (c) 3 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -211010 (base 5) to base 8\nAnswer: -15535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81760\/(-7200) + (-413)\/(-35).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/5 + 708*p\/5 - 41772\/5.\nAnswer: -3*(p - 118)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3 - 2*c - 2\/3*c**2.\nAnswer: -2*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -362147050 divided by 72429410.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -83.\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -13. Let w = -14 + q. Solve 0*a = -4*a - w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.091 times -31.62\nAnswer: 2.87742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**7\/84 + r**6\/10 + 3*r**5\/10 + r**4\/3 - 8*r. Factor y(w).\nAnswer: w**2*(w + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6986069 and 73.35357.\nAnswer: -6985995.64643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.38 + 0.02. Let u = -18011 - -54034\/3. Which is the nearest to u? (a) 1\/7 (b) -3 (c) s (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -15. Suppose b*p - 4*p + 12 = 5*w, 2*p - 11 = -3*w. Suppose z - 133 = -2*z + 4*g, w*z - 158 = -g. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/3, 3\/4, -9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3307812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*u + 6 = 0, 5*u + 4 + 14 = h. Let i(x) = 10*x - h*x + 115 - 123. Let g(s) = -s + 1. Suppose 0 = 5*a + 61 - 91. Calculate a*g(c) + i(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = -17*x. Suppose -5*h = -x*h - 3890. Suppose 8*b - 142 = h. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493123988 to the power of 1\/3, to the nearest integer?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/2424 and -37\/48.\nAnswer: 4848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 5*s**2 - 11*s - 6. Let h be b(7). Suppose 1022 = -h*x + 3062. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**(-1\/5))*o*o*(o*o**(-10))\/o*o*(((o*o**(-3)*o)\/o)\/o)**(1\/21) assuming o is positive.\nAnswer: o**(-257\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*t - 303 + 887 = 32*t. Let a(p) be the second derivative of -4*p**3 + 0 - 6*p**2 - 3\/20*p**5 - p - 5\/4*p**t. Suppose a(b) = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8155*3.4.\nAnswer: 27727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 158, 1, -105\/4, -34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i - 2. Let g(x) = -x**2 + x + 18. Let w be g(0). Let n = w - 14. Let u(q) be the first derivative of -3*q**2 - 3*q + 6. Give n*u(h) - 5*v(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73967 is divided by 90.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -3.5. Let k = 0.8 + z. Let u = -0.15518 - 0.14482. What is the second smallest value in u, k, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4452 or -4453?\nAnswer: -4453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -294 + 292. Put l, -4, 0.03, 4 in descending order.\nAnswer: 4, 0.03, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58 + -64 - (-1 - 0 - 0)) + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11606.\nAnswer: 2, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 877875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -55742260.4 rounded to the nearest ten thousand?\nAnswer: -55740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 = -44*x - 10*x + 475 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = -4*f + 24, -3*f - y + 6 = 0. Let u(q) = -10*q**2 - 5*q + 3. Let j be u(f). Let k = 173 + j. What are the prime factors of k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 508*r**2. Let h(k) = 2*k**2. Calculate a(h(q)).\nAnswer: 2032*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578 times -11523?\nAnswer: -18183294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 349 - 346. Suppose 10*b - 64 = -i*n + 5*b, 5*n + 3*b = 96. Solve -3*v - n = 3*z, -z + 9 = -0*v - 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1052364 and 0.5.\nAnswer: 526182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j - 2. Let f(o) = 13*o + 9. Determine 2*f(i) + 9*u(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 11:52 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -885 by 1931.\nAnswer: -885\/1931","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.044 - 3.044. Which is the fourth smallest value? (a) o (b) -1\/3 (c) -4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4 - 121*d**3 + 164*d**2 + 2*d wrt d?\nAnswer: 48*d - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7960, 7964, 7968, 7972, 7976, 7980?\n\"Answer: 4*d + 7956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1272\/5 - 3\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6120)*9*(-12)\/3?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -24*(-108)\/384*(-3)\/9. Which is the closest to -2\/11? (a) t (b) -3\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2002 + 5?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71764 divided by 11.\nAnswer: 6524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 371400 to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 2. Let s be a(2). Let x(l) be the first derivative of l**4\/4 - 2*l**3\/3 + l**2\/2 - l + 5. Is x(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 9*u + d - 8064, -2016 = -u + 5*d. Let v(k) = -4*k**3 - 4*k**2 + 0*k**3 + 4 + u*k - 2014*k. Let x(z) = z**2 - 1. Calculate -v(t) - 4*x(t).\nAnswer: 4*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 679 + -476. Suppose -2*d = -2*u - 0*u + 224, 0 = -2*u - 5*d + l. What are the prime factors of u?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1138 - 160*o + 1138)*(-2 - 2 + 5 + 2*o) to the form f + u*o**2 + t*o and give t.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 290 and 105?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 2*h + 27, -5*r + 0*h = h + 26. Let w = r - 0. Let o(j) = j + 9. Let s be o(-8). Put s, 4, w in descending order.\nAnswer: 4, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -34 - -36 - 8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**4 - 172293*a**2 + 8*a - 47625010?\nAnswer: 8*a**3 - 344586*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1671*d - 566 = -2006*d - 7936 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*2 + -5 - 2*(sqrt(684) + 0)**2.\nAnswer: -1373 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2246117 is divided by 1058.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16 + 76*n**2 - 41*n**2 + 2*n - 21*n**2 wrt n?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p + 67 = g, -p - 5*g = 1. Let s = -12 - p. Solve -s*t + t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 4*z**2 - 5*z + 4. Let d be u(2). Suppose 2*p - 3*j = -2*p - 2668, p = d*j - 662. What is p rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*k - 237990 - 28730, -4*k - 213372 = -4*h. Round k to the nearest 1000.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58c5eb (base 15) to base 14\nAnswer: -7c678d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16001 - -16009. Solve -91 = 33*l + g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.087 - -1.117. Let c = 1.53 - g. Sort c, 3\/10, 0.\nAnswer: 0, 3\/10, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -22*b**2 - 111*b + 6. Let l = 48 + -20. Let c = 39 + l. What is the lowest common multiple of c and w(-5)?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 601.8 and 2.\nAnswer: 1203.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/(b*b\/(b*b*b**(2\/9))))\/((b*b**(-7\/3)\/b*b)\/(b*b*b**(7\/5)*b)) assuming b is positive.\nAnswer: b**(538\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n - 76 = -5*k, -5*k + 83 = -3*n. Let a = 16 - k. Solve -4*l - 5*h + 16 + 13 = a, -4*l = -5*h + 21 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 29. Let s be 6\/(-2)*(-268)\/j. Is (s - -3)\/(-1 + -1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - i, -2*w - 2*w - 5*i - 9 = 0. Let k be (8\/24)\/(w\/(-3)). Solve -4*p + k = -b, 0 = -2*p + 5*b - 5 + 28 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 4*n**3 + 6 - 2 - 2 + 2 in the form t*n**3 + y + d*n + j*n**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -450 (b) -90 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3 + 5 - z + 2 - 5. Let q(b) = -8*b + 3. What is the remainder when q(-3) is divided by i(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 57. Suppose -3*u = -234 - n. Let j = 96 - u. What is the remainder when 17 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/(-4*(-3)\/(-32)). What is the second smallest value in -2\/9, 0.2, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (148\/(-12) + 5)\/((-1)\/3). Let t = x + -17. Suppose 3*q = 5*p - 0*p - 234, 60 = p - t*q. What is the highest common factor of 27 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**5\/100 + 29*m**4\/60 + 13*m**3\/2 - 45*m**2\/2 + 29*m. Factor o(q).\nAnswer: (q - 1)*(q + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f - 2975 + 1272 = -3*r, 0 = r + 4 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 + 5) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(2 - 3) + 1. Let h = -4 + x. Is 9 a factor of (171\/(-3))\/(-3) - h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 11. Suppose -d*z = -z. Suppose -3*n + 2 = -j, 7 = -2*j + 3*n + 9. Solve -j*k + 16 = 2*x, -x + z*k = k - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0601671 months?\nAnswer: 0.0005013925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Does 4 divide g(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8286 + -8269. Solve 0 = s - 2*u + 6, 0*s - u = 3*s - l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/3 + 105\/3. Which is bigger: z or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3711 by -29542.\nAnswer: 3711\/29542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -16 - -9 - -49) + 29 + -11?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75937840 by 431465.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, k: 4, g: 7, o: 1}. What is prob of picking 3 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*u - 95*u - 69*u + 3286377. Is 219 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1676 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41885360 and 36649690.\nAnswer: 293197520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 85*f**4\/12 - f**3\/2 - f**2\/2 - 317*f. Let w(l) = -l**3 - 6*l**2 - 6*l - 6. Let v be w(-5). What is the tens digit of n(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 14. Let b be a(-16). Suppose -2*s = -14 - b. Let z(d) = 8*d - s*d - 4*d - 3*d + d**3 - 3*d**2. What is z(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 428392+0\nAnswer: 428392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 447656?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -0*r + r. Suppose 3*m + 8 = -1. Calculate the least common multiple of r and m\/(2\/(2\/(-1))).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2215?\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/37, 4, -18\/1687?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4650599 microseconds to nanoseconds.\nAnswer: 465.0599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 43647\nAnswer: 29\/43647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 319638826 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12272 at most as big as 12272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-two fifths of a millennium?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/24 and 95\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1498, 2997, 4496, 5995, 7494, 8993?\n\"Answer: 1499*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**3 + 3*m**2 + 14*m - 11. Let x be t(-5). Suppose -u + 5*b + 298 = 0, -293 = -3*u - 3*b + x. What are the prime factors of u?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -172 + 91. Let w = 84 + n. Calculate the smallest common multiple of w and 9*(-1)\/((-6)\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/61)*x\/((x**(-35)\/x)\/x) assuming x is positive.\nAnswer: x**(2320\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 22\/3)\/((-184)\/276).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3, -0.07, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 1. Let f(i) = -7*i**3 + 2*i**2 - 2*i + 1. Let r be f(1). Let s(b) = -2*b**2 + 6*b + 4. Suppose -5*h = -4 + 9. Give h*s(w) + r*p(w).\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2. Let x(s) = -165579*s**2. Determine x(h(y)).\nAnswer: -1490211*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13 - 13 - 101*y + 20*y**2 - 21*y**2.\nAnswer: -y*(y + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190817 and 41002?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6584159611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*s**2)*(-17*s + 10*s - 21*s).\nAnswer: -56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -2*m**3\/21 + 2*m\/7 + 4. Factor k(u).\nAnswer: -2*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 18 + 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 9) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 2938?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/3)\/1)\/1\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhafafapppafuiaaaha. Give prob of picking 1 f and 1 p.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-32))\/((-15)\/(-20)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36410 is divided by 52?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5182866 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-52) - (-164)\/52. Do -1 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - 0.08. Let y = 0.07 + v. Let u = -231\/4 - -58. Which is the closest to -2\/11? (a) y (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b + 43*b - 6449 = -4*x, 3*b = -x + 1609. Calculate the least common multiple of 465 and x.\nAnswer: 24180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.9 - -9.1. Let h = l - 10. Let p = -9 + 53\/6. Put 3, p, h in increasing order.\nAnswer: p, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659936359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - 30\/(-9). Suppose 0 = d + d - 2*c - 22, -30 = -2*d + q*c. Suppose 0*s - s + d = 0. Solve 5*r = 4*k - s - 33, 3*r + 4*k - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2 (c) 2\/3 (d) 0.2 (e) 2 (f) -1116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -208850, -208855, -208860?\n\"Answer: -5*q - 208845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-738)\/(-656))\/((-15)\/(-8)*-2))\/(546\/(-56))?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 6*p + 3*p + (2*p - 3 + 3)*(-3 - 1 + 5) - 122*p + 38 + 121*p - 51*p as j*p + d and give j.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 113*o**2 + 5*o + 5. Let s(u) = -396*u**2 - 18*u - 18. Calculate -18*c(l) - 5*s(l).\nAnswer: -54*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 3.5. Let q = -0.14 - -6.14. Let u = t - q. Which is the second smallest value? (a) u (b) -5 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1493, 4683, 10001, 17453, 27045, 38783?\nAnswer: 52673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 6745 = 3*y, 11*k - 6743 = -3*y + 15*k. What are the prime factors of y?\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 33 = 13. Calculate the highest common divisor of 20 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7*j = 15. Differentiate -2*l**3 + 11 + 5*l**j - 3 with respect to l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-1102) + (-96)\/1392.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833?\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435 - 1515 = -150*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 13*x = -170. Factor 35*v**4 - 15*v**4 - 25*v**3 + x*v + 223*v**2 - 258*v**2.\nAnswer: 5*v*(v - 2)*(v + 1)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 2.7. Let q = u + -1.8. Is -1 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/8 + 1\/(32\/2812). Let q = 6 + -1. Suppose -d = -q*b + 87. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**2\/2 - 30*o. Let d(l) = l**2 - 5. Give d(j) + 5*v(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 5)\/(6\/26). Let b(g) = s + 16 - 29 + 2*g. Let o(h) = h. Calculate b(o(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1536 + 2*s**4 - 7*s**3 - 1533 + s**3 to h + k*s**2 + m*s**3 + p*s + w*s**4 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/(-4)*4\/8. Suppose 47 - o = -c. What are the prime factors of ((-6)\/9)\/(2\/c)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-473)\/(-33) + -5)\/8?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, 2, -35, 3, 0 in descending order.\nAnswer: 3, 2, 0, -4, -8, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + 0*c)*(c**2 - c**2 + 2*c**2) + 2*c**2 + 2 + 46*c**3 - 343*c**3 - 492*c**3.\nAnswer: -787*c**3 + 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2364325628 to the nearest integer?\nAnswer: 48624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-27))\/((-902)\/(-99))\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**2 - 29*l + 14*l - 6 - 5*l**2 + 8*l - l**3 + 4*l**2. Calculate j(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 58*f**2. Let m(y) = y**3 - 49*y**2 - 52*y + 99. Let d be m(50). Let g(b) = -12*b. Let q(j) = -5*j. Let k(w) = d*g(w) + 3*q(w). Determine k(o(i)).\nAnswer: -174*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 21 = -6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*-4*((2*sqrt(112)*-1 + 6*(0 + sqrt(112) + sqrt(112)))**2 + (-5 + 1*sqrt(112) + sqrt(112) - (-4 + 0 + sqrt(112)))**2).\nAnswer: -181011 + 128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5934 (base 12) to base 10\nAnswer: -9976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2983647 or -2983649?\nAnswer: -2983647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18816*p + 382050*p + 139824*p + 138536*p.\nAnswer: 679226*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (57 - 10\/(-5)). Let m be (-282)\/(-15)*a\/(-24). Sort -1, -5, m in descending order.\nAnswer: m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9640260103*h**2 + 9640260103*h**2 + 2*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32327793 - -32331891.7063. Let a = -4099 + i. Let l = a - -0.312. What is l rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55601, -55606, -55611, -55616, -55621?\n\"Answer: -5*p - 55596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 3)*(-1 - 2 + 1) + (-4 - 2 + 1)*(0 + 1 - 4))*(0*z - z + 3*z) + 2*z + z - 2*z.\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006162 to 5 decimal places.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 6*w - 5. Let j be b(5). Suppose j = 3*k + 6*k - 108. Does 42 divide (k\/15)\/(2\/225) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178) + (sqrt(2178) - sqrt(2178)*1))\/(-4*sqrt(6)*1).\nAnswer: -11*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-16)\/96*136\/1.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25113, 25112, 25111, 25110, 25109, 25108?\n\"Answer: -j + 25114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06462942844 rounded to four dps?\nAnswer: -0.0646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2268913233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13157543 and 886.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by (4\/(-8)*3)\/((-6)\/76).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/38 + -2*21\/(-12). Let o(f) = 5*f - 4. Let b be o(4). Calculate the greatest common factor of y and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 462 and 12900.\nAnswer: 993300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 9:58 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8018 is divided by 386?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60490945, 60490946, 60490947, 60490948, 60490949?\nAnswer: 60490950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524 = 33*c - 136. Solve 7*v - 1 = c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + d - 5 - 1 = 0, 0 = -4*k - 4*d - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 637, 1316, 2013, 2734, 3485, 4272?\nAnswer: 5101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**3 + 6*f**2 - 5*f - 3. Let i be w(-6). Let h = 967 + i. Let k = 21 + -2. Calculate the remainder when h is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 14 = z, 0 = -3*z + 24*s - 28*s - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 47*x = -45*x + 79, -5*x = -l + 25. Calculate the least common multiple of l and 459.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/8)\/(i*i\/(i**5*i))*(i\/(i*(i\/(i**(1\/2)\/i)*i*i)\/i))**(3\/47))**(-20) assuming i is positive.\nAnswer: i**(-7455\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*z - 7*x - 162, -2*z - 5*x - 88 = 0. Let r(m) = m**3 - m - 4. Let a be r(-3). Let n = a - z. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 0 - 8\/3*k**4 - 3*k**3 - 2\/5*k**6 - 7\/5*k**5 - 2*k**2 - 1\/21*k**7 + 51*k. Factor a(i).\nAnswer: -2*(i + 1)**4*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15\/203 - 2\/29. Let k = 5.91 - 5.91. Let x be ((-1)\/15)\/(3\/(-9)). Which is the closest to -2? (a) k (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 48*x**2 - 184*x - 327. Determine n(-44).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 7 = -s + 5, -5*s = -w - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -34, -7, 0, 5, -117?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (108\/(-42) - -2)*(-14)\/12. Which is the nearest to l? (a) -18 (b) -2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/1 - 406\/(-202))*2. Do d and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqq when three letters picked without replacement from {o: 1, q: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11974771, 11974775, 11974779?\n\"Answer: 4*q + 11974767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 24, -279, -1 in descending order.\nAnswer: 24, 5, -1, -2, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-15)*10\/(-4). Let r be (f\/(-14))\/((-108)\/(-28) - 4). Suppose -r*j = j - 6. Solve 2*h - j = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1217872*t**3 - 12*t**2 - 15*t + 3311?\nAnswer: 7307232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286182, 572351, 858520, 1144689, 1430858?\nAnswer: 1717027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3980277, 3980285, 3980299, 3980319, 3980345, 3980377?\n\"Answer: 3*r**2 - r + 3980275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034.576nm in kilometers?\nAnswer: 0.000000001034576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - u**2)*(4 - 5 - 1) - 2*u**2 + 15*u**2 - 4*u**2 + 5 - 5 + 3*u**2 in the form m*u + x*u**2 + q and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 8, 17, 30?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(950) - sqrt(950)) + sqrt(152)\/sqrt(4)*1)\/(sqrt(4)\/sqrt(18) + sqrt(8)\/sqrt(4)*-1).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - -37) + (-1 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a = 33*a - 9. Suppose 0 = 4*l + 8, -a*f + l + l + 265 = 0. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + 3*(sqrt(22) - sqrt(44)\/sqrt(2)))\/(sqrt(24)\/(sqrt(588) - sqrt(12))).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 302 - 298 - (5 + 4 + (-4 + 0 - -37))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - b + 4. Let s = -10 + 10. Let d be y(s). Solve 0 = d*a - 23 + 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2188467*m**4*y**3 + 15*m**2*y + 2*m*y + 1257*y**3 + 4*y**2 wrt m?\nAnswer: -52523208*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*f = -4*l + 24, 3*f - 2*f = -8*l + 9*l - 6 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -523, -517, -509, -499, -487, -473?\n\"Answer: q**2 + 3*q - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -28*b + 136. Suppose -3*s + 4*d = -28439992, -b*d + 11*d = -3*s + 28440002. Round s to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 + -896?\nAnswer: -8bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*a - 23768, -4*a + 45 = 65. List the prime factors of j.\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 141\/94*(-2 + 2 + 4). Solve -5*s**5 - 4*s**4 - 27799*s**2 + 27809*s**2 + s + 4*s**5 - p = 0 for s.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-344 + 784*n + 344)*(-3*n + 0*n + 4*n) to v + p*n + f*n**2 and give f.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 + 76. Let f(i) = -2*i. What is the lowest common multiple of f(-4) and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21396441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(2*k**2 - 6*k**2 + 0*k**2)*(0*k + 0*k + 2*k)*(-2 - 1 + 2).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1331*r*x**3 + r*x**2 + 29*r*x - 8*r + 1231*x**5 + 20*x**2 - 11*x wrt x.\nAnswer: -7986*r + 73860*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 26*u**2 + 1. Let k = 197 + -181. Suppose 19*o - k = 3. What is q(o)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (0 + sqrt(19))*-4 - (sqrt(684) + 1))**2 + -4.\nAnswer: 2*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -70.0000202. Round g to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 19*f - 22*f + 171, 4*k - 2*f - 210 = 0. What is the greatest common factor of k and 837?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.69 + -20.7. Let y = v + 0.01. Are y and 0.08 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*l + 141*l = 71*l - 28 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(-7)*u**3)\/((u\/(u*u*u**7*u*u))\/(u*u**(-2\/15))) assuming u is positive.\nAnswer: u**(148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19614.9146 + 6825.08505. Let d = u - 26463. Let y = 23 + d. What is y rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -33. Suppose -4 = -4*o - 4*k, 3*o = k - 2*k + z. Let y be (73996 - -3) + 2\/(o - 0). What is y rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407295866.\nAnswer: 2, 367, 554899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 0, -21, -62, -129, -228, -365, -546?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2. Let w(d) = -3*d + 2. Let m(y) = -2*y + 3. Let a(b) = 2*m(b) - 3*w(b). Give j(a(k)).\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11413362513 - -0.5.\nAnswer: 11413362513.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19a4a84 + 15?\nAnswer: -19a4a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21419?\nAnswer: 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in sixty-seven fifths of a kilometer?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -905 + 1303. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5065 (base 8) in base 3?\nAnswer: -10120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o + 7. Let d(i) = -3*i + 7. Let w(k) = 5*d(k) - 4*u(k). Let a be w(1). Solve 0 = -3*p - a*b - 11, 4*p - 3*b + b = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -c + 168, -4*i + c + 421 + 271 = 0. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1416064578 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 39*p + 9. Suppose n - 11 = -8. What is the units digit of z(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + 1\/16*(-35 - 77)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3000)*-5)\/sqrt(10).\nAnswer: -50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpbyyyyypnnyb. What is prob of sequence nynp?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 81*k**4 + 5*k**3 + 9*k + 2. Let o(m) = 2*m**4 + m**3 + m + 1. Let w(i) = -5*o(i) + z(i). What is the second derivative of w(g) wrt g?\nAnswer: 852*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**5 + 418*l**4 + 4*l**2 + 38*l - 4 wrt l?\nAnswer: 120*l**2 + 10032*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (128\/272)\/((-8)\/(-2)). Which is the closest to w? (a) 0.5 (b) 24 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -3*n**3 - 8*n + 246. Let b(f) = 4*f**2. Calculate r(b(q)).\nAnswer: -144*q**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/16)\/1 + 901\/1272?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in -10\/17, -18509, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 724*o - 47. Calculate i(1).\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30182 or -60?\nAnswer: -30182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f - 9. Let p be d(3). Solve -p*k - 1 = z - 3*z, 3 = -k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f*v**4 + 31*f*v**3 - 3125*f*v**2 - 5*f*v + f - 985*v**5 - 32*v**2 - 2*v wrt v?\nAnswer: -168*f*v + 186*f - 59100*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 74*n - 70*n = -68, 0 = -3*k + 4*n + 32 + 62 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 11:03 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (2 - (6 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {y: 2, e: 2, c: 1, h: 2, i: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2*v = -3*p - 10, -3*v + 18 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64577, 258104, 580649, 1032212, 1612793?\nAnswer: 2322392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650590 is divided by 587?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 89113547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-5)\/60)\/(122210\/(-9680))\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.014 + 8.486. Let i = -9.16 + 0.16. Let f = i + o. Sort f, 5, -5 in increasing order.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i + 49. Let n(s) = -s - 16. Let r(p) = 2*f(p) + 7*n(p). Let y be r(-9). Suppose -50 = -y*x + 8*x. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 11, -2, -2\/5, 2\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*z + 0*z = -137, 4*h = -2*z + 314. Let k = -74 + h. Solve 3*i + k*i = -10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1047*k - 955 + 18520 = -10704 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 2)*(1 - 3 + 0)*(2*g - 5*g + g)*(161*g**4 - 87*g**4 - 97*g**4).\nAnswer: 460*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139\/263 - 94019\/4734. Let j = -1793\/63 - x. Find the common denominator of 149\/24 and j.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwdawawdpwwwpwaww. What is prob of sequence pdp?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(2\/15))\/u)\/u*u*(u*u**(-2\/13))\/u*u**(-1)\/u**(-4))\/((u*u*u\/(u**0\/u)*u)\/u**5*u**(2\/7)\/u**(1\/8)) assuming u is positive.\nAnswer: u**(27869\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**4\/4 - p**3 + 9*p**2\/2 + 27*p + 819. Factor x(w).\nAnswer: -(w - 3)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -1.5. Let v = t + 5.64. What is v rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*m + 225, -4*k = 3*m - 62 - 238. Let r = 110 - k. Find the third derivative of -r*y**2 - 9*y**4 + 0*y**3 + 0*y**3 + 11*y**2 wrt y.\nAnswer: -216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332968 is divided by 2798?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*a**3 - 143740*a**2 - 247574*a + 4634 = 0.\nAnswer: -331, -7\/4, 1\/54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 11:12 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1333763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-3)*z**2*(z**(-1)*z)**(-6)*(z**(-2\/11)*z*z**0\/z)**(-1\/10) assuming z is positive.\nAnswer: z**(331\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 104 = -96. Suppose -25 = -h*m - m. Suppose 0 = -q + 5*f - m + 1, 0 = -q - 4*f + 5. Is -1 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 3:22 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.178 plus 480?\nAnswer: 467.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.143 + 15.357. Round y to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 60*u**2 - 708*u + 644.\nAnswer: 4*(u - 7)*(u - 1)*(u + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7 - 16\/(-7). Suppose 3*o = 8*o - 110. Suppose h*m - 46 = o. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58734 < 58861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkkkkrzkrkykkrra. What is prob of picking 1 y, 1 r, and 1 a?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-215 + 211)*(6\/(-10))\/(((-520)\/75)\/(-2))?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42.9 and -33.5.\nAnswer: -76.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92453*f**4 - 15379*f**2 wrt f.\nAnswer: -2218872*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 102000112?\nAnswer: -102000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.13 + 0.31. Let h = f - -0.52. Put 4, h, 2 in descending order.\nAnswer: 4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2494*q - 7458*q - 2 + 2468*q + 2474*q.\nAnswer: -22*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(-2 + 2 + q) + q - 3*q - 2*q + (0 + 4 - 5)*(7*q - 3*q - 2*q) + q + 3*q - 6*q + 3*q + q - 6*q + 1 - 1 + 3*q to i*q + g and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4057, 8500, 12943, 17386?\nAnswer: 21829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - -30) - (25 - (53 + -17 - 5)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 2968 = 10*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*f - 7920 = 2517 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from jjjpauuujpuugaju?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010001000101101 (base 2) to base 8.\nAnswer: 121055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 1, 16 in descending order.\nAnswer: 16, 1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1304)\/(-1630))\/(23\/(-5)).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -629539*h*l**2*n + 2*h*l**2 + 19507*h*l*n + 43*l*n wrt l?\nAnswer: -1259078*h*n + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 64\/8)\/(2\/4). Which is the biggest value? (a) 33 (b) v (c) -3\/2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211229530.\nAnswer: 2, 5, 4217, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -966*p - 82109. What is l(-85)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - o = 132 - 102, -2*b - 12 = 4*o for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 + 4 + 1 - 6*b + 0. Let p be t(-7). Let f = 86 + p. Solve -5*r = 4*o - f, -4*r - r = -2*o - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -51\nAnswer: -13\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2 + sqrt(931)*-1*3 - -4*(sqrt(931) - (1*(sqrt(931) - sqrt(931)*-1) + sqrt(931)))))**2.\nAnswer: -308*sqrt(19) + 112655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkuo when four letters picked without replacement from kzokzzkzzzuu?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 32696783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by (-21 - -2)\/(65\/(-15) + 4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51.65967429 - -51.66. Round y to six decimal places.\nAnswer: 0.000326","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 40*f + 10. Let z(i) = -79*i - 21. Let h(b) = -5*j(b) - 3*z(b). Let q be h(10). Find the first derivative of -371*u**2 + 719*u**2 + 13 - q*u**2 wrt u.\nAnswer: -70*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 1\/4*l**4 + 0 - 5*l**2 + 0*l**5 - 1\/70*l**7 + 0*l**6 + 0*l + 0*l**3. What is the second derivative of z(b) wrt b?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 15*c + 40017600 = 14*c. Round c to the nearest 10000.\nAnswer: 2860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and 1266103383.\nAnswer: 1266103383.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.7 + -1.7. Let f = k + -0.8. What is the smallest value in -3\/5, 2\/11, f?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3002386.\nAnswer: 2, 1501193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*j + 17, 2*j = 4*w - 2*j - 12. Let t = -2.28 - -0.22. Let y = t - -0.06. Which is the closest to 1? (a) w (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33859.07 to the nearest 100.\nAnswer: 33900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-7)*1)\/(2\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -556 + 562. Let y = 81 - 36. Calculate the lowest common multiple of y and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2085)\/(-15290) - 2913\/66?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - -6. What is the remainder when q is divided by (4 - 1)*(21 - 17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 10*j + 8. Let x be g(-9). Let z = -1.86 + -0.2. Let v = z - -0.06. Which is the closest to -0.1? (a) 0.5 (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101003 (base 4) to base 15\nAnswer: 4cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2800992.1 rounded to the nearest ten thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 11*i**2 - 1\/12*i**5 + 5\/8*i**4 + 0*i**3 + 0 - i. Factor l(b).\nAnswer: -5*b*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2042694 and 3769560.\nAnswer: 5094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -h + 2*w, -4*h - w - 3*w + 164 = 0. Factor 38*r - 148 - 15*r**3 + 128 + 37*r - h*r**2.\nAnswer: -5*(r - 1)*(r + 4)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**4\/20 - r**3\/3 - 7*r**2\/10 - 3*r\/5 + 6. Factor y(z).\nAnswer: -(z + 1)**2*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 39. Suppose -17 = -5*w + j. What is the lowest common multiple of 7 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/75)\/((3381\/(-252))\/(-23)*2)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 598952 divided by 299476\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 5 (c) -3 (d) 2\/11 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/3, -6\/11, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*c*l**2*q**3 + 5*c*l**2*q + c*l*q**2 + 2*c*l - 2*c*q**2 - 3*l**2*q**3 + 251*q**3 wrt l.\nAnswer: 68*c*q**3 + 10*c*q - 6*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 + 7 + 26*-1. Is -27 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -75, 0, -1, -2 in ascending order.\nAnswer: -75, -2, -1, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008166873 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7062305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - 342. Let d = r - -626. What are the prime factors of d?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*i - 952 - 803 = 0, -2*m - 3*i + 1150 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddwddddddddd. What is prob of sequence wd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -772*a - 12302. What is h(-16)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) 8 (b) -1 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 94 - 2. Suppose 5 = 2*r + 3*r. What is the tens digit of ((-830)\/(-8) + (-6)\/m)\/r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 11 + 21. Let d = -3 + j. Let a be ((-5)\/d)\/(10\/2). What is the closest to 0.1 in a, 3\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*a**2 + 32*a**2 + 23*a**2 + (2*a**2 + a**2 - a**2)*(1 - 1 + 2))*(0 + 0 - a**2) as x + u*a**2 + z*a + w*a**4 + o*a**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*i**2*q**2 + 3*i**2*q + 589*i**2 + 61903*i + 24*q**2 - 1 wrt i?\nAnswer: 48*q**2 + 6*q + 1178","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s**3 - 5*s**2 - 5. Let r(l) = 5*l**3 - 3*l**2 - 3. Let t be (-2)\/4 + 462\/44. Suppose t = 16*f - 14*f. What is f*r(a) - 3*q(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 - 15*j - 1. What is the remainder when 32 is divided by v(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -22\/5195 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 883706?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20248 divided by -4.\nAnswer: -5062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t + 159. Suppose -6*p = -7*p + t. What are the prime factors of p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 0\/(-17) + (2*1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60190 divided by -30095\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/4, 592, 4, 1, -0.3, -3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1119.29 to the nearest ten.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 3 - (-3)\/2. Let q(f) be the first derivative of -2\/3*f**3 + 0*f + p*f**2 - 1. Find the second derivative of q(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 3*k + 2741 + 4734.\nAnswer: 4*k + 7475","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22525 + -5883.\nAnswer: -28408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*d + 6, -14 = 2*j - 2*d. Let k be (4\/2)\/(-2)*j. Solve -2*u + k*x - 22 = 0, -2*u - 3*x = -2 - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1341853.5 = 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1067, 2150, 3275, 4442, 5651?\nAnswer: 6902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15372.0149 + -15373. Round p to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2482, 5525, 8568, 11611, 14654?\n\"Answer: 3043*m - 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.585342 decades?\nAnswer: 0.05585342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12*(0 + (-4)\/8). Let o = -2 + x. Suppose -4*k = -k - 12. Is k at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2967 - -14588. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23452 and 11979708?\nAnswer: 131776788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(88)*5)\/((sqrt(144)\/sqrt(6)*-1)\/sqrt(3)).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -133198, -133238, -133278?\n\"Answer: -40*m - 133158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w + 90. Suppose 3*u - 3*p + 1101 - 1107 = 0, -3*u - 6 = -6*p. Solve -6*g - u + w = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 + 151 - 112 = -3*v for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4870.538km?\nAnswer: 4870538000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.078860441*0.1\nAnswer: 0.0078860441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -59. Let c(r) = 2 + 9*r - o - 12*r. Let x be c(-17). What is the highest common divisor of x and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, 16, 62, 106, 148, 188, 226?\n\"Answer: -s**2 + 51*s - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Express (h**2 - 2*h**2 + 3*h**2)*(10*h - 4*h**2 - 10*h) + (0*h - 3*h**2 + 0*h)*(-3*h + h**2 + 3*h) in the form j + s*h**2 + k*h**3 + p*h**4 + v*h and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8227907?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Let c be 1 - 8\/(-3) - z. What is the closest to c in 5\/4, -1, 3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 110*s - 561 + 1551 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + 0*k - 2*k + (-k + 2 - 2)*(6 - 1 + 0)*(-8 - 6 + 4) to t*k + m and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 14*r + r)*(-7 + 0 - 3)*(0 + 4 - 5).\nAnswer: -150*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 1, 0, 158?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 2. Let j(c) = -3*c + 2. Let b(g) = -5*h(g) - 7*j(g). Give b(-5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-5))\/(135\/(-50)). Let j = -3.9 - -5. Let o = j + -1. Which is the nearest to o? (a) -2 (b) 4\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233454.23 - -0.2265?\nAnswer: 3233454.4565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 217 + -217.1. Let x = -11 - -12. Which is the second biggest value? (a) 0.031 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9120364 divided by 33286?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 not equal to 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*y**3 + 64*y**2 + 48*y - 64.\nAnswer: 4*(y + 2)*(y + 4)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -345, -685, -1027, -1371, -1717, -2065, -2415?\n\"Answer: -n**2 - 337*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13787405, -13787403, -13787401?\nAnswer: -13787399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -216505655.00897 plus 30?\nAnswer: -216505625.00897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*r + 20, 19*c - 14*c = -4*r + 16. What is the highest common factor of r and 84?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 31 + 93. Let o = r + -33. Let h be (-10)\/4*(-4 - o). Solve h = -4*t - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 619158, 1238308, 1857454, 2476596?\n\"Answer: -2*g**2 + 619156*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**6 - 58*x**2 + 26*x**2 - 2*x**4 + 4*x - 2*x wrt x.\nAnswer: -360*x**3 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**0*j))\/(j\/j**14*j)*(j**(1\/14))**(-8) assuming j is positive.\nAnswer: j**(73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1462 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211841487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12870.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18154\/17 - ((-234)\/221)\/9. Let q = -596 + k. Calculate the lowest common multiple of 2 and q.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1047872 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -683840 divided by 64\nAnswer: -10685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434 is divided by (-3626)\/(-333) - 8\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v**4 + 2*v**4 + 27*v**4 - 2*v**4 - 5*v**4 - v**4 + (3*v - 5*v + 3*v)*(2*v**3 - 3 + 3) as y*v + r + q*v**3 + k*v**2 + i*v**4 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/41484 and 107\/36.\nAnswer: 124452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 3, 24, -4, -3, 111889 in increasing order.\nAnswer: -4, -3, -2, -1, 3, 24, 111889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.4, -124, 1, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.22 + -0.22. Let t be (-2)\/(-4) - 0\/5. What is the biggest value in t, o, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 365 (base 10) to base 6\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*x - 9, -3 = -17*x + 16*x + 5*v. Solve -3*q - x*j = q - 9, 4*q - j + 3 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104010 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 2*g**2 - 2*g**2 + 3 + 2*g**2. What is the least common multiple of 20 and q(-3)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y = 0, 5*t - y = -5. Let j = 8283 - 1242427\/150. Let h = 1\/75 + j. Is h < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*n + 7. Let u(v) = v**n + 3 + 1 - 3 + 1 + 3*v. Calculate u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -18790428*h. Let g(a) = -2*a**2 - 2*a. Give w(g(r)).\nAnswer: 37580856*r**2 + 37580856*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 minus 62166.16?\nAnswer: -61305.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -5, -0.2, 2 in descending order.\nAnswer: 2, -0.2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p - 14*p + 33*p - 6*p - 6*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -85\/12?\nAnswer: -85\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -s + 3346, 1558 = 3*z - 5*s - 963. Suppose 4*v = -r + 399, 2*r + 0*r - z = 5*v. What are the prime factors of r?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssssssstssss. What is prob of picking 2 s?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 7\/59 (c) 2\/13 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5051547 and 7599?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625 - 1300 + 671 + 72*y.\nAnswer: 72*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 1745.3.\nAnswer: 1745.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -17, 2 in ascending order.\nAnswer: -33, -17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) 3 (c) 8.43 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 360*f - 1. What are the prime factors of y(2)?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.810669 litres in millilitres?\nAnswer: 5810.669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -263, -240, -207, -164, -111?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(77) + sqrt(77))*-5)\/sqrt(7) - ((sqrt(891) - 2*sqrt(891)) + 1 + -1*sqrt(11)))**2.\nAnswer: -40*sqrt(11) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -16*p**3 - 3*p**2 + p. Let f be l(2). Let j = -962\/7 - f. Factor -8\/7*h + 4\/7 + j*h**2.\nAnswer: 4*(h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q + 3791 - 3011 = 3*y, 16 = -4*y for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-2)\/(-4)*0. Let p(q) = -q**3 + 7*q**2 - 7*q + 8. Let i be p(6). Let x = -1 - i. Is k greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2717 - -7204. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*j*k**5 + 4*j*k**3 - 2*j - 31*k**3 + 3*k**2 - 59*k wrt k.\nAnswer: -2940*j*k**2 + 24*j - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 5. Let l be v(10). Let u be 3\/3 - 159\/3. Let h = 76 + u. Solve 5*s - s = c + 21, c - h = -l*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5.3. Let k be (-2)\/7 - (-1600)\/112. Suppose -16 = f - k. Sort f, -1\/5, l in descending order.\nAnswer: -1\/5, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**6\/120 + k**5\/30 + k**4\/24 - k**3\/3 + 44*k**2. What is the hundreds digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 5:43 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 4*c + 8, 4*l + 5*c - 17 = 0. Suppose 4*p - 6 = -5*a, -a - l*a + 2*p - 16 = 0. What is the third biggest value in a, 5, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 9)\/((-1)\/(4\/(-6))). Let h be (-8 + -4)*(-2)\/6*l. Suppose 0 = 13*x - h*x + 66. Calculate the greatest common divisor of x and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741713 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**8*g*g*g**6\/g*g)\/(g**(2\/5))**(1\/8) assuming g is positive.\nAnswer: g**(339\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 4:06 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 71*b + 200. Give o(-32).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -11 (b) 4 (c) -1 (d) 873 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 3*w - 3*w. Solve w = 10*z - 7*z + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(8)*-3) - (sqrt(2) + (sqrt(2) + -1)*-6).\nAnswer: -6 + 14*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 0.4796 (c) 2 (d) 1\/6 (e) 0.4 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -42. Let h be 0*(-3)\/6*y\/(-2). Let p(c) = -c**3 + c + 74. What is the tens digit of p(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 11*v**2 - 43*v + 345. Let w be h(13). Which is greater: w or -551?\nAnswer: -551","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -229.012 - -230. Let m = h - -0.012. Which is the closest to -1? (a) m (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 52. Suppose -3*j + 13 = b. Suppose 3*c - 11 = -j*f, 3*c - 42 + 11 = f. What is the highest common divisor of c and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1239 divide 810500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19905.\nAnswer: 3, 5, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 6223\/245)*-10*3?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 6:54 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000095102 rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6908667173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 21*x + 22. Suppose 9*l = -73 - 98. Let w be m(l). What is the tens digit of ((-12)\/21)\/(w\/4648)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c. Let s be k(-4). Calculate the greatest common divisor of s and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*k + k + 11, -4*k = -2*r - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 + 33*z + 278. Let f be o(-17). What is the highest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49111 or 1?\nAnswer: 49111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52, -93, -96, -43, 84, 303, 632, 1089?\n\"Answer: 3*l**3 + l**2 - 65*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 645*u - 650.\nAnswer: 5*(u - 1)*(u + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/40 in -3291, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/45 - (-443698)\/6. Let m = g - 10151. What is m rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*c + 20 = 0, 2*c - 1 = 2*d - 21. Suppose -y = -2*y - w + 14, 3*w + 102 = d*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((0 - -1) + (-40)\/30)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 753797, 753799, 753801?\n\"Answer: 2*m + 753795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 350.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2784 = 190. Let z be -23 + 18 - (2 - d). What is z rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 21*n - 6 = 34*n, 3*n - 7 = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107\/52 + -30\/13. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2 - 3*q + 5 - q + 5*q. Let t(a) be the second derivative of a**3\/6 + a**2 + 2*a. Give 3*c(x) - 4*t(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6049273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -14*o**3 - 3*o**2 - 4*o. Let w(i) = -57*i**3 - 13*i**2 - 16*i. Let q(x) = 6*w(x) - 26*z(x). Find the second derivative of q(n) wrt n.\nAnswer: 132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p - 1. Let v be k(2). Suppose -24 = -3*t + 3*f + 144, 0 = -3*t - v*f + 128. Calculate the remainder when t is divided by 6256\/345 - 4\/30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*a = -103, -4*a = -2*c + 3*c - 82. Does 27 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = 0, 65*j - 68*j - n + 77 = 0. Let p(c) be the third derivative of j*c**2 + 30*c**3 + 0 + 0*c - 5\/2*c**4 + 1\/12*c**5. Factor p(q).\nAnswer: 5*(q - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 54?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-55)*(-16 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7197848704 + 7197850361.0002716. Let d = c - 1657. What is d rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 40936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (273570\/10777)\/(24\/104)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7640 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -29. Let u be r*((-6)\/2 - (-2 - -1)). Solve -4*q + 5 = q + 5*p, u*q + 5 = 5*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -5*s**2\/2 - 500. Let n(o) = -6*o + 16*o - 9*o. Calculate 4*n(p) + 2*r(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -113*a*m + a - 30930*m + 1593418 wrt m?\nAnswer: -113*a - 30930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000335785131 rounded to 7 decimal places?\nAnswer: -0.0000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176 - -177. What is the remainder when 1 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (0 + 3)) + -11 - (-22 + 49)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23, 53.\nAnswer: 0, 23, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d + 212. Let k(v) = 15*v - 847. Calculate -22*i(b) - 6*k(b).\nAnswer: -2*b + 418","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2220 - -134?\nAnswer: 2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + -2 + -2)*-1. Let j be (4 - 1)*6\/(-18). Let z be 0 - j\/(q + 0). Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14\/9))**(-13)\/(((o\/(o*o*o**(-18)*o*o))\/o)\/o**(-1\/2)) assuming o is positive.\nAnswer: o**(103\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2620134 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 1\/120*c**6 + 0*c + 0 - 7\/60*c**5 - 4*c**2 - 5\/3*c**3 - 5\/24*c**4. List the prime factors of r(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-55261)\/(-30514) - 2\/(-38). Which is bigger: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(432))**2 + sqrt(48) + sqrt(48))*5 - (-3 + sqrt(432) + -2 + sqrt(3) + 2)**2.\nAnswer: 118*sqrt(3) + 1644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1611 + -1281. Solve 3*c + t = 336 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - m. Let z(c) = 6*c**2 + 138*c + 30. Calculate the remainder when s(-10) is divided by z(-23).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g - 2*g. Let n(s) be the first derivative of -1\/3*s**3 + s**2 + g*s - 1. What is the second derivative of n(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 o, and 2 f when four letters picked without replacement from fcfjcof.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + -3 + (-2)\/(-2). Suppose -n - y*n = -75. Suppose 38 - 188 = -5*q. What is the greatest common divisor of q and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y - 310. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (14\/42)\/((-1)\/(-147)) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93989802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - -7. Which is the third smallest value? (a) 4 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-735 - -738)\/(3\/44)*(-4 + 5).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = 1, -5*j + 2*i = -5374. Suppose 5*s - j + 34 = 0. Suppose 3*o - s = 173. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23412 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (9\/(-27))\/((-2)\/(-52)). Which is smaller: -5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*o + 37 - 37)*((-8 + 2 - 11)*(-1 - 2 + 1) + 1 + 0 - 3) to u*o + y and give u.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 907\/2 or 455?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -699*h - 96456. What is c(-138)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3660 - 3649. Solve 0*m + 5*g + 1 = -3*m, 5*m - r = -2*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 - 1.4. Sort -2\/21, b, -3 in ascending order.\nAnswer: -3, -2\/21, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3. Let y be (-34)\/28 - 2\/7. Let z = -1.79 + -0.21. Which is the smallest value? (a) y (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 1, v: 2, b: 2, p: 1}. What is prob of picking 1 p and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. What is the nearest to d in -0.5, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:42 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/5079200 and 63\/16?\nAnswer: 5079200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 8, u: 3}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193064, -386079, -579094?\nAnswer: -772109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -18456958 >= -18457003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6.7 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaasaasppp. What is prob of picking 2 s?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w + 1134\/5 + 6\/5*w**2 = 0. Calculate w.\nAnswer: -21, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 1. Let t(w) = -7*w - 5. Let i(b) = -5*l(b) + t(b). Let o be 1 - (1 + 1 + -3). Let v(k) = -k**o + k**2 + k**2. Determine v(i(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 + 341?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.36 + -0.06. Let c be (2\/4)\/((-1)\/(-2)). Let t be c\/(((-2)\/4)\/1). What is the closest to d in 4, -2\/5, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-15)*6 + 84\/(-35) + -1. What is the third smallest value in 2, 4, 2\/3, c, -96?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -524633?\nAnswer: -524633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1368041053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 1. Let h(k) = 21*k**2 - 3*k + 2. Let s(g) = h(g) - 4*u(g). Let d(y) = 6*y**2 - y + 2. What is 11*d(m) - 4*s(m)?\nAnswer: -2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57740.03 litres in millilitres?\nAnswer: 57740030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34523880 is divided by 885227?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -18*t - 865. Let r(s) = 2*s + 120. Let w(n) = -7*r(n) - u(n). Let y(h) = -2*h + 2. Let p(f) = f - 3. Let x(i) = 2*p(i) + 3*y(i). Calculate w(x(m)).\nAnswer: -16*m + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 23657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-21)\/(-102))\/(-7))\/((-4)\/16). Let x = t - -5\/102. Which is the second biggest value? (a) 3 (b) 0 (c) x (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**8\/840 + j**7\/105 + j**6\/45 - 71*j**3\/6 - 23*j**2. Let v(g) be the first derivative of r(g). Factor v(o).\nAnswer: 2*o**2*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3413 + 3577. What is the remainder when o is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 0.05, 2, 57?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 11556804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + ((14 - 19) + 14 + -2 - -14)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 55255414 (base 6) to base 14\nAnswer: 31181c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17\/2 of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 0.2 (c) 0.6 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469*t**2 - 177 + 467*t**2 + 70 + 67.\nAnswer: -2*t**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8036\/15 - -536. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 17*l**3 + 3*l.\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r - 8. Let j(s) = -3*s**3 + 6*s**2 - 6. Let w be j(5). What is the remainder when 19 is divided by r\/(-10) + w\/(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.4 - -13. Let h = 0.4 + s. What is the nearest to h in -3, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5017621, -10035140, -15052659, -20070178?\n\"Answer: -5017519*o - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5433, -10866, -16299, -21732, -27165?\n\"Answer: -5433*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 3\/2*o**2 + 4\/3*o**3 + 0 - 54*o. What is s(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 61\nAnswer: -26\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4413991 to the nearest integer?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d - 51*d - 35*d + (4 + 0 - 5)*(12 + 5*d - 12).\nAnswer: -96*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 9*d - 5. Let t be 116\/145*((-25)\/2)\/1. Let j be b(t). Solve 0 = j*v + 1 + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 - 387872*n + 188055860480.\nAnswer: (n - 969680)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 73*h + 67 - 22 - 45 + 5*h**3 to the form l*h**3 + d*h + w*h**2 + k and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5409, 19407, 41999, 73179, 112941, 161279?\nAnswer: 218187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272) + 4*sqrt(272))*-6 + 2)*-2 + -2)**2.\nAnswer: -2880*sqrt(17) + 979236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798 is divided by 135?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = -u, 0 = -3*u - 4*n - n + 1. Sort -13, u, -2 in decreasing order.\nAnswer: -2, u, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -133, -187, -239, -289, -337, -383?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:25 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-5))\/((-6)\/6))\/(12*16\/(-5280))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + f - 10 = 0, -24*v + 4*f = -28*v - 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 10:54 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121\/22 + -2*(-2)\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 b when three letters picked without replacement from {s: 2, e: 2, x: 1, b: 1, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7226*d - 82. Let i(n) = -2408*n + 29. Calculate 17*i(m) + 6*t(m).\nAnswer: 2420*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 5*x)*(1 + 2 + 1).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11387009 is divided by 678?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23019 times -0.2\nAnswer: -4603.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(l + 3 - 3) - 794655 - 3563*l + 794655.\nAnswer: -3561*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + w + 17*w**3 + 2*w - 72*w**3.\nAnswer: -55*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(-12)\/o*o))\/o)\/o*o)\/(o\/o**(2\/65)) assuming o is positive.\nAnswer: o**(717\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**4\/4 - 2*n. Let a(r) = -4*r + 5*r + 2*r - 4*r. Calculate d(a(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*y**5 + 2*y + 3 wrt y.\nAnswer: -980*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13.88, -2\/15, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and -255095.\nAnswer: -5612090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2774 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42175, -84344, -126511, -168676, -210839, -253000, -295159?\nAnswer: -337316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13103033111323 - -21?\nAnswer: 13103033112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 20526.\nAnswer: 20526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12 - -6.88. Let v = -7.08 + w. Let i = -0.18 - v. Which is the biggest value? (a) 5 (b) i (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/(-152) + (2 + 2)\/(-32). Solve -2*v = -4*o - 24, -5*v - o + 2 + 3 = q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:41 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 5*j + 10. Let u be n(4). Suppose 3*h = -u, -r - 4*h + 27 - 4 = 0. What is the least common multiple of r and 5?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -257\/37, -0.2, 1\/4, 2\/5, 0, -4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2. Let y(q) = -2*q - 38. Determine d(y(j)).\nAnswer: 12*j**2 + 456*j + 4332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9651935?\nAnswer: 5, 107, 18041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4175*r**3 - 4864*r**3 + 9279*r**3.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, w: 11}. Give prob of picking 3 h.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 less than or equal to 379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -581 + -11b8?\nAnswer: -1769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**5 - 4*n**5 + 4*n**5 + (n**2 + 0*n**2 + n**2)*(n**3 + 0*n**3 + 0*n**3) + 78*n**3 - 55*n**5 - 78*n**3)*(0 + 1 + 1).\nAnswer: -102*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -977095 minus 1341.1034?\nAnswer: -978436.1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 154*d - 155*d - 914 + 1077. Let n(p) = 11*p. Calculate g(n(l)).\nAnswer: -11*l + 163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**2 + 0 - 2*g - 1\/36*g**4 - 1\/18*g**3. What is w in c(w) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -36070, -144334, -324778, -577402, -902206, -1299190?\n\"Answer: -36090*h**2 + 6*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -4*b - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -191203\nAnswer: -38240.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 - d7?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005948 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*j - 5. Suppose -2*i - 2*g = 2*i, -3*i = -3*g - 9. Let m be 0 - i\/(-4)*0. Solve m = 3*l - 6*l - j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from fpaee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 281815 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6441 + 6985. Calculate the smallest common multiple of 68 and o.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (71 - -13)\/(33\/(-2)) and 0\/3 - 280\/55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a + 5?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 5*v + 5. Let c be a(-1). Is c greater than -2.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*s, 3*s + 4*f - 17 = -f. Let n = s + 3. Differentiate -2*c**4 + 7*c**4 - 3*c**4 - n with respect to c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 33*o + 35505 = 34*o, 3*k - 35493 = -3*o. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7569 + 1.1506. Round n to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -74d8a76?\nAnswer: 74d8a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -10, -20, -32, -46?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 16. What is the units digit of i(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15, 61, 137, 243, 379?\n\"Answer: 15*b**2 + b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45189994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -238694999*c**3 - 296*c**2 + 224287*c wrt c?\nAnswer: -1432169994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(18\/28)*(-66)\/77\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134090 + -76249. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -8 (c) 7\/5 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*o = -3*g + 4, 5*g + 2*o + 16 = 0. Put 0, g, -5 in decreasing order.\nAnswer: 0, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - g + 4 = 1, -2*g = 10. Let t = -2 + m. Let h(i) = i - 1 - i**3 - 2*i + 0 + t*i. Let p(d) = 4*d**3 - 2*d**2 - 3*d + 3. Determine 3*h(f) + p(f).\nAnswer: f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 2, g: 11, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in decades?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098 = -346*u + 23934 for u.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(1*3\/(-15)*3230\/(-28747))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -236017 (base 11) to base 5\nAnswer: -43432104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*w**5 + 134*w**2 - 4605*w?\nAnswer: -220*w**3 + 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*d + 2669 - 85, -4*d + 2*j + 2068 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 254*j - 247*j. Solve 5*d + j*d = -4*c - 1, -2*c = -2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 4*k**2 + 8*k + 5. Let y(h) = 2*h + 10. Let c be y(-8). Let p be m(c). Is p*(2 + -2 + 1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 15*g + 6. Determine r(7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19150064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, l: 1, d: 3, i: 1, q: 2}. Give prob of sequence bd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvmvrrvar. What is prob of picking 1 r and 1 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -10. Is (d\/9)\/(4\/(-60)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10675*x - 1676*x = -84129 + 252196 + 820013 for x.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-114)\/304 - (-3)\/72. Let v = 3.98 - -0.02. Let a be 1*((-5)\/2 - -2). What is the closest to a in v, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2471860 to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 + -0.5. Let r be 2\/(((-3)\/22)\/(-3)). Suppose -5*h + r = 5*u + 4, 4*u - 5 = 5*h. What is the third biggest value in -2, x, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1957616.7 and 6895393?\nAnswer: 4937776.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221805844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -555 + 558. Is (p - 156\/54) + 18170\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 3:32 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1357 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpp when three letters picked without replacement from {g: 9, p: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - x**2 - 2*x + 550. Let d be p(0). What is the highest common factor of d and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:18 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, -22, -98, -244, -484, -842?\n\"Answer: -4*p**3 + p**2 - 5*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*i, 4*z = i - 10 + 31. What is the smallest common multiple of 3 - z - (-15)\/3 and 2 + 12\/4*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20599 and 6574395294.\nAnswer: 6574415893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(171)*2 + sqrt(171) + sqrt(171)) + (1*sqrt(171) + sqrt(171) + sqrt(171))*-3 + sqrt(171))\/(sqrt(45)\/(-6*sqrt(55)\/sqrt(11))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 2. Let f(g) = g - 3. Let h(t) = -3*f(t) - 4*p(t). Calculate the lowest common multiple of 11 and h(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -308, -675, -1166, -1787?\nAnswer: -2544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/44)\/(-2)*-2*1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 183728?\nAnswer: 2204736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132311022.\nAnswer: 2, 3, 19, 113, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223 divided by -92.\nAnswer: 223\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*2\/6 + (833 - 1)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-50)\/15)\/(1\/(-3)). Let x = y + -16. Let n(h) = h - 2. Let s(m) = -m + 3. Let d(r) = x*s(r) - 7*n(r). Differentiate d(l) with respect to l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 3:43 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (-31)\/(-11)) + (-704250)\/165. Let s = -3026 - f. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 128. Let i = 11 - 8. Suppose -4*v + x = -i*v. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 8*w**2 + 6*w + 16. Let s(c) = -2*c + 31. Let h be s(19). Let f be p(h). Suppose 0 = 25*g - f*g - 6. Solve g = -3*i - 0*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 6, n: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)\/h**4*(h**(-1\/3))**39 assuming h is positive.\nAnswer: h**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2726*a + 87 - 98 + 11 to the form u + k*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 + -2) - (-1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(((c\/c**(-4\/3))\/c)\/c))\/c**(-2))\/(c*c**(-6\/13)*c\/(c*c**3)) assuming c is positive.\nAnswer: c**(200\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*p**2 + 88*p - 40656 wrt p?\nAnswer: 36*p + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*p*v**2 - 118*p*v + 241*v**2 + 3 wrt p.\nAnswer: 50*v**2 - 118*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in -5, 1\/4, 0.07, -2\/13, 5, -12.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -31*d**2 - 3*d - 2. Let q be h(-1). Let o = q - 20. Let p = o + 77. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 13*p. Let j(u) = 9*u + p*u**3 - 9*u**3 + 16*u**3 - 5*u**2. Let w(y) = 3*y**3 - 3*y**2 + 5*y. What is -3*j(c) + 5*w(c)?\nAnswer: -6*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10423140 divided by 26726\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Round -111839.1628 to zero decimal places.\nAnswer: -111839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 + n - 2. Let o(d) = -d**2 + 3*d - 4*d + 2 + 2*d**2 - 5*d**2. Determine -3*b(u) - 4*o(u).\nAnswer: u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -133.193.\nAnswer: -133.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 20 + 104 = y, 4*y + 56 = 2*i. Calculate the greatest common divisor of i and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times 1212\nAnswer: 169.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -68193310, -136386621, -204579932, -272773243, -340966554, -409159865?\n\"Answer: -68193311*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 + b**4 - 42*b**2 + 2 + b**4 + b - 4 + 44*b**2 to m + k*b + s*b**2 + x*b**3 + f*b**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 958866, 1917831, 2876798, 3835767, 4794738, 5753711?\n\"Answer: k**2 + 958962*k - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*k - 4*k - 444 = 0, 2*d - 225 = k. Calculate the least common multiple of 78 and d.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in decades?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2120)\/1272)\/(-5*(-1)\/2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1697738*l. Let z(k) = -2*k. Calculate z(j(i)).\nAnswer: 3395476*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 20. Let h be n(-5). Suppose i + 3*a - 2 = 5*a, h = -3*i + 4*a + 6. Solve 2*p + i = 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 44189*v + 2916445. Calculate u(-66).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 2*b**2 - 5*b + 6. Let o be m(4). Suppose 5*s + 1034 = 2*r, 5*s - 553 - 1023 = -3*r. Calculate the highest common divisor of r and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 211 and 288859?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = 5*p + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**3 - 3*z**2 + z - 1. Let w(j) = j**3 - j**2. Let t(y) = 3*w(y) - x(y). Calculate the remainder when t(-2) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i + 12*i**2 - 3*i**3 + 4*i**3 - 5*i**3 - 13*i = 0. Calculate i.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010247 rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*s + 265. Put 2, -0.4, s, -0.3 in decreasing order.\nAnswer: 2, -0.3, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j = 18*j + 15793320. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 203, -2, -4, -3404 in increasing order.\nAnswer: -3404, -4, -2, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**4\/6 + 8*t**3\/9 + 5*t**2\/3 + 4*t\/3 + 84. Find o, given that f(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10037*q = -3*h - 10040*q - 15, -5*q + 0 + 4 = h - 3 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h + 3102*h**2 - 159*h - 1542*h**2 - 1547*h**2 to the form z*h + l + k*h**2 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71930\/107913 + 4\/35971. Let i = 2.9 + -3. What is the nearest to i in 2\/9, 4, -0.5, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4697590?\nAnswer: 2, 5, 461, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and -89952339475.\nAnswer: -89952339481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen halves of a decade in months?\nAnswer: 780","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let -177*m**2 + 288*m**2 + 186*m**3 + 9*m**4 + 257*m + 910*m**2 + 363*m + 100 = 0. Calculate m.\nAnswer: -10, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 10*f + 79. Give x(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -8. Sort -4, -1\/5, s in decreasing order.\nAnswer: s, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 102 + 0*t + t**2 + 0*t**3 + 17\/240*t**5 - 1\/6*t**4 - 1\/480*t**6. Determine v, given that b(v) = 0.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102 (base 4) to base 8.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 318113*i - 2863015. Calculate r(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (-6)\/(-3)) + 29502. Suppose 0 = 5*g + 27496 + q. What is g rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 - 2.3. Which is the nearest to -2\/9? (a) 4 (b) k (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**4*j - 2*f**3*j - 22375*f**3 + 1283*f**2*j + 4*f**2 + 182 wrt f.\nAnswer: -120*f*j - 12*j - 134250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4\/w**(-3))**(-41))**(-41) assuming w is positive.\nAnswer: w**11767","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -24. Calculate the remainder when p\/6*212\/(-6) is divided by (-84)\/(-6) - (2 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -37*v + 41*v - 474, 4*v - 465 = -b. Is 117 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4277369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 1 - 1500*-8200. What is c rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/120 - j**5\/20 + j**4\/8 - 5*j**3\/6 - 13*j**2 - 1. Let n(p) = 6*p**3 - 16*p**2 + 16*p - 26. Give -16*a(z) + 3*n(z).\nAnswer: 2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 35\/8*f**3 + 1\/2*f**2 + 1\/2*f.\nAnswer: -f*(5*f - 2)*(7*f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.2 + -10.1. Let z be (3\/(-30))\/(1\/2). Let i(m) = -2*m + 39. Let y be i(18). What is the closest to y in z, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318248 to the power of 1\/2, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 34. Let y = k + 0. Are 0 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5\/(-25)*-2 - (-1016)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 864 and 738.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3311 is divided by 254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1, -0.36, -5?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -18 + 16 + -9 + 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 9:48 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1300)\/(-182)*(-714)\/(-68).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrfedttv. Give prob of picking 1 r, 1 f, and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 10. Suppose 4*a = -0*a. Suppose 2*c + 2*c + 2*t = a, -t = c. Solve -u*p - p = c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439267183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 2*w**3 - 2*w**3)*(w**2 + 3*w - 3*w) + 6*w**5 + 3*w**5 - 5*w**5 - 2*w**5 + 4*w**5 + 0*w**5 + w**5 + 0*w**5 + 0*w**5.\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 1:45 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-187)\/255)\/(12\/15)*(-780)\/(-4290).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1871231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -425167, -850329, -1275491?\n\"Answer: -425162*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*b + 3*z, 3*b - b = 3*z + 13. Let k be (b\/(-2) - 0)*-2. Suppose -3*j + k*j = 18. Solve -2*g = 2*g + 5*a + 17, -4*g + 3*a - j = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/13))**45 assuming f is positive.\nAnswer: f**(-45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 146320111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3464*o**2 + 186 + 1735*o**2 + 1725*o**2 in the form z*o**2 + t*o + q and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:42 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13\/26570 (b) -0.9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y = 4838 - 4585 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -319 + -4?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**7\/840 - o**6\/480 + 11*o**2\/2 + o. Let r(c) be the first derivative of z(c). Solve r(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5)*(12 - -3). Suppose i*u - u = 25. Let a(j) = -j**3 + 7*j**2 - 2*j - 6. Is a(u) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.96 + 4. Let x = 0.04 - h. What is the closest to -1 in -0.5, x, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1697, -1622, -1517, -1388, -1241, -1082, -917?\n\"Answer: -k**3 + 21*k**2 + 19*k - 1736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imm when three letters picked without replacement from {c: 4, k: 1, s: 1, m: 2, i: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48091364 a multiple of 428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 1:53 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136 + 426613?\nAnswer: 430052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 3*f - 2. Let o be s(-4). Suppose 0 = -7*u + o*u. Suppose u*x + x - 10 = 0. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u - 4*u + 2*u + 2. List the prime factors of r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547957051.\nAnswer: 233, 2351747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*k + 2*j, -5*j - 37 + 2 = -4*k. Let g(a) = -a**3 + 6*a**2 + 7*a + 1. Let z be g(7). Sort -53, z, k, 2 in increasing order.\nAnswer: -53, k, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10*s - 9*s = 0, -4*s = 4*m - 48. Solve g + p = -0*p + 1, 2*p = m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 2*d - 3*d - 2*d - 47*d**3.\nAnswer: -47*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47392, -94782, -142172?\nAnswer: -189562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/46 - 1) + 2250\/(-45) + 57.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/9*9*1. Suppose -2*c + 5*c = i. Let h(o) = -2*o**3 + 9*o**2 - 9*o - 2. Let z be h(2). Solve -c*m + z*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20433 is divided by 681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 1\/25, 1\/12, 1\/3 in ascending order.\nAnswer: 1\/25, 1\/12, 1\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1\/7 (c) 0.016 (d) -1\/2 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-7 - -9)) + 6 + 12 + -41.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -30382.419 to the nearest 10.\nAnswer: -30380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9)\/(b\/b**19))\/(b*b**(-9)*b*b*(b*b**28\/b*b)\/b*b*b) assuming b is positive.\nAnswer: b**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6340\/70*(0 - -7). Let t be (2\/4)\/(f\/(-212) + 3). Let v = -24 + t. What is the highest common factor of 203 and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -261 + 1994. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 x when three letters picked without replacement from {x: 11, y: 3}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*q - 104. Calculate the greatest common factor of q and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9832001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**2. Let c(h) = 142348229*h. Give c(q(l)).\nAnswer: 854089374*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.04, -1, 5\/8, -2\/7?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -1\/13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116 - -120. Let y be m\/(-52)*-314 + 2\/(-13). Calculate the highest common divisor of 264 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(192))**2 + 4.\nAnswer: -16*sqrt(3) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -208038 or -208042?\nAnswer: -208042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29880\/(-664)*3\/30*6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 21. Let i(x) = -10*x**2 + 507*x + 166. Let s be i(50). What is the greatest common factor of l and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 11. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 552 and 1932?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5867 (b) -0.3 (c) 1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 1:42 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-20\/9)\/i**(-1\/2) assuming i is positive.\nAnswer: i**(-31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*l + x, -2*l = 4*x - x - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 6*c - 6. Let t be q(-3). Let a(r) = -3*r - 2 + 4*r**2 - 2*r**t + 7*r**3 - 5 + r. What is the hundreds digit of a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 749\/2 in 3\/2, -0.4, 1\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3241429 (b) -8 (c) -0.3 (d) 0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 9*a**2 + 2*a**3 - 1 + 7*a**2 + (7*a**2 - 6*a**2 + 4*a**2)*(19*a - 9*a + 15*a).\nAnswer: 127*a**3 + a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = -38*a - 4840. Let t = -220 - a. Factor -3\/8*j**3 + t*j - 15\/8*j**2 + 0.\nAnswer: -3*j**2*(j + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*i**2 + 5047 - 521*i**2 - 10065 + 1041*i**2 + 5018.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 211 - 187. Solve -4*y - 3 = -d, c = 2*d - 5*y - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 0.01, -49, 28?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*f + 52*f + 5*t + 5, 2*f - 4 = -4*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -37. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/2 + 13*k**3\/2 - 9*k**2 - 80*k - 64.\nAnswer: -(k - 8)**2*(k + 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000882273 to 5 dps.\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1573)*1 + sqrt(1573) - sqrt(1573)*1*-3 - (-1*(sqrt(1573) - (sqrt(1573) + 0)*6) + 0))*-5)**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13409 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -686, -2755, -6204, -11033, -17242, -24831?\n\"Answer: -690*i**2 + i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3761, -3702, -3643?\nAnswer: -3584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 278826792 a multiple of 1382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txxxtjnxxxnjxxxn. What is prob of sequence jxtt?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -472\/7*h**3 + 1152\/7*h - 4\/7*h**5 - 92\/7*h**4 + 0 + 768\/7*h**2 = 0.\nAnswer: -12, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/25)\/(z*z**(-1\/23)) assuming z is positive.\nAnswer: z**(-642\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 87\/(-27202)*(3 - 4). Is r bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4508614864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**(-36))*u)\/(u\/(u*u**(-5)*u*u)) assuming u is positive.\nAnswer: u**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364.775*-232.\nAnswer: -84627.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -62*u**2 - 28*u + 64. What is c(2)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 9*s - 31. Let f(b) = 3 - 3*b**2 - 2 + 2*b + 1 + b**3. What is the remainder when s is divided by f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6 (b) -1.025 (c) 4 (d) 0.1 (e) -5 (f) 88\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 2 - 19*s**3 + 2 + 1 + 19*s**3.\nAnswer: -2*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2) + 3 + -1 + 4. Suppose -1 = 4*j - 29. Solve p - m + j = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34 and -95\/486?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -7*a + 27 - 58. Let p(g) = g + 7. What is p(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -0.4, -270703, -5\/3 in increasing order.\nAnswer: -270703, -5\/3, -0.4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 221*w + 227. Let j be z(9). Let t = j - 665. What are the prime factors of t?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(6\/17408) - 110\/(-165). Let p = 5235 - w. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 320187502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**4\/24 + a**3 + 29*a**2. Calculate m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 313, 627, 941?\n\"Answer: 314*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -71*p**6\/2 + p**3\/3 - 309*p**2\/2 - 41. What is the third derivative of h(l) wrt l?\nAnswer: -12780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2258*h**3 - 20*h**2 - 63*h - 17. Let y(s) = 2258*s**3 + 18*s**2 + 54*s + 18. Let m(x) = 6*c(x) + 7*y(x). Find the third derivative of m(n) wrt n.\nAnswer: 13548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2552 and 9908140?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77922\/216 - (-1)\/8*2 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from ssuus.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-67)\/2)\/(-1*(-1)\/(-10)). What is the highest common divisor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 531 - 1101 + 570 + 5*w. Let j = -46 - -44. Let u(g) = 16*g. Give j*u(f) + 7*b(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 237996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -630 - 184*y**3 + 635 - 46*y**3.\nAnswer: -230*y**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 - 33*z + 435. What is d(11)?\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4865.8 - 0.682.\nAnswer: 4865.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*s = -0*s + 92, -2*s = 10. Calculate the remainder when 17 is divided by q\/(-2) - (-4 + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 20924*l**2 - 6359044*l - 6379964.\nAnswer: 4*(l - 289)*(l + 1)*(l + 5519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84381337?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -90 in -1\/4, -2\/9, -1\/2, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*n - 28 = 0, -3*w + w - n = -20. Let m = -4 + w. Let r be ((-4)\/(-9))\/((-10)\/(-3)). What is the nearest to -2\/3 in 0, m, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/7))**(-2\/79))**(8\/7)\/((j\/j**6*j**3)\/(j\/(j\/(j*(j\/j**(-1\/2))\/j))*j**(1\/7)*j)) assuming j is positive.\nAnswer: j**(36009\/7742)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1786 divide 112645835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 13 + 24. Let j = 95 + n. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9525823um?\nAnswer: 0.0000000009525823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -7598226\/5 and -1519645 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 11 - 1)*(0*c + 0*c + 4*c).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/2)\/(6*8\/96). Differentiate -36*z + 71*z - c - 10 - 37*z with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/330912 and -65\/648?\nAnswer: 992736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(170)*-1 - sqrt(170)) - (sqrt(170) - (sqrt(170) - 1*sqrt(170)*-3)))\/(-5*sqrt(20)\/sqrt(2) - -2*sqrt(30)\/sqrt(3)))**2.\nAnswer: 2057\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z - 12 = 13*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46.91 + 38.2102. Let m = c - -8.04. Let i = m - -0.65. Round i to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 3:20 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 (base 12) in base 2?\nAnswer: 10000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-96)\/36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -24*x**2 + 1. Let v be l(-2). Let t = 71 + -118. Let r = t - v. What is the highest common factor of 120 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9\/(-2)*1088\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3280 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -6. Let p be 0 + g + 0 + 0. Let k be ((-18)\/15)\/3 - 0. Is p less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4877153, 9754361, 14631567, 19508771, 24385973?\n\"Answer: -y**2 + 4877211*y - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from uuunsduunnduun.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x**2 + 2*x - 2. Let k = -256 + 260. Let f(b) = 6*b**2 + 2*b - 1. What is k*f(g) - 3*o(g)?\nAnswer: 3*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-15))\/(2\/5) - 3. Suppose -s = 2*a - 65. Calculate the remainder when a is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64.5 + -65. What is the closest to 1\/3 in -2\/15, w, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2*2 - 0) + (-1914)\/(-429). Do 1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 q when four letters picked without replacement from {l: 3, q: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/13 + 8848*u**4\/13 - 61848*u**3\/13 + 44156*u**2\/13 + 61850*u\/13 - 53004\/13 = 0 for u.\nAnswer: -1, 1, 6, 4417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*o - 5*o + 5*c, 2*c = -o + 13. Let p be (-1162500)\/9*(-36)\/5. Suppose 0*t + o*t - p = 0. Round t to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2902 divide 57279307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 612 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 6:05 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 6*t**2 + 60*t + 210. Determine l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 57*p - 49*p + 17*p**2 - 4*p**2 - 10.\nAnswer: 13*p**2 + 8*p - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + -1 + -1 + sqrt(300) - (sqrt(243)*2*6 + (sqrt(324) + 2*sqrt(324))\/sqrt(12)))**2.\nAnswer: 34347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 39797904*f\/5 + 1591916.\nAnswer: 4*(f + 1989895)*(5*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4314 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 2*t - 78. Let o be r(-7). Does 11 divide 48021\/45 - o\/((-1350)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8 = 3*x - 4, x = -4. Suppose 4*i + 3*i - s*i = 0. Let h = 30 + -26. Solve -h*l = -i + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezzezezzyeeyeaezee. Give prob of picking 1 y, 2 z, and 1 a.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2626.42086 minutes in weeks?\nAnswer: 0.260557625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-17)\/(578\/(-85)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5040334061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3213130232302 - -11?\nAnswer: -3213130232231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 + -2.3. Let q = -2235.20055 + 2235. Let g = j + q. What is g rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**3 - 3\/4*i**2 + 12 - 3\/8*i**4 + 0*i. Factor h(u).\nAnswer: -3*u*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 49 + 2\/(10\/(-25)). Suppose 42*t = d*t - 294. What is the greatest common divisor of t and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**3 + 173*b**2 - 54*b + 345. Give x(-58).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -57, -47, -7, 63?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 185223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*r - 11, -16*r + 12*r - 5*c = -61. Solve 4*w - 5*g = -6, r*g + 1 + 3 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(77)*-1)\/sqrt(7))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1122, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -5236.\nAnswer: -5235.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/28 - 8\/(-7). Suppose -2*a + 1255 = 5*h, -5*a - s - 250 = -h. List the prime factors of h.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*l + 2. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:20 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (48\/(-15))\/(36\/(-210510)). Suppose 0*l + l = 3*z - w, 3*z = 2*l + 18707. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + 2*t - 3. Let j be x(2). Let l = -2 + 4. Let y be 0\/(l\/(0 + 1)). Solve -4*u + p - j = y, -2*p + 19 = -2*u + p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-7) - 6\/21. Let i be p + 2 + 0\/(-2). Find the second derivative of n - 27*n**4 + 29*n**4 - 3*n**3 + i*n**3 wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/((25\/(-80))\/(-5)*2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 1)\/(-124 + 141)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:59 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0*w**7 + 3\/32*w**4 + 1\/448*w**8 + 0*w + 0 + 1\/4*w**3 - 1\/40*w**6 - 25*w**2 - 1\/40*w**5. Let g(l) = 0. Calculate l.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 312\/32 + 6\/(-8). Let j = -6 + i. What is the third derivative of -3*r**6 + 4*r**2 - 2*r**6 - j*r**6 wrt r?\nAnswer: -960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*i + 1482*u - 1487*u, -4*i + 21 = u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160439, 641781, 1444019, 2567147, 4011159?\nAnswer: 5776049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -1, 2, 25091 in ascending order.\nAnswer: -5, -1, 2, 4, 25091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 9. Suppose z*o + 3*o = 15. Suppose -u**3 + 12*u**4 - 3*u**2 - 4*u + 2 + o*u - 11*u**4 = 0. Calculate u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -349*v + 690. Determine q(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-2)\/6*465\/(-62)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**2 - 566 + 283 + 283.\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -140*q + 6. Let f(b) = 139*b - 5. Let y(h) = 5*f(h) + 4*p(h). Let z be y(4). Suppose 4*i = -0*s - 3*s + 330, 5*s + 3*i = z. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oopppppoppppop. What is prob of picking 4 p?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8846121?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from {e: 1, n: 1, f: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 + k. Let r be t(4). Let c(p) = -2*p**3 - 10*p**2 - 9*p. Let g be c(-6). Let i = g - r. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*s + 35 - 19. Let z(d) = -3*d + 10*d**2 + 3*d - 1. Give z(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 5*o = 118. Let m = o - 53. Suppose 3*z + 2*f = m*f + 93, 2*f = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557123140?\nAnswer: 2, 5, 77856157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022 + 121100022002222?\nAnswer: 121100022000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7898027583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (16 + -5 + -20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l + 22. Suppose 0 = p - 5*g + 10, -15*g = 5*p - 20*g - 10. Give i(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 10:08 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/((-2)\/6). Let x be ((64\/(-20))\/(-8))\/(32\/(-50)). Which is bigger: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2276431293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/(32\/(-1488)). Let u = -28 - s. Suppose -2*t - c = -109, 254 = 4*t + u*c + 41. What is the greatest common factor of t and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/4 + 1\/12. Let -2\/3*i**3 + 2\/3*i + 0*i**2 + j - 1\/3*i**4 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjjnjnjjjjjjj.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002674484 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 84618*h**3 - 169237*h**3 + 84620*h**3 - 149 as f*h + o + w*h**3 + x*h**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 983.93\nAnswer: -5903.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 18) + -31 + -16?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -393 or -1967\/5?\nAnswer: -393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w*z**3 + 2*w*z**2 + 106*w*z + 32*w - 702*z**3 - 2*z**2 + 2*z + 128 wrt w?\nAnswer: -z**3 + 2*z**2 + 106*z + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 29*a - 259. What is k(9)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 14, 4*k + 109 - 128 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3109*a**2 + 277*a - 3362 + 3364 - 1112*a - 74*a wrt a?\nAnswer: 6218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w - 70. Let c be (21\/w)\/(3\/16). Suppose c - 2 = 2*z. Solve i = z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 2, -22, -62?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(104 + z - 104) - 5*z - 3*z + z - 2*z - 7*z + z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 2165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 7*f - 47*f + f**3 + 96 - 2*f + 0*f**3 - 36*f**2.\nAnswer: -4*(f - 1)*(f + 4)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**3\/2 - 32205*c**2 + 34585671*c\/2 - 68656158 = 0?\nAnswer: 4, 547, 20919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/((-21)\/92) - (3 + -1). Let i = -680\/21 - f. Let 0 + 0*y + i*y**2 = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 300 + -133. What are the prime factors of g?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*j = -68, -5*f + 3*j + 62 = 5*j. Solve -2*t + 8 = f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1659\/36 - 7\/84. Solve -5*z - w + 41 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8193 (b) -4\/693 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026003933 rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**8\/168 + 23*j**7\/70 - j**6\/15 + 2907*j**4\/8 + j**2 - 150*j - 13. Find the second derivative of c(m) wrt m.\nAnswer: -40*m**3 + 828*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - y + 4*y + (-2*y + 4*y - 3*y)*(3 - 2 + 0) + (-3*y + 4*y - 3*y)*(8 + 7 - 12) to the form h + l*y and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 69088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i - i + 11*i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 6*u - 7. Let f be h(-5). Let z be 23 + f + 3 - 0. Let c = 48 - z. What is the greatest common factor of 36 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -155 - 1114034556.69.\nAnswer: -1114034711.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -9, -12, -15, -18, -21?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*w - 15. Find the second derivative of w*b - 6*b + 12*b**3 - 18*b**3 wrt b.\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 260 + -256. Find n, given that -36*n**3 - 8*n**2 + 2*n**2 - 6*n - 19*n**2 - 2*n**2 - 12*n**a = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 6\/(-7))*7. Let x = y + 10. Find the second derivative of 0*z - 2*z**4 + 0*z**x - 2*z wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 38\/7 (b) 4.6 (c) 10\/29 (d) 0 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177951078?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**12\/j*j\/(j*j*j**(-10\/9)*j))\/(j**(3\/7)*j**(-4)))**(-12) assuming j is positive.\nAnswer: j**(-3448\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 456.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 - 28281*g - 310882. Determine m(-11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(-3*1*sqrt(147)*-1 + 3) + 2)**2 + -1.\nAnswer: 336*sqrt(3) + 5309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*x = -111*x + 70. Calculate the remainder when x is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (1 - 3) + (-26)\/(-2). Which is smaller: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**5 - 3*n**2 - 3*n - 3. Let l(c) = 4*c**5 - 4*c**2 - 2*c - 2. Let v(b) = -3*l(b) + 2*y(b). What is the third derivative of v(h) wrt h?\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 - -3 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4708478, 4708479, 4708480, 4708481, 4708482, 4708483?\nAnswer: 4708484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -24*n - 83. Let s be g(-4). Let c(i) = -81*i + s + 31*i + 21*i + 31*i. Let b(j) = 4*j**2. Give b(c(y)).\nAnswer: 16*y**2 + 208*y + 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-420 + 1374 - 369)*(5 - 1 - 1)*(5 - 5 - 3*c**3)*(2 + 1 - 4).\nAnswer: 5265*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 7, m: 4, o: 2}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11444 + 0?\nAnswer: 11444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49309.\nAnswer: 13, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 2327?\nAnswer: -698.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638*u - 8449 = 2113*u + 22526 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (36 - 5) + (-37 - -4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 196844*h - 196844*h + 32*h**3.\nAnswer: 32*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 22*z**2 + 6*z - 8. Let j be n(13). Let u = j + 11655\/8. Let y = 384899\/71940 + -1\/3597. Find the common denominator of u and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 116*d + 119*d - 23*d**2 - 233*d)*(-2 + 2 + 1).\nAnswer: -23*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 2*n**2 - n - 4912. Let x(y) = 2*y - 1. What is -4*b(q) + 7*x(q)?\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(8448\/16)\/(-44)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 + 62.79. Let p = b - 0.79. Sort 0.4, p, -3 in decreasing order.\nAnswer: 0.4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 68*j + 119, -4*y + 2*y + 6*j + 77 = 2*y + 3*j for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d - 64. Let k be c(11). Solve -u - 6 = m + u, -k*u = 2*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**2 - 2*r + 1. Let g(h) = 4*h**2 - 2*h. Let l be (-98)\/(-34) + -5 + 1392\/272. Give l*g(m) - 2*p(m).\nAnswer: 2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**4 + 40545*q**3 + 121605*q**2 + 121595*q + 40530 = 0. What is q?\nAnswer: -8106, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.334 times -0.4348?\nAnswer: -0.1452232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518 + 106 + 92 + 104 - b + 104 + 112.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.92129 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6595*a + 65961. Calculate z(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*i + 0 = 2, -12 = -3*i. Let y be (-3)\/(l\/(-4))*9. What is the highest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 938173669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23497283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/5*(-1 + 1). Let c be (-4)\/(-22) - 7011\/(-99). Suppose 3*i + 11 - c = p. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-12))\/((-15)\/220) + (-8648)\/799.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from {l: 9, c: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000110000 - -10111100000011011?\nAnswer: 10110111111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) - 52\/(-16). Suppose 0 = -4*y - k - 10, 3*y + 7 = -l*k + 2*k. Is 0.1 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -45554.\nAnswer: 2\/22777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127 - -163. Suppose -16*n + m = -7*n. Solve 0 = 5*d - 4*y + 8*y + 21, 0 = n*d + 3*y + 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 0 + 0*i**4 - 3*i - 2*i**2 + 0*i**5 - 1\/30*i**6 + 0*i**3. Differentiate a(z) wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4156 divide 878998156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 792715 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*q - 320 = 11*q. Let z(a) = -a - 27. Calculate z(q).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by 28.\nAnswer: 61\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (12 + -17 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -397.666 - -398. Let l = s + -0.534. What is the nearest to l in 0, -3, 1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/3 - 139*x**2\/3 + 274*x\/3.\nAnswer: x*(x - 137)*(x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4524192 and 43056.\nAnswer: 58814496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46075230 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u + 3*f = -349, 4*u - 348 = 4*f. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 = -3*q, 7 - 22 = -3*h - 3*q. Let u(g) = 1 + h*g + 3 + 0 + 2*g**2 + 3*g. Determine u(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 9, 2.\nAnswer: -1, 2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**3*z - a**3 - 152499*a**2*z - 5*a**2 - 4*a*z - 231*a - 21437*z wrt a.\nAnswer: -24*a*z - 6*a - 304998*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14582905?\nAnswer: 5, 2916581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/2 (b) 4 (c) 8 (d) 0.09 (e) -2 (f) 0.04 (g) -38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -16 + -2 - (-14 + -17 + -6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 x when three letters picked without replacement from {x: 9, u: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 688*n - 208. Let r(i) = 10*i - 3. Let v(w) = -416*r(w) + 6*x(w). Determine v(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - ((-3 - -12) + 15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {j: 1, a: 1, s: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*k = -7*f - 15, -23*f - 3*k = -20*f + f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102 + -0.0432.\nAnswer: 101.9568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iffriitioffrkt. What is prob of sequence koff?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cb4061 (base 14) to base 2.\nAnswer: -11010010001100001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from zxxxmmmmz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 27. Let j = 30 - c. Suppose 4 = j*m - t + 2*t, 0 = 4*t + 8. Solve -2*h - m*h + 16 = -4*i, 0 = -i - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((12\/(-9))\/(11641\/(-1659) - -7))\/1. Solve o - 55 = 6*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/9 + 2)\/(2\/(-6)). Suppose 0 = -3*w + 12, 0 = -0*v + v - w - 1. Suppose -v = -96*k + 95*k. What is the highest common divisor of k and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 2094.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.8, -1, -0.4, 0, -27, -0.5?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4014 or 4009?\nAnswer: 4009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-80 - -2)\/(14\/(-21)). Let t = y + -57. Suppose -t = 3*f - 7*f. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10001011000001001?\nAnswer: -10001011000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 641258*q**4 - 8766*q - 34.\nAnswer: 7695096*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {p: 15, w: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 7360?\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -2202003311302?\nAnswer: 2202003311322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*y + 83 - 2083 = 10*y. Suppose m + 6 = 4*m. Suppose 332 = 4*q - 5*n, m*q = -2*q - 2*n + 304. Calculate the remainder when q is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 3*w + 3. What is o(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6492 divided by -3\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 829260 and 10?\nAnswer: 829260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((20 - 7) + (2 - 11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -4*v - 3*t, -730*v - 4*t + 2*t - 32 = -725*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 12:38 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 4*r = -14*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, 11, 19, 27?\n\"Answer: 8*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29241650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, -4, -5, -174 in descending order.\nAnswer: -4, -5, -88, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 588*w**3 + 1750*w**2 - 1164*w.\nAnswer: 2*w*(w - 291)*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 0 - 2*o + 0*o**2 + 3\/20*o**5 + 1\/2*o**4 + 1\/2*o**3. Solve a(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 0*n**4 + 1\/80*n**5 + 1\/120*n**6 + 4*n + 0*n**2 + 0 + 0*n**3. Factor g(y).\nAnswer: y**3*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1574 + 1578. Solve -2*d + 11 = -5*f, -4*f - 5 = -v*d - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, x: 7, u: 3}. Give prob of sequence ux.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 102*h**3 - 34*h**2 - 32*h + 3. Determine i(-1).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/15)\/(5668\/(-327))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, 29, 3, 16, 0, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9289 - 9287. Factor -2 + 1\/2*q**3 - o*q + 1\/2*q**2.\nAnswer: (q - 2)*(q + 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*q - 64. Suppose -5*h = -f + 228, 4*h - 4*f + 24 = -168. Let m = h - -173. What is the highest common factor of m and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 50 = 5*y, -5*y - s + 1 = -44. Let i = 13 - y. Find m such that 2*m**5 - 4*m**i + 2*m**5 - 2*m**3 - m**5 + 3*m**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1216)\/(-288) - 3\/(6\/8). Let q = 5 - 0. Let t = -2 - 0. What is the biggest value in q, h, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1282 is divided by 49.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1. Let d(m) = -m + 6. Suppose 0 = 3*g + 4 + 2. Let h(l) = g*u(l) + d(l). Let n = 95 - 90. Give h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - -5*-1*sqrt(190))\/(sqrt(20)\/(-1*sqrt(2))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361035.\nAnswer: 5, 13, 20939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5560)\/(-4) - (-40)\/(-8). Let p = q + -772. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -83, -85, -87, -89?\n\"Answer: -2*s - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -102, -45, 5, 3 in ascending order.\nAnswer: -102, -45, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18 + -0.18. What is the smallest value in 3, 4, y, 3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -49 (b) -27 (c) 0.058 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/7)\/(4\/(-10)*(-805)\/2254). What is the fourth biggest value in -1\/4, 1, v, 0.93, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1309*w + 209936 - 276*w - 209933 + 217*w.\nAnswer: -1368*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 11, 39, -364?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooog when four letters picked without replacement from gagooogg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*b = -1259, -927 = -8*o + 5*o + 2*b. Suppose s + 3*s = -168. Let n = s + o. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2376796 and 29252.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d28bc - 78?\nAnswer: 6d2844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 3*i**2 + 2*i. Let d be 1 - (4 + (-7 - -2)). Let c be n(d). Suppose 0 = 2*b - c, 2*h - 334 = -0*b - 4*b. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7996 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 304143 (base 6) in base 2?\nAnswer: 101111010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 0, 3 in increasing order.\nAnswer: -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + ((-14)\/6)\/(-1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1230073 to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18712 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20100111000 (base 3) to base 11\nAnswer: 85a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142*t**3*v**3 + t**3*v + 273*t*v + 2418*v**5 - 2630*v wrt v.\nAnswer: 852*t**3*v + 48360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5267, 10563, 15861, 21161, 26463, 31767?\nAnswer: 37073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-6))\/(-5)*0. Suppose -2*v = i - 11, h*v + 2*i + 32 = 5*v. Calculate the remainder when (-2 - 5)\/((-1)\/3) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 3740 in descending order.\nAnswer: 3740, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4\/7, 7\/5, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 15, -0.03, 0.1, -2, 2\/189?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*h + 145*h - 7040260. Suppose -7*g + 27*g - h = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 602 = 2*p. Let y be p\/63 - (-2)\/(-9). What are the prime factors of (-93)\/y - 10\/(-25)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4941772 rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -9.5. Let o = k + 3.5. What is the nearest to -1 in o, -2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/5)\/f**(-6\/11)*f\/f**2*f**(1\/2)*f assuming f is positive.\nAnswer: f**(49\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -40072?\nAnswer: 40076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w**2 + 5. Let j be (-1190)\/(-245) - 1\/(-7). Let f(k) = k**3 - k**2 - 7. Let c(l) = -2*l - 3. Let g be c(-5). What is g*s(a) + j*f(a)?\nAnswer: -2*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -4 (c) 227 (d) -200 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -22, -6 in ascending order.\nAnswer: -22, -6, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 10) + (-4 - 2) + 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/2, -13, -3\/2, 2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 16 = 0, -2*a - u = -a + 1664. Round a to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at least 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 12 - 96 = 0. Suppose 6*t + 8 = 4*t, -4*u + 5*t + 944 = 0. Calculate the least common multiple of z and u.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-10))\/(7\/70). Suppose 7*m = p*m. Let w = 3 - m. Solve -x - 3*v - 19 = 0, x + w*x + 6 = 2*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + z + 18 = -2*z, 5*z + 29 = -4*m. Let r = m + 2. Suppose 3*f - 10 = -r, -4*l + 1479994 = -2*f. What is l rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -10743.\nAnswer: -10743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/9)\/((-16)\/(-96))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 3189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -909.72 - -875. Let w = k - -34. What is w rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5782 divided by 2.\nAnswer: 2891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -30703.\nAnswer: -4\/30703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.186 + -0.22. Let t = v - 2.966. Which is the fourth smallest value? (a) t (b) 0.3 (c) -2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**3\/3 + 6*m**2 + 14*m - 85. Determine u(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12c2 (base 13) to base 6.\nAnswer: -20245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000309 to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**8\/336 - n**5\/60 - 9*n**2\/2 - 5*n. Let s(b) be the first derivative of q(b). Find the third derivative of s(l) wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (602\/14 + -30)*6\/195?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 124701111\/5 and 24940223 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c*n**4 + 6*c*n**2 - 236*c*n - n**4 wrt n?\nAnswer: 60*c*n**2 + 12*c - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = r. Suppose -12 = -y + 5*y, 0 = -4*w + r*y - 21. What is the least common multiple of 5 and (-1)\/(-3) + (-60)\/w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/7))**(-31)*(l**(-1\/2))**(-39) assuming l is positive.\nAnswer: l**(335\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1)*(-6 + 9 + 4)*(25*d - 12*d + 2 - 8*d).\nAnswer: 105*d + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001024451964 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-46)\/(-26) - (5 + -3). Let g(p) = 12*p - 796. Let d be g(66). Let s = 1 + -7\/6. Put s, d, w in decreasing order.\nAnswer: s, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 3*o**2 - 3*o - 2. Let m(r) = -r**3 + r + 1. Determine -3*m(f) - p(f).\nAnswer: f**3 + 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12595 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/10 - 27\/20. Let i = -7.8 - -0.8. Let l = i - -7.1. Which is greater: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**5\/5 - 523*v**4\/18 + 821*v**3\/27 + 13*v**2 - 4373. Let r(y) = 0. What is y?\nAnswer: -117, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 6*z - 1. Which is the smallest value? (a) z (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 2*j - 3. Let i be k(-4). Suppose i*s - 52 = -7. Is (-2)\/9 - (-929)\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -34*v**3 - 2653*v**2 - 76*v + 150. Determine t(-78).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-1)*-1 + 0. Let w = 3 + -4. Which is the second biggest value? (a) w (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 117596176 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**6\/120 - 7*r**5\/60 - 5*r**4\/24 + r**3\/2 + 5*r**2. Let c(i) = -2*i + 12. Let w be c(9). Give f(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = b + 5, 0 = 2*b - 4*b - n - 1. Let z = b - -4. Suppose z*j = -3*j. Which is smaller: 4\/9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1 - -7 - 1. Suppose 2*m + 5 = x*m. Let y be 3 + 1 + -5 + 3. Which is smaller: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 1, 10.9, 2\/7, -4 in decreasing order.\nAnswer: 10.9, 1, 2\/7, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from uuwffuiffuuuwwf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.13, -1\/9, 0.011?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from jleiy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11073461 = 11*y - f, -5*f + 2013398 = 6*y - 4*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2012 - 310210201?\nAnswer: -310212213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*d, 2*d + 313 - 318 = 3*u. Sort 1, 11, -4, u.\nAnswer: -4, u, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -2 + 1 + -1 + -10 + -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14100046 - 62?\nAnswer: -14100141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 83*w**2 - 8*w. Let h(t) = -t**3 - 4*t**2 + 7*t - 1. Calculate -h(b) - v(b).\nAnswer: 2*b**3 - 79*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -1\/6 (b) 9 (c) -4 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 8*k = 12*k + 1412, 3*a = 4*k + 1064. Suppose 0 = -341*l + a*l - 175. Solve v = 27 - l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -10*j**2 + 13*j - 11. Give n(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1651.17 and -1.2.\nAnswer: 1981.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1946387?\nAnswer: 149, 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.4, -147, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -81 (b) -1\/4 (c) 6 (d) 1.2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**2\/7 - 132*p\/7 + 684\/7 = 0.\nAnswer: 6, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9855 and 7957.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 7*d - 2. Let b be m(6). Let n = 0 + b. Let l(o) = 0*o - 4 + n + 4 + 2*o. Calculate l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - y + 15 - 64 = 0, -r + 5*y = 2. Calculate the highest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Solve 3*r + 18*r**2 + x*r - 21*r**2 = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8135654810 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**4 - a**3 - a - 1. Let h(q) = 4*q**4 - 3*q**3 - 3*q - 3. Let w(b) = -h(b) + 3*i(b). Factor w(n).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11284 and 6448.\nAnswer: 45136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*c**3 + 3*c**3 + 36*c**3 + 4*c**3.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -43 (c) -2\/7 (d) 0.3 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*u = -8, -10*u + 8*u - 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*x - 61, x = 4*t + 29 - 82. Let v = t + -10. Sort 2, v, -3 in descending order.\nAnswer: v, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*r = 2*r - 164, 100 = -3*z + 2*r. Which is greater: z or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -133080495*m**6 - 1215192306*m**2 wrt m.\nAnswer: -15969659400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/11 = 4.5945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -124, -127, -140, -169, -220, -299, -412?\n\"Answer: -s**3 + s**2 + s - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1461?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - (-77)\/(-28)) + 8\/(-32). Suppose -4 = -z + 11. Solve -m + 15 = -h*u - u, -5*m + z = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p + d = 78625, 4*p - 2*d - 157278 = 0. What is the ten thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27.22*1173\nAnswer: 31929.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/4515 - 1294\/4515. What is the closest to -0.1 in w, 0.3, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32942297 is divided by 16471147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j + 4*j - 12*j. Let p(z) = 42*z + 2. Let f be p(2). Let q(t) = -86*t + t**2 + f*t. Give i(q(r)).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.83 - -7.62976. Let w = -0.2 - o. Round w to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -131*n + 32390. Give g(248).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*f**2 + 2 - 90*f**2 + 12 in the form a + x*f + h*f**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63842161?\nAnswer: 227, 281243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000044712474 to 6 dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -9.031?\nAnswer: 8.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 279259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5409*d**4 + 1574*d**2*r - 81*d*r - 2*d + 300*r - 42 wrt d.\nAnswer: -64908*d**2 + 3148*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 354551 (base 9) in base 2?\nAnswer: 110100000101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26186104069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 9 = -14 + 27, -5*q + 136 = 4*h for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 = -2*m, 0 = -2*m - 2*y + 10 - 0. Let d be m\/(6\/21) + -1. Let h = d + 4. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104200.\nAnswer: 2, 5, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-16) - (-665)\/456.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (183 + 39 - 461)*(-1 - 2*b + 0*b - 1)*(-8 + 1 + 28 + (-4 + 4 - 1)*(1 + 1 - 5)).\nAnswer: 11472*b + 11472","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 23, -3, -2 in increasing order.\nAnswer: -5, -3, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(3520) - ((sqrt(3520) + 5*sqrt(3520))*-3 + sqrt(3520)))\/((4*(sqrt(25) - sqrt(625)))\/sqrt(5)))**2.\nAnswer: -72*sqrt(11) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -28, -75, 8 in descending order.\nAnswer: 8, 2, -28, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 77 = -a. Let r be (-371)\/a + (0 - (-4)\/22). Solve x + 7 = 5*n, 0 = -r*x + x + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 32*f**2 - 2*f. Let p be q(-1). Suppose 29*c + 1795 = p*c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3095908? (a) 4 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -273 + (-7)\/((-49)\/14). Let z = -269 - w. Solve z - 17 = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3\/45 + 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (5 - -7) - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -3) + 2 + (4 - -5) - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*q - 23 = -3*k, -4*k = -q - 53. Calculate the highest common divisor of k and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 6*h - h - 33, 5*h - 3*i = 13. Solve -4*n = h*o - 7 - 11, 3*o - 16 = -5*n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from zhzzzhzhrrhzhhrzz?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 39110 (b) -159 (c) 3\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.05 + -0.05. Let d = 27.2 - l. Let g(o) = -o**3 + 3*o**2 + 2*o + 3. Let r be g(4). Which is the closest to d? (a) 0.1 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from {e: 1, z: 4, n: 1, s: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. Let z(w) be the third derivative of w**6\/120 - w**5\/60 + w**4\/8 + 5*w**3\/6 - 493*w**2. What is the remainder when z(b) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -1.51.\nAnswer: 3.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.01 (c) 5 (d) 0.1 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408497.3213 rounded to the nearest 1000?\nAnswer: 408000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.3, -0.039, 6\/37?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5159547136 to the power of 1\/3, to the nearest integer?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/19 - 31\/57. Are q and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 417\nAnswer: -28\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 80*o - o**2 - 1\/12*o**4 + 3\/2*o**3 + 0. Calculate f(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/32 and -73\/153540?\nAnswer: 1228320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 70.4 (b) 0.5 (c) 0.3 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3050 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 8:22 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/32*3760\/(-1645)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tknt when four letters picked without replacement from {n: 1, d: 1, t: 2, w: 1, k: 5}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.072.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*f = 5*f + 12564, 12564 = 2*a - f. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0513948 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.1 + 6. Let s be 38\/(-3) + (-4)\/(-6). Let p be (-1 - s\/9)\/(-1). Which is the third biggest value? (a) 0.2 (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 10:13 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-four fifths of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/9, -0.01, -1, 69390\/37, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**6\/30 + 13*u**2\/2 + 7*u. Differentiate p(n) with respect to n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13070 = 7*j + w, 5*j - w - 2280 = 7054. List the prime factors of j.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knv when three letters picked without replacement from {v: 1, k: 1, o: 2, n: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000111020 + 102?\nAnswer: 11000111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*l + 14*l + 5*s + 9, s = 7*l - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14441411 (base 6) to base 2.\nAnswer: 1111010110110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 405*r**2 - 13437*r + 13035.\nAnswer: -3*(r - 79)*(r - 55)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*b**5 + 440088*b**4 - 46*b**2 - 3852*b?\nAnswer: -900*b**2 + 10562112*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 803, 815, 835, 863, 899, 943?\n\"Answer: 4*f**2 + 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6988.07 - 6987. Let z = 801.93 + -798. Let w = z + j. What is the closest to -0.1 in w, 0.3, -18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-4)\/6)\/(-1))\/((55\/(-585))\/11). Are f and -29 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -920660 (base 10) in base 13?\nAnswer: -263090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 848, 1722, 2634, 3590, 4596, 5658, 6782, 7974?\nAnswer: 9240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**4 - 3*b**2 - 9*b - 3. Let a(h) = h**5 + 2*h**4 - 2*h**2 - 8*h - 2. Let c(t) = -3*a(t) + 2*l(t). Find the second derivative of c(g) wrt g.\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.257*0.3\nAnswer: 0.0771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1845, -1846, -1847, -1848, -1849, -1850?\n\"Answer: -b - 1844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Let k = -160 - -160. Put -3, p, k in descending order.\nAnswer: p, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -95835 and -95836 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/88 and -13\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 53*a**2 + 113*a + 176. Calculate the remainder when o(55) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -2. Suppose 6 = 4*b - 5*p + u*p, -b - 9 = 5*p. Put 7, b, -4 in ascending order.\nAnswer: -4, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - o - 1. Let w(t) = 98*t**2 + 4*t + 7. What is -6*d(l) - w(l)?\nAnswer: -92*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 5. Let n(m) = 6*m + 10. Give -5*b(d) - 3*n(d).\nAnswer: -3*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, c: 5, o: 2}. Give prob of sequence ccoc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**4*x*x\/(x*x**39\/x)*x*x\/x**10)**(-5\/11) assuming x is positive.\nAnswer: x**(1615\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/11)\/(-2*7\/(-21)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 491, 2740, 6769, 12578, 20167, 29536, 40685?\nAnswer: 53614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6) - (-10)\/(-3). Let k be (161\/14 - 9)*48\/(-280). Which is the nearest to i? (a) 0.1 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 1057.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v - 19*v**4 - 5*v**4 - 9*v**4 - 4*v**4 - 3*v**2 + 3*v**2 + (2 - 2 - 2)*(v**4 - 3*v**3 + 3*v**3).\nAnswer: -39*v**4 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/sqrt(6)*-5)\/sqrt(9))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/75 in 9, -22, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**2 + 0*w**2 - 6*w**2 - 598 - 608 + 925. Let p(b) = 2*b**2. Determine p(z(v)).\nAnswer: 450*v**4 + 16860*v**2 + 157922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p - 3. Let x be h(1). Let l(j) = 17*j**3 - 2*j**2 + 1. Calculate l(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-10) + (-3328)\/(-65). Let n = -46 + c. Suppose -45 = -b + n*t + 36, -5*b - 4*t + 376 = 0. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -4*m - 18, 9 = 3*u + 2289*m - 2294*m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6541 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 838048.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -18. What is the nearest to -1\/2 in a, 3\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/5, 594\/7, -4, -2, 1.48?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -10. Suppose -15 = -2*d - a. Solve -4*i = d*j - 14, i + 6*j + 10 = j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d**3 - 8*d**2 - 10*d - 3. Let n(a) = 11*a**3 + 7*a**2 + 9*a + 5. Let i(l) = 3*n(l) + 4*o(l). What is the hundreds digit of i(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*y**2 - 90*a**3 - 15*a**2*y**2 + 50*a**2*y wrt a.\nAnswer: -6*y**2 - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -1. Let u = -0.117 + 0.117. What is the closest to y in u, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37700000 rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -76*w + 53. What is the remainder when v(-4) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 565520.9 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 - 4*d + 4*d + (d + 0*d - 3*d)*(2*d - 2*d + 2*d) - 2*d + 2*d + d**2 - 15868*d - 12*d**2 - d**2 + 16102*d to i*d + q*d**2 + n and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(3\/3) - -4. Suppose -4*o + 8 = -0*o + 3*k, 10 = -2*o - u*k. Let n = 8 - 0. Solve 3*w = o*h - w + n, -w = -h - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -5*b - 40, -4*b + 992*i = 988*i - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 40. Let c = 1 - n. Let u be ((-6)\/(-3) + -8)\/(-6). Solve -4*o - u - 7 = c, -2 = m + o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvohhhhsv. What is prob of sequence hv?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 20. Give f(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2301, 10723, 24761, 44415, 69685, 100571, 137073?\nAnswer: 179191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3751\/1023*(-324)\/132?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203 + 8*z + 12*z - 21*z)*(6*z**3 + 2*z**3 + 11*z**3).\nAnswer: -19*z**4 - 3857*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1661 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 203442 at most as big as 203556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g - 199 = 5*l, 3*l - 15 = -6*g - 7*g + 10*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from jkxxss.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15, -1, -18 in decreasing order.\nAnswer: -1, -2, -15, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t - 59. Let z be v(18). Let i(a) = a**3 + a**2 - 9*a + 17. Let u be i(z). Which is greater: u or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**6\/720 - j**5\/24 - j**4\/3 + 2*j. Let s(k) be the third derivative of a(k). Calculate s(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6142824 and 5589.\nAnswer: 1271564568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43062421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -1157, 4, -3, 0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10842)\/(0 + 1))\/(10\/30*-6). Calculate the highest common factor of 78 and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/13 + 77868*d**2\/13 - 757928178*d\/13.\nAnswer: -2*d*(d - 19467)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o - 3*o**3 + 5*o - 3 + 2 + 4*o**3 + 2*o**4 to the form i + g*o**4 + j*o**2 + r*o + c*o**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*(-2 + sqrt(931))*2 + -1)*-2*-4)**2.\nAnswer: -80640*sqrt(19) + 2159424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.9 + -19. Let o = 0.6 - z. Let d = -0.26 - o. What is the second biggest value in d, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -182 - -196. Suppose -4*v + 1960 - 224 = 0. Calculate the greatest common divisor of v and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 18*t**2 + t - 1. Let c be y(1). Let o be c - (-2 + 0 + 2). Suppose 4*p + 2 - o = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 22*(-2 + 1). Let n be -20*(-5)\/(j\/14). Calculate the highest common factor of 28 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28449 - 5?\nAnswer: 28444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1.296\nAnswer: -0.5184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 39*w**4 + 203*w**3\/2 - 201*w**2 + 133*w\/2 - 6 = 0?\nAnswer: -4, 1\/6, 3\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*u - 169, -127*j - 4*u = -124*j - 139. Sort j, 1, -26, 1\/4 in descending order.\nAnswer: j, 1, 1\/4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2865418 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4))**(1\/10))**(-3\/8)\/((w*w**2*w)\/(w\/w**4)*(w**0)**(-14)) assuming w is positive.\nAnswer: w**(-2243\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/8 - j**2\/8 + j + 3\/2.\nAnswer: -(j - 3)*(j + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 187. Let i(u) = -2*u**2. What is i(k(t))?\nAnswer: -2*t**2 - 748*t - 69938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 772 and 2057573?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25\/688 + 147\/688. Sort 4, 6, q, 1, -3 in increasing order.\nAnswer: -3, q, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -101977, -1, 131?\nAnswer: -101977","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219932727?\nAnswer: 3, 7, 1496141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048673 a multiple of 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 11\/12*t**4 - 1\/6*t**3 + 0*t**2 - 9*t + 0. Calculate r(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (sqrt(11) + 0)*-2*-6).\nAnswer: 4 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*j - 26 = 0, 6 = 4*x + 3*j + 48. Let r = x + 7. Let m = 1 - r. Solve m + 3 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -21 (c) 0.2 (d) -4\/7 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1973, -4037, -6083, -8111, -10121?\n\"Answer: 9*m**2 - 2091*m + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11\/7 of a week?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19055408 divided by 6.\nAnswer: 9527704\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 6*j + 2. Let o be s(1). Let l be 12\/(-5)*2*(-25)\/o. Solve -g + 4*g + l = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*q - 176. Let l be 154\/8 - (-33)\/q. Solve -5*m = -0*m - l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2188 or -0.2?\nAnswer: 1\/2188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 8:34 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/15 + 1\/5. Let k(l) = l**2 + 3*l + 2. Let f be k(-6). Suppose -f = 4*o - 8. Which is the nearest to w? (a) -0.3 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - 12*i**2 + 2*i + 29. Let k be j(9). Let o = k + -216. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z**(-20))\/((z*z\/(z**2\/z*z))\/z**(-5)) assuming z is positive.\nAnswer: z**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 28 = -3*i - 2*v, 0 = 3*i - v + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 12*j + 9)*(-2*j - 5*j + 5*j)*(-2*j - 4*j + 9*j) + (-j**2 - 4*j**2 + 2*j**2)*(3*j - 2*j + 2*j).\nAnswer: 63*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -8. Let i = f - -7. Let h(q) = -3 - q**3 - 2*q + 0*q**3 + i*q**2 - 4*q + 2*q**2. Determine h(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1677\/236 or 6?\nAnswer: 1677\/236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 41 = -5*r, -3*g + 3 = 7*r - 10*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 0*c**2 + 13 + 1\/3*c**3 + 4*c. Let r(a) = -a**2 - 5. Give -7*g(z) - 6*r(z).\nAnswer: -z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4 - 0) + 4)\/2. Let p(t) = -t - 16. What is p(k)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 252 = 4*m, -3*m + 166 = -0*m - 5*y. Let o(q) = q**3 + 7*q**2 + 5*q - 9. What is the lowest common multiple of m and o(-5)?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*((-714)\/85)\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (13 + -6 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 233\/(-699)*(-35 + -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/3966697 and -20\/637.\nAnswer: 51567061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let s(c) = c. Let t(x) = 4*l(x) + 5*s(x). Let r(a) = -8*a - 27. Let d(u) = -u - 3. Let z(b) = 18*d(b) - 2*r(b). What is t(z(h))?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + c - 3. Let m be i(0). Let r(s) = -5*s + 2. Is r(m) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 5144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-30))\/((-12)\/360)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41125*v + 41151*v - 650 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 - 3*b**2 + 4*b**3 - 5*b**3 + 2 - 6*b. Suppose -5*z - 6 = 14. Does 3 divide j(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12141 (base 15) to base 3.\nAnswer: -2221002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 713643*p**2 - 106*p - 430575277?\nAnswer: 1427286*p - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 5*t - 6. Let a be m(-6). Suppose -2*z + a*z = 0. Is z at most as big as 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 79, 72, 77, 100, 147, 224, 337?\n\"Answer: b**3 - 14*b + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-4)*9*(-9)\/81)\/((-8)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 4*c)*(2*c**2 + 0*c**2 - 3*c**2)*(14 + 27 - 9).\nAnswer: -96*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5080.376 litres to millilitres.\nAnswer: 5080376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 15 = -5*a - 0*a, 3*a = -2*f + 16. Suppose -2*b + a = -2. What is the third derivative of d**2 - 2*d**3 + b*d**3 - d**3 wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 37 (b) 118 (c) -1\/2 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51 + -47?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -14 - (1 + 8 + -49 - 0).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m + 2 + 5\/2*m**2 + 1\/2*m**3.\nAnswer: (m + 1)*(m + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**3 - 4*s**2 + 340*s + 344. What is d(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-17 - (52 - 13)) - -41.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -7*o - 23 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 41*z**3 + 62*z**3 - 30*z**3.\nAnswer: -9*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*f**3 - 114*f**2 - 2*f + 123201?\nAnswer: 63*f**2 - 228*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1337 and 0.06?\nAnswer: 1336.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*w)*(-2*w + 3*w + w) + (0*w - w + 3*w)*(-18*w - 22*w + 9*w) + (2 + 1 - 2)*(5*w**2 - 3*w**2 + 0*w**2) - 3*w**2 + 4 - 4.\nAnswer: -59*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 790 = -5743. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*0*(-3)\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(4 - 7\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2909570775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.1 + -4.3. Let x = k + 8.6. Sort -2\/5, 1\/10, x in ascending order.\nAnswer: -2\/5, 1\/10, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i**3 + 3*i**3 - 2*i**3)*(3*i + 7*i + 2*i) in the form l*i**3 + p*i**2 + j + u*i**4 + q*i and give u.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Solve -4*y = 20, -3*w - 10 = -4*w + r*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 79429.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 926, 1851, 2780, 3713, 4650, 5591?\nAnswer: 6536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.6690778ms?\nAnswer: 0.00004448463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 0*h - 6*h)*(-15890*h**2 + 7560*h**2 + 7739*h**2).\nAnswer: 5910*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 7) to base 8\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 5*i**2 - i + 6. Let a be o(4). Let r = 53 - 32. What is the lowest common multiple of 26 and a\/r - (-38)\/3?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 8:36 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1900) + -5 - (sqrt(304) + -2 + sqrt(304) + sqrt(304) - (sqrt(38)*2)\/sqrt(2))**2.\nAnswer: -1914 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32568?\nAnswer: 2, 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + f + 12. Let q be c(-3). Let a = 5 + q. Suppose -r = -4*n + 116, -n - 2*n + 110 = a*r. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 49 = 14*d. Let j be -7*4\/6*-3. Let k = 20 - j. Is k < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p + 132. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/36*4*-1*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**4\/4 + c**2\/2 + 2*c - 5. Let v be q(0). Solve -7*f = -v*f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 3:32 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-3) - (-5)\/((-15)\/(-9)). Let q(i) be the first derivative of 2*i - c*i**2 + 2 + 2\/3*i**3. Let q(b) = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*m**3 - 73*m**3 + 205*m**3 + 563*m - 68*m**3 to q*m + r + i*m**3 + p*m**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 891 and 428571.\nAnswer: 428571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 30, 1 in descending order.\nAnswer: 30, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.038523 and 4215.\nAnswer: 162.374445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {o: 3, p: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12922, -25359, -37796, -50233, -62670, -75107?\nAnswer: -87544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9985*l**2 + 40453*l - 39606*l + 805*l**2 wrt l.\nAnswer: 21580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10*u**2 + 131*u + 5. Let f(n) = -2*n. Calculate s(f(z)).\nAnswer: -40*z**2 - 262*z + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - -1 - (-7 - 0). Let b(r) = r**2 - 9*r + 8. What are the prime factors of b(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 5. Let s(c) = -c + 3. Suppose 3*t = 3*p - 21, 0*t = -5*p - 3*t + 19. Suppose -r - 3*n + 1 = 0, -r - 8 = p*n - 3. Give r*s(m) + 6*h(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 1630*b**3 - 5*b**2\/2 - 10*b + 23. Let m be w(6). Round m to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65\/3 + 22. Let r(i) = 3*i**3 + 4*i**2 + 2*i. Let f be r(-2). Let g be (f\/(-135))\/(6\/(-9)). What is the nearest to t in g, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + 3*y - 3. Let r be l(2). Let q = r + 7. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -5. Let o(a) = 2*a**2 + 6*a - 10. What are the prime factors of o(h)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 - -106.1. Let c = 2.9 + -3. Let y = c + d. Sort -3\/7, -1\/5, y in ascending order.\nAnswer: y, -3\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/7 (b) -4158521 (c) -3\/8 (d) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.1, -0.6 in decreasing order.\nAnswer: 6, 0.1, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 956786152 and 1992.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40, 78, 116, 154, 192?\n\"Answer: 38*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*n**2 - 2*n**3)*(20*n - 4*n + 0*n) + 3*n**3 - 2*n**4 - 3*n**3 + 1 - 1 - 3*n**4.\nAnswer: -37*n**4 + 32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 71 + 53 = 0. Let y(n) = n**3 + 19*n**2 + 15*n - 18. Calculate the lowest common multiple of y(r) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473659291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + p + 27 = 6*p - 3 + 8, 449 = -72*c + 5*p + 151 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120 - 98. Let v be a\/176 - (-573)\/24. What is the closest to 0 in v, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - 2*z + z)*(-z - 2*z + 0*z)*(-5 + 73*z - 71*z + 127) to the form j*z**3 + i*z**2 + f*z + t and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 516.9 at least as big as -4.858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Let a(g) = g**2 + 4*g - 8. Let o be a(2). Find the second derivative of y*s**o - 3*s**5 + 3*s - 2*s**4 wrt s.\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3561362 - -15861362. Round u to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342170271?\nAnswer: 3, 17, 107, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 17*z - 11. Let q be m(-13). Let u = -71 - q. List the prime factors of u.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -670069 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3360843*b**2*l**3 - 101*b*l**3 + b*l**2 + b*l + 8*l**3 + 6*l wrt b?\nAnswer: -6721686*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28589 + -8?\nAnswer: -28595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 808 - 28. Let k = -126 - q. Let g = 240 - k. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4128*n = -4125*n - 5*a + 15, -3*a = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/11)\/a**(-1\/9))**45 assuming a is positive.\nAnswer: a**(325\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 16. Let h be (n\/(-6))\/((-6)\/27). Suppose -4*q = -h*y - 18 + 1, q = -3*y + 23. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 - 1007363*g + 0 + 4.\nAnswer: -1007363*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*i + 152 - 192 = -2*z, -22*z + 5*i = -36 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {u: 5, g: 3, o: 2, y: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 2*q - 6. Let v(c) = -3*c**2 + 3*c - 9. What is -8*k(d) + 5*v(d)?\nAnswer: d**2 - d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125282, 1, -8, 4, -3 in descending order.\nAnswer: 125282, 4, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**5 - 752187*x**3 + 1430*x + 10 wrt x?\nAnswer: 20*x**3 - 4513122*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0 + 0)*(-5*f + 3*f - 2*f)*(3 - 5 - 11) + (0 + 0 - f)*(-3*f + 3*f + 2*f).\nAnswer: 102*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 7*g + 24. Calculate the remainder when 45 is divided by n(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a hour in seconds?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**(2\/127) assuming b is positive.\nAnswer: b**(-6\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 5. Let n be y(-2). Sort 2, 4, n in decreasing order.\nAnswer: 4, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 32*l = -36*l + 44, -4*n + l - 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(360) - sqrt(360))\/sqrt(9))\/((5*sqrt(72) + sqrt(72))\/sqrt(9)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -31355968*x. Let l(i) = 4*i. Give c(l(k)).\nAnswer: -125423872*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 24*a - 174. Determine f(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 - 270274*x**2 + 540540*x.\nAnswer: 2*x*(x - 135135)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134.557 + -134. Let k = -0.157 + p. Let m be 12\/(-2) - (-2)\/2. What is the third biggest value in m, k, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -8*w + 147. Suppose 30 = 3*v + w. Solve 0*h + v = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49+63593774160\nAnswer: 63593774209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-10) + 6\/15. Let s(l) be the third derivative of -l**4\/24 - l**3\/2 + 36*l**2. Let z(b) = -b**2 + 1. Determine v*z(c) + s(c).\nAnswer: -2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.08 - -1.08. Which is the nearest to f? (a) 0.5 (b) 21\/10 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -205, 1\/4, -1\/3, -13887, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -212*d. Let j(y) = 453*y - 22 + 22 + 452*y - 920*y. Determine j(u(o)).\nAnswer: 3180*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-5) + (-6)\/(-15). Let m = a - 6. Put 1, m, -4 in descending order.\nAnswer: 1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 + s. Let z be a(1). Let t(o) = -5 + 10 - z - 2*o**2 - 20*o**3. What is the remainder when 75 is divided by t(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1864196 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(0*d**3 + 0*d**3 - 2*d**4) + d - 15*d + 3*d - 2*d**4 + (1 - 3 + 1)*(5 - 5 - 2*d**4).\nAnswer: 4*d**4 - 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 505 - 501. Suppose 64*i = 68*i + y*p - 6284, -6284 = -4*i - 5*p. What are the prime factors of i?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 292110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42 + -42 - (20\/(-8))\/5. Sort -288\/11, -0.04, v in ascending order.\nAnswer: -288\/11, -0.04, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -494, -432, -346, -224, -54, 176?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 20. Let q(g) = g**3 - 10*g**2 + 9*g + 8. Let i(p) = -p**2 + 3. What is the remainder when q(j) is divided by i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*o - 4*a - 25, 4*o - 56 = -a. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4595678 and 675835.\nAnswer: 22978390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-7 + 1))*1. Solve -4 = 3*a - 0*j - 5*j, 0 = -q*a + 2*j + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i + 2*i**2 + 18 - 4*i**2 + 6*i**2. Let s(k) = -15*k + 606. Let r be s(40). Is 17 a factor of f(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**0*p)\/p)**40*(p\/(p\/(p*p**3)))\/(p*p**(-1\/4)))\/((p\/(p*p*p*p*p**(3\/7)*p)*p)\/p**(2\/3)*(p**0)**9) assuming p is positive.\nAnswer: p**(7337\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776733 to the power of 1\/2, to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:14 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -864444 + 294775144\/341. Let h = l + 18\/31. What is the second biggest value in 5, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:55 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1782, 1787, 1804, 1839, 1898?\nAnswer: 1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 64 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1)*(-1)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18680159.4 hours to weeks.\nAnswer: 111191.425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12826?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*((sqrt(200)*-4 - sqrt(200)) + sqrt(200) + sqrt(200)) + 1 + sqrt(200)*-2 + (sqrt(200) + 0)*-3)**2.\nAnswer: 260*sqrt(2) + 33801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -229*k - 2. Let n(s) = -29*s**2. Calculate n(a(p)).\nAnswer: -1520789*p**2 - 26564*p - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 185, 395, 605, 815?\n\"Answer: 210*y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/3)\/2*2\/(-40)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 33 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 4:48 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -5 + 15 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/((sqrt(3) - sqrt(12))*-2) - (2*(-1 + sqrt(405)))**2.\nAnswer: -1624 + 145*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/20 - 56\/(-60))*(-510)\/544?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 187*j**3 - j**2*t**3 - 7*j*t**3 - 41*j*t**2 - j + t**3 wrt j?\nAnswer: 1122*j - 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 23*s + 2. Let c(x) = -42*x + 1. Let o(f) = 6*c(f) + 11*w(f). Give o(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(637)*1 + 0 + -1 + -4)**2.\nAnswer: -28*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253015006.\nAnswer: 2, 47, 487, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*r + 10 = 0, -v = -162*r + 166*r + 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.189 + 0.631. Let k = 0.18 + v. Let h = k - 4. Sort -3\/7, -0.3, h in increasing order.\nAnswer: -3\/7, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 0.5, -1\/6, 0.15, 0, 394?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1391*1080.\nAnswer: -1502280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1938389 + a8?\nAnswer: 1938486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 - 13973*c**3 + 20711*c?\nAnswer: -40*c**3 - 83838*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15\/2, 339, -5\/19?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2432584, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15444*o**2 - 6686*o**2 - 1350*o**2 - 20531*o**2.\nAnswer: -44011*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462941761 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 900 and 120?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**3 - 34*j**2 + 297*j + 82. Determine p(8).\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 820853221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5463635000*s**4 + 15913500*s**3 + 15450*s**2 + 5*s = 0. Calculate s.\nAnswer: -1\/1030, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x + 13. What is the tens digit of a(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -4544?\nAnswer: 4551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -656 + 656. Let d = 32 - 35. What is the third smallest value in d, 1\/29, c?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9146.432 millimeters to centimeters.\nAnswer: 914.6432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 618 - 418. Suppose 4*n + 4*l - c = 0, 8*l + 15 = 3*l. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -29. Let q = y + 18.4. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 206831*b**2 - 34057*b wrt b?\nAnswer: 413662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 10:29 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -52124 divided by -173\nAnswer: 52124\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + -1 + sqrt(17) + sqrt(187)\/sqrt(396).\nAnswer: -1 + 7*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**5 + 631055*o**4 - 19911205120*o**3 - 19911836180*o**2 = 0.\nAnswer: -1, 0, 63106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2034 is divided by 106?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*n - 61 + 61)*(0 + 2 - 4)*(-5 - 2 + 3) + (-1 - 1 + 0)*(0*n + 2*n - 3*n).\nAnswer: 402*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 0\/3*2\/4. Suppose q - 407 = -5*n + 2*q, 5*n - 4*q - 398 = d. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*q + 0 - 6 + 6 as v + h*q and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 861613?\nAnswer: -4\/861613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 w when four letters picked without replacement from {q: 3, j: 1, w: 4, n: 5}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*i - 189776 = -160*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a, 3*k - 3*a = -0*a + 27. Let g = k + -8. Suppose -2 = -2*n + g. Solve -3*c = -2*c + n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 78 = 2*x + 21*q, 2*x - 3*q = 88. Let m(z) = 2*z**2 - 73*z - 87. Let b be m(x). Calculate the highest common factor of 94 and b.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335452141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n - 215. Let x be d(33). Solve 30 = 7*b + x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/126*3 - (-233497)\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -119256 + 2?\nAnswer: -119254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4017 times 0.81\nAnswer: 3253.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let r(d) = 7*d + 0*d - h + 4. Suppose 39*i - 35*i + 68 = 0. Let p(u) = -20*u - 6. What is i*r(n) - 6*p(n)?\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -111*h**3 - h**2 - 3*h - 1. Give a(-1).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1441 (base 8) in base 16?\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1041, -1346, -1649, -1950?\nAnswer: -2249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 275 - 170. Let h = c - 104.9999941. Round h to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 28*l**2 - 96*l - 31. Determine p(-24).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z + 26 - 193 - 19 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -13*d + 29. Let g be c(-9). Calculate the greatest common factor of 803 and g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.269 - 94655358.\nAnswer: -94655356.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21213111013 + -2?\nAnswer: -21213111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/148, -25, 10 in decreasing order.\nAnswer: 10, -3\/148, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/5))\/t**4*(t\/(t**(-1\/3)\/t))\/t*t*t**(-6\/7))\/((t**(-2))**(-13)\/(t**(2\/5))**(1\/8)) assuming t is positive.\nAnswer: t**(-11623\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/3)\/(30\/(-2745)). Determine a, given that 36*a**3 + 0*a + f*a**4 + 0*a - 76*a**4 - 12*a**2 = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u = -2550 + 20. What is the highest common divisor of u and 1166?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4913175 (base 11) in base 13?\nAnswer: -1a06977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*j - 23. Let h(o) = -6*o - 15. Let d(b) = 7*b + 15. Let z(t) = 5*d(t) + 6*h(t). What is the remainder when j is divided by z(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18330 by -12082.\nAnswer: 9165\/6041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 6 - 24 = 0. Suppose y = -h*y + 24. Solve -2*z + 1 = -s + 2, -3*s - y*z = 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (298 - (2 + -5)). Let a = q - -315. Calculate the greatest common factor of 333 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 11603*p + 498996. Calculate o(-43).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11966 divided by 378.\nAnswer: 5983\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, r: 1, v: 2, z: 3, o: 3, e: 1}. What is prob of sequence vez?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 304803 divided by -304803\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96029 is divided by 1412?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 431003?\nAnswer: 431002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/60 + 5*m**4\/12 - m**3\/2 - m**2. Let t be z(-11). What is the greatest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h**15\/h)*h*h**(-2\/3)*h\/(h\/(h\/(h**(-2\/5)\/h)))*h*(h**7*h*h)\/h*h assuming h is positive.\nAnswer: h**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 58455215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1182, 1232, 1282, 1332?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**13*d*d)\/d**(1\/8)*d**16\/(d**(-16)*d*d*d) assuming d is positive.\nAnswer: d**(351\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m - 26. Let r = 583 + -577. Let j(f) = -2*f - 9. What is r*y(u) - 17*j(u)?\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/6 - (-1)\/3. Solve -h = -i + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1033*s - 7227 - 5734 = -2631 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10275003?\nAnswer: 3, 1141667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -3)*43*(-13)\/(-7 + 20). Suppose 1080 = 5*b + 5*m, 5*b = 4*m + 1021 + 50. Calculate the greatest common factor of f and b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1741 - -1741.2. Is m greater than or equal to 1\/474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 32*q**2 + 66*q + 1692. Give o(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -14347, 0 in ascending order.\nAnswer: -14347, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 112 + 96 = 0. Let r(c) = 16*c**3 + 10*c**2 + c + 16. Let k(n) = -3*n**3 - 2*n**2 - 3. Let i(g) = h*r(g) - 11*k(g). Give i(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-6)\/v)\/v*v)\/v)\/v)\/v*v*v\/((v\/v**(-3))\/v)*(v\/((v\/(v\/(v**(-5)*v))*v)\/v))\/v*(v*v\/(v\/v**(-1)))\/v assuming v is positive.\nAnswer: v**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5726814?\nAnswer: 2, 3, 954469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -15, 1, 25, 57, 97?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.4? (a) 0.4 (b) -2\/815 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1584 and 336.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186\/43, 0.5, 0.3, -207, 18.\nAnswer: -207, 0.3, 0.5, 186\/43, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1492518.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-63)\/7 + (-17872)\/(-1168). Which is greater: r or 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -37*c**3 + c + 2. Let s(h) = -h. Let t(l) = s(l) + v(l). Differentiate t(o) with respect to o.\nAnswer: -111*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31276380 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8892 (base 10) to base 11.\nAnswer: 6754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 12*z + 2. Let i be t(12). Suppose i*m = 4*m + d - 55, 0 = -4*m - 5*d + 125. Suppose -19*x - m = -24*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 13) in base 9?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -1 - 8)*-2. Let v = -7 + z. Suppose v*g + 2 = 5*h + 1, 4*h + 5*g = 23. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183612.\nAnswer: 2, 3, 11, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 - 1. Let b(w) = -7279*w**2 - 97*w + 9. Let j(x) = -b(x) + 6*l(x). What is the second derivative of j(h) wrt h?\nAnswer: 14522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -883\nAnswer: 15011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s**4 + 1158440*s**2 + 3482047 wrt s?\nAnswer: -8*s**3 + 2316880*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 3:11 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490 divided by -22192?\nAnswer: -745\/11096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 2 = -18. Suppose 35 = 2*i - 5*a, -5*i + 3 + 32 = -c*a. What is the remainder when 11 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -877363720777.1 + 877366061250.7000108. Let b = 2340470 - f. Let s = -3.6 - b. What is s rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 747*g - 941 wrt g.\nAnswer: 747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -152, -4\/3, 1\/2, 0.08?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -29, -98, -209, -368?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 9 = -u - 2*w, -2*u = -4*w - 30. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 23 + 4 = -5*c, 0 = 5*f - 2*c + 20. Let i = f + 48. Suppose 0 = -5*x - 3*r + 117 + 121, -r = x - i. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emeem. Give prob of picking 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.4 + -16.8. Let w = v + 9. Let q = 0 - w. What is the biggest value in -3, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, -673, -8, 5, 20 in decreasing order.\nAnswer: 20, 5, -8, -147, -673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 6. Let u be p(-10). Let f = 24 + u. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*l - 5*b = 39373, 0 = -5*l - 2*b + 98389. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.164 + -436333?\nAnswer: -436339.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from {b: 2, i: 2, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -21, -40, -67, -102, -145, -196?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfffigvgvfgy. Give prob of sequence vfyf.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -10 + 1. Suppose -12 = -p - 2*f, -36 = -2*p - d*p - 4*f. Let k(t) = t**2 - 3*t**2 + p*t**2. Let n(a) = -3*a. Determine n(k(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135 + 129. Let f = 15.13915734 + -9.13915757. Let c = b + f. Round c to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1\/8, 0.36666?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 678403 + 1613836. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 25. Let l = d + -18. Calculate the least common multiple of l and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2\/6*(-23 - -428)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 2. Let l be q(-2). Suppose 4*b + b - l = 0. What are the prime factors of b\/(-2) - (-8)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -88444*j + 795997. Determine v(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5*k + 25, 2*x + 2 = 3*k - 3. Let 2*i + i**2 + 0*i**x - 2*i**2 = 0. What is i?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4139816 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61145*a*h**2 - 5150*a*h + 546284545*a wrt h?\nAnswer: 122290*a*h - 5150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/7 (b) -2\/19 (c) 663 (d) 0.1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 353494993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 minus 31109529269.6?\nAnswer: -31109529499.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3428 by -2.\nAnswer: -1714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + g - 3 - 2 = 0, g + 4 = r. Let t = r + -3. Suppose -a + 0*a + x + 6 = t, -a = 4*x + 4. Solve -2*f - a = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*f - 2*x + 54, -4*f - 2*x - 72 = 0. Let r be (-14)\/3*f\/(-4). Let k = r + 35. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 199050*d**2*t**2 - d*t + 15*d + 14*t**2 - 26 wrt d.\nAnswer: 398100*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 + 3*j**2 + 4*j**3 + 3*j**2 - 4 - 5*j**3 + 7 in the form b*j**2 + c*j + f + n*j**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d - 56. Let n = d - 11. Is 1 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 617*w*z**6 - 143152*w*z**5 - 506*w*z - 98303*z**2 wrt z?\nAnswer: 74040*w*z**3 - 8589120*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Let q = 7302 + -6844.7. Let i = q - 457. Which is the second biggest value? (a) i (b) j (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25653\/18108 + 3\/(-4). Let u = 14 - 20. Let h(t) = t**2 + 7*t + 8. Let l be h(u). Which is the closest to m? (a) l (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**6 - 350*x**4 + 41*x**2 + 9*x + 2?\nAnswer: 120*x**3 - 8400*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 plus 12933966?\nAnswer: 12933536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-3 - 1) + (5 - -6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -251, -392, -531, -668, -803, -936, -1067?\n\"Answer: h**2 - 144*h - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*-3*sqrt(121))\/sqrt(11))**2 + (2*sqrt(33)*5)\/sqrt(3))*-6.\nAnswer: -9504 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -48*n + 287325 + 287789 - 575597. What is k(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31383 and 57331035?\nAnswer: 2853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*q*u**4 + 15*a*u**2 - a*u + 3*q**2*u**3 - 46*q**2*u + 70*q*u**4 wrt u.\nAnswer: -24*a*q*u + 18*q**2 + 1680*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -243 from -0.3.\nAnswer: 242.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 5:26 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:31 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 15) + (6 - 0) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1484*k**3 - 17*k + 1018 wrt k?\nAnswer: -8904*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:53 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12577?\nAnswer: 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/25334 and 67\/112.\nAnswer: 1418704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -18, -34, -66, -120, -202?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 90463 in descending order.\nAnswer: 90463, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/2*(-24)\/30. Suppose 0 = r - 2*a - w - 3, 5*a = -2*r - 17. Let u be ((-1)\/(-3))\/(r\/3). Which is smaller: u or -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 11*w + 27. Let y(r) = 3*r**2 - 197*r + 143. Let s be y(65). Give q(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 0*z + 225*z**2 - 105*z**2 - 7 - 115*z**2 + 3*z. Is s(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*t - 581, -4*a + 3*t + 466 = t. Is 23 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**4\/4 - 2*h**3 - 7*h**2\/2 - 2*h - 2. Determine f(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2. Let l(r) = -139723038*r. Calculate l(u(a)).\nAnswer: -698615190*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and (1\/(-3))\/((-1)\/(-18)*-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1872*v + 31819. Determine x(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-30)*(-30)\/(-8). Let a(z) = -4*z + 6. Let k be a(-3). Let f = k - 15. What is the closest to t in 0.3, f, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636544061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**4\/4 - 15435*x**3\/4 - 15882615*x**2\/4 - 5447736945*x\/4 = 0.\nAnswer: -1029, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 15*b + 20. What is the units digit of x(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - (-1 - 4 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbfg when four letters picked without replacement from gbggusufxgsxxssssug?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5515629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x - x. Does 9 divide x*2\/(-8)*36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 4. Suppose -4*m = 17 - 1. Let i(l) = -3*l + 4. Calculate m*d(a) - 3*i(a).\nAnswer: a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-2\/3)*z)**(-5\/2))**(-36))**(-23))**(-1\/26) assuming z is positive.\nAnswer: z**(1380\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kukkkkuukuumduddu. Give prob of picking 2 d.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 291.7059738009 + -0.1738735209. Let n = v + -291.3421. Let b = n + -0.19. Round b to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 2 - 2)*(15 - 88 - 81 + (4 - 1 - 5)*(-1 + 0 - 1)) to y + k*q and give k.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssssss. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j + 49. Let m be s(25). Let a = 221 - m. Sort 4, 0, a.\nAnswer: a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 230*v**2 - 3*v + 9. Let g be a(-4). Let m = g + -14893\/4. What is the common denominator of m and -31\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x + 3. Let b(f) = -7*f - 2. Determine 4*b(k) + 3*h(k).\nAnswer: -4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d221 + 2?\nAnswer: -3d21d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 12 = 8*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564 is divided by 282.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -641 less than or equal to -641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*d + 348*d - 48*d + 2*d**3.\nAnswer: 2*d**3 + 613*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + -0.2. Let t = 11 + -8. Let d = t - w. What is the closest to 2 in -2, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8910.5659 - 8910. Let l = s + -0.611. What is l rounded to 3 dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -3 (c) -1\/2 (d) -360 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13620157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - e6c?\nAnswer: -e71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 4*c + 7*c)*(716*c**2 - 1422*c**2 + 18*c**4 - 16*c**4).\nAnswer: 12*c**5 - 4236*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -8, 5, 2\/1195, -1\/3, -3\/5, -2, 0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3313*z**2 - 38509*z**2 + 5625*z**2.\nAnswer: -29571*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -216e85 (base 15) to base 14.\nAnswer: -2d6708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4 + 6. Suppose 3*p - 1089 = -6*p. Let u = -113 + p. Solve 2 - u = v*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5461297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1682 + -1657. Solve 13*c = -6*c - d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7265?\nAnswer: 5, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3024877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w + 19 + 0*w + 7*w + 0*w**2 - w**2. Let u be i(14). Suppose -4*l = t - 30, -t + 0*l = -3*l + u. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 10 = -0*m - 3*m, -2*k = m + 4. Let r(x) = -47*x + 2. Let c be r(k). Suppose -s = 5*s - c. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-90)\/27*6\/(-4). Suppose 0 = q*k - k - 8. Find the third derivative of a**2 - 4*a**k + 2*a**2 - 3*a**3 wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(153)*1 + 0)*4 + (sqrt(170) + sqrt(170) + 1*sqrt(170) + sqrt(170))\/sqrt(10) + -5 + -4 + sqrt(153) + 3)**2.\nAnswer: -190*sqrt(17) + 6162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4350332 is divided by 150010?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 0)*(1 + -10). Let t = -16 + w. Factor -t*b**2 + 5 + 2*b**2 + 2*b**2 - 7.\nAnswer: 2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 7\/30*d**5 + 0*d + 7\/24*d**4 + 14*d**2 + 0*d**3 + 0. Find the second derivative of x(k) wrt k.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wolozooooolwolgl. What is prob of picking 1 l, 1 w, and 1 g?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b301 (base 13) in base 9?\nAnswer: 177340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2295, -3, -1 in descending order.\nAnswer: 2295, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5856808879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 105*z**3 + 11*z**2 + 6*z + 5. Calculate y(-1).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 11:52 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from oooopopooopwwpoo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + v**3)*(-v**2 - 3*v + 3*v) + (-262*v**4 + 133*v**4 + 130*v**4 + 181*v)*(-4 - 2*v + 4).\nAnswer: -3*v**5 - 362*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + f - 9, -3*v - 2*f - 3*f = 7. Let m be v\/(-6) + 8\/6. Solve -o = m - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 15*m**2. Let i(d) = 2*d + 3. Let g(a) = -a**3 - 9*a**2 + a + 6. Let c be g(-9). Let k(y) = -y - 2. Let s(r) = c*k(r) - 2*i(r). What is p(s(o))?\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 123?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-3))\/((-14)\/(-21))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*s - 159, 2*s - 164 = -4*t + 6*s. What is the remainder when t is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*p - 17, p - 22 = 3*p - 2*o. What is the units digit of p\/(-2)*10\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6492 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -25. Suppose 134 = -4*q - v. Let h = 28 + q. Which is bigger: h or -10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -434.2972406 - -679.297233. Let p = -245 + h. What is p rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -45*z + 5. What are the prime factors of f(-2)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(sqrt(882) - (sqrt(882)*-2)**2) + 5 + (1*sqrt(882))**2*-5*-2 + -5.\nAnswer: -63*sqrt(2) + 19400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4 - 3*c - 8 - c**3 + 11 + 5*c**2. Give s(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4340232 (base 5) in base 3?\nAnswer: 10210010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2991 from -98571.\nAnswer: -98571.2991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -46. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6a51 - 3?\nAnswer: -6a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17\/5, -3, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 434292 * -2.\nAnswer: -868584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 404309932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2696580 (base 10) in base 2?\nAnswer: 1010010010010110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**3*f))**11*(f*f**(-1\/15))\/f**11 assuming f is positive.\nAnswer: f**(-811\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74333 is divided by 1062?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -184*m**4\/3 - 7285*m. Let j(r) = 2*r. Calculate j(y(l)).\nAnswer: -1472*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 5:19 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + r**3 + 5)*(-5 + 1 - 3)*((-4 + 4 - 2*r)*(-8 - 8 + 8) - 1 + 1 + 3*r) as c*r + h*r**4 + g*r**2 + w*r**3 + i and give h.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1111012101?\nAnswer: -1111012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20525 - -14173. Which is smaller: 0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 4*i**2 + 3*i - 4. Let g be (-75)\/(-45) + 2\/(-3). Let x be g\/10 - (-153)\/(-30). Calculate t(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4526.269 kilometers in meters?\nAnswer: 4526269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 193*g. Let m(d) = -2461*d. Determine m(s(v)).\nAnswer: -474973*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3716 - 164*w + 3716 as r*w + s and give r.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -662*h**2 - 191 + 0*h - 659*h**2 + h - 661*h**2 + 1984*h**2 - 4*h**3 to z*h**3 + d*h + i*h**2 + w and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*m - 3, 0*f + 2*f = 4*m - 10. Let a be (f + -11)\/2 - 4. Let p(k) = -k**2 - 9*k. Give p(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (12 + -18 - -15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/5)\/o)\/o)**1*o**(-6)\/o**1)**29 assuming o is positive.\nAnswer: o**(-1247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -46 + -7 + 7 + -5 - (-10 + 23 + -3)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 2\/7 (c) 1\/12221330\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1166308 and -37\/104.\nAnswer: 2332616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o. Let d = -7 + 9. Let h(t) be the first derivative of 2*t**2 + 3 - 2*t**d - t**2. Determine h(k(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000740837 to 5 dps.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*c + 5*c. Let i(o) = -o**2 - 45*o**2 - c*o**2. Let n(f) = -f**2. Let h(d) = i(d) - 39*n(d). Let a(r) = r. Calculate h(a(k)).\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/6*304\/12. Suppose -2*h = 5*a - 1807 + x, -5*h - 317 = -a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/5*n**4 + 375 - 144\/5*n**3 + 720*n + 1578\/5*n**2 = 0.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*k = 2*q - 16, -5*k + 20 = -4*q. Let s = -0.3 - -1.3. Let c = s + -4. What is the smallest value in q, c, -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1198 less than 227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.5, 2, 43064, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 177 - 135. Solve -3*c + 6 = -5*f, -3*f - 10 + 4 = -m*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 373, 213, -21, -329, -711?\n\"Answer: -37*y**2 - 49*y + 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = j - 19238, -487*i + 486*i + 9629 = 3*j. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25\/14, 1\/5, 0.4, -0.4, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 4. Let z be r(-5). Let g = 0.01 - -3.99. Let t = 2 - 1.8. Which is the nearest to t? (a) -2 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -16*n**2 - 526*n + 99. Let m be r(-33). Solve 107*b = 118*b + m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 124*c - 119*c - 65. Suppose 3*t + 11 = -c. Let h(w) = w**2 - 4*w - 16. List the prime factors of h(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 1310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**29\/(((t**17\/t)\/t)\/t)*(t\/(t*t**(1\/2)*t))**(14\/13) assuming t is positive.\nAnswer: t**(174\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**3\/3 + 9*d**2\/2 - 2*d + 597. Calculate b(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p - 243 + 657 = 184 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 71? (a) 574.4 (b) -4 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/312 and -47\/12648?\nAnswer: 164424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16389*n**2 - 32761*n**2 + 16127*n**2.\nAnswer: -245*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -210.38 times -251\nAnswer: 52805.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**2 - 18*l**3 - 2*l**2 + 19*l**3 in the form j*l**3 + a*l + f*l**2 + u and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111\/7, -18\/19, -2, 0.017 in increasing order.\nAnswer: -2, -18\/19, 0.017, 111\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3279, -13091, -29451, -52365, -81839?\nAnswer: -117879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1144399 is divided by 190730?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.46*-443.38.\nAnswer: 203.9548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m - 4*m + 11*m - m to the form h + v*m and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 833630 and 1050?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -55*i - 161. Let c be n(-13). Let m = 1604 - c. What are the prime factors of m?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955*a + 49543 = 384*a for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/19 and -29\/114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -168, -302, -498, -762, -1100, -1518?\nAnswer: -2022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-14))\/(4\/(-14)). Calculate the common denominator of ((-4)\/(-12))\/(y\/(-75)) and -67\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 20*m + 76. Let f(j) = 37*j + 150. Let x(i) = -5*f(i) + 9*p(i). Give x(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 269 - 13. Calculate the greatest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**6\/60 - n**5\/20 + n**4\/8 + n**2 - 75. Let d(k) = -k**3 - 2*k**2 + 2*k. Calculate -2*a(x) + 3*d(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.43 * -2.\nAnswer: 4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 + 92*p**3 - 648*p**2 + 1360*p - 800.\nAnswer: -4*(p - 10)**2*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*x**3 - 574*x**3 + 1347*x**3 + 611*x**3 + 1553*x**3.\nAnswer: 2996*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9*(13984\/8960 - (-28)\/(-20))\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**5\/12 + d**3\/2 - 371*d**2. Let k(q) = -5*q**2 + 4. What is -3*j(g) + 2*k(g)?\nAnswer: 5*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 71. Calculate q(31).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -5*v - 50, 96*v + 10 = 101*v for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 4 = -18*v + 4*q, -v - 2*q + 11 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + t**2 + 1. Let j(a) = 3 - a + 0 + 3*a**2 - 11*a**3 + 6*a**3. Give -3*g(x) + j(x).\nAnswer: -2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3\/(-42) + (80 - (-641333)\/(-8085))?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/4 + (-2 - -2) + 3. Suppose -3*d = -n*p - 561, -d + 771 = 3*d + p. What is the tens digit of d\/14 - (-12)\/42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 159*w**3 + 4*w**2 + 4*w + 4. Let o(u) = 32437*u**3 + 815*u**2 + 815*u + 815. Calculate 815*b(n) - 4*o(n).\nAnswer: -163*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*p**3*t**3 + 27255*p**3*t - 12*p**2*t**3 - 32*p**2*t - 3*t**3 + 9*t**2 + 1 wrt p?\nAnswer: 150*t**3 + 163530*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 413849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + t - 1. Let p be b(2). Let n be 12\/(-1)*1\/(-4). Let i be n + 26\/91 + (-514)\/(-14). Calculate the highest common divisor of p and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127493 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -523.13 rounded to the nearest 10?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c - 77 = -30*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 7*n**4 - 42202*n - n**3 + 8*n**4 - 5 + 42200*n to the form w*n**3 + x*n**4 + a*n**2 + b + f*n and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143\/194 or -1?\nAnswer: -143\/194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 8:13 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 3*l + 9, -28*l + 33 = -5*c - 18*l - 21*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 19*i + 1. Let z be a(-9). Let y be 317\/(-3) + (-2)\/(-3). Let x = y - z. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*i + 5, 4*r + 2*i = 1670. Let g = r + -79. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 2*h**3\/33 - 34*h**2\/11 + 675. Determine k, given that v(k) = 0.\nAnswer: 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 683676 and 4329948.\nAnswer: 12989844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 16, -2*n - 15*i = -20*i - 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*z - 38*z + 19*z + 95 + (-z + z + z)*(0 + 0 + 2))*(-z**2 - 3*z + 3*z) to the form j*z**3 + y*z + o + n*z**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160291083?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -1.3\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 + 3*g**2 + 0*g**2. Let w(k) = -k**2. Give w(s(b)).\nAnswer: -49*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(1 - (-3)\/(-9)). Let x = t + -3. Suppose 5*k + 2*d = 12, 0*d = 2*k + x*d - 7. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 16414.\nAnswer: 32828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*l + 28 = 144*l. Sort 1, -3, -132, l in decreasing order.\nAnswer: l, 1, -3, -132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - 5*b - 2*b)*(0 + 0 + 5*b + (-4 + 2 + 0)*(-3*b + 3*b + 2*b) - 2*b + 0*b + b - 1 - 2*b + 1) to v*b**2 + g + u*b and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 - 521 = 11*j. Let r = -64 - j. What are the prime factors of 7959\/(-476)*-4 + r\/17?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - 5*j + 5*j + (-4 + 0 + 1)*(-3*j + 3*j + 2*j))*(3*j - 4*j + 2*j) + 2*j**2 - 5 + 5 as k*j + u*j**2 + f and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (65\/2)\/(57\/(-12)). Let z = u + -905\/76. What is the common denominator of z and -31\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592773 is divided by 182?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2577045196 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:35 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2783903*z + 2783224*z - 34629 = 0 for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 - 3*y**4 + y**4 + (-3*y**4 + 6*y**4 - 4*y**4)*(-2 + 0 + 1) + 2*y**4 + 3*y**4 + 5*y**4.\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1126*o**2 - 959*o**2 + 3092*o**2.\nAnswer: 3259*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1127804, -1127767, -1127730, -1127693?\n\"Answer: 37*l - 1127841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 9333, 24, -4 in descending order.\nAnswer: 9333, 50, 24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c**2 + 21*c - 2. Suppose i = m - 5, -2*i + i + 5*m + 3 = 0. Let l(q) = -8*q**2 - 20*q + 1. Let y(g) = i*l(g) - 6*s(g). Is y(-9) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + j = -2, 0 = d + 139*j - 134*j + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8890 and 6594.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/2222022 and 26\/3333033.\nAnswer: 6666066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in -343, 1, -3, 0, 9\/5, -34?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 777456 and 1872?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -16*m - 10. Let z(j) = -4*j. Let g(d) = -17*d - 3. Let q(a) = g(a) - 3*z(a). Calculate -10*q(c) + 3*u(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5556 - -5771. What is the remainder when i is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35731401 to the nearest integer?\nAnswer: 5978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 22.19329 centuries?\nAnswer: 26631.948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -412.\nAnswer: 411.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.2 + -15.2067. Round w to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 - 22093*c**2 + 44186*c**2 - 22093*c**2.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + a - 4*a - 15 = 0, 0 = v + 4*a + 13. Suppose -v*o + 2*o + 3 = 0, -4*o = 2*z - 46. Is (z + 0)*(0 - -7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 518 and 24344446.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 + 4*r**2 - 25*r**2 + 7*r**2 + 7*r**2 + 3*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069125?\nAnswer: 3, 5, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1071 + 3297 = x. Suppose 5*n - 67 = 4*s, -8*n = -6*n - 2*s - 26. Is x\/n - 4\/(80\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/565004 and 69\/9196?\nAnswer: 118085836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22148)\/3842 + (-24)\/102.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j + 28. Let o = 12 - j. Let r(a) = -a**2 + 22*a - 115. Let i be r(9). Solve i*v = o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 5, -53, 434, -5, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -26*k + 10. Calculate the remainder when b(-3) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.5, -10\/107?\nAnswer: -10\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 11. Let a be t(13). Let u(v) = -28*v - 3. Calculate the remainder when u(a) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a109 - -241?\nAnswer: a34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -535 - 0.902?\nAnswer: -535.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**4\/3 - s**2 + 12*s + 7. Let t(l) = 9*l**2 + l - 5. Let k be (-1)\/4*-2*-4. What is k*t(a) + 5*u(a)?\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 4958*j**3\/3 + 6648. Let p(s) = 2*s. Give d(p(f)).\nAnswer: 19832*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 2.28?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31.75? (a) 0.2 (b) 2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1827340803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6282 divided by -1\nAnswer: -6282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x\/x**(-3\/11))*x*x*x\/x**(-6)*x**(-5)*x*x*x\/x**(1\/4) assuming x is positive.\nAnswer: x**(241\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 133*l - 250*l + 110*l - 3 to d*l**2 + i + y*l and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11715287 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 2:14 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10305 not equal to -0.056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*g - g. Suppose 4*o = -o - 3*t + 7, -g*o + 7 = -t. Let w be (-2)\/7 - o\/(-7). Solve 0*d + 2*d - 4 = w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/4 + 903*b**3\/4 - 25299*b**2\/4 - 176067*b\/4 - 138105\/2 = 0.\nAnswer: -930, -3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 620\/120 - (-1)\/(-6). Let h = 2 + -5. Let b be 2*(0 - 5\/2). What is the biggest value in h, 3\/16, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -173 or -1567\/9?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72657 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -688186 + 688187.199938. Let i = k - 1.2. What is i rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -770, -1523, -2276?\n\"Answer: -753*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.872458 rounded to two dps?\nAnswer: 1.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s - 7*s - 14 - 3*s.\nAnswer: -29*s - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 8*u**2 - 13*u - 4. What is l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440 - 33664.73.\nAnswer: -33224.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 9:59 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 29840*c - 18903756.\nAnswer: -4*(c - 6761)*(c - 699)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1308889 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9361325 less than or equal to 9361321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*f + f. Let p(v) = 1 - 369*v + 121*v + 121*v + 126*v. Let s(g) = g**3 - 5*g + 5. Give f*p(r) + 4*s(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 91*u - 726. Let y be s(8). Which is the third smallest value? (a) -10 (b) -57 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140 + 155. Suppose -12*c = -x*c - 5*a + 155, 3*c + 2*a - 143 = 0. Suppose -3*q + 4*q - 24 = 0. What is the remainder when c is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/84 and -43\/278514.\nAnswer: 3899196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 4*x - 2*x)*(-1 + 2*x + 1) + (-3 - x + 3)*(-4423*x + 3321*x + 2791*x).\nAnswer: -1691*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, u: 1, o: 2, e: 3, h: 6}. What is prob of sequence hxe?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + 0. Let m = -94 - -94.2. Let h = l - m. What is the second biggest value in -1, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:44 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.89 or 10.01249?\nAnswer: 10.01249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141 - 8*l - 13*l**3 - 94 + 234 to the form m*l**3 + k*l + s*l**2 + o and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/41, -5410, 3\/5, -0.3, 1\/4 in increasing order.\nAnswer: -5410, -0.3, 2\/41, 1\/4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0028082 rounded to 4 dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 5, -1\/5, -3\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 356 + -428.8. Let v = -64.02 - o. Let x = -0.58 + v. What is x rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26460\/1134*(-12)\/(-154)*11*(-6)\/(-195).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30 - 1)*(-1 - -2). Let f = -218 - -316. Let r = d + f. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31617 and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 50 = 34*y + 2, -8*y = -5*r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*-1 - sqrt(108))*-3)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 242?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 11323 = -2*w + 3*v, 5*w - 4*v - 56604 = 0. List the prime factors of w.\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:53 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + d + 2*d + 229 - 229.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33696, 34112, 34538, 34980, 35444, 35936, 36462?\n\"Answer: t**3 - t**2 + 412*t + 33284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3) + (sqrt(18)*2)\/sqrt(6))*4.\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 21. Suppose -o - 3*w + g = 0, 5*w - w = 2*o - 56. Calculate the least common multiple of o and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 332222217784957 - -0.2.\nAnswer: 332222217784957.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1957, 1876, 1779, 1660, 1513, 1332, 1111, 844?\n\"Answer: -s**3 - 2*s**2 - 68*s + 2028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 = 781*d - 5606 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 2, k: 2, b: 1, n: 2}. Give prob of sequence bw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 4, -14, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 16*p**2 + 456*p + 2119. What is t(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 57\/5306?\nAnswer: 57\/5306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101365 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -98*b - 16205. Give u(-165).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358731 = -32*m - 5*m - 46340. Is m a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*x**2 + 308*x - 59*x + 9*x**2 + 57*x - 2 to q + c*x**2 + y*x and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, f: 3, j: 4, u: 5}. What is prob of picking 3 f and 1 j?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3.1*-169\nAnswer: -523.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010001 - -100?\nAnswer: 101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) 1\/6 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24814883?\nAnswer: 17, 449, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:31 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 375927\/11 + -34085. Let i = 90 - p. Let s = 0.05 + 1.95. What is the nearest to s in -3, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4e26e5e + 6?\nAnswer: 4e26e64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 308 + -153. Does 34 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2935*t**3 + 285*t**2 - 4*t - 6. Let l(y) = -2935*y**3 + 284*y**2 - 3*y - 4. Let f(q) = -4*l(q) + 3*n(q). What is the third derivative of f(v) wrt v?\nAnswer: 17610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1339*i + 13249. Give t(10).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 11290 in decreasing order.\nAnswer: 11290, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 150*x + 521. What is the units digit of a(89)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 1. Let q(g) = -g**2 + g - 10. Let o(y) = 6*j(y) - q(y). Let f be 2\/(-2) + 3\/(-1). Determine o(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*w**3 + 20*w**3 + 197*w**3.\nAnswer: 442*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(180) - (-3*sqrt(12) + sqrt(12))\/sqrt(6))**2.\nAnswer: 169\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(567)*1 + sqrt(567).\nAnswer: 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171) - (sqrt(475) + sqrt(475)*1)**2) + 3 - (sqrt(190) + -2*sqrt(190)*-3)\/(sqrt(90)*2).\nAnswer: -1897 + 47*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*g + 4*o, -3*g + 2 = -2*o - 18. Suppose 13*h + 28 = g*h. Let q = -3 - -5. Put -3, q, h in descending order.\nAnswer: q, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - p = -948198, 0*d - 2*p = d - 948193. Let c(n) = -216069*n + 4. Let s be c(3). Let h = d + s. What is h rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6271844 rounded to the nearest 1000?\nAnswer: -6272000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, 44, 140, 272, 440?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*t = -6, 5*t = -w + 4*t - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -3584, -2, 15 in ascending order.\nAnswer: -3584, -4, -2, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*g - 0*g. Suppose -2*r = -3*r + g. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4))**(-12\/5)\/((u\/(u\/(u*u\/u**(1\/5))))\/u**0) assuming u is positive.\nAnswer: u**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 15 + y + 17 + 15 - 37. Let w be m(4). What is the second derivative of -w*f - 19*f**2 + 74 - 74 wrt f?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3 + 768*z**2 - 59607*z + 1256742 = 0.\nAnswer: 34, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 226 = -62. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 3, 0, -10\/3, 4 in decreasing order.\nAnswer: 4, 3, 0, -10\/3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*i**6 + 29172*i**5 + 3671489*i**2 - 65.\nAnswer: -7440*i**3 + 1750320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 387631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1*(5\/2)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k*n + 5*k + 17*n + 12 wrt n?\nAnswer: 3*k + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28559400 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, p: 2, d: 7, r: 1}. What is prob of sequence apra?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.697 - -372.697. Which is the closest to 2\/9? (a) 2 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 146, 274, 598, 1184, 2098, 3406, 5174?\nAnswer: 7468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -a1a7371a?\nAnswer: -a1a73718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, 32, 5, 9, 8 in descending order.\nAnswer: 111, 32, 9, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 7*j - 2280 = 0. Suppose 18*c - j = -20*c. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2727337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 (base 11) in base 4?\nAnswer: 121132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-33)\/88)\/(2\/1))\/(213\/994).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 82*s. Let r(g) = -14*g. What is r(y(w))?\nAnswer: -1148*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -212.67801 - -3.935.\nAnswer: -208.74301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -739192*r**6 + 4*r**2 + 81778.\nAnswer: -88703040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a millimeter in micrometers?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1885269 is divided by 942445?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 4:29 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let a(l) = l**2 + 4*l - 4. Let s(d) = -d**2 - 3*d + 3. Let m(g) = 3*a(g) + 4*s(g). Give p(m(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 16984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:01 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3\/5 + 57732676*f**2\/5 + 173198064*f\/5 = 0 for f.\nAnswer: -3, 0, 14433172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 46\/(-18))\/((-4)\/(-18)). Solve 0 = -x*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 4*o**2 + 5*o - 6. Let j be f(3). Suppose -5*t + 4*t + 23 = j. What is the remainder when t is divided by (-9 - -21) + -1 + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2. Let i(h) = 4*h**2 - 25*h - 24. Let l(t) = 7*t**2 - 50*t - 44. Let c(k) = -11*i(k) + 6*l(k). Calculate r(c(a)).\nAnswer: 8*a**4 + 200*a**3 + 1250*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from {a: 11, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3104 divided by 714\nAnswer: 1552\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*s + 6*s - 10, -2*v = -s - 2. Find the second derivative of -j**4 + 311*j**2 + 6*j - 311*j**v wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 11 = -2*w, -7*w + 13 = -3*w - 3*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 3)\/(1\/(-5)). Suppose -2*v + m = -0*m + 14, -22 = 4*v - q*m. Let p be (-12)\/v*12\/99. Which is smaller: p or 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 282 - 141. Suppose 21*m + f = 540. What is the remainder when 51 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkpkpkkpk. Give prob of picking 2 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 59?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79690117 to the nearest integer?\nAnswer: 8927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/42)\/((-5)\/(-30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -199, -240, -5, 4?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**3 + 2*z**2 + 5*z + 1. Let x(k) = -4*k**3 - 2*k**2 - 4*k - 1. Give 5*n(y) + 6*x(y).\nAnswer: y**3 - 2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2995 + 2990. Suppose 0 = i - c, 2*i + 4*c - 8 = -2*i. Let w be 5\/10 - i\/(-6). What is the second smallest value in w, 2\/13, b, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -184*c - 1643 + 2195. Solve 0 = 5*n - 2*t - 18, 2*n + 5*t + 22 = c*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15506985047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*i**2 - 9*i**2 + 6*i + 10*i**2 to the form x*i**2 + f*i + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.88 + -28. Let t = 67.12 + -66. Let j = f + t. Which is the second biggest value? (a) j (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -304, 88, 2\/9, 1 in decreasing order.\nAnswer: 88, 1, 2\/9, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 4. Let t be m(6). Suppose -3*j - t = 1. Let i = j + 0. Let b(f) = 11*f + 1. Determine b(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1773500 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 714583 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: Let v = 205 + -201. Sort -4, 3\/2, 1\/3, v.\nAnswer: -4, 1\/3, 3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 16 = -24. Let v be -4*4\/k*4. Let i(s) = -2*s**2 + 16*s - 2. Let b be i(v). Put 0.2, b, -0.3 in ascending order.\nAnswer: b, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236 (base 7) to base 8.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.2, -17.4, 4, 1\/131?\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -263*f - 56. Is k(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = 57*u - 53*u. Calculate the remainder when 427 is divided by u.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = 4*y. What is the third biggest value in y, -3, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 13) + -7 + 18 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 10:53 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/6*1188\/16. What is the common denominator of 93\/4 and (v\/(-28))\/((-20)\/35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*o - 10*o - 21*o - 29*o to q*o + t and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*o**6 - 2*o**4 - 602015*o**3 + 827676201*o**2.\nAnswer: -12360*o**3 - 48*o - 3612090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*w - 2*m - 3*m, 5*m - 30 = 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-4\/5))*z)\/z**8*z\/z**(2\/11)*z*z**(-4\/9)*(((z\/z**(-1\/5))\/z)**(-10\/3))**1 assuming z is positive.\nAnswer: z**(-3511\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*1)\/(sqrt(5) + (sqrt(160)\/sqrt(4))\/sqrt(8)) - (-5 + (sqrt(8) - sqrt(968)*-2)**2).\nAnswer: -4227 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 19 - 7. Suppose 0 = -l - 0*l + 3. Sort l, w, -3 in descending order.\nAnswer: l, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 549, 5, 0 in decreasing order.\nAnswer: 549, 6, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -239 - -433. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + 3 - (-9 - (6 + -27)) - (23 - 25).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-2)\/(-12)*3. Let p = 12 + -2. Suppose 0 = -2*q - 3*a + p, -4*a = 5*q - 3*a - 12. What is the greatest common factor of q and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16321 - 5?\nAnswer: 16317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a microgram in nanograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11230 * 524.\nAnswer: 5884520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(55\/(-11)))\/(8\/(-4)). Which is bigger: 2\/3301 or o?\nAnswer: 2\/3301","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -3\/2 (c) -77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 765 and 768672.\nAnswer: 3843360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 11*l - 9. Let d(n) = -1. Let t(m) = a(m) + 2*d(m). Let i be t(-9). Suppose i*o - 2*o - 55 = 0. What is the least common multiple of o and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 20*k. Let j(a) be the third derivative of -5*a**4\/6 + a**3\/3 + 142*a**2. Give y(j(d)).\nAnswer: -400*d + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 83233.65kg?\nAnswer: 83.23365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 76. Sort q, 6, -2 in descending order.\nAnswer: 6, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16786 is divided by 193.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138901165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*n = 0, q - 4*n + 3741 - 3739 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1\/5)\/a*a*a**(5\/2)\/a*(a**(4\/5)\/a)\/a**6)**9 assuming a is positive.\nAnswer: a**(-261\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)*g*g*g*g\/(g*g**4*g)*((g\/(g*g\/(((g\/g**(1\/4))\/g)\/g))*g)\/g*g)**(-12)*g**(-1)*g**0*g*(((g\/g**(2\/3))\/g)\/g)\/(g\/g**4*g) assuming g is positive.\nAnswer: g**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2257\nAnswer: 5\/2257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uux when three letters picked without replacement from {g: 4, b: 3, x: 4, u: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -34. Suppose -99*w - 783 = 852 - 447. Does w = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {o: 1, r: 2, t: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -178?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7055 and 11985?\nAnswer: 994755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34085 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -10. Let w = -16 + x. Solve w = 5*l - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 185.\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/36)\/(-4*1\/3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.538, -37, 2\/7, -1\/7, -3\/8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8398 + -24587. Let o = q + 194377\/12. Let z = -7897 + 110631\/14. Calculate the common denominator of o and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26334, -25285, -24238, -23193, -22150, -21109?\n\"Answer: -f**2 + 1052*f - 27385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 21*q - 1. Let l be z(-5). List the prime factors of (-2)\/2 - (l + 1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/16574 and 41\/10.\nAnswer: 82870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630167 is divided by 172.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23165 and 7345?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2518109, 2518111, 2518113, 2518115, 2518117, 2518119?\nAnswer: 2518121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9712.378 millimeters to nanometers.\nAnswer: 9712378000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 + 10060*u**3 + 4799305*u**2 - 265740250*u.\nAnswer: 5*u*(u - 50)*(u + 1031)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - sqrt(3648)*-1)\/(1*sqrt(3)*-5)*-5.\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 6*r - 7. Determine z(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4204 is divided by 1370.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + h + 49, 2*n + 0*h + 42 = -3*h. Let j(g) = g**3 + 17*g**2 + 27*g - 23. Give j(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 23 - 5. Suppose -q - s = 5*w, 0 = q - 3*w - w - 36. List the prime factors of q\/(-12)*30\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 11:50 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 117\/2*8\/(-6). Let s be (-2)\/(-5) + c\/(-30). Is s\/((-9)\/3)*-18 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -17*d + 2. Let p be o(-3). Let r = -18 + p. What is the remainder when r is divided by (-3)\/6*(-11 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 0*g**2 + 2*g**2)*(-6 - 10 + 1 + (-2 + 0 + 3)*(-1 + 0 - 1))*(-13*g - 180 + 180).\nAnswer: 442*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*p - 107*q + 111*q, -3*q = -2*p - 5. What is the remainder when p is divided by 2\/(-5) - 24\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + -134. Let r be (13 - 2 - -1)*v\/(-8). Suppose -2*n + 19 = -r. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 2, h: 4}. Give prob of sequence hph.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 15, 8 in increasing order.\nAnswer: -1, 0, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7139 and 8016507?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 3*r + 5*r)*(2 - 3*r - r + 2*r + 43*r + 6*r + 3*r + (-3*r + 2*r + 2*r)*(2 + 1 - 1) - 4*r + 5 - 5).\nAnswer: 48*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.42962996 rounded to one decimal place?\nAnswer: -21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -21*v**2\/2 - 4546*v - 218106 = 0.\nAnswer: -378, -1154\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8878 and 193?\nAnswer: 8878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.76705297 rounded to 4 dps?\nAnswer: 1.7671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 6*j**2 + 24*j - 49. Let z be a(8). Let k be 3\/(0 + 1 + 0). Sort -5, k, z in descending order.\nAnswer: z, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*y + 31*y - 184. Suppose 0 = 3*z + 240 + 48. Let i be (-2)\/3 + z\/(-9). Solve -6 = -y*l + 5*c - 22, -2*l - i = -3*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00412*0.25\nAnswer: 0.00103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 7:42 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1732 + -1732.1. What is the closest to -2\/5 in -6, -23, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021221 + -112?\nAnswer: -1021333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 43 = 3*p, -2371*p + 8 = -2368*p - 2*g. Factor p*q - 21\/8*q**2 - 9\/2 + 3\/8*q**3.\nAnswer: 3*(q - 3)*(q - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 + -87. Suppose 2*z + 64 - 58 = r. Let n(l) = -2*l**2 - 2*l - 2. Give n(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmpc when four letters picked without replacement from {c: 4, m: 2, p: 9, t: 4}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333045381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 103955 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 13*y**2 + 2227*y - 6087. Determine u(-174).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1002210020 (base 3) to base 12\nAnswer: -10696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-4)\/10 + 163. Let v = -156 + o. Solve -11*w = -v*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 3*x - 2. Let s be p(-3). Let f = 3 + s. Let r = f + 6. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1947 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.1 and 2343.\nAnswer: 35379.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**2 - 22*j + 10 = 0.\nAnswer: 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/15)\/(6\/15). Is -9 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -9)\/((1716\/1846)\/(-66))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*1*3)**2 - sqrt(425)) + (sqrt(17) - sqrt(51)\/sqrt(3))*6 + 3.\nAnswer: -5*sqrt(17) + 3828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j + 4 - 3 - 6*j**2 + 4*j - 1 + 2.\nAnswer: -6*j**2 - 20*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -46 + (4 - 5 - -3). Let w = -44 - u. Factor 2\/9*v**3 + w + 2\/9*v**2 + 0*v.\nAnswer: 2*v**2*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 18*v - 27. What is n(20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 855*n + 7. Let c = -1045 - -1051. Is x(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 10) + (-57 - -43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 3:55 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1260 and 900.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 5*n + 22, -3*p - 1 + 0 = -5*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 575.2 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4*o - 4*k = 1, o - 3 = 2*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(832))**2*-1.\nAnswer: -7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 335015536 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1419, 5677, 12775, 22713, 35491?\n\"Answer: 1420*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 54*y + 24. Let v(x) = -62*x - 28. Let g(q) = -7*s(q) - 6*v(q). Let l(r) = -386*r**2. Give g(l(n)).\nAnswer: 2316*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = 4*r - 9*r. Let c = -379 + 534. Let w = c - r. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558.2901 hours in minutes?\nAnswer: 33497.406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/6*8 + 3\/(-3). What are the prime factors of ((-150)\/7)\/(3\/c)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 - -7.7. Let q = i - -11. Let w = q + -20. What is the nearest to w in 1\/3, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**4\/24 + 5*h**3\/3 - 2*h**2. Let u be w(8). Suppose u*c - 1377 = -475. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 193*n**4\/12 + 26*n**3\/3 + 3*n**2 - 29. List the prime factors of d(4).\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12891 + -12832. Put 4, 1\/8, b, 2\/21 in decreasing order.\nAnswer: b, 4, 1\/8, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 649, 605, 529, 421, 281, 109, -95?\n\"Answer: -16*d**2 + 4*d + 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 832*a**2 + 569*a**2 - 99*a**2 as l*a + x*a**2 + d and give x.\nAnswer: 1302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 108*y + 811. What is n(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19705619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14337 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -5\/32*x**4 - 3\/80*x**5 - 1\/4*x**3 + 1\/160*x**6 + 182 + 0*x + 1\/280*x**7 - x**2. What is m in f(m) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*f - 43*a - 80 = 551*f, 3*f = a - 16 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22968?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 3*b**2 + 4*b. Suppose 5*r - 87 = 2*r. Let x = 49 - r. Suppose 6*z = z - x. Calculate t(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22712035 to the nearest integer?\nAnswer: 4766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**3\/3 - 4*r**2 - 15*r - 41. Let o be w(-5). Solve o = -3*n - x - 17, -n - 3*x = -8*x - 21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - s**4 + 2*s**2)*(2 + 2 - 3)*(-3*s + 2*s + 1 + 2*s)*(6401 - 2453 - 2662).\nAnswer: -1286*s**5 - 1286*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -11493*y + 33634. Give g(3).\nAnswer: -845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -5*b**7\/42 - 5*b**3\/2 + 12*b**2. Differentiate m(o) wrt o.\nAnswer: -100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -58*r - 5. Let t(z) = z - 1. What is -f(s) + 6*t(s)?\nAnswer: 64*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**4 - 72475*j**3 + 1735980*j**2 + 7813780*j + 8103760 = 0 for j.\nAnswer: -2, 28, 14471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36629624 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 17*u = -12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/(-30)*(-26)\/182*7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h + 52. Let v be c(7). Solve -10 = q - v*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2117, -0.31 in increasing order.\nAnswer: -2117, -0.31, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2300928 is divided by 347?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12 and -5632906.46844.\nAnswer: -5632918.46844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80464 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 84888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**3 + 7*c**2 - 4*c - 25. Is 204 a factor of m(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 3\/2 (c) 48 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-16)\/(-6))*-2. Suppose -h*k + c = -13, 3*k - 2*c - 9 = -1. Suppose 3*v - z - 48 = -k, 5*v - 70 = -3*z. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24040*m**3 + 129*m**2 - 6?\nAnswer: -144240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5949 is divided by 248?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-21165)\/680)\/83*(-2)\/((-18)\/51)\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -37. Suppose -5*f + 14 + 1 = -b, -3*f + 6 = p. Let m be 4\/(-6)*(-6)\/4. Sort -1, b, m in decreasing order.\nAnswer: m, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 2 - (-87 - 21165\/(-306))?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 + 2*y**2 + y**2 + y**2. Let g(u) be the third derivative of 11\/60*u**5 + 0*u**4 + 0 + 17*u**2 + 0*u**3 + 0*u. Determine g(q(a)).\nAnswer: 44*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 5 = 8*b. Let f = 1 + 1. Calculate the lowest common multiple of b and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 15*i + 11. Let o be w(-14). Let f be 23*(-2 - o)\/(-1). Let s = 35 - f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -31*j**6\/60 + 11*j**5\/10 - 30*j**2 + 2. Find the third derivative of a(r) wrt r.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -10. Suppose 10*k - 11*k + 12 = 0. Let t be (v - k\/(-4))\/(-2). What is the highest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357086031121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.288 and 1.\nAnswer: 6.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 442*q = -445*q - 27, -c = -5*q + 3 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*i - 102*i - 5*t - 34, 0 = 2*i + t - 34. Which is the nearest to 0? (a) 1\/4 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*a + 345 = 0, 3*u - 986 = -225*a + 226*a. Suppose -295 = 2*q - 21. Let o = q + u. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -22*p + 31. Sort 3, -3, p, 0 in decreasing order.\nAnswer: 3, 0, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/15 + (-2714)\/(-590).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*v + 26*v + 32*v in the form a*v + p and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34318 - -34323. Let b(g) = -1 + 0*g**2 - 4*g - g**3 + 0 + g**2 + 4*g**2. Calculate b(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*39\/(-39)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 + 127 + 183 + 226)*(0 - 5 + 1)*(4*g**4 - 5*g**4 + 2*g**4).\nAnswer: -2288*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) -1 (c) 3 (d) -1\/2 (e) 1640\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*v + 77 = 0, 0*k + 114 = 2*k + 4*v. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -87, -93, -101?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {y: 3, c: 1, h: 1, p: 2, r: 3, j: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y + 80*y + 17*y.\nAnswer: 105*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 7*y**2 - 9*y + 10. Let r be x(8). Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k**2. Let j = -24 - -26. Let i(u) be the third derivative of -j*u**2 - 1\/24*u**4 + 0*u + 0 + 0*u**3. Give i(m(d)).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 8:35 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q - 100 = -32*q. Let u(a) = -q*a - 4*a - 19*a + 7*a. Let f(o) = -3*o**2. What is f(u(w))?\nAnswer: -3888*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/31, -4.61, 2\/39, -1\/9, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44000100 divided by 36.\nAnswer: 1222225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9948.8 * -0.259\nAnswer: -2576.7392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {z: 4, f: 2, s: 1, q: 2, i: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12492 + 15891. What is the remainder when f is divided by 1699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3568 and 2864?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1092657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*k**2*w + g**2*k**2 - g**2*k*w - 2*g*k*w - 71*g*k - 2*k**2*w + 412*k**2 wrt k.\nAnswer: -6*g**2*w + 2*g**2 - 4*w + 824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 6 = 3*x. Suppose -2*g + 2*i + 18 = 0, -16 - 21 = -5*g + i. What is the remainder when g is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2. Suppose -y + 44 = -d, 6*y + 217 = 11*y - 4*d. Let m(h) be the first derivative of y + 0*h + 1\/2*h**2. Calculate m(o(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -31. Let g(y) = -15*y + n - 13*y + 19 + 43*y. Let w(z) = -z + 1. Let x(l) = g(l) - 6*w(l). Find the first derivative of x(c) wrt c.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 3816460976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 4*i**2 - 16*i - 10. Let j be v(-6). Find the second derivative of 13 - 13*p - p**3 - 14 - 23*p**2 - j*p wrt p.\nAnswer: -6*p - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 13*i - 8. Is i\/10 + 868\/35 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11514 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, z: 4}. What is prob of sequence zz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -4094 and 0.\nAnswer: -4094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(15\/4)\/(((l*l\/l**(6\/13))\/l)\/l))**41 assuming l is positive.\nAnswer: l**(8979\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -233, -232, -231, -230, -229, -228?\n\"Answer: l - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + w - 6728, -4*t + 8593 + 381 = -2*w. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 136*q - 136*q + 17*q**2 as i*q**2 + y*q + d and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28846413 or 28846418?\nAnswer: 28846418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2. Let w(a) be the first derivative of a**5\/10 - 3*a**2\/2 - 1. Let o(x) be the second derivative of w(x). Calculate i(o(r)).\nAnswer: 72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/202, 0, 0.1, -5, -12, 11\/9.\nAnswer: -12, -5, -3\/202, 0, 0.1, 11\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243 and 5184.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 79*y**2 + 2413*y - 3542. What is v(-32)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6cb + -1?\nAnswer: 6ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 2*q**2 - q + 5*q**2 + (0 + 0 - 5*q)*(q - 4*q + 4*q).\nAnswer: -3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, -47, -5 in increasing order.\nAnswer: -82, -47, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in 7, -1\/7, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -20*q - 5. Let p be o(-4). Let y = -27 - -42. Suppose -2*b - 3*b = -4*i - p, 0 = -3*i + y. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 668 + -1766. Suppose 8*y - 4335 = 6*y - 5*u, 2160 = y + 5*u. Let q = y - r. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5912 is divided by 5630?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 7 - (2 - -9 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -512285 by 4.\nAnswer: -512285\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.606 and -1?\nAnswer: -0.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-4)\/(8\/210). Let a = -35 - y. Find the common denominator of 1\/3 and a\/(-15) + (-1)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16051 and 2485.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(54) - (sqrt(6) + (sqrt(12) - 4*sqrt(12))\/sqrt(2)))\/(sqrt(18)\/(sqrt(42)\/sqrt(7)) + (sqrt(3) - -3*sqrt(27))))**2.\nAnswer: 50\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7564815*p - 3964136?\nAnswer: 7564815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 124 + 8?\nAnswer: 12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + -6497d?\nAnswer: -6498d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60468974.\nAnswer: 2, 67, 311, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914130 is divided by 2356.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9378*b + 49308 = -4008 - 40464 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 15276\/13021?\nAnswer: 15276\/13021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13534284 - 0.1.\nAnswer: -0.23534284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17401352.\nAnswer: 2, 2175169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 99*t - 99*t + 218*t**3 + (-2*t**2 + 4*t**2 + t**2)*(4*t - t - t).\nAnswer: 224*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -18 - -519 - 2\/1*-2.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1519146 + 1519146.06999972. Let p = 8.2 - 8.27. Let z = p + i. Round z to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 607566 + -65?\nAnswer: 607501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 12:38 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 13 + z - 4 - 1 - 7. Let g(f) = -3. What is -g(b) - o(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 8*x**2 - 6*x - 15. Let l be m(7). Is (7 - (-96)\/l)*-853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + 5*((sqrt(475) + -3)*-4 + sqrt(475) + 2*(sqrt(475) - (sqrt(475) + 0)**2)) + 1.\nAnswer: -4682 - 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12779362*x - 10035804?\nAnswer: -12779362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13\/9 + -43\/36. Let z = -1 + 1. Which is bigger: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 5*k**2 - 9*k - 8. Let o be a(-6). Suppose 0 = -2*p + g + 18, -2*p + 4*g + 20 = -o. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13275*h + 3233 = 13336*h for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97210 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 22*k**2 + k - 3. Let j(w) = -2*w + 28. Let a be j(13). What is the units digit of v(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(88) + sqrt(88))\/sqrt(8) + -5 + -3)*2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/(2\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -257, -2, -1\/3, -1, -5, 4 in increasing order.\nAnswer: -257, -72, -5, -2, -1, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*h**3 + 128*h**2 - 10747*h wrt h.\nAnswer: -318*h + 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13950495 and 7020?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142 + 51535215?\nAnswer: 51535401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 35626768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 7:53 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.267 times -4?\nAnswer: -1.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 515275593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22, 143, 486, 1165, 2294, 3987, 6358, 9521?\n\"Answer: 19*p**3 - 3*p**2 - 3*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 74.24383 decades?\nAnswer: 8909.2596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 14*w**2 + 14*w + 20. Let i be c(-13). Let v(u) = u**3 - 6*u**2 + 13*u - 4. Is v(i) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83779.87m to centimeters.\nAnswer: 8377987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 26*w - 77. Let r(k) = -4*k**2 + 51*k - 152. Let y(q) = -5*g(q) + 2*r(q). What is the tens digit of y(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1615)\/(-315) - 1\/(2\/8) and -167\/30?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/25923326 and 55\/4713332?\nAnswer: 51846652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 2. Suppose -5*k - 155 = -10*k - 2*r, k - x = -3*r. Calculate the remainder when 123 is divided by k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 14*n**2 - 290*n - 98. Determine r(21).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4\/3 (b) 1.8 (c) 4\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-130584)\/42 - (-12)\/(-14). Let w = 8223 + k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -25 - 3) + -6 + -130 - -6?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = 6*k - 2*k. Let h = k + -5. Calculate the greatest common divisor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3691\/19 - 12102751\/62301. Let s = c - 30241\/2186. Let v = 140193\/22 - 6374. Find the common denominator of v and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.46*-1.5.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z + 2. Suppose 5*x = 4*f - 13, -2*f = 3*f + 5*x - 5. List the prime factors of p(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-15)*(-5*8\/56)\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.2. Let z = 1 - 0. Let d = -2 + z. Which is the smallest value? (a) n (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y - 7. Let m(g) be the third derivative of -g**4\/24 + 4*g**2 + 34*g. What is m(a(j))?\nAnswer: -12*j + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 15, 50, 101, 168, 251?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + 2*i**3 - 2*i**2 + (2*i - 2*i + 2*i**2)*(3*i - 5*i + 3*i) + i**2 - 10*i**3 + i**2 + 0*i**2.\nAnswer: -6*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -8*w**2 + 2 + 8 - 3 + 8. Calculate n(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*k + 14. Let u = 19 - 15. What is the remainder when u is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 1369*h**4 - 37*h**3 - 5475*h**2\/4 + 37*h - 1\/4 = 0.\nAnswer: -1, 1\/74, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 187*s**2 - 92*s**2 - 19*s - 93*s**2 + (-2*s + 2*s + 4*s)*(3 - 2*s - 3).\nAnswer: -6*s**2 - 19*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**3 - 3*d**2 + 3*d - 3. Let m(s) = s**2 - 42*s + 213. Let p be m(6). Let o(g) = 6*g**3 - 7*g**2 + 7*g - 7. What is p*o(y) + 7*h(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**6\/8 - 3*y**4\/8 + 3*y**2\/8 - 1. What is p in z(p) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4268427 to the nearest integer?\nAnswer: 2066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -1\/2, -0.3, 2, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 3*k**2 - 6*k - 4. Let s be r(-4). Let y = 88 + s. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -2 - (-18 - -24) - -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 11:27 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 4311224440?\nAnswer: -4311224420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2008 (b) -0.5 (c) -9 (d) 0.2 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11118445 and 3250?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4\/7, 3, -571, 0.3, -4\/3 in decreasing order.\nAnswer: 3, 4\/7, 0.4, 0.3, -4\/3, -571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15756625 (base 8) in base 15?\nAnswer: -4c4c05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 687911 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 third derivative of 479016600*a**4 + 519050632*a**2 wrt a?\nAnswer: 11496398400*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -238, -519, -800, -1081, -1362, -1643?\n\"Answer: -281*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(52\/70)*(-2160)\/(-216)*(-20)\/175?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f**3 + f**2 - f - 3622. Let t(w) = 6*w**3 - w - 5. What is t(r) - v(r)?\nAnswer: -2*r**3 - r**2 + 3617","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 41)*2\/4. Suppose -2*g + l = g. What is the remainder when 22 is divided by 8\/(g\/3) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*o - 0*o. Let t = 6 + o. Suppose 18 = 4*n - n. Solve -2*d - 5*j = 12, 3*j = -n*d + t*d - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 1. Let c(d) = 3*d + 4. Suppose 0 = 2*f - 8 - 0. Suppose 28 = -369*y + 371*y. Calculate f*c(l) + y*s(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 11*n**2 + 11*n + 13. Let f be c(-10). Suppose -o + 190 + 140 = g, 2*o - f*g - 670 = 0. Suppose -o = 27*b - 31*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*n - 284*n - 490*n - 447*n + 150*n to the form y + k*n and give k.\nAnswer: -1189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (3 + 1 - 22). Let n = -26 - g. Calculate the lowest common multiple of n\/28 + 296\/7 and 22.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 c, 1 i, and 1 k when four letters picked without replacement from {c: 1, i: 1, k: 1, v: 1, d: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 1, a: 1, u: 1, h: 1}. What is prob of sequence um?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/36*((0 - 2) + 1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111033 and 21827?\nAnswer: 2553759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -16*(1 + (-9)\/6). Let v(n) = n + 1 - q - 4 + 6. What is v(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 + 8*k**2\/7 - 18*k\/7 - 72\/7.\nAnswer: 2*(k - 3)*(k + 3)*(k + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7793.211 meters in nanometers?\nAnswer: 7793211000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141001311 (base 5) to base 8.\nAnswer: -2574154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 6*p + 2*p)*(0 + 6 - 4) + 3*p - 7*p + 2*p + 5*p - 3*p - 4*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29151 is divided by 14559.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5*t - 18, 0 = -t - 3*u - 29 + 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, p: 2, w: 6, c: 5, g: 1, y: 1}. What is prob of picking 1 p, 1 y, 1 e, and 1 c?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.428 - 0.067\nAnswer: 0.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4.2. Let a = m + 2. Let t = -2.9 + 3. What is the second biggest value in t, 0.4, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/6455 and -46\/65.\nAnswer: 83915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 473539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 82, 266, 592, 1084, 1766, 2662, 3796?\n\"Answer: 4*y**3 + 47*y**2 + 15*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0*f**4 + 0*f**3 + 10*f**2 + 0*f + 0 + 7\/30*f**5. Let h(l) = 2*l. Determine n(h(z)).\nAnswer: 56*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 853 - 559. Suppose 2*r = -r + l. Suppose 5*u - 3*u - r = 0. Calculate the greatest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -2*r**7\/21 - 2*r**6\/15 + 7*r**5\/5 + r**4\/3 - 4*r**3 - 31*r. Find g such that z(g) = 0.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 4 - (-8 - (0 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2965 - 2964.97234. Let j = 2.08934 + k. Let x = j - 2.24. Round x to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27, -285, -979, -2325, -4539, -7837, -12435, -18549?\n\"Answer: -36*j**3 - 2*j**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91\/22 + 100\/33. Let t = 2325 - 46513\/20. Calculate the common denominator of o and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -9 + (0 + -19 + 9 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 6 = 0, 5*i - 14066 = -5*x + 84419. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 9*r**2 + 5*r - 1. Let l be x(7). Let j = -9 - l. What is the remainder when j is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 8*y**3 + 2. What is the least common multiple of 2 and k(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25769, -101771, -228439, -405773?\n\"Answer: -25333*r**2 - 3*r - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7521?\nAnswer: 3, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8314360, -16628772, -24943184, -33257596?\n\"Answer: -8314412*w + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 25 + 46 = 0. Solve -k = 3*l - 6, 2 = -c*k - 5*l + 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/(-35) - (-1 + (-20526)\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -286*t**3. Let j(q) = 22*q**3. Calculate -5*g(f) - 66*j(f).\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -69 + 60 - (-1 - -17)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 3\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1736*t. Let w(f) = -2*f. What is w(i(d))?\nAnswer: -3472*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - 2 - 18\/8. Let r = 0.3 - 0.5. Let l be (-2)\/7 - (-1)\/28. Which is the nearest to l? (a) r (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/8)\/((r\/r**1*r)\/r))\/(r*r**(-1\/2))**28)\/((r**(-2))**(-31))**(30\/11) assuming r is positive.\nAnswer: r**(-16101\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (-7 + (20 - 24 - -19))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 - 155972*i**2 + 16*i + 623888 = 0. Calculate i.\nAnswer: -38993, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1023626.787 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -364*a**2 + 334358 - 334358 + 20*a**2 to the form k*a + m*a**2 + h and give m.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 927.4017 litres in millilitres?\nAnswer: 927401.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/2 + 6*r**3 - 9*r**2\/2 - 27*r.\nAnswer: 3*r*(r - 2)*(r + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2400 by -10.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -u**4*v - 30712*u**2 + 2*u + 55487*v wrt u?\nAnswer: -4*u**3*v - 61424*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/((z\/(z*z**2))\/z*z*z*z))*z*z)**24*(z*z**(-1\/9))\/((z\/((z**(-6)\/z)\/z))\/z) assuming z is positive.\nAnswer: z**(584\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10957768 divided by -1544?\nAnswer: 7097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(76)*6 + 3 + 3*((0 + sqrt(76))*-1 - sqrt(76)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9149227 rounded to two decimal places?\nAnswer: -2.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, q: 6, p: 1, s: 2, j: 4, x: 3}. Give prob of sequence kk.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11104*q**6 - 1991*q**2 wrt q.\nAnswer: -1332480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 32*o**2 + 2*o - 1. Let m(k) = -k**2 - 3 + 3 - 6*k + 5 + 3. Let d be m(-7). Is r(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666 is divided by 296.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n - 28*n = -84. Suppose 2*c = -4*c + n. Suppose 0 = 4*f + 4*h + c + 13, -4*f - 3*h = 15. Solve w = -f*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/64*(-1)\/(10\/(-8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*y - 2*y**3 + y**3 + 2*y**2 + 108*y - y**3 + 12*y**2.\nAnswer: -2*y**3 + 14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -10. Suppose -o*i - 15 = -3*t, 0 = 4*i + i - 5*t + 25. Suppose i*l = l, -2*n = l. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-16) - (-15 - 1573\/(-104))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 301500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152965 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8 - ((-14079)\/456 - 1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.93 - -0.07. Let f = 8 + -13. Let n = 2 - 2. Which is the closest to n? (a) -0.1 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 838 + -533. Let t = r - 291. Is t > 136\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*((-183)\/(-6) + -3). Let f be 10\/(-66) - 10\/q. Let j = -101.7 - -102. Which is the closest to f? (a) 0.4 (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 16, 38, 60, 76, 80?\n\"Answer: -b**3 + 9*b**2 - 4*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16064 - b**3 - 16064.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -10. Suppose -39 = b*o - 4*x + x, -4*o = x + 71. Let j = o - -22. Solve -m - 5 = j*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o - 648 = -79*o. Suppose -g + 5*g = c + 19, -4*c = -4*g + 4. Let w be (-2)\/(-4) + 3*(-30)\/(-36). Solve -g*j - o = -w*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76591 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 15. Let m(f) = -4*f - 59. Let b(u) = -7*u**2 - 100*u - 37. Let v be b(-14). Determine v*y(d) + 2*m(d).\nAnswer: d + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.5 and 1.849504378?\nAnswer: 6.650495622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-11 + 8 - -6)) + 12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 3. Let w(s) = 2. Let t(m) = 2*k(m) + 3*w(m). Let z(x) = 3*x. Let p(u) = -2*u. Let y(r) = -6*p(r) - 5*z(r). What is y(t(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 23*a - 46, -17*w + 35*w - 15*w + 4*a = 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31856424.\nAnswer: 2, 3, 1327351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x - 2*x + 2*x)*(x**3 - 10*x**3 + x**3) to the form t*x + z*x**3 + h + f*x**2 + g*x**4 and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 61. Which is the closest to -5? (a) 4 (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q**3 + 53*q**2 + 19*q**3 - 2*q**3 + 23*q**3 + 1 + 1 as b*q**3 + o + f*q**2 + j*q and give f.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 97774129995268.\nAnswer: -97774129995267.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3207\/65 + 644\/13. Which is the nearest to 1? (a) 2 (b) 24 (c) -1 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 - -4 - (-4 + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -666 + 31?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**3 + 140*m**2 + 1276*m + 1140 = 0. Calculate m.\nAnswer: -19, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**5\/5 - 107*a**4\/5 + 457*a**3\/5 + 1439*a**2\/5 - 456*a\/5 - 1332\/5 = 0.\nAnswer: -111, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 15*k - 29*k - 2502*k**2 + 8*k.\nAnswer: -2502*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**2\/4 - 26255*f\/4 + 131525\/2 = 0. Calculate f.\nAnswer: -5261, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p - 34. What is the smallest common multiple of 237 and y(-10)?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1698673*z. Let c(k) = 36*k. Give i(c(y)).\nAnswer: -61152228*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4467721.\nAnswer: 283, 15787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1610 (base 7) to base 4\nAnswer: 22010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-28) - 0) + (-31)\/31. What is the closest to -2\/5 in 5, -1\/4, -2\/5, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-4))\/(6\/(-8)). Let o be 52\/42 - 4\/q. Let c = 0.02 - -1.98. What is the nearest to -1\/3 in c, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -312 - -307. Let q(o) be the second derivative of -o**4\/12 - o**3\/2 + o**2 + 5*o - 8. Calculate q(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089991 to the power of 1\/2, to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45105.\nAnswer: 3, 5, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 9. Let p be z(-8). Suppose -2*q + 5*q - 30 = 2*o, -4*o - 3*q - 24 = 0. Let g be (0*3\/o)\/1. Sort p, g, 5 in increasing order.\nAnswer: p, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*sqrt(306)\/sqrt(6))\/sqrt(3)*-5.\nAnswer: -25*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlarranflnrsfnrsrnr. What is prob of picking 1 a and 1 l?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -76*w - 13. Let k(x) = 38*x + 6. Suppose -i + 1658 - 1645 = 0. What is i*k(p) + 6*j(p)?\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 309719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -297.2 - -160.2. Which is the second biggest value? (a) w (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 1:52 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 21*m + 9. Let l be x(5). Suppose l = r - 173. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27827 - 2?\nAnswer: 27825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/60 - 3*w**2. Let h(v) = 3*v. Give h(f(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l + 2*l. Solve 0 = d - l + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**4 + 392 - 582*w + 14*w**2 - 576*w - 4559 + 1161*w - 729 wrt w.\nAnswer: 8*w**3 + 28*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**5\/7 - 102*k**4\/7 - 183*k**3\/7 + 300*k**2\/7 + 372*k\/7 - 384\/7 = 0.\nAnswer: -32, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0.8. Suppose m = -4*h - 3, 4*m + 23 = -h - 4*h. Let g = m - -6. Is g at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7052 is divided by 783.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 28343.\nAnswer: 28347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25033387?\nAnswer: 1381, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 24*r**2 + 3*r + 80. Let b be o(-24). Solve 2*k + g - b = 0, -5*k + 0*g + 23 = g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b - 32. Let y(s) = -s**3 + 10*s**2 + 10*s - 165. Let n be y(9). What is p(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f + 4*f**4 - 2*f**3 + 6476*f**2 - 3251*f**2 - 3252*f**2 to the form b + g*f + o*f**4 + q*f**3 + l*f**2 and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p - 3. Let d(v) = 2*v. What is d(n(t))?\nAnswer: -20*t - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -293*u - 18505. What is h(-65)?\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6076)\/(-6174)*63 + 22.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**2 + 36*l - 105 = 0.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1001010101?\nAnswer: -1001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3712 - 3665. Solve 19*m - t - 29 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -12, -0.09, 2, -2\/17?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 71\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 11. Suppose -4*m - 14 - 19 = -3*i, -f*m = 0. Suppose -16 - i = -b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f - 5 - f + 9 - 6. Let q be w(1). Let y = 53 - 29. Solve 0 = -q*b - 3*z + y, 5*b - b - 26 = -2*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*z - 19*z + 13*z)*(-2*z + 4*z + z + 0*z - z + 3*z + (0 - 3 + 4)*(-z + 3*z + 0*z) - 31*z + 3 - 3) in the form u*z + i*z**2 + h and give i.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 261777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llll. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5350 divided by 5.\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -671, -1324, -1967, -2594, -3199, -3776?\n\"Answer: m**3 - m**2 - 657*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 3*k. Let c be -2 + 0 - (5 - 4). Let y be i(c). Let d be -2 + 4\/6 - -1. Is d at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-15) + 14\/35. Suppose 2*w + 3 = -4*c - 17, 3*c - 4*w = -15. Let i be (-264)\/(-110) - 3\/c. Sort i, k, 0 in increasing order.\nAnswer: k, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20570718 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -225 - -2473\/11. Let o = -0.33 - -0.73. Sort 3, o, f in decreasing order.\nAnswer: 3, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -0.06621685361?\nAnswer: 2.93378314639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 20. Let d(z) = z**2 + 5*z + 9. Let x(o) = o**2 + 6*o + 9. Let h(q) = -2*d(q) + 3*x(q). Calculate the lowest common multiple of a and h(-8).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 52 = z. Let f be z\/(-3) + (-23)\/69. Suppose f*s - 28 = -3*a + 39, 80 = 4*a - 4*s. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 130, 189, 248, 307?\n\"Answer: 59*r + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -18*v + 49. Let g(f) = -3*f + 12. Let t(x) = 18*g(x) - 4*j(x). Let w be t(-1). Solve w*k - 6 = 4*l - k, 3*k = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*(sqrt(2) - 3*sqrt(8)\/sqrt(4)))**2 + 2 + sqrt(4)\/sqrt(2) + -4.\nAnswer: sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.2 (b) 1\/13 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 24*w**2 - 4*w - 28. Let j be l(17). What are the prime factors of (-3)\/(-5) - j\/(-100)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.96 - 0.04. Suppose 69*g + 105 = 5*i + 74*g, -i = -5*g - 21. What is the nearest to w in i, 4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18261*i**3 + 5*i + 18197*i**3 - 5*i.\nAnswer: -64*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - 88. Suppose i = 2*o + 4*o + 12. Let d be (o - 1)*((-19)\/(-21) + -1). Which is smaller: d or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 38017\/6 + 12\/(-72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*w + 77 = 0, 0 = 5*l - w + 48 + 70. Suppose -4*i - 943 + 871 = 0. Let v = i - l. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45077403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 130*q**2 + q - 6. Give d(-3).\nAnswer: 1161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 45*c - 7. Let s(n) = n + 2. Give -d(u) - 4*s(u).\nAnswer: -49*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1668*k - 6865*k + 1810*k + 1651*k + 1684*k.\nAnswer: -52*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2336, -574, 5, -2, 23 in decreasing order.\nAnswer: 2336, 23, 5, -2, -574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -524176*p**4\/5 - 2111184*p**3\/5 - 2154724*p**2\/5 - 11664*p - 80 = 0. Calculate p.\nAnswer: -2, -5\/362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u. Let y(o) be the third derivative of 0*o - 1\/24*o**4 + 0 + 0*o**3 - o**2. Give y(w(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erbjjbrerbjgbgjejjre. What is prob of sequence jgb?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 16*s - 1. Calculate the remainder when 24 is divided by m(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.9 rounded to zero dps?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 bigger than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 0*n + 2*n)*(-4*n - 6*n + 2*n)*(-n - 2*n**2 + n) in the form y*n**4 + w*n**3 + s*n**2 + g*n + d and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 11:05 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -21. Suppose 3*i - s = -7. Solve i*j = 4*u - 0*j + 20, -4*j = -5*u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*q**3 + 936\/5 + 246\/5*q**2 + 948\/5*q = 0. What is q?\nAnswer: -78, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 294, 1009, 2398, 4683, 8086, 12829?\nAnswer: 19134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:56 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/55 in -35, 1, 0.3, -15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-2352.\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/150)\/(15 + 8613\/(-605)) - 96\/168.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwphuu. Give prob of picking 1 h, 1 w, 1 p, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**2 - 273 + 0*j**2 + 270 - 9*j)*(46*j**2 - 13*j**2 - 124*j**2) as t*j**4 + n*j**2 + v*j**3 + l*j + u and give n.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*r - 353 = -128 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z + 17*z**2 + 29 - 12*z**3 + 14*z**3 - 7. What are the prime factors of w(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28512731 and 993.8.\nAnswer: 28513724.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, m: 4, j: 1, d: 1}. What is prob of picking 1 j and 3 m?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -0.18160993?\nAnswer: -0.48160993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 3*h - 1 + 5\/4*h**3 + 3\/16*h**4 + 3*h**2. Find q such that v(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, -4, 0.3, 9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - -0.4. Let r = 0.6 + f. Which is the smallest value? (a) -3 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*u + 37*u - 6, -u = 3*b - 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4080795935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) 0.037 (c) -1\/28 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 1 - 6*(-17750)\/(-852).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/7)\/((-63)\/(-294)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + (-11 - ((-3 - (2 - 0)) + -9)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 102f0 - 8?\nAnswer: 102e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n - 59*n + 20 = -4*s, 4*s = 5*n + 70. Let j be -3 + 2\/(-1) + 1. Let w be j\/10 + (-28)\/5. What is the nearest to w in 0, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 - 12*l**2 + l - l**2 - 3*l**4 + 18*l**2 + 0*l + 19 to d*l**4 + y*l + u*l**2 + k*l**3 + v and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10132101111 + -22312?\nAnswer: -10132130023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -77 - (-18447)\/429?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002390875 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) - 939\/(-9). Let d = 98 - p. Let i(b) = b + 6. Determine i(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 3*t**2 + t - 5. Let f(y) = 3*y**3 + 6*y**2 + 2*y - 11. Let p be (-93)\/(-15) - (-2)\/(-10). Let r(n) = p*f(n) - 15*b(n). Factor r(c).\nAnswer: 3*(c - 3)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9044*o**2 - 2.\nAnswer: 9044*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-6 - -6) + -3 + 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(6)\/sqrt(3) + -1 + 1) - ((sqrt(288) - -1*sqrt(288))\/sqrt(12) + sqrt(24) - sqrt(24))\/(sqrt(48)\/(sqrt(4) - (sqrt(16) + sqrt(4) - sqrt(4)))).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3\/2*i**5 + 3\/2*i**4 + 0*i**3 + 0*i**2 + 0 + 0*i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 + -68. Let q be (-48)\/(-9) - g\/21. Solve q*d - 3*t - 6 = 0, 5*d + 0*t - 2 = t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231 divided by 7\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*t + 680 = 102 - 532 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -59, -103, -165, -251, -367?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/(h**(-3\/4)*h))**24)**6 assuming h is positive.\nAnswer: h**828","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 10. Suppose -h*x - 1 = 2. Let g be 1 - (-2 - x\/(-1)). Sort g, 5, 0 in descending order.\nAnswer: 5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -2. Let n be 12\/(-8)*2\/3. Let g = p - n. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 49. Determine m(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**9\/15120 - f**8\/3360 + f**7\/2520 + f**4\/12 - 15*f. Let l(u) be the third derivative of k(u). Find z such that l(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, m: 7, o: 3}. Give prob of picking 1 o and 1 w.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269 (base 10) to base 12.\nAnswer: 1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbhbbbhbbb. Give prob of picking 2 h.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 221890560 divided by 3578880?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81\/77, 72, -5, 2.\nAnswer: -5, 81\/77, 2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xoo when three letters picked without replacement from hohootxxo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2094*x**2 - x - 13. Let q(k) = 523*k**2 + 3. Determine -2*i(u) - 9*q(u).\nAnswer: -519*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000077809386 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - 2*p**2 - 2*p - 9. Let l be w(4). Suppose -5*m = -281 - l. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 95400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, 2, 0, -27, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 bigger than -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 5)*(-72*p + 2 - 30*p + 29*p) to the form o + w*p and give w.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6291?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**6 - 10*k**6 - 46*k**3 + 212009*k**2 - 213429*k**2 wrt k.\nAnswer: -1560*k**3 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 20 = 4*a. Suppose 4*m - 1452 = a*g + 580, 0 = -2*m - 4*g + 990. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*i = -6*i + 24*i - 73*i - 13170 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**3 + j**2 - 1. Let a(f) = 68*f - 2309. Let y be a(34). Let c(q) = -14*q**3 - 2*q**2 + 2. What is y*c(h) + 8*b(h)?\nAnswer: -2*h**3 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**5\/30 - 8*j**2. Let a(h) = 8*h**2. Determine a(m(f)).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*k + 17. Let c be ((-12)\/438 - k)*2\/4. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 9:28 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/139996 and 37\/42.\nAnswer: 2939916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 192\/20 + 3 + (-6)\/10. Solve -o + g = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52412443 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -120*p - 49*p + 46*p + (4 - 1 - 1)*(-p - 3*p + 6*p) + 2 + p - 2.\nAnswer: -118*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7055 - 6621. Calculate the remainder when m is divided by 221.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/(-48)*(-4)\/6)\/(1080\/23040).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -8. Let h = -17 + i. Let g be h\/(-3) - 3 - 0. Is g at most -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.095 + 0.905. What is the second biggest value in a, 2\/13, -1.6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 8)*(-96*i**2 + 16*i - 118*i**2 + 215*i**2 - 2) as g + j*i + w*i**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -65. Suppose -3*q + h = -160. Are q and 59 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Let c = 4 - i. Suppose 3 + c = y. Solve 27 = -y*z + 5*h - 3, 2 = 3*z + 2*h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621*w**3 - 684*w**3 - 486*w**3 - 2*w + 2147*w**3.\nAnswer: 356*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -18*w - 63 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4754081 is divided by 1188511.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -20, -u - 7 = -2*u - 5*p. Suppose 0 = 4*g - 4*d + 4, -5*g + d = -805 + 794. Sort -1, u, g in descending order.\nAnswer: u, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.041 - 0.059. Which is the third smallest value? (a) 11\/5 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 912 and 1743706.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -352 - -247. Let o be 9\/(-81) + y\/27. Let k(n) = -3*n**3 - 4*n**2 + 4*n. Let r(p) = 56*p**3 + 77*p**2 - 77*p. Calculate o*r(a) - 77*k(a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 1\/4 (c) 2\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - 22*f**2 - 18*f + 4. Is j(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106215 + 3?\nAnswer: 106221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 569957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-2\/7)*y*y*y*y*y**(-2\/13)\/y*(y\/(y*y**(-1)\/y)*y)**(-42) assuming y is positive.\nAnswer: y**(-11142\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + 3051.924408924.\nAnswer: 3044.924408924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4*g = -4, -3*u - 12156*g + 56 = -12160*g for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c**2 + 4128*c**3 - 31*c**2 + 40*c**2)*(1 - c**2 - 1).\nAnswer: -4128*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395.089*-120.\nAnswer: 47410.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2946 - 2917.63. Let f = g + -30.8. Round f to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + f = 5*f, d + 2*f = 0. Let g(v) be the first derivative of d*v**2 + 1\/2*v**4 - 5*v + 0*v**3 + 5. What is the derivative of g(x) wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23764, -27667, -31570?\n\"Answer: -3903*f - 19861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 6:28 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + -3308?\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -3.03 (c) 110\/653 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**2 + 0*v**2 - 1 - v**2 + (-2 + 2 + v)*(0*v - 4*v + 3*v))*(v + v - v) as g + m*v + f*v**2 + c*v**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433437 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.11 (b) -1 (c) -0.021 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 195*i**2 + 161*i - 7. Let q(c) = 196*c**2 + 163*c - 6. Let m(l) = 7*q(l) - 6*w(l). What is the second derivative of m(o) wrt o?\nAnswer: 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b**4 - 517625*b**3 - 2989565*b**2 - 3966375*b + 1034730 = 0. What is b?\nAnswer: -11497, -3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 827927869 to the power of 1\/2, to the nearest integer?\nAnswer: 28774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.019? (a) 0.3 (b) -21 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6464?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 579 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 + 11 + 0*q - 11 + q.\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-33)\/88*128\/(-416)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 10:54 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1488929 and 11024?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 277a3 - 603?\nAnswer: 271a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.86 and -3268.7.\nAnswer: -3270.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/5 - 301653*x**2\/5 - 17458029*x - 1264792515.\nAnswer: -3*(x + 145)**2*(x + 100261)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576411279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + 1010?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*h = -213*h + 26530. Is -757 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1984 - 480 - 2891 = 255*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -4) + (-8 + 7 - 8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + (-1836)\/(-6) - -3. Suppose -8*s - x = -309. Solve -5*k + 3*g = -8, k + 2*g - 13 = -s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 18\/4*-2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 divided by -23?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**4\/6 + 13*r**3\/6 + 134605*r. Let v(g) = 5*g + 2*g - 4*g**2 + 5*g**2. What is 6*l(x) - 11*v(x)?\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 19*h + 49. What is i(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -1\/2*w**3 + 3\/70*w**7 - 16*w**2 + 0*w**4 + 0*w**5 + 0 + 0*w + 0*w**6. Find the first derivative of z(c) wrt c.\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -75*f - 68*f + 256*f - 6 - 92*f. Let a(t) = 4*t. Give u(a(b)).\nAnswer: 84*b - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 + 3100?\nAnswer: 3301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1730*i - 1735*i = -2*z + 49 - 9, 3*i = -23*z + 97 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*s + 382335*k + 10*s**3 - 4*s**2 - 383*s wrt s.\nAnswer: -k + 30*s**2 - 8*s - 383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Let y = 85 - 84. Solve u*d = -3 + y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjiiiiiijijjjbj. Give prob of picking 2 b.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -78. Suppose 2*k = -3*d - 137, -3*d - k - 63 = 70. Let l = d + c. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*k**3*w**3 - 4*k**3 + 33*k**2*w**3 + 2*k*w + w**2 wrt w?\nAnswer: -36*k**3 + 198*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 0 + 0*k**3 - 1\/12*k**4 + 2*k**2 + 0*k. Let x(q) = 2*q. What is x(j(p))?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315715409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474005 is divided by 473833.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is d23 (base 14) in base 6?\nAnswer: 15535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53619, 53600, 53581, 53562, 53543?\n\"Answer: -19*w + 53638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, t: 8, d: 6, h: 3, n: 1}. What is prob of picking 1 n, 1 t, and 1 h?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6324851*q**2 + q - 1388451.\nAnswer: 12649702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdpd when four letters picked without replacement from {y: 5, i: 1, d: 4, g: 1, s: 1, p: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 239623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 - 226857707920 + 226857707920.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (487*x**4 + 575*x**4 - 60*x**4 - 2094*x**4)*(-10 + 2*x + 8 - 10).\nAnswer: -2184*x**5 + 13104*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 4*c + 8, -4*c + 7 = 2*x + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -4 - (-1387)\/475?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1190, 4743, 10664, 18953, 29610, 42635?\nAnswer: 58028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - d - 12*d + 0.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Suppose 0 = -r - 3*a + 8, -r - a = -w*r. What is the greatest common divisor of r and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + g**2 + 1 + (-g + g + 2*g)*(-1 + 2*g + 1))*(-14*g + g + 4*g) + 5*g**2 - 5*g**2 - 3*g**3 to the form p*g**3 + k*g + s + n*g**2 and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -7 - (54 - 52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160158618 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7\/3)*u**(-2\/45)*u*u assuming u is positive.\nAnswer: u**(-17\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-270)*5 - 111\/378. Let l = -4 + 3. Are l and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -23056*n**2. Let d(u) = 2*u. Calculate z(d(v)).\nAnswer: -92224*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 771\/8 - 11561\/120. Let s(i) be the third derivative of -o*i**5 + 22*i**2 + 0*i**4 + 0 + 0*i + 4\/3*i**3. Solve s(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/13 + 9\/26. Let l = 1.8 + 3.2. Let i = -4.2 + l. Which is bigger: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 21 + 21)*(-4*s**2 + 4*s**2 + s**2) - 5*s**3 - 2*s**3 + 4*s**3 + 12*s**3 + 15*s**3 - 6*s**3.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -30.007174 <= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.89 - 0.39. Sort 7, c, 1\/3 in descending order.\nAnswer: 7, c, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 11) to base 14.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -902 + 102 = 50*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244704 + 40641 = -1942*u - 1415*u for u.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3321)\/(-287) + 5 + -18?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*1\/(-3) - -1. Let t = 1.83898 - -0.16102. What is the third smallest value in t, u, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmeegfmeegemefm. Give prob of sequence mem.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14184099?\nAnswer: 3, 113, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67611*f**3 + 35135*f - 35134*f + 12306*f**3.\nAnswer: -55305*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*c = -124*c + 1025. Suppose 0 = 8*f + c - 181. Suppose 5*r = -2*m + 2*r - 9, 0 = 2*r + 10. Sort m, 2, -5, f.\nAnswer: -5, f, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 260 - 255. Suppose -4*w = -0 + 20, 2245 = i*g + w. What is the greatest common factor of 50 and g?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*-15*28\/126?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/3 + o**3\/3 + o**2 - 5*o\/3 + 2\/3.\nAnswer: -(o - 1)**3*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**6\/60 + 34*c**5\/15 + 84*c**4 - 1728*c**3 - 3*c**2 - 29. Solve n(u) = 0 for u.\nAnswer: -36, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/2 (b) 1.6 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, j: 3, p: 4, b: 1}. Give prob of sequence jjjb.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.9 - 3?\nAnswer: -36.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, k: 4}. What is prob of picking 2 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + g = 8, -5*g = -0*p - 5*p + 5. Let z be 4*-8*(-10)\/((-10)\/p). Suppose -5*k = 16 - z. Solve -5*t - 1 = 4*d + k, t = 4*d - 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147 + 157. Suppose 4*y = a + 20, 3*y + a - v = y. Sort -6, y, 2, -1.\nAnswer: -6, -1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - b + 33 = 0, c + 5*b - 25 = -0*b. Calculate the remainder when c is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.418489 rounded to 2 decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268750*-44.\nAnswer: -11825000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4011995558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 34 + 6*w + 11 - 12 + w**2 + 4*w. Let q(j) = 1. Let b(y) = i(y) - 6*q(y). What is the remainder when 7 is divided by b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459213 > 459233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*c + 4*c**2 + 356*c - 8*c**2 - 2 - c**2 - 185*c.\nAnswer: -5*c**2 - 21*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*n**3 - 2*f*n**2*y - f*n*y + 4*f*n - n**4 + 22*n**2 wrt n?\nAnswer: -12*f*n - 4*f*y - 12*n**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174931472?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 5*n - 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*t - 3. Let p = -1 - t. Let s(k) = k**2 + 10*k + 22. Let g be s(-8). Solve p*c + g = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88482270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 586, 1\/4, 0.4, -13\/2, -5, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 57 = 3*v, v + 0*v + 3*p = 19. Let t = v - 9. Calculate the highest common factor of t and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 706 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99)*-1 + sqrt(99))*-4)\/(1*2*sqrt(9)) + -2.\nAnswer: -2*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 8*f**2 + 8*f - 3. Suppose 3*d + 0*d + 27 = 0. What is the units digit of q(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333074733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.77 + 6.77. Which is the smallest value? (a) 3 (b) g (c) -2 (d) 0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 10*u = -6*u - 49, 4*u - 94 = -2*w. Let j(g) = 36*g**3 - 45*g**2 - 45*g - 45. Let l(k) = -k**3 + k**2 + k + 1. Calculate w*l(v) + j(v).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 0)*2 - sqrt(30)\/(sqrt(6) - (sqrt(6) - sqrt(54))) - (sqrt(5) + sqrt(45)\/(sqrt(9) + sqrt(9)*-2) + 4)) + 2.\nAnswer: -2 + 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4084 >= -4085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 85 = -5*h. Let z = h + 103\/4. What is the third biggest value in 1\/2, z, 2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/4)\/f)\/(f\/(f*f**0)))\/(f**0)**(-14\/3)*(f**0)**(-3\/4)*f\/(f\/f**(-3\/8))*f\/((f*(f\/f**(-2\/7))\/f*f)\/f)*f assuming f is positive.\nAnswer: f**(-79\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*v + 72 = 157*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61 + -374?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4 - 0) + (-1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 78613420.\nAnswer: -15722684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (36 + 4))*1\/(-2). Calculate the highest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5*-6*(sqrt(200)*3 - sqrt(200)))\/(sqrt(20)\/sqrt(2)*5 + sqrt(160)\/sqrt(4)))**2.\nAnswer: 1152000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116708450 by 86.\nAnswer: -1357075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - (-1 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 - 229 = -8*y. Suppose 0 = -42*u + y*u + 1264. What are the prime factors of u?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (sqrt(110)\/(sqrt(360)*1 - sqrt(10)))**2 + -2).\nAnswer: -984\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 13\/7 (c) -0.01 (d) 0.2 (e) -0.4 (f) -916\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 3. Determine a(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -148, -222, -296, -370, -444?\n\"Answer: -74*k - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**3 - c**2 - 7*c - 2. Let p(k) = 22*k**3 - 3*k**2 - 51*k - 16. Calculate 15*f(m) - 2*p(m).\nAnswer: m**3 - 9*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*u, -2*r + 0*u + 5*u + 20 = 0. Suppose -r = -2*m - 1. List the prime factors of (-46)\/(-14) + m\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3139 times -192005\nAnswer: 60270.3695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 738?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*u = 23*u + 3225. Which is the smallest value? (a) 2\/17 (b) u (c) -5\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, e: 5, w: 7, o: 3}. Give prob of picking 1 e and 3 w.\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (29 + 9)\/((-2)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/13, -1 in decreasing order.\nAnswer: 5, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -450400 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1524 + 1530. Let o(b) be the first derivative of -b**2\/2 - b + 2. Calculate o(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*z + 75 = 0, -2*s + 74 = 3*s - 4*z. Let m = s - 5. Let k = -9 + m. Sort 3, 1, k in descending order.\nAnswer: 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrxx when four letters picked without replacement from {r: 1, q: 5, x: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4182773703?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**2 + 5*b**3 + 32*b - 33*b + 4*b**2 + 0*b**2 wrt b.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 477, 472, 465, 456?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.01776 * 0.23\nAnswer: 0.0040848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/24*(-1)\/2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2214204143 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 101*d**4 + 0*d**3 + 2*d - 215*d**4 - 2*d**3 - 67 + 113*d**4 to p + s*d**4 + v*d**3 + r*d + k*d**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 1.4.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 517 and 4183.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -249979 and -1249891\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(16\/4))\/(42\/14). Is (0\/s + -13)*(-132 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 10*y**3 - 52*y**2 + 62*y - 128. Let a(j) = j**3 + j**2 - 12*j + 1. Let v(l) = -12*a(l) + f(l). Suppose v(s) = 0. Calculate s.\nAnswer: -35, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2292522826 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728774?\nAnswer: 2, 109, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*b + 2*o, -b - 5 + 2 = o. Let j(k) = -k**3 + 3*k**2 + 3*k - 5. Let d(i) = -6*i**3 + 16*i**2 + 16*i - 25. Let r(m) = b*d(m) - 11*j(m). Give r(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.906 - 0.094. What is the third biggest value in 13, 4, s, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007559313 rounded to four decimal places?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -45, -128, -283, -534, -905?\nAnswer: -1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -18*p**2. Let r(y) = -11*y + 7. Let j(s) = -12 - 16 + 24 + 5*s. Let a(g) = 7*j(g) + 4*r(g). Determine a(i(c)).\nAnswer: 162*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k - 20. Let y(u) = -u - 4. Let t(d) = -j(d) + 4*y(d). Let h(l) = -l - 1. What is -10*h(n) - 3*t(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1078)*1 + sqrt(1078) + sqrt(1078)))\/(((sqrt(12) - (sqrt(48)\/sqrt(4) + sqrt(12)))*-4)\/sqrt(6)).\nAnswer: -63*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2078 = 254. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8579416*r + 10270764 with respect to r.\nAnswer: -8579416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001092972 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/7 - 2690*v**2\/7 - 854863*v\/7 - 852174\/7 = 0.\nAnswer: -2322, -367, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33475914, 66951826, 100427738, 133903650, 167379562, 200855474?\nAnswer: 234331386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8937.973 centimeters to millimeters.\nAnswer: 89379.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -7, -3402\/31, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 97*d**2 - 1. Suppose 3*r + 22*r + 9675 = 0. Let o = -367 - r. What is the remainder when i(1) is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84528285 is divided by 963?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 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: Suppose 0 = 2*l - 7*l, -4*l - 204 = 4*y. Let f = 109 - 58. Let i = y + f. Solve i = -3*v - 4*a - 1 + 2, 2*v + 3*a = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2319 - 4788586.\nAnswer: -4786267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1271137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/35491 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 465.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -34*s. Let f(t) = 52*t. What is f(j(d))?\nAnswer: -1768*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/15)*v**(-9\/4))**(-6)\/((v**(-1\/3))**37)**(-11\/5) assuming v is positive.\nAnswer: v**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a kilogram in grams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -407424*h**4 - 497346*h**2 wrt h?\nAnswer: -9778176*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/(-62))\/(42\/(-3234)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/9 - 6430*k**3\/9 - 12868*k**2\/9.\nAnswer: 2*k**2*(k - 3217)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-15)*15*((-30210)\/75)\/38.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 139 = 5*c - 6*r, 0 - 40 = -20*r for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - l + 4*l + 2*l - 5*l + l + (2 + 4 - 4)*(4*l + 3*l - 5*l) - 3*l + l + 0*l + 4*l + l - 4*l - 3*l + l - l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**29\/o*o*o**(1\/2))\/(o\/(o**12*o))**(-5\/12) assuming o is positive.\nAnswer: o**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**4\/2 + 5*z**3\/2 + 39*z**2\/2 - 9*z\/2 - 81 = 0.\nAnswer: -3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 360?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164749450?\nAnswer: 2, 5, 3294989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -187473, -374939, -562405, -749871, -937337?\n\"Answer: -187466*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(209)*-5 - sqrt(209) - sqrt(209))*6)\/(sqrt(44) + sqrt(1584) + (sqrt(891)*4 + sqrt(891) - sqrt(891)) + sqrt(11)).\nAnswer: 48*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 49\/5?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -20.2.\nAnswer: 6.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32236.04+-76.8\nAnswer: -32312.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 506?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**5 + 2*m**5 + 17*m**5)*(313 + 2113 + 643 - 120).\nAnswer: 44235*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65631\/11858 - 483\/242. Let w = -59\/98 - c. Calculate the common denominator of w and 73\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -168 - -239. Calculate the remainder when o is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -4. Let u = -501 + 565. What is the highest common divisor of s and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3582, 3551, 3518, 3483?\nAnswer: 3446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 112\/49 + 6\/(-21). Suppose -2*i = 2*h - 18, 48 = 4*h - 0*h - j*i. Calculate the highest common factor of h and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 82 + 85744?\nAnswer: 857c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 14*h + 5824 = 0. Calculate the lowest common multiple of h and 256.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -72 from -10.5.\nAnswer: 61.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.46443 nanograms in milligrams?\nAnswer: 0.00004846443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399*i - 200 = 199. Suppose a + 0*a = 8. Suppose 0 = m - 5*d - 4, -2*d + 26 = -a*m + 3*m. What is the biggest value in 1\/4, i, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(312)*4 - sqrt(312) - sqrt(312))*-1)\/sqrt(12))\/(sqrt(18)\/(sqrt(729) - sqrt(729)*2)).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/3 - 0) + (-2)\/(-6). Let z be j - (-3 - (1 - 5)). Find the third derivative of 5*b**z - 71*b**5 + 0*b**2 + 66*b**5 wrt b.\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*(i*i\/i**1)\/i)\/i))\/i**(-6)*i**(-2\/21)\/i*i*i**(4\/3)\/i)**(8\/3) assuming i is positive.\nAnswer: i**(1216\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20180698.75596 + -0.5?\nAnswer: -20180699.25596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**3 + 0*r**3 + 3*r**3)*(-257 - 23 + 63)*(-2*r + 8*r + 3*r) as k*r**3 + w*r**2 + v*r + f*r**4 + q and give f.\nAnswer: -7812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -2) + 1 + -9. Let w(l) = -l**2 - 9*l - 9. Let k be w(j). Let i be (-2)\/k*(-49 - 1). What is i rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1028754?\nAnswer: 2, 3, 19051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15477?\nAnswer: 3, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24 - -33) + -4*5\/(-20). Let j = -8 + 11. Let a(l) = -l + 2*l - b*l**2 + l**j + 5*l + 4*l**2. Calculate a(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uup when three letters picked without replacement from upiiupi.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 15657.513 months in years?\nAnswer: 1304.79275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9b08 + 140b?\nAnswer: b317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 921586 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 2. Let q(o) = o + 1. Let a be q(-1). Let z be b(a). Suppose 0 = -z*f - 0*f + 18. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28 - -31) + 38\/(-8) + 2. Let h(t) be the first derivative of 0*t**3 + l*t**4 + 0*t**2 - 2*t - 3. What is the derivative of h(c) wrt c?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 11 + 39. Solve -5*b + r = -1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 5:26 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122.034 + 0.266. Round a to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27585001 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 7. Let n be z(-6). Let p(y) = y**2 + 25. Let j be p(5). Suppose n*b - 120 = -5*m, j = 4*b - 2*b + 4*m. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.66 + 0.26.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3160*l**2 + 5940*l**2 + 12378*l**2.\nAnswer: 15158*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2519477\/81 + 31104. Calculate the common denominator of ((-3)\/(-594))\/((-12)\/240) and g.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.83159 milligrams in kilograms?\nAnswer: 0.00007583159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -35, -52, -75, -104, -139?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*k = 2*k - 36, 0 = -3*t + k + 66. Suppose 15 = 4*w + 4*n - 33, 5*n - 38 = -3*w. Let a = w + 49. Calculate the remainder when a is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1609904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -101348 + -33.9\nAnswer: -101381.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -12*l + 12 + 118*l**2 - 7 - 117*l**2. Suppose 8*k - 30 = 5*k. Determine t(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 + 124 + (-783)\/24.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -315 (base 9) to base 14\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32323 + -3?\nAnswer: 32320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = 0, -29 = 3*o - 3*f - 17. Is o at most as big as 2\/583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 12*k**2 + 19*k + 18. What is the remainder when 417 is divided by o(-10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341583540 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27273627 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b92 (base 13) to base 7.\nAnswer: -15113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -3079.954\nAnswer: -923.9862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*o - 32 = 0, 0*o = -g + 2*o + 21. What is the biggest value in 8, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 3, 6, -4\/1867?\nAnswer: -4\/1867","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011110000011 + 11110111001110?\nAnswer: 1011010101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3142 times 5\nAnswer: -15710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4212 and 25\/18.\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 3684?\nAnswer: -3687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 3*q**2 - 2*q - q**2 + 2*q + (q - q - q)*(2*q - 2*q + q) - 75*q**2 + 37*q**2 + 40*q**2 + 4*q + 13 to the form d*q**2 + l*q + t and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + 46\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2650*d = -2651*d + 17. Solve d*g - 31*g + 14 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 9 - 9*n - 1\/2*n**3 + 3\/4*n**4 - 1\/20*n**5 + 4*n**2. Give l(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -2*c**7\/7 + 8*c**3 - 10. What is the third derivative of j(g) wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3290647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 56*f**2 + f + 1. Let y be b(1). Determine k so that 5*k**2 + 26*k - 14*k + y*k = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 59*s + 96. Let y be o(-30). Suppose -3*c + 3*h + 732 = 0, 1094 = 4*c - 2*h + y. What is the greatest common divisor of 144 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + -14 + -7 - (-13 + 14 + -4) - -8.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 13 = -2*i, 4*r - r - 4*i = 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -2461.\nAnswer: 3\/2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**3 - 5*u + 2. Let w be i(2). Solve 5*q + 9 = -w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 24*u**2 + 32*u + 43. Let b = -583 + 563. List the prime factors of a(b).\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = 3*w - 2*c - 3119 + 3044, 0 = -2*w - 5*c + 57 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.025 times -0.04\nAnswer: 0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2294 - 0.0294. Which is the closest to i? (a) 1 (b) 3\/4 (c) 2 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-518)\/(-504)*42*6\/(-14)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27b8 + -1b71c?\nAnswer: -18d44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + -1 + 3 - -6. Suppose 0 - 19 = -4*z - 3*h, 3*z - 3*h = -12. Which is the nearest to 0.2? (a) z (b) -9\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 - 6*j + 2. Let r be b(4). Let f = -17 + r. What is the greatest common factor of 275 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114973*c - 114986*c = -26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2))**(29\/2)*(h**(2\/5))**(1\/45))**(5\/3) assuming h is positive.\nAnswer: h**(19579\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -420*q**3 + 8*q - 9. Determine i(1).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383628941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -48297, 141 in decreasing order.\nAnswer: 141, 0, -48297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -233 or -234?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 568 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgq when three letters picked without replacement from {k: 1, j: 3, h: 4, q: 6, g: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(12\/4 + -1). Let r(p) = -11*p**2 + 2*p - 1. What is r(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -0.4.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 - 200*v\/3 - 627.\nAnswer: (v - 209)*(v + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -48*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*o = -158*o - 1440 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 761.13679026556?\nAnswer: 760.63679026556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 8*u - 84 = 0. Let n(s) = -10*s - 4*s**2 - 5 + 3*s**2 - 2. What is the tens digit of n(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1465756 or -1465759?\nAnswer: -1465756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7243 is divided by 1388?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -8\/7, 12\/3175?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/51 and 40\/1479.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*q + 115*q + 10 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -7. Let h be 1\/(-3 + (-1236)\/(-411)). Suppose 4*w - 32 = -a, 3*w = -3*a + 8*a - h. What is the remainder when a is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from filoiuiliiifii. What is prob of sequence ui?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(140)*1)\/(sqrt(5) - (sqrt(5) - (sqrt(5) + sqrt(10)\/sqrt(2))*2)))*2.\nAnswer: -6 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i - 15. Suppose i*o - 4*z = 128, -z - 41 = 3*o - 4*o. What is the common denominator of -17\/3 and (-345)\/o - 2\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -517481644 + 0.2112\nAnswer: -517481643.7888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -19*b**6\/30 + b**5\/10 - 513*b**2 - b - 32. Find the first derivative of w(p) wrt p.\nAnswer: -76*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -253.42 - -0.06.\nAnswer: -253.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*r = -10, -4*o - 2*r + 16 = 2*r. Suppose -3*m - 5*g - 92 - 135 = 0, 3*m + 243 = o*g. Let n = 87 + m. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + (sqrt(68)*2)**2 + sqrt(68) + 0 + (sqrt(17) + 0)**2.\nAnswer: 4*sqrt(17) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2*2697\nAnswer: 5394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 9, 0, -29, -84?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 116, 114, 112, 110, 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 divided by 296490?\nAnswer: -247\/296490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k + k - 4*k)*(2*k - 9*k + k) - 163 + 163 + 534*k**2 to the form y*k**2 + l*k + w and give y.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 s, and 1 t when four letters picked without replacement from arsataasaassass.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/146 and 29\/3.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u**2 + 29*u + 13. Calculate m(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 867488, 867324, 867160, 866996, 866832?\n\"Answer: -164*k + 867652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -515 by 103.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 1509 - 1487 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 567 + -583. What are the prime factors of a\/(-192)*12 + 37*17?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 41.948. Let h = 0.048 - i. Let v = -1 - 1. Which is the nearest to h? (a) 3 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 0 + 1 + 7 + 78*z**3. Let m be r(4). Let j be (-2160)\/((1\/m)\/((-13)\/(-6))). What is j rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-180) - 8635\/(-60). Suppose -2*v + 95 = p, -v + 0*v = -p - 49. Calculate the highest common divisor of d and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2544)\/1484)\/((-2)\/(-7)) + (-38)\/(-5)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = 2*t - 0*t, -t = -2*b - 7. Let n be (t + (-324)\/325)\/(4\/(-5)). Let s = n - -16123\/780. Calculate the common denominator of -46\/11 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**15)\/z*z*((((z\/z**(2\/29))\/z)\/z)\/z)\/z)\/(((z\/(z\/(z*z**(-14))*z))\/z)\/(z*z**13)) assuming z is positive.\nAnswer: z**(1245\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -3 - -9 - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/15))**(3\/16)*(w*w*w\/w**(-5\/11))**(3\/13) assuming w is positive.\nAnswer: w**(4703\/5720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011398457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, d: 2, b: 4, p: 3, y: 7}. What is prob of sequence bydy?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 - -429. Let x = y - 369. Let 4\/7*z**3 - 6\/7*z**4 + 2\/7*z**5 + x*z + 0 + 0*z**2 = 0. What is z?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.24533 times 0.02?\nAnswer: -0.2449066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eerr when four letters picked without replacement from eereeerrererrrreerrr?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 12*b + 10. Let h be i(-12). Let n = h + -5. Let w(l) = -l + 1. Calculate the remainder when w(-6) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(99) + sqrt(99) + 0 + 3 + sqrt(99)))**2.\nAnswer: 864*sqrt(11) + 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.14065ms to minutes.\nAnswer: 0.0003856775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 23888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3387832 divided by 483976?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 170, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*l**2 - 526*l**2 + 131*l**2 - l**4 + 2 - 8*l + 133*l**2 + 5*l**3 + 132*l**2 to the form p*l**2 + a*l**4 + n*l + x*l**3 + c and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 21*c + 39450 = 0. Suppose h - c = 1516. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 11*z. Let o(l) = -8*l**2 + 64*l + 332. Give -6*f(w) - o(w).\nAnswer: 2*w**2 + 2*w - 332","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvhv when four letters picked without replacement from vojjvvjotitjjjjhj.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**2 + 1. Let r be t(-1). Let f = -3 - r. Suppose -k - 24 = -4*w, 8 = -w + 3*k + 25. Sort w, f, -1 in descending order.\nAnswer: w, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g + 36. Calculate w(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -591505 (b) -5 (c) -8 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*m - 9*m + 29*m - 4.\nAnswer: 78*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by -6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -226485 divided by 5?\nAnswer: -45297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 931232, 931234, 931236?\nAnswer: 931238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1 - 5 - 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10493 or 10491?\nAnswer: 10491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -4 - 5) + -37 + -994 + 994\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -148 (b) -0.1 (c) -19546 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -963 = 7*b - 53. Let v = 130 + b. Solve 4*m = 2*s - 1 - 1, -m + 2*s + 7 = v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 56*z**2 + 2*z - 1. Suppose -4 = -7*k + 3*k. Let t be p(k). Let x = t + -19. Calculate the remainder when x is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 6*b = -b. Let m(t) be the first derivative of 0*t**2 + 0*t**5 + 0*t**4 + b*t - 1\/3*t**6 + t**3 - 9. What is the third derivative of m(d) wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121053361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) -4574 (c) 1\/2 (d) -0.038\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91595 and 10675.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 480496547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 32144.5658 to the nearest 100.\nAnswer: 32100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 - -83.3. Let l = -48.2 - -48.2. What is the biggest value in o, 2.1, l?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11 - -1.71. Let a = 0.4 + c. Let l be (-26)\/40 + (-2)\/(-5). What is the closest to -1 in l, a, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y = -27*y + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66502*h**6 - h**2 - 21157*h + 1?\nAnswer: -7980240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/6 + 1\/3*q - 1\/6*q**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 - 214231*g + 1928160 = 0. Calculate g.\nAnswer: -214240, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1100 and 104852.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a second in milliseconds?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 679184 and 1309?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1194623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*m + 62*m + 60*m**2 + 65*m - m**2.\nAnswer: 59*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 52. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2 + 7*x + 8*x**2 + 2 + 2*x**2 - x**3. Let p be z(7). Suppose -h - 3*h + 4 = p*v, -4 = h. What is the highest common divisor of 80 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 2:50 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123 - 131. Sort -4\/3, d, -0.4, 0.2 in ascending order.\nAnswer: d, -4\/3, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3824 and 13?\nAnswer: 49712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -39*f**3 - 136*f**2 + 8*f - 18. Let l(q) = 34*q**3 + 135*q**2 - 7*q + 17. Calculate 7*i(a) + 8*l(a).\nAnswer: -a**3 + 128*a**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34074 + -8207. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 276 - 271. Solve -2*y - 1 = -l*o, y - 4 = -2*o - 0*y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(84)*-1*3)\/(2*sqrt(12)*-1 + -2*sqrt(192)).\nAnswer: -9*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqkpm. What is prob of sequence qpm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -3. Let n = k - 7. Let r = 3 - 3.3. What is the second smallest value in 0.4, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 3)*42\/9. Let d = k - 4. What is the remainder when d is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 4. What is the nearest to t in -2, -2\/11, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzzrghgbbhhqb. Give prob of sequence zg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -49*h - 1369. Let y be s(-28). Solve 0 = -y*g - 11 + 23 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3, -4\/5, 2\/7, -3, 0.0603?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -c - 6, -3*c + c = 3*q - 16. Let w be 2\/(-8) + (6 - (-1377)\/(-12)). Let x = w - -112. Solve -i + c = -x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113070373 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 6*n**2 - 7*n + 5. Let o be y(5). Let c(z) = -z**3 - 4*z**2 + 6*z + 7. Let u be c(o). Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3\/7 + 10365*z**2\/7 + 606234*z - 8528760\/7 = 0 for z.\nAnswer: -2980, -477, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 842.114 - 832.1. Let s = h - 10. What is s rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729.\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04321 * -253.2.\nAnswer: 10.940772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1683692522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 154, 153, 152, 151, 150?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 10, 1, -22, -65, -134?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 10) to base 11\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5658 or 5537?\nAnswer: 5658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5022462 - -5?\nAnswer: 5022467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3482061547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-939)\/(-2504)*(-2 + 8\/6). Which is the closest to 0? (a) 0.1 (b) y (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.87547961 - -1.8754. Round t to six dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**4 - 3*g**2 + 8*g**4 - 2 - 14*g**4 + (-3*g**2 + 3*g**2 + g**3)*(0*g - 5*g + 4*g).\nAnswer: -10*g**4 - 3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.451 - 0.6\nAnswer: -2.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15\/11 + -743\/44. Find the common denominator of h and -89\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 3*o - 2. Suppose -63 - 19 = s. Let w = -72 - s. Let p = -13 + w. Determine l(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 500244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, 1\/10, 3, -8?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 3*x**2 - x**2 + (-5*x + 4*x + 2*x)*(2*x - 3*x + 2*x) + 8*x**2 - 9*x**2 + 38*x**2 + (-x + 0*x + 0*x)*(-2*x + 0*x - 2*x) - x**2 - 12*x**2 + 4*x**2.\nAnswer: 34*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -ec?\nAnswer: -f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/(-5))\/(9 - 42290\/4700). Let r = b - -5549. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1888298*q**2*s**2 + q*s**2 - 115*q*s - 8596*s**2 wrt q.\nAnswer: -3776596*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*l + 5 = -203*l + r, 0 = -l - 4*r - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19838461 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2420*a**3*y + 3*a**3 - 2*a**2*y + 2*a**2 + 39*a*y - 3*a wrt a.\nAnswer: 14520*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 + -4)*3\/(-2). Let v(w) = -w**2 - 2. Let f be v(0). Let o(t) = -t**2 + 3*t + 5. Let i(j) = j**2 - 1. Let q(p) = f*i(p) - o(p). Calculate q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 665514\/5 or 133104?\nAnswer: 133104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 385536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 8 = -4*z + 2, r = 5*z + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 1 + 2)*(2 - 3 + 2) - 3 - 2 + 6)*(8*x**3 - 11*x**3 - 8*x**3) as f*x**2 + r*x + g + i*x**3 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 7838, 2\/17, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 60773d?\nAnswer: -607738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22665 is divided by 429.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2333 - 11?\nAnswer: -2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 1\/5, -1, 0.13, 17, -2\/9?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211122122011020 (base 3) to base 5.\nAnswer: -11040220240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11491170 to the power of 1\/2, to the nearest integer?\nAnswer: 3390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -0*k + 5*k - 3*c, 8*k + 39 + 81 = -3*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 + 64*p. Let z(o) = -3*o**2 + 94*o. Let f(c) = -8*m(c) + 5*z(c). Factor f(h).\nAnswer: h*(h - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4211, -16837, -37875, -67325, -105187?\nAnswer: -151461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 2*s + 6. Let o be t(-10). Let y = 112 + o. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/14)\/((-2)\/7). Solve 25 = v + h*f, 11 = 3*v - 3*f + 26 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 207245201598*v**2 - 207245201598*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -3. Let t = -2 + s. Solve 11 = -t*k - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -64*x**2 + 3*x - 9. Let p(d) = -77*d**2 + 3*d - 10. Let z(t) = -5*g(t) + 4*p(t). Calculate z(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21842.4 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3080\/28)\/11*4\/6)\/(10\/(-105)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3427*c + 105*c**2 - 104*c**2 + 1701*c + 1694*c.\nAnswer: c**2 - 32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*f**3 - 5*f**3 - 96*f**3 - 29*f**3.\nAnswer: -275*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4017 divided by -3?\nAnswer: -1339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + 5 + sqrt(125) + -2.\nAnswer: 8 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*2*40\/(-64)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 56 + 0 - 25 - 6*s - 17.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/4*102944\/16085.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 56\/29 - (-560)\/3915\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {a: 7, y: 3, k: 3}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 116507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 18 = 34*g - 37*g, -d = -4*g - 12. Solve 8 = 4*z + d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*l = -82*l - 4*j - 26, 2*l = 4*j + 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, 4, -654, 1, -5 in ascending order.\nAnswer: -654, -5, -3, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 8, 9, 10, 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/((-2)\/(-6)). Let f(l) = -4*l + 1. Let r be f(s). Suppose 3 + r = 4*a. Solve -4*q = 4*i - 16, -a*i + 0*q - q + 5 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2, -78\/11, -137 in increasing order.\nAnswer: -137, -78\/11, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -1)\/((-2)\/6). Let i(y) = 4*y**2 - 2*y**3 - 131 + y + 127 + 0*y. Is i(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c. Let v(x) = -7*x + 9. Let g(w) = -3*w + 4. Let t(l) = 9*g(l) - 4*v(l). Calculate -q(h) + 3*t(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578082882.\nAnswer: 2, 3, 13, 83, 89293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3 + 82378716*k**2 + 565520988438663*k - 1131042306392214 = 0 for k.\nAnswer: -13729787, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 13*c - 2*c + 14*c + 26*c**4 - 3 in the form h*c**2 + w + x*c**4 + u*c**3 + o*c and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - ((5 - -16) + -11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1046486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*r + 59*r + 7859205 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -10.95. Put t, 1\/3, 2 in descending order.\nAnswer: 2, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78.5 + 77.5. Let m be ((-2)\/8)\/((-18)\/4). Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0356 + 0.0415. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -59. Sort g, 0.5, 4 in decreasing order.\nAnswer: 4, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -3. Let z = f + -5. Suppose -z*n = -2*s + 93 - 19, 3*s - 103 = n. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 616*k**3 + 10*k - 45. Is b(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 574, 1546, 3262, 5722?\n\"Answer: 372*q**2 - 144*q + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, a: 5, f: 1, x: 6}. What is prob of picking 1 o and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51521505 - 8.6.\nAnswer: 51521496.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by ((-55)\/(-5) - 9)*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*((-2)\/4)\/((-194)\/(-388))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 4*a + 1. Let k be y(-3). Suppose k*c = c + 396. Let d = 204 - c. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 9:49 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.875 times -2513?\nAnswer: -2198.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 5*l**4\/24 + 4*l**3\/3 - 2*l**2 - 1. Calculate f(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -197525.754 * 0.4\nAnswer: -79010.3016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6 + 3.5. Let o = 148.815 + -149. Let f = -0.315 + o. Put f, -5, d, -2\/5 in descending order.\nAnswer: d, -2\/5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 312.07072 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*f = 7, 0*f = f - 1. Suppose 13*m = 9*m + 40. What is the lowest common multiple of m and (-8)\/s*2\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 0*n + 0*n)*(-2 + 3 - 3) - 14736 + 255*n + 14736 + (0*n - n + 0*n)*(1 - 2 + 0) as m + q*n and give q.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 1450.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5459259608?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*b + 33*b + 1116 = -70*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416477.\nAnswer: 416477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r**2 + 2*r - 3. Let o = -4 + 9. Suppose 0 = -4*v + 4*k + 40, -o*v - 5*k + 125 = 35. Calculate the remainder when u(2) is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-2 + sqrt(272) + sqrt(272) + -2 + sqrt(272) + sqrt(272))*-4)**2 - ((sqrt(272) - (3 + 1 + sqrt(272)))**2 + (sqrt(272) + 0)**2*-5 + sqrt(272))).\nAnswer: -284928 + 8208*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d + 7 = 5*n + 16*d, d = 3*n - 5. Let f be 1 - (-2 + 237\/63). Let u = f - -4\/3. What is the nearest to -2\/5 in 0.3, u, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 4*q - 3. Let v(p) = p**2 - 2*p - 1. Calculate -t(o) - 4*v(o).\nAnswer: -3*o**2 + 4*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -550441728?\nAnswer: -550441727.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.188461367 rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -459, 4, 5 in descending order.\nAnswer: 5, 4, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1470727\/119 - -12359. Find the common denominator of 16\/301 and w.\nAnswer: 5117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -18. Let n = v - 4.7. Which is the third biggest value? (a) 2\/7 (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1127c6 + -3?\nAnswer: 1127c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -375, -665, -957, -1245, -1523?\nAnswer: -1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 14) to base 16.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/1*(-32)\/(-48). Suppose -c - 4*h - 166 = -4*c, 0 = -t*h - 16. Calculate the highest common divisor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 = -3*t, -1 = u - t + 2. Let x be -3*(0 - -1)*u. Solve -3*d = -5*d - x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*o**2 - 942*o**2 + 469*o**2 - 37*o**3.\nAnswer: -37*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 476561117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4291 - 4290. Let w = -0.9 + 0.2. Let z = w - 0.3. Sort z, 4, x.\nAnswer: z, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842990495 is divided by 9139?\nAnswer: 9135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 1400*p - 122500.\nAnswer: -4*(p + 175)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**2 + 186*w - 32. What is the remainder when 302 is divided by q(37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from {g: 2, l: 2, r: 1, s: 2, o: 1, n: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 - 6*m**2 + 1. Suppose -3*o = 3*j - 15, -2*j - 1 = -j - o. Let c(f) = 2*f**3 + 5*f**2 - 1. Calculate j*l(a) + 3*c(a).\nAnswer: 2*a**3 + 3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/5, -1.3, 1244\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b - 6625 = -9055. Let n = -36 - -63. What is the smallest common multiple of n and b?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-7) + 6\/21. Let v be 9 + (0 - -3)*i. List the prime factors of v\/(-15) + (-62)\/(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/559 - -21773\/7826. Let z = 4\/2213 + -210307\/39834. What is the common denominator of v and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*n + 8 + 16 = 0, 5*z = -5*n - 70. Let a = z + 25. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(110) - sqrt(110)*2)*5)\/((sqrt(30)*1)\/sqrt(3) + (sqrt(110) + (sqrt(110) - 1*sqrt(110)))\/sqrt(11)))**2 + 2.\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 1)*(-3 + u + 3) + 0*u + 2*u - u)*((-2 + 1 + 0)*(-u - u + 0*u) - u + u + u).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-6)\/(-6)))\/((-3)\/14)*(-46782)\/5198.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.124281015 and 4.\nAnswer: 0.49712406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 10:10 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6234328 (base 9) to base 6\nAnswer: -155210512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*j**3 - 3)*(2*j + j - 2*j).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -93*r**2\/2 - 273. Let z(x) = -13*x. What is z(n(s))?\nAnswer: 1209*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -6\/23 (c) -44 (d) 2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -16 + 16 - (-6 - 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*d**2 - 3685 + 3685 to the form o*d + z + n*d**2 and give n.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.700433 rounded to one decimal place?\nAnswer: -31.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99479641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p + 411 = 0. Let o = p - 961\/7. What is the second biggest value in 2\/3, -1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51865238 is divided by 1043?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-20)\/4 - -3. Find the second derivative of 8*c - c**4 + h*c**4 + c wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**7\/168 - f**6\/120 + 3*f**5\/80 + 5*f**4\/48 + f**3\/12 - 5*f. Factor p(h).\nAnswer: -h*(h - 2)*(h + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61509 and 435?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, j: 1, g: 1, d: 1, k: 1, u: 1}. Give prob of picking 2 d and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = 8. Let f be 1074\/y + 6\/21. Calculate the greatest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q - 16. Let s(v) = 2*v + 6. Let a be 17 + -4 + (-6)\/9*3. Let i(m) = a*s(m) + 4*w(m). Let n(c) = -c + 1. What is -6*i(z) + 13*n(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12326163, -12326288, -12326413, -12326538, -12326663?\nAnswer: -12326788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -190 + 198. Suppose 3*f = -5 + m. Which is smaller: -3\/226 or f?\nAnswer: -3\/226","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1479 - -2470. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-48)\/((x\/x**5*x)\/((x**(-6)\/x)\/x*x)))\/((x**3\/(x*x**(-4)))\/(((x*x\/(x\/(x*x**2)*x)*x)\/x)\/x**(-2))) assuming x is positive.\nAnswer: x**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 64. What are the prime factors of (31 + -3 + u)*4\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zczzcc. What is prob of sequence zz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 4180?\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5503788 is divided by 1375944.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16 - 0)\/((-4)\/24). Suppose -69 = -3*c + 2*w, l = 4*c - 0*w - 4*w. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 - -7 - (0\/(-2) + -5). Suppose 48 = 5*a + s. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7682.065946 to the nearest integer.\nAnswer: 7682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + (-34 + 60 - 15)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t + 10 = 0. Let x = t - -7. Solve -x*o - 10 = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 81?\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6890 + -69007\/10. Find the common denominator of -23\/594 and t.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-1*12\/(-8)) + 14. Let g be 24\/q + 15\/6. Solve 0 = -g*z + 5*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) - (-7)\/12. Let a be (1\/3)\/((-13)\/6). Let p = 261 - 258. What is the nearest to -0.1 in a, p, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -2, -2, -12, -38?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.04864648, 1\/3, 6?\nAnswer: 1.04864648","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 9*h**2 - 10*h - 1. Let r be y(-8). Suppose -3*m - j = -43, j = -2*j - r. Is 24 a factor of (m\/(-12))\/((-3)\/72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2536186 + 23*h - 2536186.\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -328293947 and -5.\nAnswer: -328293952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14843\/19788 + -1\/9894. Sort 31\/10, r, -3\/4.\nAnswer: -3\/4, r, 31\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16739, -16744, -16761, -16796, -16855, -16944, -17069, -17236?\n\"Answer: -n**3 + 2*n - 16740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*n = 956 - 262, 0 = 3*p + n - 697. What is the units digit of (60\/20)\/(-2 - (-467)\/p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 83\/5. Let w = 34900 - 34905. What is the closest to -1 in 0.5, w, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*t - 4. Suppose -184 = -s - 3*q, 2*s + 2*q = t*s - 563. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -79*l - 4 - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*r**3 + 169*r**2 - 169*r**2.\nAnswer: 88*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1425 and -0.3.\nAnswer: -1425.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133639, 130369, 124919, 117289?\nAnswer: 107479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.6078 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 - -203)*17\/102?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 533956311?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.046 and 0.4?\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 52053402?\nAnswer: -52053353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 370 = -0*b. Suppose 3*d = d + b. Let i = d - 20. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(1\/9)*m)**38*m\/m**(-31)*m*(m\/(m\/m**(2\/15)*m))\/m assuming m is positive.\nAnswer: m**(6721\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2, -2\/97, -1\/2?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 10*k**2 - 30*k - 36. Give z(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 217064109*u**3 + 3131648*u**2 - 17*u + 2 wrt u.\nAnswer: 1302384654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 109, 1, 0.05 in decreasing order.\nAnswer: 109, 1, 0.05, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.5, -1\/2, 2\/11 in decreasing order.\nAnswer: 7.5, 2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.57, -9.3, -0.1, 0.4, -0.5, -5, -0.8?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 8:58 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16223101 + 1?\nAnswer: -16223100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwewekckmewwwmwmw. What is prob of picking 1 e and 1 c?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/182*(-3)\/(-6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 54*m.\nAnswer: 2*m*(m - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -3.1. Which is the biggest value? (a) -3 (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33587999?\nAnswer: 461, 72859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 - y + y + (-17*y**2 - 23*y + 23*y)*(4*y - 13*y + 5*y) as m*y**3 + w + r*y + x*y**2 and give m.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/1403?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + 2*z)*(2*z**3 + z**3 - 2*z**3) + 10*z**4 - 11*z**4 - 34*z**4.\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + ((-149)\/18 - 82\/369). Let g = 12 - 23. Is g at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -23*q**2 + q. Let i(w) = -58*w - 53*w + 110*w. Determine i(c(a)).\nAnswer: 23*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/28626 and -121\/7340.\nAnswer: 286260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by -6?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h - 4. Suppose -4*t = 5*i - 15, 4*i + 2*t - 4 = 8. Let l be q(i). Solve -2*b + l = -6*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p - 78 = -12*p + 54*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21674, 21672, 21672, 21674?\nAnswer: 21678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17555, -17615, -17675, -17735, -17795?\n\"Answer: -60*i - 17495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1323*d - 456913 + 456913)*(4 - 2*d - 4) to the form r*d**2 + j + b*d and give r.\nAnswer: -2646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**2\/2 - 11*n + 41. Let o be k(7). Does -17\/4 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 195*h**2 + 20280*h - 307580.\nAnswer: -5*(h - 26)**2*(h + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 3. Suppose 0*c = c - 2. Suppose -y + c = z, -2*y + 4*z + 1 = 9. Determine t(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -48\/4979 (b) 3 (c) 2\/7 (d) 3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 + 229. Let a = v + -115. Is a <= 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26\/3659 - -1621275\/47567. Let z = f + -34. Is 1 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y. Let q(w) be the third derivative of w**4\/6 - 17*w**3\/6 - 1033*w**2. What is f(q(z))?\nAnswer: 20*z - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 73.62833mm?\nAnswer: 73628.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oawouccm. What is prob of sequence cwa?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -524 in -2, -1, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -q + 3. Suppose -q*i + 4*x + 1 = -i, -x + 11 = -4*i. Is (-884)\/i - (-6)\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/5 + -1 + ((-237)\/632 - (-57)\/24)\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/8)\/((-2)\/(-8)). Solve -1 = l*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*n + 1270 = -1420 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b. Suppose 3*w = 3 + 15. Let p(s) = -s**2 + 7*s + 1. Let d be p(w). Let k(y) = 3*y + 15*y - d*y. Calculate q(k(h)).\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from ptccttjtjjjttttttjt.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v**2 - 32*v + 16. Let s(f) = 2*f**2 + 6*f - 3. Let u(o) = 3*r(o) + 16*s(o). Let y(l) = -3*l**2. Calculate 3*u(k) + 4*y(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 215 + 19. What is the highest common divisor of y and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2593397*l**2 - 1296673*l**2 - 1296725*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*b - 357*b = -83*b + 21774 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 - 2*x + 3. Let u be h(4). Let z = 112 + u. Suppose -3*j = -z + 10. Calculate the highest common divisor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*q + 573553 + 242162 - 85072. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (576\/342)\/16 + (-490)\/(-38) - 6. Put 6, 55, h in increasing order.\nAnswer: 6, h, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1207863876 or -1?\nAnswer: -1","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: Calculate the remainder when 736 is divided by 140.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -8. Let w be ((-4)\/t)\/(2\/(-12)). Let h = w - -17. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -331?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*m - 5*m. Suppose 0 = -m*d + 4 - 0. Sort d, 8, 4 in descending order.\nAnswer: 8, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1294 divided by -348.\nAnswer: -647\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + -12.94. Let l = w + 9. Which is the nearest to 0? (a) 8 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -41. Let i be (-4)\/r - (-3)\/(-15). Suppose i*v = 5*v - 10. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 2*m**3 + 0*m**2 + 2*m - m**2 + 2 as f*m + p + w*m**3 + v*m**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 4:54 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 286567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1877.4*130.\nAnswer: 244062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 609*v - 526*v + 249 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 133*k - 1991. Give g(-83).\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -54946\/5 (b) 2\/17 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 1560792*z + 203005972272.\nAnswer: 3*(z - 260132)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 15. Let l = r - 17. Suppose -4 = -j - 0*j, -2*z - l*j = -120. 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: Which is the biggest value? (a) -3 (b) 2 (c) -4 (d) 2\/7 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, j: 1, u: 1, t: 6, s: 3}. Give prob of sequence sues.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14501 and 459.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 10\/4)\/(57\/(-1482)). Let a(m) = m**2 - 8*m - 13. Let s be a(10). Suppose d = -s*i + 2*i - 13, 200 = -5*d + 2*i. Is l greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 9*z + z)*(z**4 + 0*z**4 + 0*z**4) + 18*z**5 - 6*z**5 + 9*z**5.\nAnswer: 24*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 4*a + 55, -2*g + 65 = -6*a - 7*g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q - 9*q**2 - q**3 + 13*q**2 - 4*q**2.\nAnswer: -q**3 + 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 3, c: 6, p: 2, g: 2}. What is prob of picking 1 g, 1 d, and 1 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 215613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*q = 12*q - 417 - 407. What is the greatest common divisor of q and 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by 20774970?\nAnswer: -13\/6924990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 2:52 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*w = -143*w + 1480*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - g + 113, 0 = -250*o + 254*o - 2*g - 82. What is the remainder when 64 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.148 + 10.26. Which is bigger: o or -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 57*k**2\/2 - 62*k + 33. Is 35 a factor of w(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1507.84 - 25936466\nAnswer: -25937973.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 3 + 3 + (-2 + 5 - 2)*(3*z + 4*z - 4*z) + 42 + 64 - 6*z - 122 to l + h*z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -29, -27, -9, 31, 99, 201?\n\"Answer: f**3 - f**2 - 12*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.49 + 0.002\nAnswer: -2.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 16 = -8*c. Solve -g = c*m + 12, 2*g + 2*m + 8 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4784319928.\nAnswer: 4784319921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1\/6, 93, 65, 0.4 in ascending order.\nAnswer: 1\/6, 0.4, 1\/2, 65, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -3*a - a**2 + 0 + 3\/2*a**3 - 7\/12*a**4. Determine w so that i(w) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*(w*w**(-3\/5)*w*w)\/w*w*w))\/(w\/w**(3\/2)))\/(w\/(((w**(2\/3)\/w)\/w)\/w)*(((w*w*(w\/w**(-2))\/w)\/w*w)\/w)\/w))**46 assuming w is positive.\nAnswer: w**(-5681\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**4\/4 - 4*v**3\/3 + 3*v**2\/2 - 3*v + 3. What is the lowest common multiple of 4 and w(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/2339 + -95767\/51458. Find the common denominator of (-9)\/(-48)*(-74)\/6 and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3263875 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 67737351?\nAnswer: 67737351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/11)\/i))**(1\/5))**22*(i**1\/((i*i*i**9)\/i))\/(i**6*i*i*i**(2\/7)*i) assuming i is positive.\nAnswer: i**(-304\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 169*i**3 - i**2 - 7*i + 7. Let f be r(1). Let b be (-2)\/12 + 28\/f. Factor 2\/3*n**2 + b + 4\/3*n.\nAnswer: 2*n*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 33 + 15. Let r = -19 + w. Does 9 divide 8*2 - (r + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + 1 + sqrt(304) + -5)*6)**2 + 0 - ((sqrt(1539)*1 - sqrt(1539))*-3 - ((sqrt(2299) + -1)**2 - (3 + sqrt(304)))).\nAnswer: -2330*sqrt(19) + 46649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(84)*4)\/((sqrt(108)*1)\/sqrt(9)).\nAnswer: -8*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11210 + 11185 - (1 - 74).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006026 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2107.75, -4\/3, 3.54 in descending order.\nAnswer: 2107.75, 3.54, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39a12 (base 13) to base 14.\nAnswer: 2b0a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2516 and 204.\nAnswer: 7548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 177268250 to the nearest one million.\nAnswer: 177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 - 7. Let f = -35 + 25. Let l be 12\/(-3) - f - 2\/2. Let a(h) = -2*h**2 - 4. Give l*a(j) - 3*p(j).\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698750 = 84*s - 1701606 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13854377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 - -1.7. Let v = -0.4 - m. Let j = -11 - -12. Sort -6, v, j.\nAnswer: -6, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13440241 (base 5) to base 3\nAnswer: 21010010211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1029*n + 5140. Let b be d(-5). Let c be 6\/(5 + -2 + -1). Let o(u) = 2*u**2 + 2*u - 4. Let f(g) = g**2 + g - 2. What is b*f(j) + c*o(j)?\nAnswer: j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80 (base 14) to base 9.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**3 - 11*d**2 - 6*d - 14. Let x be z(10). Let q = x + -1043. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 723\/1973 or -1?\nAnswer: 723\/1973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 93, 6024 in ascending order.\nAnswer: -2, 93, 6024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 4*o**2 + 5 + 7*o**4 + 2*o**3 - 4*o**4 + 3*o**4 - 6*o**2 as a*o**4 + q*o**3 + z + k*o + s*o**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*a = -7 + 2, 5*a = -5*k + 30. Suppose 0 = -q + k*q + 32. Is (-138)\/q*16\/6 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 133*l**3\/3 + l**2\/2 + 2*l + 1. Is i(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79400000 to the nearest 1000000.\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g**2 + 0*g**2 - 4*g**2)*(-2*g - 3*g + 3*g) + 8*g**3 + 3*g**3 - 14*g**3 + 15*g + 2*g**2 to z*g**3 + k*g**2 + n + s*g and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lsinhts. What is prob of sequence stil?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -5*i**4\/8 - 8*i**3\/3 - 3273*i**2 - 2*i. Give w(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003101242749 rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44234 and -4.\nAnswer: -176936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2745 by -549.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**(2\/11)))\/l*l)**(4\/13)\/((l*l*l**(-2\/7)*l*l)\/l)**(1\/10))**(2\/9) assuming l is positive.\nAnswer: l**(-719\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 9. List the prime factors of 1 + (n - 2) + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-7) - 5\/5. Which is the third biggest value? (a) 0.2 (b) m (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87224\/10903*-2*1*(-2)\/44\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8147*z - 2989946. Determine a(-367).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 8:10 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4*d = 68, 3*c - 1 + 53 = -2*d for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*s - 12*s**3 + 9*s**2 - 2*s**2 - 12*s - 2*s**4 - 10*s + 37*s in the form o*s**2 + y*s + i*s**4 + u*s**3 + z and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 252257 = 35317. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92*j*t**3*w**3 + 3*j*t**3*w**2 + j*w + 3*t*w**2 wrt w?\nAnswer: 552*j*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*l = -197*l - 8016. Let u = 302 - l. Round u to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 432*i**4*o + i**4 - 1537*o wrt i?\nAnswer: 1728*i**3*o + 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c (base 15) in base 14?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6393, -12637, -18881, -25125, -31369, -37613?\n\"Answer: -6244*d - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-15))\/(-8)*240\/18.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1165493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124767 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37.2 - -41. Let f = o - 3.04. What is f rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5\/5 - 2271*d**4\/5 + 91341*d**3\/5 - 898053*d**2\/5 + 2568552*d\/5 - 447876 = 0. Calculate d.\nAnswer: 2, 9, 29, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 22*c**2 + 48*c - 72.\nAnswer: 2*(c - 1)*(c + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*h - 18*h - 576*h + 13*h as w + f*h and give f.\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 20*x + 13. Let z be c(8). Suppose 7*y - z = 3*y + i, 62 = y - 4*i. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, 0.4, 393\/314, 2?\nAnswer: 393\/314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43099 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17977*k**2*y**2 + 2*k**2*y + 64*k*y**2 - 74*k + 3*y**2 wrt k?\nAnswer: -35954*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-11 - -7)) + -5 + (2 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 5, 1\/5, 1.48?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10869, 10834, 10799?\nAnswer: 10764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmn when three letters picked without replacement from bbcbppnpmbccntcpppm?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20 - -65 - 8*1) + 5. Let q = -49 + 88. Which is bigger: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5173756 and 10.\nAnswer: 25868780","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: (-48)\/((-135)\/(-243)*18)\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.5. Let l = 0.2 + a. Let u = -106\/15 + 32\/5. Which is greater: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywzzzzyzw. Give prob of sequence zzwy.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 379 + -435. Which is bigger: -54 or b?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -3. Put s, -3, -1 in ascending order.\nAnswer: -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.1123 + 0.1123. Which is the third biggest value? (a) 2 (b) o (c) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 - 29*f + 31. Let g be l(-20). Let p = 824 + g. List the prime factors of p.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Let k(x) = -5*x**2. Give k(h(b)).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + 150 = -161 + 25 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130 + 128. Let n(s) = -s**3 + s**2 - 5*s - 15. What is n(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2356 + 2620. What is the remainder when a is divided by 90?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.82 (b) -0.5 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1007*v**2. Let f(n) = -11*n**2. What is w(f(q))?\nAnswer: -121847*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 268482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 20 = -2*l, -5*l + q - 19 = -23 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 + 65*l**2 - 13*l + 419. What is the hundreds digit of x(31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/21 - 0 - (-3)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 590492.3 millilitres?\nAnswer: 590.4923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*f - 10. Let c be 2*f\/(-4) - 70. What is the units digit of c\/(-3) - 8\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144723332?\nAnswer: 2, 13, 1091, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/12*(-6)\/4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9869 and 695.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 32*l - 11. Let d(h) = 14*h**2 + 139*h + 52. Let f(q) = -9*a(q) - 2*d(q). Let o be (-3 - -2)*(1 + -11). Determine f(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*f + 3010*f + 311406 = -56013 - 86397 for f.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*h + j, -4*h - 3*j = -h + 15. Let g(o) = o**2 + 6*o - 6. Calculate g(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 11*x + 12. Let h be f(9). Calculate the remainder when 17 is divided by (7 - 1)\/(-5 - h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -468 divided by -234\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017831 to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 570 and 23655?\nAnswer: 47310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*q - 1462 = 0, -g + 2*q = 2*g - 1086. What is the remainder when g is divided by 94?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6*c**2 + c. Suppose 5*g = -20 - 5. Let y(d) = -d**2. What is g*y(a) + j(a)?\nAnswer: -a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2\/(-2) + (-60)\/25?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*w, -1 = -3*x - 5*w - 0*w. Sort x, -5, 3 in decreasing order.\nAnswer: 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2. Let n(t) be the second derivative of -t**4\/4 - 31*t. Give j(n(c)).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) 0.1 (b) 5 (c) 349 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5349*v**3 - 9012*v**2 - 21533356?\nAnswer: -16047*v**2 - 18024*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.307 - -29?\nAnswer: 28.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 24*j**2 - 3*j - 5. Determine v(-24).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*f + 4*f. Suppose -3*v = -6, 5*v = f*l + l - 386. Let u = 104 + -92. Calculate the highest common factor of u and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13351.5 minus -14?\nAnswer: -13337.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -5, 0, 2\/3, 16\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -9. Which is the second smallest value? (a) r (b) -2 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 882 and 4998.\nAnswer: 14994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*s + 9*f + f - 6*f + 23, 3*s + 12 = 3*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let w = -6 - -1. Let k(q) = -2*q. Let o(f) = w*l(f) + 3*k(f). Let i(h) = 7*h. Let y(c) = 15*c. Let u(z) = 9*i(z) - 4*y(z). Determine u(o(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {m: 18, i: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(9*u - 11*u - 21*u)*(2*u - 4 + 7 - 16*u) to k*u**2 + m*u + t and give m.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/153, 0.2, -5, 602\/15?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2, -2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -672 - 1450*c - 126*c**4 - 3*c**5 - 200*c**2 + 382*c**2 - 1032*c**3 - 683*c - 2552*c**2.\nAnswer: -3*(c + 1)**3*(c + 7)*(c + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2971 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 6*n + 5. Let l be a(4). Let o be l\/9 - (-32)\/78. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/3 - 100*m**4\/3 - 172*m**3 - 938*m**2\/3 - 733*m\/3 - 70.\nAnswer: (m - 105)*(m + 1)**3*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 5*r**2 + r. What is v(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -603, -611, -621, -633?\n\"Answer: -w**2 - 5*w - 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 475*c - 14999. Determine a(34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 154 = 5*d. Let k = 21 - 15. Suppose 0 = 5*q + d + k, 4*q + 92 = 4*x. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*t + 27 = 0, -2*g + 4 = -5*t - 35. Suppose -r = 2*r - g. Suppose -3*v + 37 = -r*w + 97, 3*w - 5*v = 56. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804*w + 10975 - 523 = 0 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -u, -1507*b + 1510*b + 4*u - 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 4*a**2 + 2*a**2 + a**2)*(-4*a + 0*a - 4*a).\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10739, -21277, -31371, -40799, -49339, -56769, -62867, -67411?\nAnswer: -70179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*c = 103*c - 60*c + 2909945. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 0 - 5*m**2 - 7\/24*m**4 + 0*m + 1\/3*m**3. Determine t(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 3:44 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5430 - 0.5.\nAnswer: -5430.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q - 105 = -28*q. Let a = q - 21. Suppose a = 4*b - 10*b + 1194. Is b a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6 = 4*k. Let f = -22 + 11. Let q = 27 + f. Calculate the remainder when q is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/15 in -1, -1073, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 8 = -6*c + c, 4*c + 16 = 0. Suppose 0 = 5*p - 2*p - 6. Let a be (8\/(-10)*p)\/(4\/(-10)). Sort -4, a, d in decreasing order.\nAnswer: d, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9524 + -1.0476. Put d, -109, 2\/35 in ascending order.\nAnswer: -109, d, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**3\/3 - 9*k**2\/2 + 3*k + 7. Is 11 a factor of l(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 193490 * 188\nAnswer: 36376120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*y**2 + 3*y - 2*y + 4*y**2 - 172*y**2 - 3*y - 2*y.\nAnswer: -404*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8042*g = 8045*g + 2*a - 35, -2*a = -8*a + 24 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -733.05 + 0.55. Let u = y - -732. Which is the nearest to -0.1? (a) u (b) -0.34 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3480 (b) 15 (c) -5 (d) -48\/11 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 - 8*g - 5. Let d(o) = -3*o**2 - 5*o - 3. Suppose 0 = 2*x - x + 7. Let q = 1 - x. Calculate q*d(c) - 5*h(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 157000 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 12:21 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 450\/700*(-8)\/6?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*i + 521*i - 6*f - 141 = 1036*i, -3*i + 4*f = -69 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466 = -7*d - 39. What is the remainder when d is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/5 - 391614*h\/5 + 2114424 = 0. Calculate h.\nAnswer: 27, 195780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 61470 divided by 3?\nAnswer: 20490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n. Suppose p + 4 + n = 0. Let q = -3 - p. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 7*m**2 - 133*m + 98. Determine l(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6962 + 8054. Calculate the smallest common multiple of 819 and u.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779468599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -92904.69992 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - j - 81 = -80, 5*q + 5*j + 30 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18334.\nAnswer: 2, 89, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 4*u - 17. Let p = 37 + -44. Let w be m(p). Solve -w*a - 12 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 59*v + 4092. Let c be x(-69). Solve -t - 4*u = 4 + 7, -3*t - 6*u = c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1367541, -1367529, -1367517, -1367505, -1367493?\nAnswer: -1367481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -223, 35, 4, -8, 29, 5.\nAnswer: -223, -8, -1, 4, 5, 29, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/161496 and 67\/4791048?\nAnswer: 14373144","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 + 190. Is n a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1\/309, -23\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 5*a**2 + a**2)*(-a + 1 - 1) + 183*a**2 - 3 - 183*a**2 + 9 - 48*a**3 + 26*a**3.\nAnswer: -23*a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -82 (b) 90 (c) -4 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33213\/8 + 4141. Let a = -5482\/21 + 790\/3. Calculate the common denominator of i and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2. Let s(v) = -v**2 + 5*v - 4. Let j be s(4). Let d be ((-3)\/(-6) + j)*0. Let k(a) = d*a - 3*a + 2*a. Determine p(k(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9745*g - 51. Let b(v) = -975*v + 5. Give 21*b(a) + 2*j(a).\nAnswer: -985*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1195 - 3*y**4 + 1195 + (-y**4 + 2*y**4 + y**4)*(-7 + 2 + 2).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*f = 114*f + 1122 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179897, -2, 5, -12, -1 in ascending order.\nAnswer: -179897, -12, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 10*v + 7. Let o be f(-10). What is the greatest common factor of o and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111826 rounded to three decimal places?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = -87485 - 28030 + 20910. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -95. Solve -q*x = 3*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nrnnrdddiudduudurd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**2 - 14*v + 61. Let n(j) = -40*j - 131. Let g be n(-3). What is the thousands digit of x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 296 + -708. Let d = v - -688. Let z = d + -278.22. What is z rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2143*f + 1084*f - 1262*f - 3937*f - 1100*f)*(-2 + 3 - 3) to c*f + d and give c.\nAnswer: 14716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 9*x**2 + 23*x + 11. Let u be g(-11). Solve -2*n - 8 + 0 = u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 231943628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4423, -8829, -13221, -17599, -21963, -26313?\n\"Answer: 7*v**2 - 4427*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -5*j - 25, 4*j + 20 = 5*a - 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28207961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -85, 0.224674, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4*l = -10, -238*l + 3 = -2*a - 237*l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-396*g - 10*g + 3*g)*(-4 + 4 - 6*g).\nAnswer: 4836*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*sqrt(500))**2.\nAnswer: 50000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.38218 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.109 + 41.891. Does -7 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -32\/155 (c) -5 (d) -0.3 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-432)\/378 - 1\/((-168)\/164). Let m = 0.6 - 4.6. Which is the closest to 0.1? (a) m (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcyem. What is prob of picking 2 e and 2 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -36*t**3 - 22*t**2 - 22*t. Let j(y) = -5*y**3 - 3*y**2 - 3*y. Suppose a = -3*a - 5*x - 186, 0 = -a + 5*x - 34. Determine a*j(b) + 6*h(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -39. Suppose 7*p - 3*p - 5*k + 38 = 0, 0 = 3*p - o*k + 29. Let y(n) = 6*n - 5*n + 15 - 1. Determine y(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 41\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 9*u - 15. Let l be c(-7). Let m(y) = 3*y**2 - y. Determine m(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 43*k**2 + 836*k - 1455. Determine t(-21).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 - -8313755.\nAnswer: 8313788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + (-1 - 0)*(-4 - -5). Suppose z*p - 130 = 3*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/21)\/y)\/y*(y\/(y*y**(4\/7)))\/y*y*y*(y\/(y\/(y**1\/y*y))*y)**49 assuming y is positive.\nAnswer: y**(289\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + z - 8 = 4*z, 3*z - 12 = 0. Let h(q) = -q**2 + 12*q - 10. Let w be h(s). Solve 5*m - 16 = -7*x + 3*x, -5*x + 5*m - w = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -20 (b) 0.69 (c) -0.1 (d) -3\/28 (e) 3 (f) 0 (g) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -131, -128, -125, -122?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 544?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:03 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69005 is divided by 68986?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgo when three letters picked without replacement from {o: 2, h: 1, w: 4, p: 4, g: 1, q: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -187868.433?\nAnswer: 187868.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 7:54 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1308 + 1307.3492. Round k to two dps.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10761)\/68*(-4)\/3. Suppose 4*i = -2*d - 148, -4*d = -9*i + 4*i - t. Is i equal to -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/11 (b) 0.03 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5)*-5)\/((-15)\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**2 + 33*l + 13. Give p(3).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107*f*m**2 - 51*f*m - 206*f*w + f - 189*m**2 + 82*m*w + 342*w with respect to f.\nAnswer: -107*m**2 - 51*m - 206*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88 - -155. Let t = -57 + r. Let z be t\/4 - (-5 - -9 - 1). Which is the closest to -25? (a) -2\/3 (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 98095046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -3, 57869\/3, -0.2, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 5\/2*i**3 + 0*i - 2*i**4 + 1\/2*i**5 + 0.\nAnswer: i**2*(i - 2)*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 11*i**2 - i. What is the least common multiple of z(-1) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5\/(6\/21 - (-24)\/(-280))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4346432 + 3532?\nAnswer: -4342600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2. Let p(u) be the third derivative of 3*u**4\/4 + 53*u**2 - 2. What is x(p(q))?\nAnswer: 324*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 4:51 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329 - 73 = -134*c. Solve -k - 2*r = 3, 0*k + c*r + 1 = -5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1595 - 1367. Calculate the highest common divisor of 285 and g.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 - 2)*(3 + 3\/(-6)). Suppose -5*c + x = -3*l + 4, -4*l + 24 = 3*c. Suppose -l*y = -106 - 191. Calculate the highest common divisor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2 + 3*a**2 + 3*a**2 + 4 - 6*a**2 with respect to a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f + 8 = 0. Suppose 12 = 2*c + j + 5, f*c + 5*j - 17 = 0. Solve 2*u - 5 = 3*u + 4*v, 5 = -u + c*v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**3 - 5*w**2 - 2*w + 6. Let l(m) = m**2 - 1. Let k(u) = -5*l(u) - n(u). Let v be ((-30)\/105)\/(2\/(-7)). List the prime factors of k(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 456 + 9664. Let g = i - 533. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5042 times -0.5?\nAnswer: -2521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 225022282 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 0.008691541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -c + 3*w, -w = -5*c + w + 55. Let k be c\/3 - (-8)\/(-12). Suppose -k = -2*p + 13. Calculate the remainder when 23 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -305*r + 13. Let s = 29 + -30. What is the units digit of i(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 16.26566\nAnswer: 3.253132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -741*g**2 - 1501*g. Let y(a) = -742*a**2 - 1504*a. Let o(u) = -4*q(u) + 3*y(u). What is the second derivative of o(v) wrt v?\nAnswer: 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y**2 + y + 2. Let o(t) = -t**2 + 1. Let z(n) = n**2 - 2*n - 5. Let p be z(-5). Suppose 0 = -18*k + p + 60. Determine k*o(g) - f(g).\nAnswer: 2*g**2 - g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 95*u - 939. What is c(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10429440 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 x(n) = 48*n. Let o(c) = c**2 + 2. Calculate x(o(s)).\nAnswer: 48*s**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3666?\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 150281 or 150293?\nAnswer: 150293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 218. Suppose -2*a + c = 4*p, 6*p + 124 = 10*p - 5*a. Calculate the remainder when p is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2496*t**3 + 665 wrt t?\nAnswer: -7488*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*(-14)\/(-21))\/((-2)\/717). Let k = x + -1676\/7. Which is the closest to 1? (a) -0.5 (b) -1 (c) k (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.22, -31, 0.29 in ascending order.\nAnswer: -31, -0.4, -0.22, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75862*q*s + 121*q - 67411*s + 448 wrt q.\nAnswer: -75862*s + 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.0789128*-0.2.\nAnswer: -0.21578256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 578038 times 247\nAnswer: 142775386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7 = x. Suppose -3 + x = 2*y. Let t(m) = -5*m + 3*m - 1 - y. What is t(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -554.1 - -588. Let k = a + -34. Which is greater: k or -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:17 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -152 + 568. Calculate the remainder when u is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286970400 and 7200?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, w: 3}. Give prob of picking 2 w and 1 i.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.263436 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540603239.\nAnswer: 11, 29, 1694681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 - 6*j - 5. Let o(p) be the second derivative of p**3\/6 + p**2\/2 + 16*p + 1. Give -h(a) - 5*o(a).\nAnswer: -3*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -3*o - 4*j, -4*o - 4*j + 2*j = -150. List the prime factors of (1 - o\/(-9))*15.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 19896708*p**2 - 39793428*p - 19896716.\nAnswer: 4*(p - 4974179)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2030 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 13*i - 16*i. Factor 30*b**2 + 0*b**3 + 4*b + 14*b + 11*b**3 + i*b**3 + 2*b**4.\nAnswer: 2*b*(b + 1)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336911522 to the nearest integer?\nAnswer: 18355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 197733 and 64524.\nAnswer: 223833756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.06. Let k = -2.04 - i. Let t = k + 2.5. What is the nearest to 1 in -0.5, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 7. Suppose a = -z + 4*z. Let q be z - 0\/2 - 0. Solve q*k = f - 3, -4*f + 7*k = 3*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t - 11. Let z be b(-10). Let y = 87 - z. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-6))\/((-3)\/(-27)). Let q(a) = a**3 + 2*a**2 - a + 3. Determine q(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 926008*y - 13268.\nAnswer: 926008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-6)\/30*1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27708.59, -0.3, -2\/3, 5 in descending order.\nAnswer: 27708.59, 5, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 212*j**2 + 11236*j.\nAnswer: j*(j + 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2574 + 2556.97. Let x = u - -17. Let m be ((-1)\/(-2))\/((-6)\/(-4)). Is x equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 2*m**2 + 22*m + 106. Calculate y(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 66*h + 15*h + 43*h - 57*h - 129*h.\nAnswer: -194*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79397*p**4 - 26648*p**2.\nAnswer: 1905528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -149 * -17.5\nAnswer: 2607.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2083869795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l = -l - 165925. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 10. Let r(h) = -h + 27. What are the prime factors of r(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -75 + (0 - (3 + -5)). Let l = -147\/2 - n. Which is the fourth biggest value? (a) -0.16 (b) 0.2 (c) 5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3000 - -3048. Let l(b) be the second derivative of 0 + 7\/18*b**3 + 1\/9*b**4 + z*b - 1\/3*b**2. Factor l(h).\nAnswer: (h + 2)*(4*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 6:52 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**32*((y*y*y\/(y\/(y\/(y**(-2\/9)*y))))\/y)**(-2) assuming y is positive.\nAnswer: y**(-310\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650 and 103550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h**2 + 449. What is n(0)?\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2030*q**2 - 14904*q - 104870336 wrt q.\nAnswer: -4060*q - 14904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70.61 - 70. Let a = 0.67 - q. Let o = -6 - -9. Sort a, o, 2\/9.\nAnswer: a, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-4)\/24*1*2. Find z such that 0*z**2 + 2*z + p - 8\/3*z**3 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -50. Is 1240\/o + (-2)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-3)*-13*9. Let d = -80 + n. Suppose -z = -5*x + 50, z - d = -2*x - 2*z. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032717458 rounded to 7 dps?\nAnswer: -0.0003272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*h - h = -4, -4*s - 5*h = -8. Suppose 4*k + 50 = -k. Let q be 56\/20 - 2\/k. Solve 7*u + q*v - 9 = 3*u, -5*v = s*u - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.5617 and -0.1.\nAnswer: 0.55617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -12, -4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) + (-74)\/(-8). Let o be 6*(2 + 1)\/n. Suppose 5*t - b - 718 = -2*b, o*t = 5*b + 298. What is the highest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 18 = -2*b, -5*b + 213*r - 211*r = -13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(98) + (sqrt(2) + sqrt(72) + sqrt(2))*-4)**2.\nAnswer: 4232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10600270, 10600267, 10600264, 10600261, 10600258?\n\"Answer: -3*x + 10600273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*o - 43 + 6 + 37 to f*o + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 160?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1562 + 1643?\nAnswer: 3425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 8) in base 4?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 12:41 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-6))\/(-7)*((-8487)\/(-46) - 9\/6).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*(-32)\/6. Suppose 5*i = m - h, -5 = -3*m + 4. Let y be 6 + (-1 + 3)\/i. Let g(x) = x**2 - 3*x + 1. What is g(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -390*j**2 - 220*j - 35. Let x(t) = -23*t**2 - 13*t - 2. Let y(l) = -2*w(l) + 35*x(l). Find the second derivative of y(f) wrt f.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99.5 - -513.5. Let h = s - 409. What is the third smallest value in -0.3, h, 3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*m**2\/2 - 5*m\/2 + 9.\nAnswer: -(m + 1)*(23*m - 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 4*q + 5. Let m be r(-4). Suppose -m = -4*w + 2*k + 9, 0 = -w - 3*k. Solve -9 = -4*v - w*l, -4*v + 5*l + 17 = -0*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2105223 (base 7) to base 8.\nAnswer: 757757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2250 by 450.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516114659?\nAnswer: 199, 971, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = -2*q - 2*u, 0 = -4*q + 5*u - 213 - 158. Let i = 215 + q. Let f = -49 + i. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -457.83 to the nearest ten.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3037620 rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -132413200 (base 5) in base 15?\nAnswer: -d36d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5036 divided by 1259.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k + 38*k + 10 = 0. Let j(b) = k*b + 7*b - 25*b + 9*b - 7. Let f be j(10). Solve 0 = 2*q - f*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from jtjxcvxva?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (7 - (2 + 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75265961 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 252769, 253409, 254047, 254683, 255317, 255949, 256579?\n\"Answer: -f**2 + 643*f + 252127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -299185751 take away -6?\nAnswer: -299185745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28616.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1501.468 + 0.532. Let f = k - 1564.1. Let z = f + 49. Round z to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 990*m + 462331. Give o(-467).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228444136 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194.9 - 195. Which is the nearest to m? (a) 3 (b) -1 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/114)\/(1460\/8760)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 2*p + 1 - 2*p**2 + 4*p + 2 - 2 - p**2 + (-7*p**2 + 0*p**2 + 4*p**2)*(694 - 615 - 338).\nAnswer: 778*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 2015.88, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 206, 410, 614, 818, 1022, 1226?\n\"Answer: 204*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*2*-4 + sqrt(132))\/(-4*(sqrt(300) + sqrt(12) - sqrt(12)))*3 + 3.\nAnswer: 3 + 21*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Suppose -l*n = 2*n - 240. Suppose n = 3*z + 2*z. Solve 0*a = 3*a + z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 9)*(2*p + 0 + 0 + (0 + 1 + 0)*(-2*p + 6*p - 2*p) + p - p - p + (p + p + p)*(-3 + 3 - 3)) - 1 + p + 1.\nAnswer: 37*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*j + 37*j + 53*j - 106*j.\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1155948 and -43.9?\nAnswer: -50746117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -185\/101 (b) 0.1 (c) 0.4 (d) -3\/32 (e) -3\/7 (f) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -226523 greater than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (-1 + (12 - 24) - -27).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**4\/4 - 4*l - 3. Let m(p) be the first derivative of b(p). Let w(q) = -2*q - 2*q + 2*q. Calculate w(m(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5664 or 5656?\nAnswer: 5656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151375784, 302751616, 454127438, 605503244, 756879028?\nAnswer: 908254784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 6 = 5*z - 4*f, -3*z - 22 = -4*f. Let n = z + 5. Suppose -3*h - 9 = s, 3*h + h + 12 = -n*s. Which is smaller: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*t**2 - 22*t**4 - 37*t**2)*(2 - 1 + 0) - 82*t**4 - t**4 - 25*t**4.\nAnswer: -130*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**4 - 71594422*y**3 + 4845*y**2 - y - 3458.\nAnswer: 48*y - 429566532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1\/6, 4\/223, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-18) - (1 + 1135\/(-1932)) and 145\/12?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -1307 + 362. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1660, 3, 2, -4744.\nAnswer: -4744, 2, 3, 1660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 2*z - 38 + 16, -5*v + 15*z - 155 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 10. Let g be j(-4). Let q(m) = -m**2 - 10*m - 2. Let c be q(-9). Let f = -5 + c. Solve -f*v - g*v = -4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1241374 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (25 - 75 - (-31 - -31))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 1\/6*l**5 + 1\/24*l**4 + 0 + 0*l**3 + 0*l - l**2. Find the second derivative of s(g) wrt g.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from ghela.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, 2\/11, -4, 1\/12, -13\/8, 2\/7?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, i: 6}. Give prob of picking 2 f and 1 i.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.31983 - 0.28017128. Let q = r + 5.6. What is q rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -10, -3 in descending order.\nAnswer: -3, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 7*a + 2*a = 11, -5*c = 4*a + 1. Solve 5*f - f - 4 = -4*x, c = -x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2347545 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107.38 - 112.38. Put -0.2, -0.1, -2\/9, 1\/4, i in decreasing order.\nAnswer: 1\/4, -0.1, -0.2, -2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.09336 hours in seconds?\nAnswer: 266736.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28892 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 1 - (-9 + 8). Let l(i) = 7*i**3 - 2*i**2 + 2*i - 1. Let u be l(k). Suppose -u*v = -v + 5. Sort v, 5, -5 in ascending order.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 8*j**2 + 2*j + 3. Let s be m(8). Let c = s + 10. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 188 = -4*a, y = 4*a - a + 174. Let m be (-6 - 348\/(-30))*y. What is the greatest common divisor of m and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 y when three letters picked without replacement from {h: 7, l: 2, z: 1, k: 4, r: 1, y: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30510 = -7*t + 49332. What are the prime factors of t?\nAnswer: 2, 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007045 to 6 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*1\/(-2) + (31 - 331). Which is bigger: t or -299?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 785427 to the power of 1\/2, to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 84\/20*(-1440)\/2592\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/3 - 1)*-3. Let c = 3 - 5. Let n = c + 5. Solve n*f - 19 = -o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/3180*(-45)\/(-60)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, y: 5, j: 2}. Give prob of picking 1 y and 2 g.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1361142 (base 8) to base 13\nAnswer: 1066b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6719 is divided by 118.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 4*h + 5, 18*h + 2 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1291, -1293, -1295, -1297, -1299?\n\"Answer: -2*j - 1289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23180040 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38575941\/176170940 - -1\/303743. Find the common denominator of k and 77\/58.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/13 - 33952*h\/13 + 1497760\/13.\nAnswer: -2*(h - 44)*(h + 17020)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 - (9 + -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u + 54. Let g be x(-17). Solve -4*i + 8 = -4*z, -g*i + z + z = -9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 - -1 - (2099 - 2100) - -24?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - 4*p + 5*p)*(-3957 - 3748 + 12208 - 3967) to the form y*p + w and give y.\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 5*q - w, q + q = -3*w + 45. Let l be ((-2)\/(-4))\/(3\/q). Let n(u) = 7*u - 2. What is the units digit of n(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 245\/3 - (-4)\/12. Suppose 2*c = -0*c + 3*k + 50, -4*c = 3*k - w. Suppose 0 = 5*i - 8 - c. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:37 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/4 + -3 - 219\/(-12). What is the greatest common factor of r and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - ((-64)\/8 - (-476)\/49). Let z = 5 + -4.7. What is the closest to -1 in -7, 0.6, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128 + (129 - 153) + -187\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + ((sqrt(275) + sqrt(275)*1*5)\/sqrt(5))\/(4*2*sqrt(45))).\nAnswer: -5 + 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -112*m**2 + 116*m - 325. Let j(q) = 538*q**2 - 580*q + 1626. Let z(y) = -5*j(y) - 24*w(y). Factor z(k).\nAnswer: -2*(k - 55)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - -0.07. Let o = v - -0.04. Sort 1, -3, o in decreasing order.\nAnswer: 1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850608749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30907856 divided by 2.\nAnswer: 15453928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 1, x: 2, h: 2, f: 4}. Give prob of picking 1 t and 1 f.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/14)\/(v*v\/(v**(-8\/5)\/v)) assuming v is positive.\nAnswer: v**(-327\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 1, g: 2, a: 8, o: 2}. Give prob of picking 1 c and 1 o.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 15*i**2 + 68. Let w be r(-8). Suppose -2*o + 5 - 3 = 0. Solve -w = -g + o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/9 - a**3\/9 - 71*a**2\/3 - 419*a\/9 - 208\/9.\nAnswer: (a - 16)*(a + 1)**2*(a + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1048128 or -1048388?\nAnswer: -1048388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/52)\/(50\/80)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -69 (b) 1\/3 (c) 7\/54 (d) 2\/3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(32\/40) + 15 + -6. Let h(u) = -2*u**3 - 5*u**2 + u. Let d be -2 + ((-9)\/(-1) - 2). Let b(n) = 2*n**3 + 4*n**2. Give d*b(v) + f*h(v).\nAnswer: 2*v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19968 and 282048.\nAnswer: 2256384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.01289 * 1.9\nAnswer: -0.024491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -21554 (c) -3\/8 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16028753, -16028734, -16028677, -16028564, -16028377, -16028098?\nAnswer: -16027709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 698869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8627251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -10*s - 1\/12*s**4 + 3*s**3 + 0 - 16*s**2. Let m be n(16). Solve m = -0*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 2*a**2 + 5*a - 16. Let z be q(3). Let u = -44 + z. Solve u = b + j + 2, -2*j = -3*b - 8 - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -620, 2, 5\/8, 0.1 in decreasing order.\nAnswer: 5, 2, 1, 5\/8, 0.1, -620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41969 less than or equal to 41972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 + 14*c**3 - 4*c**3 + 13*c**3.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 92295, 1, -28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -19*r - 14. Let q(i) = -9*i - 7. What is -6*h(u) + 13*q(u)?\nAnswer: -3*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) -0.5 (c) -23 (d) 3 (e) -45 (f) 2 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0628 + -0.07. Let y = c + 0.161. Round y to three decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i + 20 - 20)*(-1 - 11 - 7)*(2*i**2 - 2*i**2 - 2*i**2).\nAnswer: 228*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17b121 (base 13) in base 9?\nAnswer: -1106878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3599 + -3594. Solve y*m + 2 = 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - g - 3*q - 21 = 0, 0 = 2*g + 4*q - 16. Is 9 a factor of (-861)\/(-18) - (-1)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2109599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(-15) - (-3)\/15. Let l = 3.5 + -9. Let o = l - -5. Which is the third biggest value? (a) 2\/7 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(1029\/(-14))\/(-21) + 11. Solve -q*g + 2*x = x + 11, -15 = -5*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15888*0.28073.\nAnswer: -4460.23824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 2429.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -596\/11 + 54. Let c be (-68)\/144 + 2\/9. Put 0.5, b, c in ascending order.\nAnswer: c, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/153 (b) -0.5 (c) 0 (d) 4 (e) 1171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3750*n**4 - 1526450*n**3 + 8958292*n**2\/3 + 487544*n\/3 + 6544\/3 = 0. What is n?\nAnswer: -409, -2\/75, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -5*x**9\/63 + x**5\/60 - 11*x**3\/6 + 14*x**2 - 4*x. Find the third derivative of k(s) wrt s.\nAnswer: -4800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -29. Let c = -2.39 + -2.64. Let u = c + 0.03. Sort n, -0.3, u in descending order.\nAnswer: -0.3, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -17*r. Suppose 4*l - 5 = 3*l + 4*x, -4*l - 3*x - 18 = r. Suppose a + a - 12 = 0. Sort l, 5, a in decreasing order.\nAnswer: a, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 at least as big as 669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2))**(-4\/15))**16\/((r**0*(r*(r\/(r\/(r**4\/r)))\/r)\/r)\/(r**(-3\/5)*(r*r**(2\/9))\/r)) assuming r is positive.\nAnswer: r**(-203\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -233 + 225. Let n be (-1)\/(-4) - l\/((-64)\/(-30)). Solve -4*z = 5*c + 35, 2*c - n*z - 4 = -2*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 48, -3, 0, 1\/4?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 3*z - 7. Suppose w - 5*y = 6, 4*w - 3*y = y + 8. Let f(v) = -v. Let q(h) = w*m(h) + 4*f(h). Does 2 divide q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in -0.01, 2, 0.4, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -80217834.\nAnswer: -320871336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 + 2*f + 5. Let o(d) = d - 1. Suppose -4*n - a - 16 = -11, 3*n - 5*a = 2. Give n*z(v) - 2*o(v).\nAnswer: -2*v**2 - 4*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -34, 26, -2, -2\/19, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 12. Let k = -4 - v. Which is the closest to -0.1? (a) k (b) -1\/12 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = j. Suppose 2*f + 4*b + b = 10, f - b + 2 = j. What is f rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 793042586 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 1\/18, 0.15, 23224, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 3:15 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -32113?\nAnswer: -6\/32113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1100?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 262331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 11*h**3 - 3*h + 3*h.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -0.2, -1.\nAnswer: -5, -4, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + -3 + (2 - (44 + -36)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = -1187 - 11177. Let x = -319 - a. Does 35 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 419.451 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 223872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40, 60, 90, 130, 180, 240?\n\"Answer: 5*r**2 + 5*r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 7:41 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 24*o - 9. Let c(a) = -2. Calculate -6*c(s) + f(s).\nAnswer: s**2 + 24*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**2 - 448*d - 21. Let g(p) = -p**2 - 89*p - 4. Determine -2*c(m) + 11*g(m).\nAnswer: m**2 - 83*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 - -27. Let u = r + -108.9938. What is u rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-21) - 32\/(-14). Let i be 4\/(-22) - 1000\/(-55). Let l be 2\/(-4) - (-9)\/2. Solve -k*r = l*p + i, 0*r = -5*p + 2*r - 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461482543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 658 = -2*n, 2*n - 7*a = -2*a + 663. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.5 + -2.3. Round h to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -71*g**3 - 4*g**2 + 10*g + 2. Let k(a) = -a**3 - a**2 + 3*a + 1. What is 4*k(i) - z(i)?\nAnswer: 67*i**3 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14500250*l = -14500400*l + 18600 for l.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*a - 70 = 0, -2*a - 28 = 3*d - 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 + -2. Let x = z + 0.1. Which is the smallest value? (a) 0.4 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 10*s**2 + 8*s + 33. Suppose -5*r + 55 = -0. Let u be o(r). Suppose u = 3*p + 3*j - 5*j - 443, -j = -5. Is p a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 3300?\nAnswer: -32a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016269505 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l + 1391 + 1084 = 0. Let y = 169 + l. Let p(a) = a + 1. Let t be p(1). Solve 6*x - 3 = -t*r + x, y*x = -4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s. Let l(a) = 43*a**2 + 7*a - 3. Let f(c) = l(c) - 5*y(c). Is f(-2) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/41776 and -69\/241141516.\nAnswer: 964566064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + 0*s**3 + 0*s**3)*(-2*s - 2 + 2) + 4*s**4 - s**4 - 2*s**4 + (1936*s**3 + 1800*s**3 - 5485*s**3)*(-s - 3*s + 2*s).\nAnswer: 3495*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 291389*h - 84794194. What is w(291)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-75) - 37386\/(-1550)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 295. Give j(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 237 - 167. Suppose -u = 3*y - 346. Is 24 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10013010131 (base 4) in base 5?\nAnswer: 233440113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24340 and 259117555.\nAnswer: 6085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 2*v**3 - 7*v + 8. Let r(l) = 3*l**2 - 3. Determine 7*r(j) - 3*s(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 306 + -303. Suppose -a*g - 2*i = -4*g + 601, 2*i + 2422 = 4*g. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = 4*j, -4*j = -2*i - 0*j + 26. Suppose -1\/2 - 2*s**i - 2*s - 3*s**2 - 1\/2*s**4 = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12066*h**4 + h**3 - h**2 + 350*h - 3.\nAnswer: 289584*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - ((-2)\/(-2))\/(33\/99). Let k(l) be the second derivative of l**4\/12 + 3*l**3\/2 + 9*l**2\/2 - 3*l. Give k(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6859062 from -0.5.\nAnswer: -6859062.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449374?\nAnswer: 2, 23, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/6)\/((-31)\/(-279))*(-18)\/(-27).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3052*v - 12197. Give p(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-7)*-3*(-4)\/(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -27433*f - 21. Let g(n) = 726976*n + 555. Determine -7*g(v) - 185*m(v).\nAnswer: -13727*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -6513661\nAnswer: -651366.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*t - 1145*t**2 + 1092*t**2 + 48*t.\nAnswer: -53*t**2 + 157*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.012, 1, -4, 0, -5, -66\/5?\nAnswer: -66\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 110\/120*24\/44*22\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwwbbbfmmbbbbbbmmb. Give prob of picking 2 b, 1 f, and 1 m.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1\/6))**(-9))**(-39))**(-48) assuming b is positive.\nAnswer: b**(-14040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, b: 1, x: 7, d: 1}. Give prob of picking 3 z.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 2794906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 318338 (base 9) to base 15\nAnswer: 3b398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1422244 (base 5) to base 14.\nAnswer: ab75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by ((-386)\/(-16) - 11\/88)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/2))**(-10\/9)\/((z\/(z\/z**(7\/2)))\/(z**(-6)*z)))**(-29) assuming z is positive.\nAnswer: z**(1769\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22951.\nAnswer: 59, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**3 + 396*q**2 - 894*q - 12058. Calculate h(-134).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 3, -95 in ascending order.\nAnswer: -95, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1241*g**2 - 3. Let v(b) = 1721*b. Determine v(j(r)).\nAnswer: -2135761*r**2 - 5163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2595 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 16. Let g be y(-7). Suppose -2*m - 10 = r + r, m + 3*r = -9. Put m, g, 0 in increasing order.\nAnswer: m, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 22b0e?\nAnswer: 22b0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3 = -4*b - 1, -20 = -4*s + 2*b. Suppose -2*m = s*w - 0*w + 32, 3*w + 4*m = -34. Do -8 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/5 + 38*r**3\/5 - 372*r**2\/5 - 216*r\/5 + 7776\/5 = 0. Calculate r.\nAnswer: -4, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Let v(f) = -7*f - 6. Let j(h) = -6*h - 5. Let s(w) = -6*j(w) + 5*v(w). Let i be s(3). Is i != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from {j: 1, d: 2, z: 5, x: 11}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 168*z + 0*z**2 + 261 + 78*z - 3*z**2 + 12*z.\nAnswer: -3*(z - 87)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1532 times -4866\nAnswer: 7454712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4016665220?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2016 and -17\/1176?\nAnswer: 14112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*h**3 + 2*h**2 - 91 + 91 + 1 + 2*h**3 - 1 + (3*h**2 - 3*h**2 + h**2)*(0*h + 2*h - h).\nAnswer: -23*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5 + 912*d**4 + 4*d**2 + 1324 wrt d?\nAnswer: 60*d**2 + 21888*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22659450 divided by -730950.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1824712 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q - 3*q + 0*q + (-4 + 5 + 1)*(1002 - 3*q - 519 + 0*q) + (0*q + q - 3*q)*(2 - 1 + 5) + 3 + q - 3 to x*q + a and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = 4*r. Let d be (r\/6)\/((-2)\/(-20)). Suppose 25 = 5*z - d. Calculate the highest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**6\/480 + 13*c**5\/80 + 31*c**4\/24 + 7*c**3\/2 - 765*c**2. Factor r(q).\nAnswer: -(q - 42)*(q + 1)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f**2 - 574*f + 834. What is i(-98)?\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*o - 24 = 0, -4*y + 5*o = 2*o - 21. Let v(r) = 5*r**3 - 3*r**2 + 2 - 4*r**y - 4*r + 0. Let h = 0 + 4. Calculate v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + l + 1. Let r(x) = 8*x**2 + x + 1. Let q(z) = 2*z**2. Let a(k) = -9*q(k) + 2*r(k). Give -2*a(w) + 5*g(w).\nAnswer: -w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4\/9)\/s**20 assuming s is positive.\nAnswer: s**(-184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3255, 6529, 9817, 13125, 16459, 19825, 23229?\n\"Answer: c**3 + c**2 + 3264*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 1\/2*b**2 + 0*b**3 + 0 - b - 1\/12*b**4. Let d(w) be the first derivative of u(w). Let t(a) = -9*a**2. Determine t(d(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1450096 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10308 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/18*-9*2*15\/48\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0*s**4 + 0*s**3 + 0 + 0*s**5 - 19\/2*s**2 + 13\/5*s**6 + 11*s. Differentiate o(g) wrt g.\nAnswer: 312*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110100110100100101 (base 2) to base 4\nAnswer: 1310310211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 639 - 604 = -2*z, -k - z = 30 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 794 - 789. Suppose -4*s + s + 26383 = 2*o, 26381 = 2*o + k*s. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/848 and 33\/848.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -1, -15 in decreasing order.\nAnswer: 5, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w**3 + 7*w**3 + 3*w**3 + 4*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixid when four letters picked without replacement from {x: 2, i: 5, d: 1, s: 1, p: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3024, -2994, -2964, -2934, -2904?\n\"Answer: 30*k - 3054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**3 - n. Suppose 0 = -x + 3*i + 7, 2*i + 9 = 3*x - i. Calculate a(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6182 + -6187. Sort y, 0, 5, 1, -19 in increasing order.\nAnswer: -19, y, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*8\/((-240)\/(-5))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2911852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**4\/4 - 5*p**3\/3 + 7*p**2\/2 + p - 15. Suppose -13 = 2*h - x, -h + x - 31 = 4*h. Calculate g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 + -85. Let k(y) = -y + 2. Let o(c) = c - 4. Give l*k(b) - 2*o(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 23*h + 5\/12*h**4 + 0*h**3 + 3\/20*h**5 + h**2 + 0. Let x(r) = 4*r**3 + 6*r**2 + 2. Give -6*t(w) + 5*x(w).\nAnswer: 2*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -1112?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.9 + 2.6. Sort 2, 5, t in increasing order.\nAnswer: t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(9\/(-1))*36\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*x + 14535, -7265 = -270*g + 268*g + 3*x. Is g a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60568 to the nearest one thousand.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 3\/7, 1, 5, -21, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20905015 is divided by 529.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6487 + -6468. Solve -3*a = 4*l - h, l - 3*l + 11 = 3*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68515958 and 15743?\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52 or 931?\nAnswer: 931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(300)*-2)**2*-6.\nAnswer: -7202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 1. Let z(f) = 1. Let l(q) = m(q) + 2*z(q). Give l(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 1. Let v be (1 + 1 + -3)*-3. Let k(x) = -2*x**4 + 4*x**3 + x**2 + 5. Let s(b) = v*k(b) - 15*z(b). Factor s(y).\nAnswer: -3*y**2*(y + 1)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y + 2. Suppose -2*f + f - 2 = 0. What is the tens digit of v(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 14689*j**2 - 48*j - 6. Let b(m) = 73446*m**2 - 256*m - 32. Determine -3*b(o) + 16*r(o).\nAnswer: 14686*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -1\/4, 2, -0.3, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*2)\/(-3*sqrt(12)\/sqrt(3)) - (6*(sqrt(7) - 6*-1*sqrt(7)))**2*-1.\nAnswer: -10*sqrt(7)\/3 + 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/7 - 594*x\/7 + 88209\/7.\nAnswer: (x - 297)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 3:49 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.13 and 0.004.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -46 + 63 + 7?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**3 - 4575*i**2 - 13760*i - 9180 = 0.\nAnswer: -2, -1, 918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 - -94 - 44 - 32.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 358*r**2 - 180*r**2 - 181*r**2. Let f be 4\/3*828\/3. Let u(m) = f*m**2 - 4 - 360*m**2 + 4. What is u(i(t))?\nAnswer: 72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1165 or 1166?\nAnswer: 1165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -302395 * 0.21\nAnswer: -63502.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 307694485 and 7035?\nAnswer: 2345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/5 (b) -0.33 (c) 4\/17 (d) -2 (e) 2\/11 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -917 divided by -5\nAnswer: 917\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - (-33 + 23 - (24 - (-17 + 31))).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.39 in -0.4, -2\/25, -1\/5, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-1298)\/708)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m + 5. Let z(n) = n + 1. Let k(f) = 3*b(f) - 15*z(f). Suppose 3*a = -3*a + 18. Let d(p) = 4*p + 0*p + p - a*p. Calculate d(k(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 - 52567*u**2\/2 + 690848655*u\/2 - 690796089\/2.\nAnswer: (u - 26283)**2*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5401 greater than or equal to -5169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68463, 68452, 68441?\nAnswer: 68430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/109 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*k + 780 + 1110, -1918 = -2*y + 4*k. List the prime factors of y.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246\/(-820)*((-4)\/8 + (-24)\/(-28)).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 2*r + 2*r)*(4*r + 0*r - 123318 + 123194) to the form o*r + k + n*r**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -3*k**6\/40 + 19*k**5\/40 - k**4 + k**3 - 5*k**2. What is c in x(c) = 0?\nAnswer: 1\/2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from ezzezzzzez.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 less than -108924\/1115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*212.45\nAnswer: 63.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(6) + -5*sqrt(54)) - (-2*sqrt(720)*6)**2) + -1*4*-2*3*sqrt(405).\nAnswer: -103680 + 3023*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2041 divide 7374133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*s**2 + 0 - 133*s.\nAnswer: -s*(s + 399)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*x - 2*r, x + 2*r - 30 = 16. Let a = 2\/9161 - -1035187\/27483. Let k = a - x. What is the nearest to 1 in -0.1, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + 26. Let o be k(7). Suppose 3*r - n - 1 = 24, -5*n = -2*r - o. List the prime factors of (-110)\/(-44)*84\/r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - p**2 + 4*p**2. Let j(b) = 3*b**2. Calculate m(j(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63791 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.0825.\nAnswer: -0.04125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-4 - (-5 + 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -18950*u - 151597. What is j(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*z + 2*z + 56 + 115 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 319, 686, 1201, 1864?\nAnswer: 2675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*i = -66, 5*n + i + 8 = 70. Let p = -8 + 4. Let z be p\/10 + 67\/5. Solve 4 - n = -2*r + y, 0 = r - 5*y - z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(-20)\/(-260)*2\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -25. Let a(g) = -g**2 + 5*g. Let c be a(t). Solve -3*w - 5*s - 14 - 7 = 0, 0 = -c*w - 2*s - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x - 4*x - 20*x.\nAnswer: -34*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 166326268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 252555 (base 9) to base 6\nAnswer: 3135252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12456 or -211758\/17?\nAnswer: -211758\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 0.1, -3\/2, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3110231 (base 4) in base 15?\nAnswer: -4078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 20*h + 57. What is n(-4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d - d)*(0 - 6 + 5)*(-1 + 1 + 1)*(2 + 1 - 5).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2 = -13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 - 5 + 43 - 1)*(-2*x - x + x).\nAnswer: -238*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (-141)\/5)\/((-44)\/330*3). What is the highest common factor of h and 646?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 26 = -a, 4*m + 4 - 8 = 5*a. Solve m*o - 9 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w. Let o(f) be the third derivative of f**4\/12 + 487*f**2. Determine -7*o(h) - 3*v(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 25*y**3 + 49*y**2 + 125*y - 47. Give h(-3).\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15390 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - -b8?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7619\/133 + -23 - 36?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1a9b1 (base 12) to base 4\nAnswer: -21220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6*(5\/(-2))\/5*-186. Put 2, -19, 3, 5, z in ascending order.\nAnswer: z, -19, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a + a - 6*a)*(57 + 1119 + 79) to the form k + u*a and give u.\nAnswer: -2510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*p = 68 - 466, -4*u + 524 = 4*p. Let i = u + -527\/4. Are i and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-132)*11)\/((-15)\/48). What is the smallest value in a, 8, -2\/23, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55791024 and 30?\nAnswer: 278955120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**5 - x**4 + 16*x**3 + 2*x**2 - 381674*x - 2?\nAnswer: 40*x**3 - 12*x**2 + 96*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584 - 638 = -20*j + 21*j for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.41 + 0.22. Let w = -0.49 - p. Let m = w + 0.5. What is the second smallest value in 0.3, m, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -7. Suppose 2*q - m = -1. Suppose -30 = -5*i - 3*r, 0*i + q*r = -4*i + 22. Solve -z - i*v = 3*z + 6, 10 = -5*z - 5*v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -409 - -400. Let i(w) = -w**2 - 4*w + 8. Let q be i(-5). Is (-1543)\/(-3) + 21\/n + q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 - 1) + (4 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -58, -137, -256, -421?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/2044 + 27467\/511. Let g = -53 + x. What is the biggest value in g, -0.4, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/8)\/(1\/76). Suppose t*l = 35*l - 207. Let y = -42 - l. What is the remainder when 100 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-110*m - 14*m - 56*m)*(-1 + 1 + 3)*(3 + 2 - 3) to f + h*m and give h.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000577402 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 0.4, -1, 0.034?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -537*f**2 - 46170*f + 1044. Give r(-86).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18 - 2)\/2*-1. Suppose 4 + 8 = 3*i - 3*v, 0 = -2*v - w. Is 2\/9 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 43 and 40 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**2\/2 + 6*f + 1. Let t be m(0). Suppose -t*n = -3*n - 9. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 + -271.\nAnswer: -272.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5 + 33*g**4\/2 + 43*g**3\/2 - 15*g**2 = 0.\nAnswer: -15, -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*v - 3 - 3, 2*v = 2*w + 6. Factor -8*c + c**2 + 7*c + v*c**2 - c.\nAnswer: 2*c*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 511708, 511683, 511658, 511633, 511608, 511583?\n\"Answer: -25*k + 511733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2755.\nAnswer: 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y - 14. Let n be m(7). Solve -5*d - n - 3 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1810.784?\nAnswer: 7243.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -0.833.\nAnswer: 4.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 441516\/9085 - -3\/1817. Let y = z - 48. Factor 3\/5*u**3 - 3\/5*u**2 - 3\/5*u + y.\nAnswer: 3*(u - 1)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (80*m + 42*m - 124*m - 2957)*(-2 + 2 + m) to the form f*m + w + v*m**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - (-99 + 27 + 74).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**4\/12 + 7*n**3\/6 + 5*n**2 - 16*n. Let h(r) = 2*r + 7. Determine 7*d(v) - 6*h(v).\nAnswer: 2*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1. Let n be 2 + i - (-8 - 0). Suppose -1 = 2*j - n. Let a(o) = o**2 - 4*o + 6. Calculate a(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(6\/52)\/(10314\/7449).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -7*t**6\/60 + t**4\/24 - t**3\/3 - 1008*t**2. What is w(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**5\/60 + 38*l**4\/3 + 88*l**2 + 2*l. Find b, given that m(b) = 0.\nAnswer: 0, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/21 of a week in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 9*p + 12. Let o be b(10). Find d such that 1290*d**4 - 6*d**3 + o*d**2 - 1288*d**4 - 3*d + 4*d**2 + d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = 0, -2 = -3*y - 5*t + 13. Let w be (2 - (-10)\/(-4))*y. Let p = 5 + w. Let x(k) = -k - 4. Let a(r) = -r - 3. Give p*x(o) - 6*a(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llluu. Give prob of sequence lluu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1))**49*f**(-2)*f\/((f\/(f**(1\/6)*f))\/f) assuming f is positive.\nAnswer: f**(589\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 516, -2?\nAnswer: 516","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and ((-200)\/3)\/2*(-21)\/14.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -115860, -231718, -347570, -463410, -579232, -695030, -810798, -926530?\n\"Answer: w**3 - 3*w**2 - 115856*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*g*t*z**3 + 2*g*t*z - 26*g*t - 203*g*z**5 - 10*g*z - 2*g + z wrt z.\nAnswer: 84*g*t*z - 4060*g*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.480062kg?\nAnswer: 3480062000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*k = -290. Suppose 2*u - 4*z - k = u, 2*z - 104 = -3*u. Calculate the remainder when u is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -393499*d**2. Let n(c) = 2*c**2. What is n(s(k))?\nAnswer: 309682926002*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1134 - 3?\nAnswer: -1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2578353ug in nanograms?\nAnswer: 257.8353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18, -42, -92, -180, -318, -518, -792?\n\"Answer: -2*s**3 - s**2 - 7*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2311, 9040, 20131, 35482, 54991, 78556?\n\"Answer: -17*l**3 + 2283*l**2 - l + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from zegegenetgeznzeze.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 37*r - 53. Let m(t) = -22*t**2. What is m(p(f))?\nAnswer: -30118*f**2 + 86284*f - 61798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 886, 930, 968, 1000, 1026?\n\"Answer: -3*q**2 + 53*q + 836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 353 + -352.5. Let n be (-2)\/(-7) - 240\/105. Let g be (1 + n\/10)*(-260)\/(-312). Which is the third biggest value? (a) g (b) -3\/2 (c) w (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 27 - 2*v**3 - 62.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t + 0*t**4 + 0 - 3\/100*t**5 + 0*t**2 + 0*t**3 - 1\/70*t**7 - 1\/25*t**6. Suppose s(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*x - 83. Let r be ((2 + -1)*-3)\/(-3). Let v be (4\/x)\/(r\/(-8)). Solve 0 = -v*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2469780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 46. Find the second derivative of -3 - 8 + 3*c + g + 4*c**5 wrt c.\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 times -0.1?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 8, 5, 19 in ascending order.\nAnswer: -3, -2, 5, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3736 - 3731. Which is the second smallest value? (a) 10 (b) -2 (c) -4 (d) f (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494 + 598 - 16*a**2 - 104 + 39*a**2.\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sort 16146, -1, 8 in increasing order.\nAnswer: -1, 8, 16146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1101 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6088739, -6088742, -6088745, -6088748, -6088751?\nAnswer: -6088754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**4\/8 + 8*j**3\/3 + 158*j**2. Determine k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667145.\nAnswer: 3, 5, 111143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -0.4, -0.5, -1\/5.\nAnswer: -0.5, -0.4, -1\/5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35725, -35731, -35741, -35755, -35773, -35795?\n\"Answer: -2*r**2 - 35723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -14)*1\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 2572682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a)\/(a\/((a\/(((a**(-18)*a*a)\/a)\/a))\/a)) assuming a is positive.\nAnswer: a**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/16 and -41\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*24\/18)\/(-7*12\/(-21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028404 to 4 dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 460922?\nAnswer: 460935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 - -76. Suppose 26324542 = a*z + 113604542. Round z to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 19) + -1 + 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1940, 2413, 2886?\nAnswer: 3359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdwxxxfffde. What is prob of picking 2 f and 2 d?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**4\/4 + k - 1. Let a(g) = g - 7. Let l be a(6). Let s be y(l). Solve -14 - 7 = 5*i - s*p, -7 = 3*i - 4*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1138 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*g = -13008, 3*y - g = -6*g + 19520. Round y to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -22 + (63 - 24 - 14).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**4\/24 - 5*p**3\/3 - 2*p**2 - 75*p. Give j(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -123775, -123780, -123785?\n\"Answer: -5*v - 123770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 37. Let d(u) = u + 22. Let b be d(-14). Suppose -3*z + p + 21 = m, -b*z + 3*z + p = -33. Solve -6 = 3*a - z*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 15*j + 5. Calculate z(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371072 (base 8) in base 12?\nAnswer: 169622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -200.\nAnswer: -199.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/19)*o**3\/o)**(18\/13) assuming o is positive.\nAnswer: o**(990\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51382553*n**4 + 1628521*n - 5 wrt n?\nAnswer: 616590636*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j + 3. Let h(d) = -3*d + 4. Let y be h(3). Calculate the remainder when p(y) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 978 divided by 259.\nAnswer: 978\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309a (base 15) to base 7.\nAnswer: 41641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1212 = 166*c - 31*c + 1488 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 3221256813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1301332 (base 4) to base 5\nAnswer: 213134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12474452 and 6224.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 803*z**3 + 4806*z**2 + 7155*z - 108 = 0.\nAnswer: -3, 12\/803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*b + 0*b - 4 = 0, 5*b = 0. Let n = 4 - 2. Suppose -n*k + 4*k = 6. Solve 0 = 3*v + i, -4*v - 5*i - s = -k*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (7 - (-14 + 6)) + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19282084 * -0.006.\nAnswer: -115692.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(1\/18)\/(u**7*u**(-3\/7)) assuming u is positive.\nAnswer: u**(-421\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1555527\/7384 - -34\/923. Let s = -211 - f. Let u be (-8)\/198 - 4\/(-18). Which is the closest to -2\/5? (a) -2 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2429281044 rounded to the nearest 1000000?\nAnswer: -2429000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 241466341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + s + 9, 0 = 54840*s - 54843*s - 27 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 20*p - 17. Let c = 62 + -34. What is the remainder when w(5) is divided by c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17271, 17860, 18449, 19038, 19627, 20216?\n\"Answer: 589*c + 16682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 366 + -436. Let m be 0 + -1 + (-298)\/(-2). Let d = p + m. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10355 is divided by 3445?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f - 4*f + 2*f + f.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.114489361 rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9116883*c**2 - 12*c - 413234.\nAnswer: 18233766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/45 + (-982)\/(-9) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -24*t**2 + 39*t - 13. Let z(g) = 21*g**2 - 38*g + 11. Let y(j) = -6*f(j) - 7*z(j). What is y(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/12 + 1)*3\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3017587*d + 3017587*d + 3017583*d + 3017586*d + 3017582*d - 15087932*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -31. Let q be 11\/(4\/(r - -1)). Find the third derivative of 46*l**4 - 28*l**2 - q*l**4 - l**4 wrt l.\nAnswer: 816*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56 + 6 + 6)*(-4 + 5 - o + 0*o)*(0*o**2 + 0*o**2 + 3*o**2) + 2*o**3 + o**3 - 4*o**3 as g*o**3 + a + v*o + y*o**2 and give y.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40963547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/(-12)*(10 - 6). Factor 22*o + o**4 + 14*o**2 + 10*o**3 - h + 10*o**2 + 22.\nAnswer: (o + 1)**3*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 5411.\nAnswer: -1\/5411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = 8*u - 187 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**4\/24 - c**3\/6 + c**2. Let j(i) = 3*i + 2. Suppose -4*z + 4 = 4*m - 0*m, 5*z - 5 = -2*m. What is z*j(o) + 2*a(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 2*o**3 + o**3 + (-4 + 2 + 1)*(0*o**3 - 2*o**3 + o**3) + (1 - 5*o - 1)*(-2*o**2 + 1 - 1) - o**3 + 3*o**3 - 3*o**3.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -83. Suppose 5*h = r*h - 8. Let x be -3 - (1 + (-3 - -1)). Put x, -3, h in descending order.\nAnswer: h, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402818 is divided by 344?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 16*i**2 - 13*i - 5. What are the prime factors of q(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 110*m**2 - 427*m + 317. Let x be y(106). Do x and 6\/4543 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -32, -43, -60, -83?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71232067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982218801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, t: 1, v: 4, i: 1}. What is prob of sequence it?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/23904 and -43\/90.\nAnswer: 119520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-399*z**3 - 358*z**3 - 1461*z**3 - 8*z**3)*(3 + 3 - 5)*(-1 - 2 + 0).\nAnswer: 6678*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c + 105. Let m be w(-27). Suppose -3*d + m = -15. Solve 3*k + 2 + d = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.608 + -0.308. What is the nearest to 4 in i, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*u**3 + 93*u**2 - 235*u + 175.\nAnswer: -(u - 7)*(3*u - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 35 = 5*a, a + 3*o - 26 = -o. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -2. Let h = z - -4. Let t = -0.46 - -0.56. Which is the second biggest value? (a) -4\/9 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 43*s**2 - 255*s + 90. Let z be t(35). Calculate the highest common factor of z and 6176.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1 - 5 - 10*z + 4*z**2 - 3*z**2 - 15. Let n be v(13). Solve -7*l - n = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = f + 58, 2*p + f = -0*p + 26. Let c = -4 - -11. What is the remainder when p is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -274? (a) -2\/3 (b) -1\/70 (c) 17 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.19368 + 1.19456. Let v = -3.5 - -23.5. Let t = v + p. Round t to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60\/7 + 956\/105. Let c be (-3)\/3 - 17\/(-15). Find l, given that 8\/15*l - c*l**2 - u = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209\/510 + 1\/102. Which is the nearest to 2\/5? (a) q (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w + 21. Give b(8).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6022*o + 91344 = 313*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12)\/(65\/78*(-9)\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 2174532?\nAnswer: 6523596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1810.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38683854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bub when three letters picked without replacement from bsutubbzbb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/60*(-99)\/(-2). What is the remainder when f\/((-2)\/((-16)\/12)) is divided by (-220)\/(-18) + 4\/(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 m when three letters picked without replacement from nmnmnnmmnmnnmnnnnmn.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3042224 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*sqrt(153) - sqrt(153))*-6 + (-2*(sqrt(153) + 2 - sqrt(153)) + sqrt(153))*-4)**2.\nAnswer: -504*sqrt(17) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -16 (b) 0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30856, 31309, 31752, 32185, 32608, 33021?\n\"Answer: -5*b**2 + 468*b + 30393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -6\/11, 4, -693\/2, 2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24004004 (base 5) to base 15\nAnswer: -44e6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57937356187137 + -0.5?\nAnswer: 0.07937356187137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 71321, 142632, 213941, 285248, 356553?\n\"Answer: -i**2 + 71314*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 121662666 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + i + 3 = 0, -5*s + 10 + 10 = -3*i. Let v be -2 + (0 - (2 - 2)). Let j(x) = x**2 + 2*x - 1. Let l be j(v). Sort l, s, 4.\nAnswer: l, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73408 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, y: 2, l: 2, m: 4}. Give prob of sequence lcyl.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 32. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + (-141)\/45)*1. Are 3 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k*k*k*k)\/k*k*k*k**5*(k*k**(1\/2))\/k**(-4\/7)*k**(-1\/6)\/(k\/(k*(k*k**(-5\/3)*k)\/k))*(k*k**2)**(-24) assuming k is positive.\nAnswer: k**(-1402\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4418224.\nAnswer: 2, 461, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252642 by -6162.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 2, c: 1, a: 9}. Give prob of sequence cl.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111101101 + 11010000?\nAnswer: 100010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 796 and 12?\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 - -118. Solve 5*b + q = -6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -161*u**3 - 31*u**2 - 25*u - 4. Let s(i) = 162*i**3 + 27*i**2 + 21*i + 3. Give -5*j(a) - 6*s(a).\nAnswer: -167*a**3 - 7*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10*f - 2895 = 7*f, 5*f = -4*t + 11594. Is t a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 - -244. Suppose i + 90 = 3*t. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.8 times 27553.4?\nAnswer: -518003.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11222202 - 11020022111?\nAnswer: -11001022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + -1. Let u(j) = j**2 - 3*j + 2. Let z(v) = 2*v**2 - 2*v + 2. Let t(i) = y*z(i) + 4*u(i). What is the derivative of t(r) wrt r?\nAnswer: -16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05350922 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -41*s - 116. Calculate the remainder when r(-4) is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 + -2)*(-18)\/27. Let i = p - 6. Find the second derivative of 7*m**2 - 12*m**i - 18*m**2 + 10*m wrt m.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -10. Let l(t) = -27*t - 144. Let f(h) = h**2 - 5*h - 56. Let y be f(10). Let g be l(y). Calculate the greatest common divisor of g and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 12:12 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1687 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(190) + (-2*sqrt(190) - sqrt(190)))*6 - (sqrt(190) - (2*-1*sqrt(190) - sqrt(190)))))\/((sqrt(540)*1)\/(sqrt(6) - sqrt(216))).\nAnswer: 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -152 (b) 0.07 (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -z - 2*z. Suppose 7*a = 608 + 155. Suppose 0 = -4*j + a - 13. Calculate the greatest common factor of z and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 12\/31, 4, 26, 1\/133?\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/10 + (-133)\/(-2). Suppose l = s + s. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -10, -2, -2\/3, 2\/11?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2287616073?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 376*l**2 - 188*l + 94. Let k(m) = 2*m**2 - 2*m + 1. Calculate g(u) - 94*k(u).\nAnswer: 188*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 27179026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*n**2 - 514*n**2 + 180*n**2.\nAnswer: -424*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 10030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = 0, 4*y + 4*u + 177 = 3297. Does 41 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c**3 + 117*c**3 + 147*c**3)*(0*c + 0*c - c) in the form a + t*c**3 + v*c**2 + l*c**4 + o*c and give l.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -3 - -22371 - -1. Suppose -5821 + v = 3*q. Suppose -5*g = 5*n - 2*n - q, g - 5*n - 1081 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**5\/20 + m**3\/3 - m + 2. Let x(h) be the first derivative of r(h). Find the second derivative of x(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 3*d + 10. Let c be m(5). Let a be ((c\/(-2))\/(6 + -5))\/(-3). Let o be (-6)\/(-4)*(a + 4\/3). Solve o*y + 5*t = -12, -y = -3*y - 2*t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 318, 765, 1390, 2193?\nAnswer: 3174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -83?\nAnswer: -3\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1031817*f + 6190900. Calculate c(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*c + 11 = -y, 3*y = -2*c - 1. Let u be 86\/(-387) - (-2)\/9. Suppose u*o + 3*o + 16 = g, 6 = y*o. What is the greatest common divisor of 132 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 31 - 21. Let s(a) = -12 - 17 + 29 + 18*a**q. Let d(t) = -5*t. Determine d(s(k)).\nAnswer: -90*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*y + 2*z - 222, 3*z = -3. Let u be (-3)\/(-5) - (-77)\/y. What is l in u + 2*l + 2\/3*l**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 184 = 3*c. Let s be c*(6 + -3)\/(-6). Let h = s - 22. Let g(o) = -o**2. Let n(l) = -2*l**3 + 12*l**2 + 2. Calculate h*n(r) + 12*g(r).\nAnswer: -2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 481 + -253. Suppose n = -3*n + l. Suppose -6*d = -3*d + 4*h + 43, -5*h - n = 4*d. Which is smaller: d or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*w + 50, -3*k = w - 36 + 32. What is the lowest common multiple of 1\/5 + (-445)\/(-25) and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/2 + 8. What is the nearest to 1 in -2\/3, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4721121 - -2269133.\nAnswer: 6990254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9277 - -2837. What are the prime factors of i?\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.95632659 - 1.04365181. Let a = n + 34. Round a to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 234114 (base 5) to base 12\nAnswer: 5017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (21 - (-4 - -13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-9) + 1 - 0. Which is the smallest value? (a) o (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7226650 - -617?\nAnswer: -7226033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 13*g**2 - 14*g - 31. Let l(n) = n**2 + n. Let p(m) = b(m) - 5*l(m). Let t be p(-17). Solve -a = 3*o - 6*o + 7, 4*o + t*a - 18 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + (-4 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1913549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 823363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -22*a - 1858. What is f(-82)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8080 and 20?\nAnswer: 8080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 2*d - 1. Let w be 6*(1 + 1)\/4. Calculate l(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -126*b**2 + 186*b + 184. Calculate l(-1).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290201347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -12*s**2 + 567*s - 464. What is c(46)?\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -755? (a) 0.3 (b) 0.199 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from {f: 2, j: 1, v: 2, m: 4, g: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 11 + 29)*(0*u + 3*u - 5*u)*(-1 - 5 + 1)*(2 + 2 + 1)*(-4 + 2*u + 6 - 6*u) to the form y + a*u**2 + n*u and give n.\nAnswer: 2000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1*55*(-84)\/(-1470)*-14\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/157, -9, 2, -12408 in decreasing order.\nAnswer: 2, 1\/157, -9, -12408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.891699m?\nAnswer: 9891.699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - 0 - (-103912)\/31 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*h + 1247*h + 2001*h to the form y + a*h and give a.\nAnswer: 3259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - -65 - (4 + 0 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 67, 7, -101, -257, -461, -713, -1013?\n\"Answer: -24*i**2 + 12*i + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 7*f**2 - 2*f + 6. Let n be t(5). Suppose -3*x = 5 + n. What is the common denominator of (-3)\/6*36\/14 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3*-8*45\/(-72)*(-2392)\/460?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95 and 0.176018.\nAnswer: 16.72171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, -0.1, -4 in decreasing order.\nAnswer: -0.1, -4, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 36. Let l be (-2)\/(-1 - 1\/(-2)). Find the third derivative of -5*m**4 + 5*m**2 + l*m**4 + 5*m**z wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -66126*r**3 - 3*r - 3. Let n be c(-1). Is ((-10)\/15)\/(4\/n*-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -294*u**3 - 8652*u**2 - 7335*u\/2 - 783\/2 = 0.\nAnswer: -29, -3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 50. Let b be c(15). What is the third derivative of 14 - b - 9 - 142*f**3 - 138*f**2 wrt f?\nAnswer: -852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 3:31 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 2*s - 21 = -38*o - 165, 4*o - 4*s = 6*s - 90 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002333 (base 4) to base 12.\nAnswer: 2593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -871 = -872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/48)\/(1\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5735581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7147*u - 7147*u - 79*u**2)*(-28 - 8*u + 28) + 4*u**3 + 3*u**3 - 5*u**3 to the form i*u**3 + n + o*u + m*u**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**3 + 17*k**2 + 38*k - 4. What is i(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/1344 - -1349\/6720. Put v, -1, 2\/49, -2 in increasing order.\nAnswer: -2, -1, 2\/49, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*q = 24823, -2624 - 3587 = -p + 4*q. What is the thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11041915 to the nearest integer?\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**3 - 13*j**2 + 25*j - 53. Does 3 divide d(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753966 less than 1753966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3295904522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by -39.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 3*v**2 + 2*v**2)*(-4*v - 8*v - v).\nAnswer: -26*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53708 and 348?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13526 + -26)*(-224)\/(-5). Suppose 59*o - 65*o = -q. What is o rounded to the nearest one thousand?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118889, 118894, 118899, 118904, 118909, 118914?\nAnswer: 118919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110 (base 2) in base 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose 2*d - 3*a - 15 = 3, 5*d + a - 11 = 0. Find the second derivative of o - 3*o + 0*o**q + o**d wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362504.\nAnswer: 2, 113, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*p**2 - 47*p**2 - 51*p**2 + 681*p**3.\nAnswer: 681*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11334 + 11330. Which is the biggest value? (a) -14\/23 (b) -5 (c) -2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035758233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**4 - x. Let k(u) = -3*u**4 - 64*u**2 + 2*u + 248. Let j(p) = -2*g(p) - k(p). Find the first derivative of j(d) wrt d.\nAnswer: 4*d**3 + 128*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12640, 50402, 113292, 201310, 314456?\nAnswer: 452730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-202)\/(-1515)*(50\/16)\/(-5).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(2499) - (sqrt(2499) - (sqrt(2499) + -1*sqrt(2499) - sqrt(2499) - sqrt(2499)))) + sqrt(2499)))\/(sqrt(30)\/(sqrt(810)*-1)) + -3)**2 + 5 + -1.\nAnswer: -756*sqrt(17) + 269905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -51, -120, -209, -324, -471, -656?\n\"Answer: -p**3 - 4*p**2 - 50*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3000 - -331. Is d a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95\/20)\/((-481)\/(-1924))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 549 = 4556. What is d rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15.12 (b) 4 (c) 39 (d) -9 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a millimeter in micrometers?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.82125 millimeters to kilometers.\nAnswer: 0.00006982125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 1. Suppose 49*q - 77 = 156 + 12. Sort 4, f, q, -4 in decreasing order.\nAnswer: q, 4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 5*x + 106. Let s be y(8). Let k(q) = -436*q**2 + 264*q**s + 212*q**2. Let b(j) = 2*j. Calculate b(k(f)).\nAnswer: 80*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d**2 + 4*d**2 + d - 7 + 5. What are the prime factors of c(-3)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -10. Suppose 0 = -g - 5 + 1. Let r be (-15)\/(-10)*g\/(-6). What is the closest to 2 in 5, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -505 (base 8) to base 5.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200123301 - 110123?\nAnswer: -200300030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 2*k**2 + k + 2. Let s(h) = h**3 - 2*h**2 + h + 2. Let c(w) = -4*s(w) + 3*y(w). Suppose r + 2 = 2*r. Determine c(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 520*r + 285 wrt r.\nAnswer: 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -18301?\nAnswer: 18301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 215 - 301. Let m = -85.999949 - q. What is m rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1644948 divided by -822474\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20216 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 876298 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**5\/20 + 11*d**4\/16 + d**3\/3 - 7*d + 4. Factor v(q).\nAnswer: q*(q + 8)*(4*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6555 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 592049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10852, 170 in descending order.\nAnswer: 10852, 170, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(396) + 5)**2 + ((sqrt(121)*-1*4)\/(2*-1*sqrt(11)))**2.\nAnswer: 120*sqrt(11) + 1656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001448529 rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -12*g + 8*g + g**3 + 3*g + 2 - 1 + 2*g**2. Let k be (-4)\/22 - 15*12\/99. Determine t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2076 by 6.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*n + 655 = 196 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10225 = -5*g + 4*r - 10234, g = r - 7*r - 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292.0263 decades to millennia.\nAnswer: 2.920263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 452047 - 3.5?\nAnswer: 452043.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times 0.5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22, -91, -212, -391, -634, -947, -1336?\n\"Answer: -l**3 - 20*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-5\/2)*r)\/(r*r\/r**(-6)*r))\/(((r**(-4)\/r)\/r)\/(r*r**(-1\/4)\/r)))\/((r**4*r)\/r**3)**(-43) assuming r is positive.\nAnswer: r**(325\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, j: 2, e: 6, i: 2}. Give prob of picking 2 j and 1 i.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01536985 - -3.\nAnswer: 3.01536985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t**3 - 6*t**2 + 0*t**2 + 3*t**3 + t**2 - 5*t**3.\nAnswer: 7*t**3 - 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in -4, -4\/3, -0.04, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -20 + 18 - 13 - 2*v. Let c(d) = 2*d**2 - 4*d - 5. What is the remainder when c(4) is divided by b(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139\/405 - 4\/405. Let u = 31 - 31. What is the nearest to u in 1\/7, -5, o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-56)\/102 + (1 - (-3)\/(-9)). What is the third biggest value in -1\/4, 8, 2\/41, v?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - (-16)\/3)*3. Let l be a\/(-3) - (50\/(-15) - -3). Let f be 4\/16 - l - (-2)\/(-8). Which is bigger: f or -1\/143?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4.96. Let v = 43 + -43. Which is greater: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 7 + 13)*(-3 + 3*j + 2*j - 3*j) to the form b*j + l and give l.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-9)*26\/260*60?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-693)\/84 - -19 - 15\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -175 and 181384.\nAnswer: 181209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 - 134. Let p be -5 + (-80)\/v - (-6)\/9. Solve p = d + 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-1) - (-2)\/1. Suppose b + 2*b = m*j + 1, 4*j + 2*b = 22. Determine t so that 0*t**4 + 0 + 4*t + 2*t**4 - 2 - j*t**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2194\/187 - 218\/17. Which is the nearest to -1? (a) 0.5 (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49991759 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: What is the third derivative of -424071*u**3 + 555726*u**2 - u - 35?\nAnswer: -2544426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g*h**3*w + g*h**2*w**2 - 2*g*h**2*w - g*w - 2*h**3*w**2 + 2*h**3*w + 2*w**2 wrt w.\nAnswer: 2*g*h**2 - 4*h**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkl when three letters picked without replacement from fkffkkll.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a**3 - 10*a**2 + 8*a + 28. Let q be g(-10). Round q to the nearest 100.\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181\/1548 + -1\/172. Is f greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 63. Suppose 110 = v*d + 101. Find the first derivative of -8*y**3 - 1 - 11*y**d + 11*y**3 - 7*y**2 + 3*y**2 wrt y.\nAnswer: -24*y**2 - 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*u - 4*u + w, 0 = -2*u - 5*w - 17. Suppose 3*c - 12 = a, 2*a + c = u*c - 15. What are the prime factors of 2\/(-1 + (-5)\/a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2361.\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -451*b + 3. Let z be v(-1). Let d = 457 - z. Determine u, given that 2\/19*u**4 - 2\/19*u**d + 0 - 4\/19*u**2 + 0*u = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103 - -108. Suppose -2*c - 6 = -j*c. Find the second derivative of -20*a**3 - 31*a + 169*a**2 - 169*a**c wrt a.\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/42 - 24010010\/35. What is r rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 835852 divided by -23\nAnswer: -835852\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -406 * 2\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1417916284 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -2225598.284.\nAnswer: 2225598.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -170*a + 0*a**2 + 0*a**3 + 172 - 109\/4*a**4. What is the derivative of k(f) wrt f?\nAnswer: -327*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4948946652?\nAnswer: 2, 3, 13, 283, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1565, 1567, 1579, 1607, 1657, 1735, 1847?\n\"Answer: b**3 - b**2 - 2*b + 1567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n - 52. Let v = -8 + n. Suppose -1070 = -v*m + 115. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 288964?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (39\/(-6) - -7)\/(-1 + (-54443)\/(-54442)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: 45d (base 16) to base 12\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 + -194. Let l = -101.00497 - u. What is l rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z + z)*(-1144*z + 2341*z - 35*z**2 - 1140*z).\nAnswer: -35*z**3 + 57*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*j - 4*j**2 + 10*j**4 + 4*j**2 + 46*j wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 477183684837?\nAnswer: -477183684823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 20. Suppose -z*h = -11 - 1. What is the third derivative of -2*v**4 - h*v**2 + 3*v**4 + 4*v**2 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**3 + 13*b - 89. Let q(j) = -j**2 - j + 7. Let p(g) = -2*l(g) + 5*q(g). Calculate p(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 20. Let j(s) be the second derivative of -s**5\/20 - 5*s**4\/12 + 2*s**3\/3 + 4*s**2 + s. What is the least common multiple of j(-6) and t?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 7*a - 7. Let f be y(8). Let i be f\/(((-4)\/(-6))\/(604\/6)). Let q = 243 - i. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 88 + 146 - 185 - 4 - 3*v + 4 + (0 + 5 - 4)*(0 + 0 + 2*v) - 4 - 2*v + 4 + v - 3 + 2*v - v to the form p*v + h and give h.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 436904776 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 3*m**2 + m - 7. List the prime factors of k(4).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 at least -0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7481790.7 - 0.6.\nAnswer: -7481791.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*p - 1)*(p**2 + 2*p**3 - p**2) - 62*p**2 + 3 + 62*p**2 + 11*p**4 - 6*p**3 + 2*p**3 + 2*p**4 + 2*p**3.\nAnswer: 9*p**4 - 2*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 313052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2425.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62990, -63068, -63146, -63224?\nAnswer: -63302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 3*z - 1. Let n be u(4). Let d be (n\/15)\/(2\/(-8)). Let o = 0.1 - 3.1. Sort o, 1\/2, d in ascending order.\nAnswer: o, d, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 2*y - 2. Let f be m(1). Suppose 4*b = 3*t + 883, -f*b - 2*t = -598 + 160. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6308*z + 548*z**2 + 6308*z.\nAnswer: 548*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 309143.57 and -25.\nAnswer: -7728589.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 413, 5, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 648*v - 184972. Determine c(286).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/474 and -157\/9480.\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 5*k**2 - k - 5. Let m be d(-4). Let b = 24 - m. What is the highest common divisor of 81 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 0, -4, 301 in decreasing order.\nAnswer: 301, 0, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 26*b - 8. Let f(u) = -u**2 + u + 2. Give 2*f(h) + y(h).\nAnswer: -h**2 - 24*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 6 + 2. Suppose 0 = k*w - 50 + 10. Solve 5*a + w = -5*o, -o - a = 4*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3146 * 64243.\nAnswer: 202108478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1226083.5 microseconds to hours.\nAnswer: 0.00034057875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 5*i**2 + i + 1. Suppose 29*k = 329 - 445. Let q(v) = 2*v**3 + 11*v**2 - 3*v - 2. Determine k*q(a) - 10*g(a).\nAnswer: 2*a**3 + 6*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 + 75*m - 100. Determine v(-31).\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a**2 + 7*a + 57. Let m(r) = 18*r**2 + 18*r + 113. Let q(f) = 5*g(f) - 3*m(f). What is q(22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(-2*(sqrt(85) - -2*sqrt(85)) + 2*1*sqrt(85) + sqrt(85))\/(1*sqrt(1375)\/sqrt(11)).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0 - 6 = 0. Let l be (-1 + 7 - a) + 8. Suppose 2*i - 78 + l = -3*y, 0 = -2*i + 5*y + 43. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 58 + -31 + -9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 + 5*f**4 - 2*f**4 + 2*f**4 - 2*f**4 - f**4 + (0*f**2 - 2*f**3 + 0*f**2)*(0*f + 5*f - 3*f) + f**4 + 2*f - 2*f - 4*f**4 - 12*f**4 - 9*f**4.\nAnswer: -25*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, m: 9, b: 3}. What is prob of sequence bmb?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 s when four letters picked without replacement from {l: 3, t: 8, d: 4, s: 1, w: 1}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s - 34*s - 17*s + (0*s - 3*s + s)*(163 - 30 - 55) to c + a*s and give a.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196483 is divided by 977.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 388576 and 18?\nAnswer: 3497184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 30079*q**3 + q**2 + 23*q - 17. Let a be y(5). Suppose -3 = 5*m - 2*m, -2*m = 2*l - a. Round l to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5714)\/18)\/(835\/(-15)). Let y = d - 6\/167. What is the common denominator of (38\/(-45))\/(2\/(-6)) and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o - 48. Calculate the least common multiple of k(8) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + y + 25, 140*n - 5 = 145*n - 4*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-18)\/(-14))\/3*-7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**3*o*y**3 + 235*h**3*y**3 - 2*h**2*y - 2*h*o*y - 4*h*y**3 - 3 wrt h.\nAnswer: -6*o*y**3 + 1410*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2204 - 0.01257\nAnswer: -2204.01257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 10*p + 5. Let s be 5\/((-15)\/9) + 3. Let l(k) = 2*k - 5. Let w be l(4). Put w, p, s in descending order.\nAnswer: w, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119 + 0*b**2 + 2*b**3 + 98 - b**2 to v*b**2 + d*b**3 + t*b + j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20033333 (base 4) to base 12.\nAnswer: -1767b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*y - 23, -3*s + 5*s + 26 = 4*y. Suppose 0*g = 9*g - 211 + 193. Solve 4*n + 13 - 4 = k, 0 = g*k + 3*n + y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125984*w**3 - 125976*w**3 + 251961*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -11 + 2*z + 0*z**2 + 2*z + z**2. Suppose 3*b + 0*k + 43 = -5*k, -4*b - 14 = -2*k. Let n be a(b). Put 4, 3, n in descending order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*u = -14, 4 = 4*j - 0*j + 2*u. Let w be -83*(j + -2 - 6). Suppose -w = 6*k - 11*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5013 (base 9) to base 8\nAnswer: -7111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 7:45 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 5 = -163 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204 (base 12) to base 7.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2190603 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2 - 168*t + 52. Let q be s(26). What is the greatest common factor of 156 and q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 413336810 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 54812 and 884192.1.\nAnswer: 939004.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (3 - 5)) + 7496. What is z rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**1*h)\/((h*h**17*h)\/h))**(6\/13))**(-3\/4) assuming h is positive.\nAnswer: h**(153\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l**3 - 14*l + 12*l**3 - 6*l**3 + 16*l to the form m*l + k*l**3 + x*l**2 + a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.281059, 0.07.\nAnswer: -0.2, 0.07, 0.281059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(68) + sqrt(68)*-1*-6 - (-1*(1 + sqrt(68)) + sqrt(68))) - (sqrt(68) + -1 + -1 - 3*sqrt(68)*2))**2.\nAnswer: 1504*sqrt(17) + 150276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 157783 and 664?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q + 3150 = -16*q. Calculate the highest common factor of q and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:57 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -172*t + 9. Let g(s) = -s. Let o(x) = f(x) - 6*g(x). Let w be o(-2). Calculate the greatest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*6\/42)\/1. Suppose 5*m - 3 = 2, p = 4*l + 2*m - 650. Calculate the highest common factor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 + 800\/24)\/(1\/3). Let i = 299 + x. Does 54 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633434 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -51*m**3 - m**2 + 50*m + 508. What is the units digit of f(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6025855363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -985065 by 1.\nAnswer: -985065","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12654 = 1912*j - 4554 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 16*h**2 - 155*h + 1246. Determine t(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22415454 (base 6) in base 16?\nAnswer: -a7afa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*b**3 + 254109 - 254109.\nAnswer: -400*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrlrlsxxxxrwxxxxss. Give prob of picking 1 l and 1 x.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187 - 187.06. What is the closest to n in 0, 1\/2, -2, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p. Let y(h) = 22*h. Let k(g) = 221*g. Let z(f) = 4*k(f) - 39*y(f). What is 16*s(i) + 3*z(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*j - 0*j, 2*z - 20 = -j. Suppose -s - s = -z. Let 1 + 2*k**2 - 3*k**2 - 5 - s*k = 0. Calculate k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -56*z**2. Let y(c) = -713*c. What is y(q(s))?\nAnswer: 39928*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -91 (b) 0.4 (c) 4\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 28. Let u(n) = -4*n**3 + 12*n**2 + 32*n + 8. Let l(x) = x**3 - 4*x**2 - 11*x - 3. Let r(h) = f*u(h) - 8*l(h). Find s, given that r(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 4)*(0 + 1\/16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (0 + sqrt(300))**2 - (sqrt(216)\/(sqrt(27)\/sqrt(3)))\/(sqrt(288)*2).\nAnswer: -sqrt(3)\/12 + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1953*u**2 - 84*u + 330. What are the prime factors of t(5)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o - 12. Let a be c(-5). Let x = a + -6. Which is smaller: x or 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 90\/(-70) + 1 + 0. Let u = -4.037 - -0.037. What is the second biggest value in -3, u, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 654480 and 128976.\nAnswer: 1758587760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 3, z: 3, v: 1, n: 7, d: 2}. What is prob of sequence npd?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.4. Let r = -1 + 1.4. What is the third biggest value in -2\/11, p, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 4, 0.04, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13046, -26110, -39182, -52262, -65350, -78446?\nAnswer: -91550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010157 to 6 dps.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 60?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5044921*d**3 - 2*d**2 + 1873947*d wrt d?\nAnswer: -30269526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5 = 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 - 71.8. Which is the closest to -0.2? (a) -5 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/3*(-12)\/(-20). What is the third derivative of -4 - 211*x**2 - 376*x**3 + 394*x**t + 4 wrt x?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -223*p**5 + 5*p**4 - 392*p**3 + p**2 + 6*p + 227939?\nAnswer: -13380*p**2 + 120*p - 2352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1353 + -69001\/51. Put -3, t, 1 in decreasing order.\nAnswer: 1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 521\nAnswer: -2084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 2:00 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 35 = -10. Put -2, t, -5 in descending order.\nAnswer: -2, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8164.73 and -0.1.\nAnswer: -816.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**4\/4 - h**3\/3 + h**2\/2 + 2*h + 1948. What is u(3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*q + 29. Calculate the greatest common factor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 9*o**2 - 12*o - 36. Let i be (-4 - 5) + 5 - 3. Let b(u) = u**3 + 8*u**2 + 11*u + 19. Let l be b(i). What is the tens digit of d(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10576, -21250, -31924, -42598, -53272?\nAnswer: -63946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/12 - 2*o**2 - 15*o. Let l(d) = 6*d**2 - 3*d + 5*d - 2*d. Determine l(v(n)).\nAnswer: 150*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2. Let u(i) = -15*i + 8. Let x(k) be the third derivative of 95*k**4\/8 - 25*k**3 - 15*k**2. Let c(r) = 75*u(r) + 4*x(r). Determine a(c(v)).\nAnswer: -450*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 766*w - 292*w - 614*w - 13*w**2 to the form b*w**2 + t + x*w and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + 2) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:18 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 0*b**2 + 1\/4*b**4 - 2*b + 4\/3*b**3 + 4. Suppose 2*v - 6 = 4*v. Calculate u(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1050*t + 561. Let q(c) = 4*c - 17. Calculate -2*j(n) - 66*q(n).\nAnswer: -2364*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165087 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1) - 22\/2. Is -11 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a + 1 + 2*a + a**2 + 4*a. Let s(c) = 2 - 1 + 6*c**2 - 3*c**2 + c**3 - 2*c**2. What is -2*n(b) + 2*s(b)?\nAnswer: 2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*o + 1565809 - 1547469 = 0 for o.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46465768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c**5 - 7*c**5 + 21*c**5 + (-2 + c + 2)*(8*c**4 - 3*c**4 + c**4).\nAnswer: 28*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/591 + -53891\/5910. Let f = 10949 + -109531\/10. What is the common denominator of f and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*i**3 + 10\/7 - 13\/7*i + 2\/7*i**2.\nAnswer: (i - 2)*(i - 1)*(i + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 2. Let m = 4 + 3. Is f(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 3. Let m(d) = -22*d + 12. Calculate -10*i(s) + m(s).\nAnswer: -12*s - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-7 + (-2 - -16) + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**6 - 16*f**3 + 12*f**2 + 8*f. Let a(q) = 16*q**3 - 13*q**2 - 9*q. Let l(u) = 4*a(u) + 5*n(u). What is the third derivative of l(i) wrt i?\nAnswer: -600*i**3 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 4 (c) -20 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7277962319786 + -0.5\nAnswer: -7277962319786.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 119\/20 in -2\/9, -4.1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/22 - (2\/(-22))\/(181\/(-97378))) + 4?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 - 2 = 0, 5*k - 20 = 3*b. Suppose b = -7*c + 36 - 1. Let g = -6 - -13. What is the least common multiple of g and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2642655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77 - -8) + (-580 - -499).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 5*h - 33. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.13, 4, 15?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -118. Let s = n + -62.02. Let x = -0.06 + 0.46. What is the second biggest value in x, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.91 - -5.91. Let i = -3\/19 + -10\/57. What is the second smallest value in 2, n, 5, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.232 smaller than -37.24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 5*h - 3*h + 4*s, -2*h + 4*s - 38 = 0. Let g = h + 25. Find the second derivative of -76 - 23*b + 76 - 17*b**g wrt b.\nAnswer: -204*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 1223395\nAnswer: 34\/1223395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let g(a) = -a. Let i be 6\/(-18) + 11\/(-3). Let k(y) = i*c(y) - 7*g(y). Let v(u) = u**2. Determine v(k(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67674.66 rounded to the nearest 10?\nAnswer: 67670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d**2 - d. Let j(w) = 10*w. What is j(u(r))?\nAnswer: -60*r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 0 (b) -5 (c) 791\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(0 - (0 - -1)). Which is the nearest to 0.1? (a) -5 (b) m (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5272000 rounded to the nearest 100000?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1229*y - 581 + 1738 + y**2 - 583 - 577.\nAnswer: y**2 + 1229*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55 or -5\/16?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4c778 - 16?\nAnswer: 4c762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 224 - 1?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((516\/430)\/((-1)\/(-5)))\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srsfrsfsssrfs. Give prob of sequence ff.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + -100010?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**4\/3 + 2*a**3\/3 - 44*a - 3. Let g(c) be the first derivative of d(c). Let g(i) = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -206 - -461\/2. Let m = u - 26. Which is the third biggest value? (a) m (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 414 + 407 = -2*z, 5*z + 2 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.2 (c) -0.2 (d) -344 (e) 4 (f) 10 (g) -3\/359\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 7*o. Let d be g(-6). Is 18 a factor of 2*(167\/4 + d\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54113105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*x**2 - 123*x**2 + 196*x**2.\nAnswer: -53*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(24)*1))**2*2.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, g: 4, e: 1, x: 9}. What is prob of sequence ug?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**5\/20 + o**4\/6 + o**3\/2 - 13*o**2\/2 + o - 69. Is w(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -151, -333, -587, -913, -1311, -1781?\nAnswer: -2323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 4 + 1)*(0*s - s + 3*s)*(-2 + 4 - 3)*(-2*s + 3*s - 2*s).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 103 (c) -0.5 (d) -1 (e) 0.1 (f) -49\/13 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whxdrddprwhx. Give prob of picking 2 w, 1 p, and 1 d.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 104\/20 + -6 + 0. Which is the closest to 1\/10? (a) -2 (b) r (c) -2\/3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6127*p - 2154 = 6294*p - 126364 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 17172\/6541?\nAnswer: 17172\/6541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*i + 14*i + 8*i.\nAnswer: -63*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/((-3)\/(-6)). Suppose -k + m*k - 11 = -3*r, 2*k + r - 5 = 0. Let o(y) = -9*y**3 + 2*y**2 - 1. What is o(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -u**3 + 272*u + 763?\nAnswer: -3*u**2 + 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 292179 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6264003ml?\nAnswer: 0.0006264003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 649 and 396?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, 19, -2 in ascending order.\nAnswer: -192, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 1 - 5. Let i be -2 - (l\/4 - -1). Let d = 107 - 331\/3. Which is the third biggest value? (a) i (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/10, 0, 3, 1, 4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-689324)\/16*2\/(-5) + (-79)\/790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - 7) + 1)*(148080\/7400 + -20)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -10\/7 (c) -4\/3 (d) 2\/7 (e) -2\/11 (f) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:34 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 + -2.1. Let x = 4.3 - q. Let u = -0.1 + -0.4. What is the smallest value in -0.6, u, x?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2\/9 - 1132*p\/9 + 160178\/9 = 0. What is p?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*2\/24*18\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 405005 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b (base 12) to base 13.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-10))\/((-2601)\/578).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4, 2*v + 1 + 3 = 2*r. Let q be 3*6 + 3 + v. Let n = -7 + q. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 2*q**7\/105 + 7*q**4\/24 - 15*q**2. Find the second derivative of x(k) wrt k.\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*j - 4*a, 0*j - 4*j + 3*a + 120 = 0. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 2, u: 2}. What is prob of picking 3 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, 4434\/11, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, -37, -61, -89?\n\"Answer: -2*c**2 - 14*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - h + 11, -3*y - 3 = -4*y - 5*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 44*v**2 - 193*v - 76. Let h be l(39). Let j(g) = g**3 + 2*g**2 + g - 1. Let c be j(-2). Put -5, h, 0, c in ascending order.\nAnswer: -5, c, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3462*i**3 + 3*i**2 + 10944*i - 2?\nAnswer: -20772*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)*p)**(-30)*(p*p**14)**13)**(-9) assuming p is positive.\nAnswer: p**(-2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 168?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12680 divided by 2536.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -14, 20\/7, -0.304, -1, 0?\nAnswer: -0.304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9704 greater than -9298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r - 10. Suppose -r*b - b = -33. Let j = b + -8. Solve 0 = -j*d - 1 + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 + 7*c**2 + 8*c + 2. Let m be h(6). Let x = -129 - m. Is 14 a factor of (x + -116)*128\/(-80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2195 + 14685 + 10543 + 2*n + 16286 - 10448)*(-4 + 3 - 2).\nAnswer: -6*n - 99783","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3 + 91041*t**2 - 9959112*t = 0. What is t?\nAnswer: -30456, 0, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -21423\nAnswer: -192807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.123 and 550.634.\nAnswer: 550.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 3 - -2 - -57. Let x = s + -33. What is the smallest common multiple of x and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 + -7) - (6 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((2\/((-4)\/2))\/(8\/(-300)))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2567392160 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10247*u**2 - 4*u + 1. Let g be a(-2). Suppose -g = -24*f + 41395. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 11. Let u be q(5). Let w = u + 1. Suppose 4*o = w + 2. What is the highest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*z + 5956 = -983*z - 2334 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100122122120002 (base 3) to base 9.\nAnswer: 10578502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o - 29*o = 3*x - 13, -4*x = -4*o - 12. Solve i - x*j - 5 - 3 = 0, 25 = -4*i - 3*j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 0.02.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625345?\nAnswer: 5, 7, 17, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17810, -71477, -161000, -286379?\nAnswer: -447614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) -0.7 (b) -1\/6 (c) 1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21723210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*171986\nAnswer: 275177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506510?\nAnswer: 2, 5, 50651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 2. Let l(q) = q - 2. Let v(m) = -5*m**3 + 3*m - 15. Let n(f) = -3*l(f) + v(f). Determine 18*g(x) - 4*n(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 5:46 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -16*a**3\/7 - 404*a**2\/7 - 2404*a\/7 - 576\/7 = 0?\nAnswer: -16, -9, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(14 + -6 - 1 - 73). Suppose 385 - 113 = 4*o. Let z = b + o. Solve -30 = 4*q - 7*a + z*a, -3*q = -a + 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5384347 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191701233, -191701232, -191701229, -191701224, -191701217, -191701208, -191701197?\nAnswer: -191701184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t + 23. Let j(m) = 7*m + 24. What is -4*j(z) + 3*y(z)?\nAnswer: -z - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4826*i + 3842.\nAnswer: 4826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 22 = 2*g, -3*a + 4*g - 10 - 14 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335866?\nAnswer: 2, 61, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m - 9*m + 14751 = 0. Let p = m + 49. What is the greatest common divisor of 31 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 34*v**2 - 38*v + 65. What are the prime factors of n(-17)?\nAnswer: 41, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**4\/24 - 3*d**2 + 3. Let z(b) = 1 - 11*b + 5 + 1 - 3. Calculate w(z(r)).\nAnswer: -11*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1882*y - 1898*y + 64. Suppose 22 = 16*n - 14*n. Solve 0*t + k = y*t - n, -2*k = 4*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by -6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/s**6)))\/((s\/(s*s\/s**0))\/s))**(19\/2)*((s*s**(-1\/2))**(-49))**(1\/5) assuming s is positive.\nAnswer: s**(-167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0*z - z + 67, -162 = -2*p + 5*z. Let a be 2214\/574 - (-12)\/(-14). What is the second derivative of w + 2*w - 71*w**2 + 31*w**a + p*w**2 wrt w?\nAnswer: 186*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 5, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*a + 2829 = 4*a + 3061 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 5:32 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -590, -30, -3, 0 in decreasing order.\nAnswer: 2, 0, -3, -30, -590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307847*i - 24 = -307846*i + 4*w, 0 = i - 3*w - 4 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 3*i + 51, 0 = -29*i + 90*i - 64*i - 2*u - 15 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 230, 317, 106, -553, -1810, -3815?\n\"Answer: -25*u**3 + u**2 + 259*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -w - 4*w - 9, -w + 3 = o. Suppose -3*f - 6 = -2*a, -5*f + 1 - o = -a. Suppose -a = 3*p, u - 8 = p + p. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, n: 1, t: 5}. Give prob of picking 1 n and 1 f.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 4*m + 2*m + 5*m - m - 3*m + 0*m - 2*m + 3*m + (-41*m - 7*m + 2*m)*(-3 + 2 + 2) + (6 + 0 - 5)*(4*m - 2*m - m) + 3 + m - 3.\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) 3\/10 (c) 0.5 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 799, 3149, 7063, 12541, 19583, 28189?\n\"Answer: 782*q**2 + 4*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4132, 8245, 12334, 16393, 20416, 24397?\n\"Answer: -q**3 - 6*q**2 + 4138*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -4, -5, -12851?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -136074 <= -136073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -878 = -14*r + 1376. Let t = r + -158. Which is the third smallest value? (a) t (b) -1\/4 (c) -1\/3 (d) 5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -220379, -220398, -220417, -220430, -220431?\n\"Answer: t**3 - 6*t**2 - 8*t - 220366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -12. Suppose -436 = -4*g - 2*t, -q*t = 5*g - 0*t - 547. List the prime factors of g.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350.221748 rounded to two dps?\nAnswer: 350.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seeenss. What is prob of sequence sne?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -11807864 < -11807850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from mssmmrs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 9*p + 11. Let y be (-35)\/4 - (-2)\/(-8). Let f be (-4)\/(-18) - 70\/y. What is the units digit of n(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 32 = -5*i + 83, 4*q = 4*i + 460. Let x be (q\/(-10))\/((-2)\/(-4)). Let r = x - -25. Which is the biggest value? (a) 2\/11 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y = 0. Suppose -r - 2*r + 21 = y. Let h(x) = x**2 - x + 2. Calculate the remainder when r is divided by h(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**3 + 8*n**3 + 2*n**2 + 9 - 11*n**3 to the form t + f*n + y*n**3 + q*n**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - 4*a)*(-53*a - 14772 + 14772).\nAnswer: 53*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -20*l - 69. Let j be o(-5). Solve 28*x - j*x - 9 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*j + 8, -3*n - 9*j = -7*j - 4. Suppose -w + 2*s + 69 = n, 4*w = -s + 5*s + 256. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -4, 3\/7, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**8\/1680 + s**4\/12 + s**3\/3 + s**2. Let a(i) be the first derivative of q(i). What is the first derivative of a(k) wrt k?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(70)*3 - ((2*sqrt(70)*2 - sqrt(70)) + sqrt(70)))\/((sqrt(250)*1 + sqrt(250))*5*-5) + -1.\nAnswer: -1 + 7*sqrt(7)\/250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ttwttuvtwtuwwtt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 280277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 5. Let g be h(-8). Let v(c) = 7*c - 1. Let s(d) = -4*d + 3 - 3. Let a(f) = g*s(f) + 6*v(f). Calculate a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/12)\/(599\/3594).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**0)**(-18\/13)*(n*n\/(n*n\/n**(-1)*n)*n*n)\/n*n*n**(-4)*n*(n**(-2\/5)\/n)**38\/(n**(1\/9)\/((n**(2\/9)\/n)\/n)) assuming n is positive.\nAnswer: n**(-34792\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 5*k + 1. Let f = -19 + 25. Let t = f - 4. Is t <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 13. Let w be 1 - l\/((-4)\/(-2)). Calculate the remainder when 3 is divided by (-3)\/9 - (-14)\/w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x + 36*x = -50. Sort 68, -1, x.\nAnswer: -1, x, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3317\/11 + -301. Suppose -2*k + 2*s = -3*s + 16, -5*k - 6 = -4*s. Suppose -k*m - 6 = 6. Sort -1, m, x in increasing order.\nAnswer: m, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 + a**2 - 576*a**3 + 576*a**3 + 12*a**4 wrt a?\nAnswer: 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 15 - 299. Let g(t) = -2*t**2 - i*t + 314*t. Let m(k) be the first derivative of 8*k**3\/3 - 1. Calculate g(m(p)).\nAnswer: -128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Suppose 3*b - 20 = -n*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 1 + (-26 - (-22 - -12 - 6)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(9\/4)*z**(-8)*z)\/(z\/((z*(z\/(z*((z\/z**1)\/z)\/z))\/z*z)\/z*z*z))**39)**(-44) assuming z is positive.\nAnswer: z**(-4939)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/11 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 7*x - 2*x - 9*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35, -139, -349, -701, -1231, -1975, -2969?\n\"Answer: -6*p**3 - 17*p**2 - 11*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 80080.\nAnswer: -1\/40040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000254571 to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 0 - 2 - 3 - 2*s + 0 to a*s + f + j*s**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 1, f: 2, d: 1}. Give prob of sequence tf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**3 - 4938660*s**2 - 29632140*s = 0.\nAnswer: -6, 0, 987738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 740\/666*(-6)\/4*4320\/(-3900).\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6592730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 238350?\nAnswer: -1\/39725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146788, 4, -4.\nAnswer: -4, 4, 146788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3023 or -3026?\nAnswer: -3023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -45*s**3 + 18*s + 12 + 10*s**2 + 4 + 46*s**3. Let x be r(-8). Is 4\/9 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48 + 39*x + 22*x - 48 + 4*x - 6*x + 0*x + (-2 + 4 - 1)*(3 - 3 + x) - 11*x - 3*x + 18*x.\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10541 - -162?\nAnswer: 11033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-2)\/(8\/36). Let i be (-3 + z)\/(-2) + 13. What is the tens digit of (32\/20)\/(1\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 5*x - 2. Suppose -2*y + 6*g - 3*g + 21 = 0, -2*g = 3*y + 1. Suppose 16 = k - y*k. What is the remainder when n(k) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -17. Suppose 10 = 2*v, 0 = -y - 4*y + 3*v - 450. Let s = y - -84. Sort p, 3, s, -1 in descending order.\nAnswer: 3, -1, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (12 - 5) + -7 + -4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 21. Let x = -67 - -117. What is the remainder when x is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u**2 - 9*u - 4. Let z be v(4). Let g be -2 - 22\/8*z\/(-150). Suppose 1\/5*o**4 - 1\/5*o**2 + 0*o + 0 - 1\/5*o**5 + g*o**3 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 2*d**2 + 2*d. Let w be g(2). Suppose 3*t - w = t. Suppose m + t = 3. Is 1 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2\/7 - 48*s\/7 + 351\/7 = 0.\nAnswer: 9, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26441 = 910*i - 6319 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 22*g - 82. Let z be d(4). Suppose 0 = -17*a + 40 - z. Factor -11\/3*j - a - 1\/3*j**3 - 2*j**2.\nAnswer: -(j + 1)*(j + 2)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 17*i + 19. Let k(j) = -52*j - 55. Let s(b) = 6*k(b) + 17*t(b). Let v(q) = 11*q + 3. What is 4*s(w) + 9*v(w)?\nAnswer: 7*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 174 - 208. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6914368 is divided by 498?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 316 and 109636?\nAnswer: 8661244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s - 3. Suppose -5*d = -2*y - 6, 6*y = 4*d + 4*y - 4. List the prime factors of u(d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n**3 - 2*n**2 + 1. Let j be i(-1). Suppose 0 = 5*k + 3*u + u + 109, 0 = j*k - 3*u + 102. Let q = -8 - k. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - n - 2 + 3, -5*k - n + 1 = 0. Let y(d) = -d**3 + d**2 - d - 1. Give y(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 13*i + 49. Let o(r) = 11*r + 18. Let b be o(-3). Let h be f(b). Calculate the greatest common divisor of h and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2885232827.\nAnswer: 283, 10195169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0365436 and -334284802.\nAnswer: -334284802.0365436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(55\/(-22) - (1 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 192)\/((-2)\/(-6)). Is (n\/15)\/((-5)\/25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412407 is divided by 16458?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 475136 (base 8) in base 16?\nAnswer: 27a5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 51. Let x be b(33). Solve 0 = 3*h - 6*h - x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**3 - d**2 + d + 2. Let f(o) = 22*o**3 - 4*o**2 - 121*o - 5. Calculate f(i) + 3*q(i).\nAnswer: i**3 - 7*i**2 - 118*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 878.99999507 + -879. Round z to seven dps.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 303519457 to the power of 1\/3, to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 + 6*u**2 - 5*u - 13. Give f(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - o - 6 = 0, 9*b + o = 8*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3222125 in -0.1, -1\/4, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19127951 is divided by 2390992?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -370 or -418?\nAnswer: -370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -349429, -698856, -1048287, -1397722, -1747161, -2096604, -2446051?\nAnswer: -2795502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + (1 + sqrt(1377) - sqrt(1377)))**2*-5 + 1.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + h - 6*h + 2 + 4*h + 5*h.\nAnswer: 2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 w, and 1 v when three letters picked without replacement from wwvwvvjjawwwwwwvva?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, 731, 1187, 1627, 2045?\nAnswer: 2435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(17) - (sqrt(17)*5 + 5) - ((1 + sqrt(17))**2 + 2)) + 0.\nAnswer: -27 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence php when three letters picked without replacement from pzzppzzhzzpzzh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gccccgcgccgg. Give prob of picking 2 c.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9488 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a**3 - 4*a**2 - 56*a - 6. Calculate d(4).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6548916 is divided by 337?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2147.5005 - -2147. Let b = j + 0.5. Round b to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o - 4. Let a(h) = 8*h + 5. Calculate 6*a(t) + 7*f(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1670574?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-206)\/(-4)*410\/((-27880)\/136)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1760)\/640 + (-18)\/8. Put l, 2, -2189, 0, 4 in increasing order.\nAnswer: -2189, l, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 134? (a) -3 (b) -0.4 (c) 2\/15 (d) 2\/5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-270)\/(-12150)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*n - 4 = 0, y + 0*y = 4*n - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -7*q + 2*q. Let d(z) = 5*z**2 + 5*z - z**3 + 4*z + 2*z**3 - 2*z**3 - 5. Is d(q) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 19 = -1. Let i(u) = u**2 - 3*u + 2. Let p be i(y). Let n be ((-3)\/(-7))\/(p\/(-4)). Which is the third smallest value? (a) 3 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -52*f**3 - 13*f**2 + 8*f. Let l(r) = -r**3 + 4*r**2 - 2*r. Give -d(s) - 4*l(s).\nAnswer: 56*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:45 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0398 - 274.0398. Let y = w - -278. What is the third biggest value in -0.15, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*(-2)\/5. Suppose 4*q = -4*k - 12 - 0, 2 = -2*k - q. Let g be 4\/(-3)*9\/(-8). Which is the second biggest value? (a) g (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 253080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 3, 6, -3 in descending order.\nAnswer: 6, 3, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -376262 - -836262. Suppose t + 4*t = -l. What is t rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299916880?\nAnswer: 2, 5, 199, 18839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.108, -0.1, 2\/3, 4, 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.112\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 4*sqrt(77))*-6 - (2*sqrt(77)*-3 - sqrt(77)))\/(-3*(sqrt(7) - sqrt(847)*1)*5).\nAnswer: -23*sqrt(11)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnffffnrfrddfrg. Give prob of picking 1 n and 2 d.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -633282 divided by -39?\nAnswer: 16238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 64\/(-72)*(-27)\/6. Sort 5, -1, -2, u in increasing order.\nAnswer: -2, -1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -503, -1005, -1507, -2009, -2511, -3013?\nAnswer: -3515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q**3 - 6*q**2 + 17*q - 7. Let y(f) = -5*f**3 - 3*f**2 + 9*f - 4. Let u(i) = -4*w(i) + 7*y(i). Give u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 0.1, -0.3, -2\/9, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -21*w. Let f(j) = 2584*j. Give r(f(o)).\nAnswer: -54264*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.731522kg in grams?\nAnswer: 8731.522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426*m = -425*m - 4*i + 24, 0 = 3*i - 21. Let h = -254 + 1130. Suppose -m*q = -100 - h. Calculate the remainder when q is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n\/(n**(-18)*n*n))))\/n*n)\/(n*(n*n*n**29)\/n))\/(n*n\/n**(-5)*n)**(3\/19) assuming n is positive.\nAnswer: n**(-290\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 269.84 - 276. Let c = -164 + 163.54. Let o = f - c. Round o to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Let a = 7 - 6. Suppose b - a - 3 = 0. Solve h + z - 4 = 6*z, -j*z = -b*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(171) + 0 - sqrt(171).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-2160))\/((-1)\/(-3))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28742 is divided by 4790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 96, 190, 320, 492, 712?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Let p be (i\/3)\/((-10)\/6). Let g = 10.4 + -8.4. Which is the nearest to 0? (a) -0.5 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1146265274*w**2 - 1949107*w - 8?\nAnswer: -2292530548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2257 (b) -1\/4 (c) -2 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1593? (a) 0 (b) -14\/9 (c) -1 (d) 16 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p**3 + 93*p**2 - 101*p - 13. Let l(t) = 4*t**3 + 46*t**2 - 50*t - 6. Suppose 18*g + 152 = 386. Let d(x) = g*l(x) - 6*r(x). Factor d(o).\nAnswer: 4*o*(o - 1)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -27. Suppose -10 = 2*r - 34. Calculate the remainder when y is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/d**7)\/(d*d*d\/(d*d**(-2))*d*d*d**8)*(d*(d\/(d*d*d**6*d*d*d))\/d*d*d**(1\/6))\/((d**(-3\/4)*d*d)\/d**(1\/3)) assuming d is positive.\nAnswer: d**(-143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptt when three letters picked without replacement from {t: 3, p: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 5*i + 37. Let t be m(9). Which is bigger: t or -1\/17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 268 - 265. Suppose -4*t + 18 = b, 2*b - 27 = -0*b - 5*t. What is the lowest common multiple of y and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/24)\/(6*(-130)\/1248)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2790954*x - 3461948.\nAnswer: -2790954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53987.43277166 minus 0.2?\nAnswer: -53987.63277166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 12*k - 30. Let y be w(9). Let g be ((-5)\/(-60))\/((-1)\/y). Let v(j) = -2*j. Let d be v(0). Which is bigger: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5529\/(-5335) - (-7)\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -120337220?\nAnswer: 120337216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19383, -77520, -174407, -310038, -484407, -697508, -949335, -1239882?\n\"Answer: x**3 - 19381*x**2 - x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66.6, 325, 1.\nAnswer: -66.6, 1, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 551626609 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2620 divided by -1231.\nAnswer: 2620\/1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 2*v - 52. Let x be g(7). Let h be 4 - x\/110*0. Find m such that -2\/3*m**2 + 0*m - 2\/3*m**h - 4\/3*m**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + j - 3 = l, -2 = 2*j. Let p be (-9)\/l + (-1)\/(-2). Let m = -7 + 47. What is the highest common factor of m and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3542478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 594 - -267. Suppose -k - 721 = -2*b. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -147, -296, -443, -588, -731?\n\"Answer: y**2 - 152*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615631 is divided by 102583.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 0*b**2 - b**3 - 6*b**2 + 3*b**2.\nAnswer: -b**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -34*k**2 + 9*k - 8. Let o(a) = -7*a**2 + 2*a - 2. Let y(u) = 5*o(u) - z(u). Give y(8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/5, -32\/7, 2\/9, 1.2, -5\/3, 296.4?\nAnswer: 296.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -12, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (28\/2)\/(10 + -12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -29, -2\/9, -7 in ascending order.\nAnswer: -29, -7, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 6*w**2 - 3*w - 1. Suppose 5*h = 5*q - 15, -2*h - 1 = -3*q - 3*h. Let s(b) = 49*b**3 + 1. What is the remainder when s(q) is divided by d(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3408 = -4*h - 188. Is h a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 30 + 72. Let c = -8 - d. What are the prime factors of (-618)\/c - (-2)\/7?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3723867 years?\nAnswer: 0.03723867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3417 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r - 34. Let c be z(5). Let y(v) = 9*v + 2. Give y(c).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 39360?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 0*p**2 + p**3)*(12 + 14 - 114540*p + 114517*p).\nAnswer: -23*p**4 + 26*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4351190113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**2 + 2*y - 2*y - 4*y**2. Let j(l) = 2*l. Calculate c(j(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37795208, 75590412, 113385616, 151180820?\nAnswer: 188976024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 113.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/76 and 101\/96?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*b + 552806 - 553508 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7850*-3.\nAnswer: -23550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4873 take away -0.1?\nAnswer: -4872.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75445829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2\/2251, -5, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 931810736*-3.\nAnswer: -2795432208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 429.\nAnswer: -4\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 2*u**2 - u - 1. Suppose -4*z = -z - 30. Suppose 20 + 50 = 5*k. Suppose -4*v - 2*q = z, 4*v - k + 3 = 5*q. Give c(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12103*m - 12107*m + 17 = -c, -m = 3*c + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8 + 29018\/24. Let l(h) = 19*h**3 + h**2 - 3*h + 1. Let t be l(4). Let o = t - r. Calculate the common denominator of -77\/8 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1089472574576 + -3.8.\nAnswer: 1089472574572.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/4*(28\/16)\/(98\/112).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 507*l**2 + 2*l + 4. Let i be o(3). Let d be i + (-2 - -2 - -2). Let j = 50285\/11 - d. Calculate the common denominator of 61\/4 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150 + 3. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2. Let j(z) = 72*z**2 + 79*z**2 - 15*z**2 - 3*z**2 + 9*z**2. Determine w(j(k)).\nAnswer: -40328*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 15*f**2 - 14. Let j be -9*((-1)\/3)\/((-8)\/(-16)). Let i be z(j). Find the common denominator of ((-2)\/(-5))\/((-8)\/i) and -28\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-55))\/(-5)*15\/15.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4934441890.\nAnswer: 2, 5, 7, 61, 1155607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1965378, -1965408, -1965438, -1965468, -1965498?\n\"Answer: -30*y - 1965348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 322447370*n**3 - n**2 + n - 2129828.\nAnswer: 1934684220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -202208.67 + 208359. Let p = z - 6150.4799996. Let q = p + 0.15. Round q to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 3\/1*(-40)\/(-60). Suppose 0 = n - 5*m - 13 - 358, n - 3*m - 367 = t. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*n - 5793 = 0, -4*n + 14374 = 5*y - 59. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2866+719\nAnswer: 720.2866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -1.4\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/250 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-126)\/(-4) + 2\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48\/35 + 493\/385. What is the closest to 1 in 3, n, -4, -4\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49366411 is divided by 173?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91808579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 1 = 3*v, 0 = 5*v + i - 5 + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.9 + 10.6. Let d = r + 2. Let x = -4.7 - d. Round x to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1843976 and 33\/4?\nAnswer: 1843976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/52*4\/(-10)*-1*90?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 1243434?\nAnswer: -1243431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, -6, 0.04, 2\/13, -0.4, 1\/7 in decreasing order.\nAnswer: 1.8, 2\/13, 1\/7, 0.04, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**2 - 53*w + 24. Give n(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-60)\/50*260\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 1. Let s(q) = 5*q**2 + 2*q + 2. Let o(j) = -3*d(j) + s(j). Let m be o(1). Suppose 0 = -3*w - m*k + 66, w - 4 - 2 = 3*k. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzby when four letters picked without replacement from zbgbbabbgy.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11265, -22537, -33829, -45141, -56473?\n\"Answer: -10*h**2 - 11242*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**(-2\/27)*w)*((w**(-22)*w)\/w)\/w assuming w is positive.\nAnswer: w**(-646\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/3)\/2 - 7. Let n be -27 + v - (0 + -3). Round n to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*f)*(40*f - 4*f + 13*f).\nAnswer: 98*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 8*x + 10. Suppose 0 = -4*l + 8 + 32. Let s be y(l). Suppose 0 = r - 0*r - s. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 15)*(6*g**5 - 39 + 39).\nAnswer: -84*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1234900, -1234893, -1234886, -1234879, -1234872, -1234865?\n\"Answer: 7*c - 1234907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*x = x - 9, -4*x = 3*m - 6. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1252*v = -1262*v - 70 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2343\/10 - 234. Which is the second smallest value? (a) 1\/4 (b) 7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10 (b) 3 (c) 7.4 (d) 25\/6 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -175b6b?\nAnswer: -175b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.465039 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/119*(-10)\/(-130)*-91?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwn when three letters picked without replacement from {w: 3, m: 1, d: 2, n: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 82. Calculate the greatest common factor of 48 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300\/3600*(-108)\/(-3)*1*-3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**(-3\/16)*n**(21\/4) assuming n is positive.\nAnswer: n**(113\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(847)*-4.\nAnswer: 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 637, 1300, 1995, 2722, 3481?\nAnswer: 4272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2498, 4656, 6814, 8972?\n\"Answer: 2158*f + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cuddcudcuud.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1\/44, 0.\nAnswer: -9, -1\/44, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 90694208 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 396 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4630 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1786890 and 25795?\nAnswer: 19655790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((187\/51 + 3)\/(-4))\/((-150)\/(-3060)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 11) in base 7?\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 13\/(9 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47329459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o\/o**8)*o)\/o)\/o)**(-3\/7))**48 assuming o is positive.\nAnswer: o**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i + 11. Let c(k) = -5*k + 2 - 3 + k**2 - 9. Let x(o) = 6*c(o) + 5*m(o). Let t(z) = -7*z**2 + 6. What is 5*t(p) + 6*x(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by (-2)\/(-11) + (1386\/396 - 51\/(-22))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 12. Let x be w(4). Suppose i - 28 = -4*k + 3*i, 0 = 3*k - x*i - 16. Solve -5*m + k - 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-98))\/(53\/4081)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.622 rounded to one decimal place?\nAnswer: 20.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {q: 1, v: 19}?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 25)*(2*m - m + 4*m).\nAnswer: -135*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**2 + 160*f - 1052. Calculate a(12).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - i**2 - i - 5. Let u be g(3). Suppose -5*z + 42 = -0*z - 3*m, -4*z = -3*m - 33. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 - 299. Let t = 166.8 + m. What is the nearest to 2 in -1\/2, t, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2. Let i be (4\/2 - x) + -3. Which is greater: i or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (1 + -7)) + (8 - -16 - 100) - -5.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.2 - -20. What is the second biggest value in -1, -2\/13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -432*x - 1882. What is b(-4)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 112*u - 728. Let t be w(7). Calculate the greatest common factor of 385 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, 144, 427, 824, 1335, 1960, 2699?\n\"Answer: 57*r**2 - 2*r - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-h**5 + h**5 - 2*h**5) + 0*h**3 + 0*h**3 - h**5 - h**5 - 2 + 2 - 3*h**5 + 2*h**5 + 3*h**5 + 3*h - 3*h - h**5.\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -53. Calculate the remainder when c is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Suppose -18 = v - x*v. Let k(p) = 113*p - 1158. Let h be k(12). Calculate the highest common factor of v and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -2*l**5\/45 + l**4\/18 + 2*l**3\/27 - l**2\/9 + 1. Factor k(x).\nAnswer: -2*x*(x - 1)**2*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.5 + 7.145. Let k = -0.45 - c. Round k to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/3658 and -29\/496.\nAnswer: 29264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 1:48 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 97514917 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(847)*2*6 - (-3 + 0 + sqrt(847) + (2*sqrt(847) - sqrt(847))*-4))**2.\nAnswer: 2376*sqrt(7) + 617479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -18*m**2 + 2. Let x(l) = -133*l**2. Calculate x(w(r)).\nAnswer: -43092*r**4 + 9576*r**2 - 532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 16. Let g be q(11). Find the second derivative of s**g + s - 3*s - s wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdddwuhduhduuw. What is prob of sequence dt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27845100.\nAnswer: 2, 3, 5, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 v when three letters picked without replacement from zvvcsum?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3070 - 4\nAnswer: -3074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 17*a + 10. Let j be d(-20). Let u = 14 - j. Calculate the remainder when u is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + 4*j - 3*j)*(-9*j**2 - j**2 - 3*j**2) - 3*j**2 + 2*j**3 + 4*j**2 - 3*j**3 to q + l*j**2 + n*j + x*j**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s + 20. Let i(m) = 5*m**2. Determine i(u(v)).\nAnswer: 80*v**2 - 800*v + 2000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 3834594?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5. Let u = n + 3. Let g be ((-36)\/(-3))\/u + -2. Let k(b) = -6*b + 2. Let i(z) = z - 1. Determine g*k(a) + 4*i(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007452 rounded to 4 dps?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**5*j**2 + 1056*g**2*j**2 - 4*g*j**2 + 215*g*j wrt g?\nAnswer: -40*g**3*j**2 + 2112*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 y when four letters picked without replacement from {y: 4, v: 6, s: 2, x: 1}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 34 + 18)*(2*w**3 + 3*w**3 - 3*w**3) + 4*w**3 - w**3 - w**3 + (w + 2*w**2 - w)*(w + w - w) + 2*w**3 - w**3 - 2*w**3.\nAnswer: 81*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.4 + -5.4. What is the nearest to 0.3 in 5, -1\/7, x?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 827893.\nAnswer: -331157.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231408 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**4 - a**4 - 8*a**4)*(864 + 2342 - 2483 + 749 + 1111).\nAnswer: -10332*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 199\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -49373 (base 13) to base 4\nAnswer: -200313122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3983005 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7312\/(-5))\/(1\/((-55)\/22)). Let r be i\/59840 - 6\/102. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 7*d**2 - 34*d + 2. What is the smallest common multiple of 604 and g(-3)?\nAnswer: 4228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 21408148 - 21408046 for c.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 245095, 980435, 2206023, 3921859?\n\"Answer: 245124*w**2 - 32*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -73*s - 2. Let q be g(-2). Let h be (q\/(-15))\/4*-5. Calculate the greatest common factor of h and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2\/3 (b) -3 (c) 31\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -85, -158, -217, -256, -269?\n\"Answer: a**3 + a**2 - 83*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140872182 is divided by 425?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsc when three letters picked without replacement from rsrrrrrrrrxsscsc?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170152 + 170521. Calculate the remainder when f is divided by 1 + -2 + (32 - 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*s**3 + 56*s**2 - 4702*s wrt s?\nAnswer: -30*s + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10686910 - 10686910 + 56*w - 57*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 60 and 0.02.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 7*w**2 + 2*w - 9. Let j be g(7). Suppose j*d - 2*q = 51, 7*q - 21 = -d + 2*q. Suppose d = 2*t - t. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 2*b - 3. Let w be o(-2). Suppose 7*a - w*a + 10 = 0. Solve a = 3*g - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13111344 - 10?\nAnswer: 13111334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 512 = -49*p. Solve -4*m + 14 = h, -3*h + 5*h + p = 3*m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/16*-8 - (3 + -4). Let c be (-10)\/6*(-1 + -2). Suppose h*k = 4 + c. Solve 1 = -s + 2*m, s + 1 + 5 = -k*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**1*j))\/j*j*j**(-1\/5)*j**(3\/14)\/(j\/j**(-10)))**(-49))**42 assuming j is positive.\nAnswer: j**(123333\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2954, -24161, -81656, -193583, -378086, -653309, -1037396, -1548491?\nAnswer: -2204738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372577?\nAnswer: 23, 97, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, c: 2}. What is prob of picking 3 l?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3, 0 = g - 5*r - 9 - 3. What is the remainder when 40 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-5) - -3) + 36\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 0. Suppose 288 = -0*m + 18*m. What is the smallest common multiple of m and g?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35245 is divided by 608.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -686*q**5\/5 - 163*q**4\/6 + 5*q + 176. What is the third derivative of a(g) wrt g?\nAnswer: -16464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) + -2)*6)**2 + sqrt(343)*1 + -3)*5.\nAnswer: -5005*sqrt(7) + 62445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10961 is divided by 55?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:54 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9.5 (b) 3 (c) 7 (d) -40\/3 (e) -1\/5 (f) -2 (g) -5\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3406 (base 7) in base 2?\nAnswer: 10011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 501 + -499. Suppose 5*c + 75 - 11 = i*w, -2*w + 3*c = -64. Solve 6 = 29*y - w*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674, -662, -654, -650, -650, -654?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 45 - (-8 - 30 - (17 + -38))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39263 - -267672589?\nAnswer: 267633326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2787201396 to the power of 1\/2, to the nearest integer?\nAnswer: 52794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**7\/210 - 9*g**6\/40 - 59*g**5\/60 + 9*g**4\/8 + 29*g**3\/3 + 1180*g**2. Find r, given that d(r) = 0.\nAnswer: -2, -1, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 0 + (-76 - -76)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 837 and 13950?\nAnswer: 41850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 303150551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4635, -4636, -4637, -4638, -4639, -4640?\nAnswer: -4641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(108) + 1)**2 - (sqrt(147) + 2)**2*5.\nAnswer: -638 - 104*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 + -75. What is the second derivative of 486*m**3 - m**4 - 11*m**4 + 25*m - 486*m**r wrt m?\nAnswer: -144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c - 32. Let n be y(-10). Is 5 + 1*n + (369 - -5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148878 divided by 6\nAnswer: -24813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 1, -17, 4, 3, -3 in increasing order.\nAnswer: -29, -17, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1041102 + -1041?\nAnswer: -1042143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 9*w - 18*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -170, -306, -368, -356, -270, -110, 124?\n\"Answer: 37*c**2 - 247*c + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75756006?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14503 (base 6) to base 16.\nAnswer: -927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1389295793.\nAnswer: 251, 491, 11273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224551690 by -44910338.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -19. Let d(i) = i + 17. Let m be d(x). Sort -5, 0, -3, m.\nAnswer: -5, -3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 33\/5, 0.1, -12\/7?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + d + 63 + 290, 280 = 4*r - 2*d. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*h + 54 - 17, 2*h + 3*q = 53. What is the remainder when 508 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 7:49 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/(13416\/(-3440)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19147 is divided by 89.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/2845554 and 4\/39159.\nAnswer: 8536662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*t = 2172174 + 1773042. What is the smallest common multiple of 30 and t?\nAnswer: 154110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290 and 725696?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 4*y**5\/5 - 4*y**4 + 8*y**3 - 8*y**2 + 4*y - 16. Factor b(u).\nAnswer: 4*(u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 2) + (-17 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-25) + (-142)\/(-5). Let t = -5 + s. Solve 4*p = -4*z, 2*p - 4*p = -4*z + t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 248, 410, 572, 734, 896, 1058?\n\"Answer: 162*n + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122124434 (base 5) to base 2.\nAnswer: -10001110010111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 - -3.09. Which is the smallest value? (a) 1\/7 (b) 2\/11 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 32 + 0*y + 1\/120*y**6 - 2\/3*y**3 + 2*y**2 + 1\/60*y**5 - 1\/6*y**4. Factor x(a).\nAnswer: (a - 2)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 9 = 5*m, 0 = -20*g + 25*g - 3*m - 19 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 5*d + 2, 0 = -2*d - 2 - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + 30. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19467829\/173240 - 2\/21655. Is -113 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/3)*x\/x**(-1\/3)*x*x*x\/x**5*x*x**(-2\/3) assuming x is positive.\nAnswer: 1\/x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 169, 164?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*a**6 - 176989*a**5 - 3*a**2 + 5220*a - 20 wrt a?\nAnswer: -1560*a**3 - 10619340*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1128 and 59\/99924.\nAnswer: 9392856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2) - 28\/(-14). Let i = -3.3 + 17.3. Let f = i + -14.02. Is f at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 58.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -1427*f**6\/120 + 649*f**4\/24 + 2*f**2 - 271*f. What is the second derivative of o(i) wrt i?\nAnswer: -8562*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68028475 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4513\/14 or -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 781, 1556, 2329, 3100, 3869, 4636?\n\"Answer: -y**2 + 778*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 206593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4 + 1 - (-3)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 553 = 7*l - 2*l + 2*i, -3*i - 114 = -l. Calculate the remainder when l is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/2268 and 31\/36?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -a240?\nAnswer: -a246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23109 bigger than 23107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.105 - -2.105. Which is the third smallest value? (a) d (b) 5 (c) -41.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 930?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*a + 8 = 0, -5*x + 4*a - 105 + 87 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -91 + 259 - 110*z - 135. Is u(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197164560.\nAnswer: 2, 3, 5, 821519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1291774 is divided by 4749?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c - c)*(4*c**4 - 3*c**4 + c**4) + (1 - 3 - 2)*(0*c**2 + 0*c**2 - c**5).\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/73 (b) 14 (c) 0.0494\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 8*l + 20. Let v be x(-3). Solve 5*a + v - 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679 = -286*n + 361*n + 4271 for n.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16286860529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*((sqrt(1377) + -1 + -4*sqrt(1377) - sqrt(1377)) + sqrt(1377) + 3 + -2))**2.\nAnswer: 111537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - 15. Let l = 22 + b. Solve -l*n - 12 = -2*m - 4*n, 12 = 4*m + n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2443544 - 2?\nAnswer: -2443546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*g = 282*g - 63 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30910)\/(-330) + (-2926)\/114.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 17*i**4\/12 + 4*i**2 + 11*i. What is the derivative of y(f) wrt f?\nAnswer: 34*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114749*g**5 + g + 15557.\nAnswer: 2294980*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6435523 + 3.6441. Round s to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303830 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuoo when four letters picked without replacement from {o: 9, k: 4, u: 4}?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -152.72 (c) -2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8030704 and 112079.\nAnswer: 4873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**3 + 3*s**2 - 2*s - 8. Let u be p(-4). Let h be (2\/3)\/(u\/(-102) - 2). Solve -4*g = 5*i - i + 28, 0 = -5*i + g - h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 155 = -559. Suppose h + 4*h - 15 = 0, -2*h + d = 5*y. Calculate the remainder when 55 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*b - 5, 4*b + 3*s = 3 + 2. Suppose -b*t = -5*h - 20499980, 5*h + 18004914 + 2495090 = -t. Round h to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 + f**5 - f**5 + 5318*f**5 + 1071*f**5 + 3*f**4 - 3*f**4 + (-3*f + 3*f - f**2)*(-4*f**3 + 4*f**3 + f**3).\nAnswer: 6389*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u - 20*u + 14*n + 31 = 0, -22 = -4*u + 5*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746\/63*7*12\/(-48)*2?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 121\/(-11)*(-3)\/(-1). Let u = 34 + n. Let v be (-7)\/(-3) + (-5)\/15. Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2779 + -235.4779. Let s = 235 + a. Is s > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18225\/19575)\/(4\/58)?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 73*v + 723. Calculate the smallest common multiple of o(-7) and 6.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s - 105 = -25*s. Let z(w) = -2*w - 26. Let g be z(s). Let r be 2 + 2 - 2\/1. Solve 5*h + 1 + g = 3*j, r*h + 11 = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**9\/36 - l**6\/40 + l**5\/30 + 59*l**3\/3 + 3*l**2 - 3. Find the third derivative of x(i) wrt i.\nAnswer: 1680*i**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-10)*448\/(-70).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5092, -4720, -4118, -3280, -2200, -872, 710, 2552?\n\"Answer: h**3 + 109*h**2 + 38*h - 5240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5933993.\nAnswer: 13, 456461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (2 + 0 + sqrt(288) - sqrt(288)) + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11*o**2 - 5030*o - 1361. Give z(-457).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 7*x**2 - 5*x - 45. Calculate b(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 23*n**5\/20 - 19*n**3\/2 + 16*n - 20. Let a(c) be the first derivative of l(c). Find the second derivative of a(t) wrt t.\nAnswer: 138*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 19*g**2 - 148*g - 1319. Give u(-8).\nAnswer: 1081","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/(-6))\/(20\/16). Let f(m) = 2*m**2 + 8*m + 15. Let g be f(r). Solve -2*b + 5*h + 6 = 0, -4*h + 2 = 2*b - g*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 11*u**2 + 6*u + 6. Suppose -173 = -13*b - 43. Let q be x(b). Which is smaller: -33 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 8. Suppose 0 = d*a, t = -2*t - 4*a + 15. Let k(o) = o. Let w be k(2). Solve 0 = -t*i + w*i - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(2 + 1) + 4. Let c be ((-8)\/24)\/(z\/(-18)). Is 8 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11061119?\nAnswer: 11061119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2613 - 2612.99998506. Round o to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 10 = 2. Let b = 9 + a. What is the least common multiple of (b - 0)\/(-2) - -13 and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 154\/35 - 4\/10. Let g be 69 + (-7)\/((-14)\/i). Suppose 5*p - m = -2*m + 189, 2*p = -5*m + g. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 10 + 9)*(-3*g**3 - 3*g**3 + 3*g**3)*(g**2 - 2*g**2 - g**2)*(-1 - 8 - 4) + 3*g**5 - 5*g**5 + 7*g**5.\nAnswer: -853*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258362.\nAnswer: 2, 3, 7, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 1. Let n(m) be the first derivative of m**2\/2 - 35. What is f(n(p))?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3) - 11\/(-121)*0\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 44) + (-2 + 9 + -4 - (0 - 2))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37825\/25214 + -2\/12607. Let o = -15 - -19. Factor -5\/6*g - 2\/3*g**3 + 1\/3 + 8\/3*g**o + b*g**5 - 3*g**2.\nAnswer: (g - 1)*(g + 1)**3*(9*g - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/126 and 15 - (-17)\/((-32368)\/29424).\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/217, -0.19, 65\/4, -1.8?\nAnswer: -3\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -3, 1648, 78 in descending order.\nAnswer: 1648, 78, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2919227*b**3 - 3384*b**2 - 204*b + 3 wrt b?\nAnswer: -17515362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455*t**2 - 70*t**2 - 864*t**2 + 1 + 2*t.\nAnswer: -1389*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 13*s - 15*s. Let c be (-17)\/(-51)*(-60)\/s. Let g = c - 15. What is the highest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/(-6)*1377\/2601?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12402 - -11?\nAnswer: -12351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6362466 and 102377862.\nAnswer: 1126156482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - -136. Calculate the greatest common divisor of 120 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9045115, -18090230, -27135343, -36180454, -45225563, -54270670?\n\"Answer: s**2 - 9045118*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + i + 1. Let x be h(-2). Let d be 0\/(96\/(-8))*(-2)\/(-4). Suppose d = 4*c + x*s - 25, 0*s - 11 = -2*c - s. Solve c*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 1, 2, 68.\nAnswer: 1, 2, 32, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 2904?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-9 + 10)*(12 + -680795) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9726.012 kilometers in meters?\nAnswer: 9726012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -9. Let f be 2*((-38)\/4 - 1). Let v = f - -30. Solve v = -3*l, 0*l = 4*x + l - h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2. Let v(a) = -902*a**2 - 22. Let r(f) = 129*f**2 + 3. Let l(o) = 22*r(o) + 3*v(o). What is l(i(h))?\nAnswer: 528*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**3 - 2*u**2 + 5*u + 11. What is the tens digit of a(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7414*v - 97053 + 678471 = -236*v for v.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 + -95. Suppose -4*g + n*g = -80. Suppose -5*d - 4*x = -g, d - 5*x = -3*x - 10. Solve 0*z + z = d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13924*a**4 - 21948*a**3 - 12768*a**2 + 23104*a.\nAnswer: 4*a*(a + 1)*(59*a - 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1725517 nanograms to grams.\nAnswer: 0.0000000001725517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -5.4. Let q = i + 1.39937. Round q to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2096 - 318?\nAnswer: -2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001250828 rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y = -50*y + 36580. List the prime factors of y.\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22836285.\nAnswer: 3, 5, 509, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 142444302 (base 7) to base 11\nAnswer: 5321878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/5, 1, -2\/169?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**6\/300 - u**5\/50 - u**4\/15 + 4*u**3\/5 - 28*u**2. Factor l(c).\nAnswer: 2*(c - 3)*(c - 2)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1683 is divided by 558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + 8)\/((-4)\/(-32))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j*j)\/j**(-3)*j**(-1\/10)*j*j**(5\/6)*((j**(-1)\/j)**23)**4 assuming j is positive.\nAnswer: j**(-2674\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -720, -1437, -2154, -2871?\n\"Answer: -717*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5}. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 284247 - 114245. Suppose 4*u = -5*l + 3*l - 68008, -5*l - u = f. What is l rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445226181?\nAnswer: 3, 4201, 35327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0056889 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1138 divide 77860822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71518250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 12546 - 20988 = 0. Let i = -1012 + l. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-5)\/(5\/2). Suppose -q*m = -9*m + 3. Solve 2*d + 8 = -0*d - 3*x, d = m*x - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*y + 995 + 27. What is the remainder when y is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -975.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 0 - (-3 + -1 + sqrt(17) + sqrt(17)))**2 + ((1*sqrt(170) + sqrt(170))*5)\/sqrt(10).\nAnswer: 33 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 14*h**2 - 2*h + 14.\nAnswer: 2*(h - 7)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*m - m + 28, 4*t = 5*m + 97. What is the closest to t in -0.4, -3, -3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 259 - 135. Let u be r\/(-34) + 5 + -1. Factor 8\/17 - 2\/17*c**2 + u*c.\nAnswer: -2*(c - 4)*(c + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-1))\/(-4 + 5). Let w = 7 + -3. Calculate the greatest common divisor of w and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 - -0.76. Let x = y - 6.1. Round x to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260 - 1295*c - 3236*c - 26332*c - 260.\nAnswer: -30863*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -473253 divided by 4?\nAnswer: -473253\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 0 - 4*b**4 - 76\/9*b**2 + 28\/3*b**3 + 8\/3*b + 4\/9*b**5 = 0?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -253*m. Let d(o) = 86*o. Calculate d(s(y)).\nAnswer: -21758*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 3\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i\/(i\/(i*i**(-38)))))\/i)**(-29)*i**39*(i\/(((i\/i**(-42))\/i)\/i))\/i assuming i is positive.\nAnswer: i**(-1017)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -15 + 39. What is the units digit of y\/(-8) + (-342)\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/77 and 17\/1393?\nAnswer: 15323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5\/11, 5, 0.5?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 50*b**2 - 2*b. Let w(k) = -k**2 - k. Let z(o) = -3*o**2 - 2*o. Let f(m) = -2*w(m) + z(m). What is l(f(j))?\nAnswer: 50*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/432976714 and -115\/14?\nAnswer: 3030836998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 11. Let c = 2\/39 + 11\/39. What is the nearest to c in 1\/3, w, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21408.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**4 + 3*m**4 - m**4)*(-17 + 10 - 13) as d*m**2 + f + y*m**4 + k*m + i*m**3 and give y.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = n - 3*n. Suppose 12*d + 160 = n*d. What is the tens digit of d - (-4 + 3 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47787000 to the nearest one hundred thousand.\nAnswer: 47800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(1728) - sqrt(12))*-2.\nAnswer: -2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14336 divided by 2\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/4)\/(18\/(-63)*350\/(-200))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4558 = -r, 4*q - r - 4598 = 1491. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 168*q + 6034 = -169*q, 3617 = 3*y - 4*q. What is the remainder when y is divided by 400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 829*l**3 + 16*l**2 + 24*l + 197378553?\nAnswer: 2487*l**2 + 32*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.044841 meters?\nAnswer: 8044841000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*o + 5*o. Let d be 2 - -6 - 8\/(1 + 1). Let h(y) = -5*y**3 + 4*y**2 + d*y + 4 - 7 + 7*y**3 - 3*y**3. What is h(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = -h, 5*a - 5*h - 25 = 0. Let o(x) = -308*x - 2. Let n be o(a). What is n rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from pppmppyypppppmp?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(0*f**2 - f**2 - f**2) - 2 + 2 - 3*f**2 - 13*f**2 - 45*f + 45*f + (-2*f + 0*f + 4*f)*(0*f - f + 3*f) + f**2 + 4*f**2 - 4*f**2 - 3 + 3 + f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 10:47 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y = -333. Suppose -z + 1 = -1. What is the units digit of y\/(-12) - z\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/3819 and 16\/8911?\nAnswer: 26733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3403 is divided by 1115?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 10. Let z be h(5). Suppose -12 = -4*t - z*t. Suppose -4*u + 16 = 4*o, 2*u + 1 = -5*o + 4*u. What is the remainder when t is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/79 in 3545, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19 + 34e?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 42950000 to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**3\/3 + y**2\/2 + 4*y. Let d be g(-2). Solve -n - 1 + 2 = -w, -5*w - d = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 9. Let p be y(-4). What is the third derivative of 3*h**5 - 3*h - 3*h**2 + p*h - h**5 wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 1, t: 2, j: 1}. Give prob of sequence sjr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-99810)\/2850 + 35)*-38. Let i = 0.3 - -0.7. Let j = -3 + i. Which is the fourth smallest value? (a) 5 (b) n (c) j (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190 - -220. Suppose -x = 8*m - 12*m - 61, 4*m = 20. Calculate the remainder when x is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, 4, 1, 9, 0.3 in ascending order.\nAnswer: -277, 0.3, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 11402664?\nAnswer: 11402664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 - -78. Let q be (4\/1)\/(5\/r). Let j = -26 - q. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-5\/2)\/m*m*m)**(-28)\/(((m*(m*m*m\/(m**(18\/5)\/m))\/m)\/m)\/((((m\/(m**(-21)\/m))\/m)\/m)\/m)) assuming m is positive.\nAnswer: m**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2, -1\/10, -12.61?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, r: 6, y: 5, o: 2, g: 1}. What is prob of sequence yo?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 850342 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -10) + -6 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l + 1136*l = 9973 - 18494 - 31846 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 53*a**2 - 46*a - 236. What is r(52)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33160997 a multiple of 4923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1848 and -83\/174836?\nAnswer: 80774232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -72770301 and -0.2.\nAnswer: -72770301.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 179, 188, 195, 200, 203?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*x + 52*x + 8280 = -50*x. Calculate the smallest common multiple of x and 50.\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, e: 4, o: 7, q: 2, u: 2}. What is prob of picking 1 e, 1 u, and 2 d?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/42 and -39\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i - 8*i**2 + 242 + 241 - 473 + i**3 + 23*i. Calculate t(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 4. Let m(n) = 15*n + 27. Let t(u) = -4*m(u) - 27*r(u). Let f(x) be the second derivative of 11*x**3\/6 + 239*x. What is f(t(d))?\nAnswer: -66*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 332588 by -1.\nAnswer: -332588","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 + 94.9. Let x = w + 0.1. Let l = -33 - -229\/7. Which is the closest to l? (a) x (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*d + (-4 + 3 + 7)*(3*d - d - 4*d) - 2*d + 0*d + 6*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 + 54*p**2 - 110*p + 3247. Determine f(-30).\nAnswer: 1147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1436083631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*r - 4*m - 896, -1120 = -5*r - 2*m. Calculate the highest common factor of r and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.02 and 9922936504.\nAnswer: 9922936504.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 2) + -5 + 2 + -10. Let n(j) = 7*j**2 + 19*j - 2. Let d(b) = 4*b**2 + 10*b - 1. Calculate v*d(i) + 6*n(i).\nAnswer: -2*i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/20 and -101\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 57 = -54, -j + 2*d - 11 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 2. Let u be (-831)\/(-6) - 3\/g. Let j be (u\/4)\/(4 - 1). Is j >= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 3*b - 14*b - 21*b + b.\nAnswer: -34*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - r + 29 = 3*a, -3*a + 2*r = -26. Suppose -2*z + w - a = -32, -4*w = 2*z. Calculate the remainder when 14 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*v + 29, -13*n + 16*n - 31 = -2*v. Solve 27 = -5*l + n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8177\/629)\/((-15)\/9)?\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*v + 39. Let o be (-7 - -9)\/((-4)\/v). Let u be 4\/6 - (-1479)\/o. What is the highest common factor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 211829.55 months?\nAnswer: 1765.24625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452982618?\nAnswer: 2, 3, 11, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154862 (base 9) to base 15.\nAnswer: -1d44e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.25 + -0.15. What is the closest to k in 2, 2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/2329, 0.70725, -4\/5.\nAnswer: -4\/5, -2\/2329, 0.70725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hjjhjhhhhhhhhjhjhhh?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*r + 4 = 0, 3*r - 805 = 2*s - 798 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51355 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let i(o) be the third derivative of 0*o + 0*o**3 + 0 + o**2 + 1\/30*o**5 + 0*o**4. What is i(h(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 11116 and 11054 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*k + 14*k - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -65\/23787?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1 - 34*t**3 + 7*t + 33*t**3 - 5 - 11*t**2. Let v be d(-11). Let s = v - -129. Calculate the greatest common divisor of s and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 49*g - 45 + 86. Which is the nearest to g? (a) 737 (b) -0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**9\/504 - z**5\/30 - 2*z**3\/3 - 11*z**2. Let p(f) be the first derivative of v(f). Find the second derivative of p(t) wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 21*h**2 + 3*h**2. Let k(o) be the second derivative of -o**4\/6 - 10172*o. Calculate k(y(l)).\nAnswer: -512*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -22*v**2 + 7*v + 5. Let l be u(-2). Let a = 282 + l. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -8 + 0*k + 15\/2*k**2. Let l(u) = -2*u. Calculate q(l(a)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -12. Suppose 38 - 522 = 4*b. Let x = 186 + b. What is the remainder when x is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.1 - -14. Sort j, 0.4, 0.3 in ascending order.\nAnswer: j, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1507*-3728.\nAnswer: -5618096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 54\/(-30)*40\/(-12). Solve -2 = t*j - 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 1954631*x - 2*x**2 - 651549*x - x**2 - 651545*x - 651537*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 218 + 178 = 0. What is the highest common factor of 12 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30863\/30 - -1028. Let t = 4\/15 + z. Let j be -1 + -3 + 1\/(-1). What is the second biggest value in j, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**(1\/6))\/i)*i**(1\/6))\/(i**11*i**5\/i*i) assuming i is positive.\nAnswer: i**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-60) + 13\/(-15) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 8) to base 2\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 535916.3 kilometers?\nAnswer: 53591630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31641 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: b\"What is the nth term of -60, -237, -532, -945, -1476, -2125?\n\"Answer: -59*n**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -0.02256900467.\nAnswer: -4.02256900467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 598289772*m**4 - 25*m**2 + 5410*m + 3?\nAnswer: 14358954528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 529692763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.971 (b) -20 (c) -36 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1420918, 12, 4 in ascending order.\nAnswer: 4, 12, 1420918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g - 13. Let v(t) = 11*t + 21. Let x(s) = 8*j(s) + 5*v(s). Let w = 11 + -7. Let b = w + -2. Determine x(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 36. Find the common denominator of 0 - -3 - (g + 29\/(-15)) and 1965\/(-1530) - 6\/(-51).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1738566*c**5 - 11*c + 50869 wrt c?\nAnswer: -34771320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + -11*(-9506 + -2 - 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2462663170 to the power of 1\/3, to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (-8)\/12)*3. Suppose 0 = 4*w + l - 5 - g, w + 2 = 4*l. Solve w*b + 15 = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25590 is divided by 366.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-261))\/((-2)\/39) and 71\/87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -253596, -2, -7\/5 in ascending order.\nAnswer: -253596, -2, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 455 + -450. Let j = 97 + 28. Suppose 0 = t*c - 5720 - j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 - 17*j**2\/3 + 3*j.\nAnswer: -j*(j + 9)*(2*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 4. Let s be n(-7). What is the first derivative of 22 - 468*q**s + 465*q**3 - 3*q**2 + 3*q**2 wrt q?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2)*(-2*w**2 + 5*w**2 - 5*w**2).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -10*g - 1. Let p be x(-1). Suppose 2*n = p + 9. Find the common denominator of 133\/18 and n*(33\/(-20) - -1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-31797*s**5 - 85*s**4 - 103*s**4 + 31794*s**5).\nAnswer: 6*s**5 + 376*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/11858 and 41\/2595208.\nAnswer: 18166456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31550004 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, -0.3, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**6)**33 assuming c is positive.\nAnswer: c**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1143*7 + (1 - 0). What is q rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368563745 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -63*v + 5580. Calculate the greatest common factor of v and 1530.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5404*s**4 - 10087 wrt s.\nAnswer: -21616*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 648 and 132?\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-4)\/(-30))\/((-2)\/(-1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c + 26. Let u be q(7). What is the third derivative of -15*j**2 + 7*j**2 - u*j**4 + 81*j**4 + j**3 wrt j?\nAnswer: 144*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870.5439 nanograms to grams.\nAnswer: 0.0000008705439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295 and 19885585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4 - 4 - 5*z. Let d(k) be the second derivative of k**4\/6 + 3*k + 170. Determine w(d(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4209477294 to the power of 1\/3, to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 489196788 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 26?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.01.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 485*r**3 - 11*r**2 + 6 + 15*r + 7 + 7 - 17. Is m(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2497, -2499, -2501?\n\"Answer: -2*y - 2495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-4 + 1)\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8013087*s**3 + 8836130*s wrt s.\nAnswer: -48078522*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 15*x - 5. Let k be g(7). Suppose 3*n - k = n. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -16. Suppose 2*l - 17 - 5 = h. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-424)\/275 + (-4)\/((-8)\/3) and 3*(-3 - (-464)\/108).\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-32))\/((r*r*r**(-3)*r*r*r)\/r))\/(r*r*r**(3\/16)*r*r**21))**28 assuming r is positive.\nAnswer: r**(875\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 592*(-8)\/128 + -67?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 1 + 14 + 14)*(-15*g - 25*g - 4*g) as f + w*g and give w.\nAnswer: -1716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, a: 6, w: 10}. What is prob of picking 3 w and 1 z?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4411*f**2. Let q(a) = -2514275*a**2. Calculate 2282*k(l) - 4*q(l).\nAnswer: -8802*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3699436*a**6 + a**2 + 79514*a + 3.\nAnswer: 443932320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1\/121, -1, -1\/5?\nAnswer: -1\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35033866 is divided by 467.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48843 and 4050?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*f - 2*b, -5*b + 46 = 3*f + 6. What is the third derivative of 2*s**4 + 5*s**2 + 14*s**2 + f*s**2 + 11*s**3 + 0*s**3 wrt s?\nAnswer: 48*s + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -2, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7539502082\/45 - -502403818\/3. Let h = v + 76564. Let j = 110\/9 - h. Put -5\/2, -5\/23, j in decreasing order.\nAnswer: -5\/23, j, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692874769?\nAnswer: 31, 22350799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*s**2 - 2 + 291*s**2 + 33*s + 2 - 96*s**2.\nAnswer: -4*s**2 + 33*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88864 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: Suppose -19442 = -10*r - 4092. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (31 + -2 - 5)*(-10)\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 88149.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -30528741 divided by 10176247\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**4\/4 - z**3\/3 + 2*z**2. Is 8 a factor of a(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from esmeevmvesees?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 4. Let h(z) = 2*z - 7. What is -5*f(a) + 2*h(a)?\nAnswer: -a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**3 + 17 - 4*i**2 - 17.\nAnswer: 6*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(-3\/17)*s)\/s))\/s**(-3\/22))\/(s\/s**(-2\/97)*(s*((s\/(s\/s**(-26)*s))\/s)\/s*s)\/s) assuming s is positive.\nAnswer: s**(1026385\/36278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h - 66. Let r(p) = -p - 13. Let v(t) = -14*r(t) + 3*z(t). Calculate the lowest common multiple of 10 and v(-8).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2 - 2*573\/(-6). Let r = -133 + c. List the prime factors of r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -13*u**6\/6 - 6*u**5\/5 + u**2 + 50*u + 407. What is the second derivative of v(s) wrt s?\nAnswer: -260*s**3 - 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3555 = -993*a + 14037 + 32058 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*k**3 + 30*k**3 + 39*k**3 + 34*k**3 - 138*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -126235351 (base 7) to base 9\nAnswer: -16317077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9082, 17677, 25736, 33259, 40246, 46697?\nAnswer: 52612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - x = -5, 31*z = 26*z + 37*x + 135 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by -467.\nAnswer: 88\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -57165 and -57154 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + 2 + 91*t**3.\nAnswer: 91*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y. Let f(v) = -21*v - 15. Determine f(i(x)).\nAnswer: -168*x - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t = 120*t + 789 + 1111 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**8\/336 + o**4\/24 - 2*o**2. Find the second derivative of p(a) wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145622062 to the nearest integer?\nAnswer: 12067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-106)\/(-13) + (-4)\/26. Let v be 375\/60 + (-2)\/t. Let u be (-15)\/(-12) + (-1 - v\/(-8)). Solve u = 5*h - 19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 - 5*m**2 - 3*m + 7. Let q be s(2). Solve -q*w = -5*d + 50, -7*d - w = -2*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14\/3*x**2 + 22\/15*x + 10\/3*x**3 + 2\/15 = 0. What is x?\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -562.8 - -561.4. What is the nearest to 1 in 3, t, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 6*o**2 - 2*o - 4. Let j be t(4). Calculate the greatest common divisor of 30 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60643 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m + 52 - 11*m - 52.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 79563334 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30336.233 + 29872. Let s = j + 464. What is s rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/(-5))\/(-6)*27. Let u = o - -125. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4\/5 - 664*c**3\/5 - 26196*c**2\/5 + 22576*c - 23120.\nAnswer: -4*(c - 2)**2*(c + 85)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -19. Let j be (54\/(-24))\/((-3)\/v). Let m = -4 - j. What is the lowest common multiple of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*w - 7*w. Suppose -58 = -w*k + 74. Solve k*i = 6*i - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.1469482 hours?\nAnswer: 529013520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(288) + 2*sqrt(288) + sqrt(288)) - (sqrt(363) - 2*sqrt(363)*-3)**2.\nAnswer: -17787 + sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwbiwwywbwywyfwwwfw. Give prob of picking 1 y and 1 b.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 354212?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -868 (c) 57 (d) -0.05 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 77?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**4*p - 2*c**2 - 157*c*p + 114*p with respect to c.\nAnswer: -8*c**3*p - 4*c - 157*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -641\/8 - -19805\/248. Find the common denominator of -5 - -4 - (-18)\/(-32) and o.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 5*r**2\/2 + 59. Let j(q) = -3*q**2 + 0*q**2 + 4*q**2. Calculate u(j(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/37? (a) -46 (b) 11 (c) -0.3 (d) 0.4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32818640 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/14 + 16\/7. Suppose 2*c = -1 + 7, -2*c = 2*f - 42. Let m = f - g. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bdf (base 16) in base 4?\nAnswer: -233133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3703*j*t**2 - 1130*t**2 wrt j?\nAnswer: 3703*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 7*z - 5*z. Let h be (-7 - z)*(-28)\/56. Let t(s) = 2*s**2 - s + 2. Let i be t(-2). Solve -n + 0 = 2*j + 4, -j - i = h*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.65 - -14. Let y = s + 0.05. Sort y, 1, -2\/3 in descending order.\nAnswer: 1, y, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/5 - 222*i**2\/5 + 453*i\/5 - 228\/5.\nAnswer: -3*(i - 1)**2*(i + 76)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 22*t**2 - 52*t**2 + 3 + 4*t**3 - 14*t**2.\nAnswer: 4*t**3 - 44*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f = -19*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.01 + 0.01. Let z be ((-14)\/35)\/((-6)\/(-5)). What is the nearest to z in -5, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lia when three letters picked without replacement from {a: 1, l: 12, i: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 199154 and 3186443\/16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -9da?\nAnswer: -9d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/21 - 0 - -3)\/1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3334556671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1000110011110011011?\nAnswer: -1000110011110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00233655 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 - 2*q**2 - 4*q - 2. Let b be i(-2). Let o = b - -172\/5. Let y be 34\/6 + 1 - 6. Sort 0.3, o, y in increasing order.\nAnswer: 0.3, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*x - 107 = 0, 3*g - 6*g + 102 = -3*x. What is the closest to 0 in -4\/3, g, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 10*h - h. Which is the second smallest value? (a) h (b) 10\/3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 0 + 5*u**2 + 5\/6*u**3 - 14*u. Let y be t(-2). Solve g = -y*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1104 = 2*i + 566, 0 = 5*x + 5*i - 1705. Let q = -1423\/4 + x. Find the common denominator of q and -25\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 - -194. Calculate the remainder when 107 is divided by k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 582 or 200118\/7?\nAnswer: 200118\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14415 (base 7) to base 11.\nAnswer: -2a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/21 - ((2 - 10) + (-101)\/(-7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**3 - r - 1. Let h be f(-1). Suppose -3*z - 16*s + 10 = -12*s, 2*z - 4*s = 0. Which is the second smallest value? (a) 0.5 (b) 3 (c) h (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/10 - 2\/5. Let n = 35 + 23. Let g = n + -176\/3. Which is the nearest to -2? (a) f (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**3 - 6*c**2 + 2. Let s(i) be the first derivative of -i**4 + 5*i**3\/3 - i - 2. Let p(f) = 5*a(f) + 6*s(f). Differentiate p(y) wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5411.\nAnswer: 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30339.8 years in centuries?\nAnswer: 303.398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 8\/7 + 2\/7*z**3 + 4\/7*z**2 - 2*z = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59890247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7264, -289, 3 in descending order.\nAnswer: 7264, 3, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 11*x = -20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*s - 5*s - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.36 - 1.06. What is the third biggest value in -6, p, -1\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m + 2*m - m to the form y + i*m and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 1:28 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3551 + ((-196)\/(-112))\/(3\/(-12)))*1. Is x at least 3541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22362679 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j + 35. Let u be f(8). Let w = -1.94 + -0.06. Put u, w, -0.3 in descending order.\nAnswer: u, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 34906 + 11065. What are the prime factors of u?\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f - 199 + 159 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11099504*b - 1013382?\nAnswer: 11099504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 616 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.8169456km?\nAnswer: 816945600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7821236, 15642469, 23463702, 31284935, 39106168, 46927401?\n\"Answer: 7821233*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**4 + 0*f**4 - 7*f**3 - 2*f**4 + 120*f**2 + 63*f**3 - 68*f**2.\nAnswer: 4*f**2*(f + 1)*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5706, -11422, -17148, -22890, -28654?\nAnswer: -34446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -12\/3541?\nAnswer: -12\/3541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.9 - -5978745.\nAnswer: 5978737.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/35 + -2\/7. Which is the nearest to -2? (a) x (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 2*n**2 - n + 21. Let q be l(0). Suppose -6 = -3*o + q. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520564 smaller than 518630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*r - 101*r**3 - 2 - 34*r + 56*r to the form x*r + u*r**2 + p + a*r**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, x: 9}. Give prob of sequence ix.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9*(-167 + 127 + -59).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (-6 - 2 - (378 + -524))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.2973937 millennia?\nAnswer: 2.973937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 423\/(-564)*(-40)\/2. Let w(u) = 3*u - 2. Let o be w(-4). Let b = o + a. Solve b = -2*j + 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-11 - -11) + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20615 is divided by 375?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(1\/(-64*(-4)\/48)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/5 - -3\/5. What is the third smallest value in 5, -1, v, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2117*h**4 - 7*h**3 - 27018 wrt h?\nAnswer: 8468*h**3 - 21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 4*d**3\/3 - d - 3. Is n(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 8*l + (-l + 5*l - 3*l)*(1 - 5 + 1) + 3 - 3 - l to m*l + q and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 160562 to the power of 1\/2, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*w - 5*f, 2*w = -0*w + 4*f - 18. Suppose -166*h + 52 = -213*h - 136. Sort -0.1, 0.7, h, w in ascending order.\nAnswer: w, h, -0.1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 8:14 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46635\/(-33) - (-2)\/11. Let t be (-27)\/(-12)*9368\/6. Let s = t + u. Round s to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 60 + 241. Suppose 0 = -2*z + 2*k + a + 49, 156 = 4*z + 3*k. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5503521219 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653 = 4*f - k, -5*k + 137 = 58*f - 57*f. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -613 + 614. Sort 7, z, 23 in descending order.\nAnswer: 23, 7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 7*o - 16. Suppose -5*b - o = -2*z, z - 3*b - 20 = -4*z. Solve -2*f + 7 = -r, -r = -z*f + 2 + 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2698 and 133186.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*w - 36*w + 12*w)*(748 - 748 + 73*w) in the form u*w**2 + n*w + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 96 - 10 - 12 + 5*c - 3*c. Let s(u) = -u**2 + 6*u + 7. Let a be s(7). What are the prime factors of w(a)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -274 - -338. Suppose 0 = l - r - c, 3*r + 216 + 40 = 4*l. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1192, -2373, -3534, -4669, -5772, -6837, -7858, -8829?\n\"Answer: t**3 + 4*t**2 - 1200*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194710154?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 2*n**2 - 6*n + 4. Let x be 1 - -5 - (-3 + 4). What is the hundreds digit of i(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 41. Let p be (-112)\/m - 3\/9. Which is the third smallest value? (a) 0.5 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1738295?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13956 and 1944.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -11. Suppose o*t = -4*d + 1203 + 1442, 4*t - 3*d = 2085. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -4 (c) 2\/9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2) - (-3 + 2) - -4. Suppose 2*y - o*y = -14. Let u(i) = -i**2 + 7*i + 3. Give u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3 - 105521*l**2 - 38461*l + 2?\nAnswer: 6*l - 211042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00068877 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 502 * 772551\nAnswer: 387820602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:12 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klhskkthtttt. What is prob of picking 3 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9*(-231)\/(-7))\/(-1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 65, 89, 113, 137, 161?\n\"Answer: 24*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(1*(-1)\/52). Suppose 3*y = 7*y - r. Suppose 0 = -3*s + 11 + y. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 22. What is the least common multiple of 2 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**4 + 140*j**2 + 390*j.\nAnswer: 24*j**2 + 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295576, 591159, 886744, 1182331, 1477920, 1773511, 2069104?\nAnswer: 2364699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssssgsss. Give prob of picking 1 g and 2 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/1*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 85620 divided by 4\nAnswer: 21405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -5.22559?\nAnswer: -0.1045118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*a + 28 = -a, 22 = 3*d - 5*a. Suppose 4*n = -4*c + 4, -2*n + n - 2*c - 3 = 0. Solve 2*z - u = -3, -5 = n*z + 2*u - d*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47228 is divided by 397.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 139188*o**2 + 2*o - 1. Let y be l(-2). Let w = -2956747 + y. What is w rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -1\/7, 1, 23 in ascending order.\nAnswer: -2\/3, -1\/7, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 19. Let q = -7 - k. Let m = q + -23.011. Round m to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*b**5*t + 10*b**4*t - 1726*b**2*t wrt b?\nAnswer: -1740*b**2*t + 240*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + r)*(-1 - 3 + 2) - 2*r - 3 + 3 - r + r + r - 2*r - 6*r + 6*r - 4*r + 2*r - r + (-16 + 16 + r)*(-2 - 2 + 3) to the form d*r + n and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1807 - 1193. Let b = u - 611. Solve 0 = b*d - 15, d + 17 = 2*a + 4*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = 4*m, a - 4*m = 23. What is the highest common divisor of a and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73628*p + 147240*p - 73637*p.\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*f = -2. Let t be (f + 2 + -2)*18. Let n be ((-3)\/4)\/(t\/4). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -8217?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*((sqrt(833) - (0 + sqrt(833) + 3)) + sqrt(833)*2 + -4 + (sqrt(833)*2 + 2 - sqrt(833) - (sqrt(833) + sqrt(833) + 1 + 4))))**2.\nAnswer: -3360*sqrt(17) + 23129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 731 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829489 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8446 divided by -240?\nAnswer: -4223\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 12:05 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/140 - 24\/(-45))*0. Solve 89*l = x + 90*l, -2*x - l - 1 = g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -297125 and 4574.\nAnswer: -292551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*s + 14 = -13, -s = 5*u - 57. Suppose l = 2*l - u. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 146 + -111782801.543.\nAnswer: -111782655.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2, 3, -214364 in descending order.\nAnswer: 15, 3, -2, -214364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2835537737 to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1a2478 (base 16) to base 12\nAnswer: 6a7588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Sort v, 1, 3 in decreasing order.\nAnswer: 3, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-312)*((-7)\/(-7))\/(-1).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 58. Find the third derivative of -14*o**3 - o**2 + 5*o**3 - 4*o**3 + 10*o**t wrt o.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i**2 + 61*i + 18. Give m(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74589*s**2 + 3*s - 12961.\nAnswer: 149178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3399315407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 1502470.\nAnswer: 18029640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2418 and -167\/5460.\nAnswer: 169260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 128. Let h = q + -301. Find the common denominator of 4\/(-2)*(-603)\/h and -111\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 21.6 (b) -2\/7 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7045 + 9863. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(-176)\/66*210\/1960.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234945 (base 11) in base 15?\nAnswer: 5252a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i**2. Let r(y) = -1166*y**2. Calculate p(r(j)).\nAnswer: -13595560*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -780, -1511?\nAnswer: -2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1350\/180*(-4)\/18?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 7. Determine g(-15).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 7:06 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 3028ab4a?\nAnswer: -3028ab49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**3 - 12*r**2 + 9*r + 3. Let i(j) = j**3 + j**2. Let g(u) = 4*i(u) + m(u). Let h be g(-9). Solve -2*f + 4 + 14 = 4*c, -f + 14 = h*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59241 - -1068482065.\nAnswer: 1068541306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:13 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(1300) + 3 - sqrt(143)\/(sqrt(11)*3) - ((sqrt(13)*3 - sqrt(13))*-5 - -3*sqrt(1300)))**2.\nAnswer: -56*sqrt(13) + 10273\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 18. Solve 0*w = f*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 6:40 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-3 - (7 + -12)) - (9 + -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + (-2*sqrt(1331)*-4 - (sqrt(1331) + 0 + sqrt(1331) + 0)) + -2 + 5)**2.\nAnswer: 1716*sqrt(11) + 48085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**3 + q**2 + q + 2. List the prime factors of p(3).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 9*a + 30. What is the least common multiple of 243 and c(11)?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.078 + -1.17. Let c = v + 0.56. Round c to two decimal places.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (261\/435)\/(3\/50).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.3425, 2\/9, 0.4, -3\/2, -0.2, -2, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218681 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 47 - 7 - 30 + 5.\nAnswer: -4*g - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15, -67, -145, -243, -355, -475, -597?\n\"Answer: z**3 - 19*z**2 - 2*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 1542 + 1992 = 0 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -3. Suppose -l + 15 = h*k, 3*l - 6*k = -2*k - 12. Let j = l + 7. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -88569 + 13?\nAnswer: -88556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -573 + 2149. Let p = f + 219. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/6 - g. Let f(y) = -9*y**2 + 17*y**2 - 15*y**2. Calculate f(v(i)).\nAnswer: -28*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53291 is divided by 13318.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32131014 (base 6) to base 5\nAnswer: 220220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, -5, 55, -627, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 - -93. Let d(v) be the second derivative of 3*v + 0*v**2 + 0 + 0*v**3 - 1\/20*v**5 - 1\/4*v**m. Find the third derivative of d(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-2))\/((-4)\/(-32)*4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3690)\/984)\/(((-24)\/28)\/((-4)\/7))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 28\/(-5))*(-70)\/(-21). Let i(f) = -27*f - 131. List the prime factors of i(u).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -14*f - 2. Let y(h) be the third derivative of h**4\/8 + 240*h**2 + 3. Give a(y(s)).\nAnswer: -42*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erexyxxxry. What is prob of sequence yey?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/9 + 2*g**3\/9 + 95*g**2\/9 + 100*g\/3.\nAnswer: -g*(g - 12)*(g + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 588 + -588. Let y(p) be the first derivative of -3\/2*p**2 + l*p - 2*p**3 - 3. What is the second derivative of y(o) wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 1. Let s(f) = 4*f + 2. Let l = -4386 - -4389. What is l*d(i) + s(i)?\nAnswer: i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83435 is divided by 83367.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 37 - 22)*(2*h + 0*h + 0*h)*(-5 + 5 + 2).\nAnswer: -324*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94\/7 - -13. Are -1 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 4:45 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 20370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 - 12*z + 1. Let u(i) = i**2 - i + 1. Determine -h(y) + 3*u(y).\nAnswer: -y**2 + 9*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010011 + -11110101?\nAnswer: -1100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14 + 19 + 2*-2. Suppose -5*n - 4*y = -0*n - q, -2*n - 3*y = -6. Suppose 0 = 2*f - 6*f + 132. What is the remainder when f is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.27 * 4.\nAnswer: 5.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -64842, -4, -5 in increasing order.\nAnswer: -64842, -5, -4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 - 39*x - 2*x**2 + 15*x - 2*x**3 + 26*x - 42 to the form k*x + l*x**3 + q + u*x**2 + s*x**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 + 1.1. Let k = 1.7 + g. Round k to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -14. Let k = 7 + u. Let j = 43 - k. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-19)\/(-21) - (-210)\/2205).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v + 4. Let c(g) = 3*g + 5. Let r(f) = 4*c(f) - 5*n(f). Let z(m) = 7*m**2. Determine z(r(t)).\nAnswer: 63*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 33*g - 424. Give r(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17874 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + d7924d?\nAnswer: d7924a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.8159 decades in years?\nAnswer: 998.159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**3\/3 + 9*v**2\/2 + 14*v + 9. Let p be r(10). Suppose 0 = -5*y + 35. Solve 4*f + 4*x + 16 = 0, -p*f = -2*x + 3*x + y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 26. Suppose -7*k + d*k = 0. Solve k - 4 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 20089*t**2 + 4*t + 3. Let o be j(-1). Suppose -9*z - 3951 + o = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + j + 2*j - 4, 2*u + 5*j = 25. Let z(d) = -2*d - 4. Let o be z(-3). Suppose 6 = o*r + r. Solve -r*f = -3*m + 3, -u*f - 4*m - 19 = -0*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:53 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18200 bigger than 18231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -700 (base 9) to base 6.\nAnswer: -2343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 + -17 + -106 + 86?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 13) in base 9?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-32)*-12 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*z + 3*z - 23*z)*(0*z - 2*z + 3*z) to p + w*z**2 + n*z and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y - 6. Let b(z) = 35*z + 26. Let k(c) = -6*b(c) - 26*o(c). Let g(n) = 12709*n. Give k(g(v)).\nAnswer: -25418*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = 0, -3*p = 3*j - 0*p - 15. Let u = j - 7. Suppose -c - 6 + 25 = u. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.592564 and 204680.\nAnswer: 204678.407436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68\/133 + -14657\/2394. Suppose 718 + 870 = -2*j. Let o = 1687\/2 + j. Find the common denominator of o and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6841\/6 - 10337\/9. What is the common denominator of q and -75\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39.4 + 3.3. Let i = j - 50. Let z = i - -7.1. What is the closest to z in 2\/15, -1\/3, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntzznonntnoonollt. Give prob of sequence tzzl.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*n**2 + 38*n**2 - 70*n**2 - 1 + 42*n**3 + 155*n**3 to w + c*n**3 + o*n + p*n**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32127, 32151, 32189, 32247, 32331, 32447?\nAnswer: 32601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81.294*-53.\nAnswer: -4308.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 28 = 2*g + 5*h, -5*g + 67 = -h. Let s(n) = 2*n**3 - 23*n**2 - 41*n + 28. Let k be s(g). Solve 0 = 4*u + 2*b - 5*b - 11, -4*u = -k*b - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1\/7, -1\/4, -293, 10792?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2544, -6107, -9672, -13239, -16808?\nAnswer: -20379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4585*v**2 - 13*v + 4907*v**2 + 6*v + 4*v.\nAnswer: 322*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - 5\/((-10)\/6). Suppose -o + 8 + 9 = s. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-663282)\/(-6228))\/(9\/(-6))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-13)\/n**(5\/11))**(-20) assuming n is positive.\nAnswer: n**(2960\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 6*p. Suppose -o = b - p*o - 85, 0 = b + 5*o - 65. Calculate the remainder when b is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 190\/440 + (-2)\/11. Solve -1\/4*u**4 + 1\/2*u**3 + y*u**2 + 0 - 1\/2*u = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21357 + 22503. Which is the third biggest value? (a) -3 (b) g (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -44. Solve -2*c - m + 7 = 0, f*m - 6 = -c - m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5\/19 - 54*t**4\/19 + 5190*t**3\/19 - 41530*t**2\/19 + 23292*t\/19 + 255024\/19 = 0?\nAnswer: -69, -2, 4, 7, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5 - 16*j**4*t - j**3*t + j**2*t - 69*j**2 - j*t wrt j.\nAnswer: -120*j**2 - 384*j*t - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 n when three letters picked without replacement from nnninnunwnnnuninnw.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 12:08 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8439 - -8542. Suppose -2*k - 5*o + 20 = 0, k + 3*k - 12 = -3*o. Which is greater: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1319240, -1319233, -1319222, -1319207, -1319188, -1319165?\n\"Answer: 2*h**2 + h - 1319243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 4, 5, -5, -2\/31 in increasing order.\nAnswer: -5, -2\/31, 0.6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*y + 7*y - 98*y - 27*y to x*y + r and give x.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.09417 centimeters in millimeters?\nAnswer: 710.9417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43636919239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 337253*x**5 + 141473*x**2 wrt x.\nAnswer: 20235180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -438, -34, 14 in decreasing order.\nAnswer: 14, -5, -34, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 12) to base 11\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 16805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1002149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 + 18 + 77)*(171*y - 926 - 923 - 923 + 2772) as p + h*y and give h.\nAnswer: 21033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k**2 + 61*k + 75. Let t(y) = -10*y**2 - 91*y - 112. Let z(n) = 7*d(n) + 5*t(n). List the prime factors of z(-22).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -80, -162, -246, -332, -420, -510?\n\"Answer: -s**2 - 79*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/132? (a) 2\/77 (b) 6\/19 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + o**2 + 9)*(o - 4*o + 2*o)*(-296 - 460 + 122 - 574).\nAnswer: 1208*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 6*s**2 + 23*s + 38. What is the remainder when 18 is divided by b(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/7, 584, -2\/15 in decreasing order.\nAnswer: 584, -2\/15, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -1.3. Let c be (-1)\/6 - 4170\/36. Let j be -2*c\/(-72) + 3. What is the second biggest value in t, 1\/2, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7243143.6 rounded to the nearest 100000?\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**4\/3 + 19*t**2. Give o(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 789a5b4 - -1?\nAnswer: 789a5b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*b)*(1993*b - 3335*b - 647*b + 441*b - 6307*b - 8368*b) to g*b + v + d*b**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 - (-29 + (2 - 2)) is divided by 3 + -17 + 16 + 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 + 2*h - 1 + 5*h**2 - h**2 + h**2. Let j(s) = -s**2 - 3*s + 2. What is 3*i(m) + 2*j(m)?\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4 + b**2 - 5*b - 3 + 5. Let q = -3466 - -3469. Calculate k(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 35*b - 20*b + (5 - 5 - b)*(-3 + 0 + 1) + (2*b - 2*b - 7*b)*(-1 + 2 + 2).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -24*h - 32. Let a(r) = -3*r + 1. What is 4*a(f) - n(f)?\nAnswer: 12*f + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144.01 + 1.01. Which is the closest to 0.1? (a) i (b) -2\/15 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 391.74 and 29.4.\nAnswer: 11517.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c5 (base 15) in base 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*s - 42 = 0, p + 2*s = -3*p + 60. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = -388*v - 247 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + 40 - 0) + (-4)\/(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*j**3*k*w**3 - 7*j**3*k + 2*j**2*k*w**3 - 11*j**2 - 2*w**3 wrt j?\nAnswer: 78*k*w**3 - 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -8*z. Suppose -8 = -z*q - q. Let o(n) = n**3 - 9*n**2 + 11*n - 10. What is the tens digit of o(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4343065.\nAnswer: 5, 868613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 284579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8)*m**(-11))\/(m**1)**(-17\/4))**(-41) assuming m is positive.\nAnswer: m**(2419\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*29.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2279 + -0.2721. What is the nearest to 3 in w, -0.6, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y**2 + 17*y - 5*y**2 - 17*y to d + p*y + z*y**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7840 and 1056?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7746 + -85200\/11. Let h = -1 + 1. What is the second biggest value in -0.2, -5, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1746499?\nAnswer: 19, 91921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/14 and (-1)\/2*122\/(-20).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3))**(2\/35)*k**(1\/4)*k*k*(k*k**(1\/6))\/k)\/(k**(-2)*k*k**2*(k**(-1\/2)*k)\/(((k\/((k*k**(-2\/7))\/k)*k)\/k)\/k)) assuming k is positive.\nAnswer: k**(171\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5383 in 2, -10, -5, 1\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2122*o**2 + 3637 + 3586 - 7223.\nAnswer: 2122*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 0 - 5*b**2 + 40.\nAnswer: -2*b**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 13*r**2 - 37*r + 21. Let w be z(9). Solve -2*b + w = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47536 + 47723.008. Let r = 187 - y. What is r rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 + 4. Let r = l - -134. Let u = 42.042 - r. Round u to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(171) - sqrt(171)) + 1 + (2 + sqrt(171))*-1*4.\nAnswer: -21*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*v - 4*z + 16, -64 = -5*v + 2*z. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaahaaah. Give prob of picking 3 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, j: 2, n: 1, r: 1, i: 11, g: 4}. Give prob of picking 1 n, 1 i, and 2 j.\nAnswer: 11\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 33*d + 44*d - 72*d. Let h(u) = 12*u. Give q(h(s)).\nAnswer: 60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2816 is divided by 1388?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183439449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 36662?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*v - 6 - 300*v + 616*v.\nAnswer: 2*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1.27, 5, -0.04, 0?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + -4 + sqrt(80) + 4) - (sqrt(80)*-1 + 0 + -2*sqrt(80)*5)*1)**2.\nAnswer: 1440*sqrt(5) + 18144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 2*a**2 - 7*a + 4. Let i be n(5). Let r(d) = d**2 + 12*d + 12. Let u be r(-8). Calculate the remainder when 43 is divided by (30\/u)\/((-3)\/i).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12052 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-81) + (-32)\/(-18). Suppose -x + 3*t = -13 - j, 2*t = -x - 10. Suppose 3*m + z - 4 = 0, x = -3*m - 4*z + 11 + 5. Solve -a - 4*a = m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g - 7. Let y(k) = 5*k + 8. Let l(f) = -6*a(f) - 5*y(f). Calculate l(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -855, -1924, -3011, -4122, -5263?\nAnswer: -6440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**4 + 0*s - s + 3*s**4)*(-1 + 1 + 2*s).\nAnswer: -2*s**5 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cc1 (base 14) to base 2.\nAnswer: -100111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 246, 1332, 3760, 8046, 14706, 24256, 37212?\nAnswer: 54090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 65672, 131344, 197020, 262706, 328408?\n\"Answer: b**3 - 4*b**2 + 65677*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 10. Suppose 5*k - 10*k + 150 = 0. Suppose -k = -7*o + 6*o. Suppose -5*f = f - o. What is u(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-7 + -3 + 14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*-0.2267\nAnswer: -0.34005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 12:56 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -628, -2645, -6006, -10711, -16760, -24153, -32890?\nAnswer: -42971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53815*n**3 + 9446*n**3 + 0 + 0.\nAnswer: -44369*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (0 + 58\/(-2)). Let z(t) = -4*t - 19 + 27 + y*t. Does 14 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -759742 - -0.5.\nAnswer: -759741.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/(-108))\/((-2)\/40). Solve -48 = -4*p + y*s - 15, -p - 4*s = 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-10)\/(-8))*(-4)\/(-6). Let z(b) = -3*b**2 + 2*b + 6. Let x be z(-2). Sort -4\/5, i, x in descending order.\nAnswer: i, -4\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 838.9748kg?\nAnswer: 838974800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.43 + 213.57. Let i = -4823.45 + 4609. Let f = i + x. What is f rounded to one decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.5794424 to 3 decimal places.\nAnswer: -28.579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2146*h + 22972 + 6893 + 17347 = 0 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4576 and 45\/242?\nAnswer: 50336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -230 - 170. Let g = 401 + p. Which is the second biggest value? (a) -413 (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27c8 - 3?\nAnswer: -27cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a = 0. Does 24 divide 72 + a\/(2 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 10:22 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k = 3*k - 2*k + 234 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1122748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 37*l**3 - 4*l**2 + 113. Let y(t) = 111*t**3 - 11*t**2 + 340. Let f(d) = -11*w(d) + 4*y(d). Find the first derivative of f(v) wrt v.\nAnswer: 111*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/8061 and 47\/15.\nAnswer: 40305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**3\/7 - 20*q**2\/7 - 16*q\/7.\nAnswer: -2*q*(q + 2)*(3*q + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1434)\/(-18) + (-1)\/(-3). Suppose 124 = 3*v - f. Suppose -3*j - j + v = 0. What is the greatest common divisor of j and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*h + 509 = -665 + 166 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-100)\/(-8)*2\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 3, 5\/101, -0.3, -0.058?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 * 2.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -276*s + 1166. Let x be d(4). Solve -x + 13 = -7*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 135 = 4*x. Let d(j) = -2*j**3 + j**2 - j - 7. Calculate the lowest common multiple of x and d(-2).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5016*m + 20 + 10 + 16703*m + 51316*m. Let p be -8 - (2 + (-2 - -2)). Let w be f(p). What is w rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*i = 11, 5*j - 2*i + 5 = 18. Let k be -3 - 143\/(-2) - j. Let f = -1435\/22 + k. Calculate the common denominator of -83\/6 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2070692973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3715300 to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m - 5. Let z be o(-6). Suppose 28 - 8 = 5*c. Suppose -4*w = c*b - 83 - z, -b + 2*w + 18 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/38210 and -55\/15284.\nAnswer: 76420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20981931065 + -1267287654560491\/60399. Let a = u - -2\/6711. What is the common denominator of a and 109\/96?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 5*x + 2. Suppose 0 = -3*g + 5 + 34. Let b be (-63)\/g - (-2)\/(-13). Let i(l) = 4*l**2 - 6*l - 2. What is b*i(q) - 6*u(q)?\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17*-0.9339994\nAnswer: -15.8779898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5) + -1 - ((-6 - -1) + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 12*n = -110. What is the smallest common multiple of n and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 136191818, 136191820, 136191822, 136191824?\n\"Answer: 2*x + 136191816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2563, 5138, 7719, 10306?\nAnswer: 12899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297552 and 6864?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 10. Let o be l(-5). Suppose 9*v = o*v + 48. What is the greatest common divisor of 84 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 4, w: 2}. Give prob of sequence jwij.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 16*f**2 + f - 104. What is m(15)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76953 * -338.\nAnswer: -26010114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*r**4 + 45*r**3 - 69*r**2 - 45*r - 6 = 0. Calculate r.\nAnswer: -1, -2\/5, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from occckkkkk. Give prob of picking 1 c and 1 o.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**2 + 44. Let x(o) = -6*o**2 + 22 + 13*o**2 - 5*o**2 - 4*o**2. Let s(f) = -3*i(f) + 5*x(f). What is the derivative of s(p) wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 24906302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2033*t**4 + 1015*t**4 + 1023*t**4 - 1 - 21*t as j*t + y + m*t**4 + x*t**3 + c*t**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1819254?\nAnswer: 2, 3, 23, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23464 and 308?\nAnswer: 258104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 5 - -19) + 51 + 2 + -2 - 5?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c5804 + 3?\nAnswer: 2c5807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**5\/3 + 369*v**4 - 2207*v**3\/3 - 3323*v**2\/3 + 2948*v - 4420\/3 = 0.\nAnswer: -2, 1, 2, 1105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*t**3 - 25 + 2*t + 15 + 13*t**3 - 24*t**3 wrt t.\nAnswer: -222*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*b = -27, -3*b - 33 = -0*z + 5*z. Let l be 5 + z - 2\/(-6). Which is bigger: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 58594107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*c**3*w - 86*c**3 - 10*w wrt w.\nAnswer: -8*c**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 996*y = -509*y + 16555. Let u = 4 + 6. Solve -6*h + y*h + u = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11409.3807 less than -2?\nAnswer: -11411.3807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*7\/(-210)*(-10)\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 75*i + 675. Let t be l(-23). Solve 1 - 33 = t*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253904, 253903, 253902?\nAnswer: 253901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -271.053 + 0.053. Let u = w + 270.99998255. What is u rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 52*i\/9 + 6.\nAnswer: -2*(i - 27)*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:15 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 8\/45*d**3 + 1\/180*d**6 + 0 - 1\/9*d**4 - 1\/15*d**5 + 0*d + 3*d**2 + 1\/225*d**7. Let f(h) = 0. What is h?\nAnswer: -2, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 7:06 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 28*i = -7*i - 66 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-52)\/(-8) - 5)\/(3\/4). Let a(x) be the first derivative of -1 - 2*x + 0*x**4 + 3\/5*x**5 + 0*x**3 + 0*x**s. What is the derivative of a(t) wrt t?\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 68670630?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2156 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 3*m**2 - 2*m + 7*m**2 - 2*m in the form n*m + p*m**2 + s and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n - 30. Let r(i) = -i. Let x(p) = -34*p**3 + 8*p - 1. Let g(b) = n*r(b) - x(b). Is g(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/167? (a) 0.4 (b) 4 (c) -9205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 329 + -323. Suppose 0 = v + l + 3, -v = -0*v - 4*l - 22. Solve 0 = o - 4*p, -p - 13 = -v*o - d*p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqvqqvqqqvqqq. What is prob of sequence qq?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/4)\/((-12)\/504). What is the highest common divisor of v and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4*c - 8, 0 = 4*o - c - 4*c + 49. Suppose -z + 0*z + 12 = 0. Suppose 4*x - 3*b = -z, -1 = 2*x - 5*b - 9. Is x > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -177*w. Let r(c) = -436337*c**2 + 2*c. Calculate r(d(s)).\nAnswer: -13670001873*s**2 - 354*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 divided by -370?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 139335.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -194278\/47, 11 in ascending order.\nAnswer: -194278\/47, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {p: 3, c: 5, n: 1, t: 9}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -18 + 4 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*l = 162*l - 360. Solve -2*f = -2*w + 4, 2*w + 2*f + 14 = l*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -95, 5, 1, -1 in increasing order.\nAnswer: -95, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-2 - -7 - 14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a**2 + 4*a - 10. Let y(t) = -9 - 2 + 7*t**2 + 5*t - t. Suppose v + 8 = 3. Let o(r) = v*d(r) + 4*y(r). Factor o(u).\nAnswer: -2*(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -26) + (1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -2 (b) -0.5 (c) -116\/3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156 + -18. Let w = 175.31 + a. Let x = 1.35 + w. What is x rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m - 6. Suppose -105871309 = m*w - 290316859. Let n = w + -20440925. What is n rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 91704*j - 1051202952.\nAnswer: -2*(j - 22926)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 + 221?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 279901.307722?\nAnswer: -279897.307722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 289688 and 1870624?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 1:22 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwxxxx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -184 + 194 + (2 - (-4 - -15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:31 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/5 - 4\/(-20). Suppose -5*t = -2*w - 0*t, -4*w + 5*t + 10 = s. Is 9 a factor of (28\/(-10))\/((-1)\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72*k**2*x**2 - 7*k**2 - k*x**2 - 2*k*x + 119334*x**2 - 2 with respect to k.\nAnswer: 144*k*x**2 - 14*k - x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33145 (base 6) in base 4?\nAnswer: -1013321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0)*(55 - 14 + 41)*(-2*o**3 + 0*o + 0*o) to z + q*o**3 + f*o + x*o**2 and give q.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(117) - (1 + sqrt(117) - sqrt(117))))*4 - (-4*(sqrt(117) + -1*sqrt(117)) + -5))**2*-3*-1.\nAnswer: 936*sqrt(13) + 6123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-5 - (-2 + 4 + 6))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 606489?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3))**(-2\/31)*(p**(-2))**(4\/11) assuming p is positive.\nAnswer: p**(-788\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6953?\nAnswer: 17, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24664*k**2 + 13*k - 48114816?\nAnswer: 49328*k + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**2*v**3 - 2*f**2 - f*v**3 - 109*f*v**2 wrt f.\nAnswer: 4*v**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -204*(-745268 + 126\/7). What is x rounded to the nearest 1000000?\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 88 = 17*y. Let h(k) = 14*k**2 + 789*k + 6422. Let m(x) = 3*x**2 + 158*x + 1284. Let j(s) = y*h(s) + 11*m(s). Factor j(d).\nAnswer: 5*(d + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 + 11*w**2 + w**3 - 265 + 528 - 262 to the form l*w**2 + z*w + f*w**3 + d and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.19 and 11?\nAnswer: 2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 3*i + 6. Let r be s(4). Suppose 0 = -7*a + r*a + 10. Solve 3*m + y = -9, -a + 3 = 4*m - 3*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22800)\/1026)\/(24\/54).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000685373 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:48 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -203 + 351. Which is the second smallest value? (a) l (b) -1 (c) -1\/3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*258\/(-215)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 0.2 (c) -1\/3 (d) 0.5 (e) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 2. Suppose i*m = 8*m - 35. Let h = m - 0. Calculate the remainder when 25 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 718*x = 736*x + 36. Let q(r) = r**2 + 15*r + 33. Calculate q(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*q**3*s**3 - 18*q**3*s**2 - 264*s**3 - 2 wrt q.\nAnswer: 30*q**2*s**3 - 54*q**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 867 and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a factor of 32748975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2851*-0.02.\nAnswer: 0.005702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 14 = 25. Suppose -4*h = i - 73. Solve 5 = 4*x - h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78.969 - 0.231. Let i = k - -79. What is the third smallest value in 2\/7, 3\/8, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.4, 4, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-7)\/n*n))**(-2\/197)*(((n**(-9)*n)\/n)\/n)\/(n*(n*n**(-6)*n)\/n) assuming n is positive.\nAnswer: n**(-1198\/197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 858 - 107. Is (6 - j\/2)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 195*a**3 - 6*a**2 - 6*a - 2. Let s be k(-3). Let i = -3668 - s. Let l = i + -1078. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3224778 by 2347.\nAnswer: -1374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001342 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -0.0117.\nAnswer: 0.0819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 9. Let c be j(6). Suppose 0 = 3*n + c - 9. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 - 9 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 6318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + -1.98. Let v = -11 - q. Let p = v + 5. Which is the closest to -1? (a) p (b) -1\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000000000110000111001110 (base 2) to base 9\nAnswer: -34548321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and 79\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*n**3\/15 + 378*n**2\/5 - 424*n\/5 + 184\/15 = 0 for n.\nAnswer: 23\/136, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -5*s - 35 - 0, 5*a = -2*s - 33 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9373549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**6\/3 + 122*l**5\/35 + 40*l**4\/7 - 80*l**3\/3 - 432*l**2\/7 + 288*l\/7 - 1296. Solve d(g) = 0 for g.\nAnswer: -6, -3, -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 92a838 - -4?\nAnswer: 92a83c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 2*y**2 - 5*y - 1. Is d(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Let c(k) = -100*k + 189. Give c(3).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*d**2*m + 5*c**2*d**2 - c**2*d*m**2 - 10*c*d**2*m**2 + 28*d*m**2 wrt d.\nAnswer: 4*c**2*m + 10*c**2 - 20*c*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -381 - -388. Solve 0 = -p*c + 9*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - 5*j**3 + 25 + 5*j**2 + 11.\nAnswer: -5*j**3 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/(-24)*6\/(-8). Suppose 0 = -4*h - 16, -3*h - 89 = 5*q - 7*h. Sort q, o, -4.\nAnswer: q, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9084, -18160, -27236, -36312?\n\"Answer: -9076*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -559 = -4*w + 4*k + 409, 4*w - 5*k - 963 = 0. Calculate the remainder when w is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Suppose s - 35 = l*f, 0*s - 4*s - f = -89. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3, -4\/7, 8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 17, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4*f - 9*f - 29, -5*h + 29 = f. Find the third derivative of -4*r**5 - 6 + h - 4*r**2 - r**5 wrt r.\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*z - 36 = -219, -247 = -4*j - 3*z. Suppose -4*s = -0*s + j. Let b = s - -20. Solve b*x + 4 = 4*r, 3*r - 4 = -r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 9530 + 9482 = 0. What is the lowest common multiple of u and 62?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*k + 0 + (-433 + 22*k + 433)*(5 - 3 - 3) - k + 4*k - k + (-1 + 2 + 1)*(4*k - 6*k + 4*k) + 2 - k - 2.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(70) - sqrt(70)*-4)*5 - sqrt(70))\/(sqrt(60)\/sqrt(6)*4 - sqrt(10)).\nAnswer: -1 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8508 = -2985*m + 149*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26432 and 22?\nAnswer: 290752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**5\/12 + 5*t**4\/4 - 10*t**3\/3 - 50*t**2\/3 + 2*t + 555. Solve f(d) = 0 for d.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1931, 1928, 1933, 1952, 1991, 2056, 2153, 2288?\n\"Answer: h**3 - 2*h**2 - 4*h + 1936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.6. Let r = -201389\/78 + 2582. Let u = 43\/286 - r. What is the nearest to u in 2\/3, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:16 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**3 + 5*y**2 + 5*y - 5. Let m(o) = 4*o**3 + 6*o**2 + 6*o - 6. Determine 5*m(k) - 6*n(k).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/31*(-8)\/1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*w**2 + 24478*d**2 + 2*d*w + 8*d - 210*w**2 wrt d?\nAnswer: 2*w**2 + 48956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kuukkukkkkkkkkkkuu?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20211.12 and 11.\nAnswer: -222322.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p*p\/(p\/(p**34\/p))))\/p*p)\/p*(p*p**(1\/49)*p)\/p assuming p is positive.\nAnswer: p**(-1567\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8)*(-324)\/(-486)*1*-1)\/44?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 + -0.24. Let x = v - 0. Let k = -13 - -12.5. Which is the biggest value? (a) k (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/5 - 6358*m**2\/5 - 864398*m\/5 - 1147986 = 0.\nAnswer: -3037, -135, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leoxnxlnoqlqoxonx. Give prob of picking 2 x.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 3 + -5 - (-34 + 16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**4 + 1248347*w**2 - 2401681*w wrt w?\nAnswer: -36*w**2 + 2496694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.006 (b) -0.132 (c) 2\/5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 21 = -17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1758 times -8.9\nAnswer: 15646.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9590949 to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13123 is divided by 6294?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 59358 = 17*d. What is d rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -0.2 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*m. Solve m*o = 4*d + 12, -3*o + 10 = -0*o - 2*d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(63) + sqrt(7) + -4 + 4).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*2*2. What is the remainder when g\/(-3) - (-201)\/9 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 - -212. Suppose 0 = -3*u + 3*y + 27, 46 = 5*u + 2*y - 6*y. Calculate the remainder when g is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + (sqrt(720) + 3)*4 + 5)*5)**2.\nAnswer: 51000*sqrt(5) + 457225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w + 1. Let i(m) be the first derivative of m**2\/2 + 69. Give -b(f) + 6*i(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 63, 129, 195, 261, 327?\n\"Answer: 66*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 13. Let y = -7 - -11. Let w = 15 - y. What is the remainder when w is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 10*m = 0. Suppose -b + 5*s + 328 = m, 5*b + 0*b + s = 1640. List the prime factors of b.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mssssmssms. What is prob of sequence ssms?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11*r. Let j(t) be the second derivative of -t**4\/6 - 6*t. What is j(w(k))?\nAnswer: -242*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -545.8847435503.\nAnswer: -549.8847435503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92*b*i*o**2 + 8*b*o**2 + 3*b - 3394*i*o**2 + 2*o**2 + 2*o wrt b?\nAnswer: 92*i*o**2 + 8*o**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b + 71*b - 310908 = 81*b. Calculate the highest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -289 + 439. Let y = -143 + a. Solve -y*s = 5 + 23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332159134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-429)\/52 + 9)*(-7)\/((-140)\/16)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 9*l + 12. Let h be y(10). Let d = 76.6 + -77. Is h at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7202.343667 rounded to 1 dp?\nAnswer: -7202.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/102)\/(-5*10\/(-7400)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 31*y**2 + 50*y + 37. Let b be s(-28). What is the third derivative of -9*q - 1957*q**4 + 7*q**2 + b*q**4 + 1008*q**4 wrt q?\nAnswer: 960*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -49*c - 927. Let l be q(-19). Solve i + 3 = t - 4, 25 = -l*i + 3*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n - 15*n - 11*n + 532*n**3.\nAnswer: 532*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -25*a**4\/3 - 130*a**3\/3 - 28*a**2 + 136*a\/3 - 32\/3 = 0.\nAnswer: -4, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 85*-3526179\nAnswer: -299725215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*b = 0, -w + 3*b = -8. Let n = -3365 - -3372. Solve -3*c - w = -n*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)*w*w\/w**(-2\/7))**24 assuming w is positive.\nAnswer: w**(2088\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 233\/6, -6, 0.48, -2?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-2\/23)*k))\/k**(-13\/6)*(k\/(k*k**(1\/11))*k)**(-29) assuming k is positive.\nAnswer: k**(-36599\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54.7 - 2.7. Let m = -52.54 + v. Let s = m - -0.3. Round s to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 6386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -4*g - g. Calculate the common denominator of 77\/10 and 37\/(-6)*g\/(-25).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/13924 and -67\/1062.\nAnswer: 125316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8413 - 4800. What are the prime factors of d?\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (13 - 10)) + (4 - -7) + 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -19087*p**2. Let t(o) = 3053*o. What is t(r(s))?\nAnswer: -58272611*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 8. Let b = 10.4 + i. Let k be -2*1*2\/4. What is the second smallest value in b, k, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2063 - -2062.97. What is the fourth biggest value in x, -30, -1, 0.4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243 divided by 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 38 = -2*r. Let l(y) = 21*y - 387. What is the lowest common multiple of l(20) and r?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + sqrt(209)*2*6)\/(-1*sqrt(539) - sqrt(539)).\nAnswer: -13*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 10*l**3 + 18055*l - 18055*l + 3*l**2 to m*l**3 + k*l + j*l**2 + i and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37794416, -37794413, -37794410?\nAnswer: -37794407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 290\/(-315) - (-8)\/(-36). Which is the smallest value? (a) -2 (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -4, 26, 1\/2, -0.04?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-2)*3490\/(-5)?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - (-1 + 3 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8118.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1377?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -844, -3126, -6936, -12268, -19116?\n\"Answer: y**3 - 770*y**2 + 21*y - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12359, 4, 2, -3, -2, 1\/3 in decreasing order.\nAnswer: 4, 2, 1\/3, -1\/12359, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 + 222. Suppose 2*p - x + 21 = 0. Calculate the smallest common multiple of p and 1059\/48 - 24\/384.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383654179?\nAnswer: 41, 9357419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 7*r**2 - 4*r - 2. Let b be h(-7). Let o be -3 + 1 + 1 + b. Suppose 0 = 24*i - 20*i - 104. Are o and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/12 + (-2)\/6. Suppose -4*h - x - 11 + 36 = i, 3*h + 10 = 5*x. Let k = 5610 - 5607. Solve p - 3*r = -p - h, -k*p = -r + 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 348 = 62*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oojihkk. Give prob of sequence oijo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 1 - (-29 + 38)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558763.\nAnswer: 157, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321586?\nAnswer: 2, 23, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, t: 1, c: 2}. What is prob of sequence gtg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from hwurhrhlulhrrlwurr.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 14) to base 6.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/15)\/(3\/9*-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -18, -1\/6, -0.1, 11\/13 in ascending order.\nAnswer: -18, -1\/6, -0.1, 11\/13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) 0.2 (c) -3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 131210560?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + u - 7372, 7*u = -z + 1358 + 485. List the prime factors of z.\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -6. What is the remainder when (-6)\/5 + 1826\/55 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 8*q + 4. Determine i(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzz when three letters picked without replacement from {z: 2, m: 10, q: 1, e: 1, v: 4}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 + 0 = 0. Suppose 6*w - 68 = r*w. Suppose 0 = 4*f - w - 31. What is the highest common divisor of f and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.232 + 483069.14937?\nAnswer: 483069.38137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10135 or -10133?\nAnswer: -10133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9681 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/8 - (((-3570)\/(-80))\/1 + 10). Suppose 3*y = -j + 2*y - 37, 2*y = 6. Let m = j - d. Is 16 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 99 = -3*s. Calculate the least common multiple of 138 and s.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40013 - 40068.874. Let a = 18 - -38. Let j = w + a. Round j to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87708.26 kilometers to meters.\nAnswer: 87708260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 14 = -c, -3*c - 17 = -5*c + 5*d. Let n be 4*(0 - -3)\/6. Suppose -g = -n*b + 3, -g - 4*g + b - 15 = 0. Sort c, -5, g in ascending order.\nAnswer: -5, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87563*q - 1686*q**3 - 87563*q.\nAnswer: -1686*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-16\/7)\/f*f*f*f\/(f*f**7*f) assuming f is positive.\nAnswer: f**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 3*u + 5*k + 15 = -9*u, 43*u - 5*k = -185 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -390*k**2 - 41*k + 1180*k**2 - 400*k**2 - 39 - 392*k**2. What is n(-19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 23*w + 76. Let a(c) = 8*c + 25. What is 17*a(v) - 6*d(v)?\nAnswer: -2*v - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**3\/3 + 3*l**2 - 13*l + 2. Let c be h(-8). Solve -4*f = 2 + 6, t + c = -f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 11*q**2 + q - 4. Let g(c) be the third derivative of c**4\/24 - c**3\/6 + 3*c**2. Let k(p) = g(p) - o(p). Differentiate k(a) with respect to a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*d + 34 = 0, -5*p - 34 = -6*p + 5*d. Suppose -21 = a + x, 2*a + 0 = 2*x - 46. Let u = a + p. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -2. Let b = -17 - n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40026696 to the nearest integer?\nAnswer: 6327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**4 - 2 + 2 + (2*m**3 + 3*m**3 - 4*m**3)*(-2*m - 4*m + 7*m).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.123 to one dp.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 6*k**2 - 6*k - 5. Let m be v(7). Suppose 15 + 181 = 4*i. Let t be (4\/14)\/(7\/i). Solve 4*j - m*r + 6 = j, -j - 3*r - t = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 9*r**2 + 8*r - 20. Let o be k(-10). Suppose o = 3*q - 9, 18 - 78 = -3*w - 3*q. What is the greatest common factor of w and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.6 and 0.165.\nAnswer: 1.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 112 = 5*l + 5*w, -3*l = -5*w - 152. Suppose -i + l = i. Calculate the remainder when i is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0 - 4 = 0. Suppose 12 - 2 = -5*o. Sort -3, l, o in descending order.\nAnswer: l, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 38. Suppose -46 = 3*o + 23. Let m = 19 - o. What is the highest common divisor of t and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 + 45 = -14260*q + 14271*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 44*z - 1. Suppose 7*w + 156 - 149 = 0. Let o(y) = -2*y - 1. Let m(j) = w*g(j) + o(j). Factor m(s).\nAnswer: s*(s - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2089*a - 166913 = 6229*a - 5453 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 56, -0.7, -4.6, 137?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6242445 smaller than -6242461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 141071 - 46393. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*w - 274*w - 18*w + 45*w - 18*w - 81*w.\nAnswer: -472*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-40 + 21 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18ac8 - 5?\nAnswer: 18ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 11. Let h = -5.81 - -0.81. Put h, -2\/9, p in ascending order.\nAnswer: h, p, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -8. Let l = -534.86 + 542. Let g = l - 7.14. What is the closest to 1\/2 in j, 9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 158 + 367. Let u(k) = k**3 + 13*k**2 - 113*k - 952. What is the remainder when d is divided by u(-16)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 r, and 1 s when four letters picked without replacement from rdsrwd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s = -0 - 40. Find the third derivative of -1264*v**3 + 124*v**2 + 218*v**s + 1264*v**3 + 183*v**5 wrt v.\nAnswer: 10980*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/23))\/(i**(-2)*i)*i**1\/i**14 assuming i is positive.\nAnswer: i**(-251\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.25 milligrams in micrograms?\nAnswer: 281250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttio when four letters picked without replacement from {t: 2, h: 1, o: 1, i: 1, l: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 19. Let t be j(-7). Suppose -3*i + t*d + 24 = 2*i, 2*i + 3*d - 21 = 0. Calculate the lowest common multiple of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4133?\nAnswer: 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a*j**3*q - 38511*a*j**3 + 3*a + 40075391*j*q + 251 with respect to q.\nAnswer: -4*a*j**3 + 40075391*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16898 divided by 6?\nAnswer: 8449\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 18*w**2 + 5*w - 5. List the prime factors of b(-3).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(396)\/(-2*sqrt(9) + sqrt(9)) + (3*sqrt(44) + sqrt(44) + sqrt(44) - sqrt(44))*-4))**2.\nAnswer: 50864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*(-65)\/325*(-2)\/(-6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 15.77?\nAnswer: -1.577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*w - 12. Let d(l) = 12182598*l**2 + l + 2. Let i be d(w). Let y = 24830392 - i. What is y rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*s + 4731 = -87*s - 4*l, -5*l = 2*s - 3154. List the prime factors of s.\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 14*r**3 - 12*r**2 + 13*r + 23. Let f(p) = 11*p**3 - 10*p**2 + 13*p + 24. Let h(q) = -5*f(q) + 4*m(q). Calculate h(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-42)\/(-6))\/42)\/(2\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 + 14*o**2 + 3*o + 75. What is l(6)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a21 (base 12) in base 8?\nAnswer: -11471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-4)*(-13236)\/(-12133).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**4\/2 + 211*z**3\/6 + 2013*z**2\/2 + 66*z + 13. What is the first derivative of g(i) wrt i?\nAnswer: -12*i + 211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/10)\/(390\/(-75)). Is -1 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/(-10))\/((-6)\/64) + 2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**14)**(-41)*p**0\/p**21)**17 assuming p is positive.\nAnswer: p**(-10115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbvaclcclca. What is prob of picking 2 a and 1 b?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = m + 4. Factor 3*i**4 - 2*i + 6*i**2 - 7*i**m + 2*i**3 - 2*i**4.\nAnswer: -2*i*(i - 1)*(i + 1)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 57. Calculate the lowest common multiple of 2 and o(37).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 9 = 0, 4*x - 72314 = -2*r + 6260. What are the prime factors of x?\nAnswer: 5, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 399 + -282. Calculate the highest common divisor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 16, -4, 2\/9 in ascending order.\nAnswer: -4, -0.2, 2\/9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**4\/24 + 25*v**3\/6 + 112*v**2 + 5*v. Let f be -1*1\/(2\/14). Let i be r(f). Calculate the highest common divisor of i and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3002, -12086, -27268, -48548, -75926, -109402, -148976?\n\"Answer: -3049*s**2 + 63*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 8, -5*g + 0*m = -4*m - 221. Let a(p) = 77*p - 139. What is the remainder when g is divided by a(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-1080))\/((-28)\/(-20) + -2).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let g be (-24)\/(-10) - (-14)\/(-35). Solve s*t + 20 = -g*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m - 10040 = -3*q - 19*m, -q + 3360 = m. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 1:38 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*x**3 + 2*x + 276 wrt x?\nAnswer: 159*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**5 + 3*w**4 + 9*w**3 - 15*w**2 + 6*w = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16958*k**4 + 10714*k**4 - 257*k**4 + (6*k - 3*k - k)*(4*k**3 - 4*k**3 + k**3) to the form p*k**4 + h + s*k + z*k**3 + u*k**2 and give p.\nAnswer: 27417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -817 - 83. What is the smallest common multiple of 11 and c?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -27*q + 25*q - 104, -2*d + 3*q = -61. Calculate the smallest common multiple of d and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106.34 + 1.34. Let q = s + 49. Let t = -57 - q. What is the second smallest value in t, -1\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q - 13747919 + 13747919.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86615654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -698 + 14?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuwuuuuwuuuuu. Give prob of sequence uww.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -a + 623. Suppose 0*y = 8*y - a. Suppose 0*f + 4*f - y = 0. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**2 + 10*w + 38. Let q(s) = -5*s**2 - 12*s - 34. Determine 4*b(t) + 5*q(t).\nAnswer: -t**2 - 20*t - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 8 - 41 = 0. Suppose 3*i = c - 5. Suppose -i*w - w - 63000 = 0. What is w rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - 2*w + 5. Let c be t(-5). Suppose g + 120 = 4*d - g, -3*d + c = -g. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8126 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:40 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1928 and (216\/(-297))\/(4\/(-66))?\nAnswer: 5784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) - sqrt(225)*1)\/sqrt(5))\/(sqrt(900) - sqrt(900)*2) - ((sqrt(45)\/(sqrt(36)\/sqrt(4)))**2 + (sqrt(605) + 2 - sqrt(605))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -64, -31, 2, 35, 68?\n\"Answer: 33*i - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 3*h = 12*u - 7, 0 = -5*u + 3*h - 37 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1772 divided by -2?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3223, 1650, 77, -1496?\nAnswer: -3069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8.3, -11, -5, 0.2, -3\/5, 0.03443?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 7*y**2 + 7*y + 8. Let u be f(8). Suppose u = -4*b + 7*b - 18. Is 13 a factor of (-75)\/b*52\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 406008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -16*p + 35 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 70417*c**2. Let s(w) = w**2. Give s(a(n)).\nAnswer: 4958553889*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 + 7 = 0. Suppose -48 = -i - b*i. Let d(g) = 11*g + 1. Let f(l) = -69*l - 5. Let n(m) = 5*d(m) + f(m). Let c(a) = -a. Calculate i*c(k) - n(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -42, 2, -4 in increasing order.\nAnswer: -42, -4, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + z - 5 + 25, 52 = 3*t + 4*z. Let k be 3\/(t\/(-2))*0. Suppose -5*l - 5 + 15 = 0. Solve k = l*y - 2, -f + 0*f = -y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 12880 (c) 3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 67*b + 68. What is u(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 615563 = 1085*m - 1087*m, b = m + 205201. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-5)*15\/12. Suppose d*r + 2*f = -18646 - 10952, 5*r + 5*f = -29595. Round r to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 66*b + 4. Suppose 2*r - q - 2*q - 34 = 0, 8 = -2*q. Let d be o(r). What is the greatest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -0.4 (b) 1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (84 + 4*m**2 - 84)*(m - 4*m + m) to y*m**3 + t*m + p*m**2 + w and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-2)\/12*234\/6669\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58 - 6) + 62)*((-2)\/10)\/((-24)\/20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/14 - (-4)\/(-7). Let o = -1.1 + -3.9. Sort o, 5, w.\nAnswer: o, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/33 and -79\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 4, -9986, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 202*x - 11360 + 11360 in the form k + v*x and give v.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**6\/9 + 59*h**5\/120 + h**4\/24 - 20*h**3\/9 - h**2\/3 - 226*h. Let o(u) = 0. Calculate u.\nAnswer: -1, -1\/20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(60))\/(1*sqrt(972)))**2.\nAnswer: 125\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1312?\nAnswer: -1\/1312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84510*-3.\nAnswer: 253530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51\/308 - 1\/44. Let s = -8\/15 + 1\/5. Which is the third biggest value? (a) s (b) m (c) 0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -0.2 (c) -18 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1325 is divided by 73.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/(-24)*(-10)\/(-3) - 1. Solve -2*n + 4*v - 10 = 0, 0*v = -3*n - c*v + 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337\/5349 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, y: 7, q: 3, d: 2, k: 1}. Give prob of sequence ykqy.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 3*j**2 + j + 3. Let n be z(-3). Let y(t) = -t + 22. Calculate the smallest common multiple of 22 and y(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -2241 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4155510 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1659 - 1623. Calculate the common denominator of 1\/(-2) + (-183)\/66 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127487\/9 + -14165. Put 1, t, -2\/3, 11\/5, -1\/6 in descending order.\nAnswer: 11\/5, 1, t, -1\/6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/13)*u**(-3))\/(u**(-26)*u**(1\/5)) assuming u is positive.\nAnswer: u**(1502\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 5372236?\nAnswer: 5372236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 6*t - 5*t + (0*t + t + 0*t)*(-1 + 1 + 3)*(-6 + 1 + 3).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4)*-1 - (sqrt(38) - 3*sqrt(38))\/sqrt(2).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4616 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398120.413 rounded to the nearest 100?\nAnswer: 1398100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-4 - -7) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5 + 0 = 0. What is the remainder when (5 + z + 189)*1 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 - 118 = -4*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m - 3*h + 17, 2*m - h = -14. Let g = -4 - m. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/37 (b) 0.05 (c) 2\/3 (d) -3\/14 (e) 125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + 4.96. Let g = 73 + -68. Suppose -6*f = -2*f - g*h - 2, -3*f - 2 = -2*h. Which is the nearest to f? (a) -2\/11 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((612\/84)\/17)\/((-18)\/(-273))*348\/(-29)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 9. Let x = -3 + 2. Let g = x - -1.5. What is the biggest value in i, g, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0319 and 194637.4.\nAnswer: 194637.4319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o*o**(-37))\/o))\/o**(-12))\/(o\/(((o**(3\/28)\/o*o)\/o*o*o)\/o)*o**(-38)\/o) assuming o is positive.\nAnswer: o**(2439\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/6*6\/4. Suppose 27 = 4*w + 7. Suppose w = -4*l + 13. What is the greatest common divisor of l and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**4\/3 + 22*b**2. Let z(d) = 13*d. What is z(i(r))?\nAnswer: 104*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 109*o**4\/2 + 2*o**3\/3 - 58*o + 76. What is the third derivative of f(x) wrt x?\nAnswer: 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-31)*14*10\/70.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*b**3 + 399*b**3 - 193*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10401402 + -20?\nAnswer: 10401332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 183*r + 521. What is the hundreds digit of d(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27164 or 108659\/4?\nAnswer: 108659\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - -17) + (-225)\/(-7)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/73 in -3, -0.11, 2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*g - 4 - 6, -4*t = -5*g + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 12*f = 9*f - 8. Let r be -3*(-1)\/((-3)\/14). Let c be 4\/(-14) - (-10)\/r. Put f, 4, c in decreasing order.\nAnswer: 4, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22722712 is divided by 282?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33, 60, 65, 36, -39, -172, -375?\n\"Answer: -2*g**3 + g**2 + 38*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1008*o - 988*o = 280. Put 41, 1, o in descending order.\nAnswer: 41, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdcc when four letters picked without replacement from {c: 3, d: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 27 - 7. Suppose 127 = a*i - r, r - 84 = -3*i - 2*r. Suppose -23 = -2*y - 1. Calculate the remainder when i is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5170810 = 318*s - 5396648. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 20 = -4*r, 0 = -0*r - 2*r - 2*h. Suppose r*o + 15 = 5*o. Find the first derivative of o*g - 11*g + 17*g - 7 wrt g.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1551.90489 and 0.9957.\nAnswer: 1552.90059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 16*n + 4. Let a(u) = 2*u - 1. What is -5*a(h) - y(h)?\nAnswer: -26*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - -3 - (-172 + -127) is divided by 65?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**5\/20 - 7*t**4\/12 + 4*t**3\/3 - t**2\/2 + 37*t. What is i(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, k: 3, b: 9}. Give prob of picking 1 b and 2 t.\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m - 3. Let v = m - -7. Solve -2 = 4*u + v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -49. Suppose d*a = -4*a - 84. Let p(m) = -69*m - 17. Is p(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4843?\nAnswer: 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 6. Let b(x) = -x**3 + 4*x**2 + 6*x. Let u be b(5). Suppose -17 = 5*s + 2*m + 7, s - 6 = u*m. Determine w(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 39*b. Let y be w(1). Let v = -23 + y. Suppose -m - 3*r + 262 = m, 0 = m - 4*r - 120. What is the highest common divisor of v and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -66?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n - 21. Let t be y(5). Suppose -t*j + 6*j = 122. List the prime factors of j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6709.6 - -8.6. Which is smaller: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*v + 11*v + 19*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 5*x = -5*a + 5, -3*a = -4*x + 1. Suppose -a*k + 443 = 2*o, 8*o - 4*o + 2*k = 862. What are the prime factors of o?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 5*m + 25, -5 = -2*m - 5*o + 14 + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*m - 39*m - 37*m - 496*m**2 - 41*m + 138*m**2 - 41*m.\nAnswer: -358*m**2 - 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*r + 13. Suppose 0 = -2*t + 4*o - 18, -3*t + r*o = -10 + 41. Let f(k) = 2*k**2 + 13*k - 13. Let d(h) = h**2 + 6*h - 6. Determine t*d(s) + 6*f(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -108.8 and 0.061?\nAnswer: -6.6368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/16, -5, 1265, -0.5?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2631 divided by -877?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*z**2\/11 - 908*z\/11 - 182\/11.\nAnswer: 2*(z - 91)*(5*z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 372970733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(85) - sqrt(85))*2*-5)\/(-5*(2*sqrt(125) + sqrt(125)) - sqrt(125)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3*f + 83, 2*i + 65 = 6*i + f. Let j = -8 - i. What is the tens digit of 97\/2 - -1 - j\/48?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(4 - 7) + 517. Calculate the highest common factor of z and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.602 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*n + 2616*n**3 - 2617*n**3 + 4*n**2 + 76*n.\nAnswer: -n**3 + 4*n**2 - 139*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -166173, -333334, -501489, -670638, -840781, -1011918?\n\"Answer: -497*t**2 - 165670*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -705, -4177, -9969, -18075, -28489, -41205?\nAnswer: -56217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-20)*-12*3\/(-12)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76896)\/672)\/267 - ((-638)\/(-7))\/2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110859 to the power of 1\/2, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 247\/76*6960\/754?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 7 - (-2 - (2 + -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84588308 divided by -4273?\nAnswer: 19796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*k + 70*k - 2 - 79*k)*(-2 + 4 - 1) to the form g + x*k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, -108.6, -2, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2 - 2 - 9*a + 4. Let x be k(-6). What is the greatest common factor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, m: 1, p: 2, e: 1, n: 2}. What is prob of sequence ipme?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 14088*u\/7 + 7672832\/7.\nAnswer: -2*(u - 508)*(u + 7552)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*p - 4, -q - 2*p + 7 = 1. Suppose 0 = -v + 3*v + q, -3*v - 2 = -4*y. What is the nearest to y in -4, -1\/6, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/30 + 7*i**5\/60 - 167*i**4\/24 - 24*i**2 + 5. What is the second derivative of c(n) wrt n?\nAnswer: 24*n + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.779 (b) -1\/4 (c) -105 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -351 or 11?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 2*n - 3*n + (2*n - 1 + 1)*(-2 + 2 - 1) + 4*n + 8*n - 4*n in the form o*n + d and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -1\/7, -355.\nAnswer: -355, -28, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 147218465 to the power of 1\/3, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 6*j + 4. Let r = -6 - -12. Let b be c(r). Solve -17 = b*i - 3*u, i = 2*u + 2 - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -11265772?\nAnswer: 11265775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10350 is divided by 645?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1522 - 777 - 750 + r**2 - 8*r. What is t(15)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 57*s**2\/2 + 4*s + 12. Let u be r(13). Suppose 5*m - 205 = u. Calculate the highest common divisor of m and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 18.185832 hours?\nAnswer: 0.108249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 17. Let m = 5 + 0. Let z = x + m. What is z rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Let q = -1249886\/4407 + -1174\/339. Is q <= -288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 90 = -642. Let c be (-3)\/5 + w\/10. Solve 5*r + f = -c + 9, 0 = r + 5*f + 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.665 rounded to 1 decimal place?\nAnswer: 48.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 43, 57, 75, 97, 123, 153?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-414)\/20)\/(6273\/(-1394)).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 189673349\/8 and 23709170 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30\/7*s**3 + 2\/7*s**2 + 2*s**5 + 38\/7*s**4 - 4\/7*s + 0.\nAnswer: 2*s*(s + 1)**3*(7*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 39\/2, -3 in descending order.\nAnswer: 39\/2, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 + 22 + z**4 - 11 - z**2 + 4594*z - 7 - 4790*z in the form q*z**4 + y*z**3 + o*z**2 + h + j*z and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*w**2 - 23*w**2 + 175*w**3 - 22*w**2.\nAnswer: 175*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -13*f**3 + 32*f**3 + 2*f**3 + 7 + 12*f**3 - 2. Let x(u) = -17*u**3 - 2. Give 2*s(m) + 5*x(m).\nAnswer: -19*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1412153, -32, 2 in decreasing order.\nAnswer: 1412153, 2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 4*t**2 + 5*t - 3. Let j be x(-5). Let o = -4 - -3.96. Let w = o + 5.04. Which is the second smallest value? (a) w (b) -2\/15 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -37. Let u(n) = 10*n**2 - n - 5. What is the tens digit of u(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 1, b: 1, k: 3, p: 1}. What is prob of picking 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*l + 105*l - 58*l. Let p(i) be the first derivative of l*i - 1\/3*i**3 + 0*i**2 - 3. Let g(n) = -2*n. Calculate p(g(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1867566 and 894.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - -33. Suppose x - 27 - j = 0. Let c = x + 44. What is the remainder when c is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4362263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l + 1 - 4 - 6. Let q(v) = 5 - 5*v + 3 + 0. Give 6*p(t) + 7*q(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v - 5. Let a be h(-4). Let l(y) = -y**2 - 3*y + 1. Let i be l(-3). Let g = 3 + i. Put a, 2, g in ascending order.\nAnswer: 2, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 223312430?\nAnswer: 223312432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.099? (a) 0.03 (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*i**2 + 3*i + 2)*(4 - 4 + i**2)*(0 - i + 0).\nAnswer: 2*i**5 - 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.8 (c) -228\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-510)*24)\/(7\/(-9)*12\/210)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20613.\nAnswer: 3, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.5 (c) -1 (d) 1.2 (e) -6799\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -34, -24, -12, 2, 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-9\/8)\/h**22 assuming h is positive.\nAnswer: h**(-185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-2)*k))\/(k**(-7\/3)*k*k))**(9\/2)*(k\/k**2*k**6\/k*k)\/(k\/(k\/k**1))**27 assuming k is positive.\nAnswer: k**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384, 378, 370, 360?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 7, d: 6, k: 4}. Give prob of picking 2 k.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -b5a67a (base 15) to base 11\nAnswer: -4972508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 13. What is the second derivative of -7*u + 16*u**2 - 16*u**2 + 5*u**a wrt u?\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2339397 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-11 - -12) + -1 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152459244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**4 - 45*t**3 + 75*t**2 + 265*t + 150 = 0.\nAnswer: -10, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3*l + 125 = 3*w + 11*l, 10*w = -5*l + 55 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 945590 smaller than 945762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24156, 48303, 72458, 96621?\n\"Answer: 4*x**2 + 24135*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 - 3. Let f = 16 + -15. Let c be -1*(f + -3 - -3). Sort c, h, 4 in descending order.\nAnswer: 4, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a gram in milligrams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -568 (base 10) to base 15.\nAnswer: -27d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.5 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 53426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 11. Let k be 3 + (-4)\/(-8)*0. What is the second derivative of -3*h + 2*h**5 - h**5 + k*h**q wrt h?\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5441*z = -5397*z + 528 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -22. Suppose w - 4*n = 2*w + 15, 0 = w - 4*n - f. Let i = -0.4 - 0. Sort w, 0.2, i.\nAnswer: w, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -194*f - 4*f**4 + f**2 + 51*f + 15*f**6 + 5*f**6 - 102*f + 13*f**4 wrt f?\nAnswer: 2400*f**3 + 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-3*w - 3*w + 4*w)*(-3 - 2 + 4).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**4\/4 - 5*z**3\/3 - 5*z**2\/2 - 7*z - 1. Let b be v(6). Suppose -3*n + 3 = -6. What is the second biggest value in 5\/4, b, n?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31245912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3*w**2 + 3 - 1 + (0 + 0 - 3*w)*(-3*w - 2*w + 3*w).\nAnswer: 9*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/7385 and -9\/1438598.\nAnswer: 7192990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by -14 - -35 - 13 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2587 - -1158977\/448. Let u(v) be the third derivative of 1\/280*v**7 + 12*v**2 - n*v**8 + 0*v**3 + 0*v + 0*v**6 + 0*v**5 + 0*v**4 + 0. Factor u(r).\nAnswer: -3*r**4*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2428*n + 6*n**2 + 2428*n + 1 - 1 - 2*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 5:40 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.05+-95\nAnswer: -95.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, j: 2, u: 2, b: 2}. Give prob of picking 3 e and 1 j.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j - 13*j - 249 + 2*j.\nAnswer: -3*j - 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2632 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 420 = -330. Suppose -162 = -4*q - j. Solve 0 + 8\/5*p**2 - 2\/5*p**q - 6\/5*p = 0 for p.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 4 - (0 - 0) - -30.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 5, -1\/6, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1836, -2877, -3278, -3039, -2160?\n\"Answer: 320*n**2 - 2001*n - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8387.9 to the nearest 100.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 25 = -11*b. Let w = -18 - -9. Let q be w\/6*b\/6. Sort 9, 1, 0, q in increasing order.\nAnswer: q, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 17\/(-68)*232\/(-1)?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a**2 - 3*a - 1. Let z(n) = 9*n**2 - 4*n - 1. Let y(d) = -6*h(d) + 5*z(d). Give y(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1494*g + 25*g - 368*g = 86325. Calculate the remainder when g is divided by 0 - (-31 + (-2)\/(-1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-6\/5)*a)\/(((a*a*a**7*a)\/a)\/a) assuming a is positive.\nAnswer: a**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -276 - -271. Suppose r - 2*r + 1 = 0. Let b be 1\/(0 - (-2)\/10). Sort r, g, b in increasing order.\nAnswer: g, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 555 or 82824?\nAnswer: 555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 2*f - 5. Let r be w(-4). Suppose -5*n + 2 = -r. What is the second derivative of 0*z**3 - 1 + 3*z + n + 3*z**3 wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*g - 28, -5*o + 2*g - 8 + 36 = 0. Let l be o\/((-4)\/(3 - 7)). Solve -l*n + 21 - 5 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 8 + 905. Is w >= 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + (-24 - -5) + 15 - 8) + -15?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(245) + 1*sqrt(245))*6 - (-4*(-1 + sqrt(245) + sqrt(245)) + sqrt(245) + (1 + sqrt(245))*2))**2.\nAnswer: 2604*sqrt(5) + 235481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 1735836.\nAnswer: 12150852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 34 - 5 - 48 + 12*w - 14*w to the form o*w + m and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h = 15, c + 25 = -5*h. Suppose c = -5*n - 8 + 28. Solve -6*o + n*o + 4*z + 12 = 0, -5*o + 18 = -4*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l\/(l\/(l\/l**13*l)))\/(l**(-7)\/l*l**(-1\/18)*l) assuming l is positive.\nAnswer: l**(37\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 0*b**2 - 1 + 3*b**2 - 4*b**2 + 24. Suppose 0*t = -t. What are the prime factors of x(t)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.077 smaller than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 43 - 16*f**3 - 43 - 4*f**3.\nAnswer: -23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 69*j**2 + 463*j + 31953. Calculate g(-69).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 24. Let x be ((-87)\/(-63) - 2) + 182\/637. What is the nearest to -0.1 in c, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3908373 is divided by 217130?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a = 198. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(2\/1)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iimm when four letters picked without replacement from uiimmimuiimm?\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1413 = 9*u - 7920. Let h = -763 + u. Let m be (-1)\/((-83)\/(-41) - 2). Does h = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-14))\/((-50432)\/(-11032))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29, -56, -85, -116, -149?\n\"Answer: -u**2 - 24*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90640 and 6283.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -487 + 16\/(-20)*(-15)\/(-6). Let p = -485 - x. Solve 5*q = -g + 19, 8 = -5*q - p*g + 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 8:18 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -2*a + 54. Suppose 84 = -a*c + 148. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 - -155. What is the fourth smallest value in 4, -1\/9, w, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121121 (base 3) in base 14?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 - 1. Let r = -0.15 - -0.35. Sort r, -5, c.\nAnswer: -5, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and (-19460)\/(-280) + 5\/2.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 114*t**2 + 6*t - 6. Let r(j) = j. Let y(u) = -n(u) - 2*r(u). Let o be y(-7). Let b = o - -55297\/10. Find the common denominator of b and 49\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from zhzhttttzt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p - 2, 0 = 4*q - 4*p - 4. Suppose 4 = 4*s, q = z + 2*s - 4*s + 1. Let d = 71 - z. What are the prime factors of d?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*s**2 + 267*s - 267*s)*(4*s**3 + 3*s**3 - 5*s**3) + (s + 3*s - 3*s)*(0*s**4 - s**4 - s**4).\nAnswer: 60*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1793 is divided by 822?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160152132 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k. Let m(x) = 12*x**2 + 34*x - 34. Let z(b) = b**2 + 3*b - 3. Let p(l) = -6*m(l) + 68*z(l). Determine a(p(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -974 - -2924\/3. Let c(i) be the third derivative of 0 - 1\/15*i**5 - j*i**3 + 5*i**2 + 0*i + 1\/3*i**4. Factor c(v).\nAnswer: -4*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**2 + 84*a + 21. Let u be p(17). Solve 2*s = 2*r - u, 5*r + 11 = -5*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**3\/6 + f**2 + 11*f - 5. Calculate q(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49166 is divided by 734?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -0.10947.\nAnswer: 0.0076629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436, 846, 1260, 1678, 2100?\nAnswer: 2526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/3852 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2508)\/(-152) + -16)\/((-1)\/(-40)*34).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97948914 to the nearest integer?\nAnswer: 9897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 941719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/3)*p*p\/p**(-1\/10)*p\/(p\/p**(-7))*p**(-3)*((p**(-2)*p)**18)**21 assuming p is positive.\nAnswer: p**(-11567\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 685.4, -0.11, 1\/2, -2, -8 in decreasing order.\nAnswer: 685.4, 1\/2, -0.11, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436585*c - 872742*c + 7*c**2 + 436157*c.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*r + 194, 0 = 5*b + 2*r - 3*r - 233. Suppose 23 = -3*u + b. Calculate the remainder when 0 - (-47 - 0\/2) is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {l: 6, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26514110 rounded to the nearest 10000?\nAnswer: 26510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -13*d**3 + 44*d**2 - 40*d + 59. Let y(u) = -7*u**3 + 23*u**2 - 20*u + 30. Let o(a) = 6*k(a) - 11*y(a). Calculate o(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 23. Calculate the remainder when 918\/33 + 2\/11 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 25 (c) -2\/3 (d) 6\/5 (e) -294 (f) 1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010809952 to five dps.\nAnswer: -0.01081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 40236 + 38054. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -7) + -5 - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.725991 - 0.725. What is y rounded to 5 decimal places?\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50666501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*4 + 2\/(-1). Let b = t + -1. Differentiate -5*u**3 - b + 3 + 4*u**3 + 3*u**3 wrt u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 5156 = 13*b. Suppose -18 = -2*a + 6. Calculate the remainder when b is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 14*d = -126. Suppose d*w + 81 - 2405 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/10)\/(2\/10). Let g(x) = 8*x - 2 + 2 - 1 + 0. Let b(m) = -4*m + 3. Let i(t) = 7*t - 5. Let p(v) = -5*b(v) - 3*i(v). Calculate h*g(a) + 5*p(a).\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179087\/24 - 7462. Let b = -101\/6 + 863\/50. What is the common denominator of b and v?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 - 5*j**2 - 7*j - 8. Let k(b) = -12 - 8*b**3 + 3*b + 7*b**3 + 5*b**2 + 6*b. Let o be k(6). What are the prime factors of h(o)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*l - 7. Suppose -l*g = -3*g + 3. Let j be g\/(-12) + 21\/4. Solve 5*w + 5 = 0, 2*w - 8 + 5 = -j*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -248\/3*b + 0 - 58\/3*b**2 + 1\/3*b**3.\nAnswer: b*(b - 62)*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/27))\/w)**(2\/73) assuming w is positive.\nAnswer: w**(4\/1971)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = 6. Suppose -j = -o + 1. What are the prime factors of 14\/o + (4 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 3*l + 3, 3*l - 9 = -t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1025*l**3 - 10*l**2 + 2*l + 999. Let x(w) = -w**3 - 5*w**2 + w. Let b(t) = -2*u(t) + 4*x(t). What is the derivative of b(i) wrt i?\nAnswer: -6162*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) -0.02 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*r - r + 28, 5*a = -10. Suppose -2*s + s = 9*s. Solve s = 3*m + l - 4 + 3, r*m - 15 = l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 12*o**2 + 4*o + 122. Let r be m(13). Solve r*c = -5 - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11290060*r**3 + 6803444*r**2?\nAnswer: 67740360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8881.03ml to litres.\nAnswer: 8.88103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = 0. Let w be (h + -1)\/((-5)\/10). Let c = 113 + -111. Solve 3*v - 21 = w*p + p, -c*p - 3*v + 6 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*p + 16*p + 42. Suppose 0 = -5*f + y, -23 = -2*f + p*y - 2*y. Let b(j) = 6*j - 2. What is b(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21784251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((76 + -124)\/(-1728))\/(5\/(-40))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -28 + (-6 - (16 - 33))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 878713 a multiple of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 19490.073 to the nearest 100.\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 67 - 11*k**2 + 9*k + 2*k**3 - 114 + 60. Let q(j) = 3*j**3 - 17*j**2 + 14*j + 19. Let g(z) = 7*l(z) - 5*q(z). Give g(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53276115.\nAnswer: 3, 5, 37, 59, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebg when three letters picked without replacement from {e: 1, k: 1, g: 4, z: 1, b: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = n - 13, 0 = x - 4*n - 18 + 82 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 21*i - 38. Let o be m(19). Suppose -v - 12 = v. Let k = -9 - v. Sort k, -1, o in descending order.\nAnswer: o, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - r**2. Let g(z) = -3*z + 9. Let k be g(-7). Suppose 6 = -32*h + k*h. Determine t(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 12:42 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110010100 - 10011100001?\nAnswer: -1111001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1983134892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 95*v - 451. Let n be i(4). Let m(f) = -13*f**2 - 2*f. Let r be m(-3). Let q = n - r. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 53 = 25*h - 114 - 53, 3*h = -5*p + 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.79115 kilograms in micrograms?\nAnswer: 95791150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 10071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from vvvmlmvvvv.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-11)*n*n))*n**(-1\/4)\/n*(n**(1\/6))**(-1\/36))**(-2\/43) assuming n is positive.\nAnswer: n**(2215\/4644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 11*m + 52. Let f(x) = 13. Let p(t) = -4*f(t) + s(t). Let z(i) = i + 7. Calculate z(p(w)).\nAnswer: 11*w + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1556.301 plus -1037?\nAnswer: -2593.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 111*g**2 - 462*g - 576.\nAnswer: -3*(g - 32)*(g - 6)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1124875242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 620 and 883800?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 8:52 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 - 4*n**2 - 6*n + 0*n**2 - 8*n**2.\nAnswer: -3*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**4 - 1135*t**3 + 20140*t**2 - 79460*t + 87360 = 0.\nAnswer: 2, 3, 14, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*d**3*l + 2144*d**3 - 2*d**2*l**2 wrt l?\nAnswer: 20*d**3 - 4*d**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) -4 (b) 2\/7 (c) -2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3*(1220\/854)\/((-6)\/35)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355\/4*(-39)\/((-22620)\/(-464))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -41827 to the nearest one hundred.\nAnswer: -41800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 0.3 (c) -10\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.762\nAnswer: 0.1524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 714003 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3380656.\nAnswer: 2, 211291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/15 - 148*c**3\/15 - 302*c**2\/15 - 152*c\/15 = 0. What is c?\nAnswer: -1, 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -10 (c) 1\/2 (d) 1\/4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20418470*f**4*t - 2*t + 15026099 wrt f?\nAnswer: 81673880*f**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - 13*q + 4. Let u = 6595 + -6591. Let b(k) = 2*k**2 + 13*k - 3. Determine u*b(t) + 3*h(t).\nAnswer: 2*t**2 + 13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - -43. Suppose 0 = -d*x + 55*x + 12. Solve -z - 6 = -g, 3*z - x*g - g + 26 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 341 = 18*g. Which is the fourth biggest value? (a) -1\/9 (b) g (c) 1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/44*(-31844)\/(-6285).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-2 - (1 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 13*o**2 + 5*o - 5. Let w be k(2). Let r = w - 32. Solve 0 = -5*y + 5 - r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4659359105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389 + 1.27?\nAnswer: 2390.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-35 - -33) + 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 1492280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8573 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283793 is divided by 30651?\nAnswer: 7934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21414*k**3 + 309 + k - k - k - 21413*k**3 - k**2 to the form a*k**2 + g*k**3 + v*k + r and give r.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d8 (base 16) to base 10.\nAnswer: -2008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 759 and 39721?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 + 2 = -g, -5*g + 1 = 2*t. Solve -3 = j, t*j - 5 = -5*n - 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z - 3*z + 9*z**3 - 4*z**3.\nAnswer: 5*z**3 + 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0556 - 0.05560537. What is v rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*a - 2*z - 16, 3*a + z = 12. Suppose 4*w + 3 = 11. Suppose 3*r = 4*v - 26, -2*v + 3 = -w*r - 11. Put a, v, 3 in increasing order.\nAnswer: 3, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 6. Let o(k) = 3*k + 21. Give u(o(j)).\nAnswer: -3*j - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1463521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 781 times -61.38\nAnswer: -47937.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 3*b - 1)*(-26 + 6 - 7) + 3*b - 3*b - b)*(-2 + b - 4*b + 5*b)*(-4*b + 5*b - 2*b) as i*b + h + p*b**2 + w*b**3 and give w.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4, 4*f - o = -2*o + 10. Suppose 0*v + v = -b + 12, f*v = -3*b + 31. Suppose -9*a - 8*a + 3*a**2 + b*a - 8*a = 0. What is a?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 237*r + 3762. Calculate the lowest common multiple of 9 and g(-13).\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - 11) + 169 - (4 - 0 - -1 - 1)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 4*l + 21. Let v be o(6). Differentiate -13 + v + 24 + 0*y**4 + 3*y**4 - 2*y**3 wrt y.\nAnswer: 12*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1654 + 1515 = 4*a + 1057. Calculate the smallest common multiple of 80 and a.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 0.167 (c) 2\/5 (d) -3\/2 (e) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -14414?\nAnswer: 14414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51031618 and -4897.\nAnswer: -51036515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7593*j**6 + j**3 + 3*j**2 - 335*j?\nAnswer: 911160*j**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.2 + -12.9. Sort -5, -1, -6, t in decreasing order.\nAnswer: t, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 6*f**2 - 5*f + 2. Let r be t(-5). Suppose p = -1, -2*w + r = 2*w - 2*p. Solve 2*c + k + 0 = 8, 3*c + 4*k - 22 = w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 1, q: 2, m: 1}. What is prob of picking 1 o and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13352, 13353, 13354?\nAnswer: 13355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 0*t + 4*t + (-1 + 4 - 1 + (-4 - 3 + 6)*(-2 + 3 + 3))*(3*t + 0*t - t) to w + i*t and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 3, w: 3}. Give prob of sequence nw.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 + 6*s**2 - 47*s**3 + s**2 + 39*s**3.\nAnswer: -8*s**3","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 mdmdddmdddmmmmddmm?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2 - 9594*d + 23011209 = 0 for d.\nAnswer: 4797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1476\/(-1353))\/(4\/(-22)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66095 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/31, -457, 7?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (-45 - (-62 - -29)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137552897*h**3*k**2 - 7*h**2*k**2 + 8*h*k**2 - 4480*h*k + 3*k**2 - 3 wrt h.\nAnswer: 825317382*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, -3, 1, -1\/78?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -79912.99 rounded to the nearest one thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 7:23 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/28)\/(-23 - (-40 + 42 - 24))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 5*m**4 - 2*m**4 + (2*m**3 + 4 - 4)*(-10*m - 12*m + 6*m + 0*m - 3*m + 2*m + (m - 3*m + m)*(1 - 2 + 3)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 267568111.\nAnswer: -53513622.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 2*(-1)\/(-2). Suppose 0 = r*n - 5*b - 125, 46 = 2*n - 0*b - b. Calculate the greatest common factor of 147 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*((-6*1*sqrt(425))**2 - (sqrt(425) + 1*sqrt(425)*-5 + sqrt(425))**2) + 0.\nAnswer: -45901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 7*z + 4. Suppose -3*y + 35 = 2*y. Let h be m(y). Let j(a) = -a. What is j(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/961556 and -75\/376826.\nAnswer: 27885124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1573 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 2*x - 4*x. Let d = x + -18. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9*(c**(2\/7)\/c)\/c)\/(c\/c**(1\/3)*c)**48 assuming c is positive.\nAnswer: c**(-509\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + a41?\nAnswer: a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 + 180 = -25*j - 486 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00517099948 rounded to 4 decimal places?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 2*w - 4. Let z(k) = k**2 - k + 1. Suppose -2*g + 10 = 3*g. Let v(j) = g*z(j) + s(j). Give v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-135) - (2\/6 + 0).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83877908731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25912185, -25912188, -25912191, -25912194?\nAnswer: -25912197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.17 + -3.83. What is the third smallest value in x, 2\/3, -1\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14 + 8 + (-957)\/(-114) and 71\/20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60678412, -60678411, -60678410, -60678409, -60678408?\nAnswer: -60678407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 2, 412, 2\/13, 0, 0.4?\nAnswer: 412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 297394 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5 + 75*p**4 + 159*p**3 + 81*p**2.\nAnswer: -3*p**2*(p - 27)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.8 + 18.8. Which is the nearest to -1? (a) -0.06 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13596493?\nAnswer: 127, 151, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/12 and -83\/210.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*j - 1066 = 909, 0 = -2*h + 5*j + 783. Let x = 619 - h. Is 25 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22827 - 22832 = 5*n, -2*c + 5*n = -19 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 + 147a?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-480.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-39)\/(-63))\/((-1)\/4). Let h = -7\/3 - n. Let g be ((-1323)\/54 + 25)*10. What is the fourth smallest value in -2, g, h, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 38.31869cm?\nAnswer: 0.0003831869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) -49 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-88) + (-69)\/33?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-1 + -2)) + (-36 - -41) - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14.6 * -79630\nAnswer: -1162598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/23 + 1672\/184.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136 - -137. Let i(x) = 6*x**2 + 1. What is i(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73476951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 399*v**2 - 2*v + 0*v**3 - 566*v**2 + v**3 + 1 as a*v + w*v**2 + s + q*v**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*j = -59 + 10, 3*o - 63 = 3*j. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvqaqajajjqqj. Give prob of sequence jva.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -21 - (5 - 11)) + -21 + 18?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.87 - -0.83. Let m = u - -0.3. Let i = 10.0022 - m. What is i rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101010011111011001000000 - 101?\nAnswer: 1001101010011111011000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -48.27. Round j to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -14*l + 78 - 10*l**2 - 95 - 113*l**3 + 2*l + 112*l**3. Determine g(-8).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i*o**4*w + 5927*i*o**3*w - 22*i*o - 3170*i*w + 227*o**3 + 4*o**2 wrt o?\nAnswer: -48*i*o*w + 35562*i*w + 1362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*d + 48, 3*d - 151 + 48 = -4*o. Let r = -41 + 70. Calculate the remainder when r is divided by -3 + o*16\/20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/(u*u**4)*u)\/u*u**(2\/9)*u\/u**(2\/25)*u*u*(u\/(u*(u*u*u**(4\/13))\/u*u*u))\/u assuming u is positive.\nAnswer: u**(-12184\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370, 744, 1118, 1492?\nAnswer: 1866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276 (base 8) to base 16.\nAnswer: be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/((-24)\/4) + 4 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, g: 2, i: 2, j: 1}. What is prob of picking 1 j, 1 i, 1 g, and 1 z?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21429939 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**7\/35 + o**5\/12 + o**3 - 37*o**2. What is the third derivative of s(t) wrt t?\nAnswer: -144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (0 + -4 + -3). Suppose -5*a + 2*n - n + 83 = 0, -p*a - 3*n + 74 = 0. Let t = a + -14. Solve 0*h + 2 = -h - 5*z, -8 = -t*h - z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l - 52*l + 3*l**2 + 0*l**2 - 26*l.\nAnswer: 3*l**2 - 58*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 603554543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*(-4)\/8)\/((-202)\/808).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.7 and -14546568.15?\nAnswer: 14546568.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4 = -x. Let q be (-7)\/6 + x\/(-6). Let d = -0.948 + 1.148. Which is the nearest to 1? (a) 4 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 2:12 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**6\/720 + q**4\/12 + q. Let s(i) be the third derivative of t(i). Let x(j) = -j**2 + 6*j**2 - 2*j**2. Give s(x(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4951108083.\nAnswer: 3, 1650369361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y + 3*m - 608 = 0, 5*y = 3*m + 733. Is y*31 - (-20)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.1 - -32. Let d = -1.69 + 1.65. What is the nearest to 0 in n, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 p when four letters picked without replacement from {d: 2, p: 5, a: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 82513*b*i - 5*b + i**2 + 4306 wrt i?\nAnswer: 82513*b + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1029109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 4:08 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 376 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - (1 - 4)) + -4. Factor v*p**2 + 0*p**4 - 3*p**4 - 2 - 2*p**4 + 3*p**4.\nAnswer: -2*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102706984 to the nearest integer?\nAnswer: 10134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1683 = w, 68 = -w - 2*b + 1750. List the prime factors of w.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - 5) + (-4 - -1). Suppose i = -2*k - q + 33, 4*q + 7 = k - 23. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.063*398\nAnswer: -25.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.60695 millimeters to micrometers.\nAnswer: 93606.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6994394*-0.4.\nAnswer: -2797757.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -39, -0.5, -0.67?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**2 - 9*q - 1. Suppose -5*c + z + 35 = 0, -4*z + 0*z = -20. Let y(l) = 11*l**2 - 14*l - 1. Let h(x) = c*o(x) - 5*y(x). Factor h(g).\nAnswer: (g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1018 and 2733974?\nAnswer: 1391592766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4084*q - 4084*q + 28*q**2)*(-4*q + 4*q - 2*q) as b + u*q**3 + p*q**2 + h*q and give u.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 526457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**4\/12 - 2*i**2. Let p = 21653 - 21631. Let s(u) be the first derivative of -5*u**2 + 1. Determine p*z(t) + 4*s(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 10*i**3 + 15*i**2 + 2 - 23*i**2 in the form f + q*i**3 + v*i + u*i**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17893530 and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 281.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 376\/3 - 251\/2. Which is the closest to 2? (a) -3\/5 (b) 0.19 (c) w (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 299*u - 288. Calculate y(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 3. Let m(w) = 55*w**2 - w - 2. Let o(s) = -m(s) - 2*q(s). What is the second derivative of o(p) wrt p?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 30*g**3 - 725*g**2 + 810*g - 115 = 0.\nAnswer: 1\/6, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 i, and 1 e when three letters picked without replacement from {d: 1, e: 1, u: 1, o: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326225?\nAnswer: 5, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(99))\/sqrt(9).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*t + 3 + 762 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148 + 170. Let p be 33\/u*2\/(-93)*4. Is -2\/7 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + u. Let p = 3 + -6. Let z be (-2)\/p - (-24)\/18. Suppose 0 = z*v + 6 - 4. Calculate m(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 0 - 110\/130. Sort -0.4, x, 0.2.\nAnswer: -0.4, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1284, -5445, -12468, -22353, -35100?\nAnswer: -50709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u**4 - 4*u**3 - 9336*u**2 + 32256*u + 787968 = 0. What is u?\nAnswer: -24, -8, 57\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -44.8714524 and 262?\nAnswer: 306.8714524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1 + (11 - 8). Suppose 0*j = j - n. What is the derivative of q**j + 4 + 0*q**2 - 2 - 2*q**2 wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48512)\/(-3) + 0 - (-916)\/(-1374). Suppose 43*t = 13*t + s. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8454? (a) 0.172 (b) -3 (c) 5 (d) 1\/2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 1. Let n(j) = -2*j. Let c(z) = -5*n(z) + 3*q(z). Determine c(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -51. Let p = 83 - x. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9353.48 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -366256005.3 rounded to the nearest one hundred thousand?\nAnswer: -366300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-1 - -1)) + (-23 - -26).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*(-1 + 4 + 4)*(3 + 3 - 4)*(-p - 1 + 1).\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5296620 to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11655 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6045 and 1576815?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44814 + -0.0414?\nAnswer: -0.48954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -641 (b) 5 (c) 2\/5 (d) -0.4 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107 and 5184043?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 303735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**2 - 16*s**2 + 5*s**2 + 8*s + 12*s**2 to the form z*s + w*s**2 + q and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.7 - 5.6. Let g = 1.2 + -1. Let j = g - -0.8. What is the nearest to j in 1, d, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30438, -60761, -91118, -121521, -151982, -182513?\nAnswer: -213126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 0.3 (b) -0.5 (c) -6 (d) 13\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 2, 60, -3 in descending order.\nAnswer: 60, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*v + 2. Let d be 6\/28*(v - 3). Which is the nearest to 0.1? (a) d (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 18 = 4*z - b, 0 = -5*z + 3*b + 14. Solve -y + 3*y = -z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 2*v = -273 - 2, 55 = 6*o + 4*o + v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 320 + -672. What are the prime factors of 4\/18 + d\/(-36)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 3, o: 2, b: 6}. Give prob of picking 1 o and 2 b.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6988229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*o + 197 = 0, -434*n + 4*o = -448*n + 128 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25615 and 981?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 34*z**2 + 97*z - 95. Is s(37) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -863 times -1\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8846 and 228?\nAnswer: -2016888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -2 + 0 + 837. Let t = -527 + j. Suppose a + a + h - t = 0, -4*a = -3*h - 640. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b4 (base 16) to base 7.\nAnswer: -1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*f + 118*f - 151*f - 95 in the form c*f + b and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p = 5*j - 15, 0 = 5*j. Which is the nearest to 0? (a) 6 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-468)\/(-208))\/(315\/196)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*(180\/(-8))\/9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 4*k - 7. Calculate b(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 738 and 36.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + -1 + 19 + 3\/1. Suppose -j = 4*j - 95. Is n at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 - 1708874*u**2\/3 - 6835480*u\/3.\nAnswer: -u*(u + 4)*(u + 1708870)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 8 = 3*k, 0 = 5*k + 22*l - 17*l. Solve -3*q - k = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 13*j - 11*j - 408*j**3 + 365*j**3 in the form l*j**3 + n*j + h + o*j**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 144 = 6*z. Solve -k - 5*n + 10 + z = 0, -4*n = -2*k - 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, -40, 108?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19597003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16032.992093 + -16033. Round f to four decimal places.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 2*k**2 + 13*k + 12. Calculate the lowest common multiple of h(-5) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07797 rounded to 3 dps?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 593 = b + 575, -5*b = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28816?\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4554*y**2 - 479*y + 5723588 with respect to y.\nAnswer: -9108*y - 479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -4.3. Let x = c - 4.5. Put x, -5, -1\/5 in decreasing order.\nAnswer: -1\/5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*a - 80*a - 3399 - 2235 = 0 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Suppose 0*a = -2*n + 2*a + i, -5*a = 5*n - 15. Suppose -n*y = z + 1 - 11, -4*y - 30 = -3*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 578 - 532. Is u a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*f - 33, -4*f - 2*r = -55 - 7. Let g(s) = 23*s + 35. Calculate the smallest common multiple of f and g(11).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 5:31 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 8 - (104 + -110).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 507*l**7\/14 - 4423*l**4\/6 - 12113*l. What is the third derivative of u(i) wrt i?\nAnswer: 91260*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44a (base 15) to base 7.\nAnswer: 2554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**2 - 1000*z - 28125 = 0?\nAnswer: -25, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8111 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73661.209 + -4.94.\nAnswer: 73656.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, c: 3}. Give prob of sequence sc.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9\/31 + 2863\/465. Let n be (-1 - 2)*34\/18. Let s = n + u. Sort -0.4, -1, s in increasing order.\nAnswer: -1, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 3548622?\nAnswer: 3548623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 7:21 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(0 + 2)*((-115674)\/(-14460) - 8). Is d not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1226208809\/43060 + -2579\/4306. Let z = g + -28482. What is the common denominator of 25\/14 and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*n*s**2 - 1363*d*n*s - 266*d*s**2 + 736*d - 2*n*s**2 wrt n.\nAnswer: d*s**2 - 1363*d*s - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-1))\/(0 - 1). Let u = 27 - 15. Let y be ((-6)\/3)\/(-6)*u. Solve -3*s + 28 = 5*a, -21 = y*s - p*a - a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (44\/55)\/((-2)\/295). Let x = n + 173. Suppose i + 220 = 4*u + 6*i, -3*i = u - x. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/63? (a) 5\/4 (b) -51\/2609 (c) 2 (d) 1 (e) 2\/5 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - 20*l + 34. What is b(8)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(432) + -1.\nAnswer: -6 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92\/7, -3, 3, -1\/5, 2.\nAnswer: -3, -1\/5, 2, 3, 92\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*g = 46, -5*w + 25 + 53 = 4*g. Let c be (w\/(-8))\/(1\/(-12)). Let p(m) = -5*m**3 - 7*m**2 - 8*m - 2. Let o be p(-1). Solve -o*z = c - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p + 21 = -37*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(99)\/((sqrt(9)*4 - sqrt(9))*-4).\nAnswer: -3 - sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6493775?\nAnswer: 5, 259751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g + 70. Let y be i(13). What is the remainder when 165 is divided by (y\/24)\/(1\/60)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 40*m - 40*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -27. Solve 5*f + b*s = -35, 5*f + 4 + 11 = 2*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282495 is divided by 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (37\/(-111))\/((-2)\/180). Suppose -14*s = -4*s - g. Solve 38*u + s = 41*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (6 - (11 - -1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6e - 7?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28482, 113891, 256230, 455493, 711674, 1024767, 1394766, 1821665?\nAnswer: 2305458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 788*f - 798*f = -38090. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 2*c**2 - 4*c - 4. Let v(s) = 906*s - 4. Let z be v(0). Let m(d) = 2*d**2 + 3*d + 3. What is z*m(n) - 3*j(n)?\nAnswer: 3*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5971, 6069, 6249, 6523, 6903, 7401, 8029?\nAnswer: 8799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1616*z + 1980 = -1634*z for z.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -870, -1556, -2296, -3114, -4034, -5080, -6276, -7646?\nAnswer: -9214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.27450497 rounded to three dps?\nAnswer: 21.275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*t + 16 + 18, 0 = -4*r + 5*t + 58. What is the greatest common divisor of 60 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(12\/14) - (-9 + 14). Solve 7*g + k = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3*6 + (-688)\/(-4). What is the highest common divisor of 112 and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - y + y**2 + y)*(-39*y**2 + 455*y - 455*y).\nAnswer: -39*y**4 + 78*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112000202 + 102?\nAnswer: 112001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3668\/5, -8, -0.1, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 - 6*h - 10. Let d(p) = 5*p**2 - 12*p - 18. Calculate 6*d(t) - 11*o(t).\nAnswer: -3*t**2 - 6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5203.886 days to nanoseconds.\nAnswer: 449615750400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 737128 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p**4 + 13878*p**3 + 32*p**2 - 2*p - 118?\nAnswer: 120*p + 83268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1569*n + 7235 = 1633 - 10882 + 794 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - j + 0)*(3*j + 0*j - 2*j) + (-2*j**2 + 2 - 2)*(8 - 3 + 1) + 2*j**2 + 0*j**2 - 5*j**2.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/36 and 57\/560.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5745 - -2545?\nAnswer: 818a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 14 = -17*w. Suppose -736 = -w*d - 12*u + 8*u, -730 = -2*d + 2*u. List the prime factors of d.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 892*t - t**3 + 8 + 892*t - 3*t**2.\nAnswer: -t**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 2087182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 57*v**2 + 49*v + 579. Calculate u(-28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 243*o**2 - 47*o + 45. Calculate l(1).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -2\/13 (b) 5 (c) -0.103 (d) -1\/5 (e) 1311\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114882612893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 3. Let f be (-24)\/(-4)*(-2)\/4. Let k be d(f). Put 4, k, -4 in decreasing order.\nAnswer: 4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88881 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/3 - 2051*v**4\/3 + 1399450*v**3\/3 - 315778150*v**2\/3 - 1292714875*v\/3 + 1607095625\/3 = 0. What is v?\nAnswer: -5, 1, 685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87473*v**5 + 381*v**4 - 75*v**2 + 1907419?\nAnswer: -5248380*v**2 + 9144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*i + i + 139 = 0, 3*i - 183 = -4*y. Solve 36*j**3 + y*j**3 - 91*j**3 - 5*j**4 = 0 for j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or -108145?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 26 (c) -5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*r + 64 = 0, -70 = -0*m + 3*m + 2*r. Let q be (-420)\/m + 2\/(-13). Let f = 10 + q. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 9) in base 14?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 20 (b) 8 (c) 3\/4 (d) -549\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 + 2 - 0 - 3) + 11418 + -11413.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002429 rounded to 7 dps?\nAnswer: 0.0000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 - 27*l**2 + 10*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b + 7. Suppose 2*d = -15 + 13. Let a be k(d). Suppose l - a*q - 7 = -2, 0 = -2*q + 6. What is the remainder when 63 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 9. Suppose 1 = -5*b + u*b. What is the closest to b in 1\/3, -5, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 162, 3 in increasing order.\nAnswer: -1, 3, 5, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 - 107.89. Let x = -107.5 - q. Let f = -0.500602 + x. Round f to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 - -2.38. Let f = x - 2.5. Let d = f - -1. What is the nearest to 0.2 in 3\/7, 0.5, d?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-412 + 840 + 85*q - 415)*((1 - 3 + 0)*(3 + 2 - 3) + 1 - 2 + 4).\nAnswer: -85*q - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-90))\/((-6)\/(-44)*(-21428)\/(-35064))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2457\/108 + (1 - -1 - 4). Let v = z - 21. Let l be 1 - 2 - (-2 + 2). Put v, -2\/5, l in increasing order.\nAnswer: l, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1833 (base 9) to base 13\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 23289366753*j**3 + 23289366751*j**3 + 1 + 1.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 6. Let n(x) = -x**3 + x**2 + 2*x - 2. Suppose -y = -0*y - 2. Let q be n(y). Sort t, q, 3.\nAnswer: t, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1150200 (base 6) to base 10.\nAnswer: 60984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14250734 divided by -14250734\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*z + 134. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1100, -56 in decreasing order.\nAnswer: 1100, -2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 168673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + u**4 - 3)*(5 + 13 - 12) as r*u**4 + g + n*u + q*u**3 + o*u**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzyrhyyee. Give prob of picking 1 z and 1 y.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4788 = -4*i + 2*u - 4622, -2*i - 13*u = 1219 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 23*o = 27*o + 440, 3*c - 2*o = 262. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10974194.\nAnswer: 2, 7, 11, 71261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 547788385?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 11 = -d, -2*v + 13 = 3*d - 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 2*o**3 + 3*o**2)*(-6*o + 3*o + 4*o) + o**2 + o**4 - o**2 + 2*o**4 - 2 + 2 + (-3 + 3 - o**3)*(0*o + 0*o - o).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**2 + 6*w + 17. Let h(q) = 20*q**2 + 17*q + 49. Let t(g) = 6*h(g) - 17*s(g). Determine t(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258699*d - 258674*d + 517376*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 3010?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 116*g + 1. Let h be q(1). Suppose h = r + 20. Suppose -4*x + 3*x + r = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709058069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3001 - 11?\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16470 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llptpttlly. What is prob of picking 1 l and 3 t?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = s + t, -2*t = s + 2*t - 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507750105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -259 (b) -236 (c) 1 (d) -4 (e) -2\/3 (f) 5 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**3\/3 - 833. Let g(z) = -7*z - 119. What is i(g(v))?\nAnswer: -49*v**2 - 1666*v - 14161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m + 304162 - 305122 = 0 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 1095.996 (c) 3 (d) -0.3 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(396) + (sqrt(396) - (sqrt(396)*1 - sqrt(396))**2) + 3)*3.\nAnswer: 21 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140334 is divided by 707?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -616 - 102610?\nAnswer: -103426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 862 divide 7784722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333 times -232?\nAnswer: 309256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*d + 7 + 19, -d = q - 14. Let w(m) = 0 + 2 - m**2 + q*m**2 - 1. Determine w(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = -0. Let y = -25194 - -25214. Solve 2*t = -h*t + y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(3\/2)*h)**21\/(h*h**(1\/3)*h**9\/h) assuming h is positive.\nAnswer: h**(385\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-12)*2676\/3. Suppose 4 = x, 4*b - o = 3*b + 5*x. What are the prime factors of b?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 184 = -2*x, 8690*x + 230 = 8693*x + 5*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -3 - (-2 - -1). Suppose -3*y + 9 = -6. Suppose g = -y*s + 2*s + 141. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1) + (-5 - (-4)\/1). Calculate the common denominator of 428\/64 + y\/(4\/(-12)) and 99\/76.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -873 + 875. Sort j, 0, -4, 3 in ascending order.\nAnswer: -4, 0, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 15 = -335. Suppose 0 = -3*l - v + 74. Let j(q) = 8*q**2 - 3*q + 2. What is the tens digit of j(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10*-1)\/((-22)\/44).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258337101.\nAnswer: 3, 11, 7828397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 7*j**2 - 36*j - 137. Let i be z(-5). Which is the closest to -0.1? (a) i (b) 18 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-80)\/(-42))*(193\/1351 - (-473)\/(-1694)).\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142001\/2 or -71002?\nAnswer: -71002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130*f - 3 wrt f.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 2 + -2 + -8. Let r = 13 + x. Let d = r + 1. Solve 4*t - d*p + 33 = -p, 21 = 2*t + 5*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 8:54 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.534049kg in nanograms?\nAnswer: 5534049000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2653 (base 7) to base 15.\nAnswer: 47d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 392294347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3 - 0, 5*f - 5*p - 410 = 0. Let y = -41 + f. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) 0.2 (b) -2070 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 7:51 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465 (base 15) in base 6?\nAnswer: 32122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110101 (base 2) to base 12.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8688181.\nAnswer: 23, 181, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 17181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -233*c**2 + 169*c - 22. Is u(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddaddssddssdad. What is prob of sequence sas?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*0.29832408\nAnswer: -0.0029832408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ammf when four letters picked without replacement from immijjcafifica.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -30012203210 (base 4) to base 12\nAnswer: -108bb98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8800429ml in litres?\nAnswer: 0.0008800429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u - 32 = 0. Let o = u + 16. Let f = -5 + o. Calculate the remainder when 7 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t + 13*t - 29*t + 14*t - 32 + 37*t**2 + 4*t**3. Let r(v) = v**3 + 12*v**2 + 2*v - 11. Let f(d) = -7*r(d) + 2*x(d). Calculate f(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, u: 2, o: 1}. What is prob of picking 1 u and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 91.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63451029763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*h - 14, 4*b + h = 2*h - 90. Let w = b - -22. Suppose w = -4*o + 1 + 3. Solve q = o + 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1140 and -476556721.\nAnswer: -476557861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 280413.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96302341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 - 3*d**4 - 3*d**4 + (d**3 - 2*d**3 + 0*d**3)*(3*d + 3 - 3) to the form m*d**4 + q*d**3 + s*d**2 + z + f*d and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -12. Suppose k = -2*t + 4*f + 34, -2*f = 5*t + 2*f - 85. What is the derivative of -t - 1 + 4 + 16*w**3 wrt w?\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312964.\nAnswer: 2, 78241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2187 or 2811?\nAnswer: 2187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -157*l*r**2 - 248807*l*r + 3*l - 10244234 wrt r?\nAnswer: -314*l*r - 248807*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvam. Give prob of sequence vmma.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 11*a**2 + 8*a + 10. List the prime factors of q(-5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.9237788 to 1 dp.\nAnswer: 62.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2)*(-2*n + 0*n - n) + 0*n - n + 3*n - 99*n + 5*n - 102*n)*(n + n + 3*n).\nAnswer: -940*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 944?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-3) - (-6 - (-656)\/30). Let f = y + 268\/15. Calculate the common denominator of f and -31\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 4. Let m = a - 3. Is 3 a factor of 18\/m*(-12)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**2 + 2*i + 1. Let w be a(-1). Let q be (-24)\/(-15) - 2574\/(-110). Sort q, -2, w.\nAnswer: -2, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (25 - 1)\/(3\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 + 4*f**3 - 3*f**2 + f**2.\nAnswer: 4*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10\/3 - 43\/12. What is the second biggest value in 3, 3\/7, x, -2\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/(r\/(r\/(r**(2\/9)*r))))\/(r*r**2\/r*r*r**(1\/6)) assuming r is positive.\nAnswer: r**(-7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.451 to one decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -102 (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*k**3 - 257*k**3 - 2*k - 6*k**2 - 65*k**3 + 5*k**2 as z*k + b*k**2 + a*k**3 + m and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 28 = 4*v, 20 = 4*k + 5*v. Suppose -19*h + 11 + 84 = k. What is the highest common factor of h and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 15\/142 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -30\/37?\nAnswer: -30\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 69 - (-9)\/(6\/2). Suppose -3*u = 2*a - 3 - 8, 0 = 3*u - 3*a - 21. Let i(r) = 2*r - 1. Let g be i(u). What is the highest common divisor of g and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = -5. Let x(n) = 6*n**2 - 2*n + 2. Let p be x(o). Suppose -p*w = -9*w + 12. Solve -2*i = -i - w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:42 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 3*p + 3*p**3 - 5*p**3 - 2*p**2 + 3*p**3 as c + t*p**2 + h*p**3 + s*p and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z - 5*z + 5*z)*(-7*z - 4*z + 6*z) - 2*z**2 + 2*z - 2*z)*(38*z + 2*z**2 - 38*z + 3*z**3) + 0 + 0 - 2*z**5.\nAnswer: -23*z**5 - 14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**5 + 2*d**4 + 4*d**3 - 2*d**2 - 3*d = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -26. Let w be 1 - 3*b\/(-9). Let q(d) = d - 3. Determine q(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080612883 a multiple of 679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1582*f + 67130 = 1596*f. Calculate the remainder when f is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:58 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**3 - 2*v - 8*v**3 - 9*v**3 + 2*v.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 10 + 8)*(5 + 1 - 204*w - 5) as l*w + d and give l.\nAnswer: -3264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114303.\nAnswer: 3, 7, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13706584 greater than or equal to 13706586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 683 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 104. Calculate the highest common factor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8927 - 160739\/18. Calculate the common denominator of -50\/27 and s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(7\/2))\/a*a*a*a*a**(3\/8))\/((a*a*a**0\/a)\/a)**5 assuming a is positive.\nAnswer: a**(55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*q + 48*q + 55*q + 48*q - 273*q + 52*q.\nAnswer: -32*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 + 945658*z**2\/3 - 111784104448*z\/3 + 111783158792\/3.\nAnswer: -2*(z - 236414)**2*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/14 - (-6)\/4. Let i(v) = v**3 + v**2 + v. Let x(b) be the third derivative of b**5\/30 - b**3\/6 + 3*b**2. What is m*x(j) - 2*i(j)?\nAnswer: -2*j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2266 + -2014. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - v**2 + v**3 + (10*v**3 + 17*v**3 - 6*v**3)*(-2 - 3 + 3) + 17*v**3 - 6*v**3 - 10*v**3 in the form z*v**2 + s + h*v + r*v**3 and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, w: 16}. What is prob of sequence mmm?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139788181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28652?\nAnswer: 2, 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 1, r: 1, c: 1, k: 1}. Give prob of picking 1 k, 1 u, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 368 and -0.0326?\nAnswer: 368.0326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 5 + -1 + 24?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**5\/60 + 5*w**4\/24 + 2*w**3 + 4*w**2. What are the prime factors of o(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9090\/19 - -63573\/133. Let v = 10 + -15. Let s be 40\/78 + 2\/(-3). Which is the third biggest value? (a) s (b) h (c) -1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 20*a + 1. Let g be k(-5). Let f = g - -105. Solve -4 = -f*w + 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-5)\/3)*147\/(-28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -4249096\nAnswer: 3\/4249096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 291 = -5*m - 46, 4*x = 5*m + 160 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*i - 49*i + 11878 - 67*i.\nAnswer: -188*i + 11878","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81425 - -118304. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 0.3, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.36, 0.5, 0.4, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 35766 = -2*b, -127*b = -130*b - 4*z + 53657. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 - -27) + 8*3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4\/8 - 21*p**3\/4 - 45*p**2\/8 + 336*p - 1176.\nAnswer: 3*(p - 8)*(p - 7)**2*(p + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 5*g - 6. Let w be r(4). Let u be (229 - (0 - w)) + 3. Suppose 0 = 4*p - u + 910. Round p to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1970 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-571 - 69*x + 571)*(3 - 2 + 3)*(-1 - 2 - 4).\nAnswer: 1932*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a809 - 7213?\nAnswer: -16a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -3*b + 671. Let v = b + -89. Suppose 0 = 5*q - v + 25. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 11*v - 5. Suppose 7*w = 3*w + 12, -m + 2*w - 3 = 0. Let a(r) = -4*r + 2. Calculate m*j(x) + 8*a(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*(c\/c**(2\/5))\/c*c)\/c*c*(c**(-2\/31)*c)\/c)**50*(((c*c*(c**(1\/4)\/c)\/c)\/c)\/c*c*c*c)**(-16)\/(c**(-2\/7))**(9\/7) assuming c is positive.\nAnswer: c**(162748\/1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39096 and 881496.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1926*w - 986*w - 940*w - 10788*w**3 in the form a + r*w + y*w**3 + n*w**2 and give y.\nAnswer: -10788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.57 * -4\nAnswer: -2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*1*-4)\/sqrt(4) - (sqrt(20)\/(sqrt(8)\/sqrt(32)))**2.\nAnswer: -80 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*h = 373 - 1057, -674 = -5*c - 3*h. Calculate the remainder when 678 is divided by c.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 + j - 9. Is g(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2416*k**6 - 22125*k**3 - 86519*k**2 + 35*k wrt k?\nAnswer: 289920*k**3 - 132750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**2 - 13*m + 11. Let o(u) = -6*u**2 - 12*u + 11. Let c(f) = -6*o(f) + 5*z(f). What is the units digit of c(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 5*t**2 - 5*t + 6. Let d be x(-6). Suppose -12 = -4*o - d*o. Suppose -4*i + o*w + 88 = 0, -5*i - 2*w = -w - 110. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21699a + 3?\nAnswer: -216997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 6451.393\nAnswer: -6451.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/108)\/7*(1 - -2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*o - 11. Factor 3*y**2 - 111*y**3 + 223*y**3 + y**o - 108*y**3.\nAnswer: y**2*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)*d)**(-40)\/((d*d\/(d\/d**1))\/d**(-1\/26)) assuming d is positive.\nAnswer: d**(4107\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, n: 2, x: 1, r: 11}. What is prob of picking 1 x and 2 o?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 792.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 674750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4016520 divided by -167355\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u - 3*s - 0*s, -2*u = 4*s + 6. Suppose 3 = -3*l - 4*z, 0*z - 2*z = 2*l. Suppose -4*g = -l*g. Solve g = -0*c - u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.34 + -13.55. Let k = -1312320.79331 + 1312327. Let n = k + d. What is n rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 plus 515.952?\nAnswer: 616.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - i + 36961, 0 = 68*y - 63*y - i - 92385. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-4))\/((-7)\/(-56)). List the prime factors of c - (-8 - -3 - 258).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.32\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1245952500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -223\/57 - -117\/38. Which is the closest to -1\/3? (a) -0.1 (b) -3 (c) 1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 426 - 273. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmoo. What is prob of sequence om?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74.23002l?\nAnswer: 74230.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121191.5191 rounded to the nearest 100?\nAnswer: 121200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-18) - (-10)\/(-45)) + 1. Suppose -4*i = 5*s - 513, -4*s + 0*i + 5*i = -435. Let 149*t**2 + 146*t**2 + c + 115*t + 9 - s*t**2 = 0. What is t?\nAnswer: -1\/2, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m - 4 + 524*m**2 - 3*m + 138*m**2 - 3*m. What is the units digit of y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14312610.\nAnswer: 2, 3, 5, 13, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*c - 17 = 4*q, 2*c = 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8783.91 centuries in years?\nAnswer: 878391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 565610048 + 0.3?\nAnswer: 565610048.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 722 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640)*6)\/((2*sqrt(22))\/sqrt(11)))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8194*p**2\/5 - 98321*p\/5 - 84\/5 = 0 for p.\nAnswer: -7\/8194, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4017, 8050, 12083, 16116, 20149?\n\"Answer: 4033*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 3\/50*t**5 + t**2 - 2\/15*t**3 - 1\/175*t**7 + 0 + 0*t - 1\/20*t**4 - 1\/300*t**6. Solve a(j) = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 9*a + 10. Let x = -27 + 82. Let z be a\/x - 222\/(-11). Solve 0 = 2*s + 2*s + z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 887 = 5*c, d + 62 = -c + 347. Calculate the highest common factor of d and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 3, p: 2, d: 4, j: 6}. What is prob of picking 1 j and 1 u?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 242*k - 1. Let j be x(-2). Let q = 481 + j. Let s = 10 + -5. Sort -11, q, -2, s in ascending order.\nAnswer: -11, q, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7794310 is divided by 222.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(847)*-3)*1)**2.\nAnswer: -264*sqrt(7) + 7639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-396)\/(-11) - (-198)\/(-9)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddy when three letters picked without replacement from ddddydyy.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 1:56 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-348)*-786 - 286\/4147?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -15190*k - 425322. Give p(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*z + 40, 2*q - 5*z = q - 20. Suppose q*d - 55 = -f, -4*f - 8 = -3*d + 2. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1178343560 to the nearest integer?\nAnswer: 34327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 1 + 1)*(4*k**2 + 4*k**2 - 2*k**2) - 2*k**3 - k + k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*a - 6, -5*v - 3*a + 2 + 40 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 49*s + 711. Determine u(-16).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373 - 25*u + 105*u - 35*u - 23*u + 379 - 21*u - 752.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djno when four letters picked without replacement from ndjwowco?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.61 + -4.41. Let b = i + 0.02. Let r = b - -8.5. Sort 1\/5, -0.4, r.\nAnswer: -0.4, 1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1541 times -4434?\nAnswer: 6832794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2901 = 118*c - 639 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:20 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1466 = 2*r - 2*k, 0 = -5*r - 5*k - 1745 + 5370. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*i**2*p**2 + 438650*i**2*p + 715*i + 24069*p**2 wrt i.\nAnswer: -86*p**2 + 877300*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/((-1144)\/33))\/(141\/188)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -4, 12, -1\/12, 3018, 0 in descending order.\nAnswer: 3018, 12, 0, -1\/12, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 291448 to the power of 1\/2, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 13*g + 9. Let a be h(-6). Is 3 not equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1553924 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30227 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107529872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -424517.9299307 + 424521.12. Let z = -3.19 + q. Round z to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/294 and 131\/18.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3334 - -335432?\nAnswer: 343210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/30)\/(-1))\/((-2)\/(-3)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -12, 0 = -4*f + 5*r - 9 + 1. Let s(l) = -105*l**f - 4 - 5*l**2 + 104*l**3 - l - 2. Calculate s(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 5*l - 4. Let u = -2 - -6. Let q be n(u). Let x be 4\/10 - (-12)\/20. Is q > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {i: 1, f: 3, l: 3, g: 1, u: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 2:00 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15200621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*-2*1\/(-2). Let l be (q\/2)\/((-12)\/(-32)). Suppose 0 = -5*p - a + 30, l*p + 2 - 10 = -4*a. Solve 3*h + p = -5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 447, 903, 1359, 1815, 2271, 2727?\n\"Answer: 456*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n - 9. Let j(d) = -5*d - 8. Let r(h) = -5*j(h) + 4*t(h). Let y = -5 - -6. Let s be (y + 0)\/((-1)\/5). Determine r(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12863836*u**2 + 34263983*u wrt u.\nAnswer: -25727672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194344771, -388689540, -583034309, -777379078, -971723847?\nAnswer: -1166068616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -671.774 - -673. Let x = -7.296 + j. Round x to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 52 = 75. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 81 - 1 = 0. Suppose 3*p + 12 = -2*p - 3*k, 4*k = -5*p - h. Solve -4*y + 4 = 4*d, 2*y = -4*d - p*y - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 452.02 - 442. Let w = d - 10. Let i = w + -0.0200025. What is i rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9*k**2 - k + 6. Let v(t) = -9*t**2 - t + 5. Give -6*v(n) + 5*z(n).\nAnswer: 9*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/9 - 3742*k\/3 + 190553\/9.\nAnswer: (k - 11209)*(k - 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 22, 2996, 2, -3, -2, -14 in increasing order.\nAnswer: -14, -3, -2, 2, 4, 22, 2996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**5\/90 + 7*s**4\/72 - s**3\/6 + 3*s**2 - 3. Let d(f) be the second derivative of r(f). Determine x so that d(x) = 0.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*x\/x**8*x)**(-44) assuming x is positive.\nAnswer: x**660","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(56) + 1*sqrt(2744))\/((-1*sqrt(88) + sqrt(88) + sqrt(88))\/sqrt(11)).\nAnswer: 2 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363611500 to the power of 1\/2, to the nearest integer?\nAnswer: 48617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2033 + 31*n**2 - 21*n**2 - 11*n**2 - 2033.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.425 - 0.575. Which is the second biggest value? (a) 2\/9 (b) -62 (c) f (d) 2\/11 (e) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/4 of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 706 and 763892?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-22498)\/112) + (-1)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -4*t - 7 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -6 - (-2 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -364, 0, 6 in decreasing order.\nAnswer: 6, 0, -364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 10:15 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*a = 571 + 2389 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50822 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 28*j**2 - 4*j + 5. Let k(o) = -o**2 - o + 1. Let s(g) = 3*k(g) - n(g). Let t be s(2). Let f = 251 + t. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71a5 (base 12) to base 6\nAnswer: 133125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 3:21 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*a - 8 + 38, 0 = 4*a + 3*h - 35. Let k = -3 + a. Let c = 7 - k. Solve -g - c = -1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 697585, 697553, 697521, 697489, 697457?\nAnswer: 697425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = -5. Let y be 2 + (2 - 3)*1. Is y less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 892 divided by 25.\nAnswer: 892\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7517*j + 93. Let u be i(9). Calculate the remainder when (-4)\/(-20) + (u\/(-25))\/8 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3100, 2128, 4.\nAnswer: -3100, 4, 2128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/25 - (-22)\/5. Let o be (-3)\/(12\/h) - -25. Suppose 0*d + 3*d = o. What is the remainder when 30 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3100022 - -120013?\nAnswer: -2320003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3067 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (5*(2*sqrt(1296) - sqrt(1296)))\/(sqrt(968) - (sqrt(968) + sqrt(968)*2*3))*6)**2.\nAnswer: 4050\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = -6. Let l be (o\/3)\/(1\/(-6)). Suppose 2*k - 2 = 2*p, -p + l = -3*k + 3. Solve k = 2*q - 10, 2*q = r - 6*r + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6724.407ug?\nAnswer: 0.000006724407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 6) + 7 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89239 is divided by 4643.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -34. Find the second derivative of -37*n**3 - 2 - d - n + 0 wrt n.\nAnswer: -222*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2. Let g(w) = -w**2. Let n(s) = 2*s**2. Let o(z) = 3*g(z) + 2*n(z). Give p(o(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 + -79. Let s = j - 37. What is the closest to 0.1 in s, -0.2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*y**5 + 343*y**2 - 1255*y**2 + 20*y**4 + 106*y**5 - 1744*y**2 wrt y.\nAnswer: 4380*y**2 + 480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245 and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -w - 430, 2*t - 2*w = 3*w - 199. Let h = 89 + t. Find the third derivative of -14*q**h + 3*q**2 - 11*q**2 + 34*q**4 - 7*q**2 wrt q.\nAnswer: 816*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25285 + 25271. What is the fourth biggest value in -1.5, 1\/4, x, -2\/7, -2\/13?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29\/5 + -28\/5. Calculate the common denominator of -91\/2 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3)\/(-1 + 10\/12). Let o be (-14)\/(a + 3 - 0). Let g = o + 105. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*o = 195*o, 54 = 3*w - 3*o for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0555 + -0.1415. Let h = u - 0.414. Which is the closest to 9? (a) -2 (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 192 = v. Suppose -4*l = -96 - v. Suppose -l - 15 = -2*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -580, -1163, -1746?\nAnswer: -2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3 = 13. Suppose 65 = k*h - 4*h. Let v(l) = -5*l - 3. What is the remainder when h is divided by v(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 19 = -4. Suppose -h*l + 26 = w, -23 - 24 = -w + 4*l. What is the remainder when w is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745922 smaller than 745921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 - 16*r**2 - 1815*r - 16*r**2 + 582*r**3 - 17*r**2 - 21*r**2 + 68*r**2 wrt r?\nAnswer: 3492*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40419*i**2 + i + 40347*i**2 - i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0.5, -12, -6.09, -0.002?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t + 2*t - 6*t)*(0 + 2 + 0) + 0*t + t + t)*(-1962 + 1962 - 215*t + 3*t + 5*t - 5*t + (1 + 0 - 3)*(2 + t - 2)).\nAnswer: 428*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c4 (base 14) to base 9.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 80 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 30*v + 85. What is l(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + 5 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**2\/7 - 8709648*q - 33187861124208 = 0. What is q?\nAnswer: -7620942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:49 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzvv when four letters picked without replacement from zzvv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -289\/586 + -2\/293. What is the nearest to -1 in g, -69, 1, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a meter in centimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 273 - 190. Suppose -79 = b - q. Suppose 2*w + b = 108. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 5*w**2 - w - 1. Let h be b(-5). Suppose -h*f - 15 + 7 = 0. What are the prime factors of f\/10 + 393\/15?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 8 + 12. Let h = 0.177 + -0.117. Which is the closest to 4? (a) p (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 7 - 3 = 0. Let n be 7\/(-6) - 2\/q. What is the closest to 1 in 1, -5, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/(-227 - 11))\/((-1)\/(-9)). Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 87. Suppose -j = -9*f + 22. Put 2, -4, f in decreasing order.\nAnswer: f, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2 - -5) + -2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 83 (b) 0.08 (c) 2\/9 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -60.184423 - -2.27\nAnswer: -57.914423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18 (b) 6 (c) 0.026 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(2744))\/(sqrt(64)\/(1*sqrt(8) + sqrt(8) + sqrt(8))).\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {z: 4, b: 3, p: 1, o: 9, f: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*t**3)*(-33 - 32 + t + 42*t**2 + 63).\nAnswer: -84*t**5 - 2*t**4 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 23. Let r = 9.6 - 3.8. Let x = -1.8 + r. What is the third smallest value in x, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**3 + 44*k**2 - 68*k + 423. Is s(33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.7 - 29. Let a = q + 3.3. What is the third biggest value in 4, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70777.0044 - 70758. Let d = 56 - 37. Let q = h - d. What is q rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = -4. Suppose -2*s - 2*m - 65 = -q*s, -4*m = -3*s + 55. What is the greatest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - 3. Let f be (-24)\/i + 2*-2. Let t(q) = 4*q - 3. Let j(o) = 6*o + 12. Let r(c) = -3*c - 11. Let u(s) = 4*j(s) + 5*r(s). Determine f*u(m) + 5*t(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 73 - 9?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6297166765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 52, 58, 66, 76?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - n. Let f(o) = -233*o**2 + 3*o - 2. What is f(v) + 3*g(v)?\nAnswer: -239*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25502, 50932, 76488, 102230, 128218?\nAnswer: 154512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhqhfqhttfqqqfl. Give prob of sequence qftt.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -186 divided by -186\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23a8 + 326b?\nAnswer: 5646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 57.7. Let v = z + 3.2. What is the second biggest value in 0, -5, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 14. Suppose -j + 6 = y, 20 = 5*y - 2*j + 5*j. Let h be (-4)\/(-7) + -62*y\/(-14). Which is the nearest to 1? (a) x (b) 2\/9 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -i - 27, -3*g + 3 = 5*i - 0. Let y = -83 - -88. Which is greater: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 188.23 and -2075?\nAnswer: -390577.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 1:54 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26101*x**2 + 9555*x**2 - 48860 + 24428 + 24432.\nAnswer: 35656*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1450 divided by 58\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4*l = -0 + 4, 0 = -4*k + 3*l - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + g - 9. Suppose -f - 5*q + 5 = f, -5*f + 2*q = 2. Let s(y) = y**2 + 7*y + 7. Let c be s(-7). Solve -g*r + c*r - 4 = f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*189\/(-630))\/(1*2)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**3 - 20*s**3 + 4*s**3 + 3*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2 = -5*p - 23, -d = -3*p + 17. Let j(q) = q**3 + 10*q**2 + 9*q - 10. Let t be j(d). Suppose 0 = 2*h - 0*h - t. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -78, -4 in increasing order.\nAnswer: -78, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 13*s**2 - s + 17. Let m be p(13). Suppose -5*b - 17 - 3 = 0, m*n = -b + 88. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*x**2 - 12*x**5 + 6*x**6 - x - 6*x**2 + 20*x**5 + 3*x wrt x?\nAnswer: 720*x**3 + 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*z = -209*z + 16. Calculate the remainder when (5\/(-1))\/((-9)\/18) is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -360*f + 362*f. Solve 0 = -f*n + 9*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 15 + 9. Suppose 2\/3 - 1\/3*r**2 - r**v + r - 1\/3*r**4 = 0. What is r?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4460*p + 105 + p**2 - 4460*p as v + g*p**2 + z*p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 641900 rounded to the nearest 10000?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -57, -0.15, -2, -1.9, 18 in decreasing order.\nAnswer: 18, -0.15, -0.3, -1.9, -2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 3*y = 10*m + 1128, -4*y = -20. What are the prime factors of m?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y + 362 = -3*a + 267, y = 3*a - 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*k + 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 - -2966792953509\nAnswer: 2966792953508.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**3 - 3*h**2 - h - 2. Let t(z) = -z**2 + 2*z. Let d(c) = t(c) + x(c). Suppose 150*r = 155*r + 10. What is d(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**4 + 2292*a**3 - 408440*a**2 - 1661136*a - 1670240 = 0?\nAnswer: -715, -2, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1675720964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*k = -30 - 61, 0 = 4*z - 5*k + 85. Let b = -45 + z. Let o be (b\/28)\/(2\/(-4)). What is the greatest common divisor of 2 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/12*7\/((-21)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(2299)*-6 - (sqrt(2299)*-2*5 + sqrt(2299)))**2*-2.\nAnswer: -2027715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -11, -7, -469, -1, 2 in increasing order.\nAnswer: -469, -11, -7, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1000110000111000111010?\nAnswer: 1000110000111000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/4767584 and -63\/20262232?\nAnswer: 81048928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908 divided by -20061?\nAnswer: -212\/2229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4484989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yllllelyleeel. What is prob of picking 4 l?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2286*(-3)\/(-520) + -2. Let f = i + -209\/26. Calculate the common denominator of f and 101\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24, -96, -214, -384, -612, -904, -1266, -1704?\n\"Answer: -j**3 - 17*j**2 - 14*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4245126953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*d - 272*d = -139*d + 8. Solve 105*o + 28 = 103*o - d*z, -3*o + 3*z + 3 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2830 - -1861. Let a = 1761 + y. Is a a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6244952*-0.57.\nAnswer: -3559622.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -135*j**3 + 15*j - 93. Let x(g) = 34*g**3 - 4*g + 23. Let w(h) = -15*x(h) - 4*y(h). Differentiate w(r) wrt r.\nAnswer: 90*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114\/29 + -1312\/319. What is the smallest value in s, 180, 1, 2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -19*r - 228. Calculate the remainder when 2285\/35 - r\/(-28) is divided by 17*(-1 + 2 + 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186930064?\nAnswer: 2, 11683129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0 + 0)*(-3*f + 2*f + 0*f) - 4*f**2 + 6*f**2 + f**2 + 3*f**2 - 4*f**2 + 3*f**2 - 1 - f**2 + 1 + (-2*f - 3 + 3)*(3*f - 5*f + 0*f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -2, 1.5, 2, 1, 5\/2?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -2*v - 13*v - i, -5*v + 3*i - 17696 = -17723 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3 + 6. Suppose -g*h = -2*p + 1, 2*h + 0 = p + 1. Calculate the least common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.59 and -48.843?\nAnswer: -175.34637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - c)*(0*c + 0*c + 2*c) - 5*c**2 + 3*c**2 - c**2 + 3*c**2 + 4*c + 0*c**2 - 14*c.\nAnswer: -2*c**2 - 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 7*i**2 - 6*i. Let k be (-2)\/(-2) + -3 - -8. Let j be q(k). Solve 2\/7*z**3 + j - 4\/7*z**2 + 2\/7*z = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*s - 1 - 20, -4*s - 5*b = -15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 517*m**6\/30 + 91*m**2 - 60*m. Differentiate y(q) with respect to q.\nAnswer: 2068*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -836036.476911 - -0.03.\nAnswer: -836036.446911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4678500 to the nearest 100000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 168?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*3*2\/12)\/((-51)\/85)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -7581?\nAnswer: -7582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from {d: 2, m: 2, g: 1, z: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 347 + 37. Let i be m\/9 + (-2)\/(-3). Calculate the common denominator of ((-26)\/8)\/(5\/i) and 38\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19983 is divided by 412.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (1*-4*sqrt(720) + sqrt(720)*1 + 5)**2 + -2).\nAnswer: -13014 + 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -5 + 18 + 19 + -20\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -12025.89 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (47\/105 + 44\/(-110))\/((-23)\/276)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 2\/65 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2*u + 140. What is the remainder when u is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -767.899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74 + 2673?\nAnswer: 2757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31416 = -349*k - 1477*k + 517*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 - u - 1. Let a be j(2). Suppose -h + 4*n = a, 0*h - n + 1 = 2*h. Let l = 12 - 12. Which is smaller: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5211, 10429, 15647?\nAnswer: 20865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 5*c - 4. What is h(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 35*d**3 + 49*d**3 + 74.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.264754368 take away 603?\nAnswer: -603.264754368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 514115, 2056245, 4626463, 8224769, 12851163?\nAnswer: 18505645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, -74, -204, -356, -518, -678?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*i + 167*i + 39 = -w, 5*w - 20*i = -155 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -33, 3 in ascending order.\nAnswer: -33, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/2*4\/6*(-177)\/59.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a7a + 5a?\nAnswer: -a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**5\/60 - k**4\/12 + 245*k**3\/3 - 4*k**2. Let h be y(0). Round h to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*d = -0*s - 10, -27 = s - 5*d. What is the remainder when s\/(-3)*(-2 - (-55 - 4)) is divided by 20 - (-2)\/(-6)*0?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -f, 0 = r - 3*f + 8 - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, 4, 5, -5, -39, 3 in decreasing order.\nAnswer: 10, 5, 4, 3, -1, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f**2 + 51*f**2 - 957*f + 480*f + 477*f - 17*f**2.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36337 - -62490. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30\/233 - -14453\/1864. Let z(j) = j**3 + 19*j**2 + 15*j - 6. Let n be z(-18). Calculate the common denominator of a and (100\/n + -2)\/((-2)\/(-556)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -4. Let p = q - -1. Let w(s) = -s**3 - 3*s**2 - s - 4. Let z be w(-3). Is z != p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**5\/15 + 7*q**4\/2 - 40*q**3\/3 + 103*q**2. Determine u so that w(u) = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 - 6*w - 3. What are the prime factors of h(-4)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -860*v + 2*r = -856*v - 62, 0 = -v - 2*r + 23. Solve 105*s - 3*t + 1 = 101*s, -2*s + 5*t + v = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**4 + 33*k**3 + 177*k**2 + 246*k - 12. Let i(y) = y**4 + 2*y**2 + y - 4. Let q(x) = -12*i(x) + 4*n(x). Let q(l) = 0. Calculate l.\nAnswer: -27, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50547009.\nAnswer: 3, 16849003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*v - 73*v = -55*v - 211*v + 24702 for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7*4328555\nAnswer: -30299885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -689, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**2\/7 - 69*r\/7 = 0.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -123.357*-0.3\nAnswer: 37.0071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*l + 16. Suppose l - 2 = -s. Let f(g) = -30*g + 1. Is f(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547296 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: Rearrange 159*o**2 + 4*o - 2*o**3 - 160*o**2 + 0*o**3 + 2 - 6*o to j*o**3 + v*o + y + m*o**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*v = 4, -47*i + 51*i + 2*v = -52. Let b(k) = -k - 1. Let x(m) = 6*m**2 + 14*m + 12. What is i*b(z) - x(z)?\nAnswer: -6*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -366 - -370. Solve -4*f - 12 = -b + 3, 2*b - 14 = h*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 20614.02 grams?\nAnswer: 20.61402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w**3 + 28\/3*w - 86\/9*w**2 + 2\/9*w**4 + 0.\nAnswer: 2*w*(w - 6)*(w - 1)*(w + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -326, -1088, -2572, -5018?\nAnswer: -8666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 38. Solve -f - 2*f - z = -5*a, 0 = -5*f - 4*a - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3199484244 to the nearest integer?\nAnswer: 56564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -55*u. Let l(h) = -12*h. Let i(s) = 22*l(s) - 5*t(s). Let d(w) = -3*w. Determine d(i(x)).\nAnswer: -33*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t - 23. What are the prime factors of n(16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 11*p - 8. Let t(l) = -7*l + 5. Let r(z) = -5*n(z) - 8*t(z). Let h(c) = -c**3 + 5*c**2 + 6*c - 2. Let i be h(6). Calculate r(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11090*k**4 + 2129*k + 2 wrt k.\nAnswer: -133080*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -280.286 + 2.286. What is the third smallest value in -4, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 32*c**3 + 75*c - 27*c - 1 - 28*c - 19*c as x + k*c**3 + u*c + h*c**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/204 and -1\/561.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7561517 millilitres?\nAnswer: 0.0007561517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2497 - 0.8.\nAnswer: -1.0497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*r, 0 = 2*r - 4*k - k + 24. Suppose -4*b + 1 = -5*u, -4*u - 8 = b - 6*b. Sort r, 4, u.\nAnswer: r, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 1\/2, -0.0538?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 - 658 = -15*l. What is the remainder when 131 is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161964168 and 272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 13\/3*q**3 - 3*q**2 + 1\/24*q**4 + 0*q + 0. Is 13 a factor of z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 12, 5*v + 2*h - 49 = -h. Let l = 7 + v. Let q be (-1 + l\/9)*(6 - 3). Calculate the highest common factor of q and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 2*h - 1. Let o be w(1). Which is the nearest to 3? (a) 0.4 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 3*u**2 + 3*u**2 + 1097*u + 27 - 1083*u. Determine f(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/15)\/k*k**(-10\/11))\/(k**6)**(-22) assuming k is positive.\nAnswer: k**(21443\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211801410.\nAnswer: 2, 3, 5, 257, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11a5b2 + c?\nAnswer: -11a5a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*l**4 - 54168216*l**3 - 675479*l**2 - 2*l + 2 wrt l?\nAnswer: 144*l - 325009296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**2 - 7 - 8*f**5 + 7 + 6*f**2 wrt f?\nAnswer: -480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 4*z + 10 = 0. Is z less than 7\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -274815\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 7. Let i be q(-5). Let m be (-16)\/120 - (-122)\/15. Calculate the highest common factor of i and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f - 5*f + 5*f)*(2 + 0 + 0)*(266*f + 227*f - 20*f).\nAnswer: 8514*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -2 + -1 - (1 - -60). Let h = r - -63. Solve -h*t - 5 = 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1931673162 divided by -6\nAnswer: 321945527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3 = -11. Let v(q) = -16*q + 16*q + 3*q**b - 7*q**2. Let f(r) be the first derivative of r**3 - 35. What is v(f(s))?\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11984412.\nAnswer: 2, 3, 11, 163, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1846.\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -1\/10*q**6 - 5*q - 2*q**3 + 0 - 3\/2*q**4 + 3\/4*q**5 + 12*q**2. Factor c(o).\nAnswer: -3*(o - 2)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-441 - 56*h + 441)*(6 - 2 + 6)*(-4 + 3 + 5) to the form q + y*h and give y.\nAnswer: -2240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - 3*g - 21, 4*g - 4 = -4*c. Suppose -350 = -a - 2*a + 2*v, -a = -c*v - 105. What is a rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5830 plus 7?\nAnswer: 5837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -92 (b) 3\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + -29 + 68 - 19 - 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, t: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.2, 4, 5.5, -2, 3, -9\/2?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Suppose 0*c = -3*c + 4*c - 346. Suppose c = -s*o + 7*o + 3*y, -3*o + 258 = 3*y. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 6 - 2 + 5 - 5 + (-2 + 2 - 1)*(1 - 5 + 2) + 4 + 0 - 2)*(z**4 - 2*z**3 + 3*z**3 - 3*z**4).\nAnswer: -16*z**4 + 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*w - 2*w. Let r be (-202)\/(-4) - (-6)\/w. Suppose -5*a - 5*i + 400 = 0, 0 = -2*a + 4*i + r + 103. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28875312.7 to the nearest one hundred thousand.\nAnswer: 28900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -20*w**3 + 53*w**2 + 143*w - 39. Give i(-3).\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + 197. Let t = -87 + m. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173 - 174 - (0 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -120742 - 7?\nAnswer: -120751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 232*z. Let a(l) = -323*l + 963*l - 322*l - 313*l. Determine s(a(p)).\nAnswer: 1160*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88077 and 1413.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*m - m - 13, -5 = -s + m. Suppose 0 = i + 1 - s. Solve 0*v + 0*v**3 + 2\/3*v**4 - 4\/3*v**i + 2\/3 = 0 for v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.0759582 to one dp.\nAnswer: 73.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 4. Let h be w(-3). Suppose 4*n + 5*k = h, 4 = 5*n - 3*k - 7. Suppose -2*f - f + 2*u = -491, n*f = -5*u + 647. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20213 + -20218. What is the smallest value in -755.5, i, -1\/2?\nAnswer: -755.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246463075?\nAnswer: 5, 9858523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 10:34 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255708681.\nAnswer: 3, 2683, 31769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(343) + ((sqrt(448)*1)**2 - (sqrt(7) + 1)*-5).\nAnswer: 26*sqrt(7) + 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.06 + -0.06. Let d = -5 + j. Let h = 0.11 + d. Round h to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.64 + 9.649. Round v to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 624\/(1 - -2) + 2. Let h = -146 + v. Let s = h - 38. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(4\/2)*6. Suppose -2*q - 6 = -q - 5*y, 9 = c*y. Let f(o) = -o**3 - 8 + 5*o**2 - o + 0*o**3 + q*o. Calculate f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 11*t**3\/2 - 64*t**2 - 135*t\/2.\nAnswer: t*(t - 5)*(t + 1)*(4*t + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6138*-682.7.\nAnswer: 419.04126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 d when three letters picked without replacement from {o: 1, d: 7, n: 10}?\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17199 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4667.\nAnswer: 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29143378 divided by 209?\nAnswer: 139442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 m when three letters picked without replacement from qtqfmtqq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1641 + 23016?\nAnswer: 24657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/5666100 and 43\/5280?\nAnswer: 45328800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 91\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18700 divided by -2\nAnswer: -9350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 4*h + h - 115 = -4*x, 4*x + 312 = -2*h + 402 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -8*b + 25. Suppose -i + 1 + 10 = 5*t, 5*t = -b*i - 5. What is the derivative of -t - 5 + 3 + 3*p wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16659\/(-27765)*(20\/1002)\/1.\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -2*k**3\/3 - 9*k**2 + 20*k - 12. Determine c so that z(c) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0*l**6 - 5*l + 0 - 23\/8*l**4 + 0*l**5 - 10*l**2 + 1\/5*l**7 - 1\/6*l**3. Find the second derivative of c(o) wrt o.\nAnswer: 504*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -5, -8, -7 in descending order.\nAnswer: 1, -4, -5, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 4*c + 4. Determine w(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 5*x**2 + x - 10. Let n be j(-3). Suppose 4*v = 4*b - 1164 - 1036, 0 = -5*v + n. What are the prime factors of b?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*i**2 + 253.\nAnswer: 58*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 23*f - 140. Let x be a(28). Suppose 4*m - 4*z - 6032 = x, m - 3*m - z = -3013. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30293790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 188183*p - 13. Suppose -2*j = 5*u - 47, 2*j + 21 = 3*u + 5*j. Let g be d(u). What is g rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 769*i**4\/3 + 11*i**3\/3 - 9*i**2 + 8*i. Let g be y(-19). What is g rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -389970, -780660, -1171350, -1562040, -1952730, -2343420?\nAnswer: -2734110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186609?\nAnswer: 3, 17, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -0.4. Let k(n) = 2*n - 37. Let t be k(19). Let y be (-2)\/8 - (-13)\/4. What is the nearest to t in 4, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 4*f - 4. Let r be i(-1). Is r <= -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -18. Let z = 104 + -98. Suppose -c*q + 2*u = -456, -2*q = -z*q + 3*u + 452. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 5*t**3\/6 + 21*t**2\/2 - 15*t. Let u be g(-6). Let n = 87 - u. Does 48 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 6*h**2 - h - 7. Let a be s(-6). What are the prime factors of (a\/3)\/((-3)\/99)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/35)\/(4 + 2*(-1161)\/585)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/7 + 15*q\/7 + 150\/7.\nAnswer: -3*(q - 10)*(q + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 137 = -121. Let f(n) = -8*n + 1. Let x(l) = -12*l + 2. Determine u*f(t) + 5*x(t).\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/24 + 74\/12. Let h(x) = x - 5. Let n(d) = 2*d - 9. Let i be 0\/3 - (8 - -4). Let z = i + 1. What is l*n(r) + z*h(r)?\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: c9 (base 15) to base 14\nAnswer: d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/(r**(-2\/25)\/r))\/((r\/r**(2\/23))\/(r*r**(-5)*r)) assuming r is positive.\nAnswer: r**(-1054\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1757*r**3 + 2276*r**3 + 5778*r**3 - 9336*r**2 wrt r.\nAnswer: 37782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9877 + -9874. Solve 4*h - 11 = -c*b, -9*b + 17 = -13*b + h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1. Let x(h) = h + 4. Suppose -l = -2*n + 3 + 1, l - 24 = -5*n. Let r(w) = l*i(w) - x(w). Let z(b) = 2*b**2. Give z(r(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6\/5, -39, -30, 0, 113?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 0.4. Let s = o - -0.2. Let i = 0.3 + s. Which is bigger: -0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 16 - 4. Suppose z*x + 2 = o, -4*o = -0*o - 3*x - 76. Let a = 26 - o. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 16 + 6. Let q = 2082.5 + -2083. Which is the third smallest value? (a) g (b) q (c) 0.03 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 16. Suppose -2*c + 8*c + 18 = 0. Let n be 2 + -9*c\/45. Which is smaller: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033 a factor of 1222081312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1555475 and 96128355?\nAnswer: 480641775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 16. Let c(n) = 2*n + 16. Let r(d) = 5*a(d) - 4*c(d). Let y be r(-7). Solve 0 = x + 3 - y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 5) + (-10)\/(-1). Let p(r) = r**3 + 7*r**2 + 5*r - 6. Let f be p(-6). Let d = o - f. Calculate the greatest common factor of 16 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s. Let g(o) = 2121316*o**2. Calculate g(i(h)).\nAnswer: 8485264*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6696222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 2. Let w be c(-8). Let p be (w\/(-5) + 2)\/1. Put 13, p, -5 in descending order.\nAnswer: 13, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.63591 micrometers to nanometers.\nAnswer: 9635.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 118*c**2 - 241*c + 68. Give x(120).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -14*x - 42. What are the prime factors of g(-12)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 0*h**2 + 0*h**2)*((-h + h - 2*h)*(-2*h + 2*h + 2*h**2) + 21*h**2 + 7*h**3 - 21*h**2).\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1039309414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykxyxxyyxxpxkxx. Give prob of sequence ykpk.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.64213 kilograms to grams.\nAnswer: 95642.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 75029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -3\/2*a**2 - 1\/4*a**4 + 4\/3*a**3 + 0*a + 3. Determine d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t - 21*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 380\/(-114)*(-9)\/70?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*r**3 + 66*r**3 - 588 + 51*r**2 - 51*r**2.\nAnswer: -5*r**3 - 588","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:47 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2771 - 6?\nAnswer: 2767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1368 and 193\/3420.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-3)*(-3)\/9. Let y be -1*i*(-2)\/4. Which is the closest to 0.1? (a) y (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4931*m**2 + 8*m - 65. Is d(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 + 4941*h**2\/4 + 169057*h\/4 + 462675\/4.\nAnswer: -(h - 4975)*(h + 3)*(h + 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1041762 + 2130.81.\nAnswer: -1039631.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -3843 = -2936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, 25, 22?\n\"Answer: -3*s + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45\/2 - 23. Which is smaller: -1\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 0.1, -2149, -4\/23?\nAnswer: -2149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + v**3 + 4*v**3 + 2*v**3 - v**3 - 2*v**3 + (-6*v**3 + 0*v**3 + 4*v**3)*(4 - 4 - 1) - v + v + v**3 - 2*v**3 - v**3 + 2*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*s = 3, 3 = 2*y + 3*s + 4. Let t(m) = -m**2 - 8*m - 8. Let x be t(-6). Find u, given that x*u**y + 4 - u**2 - u - 3*u**4 + u**3 - 4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 1:12 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 660 + -652. Suppose 3*a - a = 6. Solve -d = -a*r + 4*o + 1, 15 = 5*r - o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -2. Let i = -3 - -3. Let a be 2 + -2 + 1 + i. Calculate the highest common factor of a and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5\/13)*u**(-2\/19)*(u**1\/u)\/(u\/(u*u\/((u*u**(27\/5)*u)\/u))*u*u) assuming u is positive.\nAnswer: u**(-9744\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6199, -12879, -19559?\n\"Answer: -6680*v + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 11:25 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111 - 111. Which is the closest to 2\/5? (a) h (b) 4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by 74\nAnswer: -22\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1087*s + 116*s + 70*s - 650*s.\nAnswer: -1551*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -20*i**2 - 330*i + 80. Determine z(-17).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - k. Let u = 277 + -84. Let b = u + -190. Let q(c) = 3*c**3 - 4*c. What is b*q(g) - 12*m(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -281*h - 1984. Calculate z(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071600 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -43*w + 2. Let s(n) be the first derivative of 7913*n**2\/2 - 369*n - 7115. What is -369*f(l) - 2*s(l)?\nAnswer: 41*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poopopppoppmjoipp. What is prob of sequence mi?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 5. Let d be -2*((-28)\/8)\/q. Let b = 11 + d. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (13 - -2) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -820 divided by 5\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-140)\/63 - -2 - 29\/(-9). Solve 3 = -60*p + n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q**3 + 45*q**2 - 113*q + 75. Let w(b) = 13*b**3 - 91*b**2 + 227*b - 149. Let u(k) = -5*a(k) - 3*w(k). Solve u(s) = 0.\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1 + (-39)\/52 + 3*(-99930)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66824261\/104 + 642554. Let u = 103\/8 - k. Which is the biggest value? (a) 0.4 (b) 29 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 180 - 140. Let q = 50 - y. Solve -4*j - q = 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 4*m**2 + 3*m**2)*(413*m - 180*m - 141*m)*(4 - 1 - 2)*(-7 + 11 + 7).\nAnswer: 2024*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2. Let m(w) = -4*w**2 - 2 + 3 - 1. Calculate m(q(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from hmmmmmmm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 1071?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzlzfqzzfqzdczfzdd. Give prob of sequence lz.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -3 (b) 7 (c) -5\/4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*m + 8*m. Suppose -m*y + 4*v + v - 57 = 0, -4*v - 51 = 3*y. Round y to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4385 - -4393. Calculate the remainder when 69 + (0 - 0) + 2 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 2\/9, -2, -256?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 - 5.73. Let y = k + 5. Let o = -0.5 - y. Which is bigger: -0.2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2290*d**5 + 221*d**3*h + 14409*d**2 - 27*d*h wrt d.\nAnswer: 137400*d**2 + 1326*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 111*f + 44. Let w(j) = 561*j. Give n(w(z)).\nAnswer: 62271*z + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04143 to 3 dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + 36 + (-49 - -59).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s + 4*k + 169 = 6*s, -22 - 175 = -4*s + s + 12*s - 5*k for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + k = -22 - 19, -2*c + 2*k - 26 = 0. Are 11 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 59*f + 432 = -65*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 266620472 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ooi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-1 + 8 + (16 - (-7 + 20))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -10) + -7 - -1 - 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/12 and -109\/352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times 29783?\nAnswer: 6850.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29690716*o + 11032884 wrt o?\nAnswer: 29690716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4844 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11906159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11221 (base 3) to base 8.\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 5 + (3 - 4 + 0)*(0 + 0 + 2))*(-2*a**2 + 6*a**2 - a**2).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 343\/441*-126 + 223\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3361 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 2210\/20773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.061 - 19.439. What is n rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866471896?\nAnswer: 2, 19, 5700473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 + -150 - (1 + -6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -16 (b) 4.4 (c) 2 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-2*-6)\/(6*-3*sqrt(4) + sqrt(4)) - (((sqrt(204)\/(sqrt(24)\/sqrt(2)) + sqrt(17) - (-2*sqrt(85))\/sqrt(5)) + 0)**2 + 1).\nAnswer: -273 - 12*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 12) to base 5\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016963 to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 1120304201111?\nAnswer: -1120304201103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -203, -203, -201, -197?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/189210 and 59\/121635?\nAnswer: 1702890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (((-70)\/5)\/(-1) - 4). Suppose 126 = 6*s + l*s. Solve 3*n - 3*k + 4 = -17, -s = -2*n - 5*k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from {x: 2, q: 4, b: 1, f: 1, i: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**5\/35 - y**4\/3 + 4*y**3\/7 + 6*y + 1. Factor r(s).\nAnswer: 4*s*(s - 6)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 9*x - 4*x - 5, -4*g + x = 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.03242 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -213, 3, -3, -28 in increasing order.\nAnswer: -213, -28, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2930 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9872743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -957626 to the nearest one thousand.\nAnswer: -958000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16967\/96 or 178?\nAnswer: 16967\/96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-8))\/(y**8\/y))**(-38\/7))**50 assuming y is positive.\nAnswer: y**3800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -64, -68, -74, -82, -92, -104, -118?\n\"Answer: -c**2 - c - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106.96 + -106.56. Which is the closest to 3\/86? (a) -1\/4 (b) 1 (c) w (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*g - 1377634980 - 831775020 = 0. What is g rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*c**4 + 0 + 9\/4*c - 3\/4*c**2 - 9\/4*c**3.\nAnswer: 3*c*(c - 3)*(c - 1)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**5\/60 - h**4\/8 + 16*h**2 + 3*h - 100. Let u(y) be the second derivative of s(y). Factor u(a).\nAnswer: a*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*2350\/(-1410)*(-34)\/(-2).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5547 - -1?\nAnswer: -5546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/317 (b) 3\/2 (c) 1739\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y - 36. What is r(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5998547km to meters.\nAnswer: 599.8547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110100 (base 2) to base 10.\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -12. Suppose -o = -b - b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhdxxdhx. Give prob of sequence hhx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - ((29 + -5 - 2) + -27).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-80*y - 7*y - 49*y)*(10 - 1 - 1) - 3 - 4*y + 6*y + 5 to i + j*y and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-8) - (-174)\/(-624).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-0.45.\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-50)*64200\/60*-1.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = 2*g - 11, 4*g - 32 = -4*u. Suppose -f + 3*f - 13 = a, -36 = -u*f - a. Factor h**2 + f*h - 3*h - 2*h - h.\nAnswer: h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0447427726 - 5891.\nAnswer: -5891.0447427726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -q + 5, 4*g = q + 21 - 8. Solve -g*x = 2*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 212 - 73 = -69 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -203\/2 + 100. Put -1, -1\/12, 0.5, k in increasing order.\nAnswer: k, -1, -1\/12, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8527947 rounded to three decimal places?\nAnswer: 0.853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*q**2 + (-21*q**2 - 744*q + 744*q)*(1 - 1 + 1))*(q**3 + 1 - 1).\nAnswer: -25*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -1\/7, -8.9, -3 in ascending order.\nAnswer: -8.9, -3, -1\/7, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4217477 rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139\/6 - 409\/24. Find the common denominator of 39\/(-27) - (2 - 5) and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 145, 223, 305, 391?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/20 and -23\/2816928?\nAnswer: 14084640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3 - 1210*s - 4*s**2 + 3*s**2 + 1206*s. Let k = 4 + -8. Give b(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - c - 3 = -2*c, -2*n = -4*c. What is the units digit of 104\/24*(n - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-12)*-2*6\/(-16). What is the closest to 6 in -0.7, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-6))\/(-1))\/(4*7\/(-8))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jujeeejjrjryyejrje. What is prob of sequence yey?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 2902.\nAnswer: 2901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 13 - (2 + -8 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 8 = -23*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 1. Let a(k) = 5 - 5*k**3 + 2*k**2 + 0*k**3 - 1 - 13*k**2. Let m(t) = -a(t) + 4*p(t). What is the third derivative of m(n) wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255702, 255692, 255676, 255654, 255626, 255592, 255552?\nAnswer: 255506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 142, -2, 18228 in descending order.\nAnswer: 18228, 142, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*k*u**4 - 872*k*u**3 - 3*k*u**2 - 151*k + u**4 + u**3 + 75*u + 58 wrt u?\nAnswer: 696*k*u - 5232*k + 24*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j\/(j\/(j*j**(-6\/7)))))*j))**(-2\/111) assuming j is positive.\nAnswer: j**(2\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -732143 + 732143.459929. Let v = u - 0.46. Round v to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -12.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 6. Let i = 6 - p. Let o = -70\/11 - -431\/66. What is the nearest to i in -0.1, -2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Factor -3*b**3\/5 - 381*b**2\/5.\nAnswer: -3*b**2*(b + 127)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1001 + -243?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000015324 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let w be (-5)\/(10\/(-2))*-5. Let l(y) be the second derivative of y**3\/3 - 741*y. Determine w*k(m) - 4*l(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 + 3 = 0. Let s = y - -6. Solve 6 = -f + s*w, 4*f - 5*w + 8 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + -4*sqrt(114)*2 + sqrt(114) + (sqrt(114) + sqrt(114)*-2)*-1)\/(-3*sqrt(54)\/(sqrt(324)*1 + sqrt(324))).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 77*l**2 - 10*l. Let f(h) = -153*h**2 + 17*h. Determine -3*f(i) - 5*p(i).\nAnswer: 74*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-12) + ((-33937)\/(-4) - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 6 (c) 5 (d) -195 (e) 1.2 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*m - 101*m - 11 = 0. Which is the third biggest value? (a) 1\/9 (b) -1\/16 (c) -1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/(840\/(-2450))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**5 + 60176*l**3 + 3*l**2 + 143952*l - 2.\nAnswer: -40*l**3 + 361056*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = r - 3*t, 50911 - 52651 = -3*r + 286*t for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73442 or 73441?\nAnswer: 73441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 3*m - 2*m + (-2 - 1 + 4)*(6*m - 5*m - 2*m))*(-2*m + 0*m + 0*m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 12\/10*((-4929948)\/(-108) - 21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2023*w - 8077. Calculate y(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 + 2*l + 3. Let j be w(-2). Let p be 6\/j + (-1533)\/(-105). What is the greatest common divisor of p and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -410 - -3431003?\nAnswer: 3430153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2. Let b(m) = -4*m**2 + 169*m + 3. What is b(s(v))?\nAnswer: -16*v**4 - 338*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*16*(-1)\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 0.23 (c) 1\/3 (d) 2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -498 divided by -7753?\nAnswer: 498\/7753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/164 + 79\/13612. Let n = m - -569\/498. Let i = 1286 - 3856\/3. What is the common denominator of n and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00792856694 - 1.1.\nAnswer: -1.10792856694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 630549?\nAnswer: 630549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -17632450 to the nearest ten thousand.\nAnswer: -17630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 6*y**2 + 2*y - 11. Let v be o(-5). Let c = v + 0. Solve -3*z + 1 - c = 0, -4*d + z + 21 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.006383404 times 1.6\nAnswer: -0.0102134464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 6*a + 2 - 4*a**2 + 0*a - 2*a + a**3. Suppose -5*k = -5*v, v = -3*k + k + 15. What is i(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(6930\/1603) + 8\/18. Which is smaller: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14175680000 = -625*n + 657*n. Round n to the nearest 1000000.\nAnswer: 443000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - -0.03. Let j = -0.0499999 + x. Round j to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 1. Let t(i) = i**2 + 6. Let o(x) = 4*q(x) + t(x). Let c = -7 + 12. Give o(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1848 and 4718496?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by 16817.\nAnswer: 68\/16817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xom. Give prob of sequence mo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xikixkknxqkxqkxg. Give prob of sequence ikx.\nAnswer: 5\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtqxcxtsxxttxt. What is prob of sequence xxrs?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 + 11*s - 5. Let a be u(-7). Let o(n) = 21*n + 3. Let v be o(4). Suppose v = 4*k - a. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1350 is divided by 81?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 201 = 3*k + 195, -4*y = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1824 or 1094\/3?\nAnswer: 1094\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -76 + 162 - 78.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 11:39 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*m**3 - 4*m**3 + 3*m**3)*(-1 - 3 + 3) + 1 - 1 + m**3)*(-422558*m + 422558*m + 732*m**2).\nAnswer: 1464*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*o = 33591 - 15447 for o.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -8*d + 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -10403023?\nAnswer: -10403004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3 - 2947*h**2 - 21451 wrt h.\nAnswer: -3*h**2 - 5894*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/b*b**(-3\/4)*b)**(4\/5)\/(b**(-2)*b*(b\/b**(2\/3))\/b)**(-17\/6) assuming b is positive.\nAnswer: b**(-407\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24023 + 11?\nAnswer: -24012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -20 + 39 + 8*q**2 - q**3 - 19. Let w be v(8). Factor w*d - 9\/2*d**2 + 3\/2*d**3 + 6.\nAnswer: 3*(d - 2)**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p + 8*p)*(8 + 25 - 2 + (3 - 2 + 0)*(-3 + 3 + 1)).\nAnswer: 352*p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 10*y**2 + y - 11. Let l be x(10). Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 93, 9922, 26295, 49206, 78649, 114618, 157107?\n\"Answer: -f**3 + 3278*f**2 + 2*f - 3186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172877874 to the power of 1\/3, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**4\/4 - 2*t**3 - 3*t**2 + 7*t + 3. Calculate b(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - b - 23, -h + 1975*b = 1977*b + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1283736 plus 0.763186?\nAnswer: -1283735.236814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 8a0ab?\nAnswer: 8a0a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2801.4 and -8?\nAnswer: 22411.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 + 33. Let r = -65 + i. Suppose 0 = r*d - 49*d - 804. What are the prime factors of d?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -2.1?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, and 1 y when three letters picked without replacement from {a: 2, x: 2, y: 6, g: 3}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 4975b?\nAnswer: 49758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 10\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8*(2 - 3). Suppose -42 - 18 = -6*y. Suppose -4*n + y = -5*d, 4*d - 31 = d - 5*n. What is the third biggest value in d, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 7851.\nAnswer: 7851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 129 - (31 - (20 + 2))) + 6.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*3\/(-9)*-6. Let h = -9 - r. Let o(q) = q + 7. Give o(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*(z**(-1\/23)*z)\/z)\/z*z*z)\/z**35)\/((z*z**4)\/(z**(-2\/7)\/z*z)) assuming z is positive.\nAnswer: z**(-6010\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(8\/9)*m*m\/m**6*m)**(-4\/13))**(-3\/19) assuming m is positive.\nAnswer: m**(-4\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -313\/7 + 45. Let z = -11.74 + 5.95. Let j = z + 0.79. Which is the nearest to -1\/4? (a) j (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**5 - 185*b**3 + 128*b**2 - b wrt b.\nAnswer: -120*b**2 - 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2867726 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(57)\/sqrt(3) + sqrt(19)) + -4)**2 + 5)*-5 + 0 + (sqrt(475)*-2 + 3 + -5)**2.\nAnswer: -1621 - 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20 - (19 + 9 + -8). Is k <= 12\/359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/39603 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -5 - (1 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90962964, 90962962, 90962960, 90962958?\nAnswer: 90962956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -10417 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 22*p**2 + 53*p - 628. What is the thousands digit of f(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 7*f**2 + 3*f + 17. Let m be r(-7). Let h be 0\/(m + 7)*1. Solve -2*i + h*i = 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 912 + -906. What is the second derivative of -6*b**2 + 4*b**2 + 270*b + l*b**3 - 42*b + 9*b**3 - 2*b**2 wrt b?\nAnswer: 90*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7*s - 5890 = -5*o, o + 3554 = 3*s. Suppose -s = -p - 6*p. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 28. Let f = h - -29.6. Which is greater: -0.2 or f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((10 - 16) + -2) - -8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - s + 1. Let r(b) = -3*b**2 - 6*b + 3. Let w(o) = -o**2 - 62*o - 860. Let d be w(-21). Determine d*r(y) - 4*v(y).\nAnswer: -7*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-20))**(2\/41)\/((o**(-7)*o*o)\/o*o**30) assuming o is positive.\nAnswer: o**(-942\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1107\/8 - -129. What is the closest to k in 1, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 2191 + 911 = 0. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/8, -1, -1\/6, 4.2 in descending order.\nAnswer: 4.2, 3\/8, -1\/6, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -77. Let t = -9281.453972472 - -9357.453973. Let w = a + t. Round w to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448783 divided by 26399.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -41. Factor 2*k**g + 8 + 0*k**4 - k**4 + 0*k**4 + 8*k + 4*k - 3*k**3.\nAnswer: -(k - 2)*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-40))\/((-6)\/5). Let q = -2.629 - 0.371. Which is the closest to -0.3? (a) 0.2 (b) q (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 19*v + 256. Determine c(12).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49952 and 1398656.\nAnswer: 1398656","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-10)*(-35)\/(-2)*-12. What is the greatest common factor of 9 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 38751 = 5*y + 73076, 2*a - 2*y = 74554. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mms when three letters picked without replacement from {a: 1, f: 5, e: 2, s: 7, m: 3}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -12*w**4\/7 + 1450*w**3\/7 - 33934*w**2\/7 + 56944*w\/7 + 10440\/7 = 0.\nAnswer: -1\/6, 2, 29, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.26713.\nAnswer: -1.06852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1671326\/(-5))\/((-12)\/(-9)). Let y = s + 243566. Let a = 7143 + y. Calculate the common denominator of a and -81\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 42*b - 55. Let j = 18 + -43. What are the prime factors of o(j)?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*n - 2*n + 3*n)*(3 + 1 - 5) + 0*n + 5*n - 4*n)*(-7*n**3 - 2*n**2 + 4*n**3 - n + 0*n**2) to the form v*n**2 + z + c*n**4 + d*n**3 + a*n and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391 - 523 = -22*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21.55 - 355333\nAnswer: -355354.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.562769t in kilograms?\nAnswer: 3562.769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 22*p**2 + 28*p + 48.\nAnswer: -2*(p - 2)*(p + 1)*(p + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 4:36 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -87\/8 (c) 2.2 (d) 2 (e) 17 (f) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 5*b**2 - 9*b - 26. Give a(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*p + 1280, 5*m - 731 = 2*p + 876. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.27428 - 0.30428. Sort 17, -39, n in decreasing order.\nAnswer: 17, n, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97809456 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 5 = j + 5*u, 0 = 3*j - 5*u - 59. Let k be 4\/2 + (-3 - -2). Suppose -z + 4*g - j = -6*z, 2*g - k = 3*z. Solve -z - 1 = 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l = -68*l + 6*l + 16*l + 13*l, 2*b + 90 = 2*l - 5*l for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -12 - (2 + -1 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1344045 + 28.\nAnswer: 1344073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-360)*99)\/((-6)\/(-15))*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u. Let k be (-56)\/(-144) - (-4)\/(-18). Let s(a) be the second derivative of 0*a**3 + 0 + 0*a**2 - k*a**4 + 3*a. Give t(s(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - ((-11 - -32) + -7)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 626, 1559, 2806, 4367, 6242, 8431?\nAnswer: 10934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 12\/14077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5521 and -177.\nAnswer: -176.4479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4\/4 + 3*z**3\/4 + 15255*z**2\/4 + 30497*z\/4 + 7623\/2 = 0.\nAnswer: -121, -1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -16. Suppose 0 = 5*i - 314 + t. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 4*b**2 + 8*b - 9. Give i(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 3*(-4 + 3). Let v be f - 1 - (-5 + 1). Suppose -v*z + 235 = z. What are the prime factors of z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 142 - 0?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3656, 3664, 3672?\nAnswer: 3680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 6*f - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202122 - -2?\nAnswer: 202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/76 and -56\/2185?\nAnswer: 8740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -d - 3*j - 2*j, 0 = -d + 2*j + 48. Suppose -4*k = 3*t - 60, -2*k - 3*t = 2*t - d. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 212c + -5?\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.493 less than -25241.83068?\nAnswer: -25242.32368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*-2*sqrt(13)*5.\nAnswer: -360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14021*r**2 + 2*r + 307577.\nAnswer: -28042*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*m + 16 = 0, 4*m = m. Solve -5*x + r = 19, -4*x = -y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 5344 = 80*c - 404*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 3134015?\nAnswer: 3134012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*m - 117. Let y = m + 14. Let u = 4 - 4.4. Put u, 2, y in descending order.\nAnswer: 2, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-764)\/573)\/(1\/(-3)). Solve 3*i - 2 = -s*c, 3*c + 2*i = -0 + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -11. Sort p, -1, 4 in increasing order.\nAnswer: -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.6041*-465.\nAnswer: -7720.9065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 8*q + 1\/6*q**3 - 113 - 2*q**2. What is u in k(u) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 58?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 347, 783, 1395, 2183?\nAnswer: 3147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffca when four letters picked without replacement from cffanfffctnffc?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 318153629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2379953504 to the nearest integer?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) -0.6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -0.142 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 2\/9 (c) 43\/3 (d) 62 (e) -2\/7 (f) -9 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 24*j - 972 = 0. What is the remainder when j is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - r**3 - 16*r**5 - 2*r**2 - 7 + 3*r**3)*(-1 - 3 + 2).\nAnswer: 32*r**5 - 4*r**3 + 4*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 4*s**5\/15 + s**3\/6 - 10*s**2 + s. Let d(c) be the first derivative of r(c). Find the first derivative of d(z) wrt z.\nAnswer: 32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: What is the millions digit of 19949956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*a**2 + 885*a**2 - 284*a**2 + 11 - 11.\nAnswer: 245*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003347525 to seven dps.\nAnswer: 0.0000335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -51*d - 633. Let z be y(-13). Solve -z*j = 12 + 18 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 1. Let t be v(-5). Suppose 4*k - t*s = 215 + 129, -k - 2*s + 74 = 0. Let l = k - 9. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooebebebbb. What is prob of sequence ee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c - 2*r - 27, 0 = -5*c - 2*r + 99. Calculate the smallest common multiple of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2285445879, 4570891757, 6856337633, 9141783507?\n\"Answer: -h**2 + 2285445881*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 5:53 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -11*k. Let f(u) = -13166*u**2 + 19*u. Calculate p(f(x)).\nAnswer: 144826*x**2 - 209*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-9 - 3\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96683?\nAnswer: 109, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 262 - 2186*z**2 + 2188*z**2 - 320.\nAnswer: 2*z**3 + 2*z**2 - 582","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (818\/1227)\/((-2)\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 0 + (1 - 2). Let m(g) = -2*g**2 - g**3 - 4*g + 3*g**2 - 6*g**z + 3. Is m(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52.92 - 52. Round a to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -m - 2*k + 12, -4*m - 5*k + 48 = 0. Let z = m + 28. Calculate the highest common factor of 14 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**3\/7 - 1481*h**2\/7 = 0.\nAnswer: 0, 1481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:44 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86737 - 52853 = -4193*a - 158994 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 0*r**2 - 8\/3*r**3 - 41 + 0*r. Let s(j) be the second derivative of -j**4\/6 - 2*j. Determine g(s(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from zfffzfz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = -a, -154 = -f + 5*a. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -c80?\nAnswer: -c7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7466400 = -y - 35*y. What is y rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -37. Suppose -4*z - w = -3741, 5*z + u*w - 4851 = -156. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, -3, -18, -39, -66, -99, -138?\n\"Answer: -3*o**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 2312?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/585*(-6)\/(-8).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 874, -8, 9939 in descending order.\nAnswer: 9939, 874, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/66)\/4)\/((-35)\/(735\/14))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1449 + 1454. Is -0.298 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 30 = 5*k, 139*k + 6 = 138*k + 3*a for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*z - 3*z + 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 2*y + 1. Let j be (2 - (-20)\/(-8))\/(((-143)\/(-22))\/13). Let m(v) = 5 - 2 - 5 - v**3 - 2*v. Let s be m(j). Determine i(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-1))\/(12\/(-32)). Let w(g) = -g**2 + 9*g - 4. Let f be w(v). Suppose 2*t = -2*u - 18, u - t + 21 = -f*u. Sort 4, -1, u.\nAnswer: u, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 - 0.38. Let p = 0.6 - l. Which is the smallest value? (a) p (b) -2\/13 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -2\/3037, 0, -5\/6, -0.2, 0.8?\nAnswer: -2\/3037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 6*v**2 - 5*v + 5. Let b be z(5). Suppose -27 = -5*y + 13. Sort -1, y, b.\nAnswer: -1, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 12*o - 15. Let t be n(13). Suppose 872956 - 10672959 = b. Let y be b\/(-2) + ((-27)\/t)\/(-9). What is y rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*3*-4)\/(sqrt(54)*-2).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -12*x**2 + 10*x - 10. Let l(a) = a**2 - a + 1. Let b(o) = 10*l(o) + v(o). Let w(k) = 3*k**2. Calculate w(b(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxh. Give prob of sequence xhx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -406, -935, -1680, -2641, -3818?\nAnswer: -5211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294812733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/(-6) - (0 + -4). Let h(z) = -4*z - 4. Let x be h(i). What is the first derivative of 5*q + 4*q - x - 4 wrt q?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -3390, 2, 1\/2, 0, 6 in ascending order.\nAnswer: -3390, 0, 1\/2, 2, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 113*g**2. Let t(h) = -84*h**2 + 38*h**2 + 45*h**2. What is t(o(q))?\nAnswer: -12769*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16589958 is divided by 340?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 12*z + 15. Let s be c(-10). Let y(f) = f**2 + 5*f - 2. What is y(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*f - 11. Let o be 1*(-9)\/(-3) + 14. Suppose 13 = d - o. Calculate the highest common factor of d and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11275 and 1100.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91817200 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*c - 15, -5*n - 17 = -5*c + 8. Suppose 2*k - 11 + 5 = -3*b, 2*b + 12 = 4*k. Suppose c = -b*y + 6*y - 1356. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006864 to five decimal places.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 85 - 35 = 0. Let y be -1 + p - (-30)\/(-6). Suppose 0 = -3*h + 4*h - 3*n - 12614, h - y*n - 12615 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 5. Suppose -4*b - 5*s = 7, s + 31 + 4 = -5*b. Let j be m(b). Let r = j + -21. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(192) + (sqrt(192) - 1*sqrt(192)) + sqrt(192)) + -2 + sqrt(5)*1 + -3)**2.\nAnswer: -45*sqrt(5)\/4 + 2005\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*r**2 - 39 + 39 + 2*r - r**4 in the form h*r + u + m*r**3 + n*r**2 + k*r**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.0446 - 2.93. Round q to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**4\/11 + 11542*c**3\/11 - 5548816*c**2\/11 - 1850888*c\/11.\nAnswer: -2*c*(c - 962)**2*(3*c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 317483221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3213320, -3213317, -3213324, -3213347, -3213392, -3213465, -3213572, -3213719?\n\"Answer: -x**3 + x**2 + 7*x - 3213327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*(-1)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n + 1. Let s(b) = -53*b - 6. Let k(x) = -9*j(x) + s(x). Let v(h) = -10*h + 7. Give 6*k(m) + 13*v(m).\nAnswer: -16*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2031\/4 - 491. Let n = 33 + -31. Calculate the common denominator of j and (-25)\/n*(-5)\/(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/3 + 634*h**4 - 179906*h**3 + 39528938*h**2\/3 - 25815440*h + 12818400 = 0. What is h?\nAnswer: 1, 109, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0 - 1\/2*k**3 + 8*k + 0*k**4 - 1\/60*k**5 + 2*k**2. Let a(y) be the first derivative of l(y). Differentiate a(m) wrt m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2. Let l(m) = -6*m - 8. Let n(o) = -2*o - 7. Let t(y) = -2*y - 6. Let w(q) = 3*n(q) - 4*t(q). Let s(u) = 3*l(u) + 8*w(u). Determine h(s(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.9 or -39980?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/4 + 735427*o**3 + 540852872329*o**2.\nAnswer: o**2*(o + 1470854)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7) - 494\/(-133). Suppose a - 54 = -o, -b*o = -4*a + 2*a - 186. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192\/5*f - 4\/5*f**2 - 2304\/5.\nAnswer: -4*(f - 24)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 9. What is the remainder when a(10) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/99 + (-15)\/9*-8 + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1212 + 4?\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*d - 11 = 0, 3*x - 12 = x - 4*d. Suppose -x*j = m + m - 94, 5*m = -j + 190. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*s - 3, s + 0 - 2 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/r*r*r)\/r**4)\/((r*r*r\/r**(-18))\/((r**14\/r*r)\/r)) assuming r is positive.\nAnswer: r**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-99))\/((-12)\/54). Do d and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*h = 2886*h - 32778 - 1802 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8*z**2. Let a(u) = 21*u - 9. Determine a(y(s)).\nAnswer: -168*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dppwdjccpwodccc. What is prob of picking 1 o and 2 c?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-7)*s*s))\/(s*s**(2\/3)*s)*s**(2\/7)*s*s**(4\/3)*s*(s**(6\/7)*s)\/(s**(-4)*s)*(s\/((s\/(s\/(s\/(s**(-2)\/s))))\/s))\/s*s**(-4\/5) assuming s is positive.\nAnswer: s**(841\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 135*z - 136*z + 8, -r - 5*z + 28 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, b: 4, w: 4}. Give prob of picking 1 w and 3 b.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 250776685 and -54673?\nAnswer: 250831358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39560389.\nAnswer: 11, 157, 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -5*x - 5*x. Suppose 28 = 3*a + 5*u, 3*a = 4*a + u - x. Calculate the least common multiple of a and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -124, -1411, -3852, -7447, -12196, -18099?\n\"Answer: -577*m**2 + 444*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3011310 - 11?\nAnswer: -3011321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/(q**(-12\/11)*q)*q)*q*q)\/((q\/(q*q*q**(-11)*q))\/q))**(-33))**(5\/7) assuming q is positive.\nAnswer: q**(1005\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.1758 - -40.9758. Suppose 3*i - 5*w - 8 = 0, 5*w = 4*i + 1 - 5. Which is the biggest value? (a) y (b) i (c) -1\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (8\/(-5) + (-20)\/(-10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 3:22 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29051 and 333044.\nAnswer: 69606196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -248 (c) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -154*y - 21*y - 3956 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 1939 = 2027 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.0026619 nanometers?\nAnswer: 0.0000000000000026619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3 - 2. Let u(b) = 2*b + 12. Let o be u(-4). Suppose w + 3 = -o*n - 5, n + 3*w + 2 = 0. What is the biggest value in l, -2\/13, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*j + 4*x + 43, 4*j - x + 68 = 0. Let z(p) = 67 - p - 19 + 2*p. List the prime factors of z(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/2, 5, -126?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s**3 - 7*s**2 + 7*s. Let f = 15 + -16. Let c be 3 - f - 6\/(-2). Let r(y) = -9*y**3 + 6*y**2 - 6*y. Give c*r(j) + 6*g(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from kxxkl.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1055 + 1542. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*a - 654*a = 44 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 31. Let w be (p\/1)\/(-3 - -2). What is the highest common divisor of w and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/5? (a) 71\/14 (b) 0.2 (c) -0.5 (d) 129 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 39*t + 35*t = -24, 0 = 5*m - t + 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtbt when four letters picked without replacement from qqtxxttxxotbtxxtb?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36222 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2752 rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -2.5. Let o = 7 + -2. Let x = -4.8 + o. Put x, 2\/5, p in descending order.\nAnswer: p, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12952 = -4*z, -4*z + 10848 = -3*y - 2104. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + 24*d**5 - d**2 - 50*d**5 + 25*d**5)*(-3 + 0 + 0).\nAnswer: 3*d**5 - 6*d**4 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + -1)**2*-3 + (sqrt(32) + sqrt(128))**2 + sqrt(56)\/sqrt(7))*-3.\nAnswer: -567 - 78*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/57 - (-68)\/(-377910)*-414?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 114, 172, 230?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/3)\/(n\/(n*n\/(n*n**(-24))*n))*(n\/n**(-2\/17))\/(n**(3\/10)\/n*n) assuming n is positive.\nAnswer: n**(12997\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-349 + 37 + 14)*(-1 + 0 - 2 - f) + (0 + 2 - 1)*(-f - 2 + 2).\nAnswer: 297*f + 894","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79\/8)\/((11\/(-1364))\/((-416)\/6448))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40836 divided by 498?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 95, 132, 199, 302?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20870\/4751 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + p. Let y(w) = 109*w**3 - 3*w**2 + 3*w. What is 3*c(u) - y(u)?\nAnswer: -109*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9879593 is divided by 214773?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 19*n + 103. Let z be l(-23). Suppose 13 = 2*f + 2*h - 1, -f - z = -5*h. Solve f*v = -0*v + 2*j - 10, 3*v + 4*j + 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1133 times 0.4?\nAnswer: 0.04532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*p - 241 + 286 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(2\/2 - (-75)\/(-15)). Let p = 0.042 - -0.058. What is the nearest to z in p, 2\/13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -396*j + 2. Let r(t) = 27. Let a(h) = -h - 135. Let u(y) = -a(y) - 5*r(y). What is u(o(b))?\nAnswer: -396*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-55)\/(-15) - 3). Suppose -4*z = 5*t + 17, 4*z - 7*t = -p*t + 28. Find f, given that -6*f**2 - f**3 - 2*f**z + 9*f**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 212?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 r when three letters picked without replacement from {x: 3, r: 1, n: 10, f: 1, s: 2}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 12*a - 12. Determine d(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2991, -64, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2382 - 1652. What is the highest common factor of 90 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5, -2\/5, 4 in descending order.\nAnswer: 4, 0.1, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 3*r + o, 0 = 3*r + r + 2*o - 230. What is the remainder when 153 is divided by r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -323\/3 - -109. Find y such that 2\/3*y**3 - p - 2*y + 0*y**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 15612?\nAnswer: -15601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k + 42 = 0. Let q be (-6)\/(-4)*(-16)\/(-6). Suppose 2*d + 3*m - k = 7, -4*d = q*m - 36. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 489*j**2 - 19680*j + 20172.\nAnswer: -3*(j - 1)*(j + 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89110977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/15*u**2 + 4\/15 - 26\/15*u.\nAnswer: 2*(u - 1)*(11*u - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 934.1804 litres?\nAnswer: 934180.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3 + -5 + 2) - 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/12 and 67\/474430.\nAnswer: 2846580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/168)\/(2\/14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13228*s + 42*s**3 + 10*s**3 + 4410*s + 4412*s + 7 + 2*s**2 + 4403*s to the form f*s**3 + z*s + l + u*s**2 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -630454\/17 and -37085 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79871542379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 27397 + 27368 = 0 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9717571 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 1403*p + 5679. Let t(w) = -4*w**2 + 4208*w + 17032. Let f(g) = 8*s(g) - 3*t(g). Factor f(q).\nAnswer: 4*(q - 354)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 divided by -5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = 275*d - 272*d - 111, -2*x + d + 27 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(5)*-2 - sqrt(5)) - -1*(sqrt(3) + 1) - ((sqrt(3) + sqrt(12) + -3)*-6 + 3))**2.\nAnswer: -2240*sqrt(3)\/3 + 4336\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(240))\/sqrt(8))\/(sqrt(6) + -5*sqrt(294)).\nAnswer: 3*sqrt(5)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13198.\nAnswer: 2, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 37. Suppose 7*p = i*p. Solve p = -3*u - 2*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.57063569 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3770 and 0.008.\nAnswer: 30.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8739985 decades in centuries?\nAnswer: 0.08739985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6174 divided by 147?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1050)\/(-63)*-40*(6496 - 4). Round c to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-715) - (100\/(-55) - -2).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 - -76. What is the remainder when 13 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 + 15*x - 23. Let t(d) = 8*d**2 - 44*d + 69. Let i(q) = 17*f(q) + 6*t(q). Let o be i(2). Let k(a) = a + 7. Calculate k(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 10*z + 46. Let n be d(-3). What is the highest common factor of 64 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412345747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -406, 3, -1, 4 in decreasing order.\nAnswer: 7, 4, 3, -1, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 337540233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2144 = 880*a - 881*a. Does 81 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 - 678 = -5*r. Let g = 5 + r. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.67538 less than -4?\nAnswer: -26.67538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40, 58, 102, 184, 316, 510, 778, 1132?\n\"Answer: 2*g**3 + g**2 + g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57979032 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 47*o**2 - 86*o - 154. Let t be f(45). Suppose 16*h = t*h - 1010. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55.32 - -55.52. What is the fifth smallest value in -1, 0, 2\/11, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 0.09145.\nAnswer: 0.90855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7148393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7234209635222007 + 7234209635222007 - 6*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 846701 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifhfpippifhpif. Give prob of sequence hhp.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 7:39 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/((-6)\/4). Let v = -4 - -6. Which is the closest to p? (a) 4 (b) v (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5326500 rounded to the nearest 100000?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 0.1751431.\nAnswer: 0.3751431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r + 11*r + 141 = 73*r + 861 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 2. Let z be r(3). Let b be (-1)\/1*(-3 + z). List the prime factors of 24 - (-3 - b - 1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2. Let p(n) = 638*n**2 - 99*n - 99. Let o(l) = -13*l**2 + 2*l + 2. Let u be 15 + -112 - (-2)\/(-1). Let y(t) = u*o(t) - 2*p(t). What is y(c(k))?\nAnswer: 11*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4\/3, 1, -93, -3 in increasing order.\nAnswer: -93, -3, 1, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/756 and -197\/840?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.064 - -0.964. Sort -2.95, h, 3.\nAnswer: -2.95, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -u + 3*s, -3*u - 4 = -s + 3. Let m be (-40)\/(-30)*u\/(-8)*6. Suppose f - m*l - 885 = 0, 0 = 4*f + 6*l - 4*l - 3580. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 66*s + 205. What is u(-69)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -427.06 - -422. Let z = r + 0.06. Let o = z + 7. Which is the nearest to 1? (a) o (b) -0.4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -41*q - 18. Let c(f) = 79*f + 37. Determine 6*c(s) + 11*p(s).\nAnswer: 23*s + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -648, -1300, -1952, -2604, -3256, -3908?\n\"Answer: -652*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 - 533\/4. Which is greater: u or 0.11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 3*m**2 + 16*m - 6. Let p be g(-6). Let q be (9 - 8) + p\/(-7). Which is the second biggest value? (a) q (b) -0.8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -0*v - v - 3*u, 2*v - 14 = 2*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2979\/(-4634))\/((-3)\/(-1))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38303708?\nAnswer: 2, 127, 75401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -912, -7904, -26906, -63930, -124988, -216092, -343254, -512486?\n\"Answer: -1002*j**3 + 7*j**2 + j + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 6*q - 8. Let o be k(6). What is the greatest common factor of 112 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 0*q**2 - 1\/6*q**3 + 0 + 9*q. Let l(g) = -13 + 13 + 5*g. Determine v(l(o)).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -4*v**2 + 1. Let b(t) = -71*t + 2 + 72*t - 2. Determine q(b(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -13*g - 11. Let x be h(-1). Factor -2*a**x - 79*a - 32 + 22*a + 37*a.\nAnswer: -2*(a + 2)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 740609581 to the nearest integer?\nAnswer: 27214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**3\/3 - 6*m**2 - 24*m - 19. Let z be x(14). Solve -4*o - 5*t = -9, z*o - 2*o = -4*t + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 164, 166, 168, 170?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/120 - 13*p**5\/60 + p**4\/3 - p**3\/6 + p**2. Is h(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3510*y**4 + 4584*y + 1 wrt y?\nAnswer: -42120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 4:02 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 651938811, 1303877621, 1955816443, 2607755283, 3259694147, 3911633041, 4563571971, 5215510943?\nAnswer: 5867449963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -22, -18, -0.2, -3\/4, 0.2273?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -559, 5\/407?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 787 = 4*c - 7*g, 757 = -4*c - 3*g. Let z = c - -182. Let t(s) = -s**3 - 11*s**2 - 3. What is t(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/146 and -48\/11.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l. Let h(j) = -15*j. What is h(k(w))?\nAnswer: 60*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 1:53 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -892 + 1327. Let h = -115 - -117. Suppose -4*a + b = -s, -h*a = a + 3*s - 315. Calculate the greatest common divisor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000940378068 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 23129937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 7*f - 4. What is the second biggest value in f, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1606 and -38\/1586217.\nAnswer: 34896774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, -2, -24, -66, -134, -234, -372?\n\"Answer: -n**3 - n**2 + 2*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46727837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/18 - 2\/(-3). Let u(r) = -9*r**f - 3 - r + 3*r + 11*r**2. Give u(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h + 11*h + 14*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*d + 1649 = 104*d - 1328 - 10726 for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 times -0.8\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 78.273?\nAnswer: 78.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (4\/28)\/((-5)\/115). Let k(f) = -f**2 - 4*f - 4. Let v be k(-4). Which is the third smallest value? (a) v (b) -1\/2 (c) 0.1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)*x**(5\/6))\/(x**(-1\/4))**(1\/23))**(-4) assuming x is positive.\nAnswer: x**(319\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 37 = 5*w, -2*w = 4*j - 6*w - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c - 112. Suppose 9 = 8*v - 231. Is u(v) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 60*f**3 - 10*f**2 - 48*f + 49. Calculate u(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1376 + 7590 = -315*g - 2291 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14477777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 - b**5 - 3*b**5 + (-b**5 + 6*b**5 - 18*b**5)*(4 + 1 - 6) + b**5 - b**2 + b**2.\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4966168*g = w - 4966166*g + 12, 5*w - 17 = g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b - 164. What is k(37)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 - 4*u**2 + 78*u**3 - 52*u**3 - 67.\nAnswer: 26*u**3 - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/6955 and -61\/57655.\nAnswer: 6169085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s + 1. Let i(g) = 2*g**2 + 25*g + 21. Let m be i(-10). Let y = 28 + m. Calculate x(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {q: 4, e: 2, u: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2115488095?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**4 - 6963*r**3 - 4152510*r**2 - 129084384*r + 274834560 = 0.\nAnswer: -1144, -35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*t - 12*t**2 - 52*t)*(412 + 180 - 2034 - 315 - 2329 - 662).\nAnswer: 56976*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-1))\/(5\/(-10)). Let z = u + -30. Is z\/(-3) - 4\/(-6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o. Let i = -4 + 1. Is 18 a factor of r(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 (base 6) in base 12?\nAnswer: 14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q - 9. Let v = q + 3. Let x(h) = -h**2 - 10*h + 2. Is x(v) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}