diff --git "a/data/dm_maths/full_data/11163_11255.jsonl" "b/data/dm_maths/full_data/11163_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11163_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate -125524340307 + 3.69.\nAnswer: -125524340303.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74316 = -5*a - 941*x + 940*x, 0 = -4*a + 5*x + 59447. Calculate the highest common factor of 89 and a.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 10. Find the common denominator of 134\/48 - (-6)\/k and -101\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3887 = 1790*a - 2089*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*k + 13*k = -7160328. What are the prime factors of k?\nAnswer: 3, 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/5 + (-6)\/(-15). Let l = 0 + v. Find the second derivative of -l*a**4 - 2*a + a**4 + a wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4329 - 4329 - 5975*k**2 + 563*k**2)*(2 + 0 - 3).\nAnswer: 5412*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 16, 3*k - 3*f - 4 = 50. Let l = -38 + 65. Calculate the remainder when l is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/251, -2\/5, 0.08 in decreasing order.\nAnswer: 0.08, -1\/251, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 6. Suppose -k + 16 = 3*k + 2*r, -5*r = 3*k - 12. Let s be z(k). Let o(l) = -4*l + l - 14 + s. Let v(h) = 2*h**2. Determine v(o(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1614, 5599, 16486, 37725, 72766?\n\"Answer: 575*i**3 + i**2 - 43*i + 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 12*p - 10. Let t be g(-13). Solve 4*l + 1 = -t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2 and -145\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 3*p**2 + 8*p + 5. Let f(j) = -2*j**3 - 9*j**2 - 7*j - 11. Let o be f(-4). Let q(x) = x**3 - x - 1. Determine o*l(v) + 5*q(v).\nAnswer: 4*v**3 - 3*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -111821 times -0.1\nAnswer: 11182.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 6010.\nAnswer: 54090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 53, 77, 99?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a hour in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547457 is divided by 541?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -12.1. Which is the nearest to -2? (a) w (b) -2\/3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9368.527mg?\nAnswer: 9.368527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 20154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (131 - 133) + (-2 + -14 - 1) - (32 - 29)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7647 + 9*p + 32*p + 3888 + 3844.\nAnswer: 41*p + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4117\/6 + -18584\/27. What is the common denominator of o and -13\/57?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -80, -83, -86, -89, -92?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5.87+-66\nAnswer: -60.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35573052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 85859 = 11*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1091276, 2182554, 3273832, 4365110, 5456388?\n\"Answer: 1091278*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 18*u - 11*u**2 + 7*u - u**2 + 4*u**2 - u**2 + (3*u - 3*u + 2*u)*(-1 + 1 + 2*u) + 0*u**2 - u**2 + 2*u**2 in the form d*u + a*u**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8919501689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 148*n - 147*n - 2, 0 = -2*n + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llml when four letters picked without replacement from mlmlml.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -49187524.\nAnswer: 3\/49187524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-2 + (7 - 8))) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2770726 is divided by 324.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2897a (base 12) in base 6?\nAnswer: -1114234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) -2\/5 (b) 1\/7 (c) -2 (d) -1415\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 5:23 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + 0*s + s**2 - 40623*s**3 + 40622*s**3 - 9*s**4 + 3 as t + c*s**2 + r*s**3 + y*s + q*s**4 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*v - 12 = 0, 4*u - 27 = 2*v + 21. Suppose 8*g = 10*g + 42. Let b = g + u. Let j(z) = z**2 + 5*z - 2. Determine j(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515 = -8*z - 933. Let f = 181 + z. Solve f = -2*y + 7*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 8*w**2 - 11*w - 10. Determine x(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251, 502, 753, 1004, 1255, 1506?\nAnswer: 1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/572916 and 29\/136?\nAnswer: 19479144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 240282.7 and 1.\nAnswer: 240283.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/31, -10, -23, -12, 0.3.\nAnswer: -23, -12, -10, 0.3, 16\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*w - 24*w + 3*w + 3*w + w - 2*w + (-50 - 56 + 112)*(4*w - w - 4*w)*(0 + 5 - 2).\nAnswer: -44*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffkzkfffzfff. Give prob of sequence fz.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-2*n + 0 + 0)*(12*n + 16*n + 8*n)*(6*n + 25*n + 8*n).\nAnswer: 5616*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uauffa. Give prob of sequence uu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -67.06691 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21935 and -3.\nAnswer: 21932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 1, c: 8, j: 9}. Give prob of picking 1 j and 1 d.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Let b be 12\/9*g\/2. Find the third derivative of -7*u**2 - 4*u**5 + 6*u**5 + 5*u**b wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -538\/5 - -5818\/55. Which is the smallest value? (a) 3 (b) g (c) -0.5 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6375\/(-850))\/(30\/(-36)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + t**3 - t**3)*(-240 - 22 + 2*t + 4*t**2 + 51).\nAnswer: -8*t**5 - 4*t**4 + 422*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6730.873l in millilitres?\nAnswer: 6730873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1124.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(1539)).\nAnswer: -36*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -14. Suppose 0*i + 4*y = -4*i - t, -y - 4 = 0. Suppose -5*g - i + 12 = 0. What is the nearest to 2 in 1, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2 = -m + 10, -f = -4*m + 10. Let d(w) be the first derivative of 1\/25*w**5 + 1\/5*w**4 + 1\/5*w**m + 9 + 1\/3*w**3 + 0*w. Find q such that d(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 - 3*p**2 - 8*p + 9. Let w(v) = -v**3 - v**2 + 2*v + 3. Let i be w(-2). Let l be (-15)\/(-4) + i\/12. What is the tens digit of z(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346390.9 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 85. Suppose 3*y - 2*y = b. Let u = 72 - y. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273 and 3274453.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlmq when four letters picked without replacement from {m: 2, l: 3, q: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r + 5*r + 0*r + 4*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctcrc. Give prob of picking 2 c and 1 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*u + 6*v - 18, 23 = 2*u - 3*v. Suppose -u*z - 218 = -729. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-6 + 2)) + (-1 - -3) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**5 + 3849*d**4 + 865862*d**3 - 29428703*d**2 - 37917216*d - 7626496 = 0.\nAnswer: -496, -1, -1\/4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/10)\/1 + (-36)\/(-90)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {w: 2, y: 1, k: 1, j: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 - 32*c**3 + 4*c**3 + (-c + c**2 + c)*(4*c + 2*c - 5*c) + (-c + c + 3*c)*(0*c**2 + c**2 + c**2) as m*c**2 + n + z*c + l*c**3 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2.3. Suppose -2*j + 5 - 1 = 0. Let m = 0.9 + -0.4. Which is the third biggest value? (a) j (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 11*v**2 - 59*v - 231. Let i be r(-7). Suppose 0 = k + 3*x + 15, 3*k + 2*x - 5*x - 3 = 0. Sort 3, k, i.\nAnswer: i, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -26*m**4\/11 + 6416*m**3\/11 - 321724*m**2\/11 + 4547824*m\/11 + 1066710\/11 = 0.\nAnswer: -3\/13, 31, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -524*s**5 + 12664*s**4 - 36324*s**2 - 510*s wrt s?\nAnswer: -31440*s**2 + 303936*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 11\/(-3))*-3. Let j = m - -15. Factor 3*x**5 - 3*x**j + 3*x**2 - x**4 - 9*x**3 + 6*x + x**4.\nAnswer: 3*x*(x - 2)*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 + 2*x**4 - 2*x**2 + 46 + 2*x**2 + 5 + 51759*x - 51756*x in the form a + v*x**4 + m*x**3 + z*x**2 + o*x and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 6) to base 12.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**4 + 695*p**2 + 151*p. Let y(j) = -9*j**4 - 696*j**2 - 151*j. Let h(f) = -8*m(f) - 7*y(f). What is the second derivative of h(s) wrt s?\nAnswer: -12*s**2 - 1376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (360 - 18*x**4 - 360 - 6*x**2)*(-x - x + 3*x).\nAnswer: -18*x**5 - 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 68*w**2 + 20*w + 1360. What is z(-68)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4294744 rounded to the nearest 1000?\nAnswer: 4295000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 8:40 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/6*6 + 14. Is (74\/4)\/(y\/66) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-260)\/70*(-193)\/2509?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/10*60688\/(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001000 (base 2) to base 9.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3360149\/70 - -173616\/5. Let o = 13271 + k. Let y = -4075\/3 - -40789\/30. What is the common denominator of y and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2685947 * 61.\nAnswer: 163842767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 295 - 296. Let k be (-3)\/12 - 673\/(-4). Is 7 a factor of k\/9 + s\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1539))*-2*2.\nAnswer: -36*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8690.\nAnswer: 2, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/3)\/(-7) + 3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52639158 divided by -5?\nAnswer: 52639158\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*b - 0 + 279, -b - 5*d = -93. What is the third derivative of b*c**3 + 137*c + 4*c**2 - 61*c - 37*c wrt c?\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2188571 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/546 and 11\/18.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 0*h + h - 4*h - 6*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + l)*(-l - 2*l + 4*l)*(-1 - 10 + l**2 - 6).\nAnswer: l**4 - 17*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125595*q**2 + 260 - 260.\nAnswer: -125595*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 8*t + 76. Let g be n(-11). Differentiate 16*a**2 + 12*a**2 - 11 - 3 - g with respect to a.\nAnswer: 56*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-2)\/3 + (-52)\/78?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(119) + (-6*(sqrt(119) - 2*sqrt(119)) - sqrt(119)) + sqrt(119))\/(sqrt(28)\/sqrt(4)*-2))**2 + 5).\nAnswer: -4265\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -366 and -0.02.\nAnswer: 7.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 475.04 + -492. Let v = 17 + l. Let d = v + -0.0452. Round d to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*i**3 + 105*i**2 + 190*i - 13.\nAnswer: -60*i + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.03, -5, -72?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from {f: 1, x: 1, n: 2, a: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.31 + 0.11. Let g = -36\/5 - -98\/15. What is the biggest value in -0.3, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-4 - 19) - -1) + (10 - 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4695 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*s + 14 = 5*s, 0 = -5*z + 3*s + 25. Let m be 1\/(-5) - ((-312)\/30)\/z. Suppose 5*f - 110 = -5*v, 0*v = m*f + 4*v - 112. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-335514 + 1334*t**3 + 335514)*(-4 + 5 + 1).\nAnswer: 2668*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let b(p) = 243099*p**2 + 11. Give h(b(d)).\nAnswer: -243099*d**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -201, -204, -209, -216?\n\"Answer: -y**2 - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3691351200?\nAnswer: 2, 3, 5, 541, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 14. Let g(u) = -15*u - 4 + 3 + 7*u. Calculate the remainder when m is divided by g(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 33 + 7. Let q(d) = -d**3 - 4*d**2 - 4*d - 1. Let y be q(-3). Solve 0 = 6*v - z*v + y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 833 + -1683. What is d rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2607*y - 7813. Give o(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23599120 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 8:36 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -731 - 509. Let x = b + 240. Suppose -4*n - 2 = 18. Is n >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e748 (base 16) to base 6.\nAnswer: -2401304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 4, c: 2, p: 7}. Give prob of picking 2 c.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 5*g - 1. Suppose 0 = -3*a + 6 + 6. Determine j(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**3 + 7*a**2 - 4*a + 6. Let v(x) be the second derivative of x**5\/5 + x**4\/2 - x**3\/2 + 5*x**2\/2 - 7*x. Calculate 5*t(f) - 6*v(f).\nAnswer: f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3200 (base 5) to base 16.\nAnswer: 1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 6:37 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24 - -151564079024.\nAnswer: 151564079023.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -2 (c) -2\/5 (d) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6552 (base 7) to base 11.\nAnswer: 1838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*i + 3 = 0, 43 = -3*a + 2*i + 38 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -178503\nAnswer: -6\/59501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - 5*o**3 + 5*o**3 + (-2*o**2 + 3*o**2 + 0*o**2)*(-o + 0*o + 3*o) + 2*o**3 - o**3 + 0*o**3 + 2*o**3 + 3*o**2 - 3*o**2 + 6*o**3 + 5*o**3 + 16*o**3.\nAnswer: 33*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpwwwwwwpwwwwwwwwww. Give prob of picking 4 w.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - 59 - (-21 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134\/5 - -27. Which is the closest to -3? (a) -1\/2 (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-28) - (-732)\/1764. What is the nearest to 0.1 in s, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6041.9 and 2403611?\nAnswer: 2409652.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 407219 bigger than 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -7. Let x(o) = -o**2 + 3*o + 2. Let r be x(3). What is the closest to 0 in r, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - d + 9, -4*v + 3993*d = 3998*d - 35 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i = i + 44 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**3 + 2*x**2 - x + 4. Let g be t(-3). Is 0\/(-2) - g\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133731 and 72657?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 4. Suppose 2*b = 4*b - 10. Let n = b - h. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358232 minus -3?\nAnswer: -358229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4\/3*b - 2\/3 + 0*b**2 + 2\/3*b**4 + 4\/3*b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2193*k + 24115. What is v(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73817682?\nAnswer: 2, 3, 12302947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 701798 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 261199*w. Let m(b) = -6*b. What is m(j(f))?\nAnswer: -1567194*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**13\/w*w**(1\/30)*(w**10)**(8\/17) assuming w is positive.\nAnswer: w**(8537\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 148, 135, 122?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/70 in 1, -1, 29.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 2*n**2 + 3*n - 1. Let k(o) = -6017*o**3 + 121*o**2 - 45*o + 17. Let z(i) = k(i) + 15*x(i). Find the third derivative of z(c) wrt c.\nAnswer: -36192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1858 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29105 + -17261. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001020 (base 3) to base 7\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10057 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**6\/3 - 3*s**2\/2 + 15. Find the second derivative of w(i) wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/10640 and 71\/224.\nAnswer: 21280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/(3 + 14\/(-8)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 527*n - 14291 = 496*n. What is the remainder when n is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -18. Let u be 4\/(-2) - 2*-13. Suppose -2*x - 2*c + u = 2*c, 9 = 3*c. What is the lowest common multiple of x and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*x + 3 = -6*x, 4*f - 36 = -4*x. Let l(r) be the second derivative of f*r + 0 + 8\/3*r**3 - 13\/2*r**2. Differentiate l(c) with respect to c.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 51*r - 2025. What is y(39)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/7*(5 - 9). Sort g, 6, -1, 2 in increasing order.\nAnswer: g, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 14*f - 1. Let j(s) = -4*s. Let w(x) = c(x) + 3*j(x). What is w(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 930631931 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93 - 240. Let l be (-4 + 0 - q) + -5. What is the greatest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*m - 103446, 2*j - 4*m + 51718 = -6*m. Let i = -114256 + j. Let o = 40120 + i. Round o to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7.51 (b) -0.3 (c) 0.1 (d) -5 (e) -1524 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 109*x - 109*x + x**2 + 3. Let i be l(0). Suppose i*y - 35 = -2*h, -2*y + 5 = h - 13. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -5, -1.84, 2, 3\/7, 325, 0.1?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/(-15))\/(20\/18)*(-1590)\/(-477)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r**3 - 36581 + 36581 - 5*r**3 - 6*r**3 - 31*r.\nAnswer: 5*r**3 - 31*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 935.5162cm in meters?\nAnswer: 9.355162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.5? (a) 2.3 (b) 2 (c) -22 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/4 - 230763*m\/4 + 519237 = 0. What is m?\nAnswer: -230772, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41349, 82739, 124131, 165525, 206921, 248319?\n\"Answer: r**2 + 41387*r - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(-5*14\/(-420))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/14)\/((15\/(-147))\/((-640)\/896)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(5\/2))**(-31)*d**(-45)\/(d**(-4)*d))**(-47) assuming d is positive.\nAnswer: d**(14147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**3 - 5*i**4 + 7*i**3 - 7*i**4 + 5*i**2 + 5*i**4 to v*i + c + w*i**3 + o*i**2 + g*i**4 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(4\/10 - (-310)\/(-25)). What is the units digit of ((-12)\/p)\/(2\/476)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -16. Which is the smallest value? (a) -37 (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9333 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 17*v + 11. Let u(f) = 33*f + 21. Let t(r) = -11*r - 7. Let y(i) = 11*t(i) + 4*u(i). Give 5*q(l) - 8*y(l).\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -717, 1, 4 in descending order.\nAnswer: 6, 4, 1, -1, -717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 93097, 93096, 93095, 93094?\n\"Answer: -a + 93098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31484.\nAnswer: 2, 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 4, 6, -2 in ascending order.\nAnswer: -2, 4, 6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472088325?\nAnswer: 3, 5, 6294511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21669240 divided by 5\nAnswer: -4333848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u + 7 - 2 - 5. Suppose 0 = 2*n + s + 6, 2*n + 15 = -2*s + 5. Let r be ((-15)\/20)\/((-2)\/(-8)). Let y(q) = q. Calculate n*f(m) + r*y(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/7052 and 10\/369?\nAnswer: 63468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*s = -11, -4*u - 7 = 5*s - 36. Solve 2*v = -3*v + 3*w + 5, v - 3*w = u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Let s(l) be the first derivative of 3*l**4\/4 - l**3\/3 + l**2\/2 + l + 3. Suppose 6*m - 4 = 2. Let r be s(m). Solve -10 = -3*b + r*b + 5*v, -3*b = -v + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44479.868481 - 44525.968. Let g = x + 46.1. Round g to five dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -30.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1690050434 to the nearest integer?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8861180, 17722416, 26583652, 35444888, 44306124, 53167360?\n\"Answer: 8861236*m - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y - 9. Let l be u(-2). List the prime factors of (2 + -3)\/(l - -2) + 34.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 20 = -x, 17496*a = -2*x + 17510*a - 80 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -609.3979 rounded to the nearest ten?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (204\/8)\/((-1)\/(-2)). Suppose s = b + 13. Suppose 4*p = -q + 58, 2*q + 0*q = 3*p - b. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 23 = 2*p, 3*p = 2*h + p - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2461092633 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 135484443793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 8*g = 6*o + 7*g + 14, -322 = -2*o - 20*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.6 + 7.7. Let w = -395 + 392. Let i = l + w. Which is the third biggest value? (a) i (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 23*h. Solve 18*x - 16*x = h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 3:24 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 554235 divided by 206\nAnswer: 554235\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 11:23 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kddkkkkkkkkkdkkdkk. What is prob of sequence dkdk?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 165 = -0*p. Let v = p - -73. Suppose -5*k = -k - v. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 22. What is the derivative of 7 - 5 + r + 8*c wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211901 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f - f. Suppose -f*r = r. Suppose r = l - 0*l - 10. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2853*c. Let m(d) = -128388*d. Calculate -91*i(p) - 2*m(p).\nAnswer: -2847*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230720859.\nAnswer: 3, 8545217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**3 - 1052*b + 12*b**2 + 1052*b to v*b + x*b**2 + j + s*b**3 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, -5\/6, 5, -1 in descending order.\nAnswer: 16, 5, 2, -5\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 800, 1582, 2316, 2978, 3544?\nAnswer: 3990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/14)\/(240\/(-168)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 + 27349\/21. Let v be o\/31 + 0 + 2 + -2. Sort v, -3, 3.\nAnswer: -3, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 != 2\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 13\/60*r**5 + 23\/36*r**3 + 83 - 3*r - 47\/48*r**4 - 1\/72*r**6 + 2*r**2. Solve v(f) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 3*r**2 - r + 6. Let s be p(3). Suppose -3*q + 4*q - 58 = -2*m, q - 63 = s*m. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r. Let q(t) = -2*t. Let z(x) = d(x) + 3*q(x). Let b(h) = 6 + h**2 - 24 + 8 + 10. Give z(b(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1411*s + 10058. Determine a(7).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23\/4 - 5. Let z be 2*9\/22*120. Let n = 98 - z. What is the closest to n in 0.3, a, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2335617?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 6)*-2 + 4*-1. Let h be (2\/m)\/(44\/(-88)). What is the closest to 4\/41 in -0.4, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5*k + 5*x = -5443, 2*x = 3*k - 16316. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -31*u - 107. Let l(t) = 31*t + 100. Let c(w) = 3*l(w) + 2*m(w). What is c(-5)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160691585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1832942 is divided by 916260.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*o + 3*f, -32*o + 29*o = -5*f + 22 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 192 - 193.09. Let h = 1.06 + q. Let y = 0.2 - 0.4. What is the closest to -0.2 in y, -2\/13, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2172 is divided by 133?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8703 + 25329 - 13202 = 657*h - 15962 for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 4243497.\nAnswer: -1\/1414499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 30 = -17*a + 4*d, -a = -d. Suppose -a*x + 72 = -3*b, 27 - 7 = 3*x + 4*b. Solve 3*s = x, 0 = 3*q - 4*s + 23 + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 153414 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 400 (base 5) to base 12\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**4 - 25985*m**3 + 35125380*m**2 - 3490266240*m - 46986255360 = 0 for m.\nAnswer: -12, 121, 2544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - 27 - (-7 + 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q - 5. Let l(b) = 20*b - 14. Let d(x) = -17*h(x) + 6*l(x). Suppose a = -3*g - 2, 4*a + 61 - 41 = 0. Let y(c) = -4*c - 4. Calculate g*y(i) + 3*d(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 2\/13, -1\/4, -1\/15, 93\/20.\nAnswer: -3\/7, -1\/4, -1\/15, 2\/13, 93\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -259.3 - -156.06. Let w = -0.24 - l. Let z = -97 + w. Put 4, z, -0.2 in ascending order.\nAnswer: -0.2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8088 and 734808?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8040?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 5\/27 (c) 0.5782 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - -5.04. Which is the biggest value? (a) u (b) 1\/3 (c) -5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2111 or -2112?\nAnswer: -2111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and -12.8.\nAnswer: 460.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611 + -2412 + 3 + -93?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j**3 + 6*j**3 - 9*j**3)*(3*j - 3*j + j**2 + 0*j**2 + 0*j**2 - j**2 + (1 - 2*j**2 - 1)*(6 - 1 - 3) + 2*j**2 + 0*j + 0*j).\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0 - 6. Let r = 6 + x. Solve 0 = -2*i + 6*i - r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3.24686 centuries?\nAnswer: 32.4686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 275634733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 8:40 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -111*w + 350. Let h be t(3). Solve 0 = h*z - 2*z - 60 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2 - 64*r - 3. Let y(b) = -5*b**2 + 63*b + 2. What is 3*w(q) + 4*y(q)?\nAnswer: -2*q**2 + 60*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 8, 46, 3, -3.\nAnswer: -41, -3, 3, 8, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -24 + 9. Suppose 4*l + 3*x + 0*x - 24 = 0, -5*x + 29 = s*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -1\/6*v**4 + v**2 + 0*v + 1\/30*v**5 + 0 + 1\/3*v**3. Determine j so that y(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149040, 298165, 447292, 596421?\nAnswer: 745552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000814679 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*((0 + (-1 + 0 + sqrt(80))*3)**2 + -1))*-1 + 1.\nAnswer: -2908 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**5\/6 + 4*n**3\/3 - 3*n**2 + 7*n. Let s(b) be the first derivative of q(b). Find the first derivative of s(w) wrt w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-7) + 1 + -3. Let x = -590677 + 590678. Let o = 4.07 + -0.07. Which is the closest to x? (a) -3 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.1 - -15.1. Let y be 9\/(-27) + (-1)\/(-2). Which is the closest to -1\/2? (a) y (b) p (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*o + 40*o - 1050 = 56*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.8, -1.3, -8\/19?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019206343 rounded to four dps?\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(20\/(-48))\/((-1)\/8). What is the highest common divisor of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 9*g - 10. Let u be c(4). Solve -3*v + v = -u, 3*k + 4*v - 23 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266336257469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from {c: 2, q: 3, j: 3, x: 1, m: 10}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqvq when four letters picked without replacement from {q: 2, v: 9, y: 2}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**4\/15 + 2*x**2\/5 + 7*x. Let z(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 g when three letters picked without replacement from {f: 1, v: 1, g: 2, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**33)\/x*x*x)\/(x\/((x*x**(-2)*x)\/x))*x**(-1\/35)\/x**(-29) assuming x is positive.\nAnswer: x**(-141\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 2\/13, -10, -2\/3, -1\/5, -169, 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -2, 45 in descending order.\nAnswer: 45, 16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -930 or 1279?\nAnswer: -930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -8. What is the least common multiple of x and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**6\/600 - m**5\/100 + m**4\/60 - 4*m**2 - 3. Factor r(t).\nAnswer: t*(t - 2)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-9)\/15)*1. Suppose x*z - 25 = 5*q, -1 = -z + 4*q - 2. Find the second derivative of 4*u + 2*u**4 + 8*u**4 + 2*u**4 + z*u**4 wrt u.\nAnswer: 228*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6\/19 - 68\/95. Sort -0.3, -0.1, t in descending order.\nAnswer: -0.1, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 5*f - 4)*(2*f - 4*f + f + (-637 + 901 - 629)*(3*f - f + 0*f) + f + 3*f - f) in the form l*f**2 + t + n*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 18. Let i be s\/2*(-4)\/8. Let p(j) = j + 2. Let l be p(-6). Sort 0, i, l.\nAnswer: l, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**5\/60 + 7*n**4\/24 + 11*n**3\/6 - 3*n**2. Let o be x(8). Solve -5 = 5*z + 5*u, -z + u = -o*u - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 650, 654, 660, 668, 678, 690?\n\"Answer: u**2 + u + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -179966677.6 to the nearest ten thousand.\nAnswer: -179970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*r - 21, -5*r - 6*f + 19 = -5*f. Suppose -r*d = -2*u + 16, -6 = 5*d - 2*u + 14. What is the remainder when (d - -2 - -19) + 3 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 83*h - 177. Let y(r) = 84*r - 173. Let c(z) = -3*k(z) + 4*y(z). Is 119 a factor of c(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 3*l**2 - 4*l**2)*(18510847*l**2 - 18510847*l**2 - 1 + 20*l**3 - 35*l).\nAnswer: 40*l**5 - 70*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 11385525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**2 - 5158*f. Let u(k) = -2*k**2 - 1718*k. Calculate -5*q(c) + 14*u(c).\nAnswer: 2*c**2 + 1738*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-250)\/(-8) - (21\/48 + 24\/(-128)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 4\/5*w**5 + 2*w**2 + 1\/5*w**6 + 0*w**4 - 8*w + 0 + 0*w**3. What is the third derivative of i(s) wrt s?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 66. What is the tens digit of (-2324)\/n + 4\/24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/43 - -27\/344. Let o(u) be the second derivative of -1\/6*u**3 - 2*u + 0 + r*u**4 + 0*u**2. Factor o(b).\nAnswer: b*(3*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110.9 - 117.9. What is the nearest to 1 in t, -1, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3 + 1358*m**2 - 4092*m = 0.\nAnswer: -682, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25064747567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -287.137 + 0.137. Let b = q + 286.859. What is b rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.0652 - -2.12. What is j rounded to three decimal places?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*u - 169*u + 85*u + 85 to the form p*u + r and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-1 + 2) - (-9 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.47\nAnswer: -0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 54*q**2. Let n(i) = -204890*i. What is o(n(d))?\nAnswer: 2266915253400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 263.97 and -0.04?\nAnswer: 264.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(((-5120)\/(-112))\/(-80))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-90)\/4*(-112)\/10. Let w(x) = 647*x + 3241. Let b be w(-5). What is the greatest common factor of m and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -20. Let y(f) = 11*f**2 - 10*f**2 + 13*f**2 + 5*f**z. Let r(h) = h**2. Determine y(r(k)).\nAnswer: 19*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93965 or 93690?\nAnswer: 93965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20326?\nAnswer: 2, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -13. Let s = 1 - a. Let r = 0.08 + -0.38. Sort s, r, 6\/5 in descending order.\nAnswer: 6\/5, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/5 bigger than 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g + 2*j + 10, -4*j = 2*g + 20. Suppose 0 = -3*i - g*i + 15. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d*q**2 + 29*d*q - 10*d - 65912*q**2 - 2*q - 1101644 wrt q?\nAnswer: -4*d*q + 29*d - 131824*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111101111 + -1001?\nAnswer: 101111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (120\/(-180))\/(1\/((-15)\/2)). Suppose s*a = 6*a + r - 3, 5*a - 3*r - 15 = 0. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6650, -53200, -179538, -425558, -831154, -1436220, -2280650?\n\"Answer: -6649*k**3 - 7*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 107*r - 1740. Let n be g(-20). Which is smaller: -3\/1966 or n?\nAnswer: -3\/1966","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11455\/(-213063))\/((-10)\/(-12)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2 = -13. Let i = -247 + 251. Let d = -3.8 + -0.2. What is the closest to 1 in i, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (125\/374)\/((-2)\/(-1)). Let l = -1\/68 - p. Let q be ((-20)\/6)\/(26\/39). What is the second biggest value in 1, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63946?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -1. Let o = -2 - j. Suppose o = -2*c - c + 84. Calculate the highest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - j**2 - 3)*((-2 + 1 + 2)*(3*j + 3*j - j) - 2*j + 3*j + 0*j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = 10*t + 434 - 368. What is the smallest value in 14319, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - 12*p**2 - p - 5. Let f be c(-6). Let h = -1613 - -61285\/38. Let y = h - -387\/190. Is f > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**3\/3 - 188*i**2\/3 - 1729*i\/3 + 722\/3 = 0.\nAnswer: -19, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - x + 3 - 3*x + x + x + (-3 - 1 + 2)*(3*x + 3*x - 4*x) - x + 16 - 16 + 0*x + x + 0*x in the form t*x + i and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*c - 3*i = 58*c - 9, -2*i - 8 = -4*c. Solve -17 = 3*q - 4*r, -5*r - 5 = -c*q - 27 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/7)*j)\/j*j)\/(j**(1\/4)*j))\/(j**(3\/5)*j*j*j*(j*j*(j**(-2\/5)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-223\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 n when three letters picked without replacement from qqznnnqnz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000609808309 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63.3 - 63. Which is the fourth biggest value? (a) 1.8 (b) u (c) -0.1 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = 4*p - 2*l, -5*p + 2*l + 12 = 0. List the prime factors of p\/(6\/39)*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 2*j**2 - 4*j - 32. Determine s(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*t + 3, 7*s = 3*s + 3*t + 3. Suppose z = -2 - 2, 3*r + 247 = 5*z. Let m = r + 94. Solve -q + m*q = s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5808) + sqrt(5808) + (sqrt(5808) - sqrt(5808)*-1 - sqrt(5808)) + 4 + ((1 + sqrt(5808))**2 - sqrt(5808)) + -1 - 5*(1 + sqrt(5808))*4)*-2*5.\nAnswer: -57920 + 7040*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z - 1. Let s(t) = t**3 - 10*t**2 - 13*t + 19. Let k be s(11). Let h(x) = 3*x + 12. Let f be h(k). What is r(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3109.8 times -5\nAnswer: -15549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 513352742 a multiple of 2130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine halves of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52828 + -1542492033.\nAnswer: -1542544861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2834901874?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -56, 3, 2, -3, -6 in decreasing order.\nAnswer: 51, 3, 2, -3, -6, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s = 86 + 346. What is the tens digit of 684 + -2 + -9 + s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 45\/436 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, v: 1, g: 4, a: 1}. What is prob of picking 2 g and 1 a?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39484 + -18089. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-83)\/32)\/((-14)\/56))\/(1\/(-8))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 1.2, 3\/5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348, 329, 270, 147, -64, -387, -846?\nAnswer: -1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, a: 3, c: 5}. What is prob of sequence caa?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*2\/(-48) - (-1)\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 2. Suppose 5*w + v = 7*w. Solve w = -l + 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3087 + 556 - 1132 = -333*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -14. Let t(i) = 10*i**3 - 6*i**2 + 4*i**2 - 2*i**3 - 1 + 2*i + i**3. Calculate the smallest common multiple of t(1) and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 624 and 624.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 579379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.1, 46?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-20 - -11 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 16\/12 - (-176)\/(-24)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5083528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**5 - 27*i**4 + 86*i**3 + 2*i**2 - 2*i + 81134?\nAnswer: 120*i**2 - 648*i + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -2\/3*w**3 + 0 + w + 0*w**2. List the prime factors of b(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.1, 0.05, -16\/9, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57473, 64723, 71973, 79223?\nAnswer: 86473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(10\/(-624480)) + (6 - -5)?\nAnswer: 62459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by ((-3)\/4)\/((-7)\/532)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -31898 and -31898 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*k - k - 14*k)*(-31 - 19 + 15).\nAnswer: 1260*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1097720 + 13374.\nAnswer: 1111094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1137 - 3?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**2 - 3*y - 6. Let s(f) = 3*f**2 + 2*f + 4. Let d(r) = -2*p(r) - 3*s(r). Let u(i) = -i**2 - 2*i. Calculate u(d(v)).\nAnswer: -v**4 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 33*u**2 - 32*u.\nAnswer: -u*(u + 1)*(u + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1*4\/(-24))\/(22\/8*(-48)\/(-88))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9582674.045 plus 1?\nAnswer: -9582673.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 3. Let p be 3*-2*4\/(-12)*2. Calculate m(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.1781 rounded to 1 decimal place?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -449*j - 2. Is s(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193216*b = 193241*b + 125 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 + 82. Suppose -v*a = 2*a - 552. Let u = a + -48. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-12) - 34\/(-6). Let p(r) = -r**2 + 9*r - 15. Is 2 a factor of p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**(-3))\/(x*x*x**(-4\/5)*x*x))**(-40)\/(((x\/(x\/(x\/x**(-1\/2))*x*x))\/(x*x*x*x**0))\/(x**0)**(-3\/19)) assuming x is positive.\nAnswer: x**(263\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -31. Suppose 246 = -g*j + 15*j + 2*u, -10 = -2*u. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5*(-5 + (-4893)\/35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -20. Calculate the greatest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u*u\/(u**(-22)\/u))\/u*u))\/u*(u*u**(-2\/21)*u)\/u assuming u is positive.\nAnswer: u**(-527\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 10*y - 6. Let b be s(9). Suppose -3*i + 79 = -b*u + 5*u, -u + 5*i + 33 = 0. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 3148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, 346\/5, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 679.26*0.59\nAnswer: 400.7634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*((-759)\/(-22))\/23. Let c(t) = -5*t + t**2 + t**2 - t**3 + 4*t**2 + 2 - 3*t**2. Determine c(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3002323 - 3221011?\nAnswer: -12230000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 101*p**4\/4 - p**3\/3 + 162*p + 159. Differentiate t(y) wrt y.\nAnswer: 303*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5197973387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/8 + 117257*u**3\/4 - 10551011*u**2\/8 - 11020043*u\/4 = 0. Calculate u.\nAnswer: -2, 0, 47, 234469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 9. Let c = b - 3. Factor -6*w**c + 9*w - 3*w**3 + 2*w - 14*w.\nAnswer: -3*w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110011110000 - -11?\nAnswer: -1110011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 756610?\nAnswer: 22698300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 401.80617 seconds?\nAnswer: 0.004650534375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1279122?\nAnswer: 2, 3, 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006692 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**2*o + 10*i*o*r**2*z - i*r*z**2 + 9*o*r**2 + 5*o*z**2 wrt i?\nAnswer: 4*i*o + 10*o*r**2*z - r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i - 42 = -y + 25, 0 = -2*i - 4*y + 22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 5528*u**3\/3 - 5432*u + 3344. Find the first derivative of p(r) wrt r.\nAnswer: 11056*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 3*o - 3. Let w be a(2). Let x = 19 + w. What is the lowest common multiple of 20 and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1425586952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 881 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 24\/7 - 51\/7*t**2 - 102\/7*t**3 + 27\/7*t**4 + 90\/7*t + 12\/7*t**5 = 0?\nAnswer: -4, -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26*7\/(18 - 4). Solve j*d + 6 = 10*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10358, -81997, -275786, -652589, -1273270?\nAnswer: -2198693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 e, and 1 z when three letters picked without replacement from zbezabazazf?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 2. Let f be c(2). Let s be (-10)\/f + 2\/6. Suppose 2*b + l = 2*l, s*b = 2*l. What is the smallest value in 0.3, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/399 and 44\/43491?\nAnswer: 43491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-5)\/(-300)*-7*(-28)\/245.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55303667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y**2 - 10*y - 85. Let o be k(12). Let l = o - -2450. List the prime factors of l.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1)\/((-6)\/2) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5014251?\nAnswer: 3, 11, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/20 and -113\/172620.\nAnswer: 172620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -b - b. Suppose 0 = -b*l + 44 + 115. Let j = 38 + l. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1446042405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25813 - -4?\nAnswer: 25817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001154003195 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 6:26 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/5, 28, 0, 2\/7?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 5 + 1 - 4)*(5 + 1 - 1).\nAnswer: -25*i + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from edeeeddeeed.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (202\/4)\/(3\/(-6)). Let c = x + 165\/2. Find the common denominator of c and -53\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + s + 101 = 0, 5*s = 3*y - 0*s + 55. Let k be 1*(y\/12 - (-70)\/15). Solve 0 = 52*a - 53*a + k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/130 and 23\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*w - 14 = 6*w, 2*k - 5*w = 17. Suppose 4*a + k + 17 = b, -a = -3*b + 10. Solve -3 - 2 = -5*t + b*z, 0 = -4*t - 3*z + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((9 - -3)\/(-96)) - 1*-12. Let c(t) be the first derivative of 0*t - 23\/3*t**3 + z*t**2 - 23. What is the second derivative of c(p) wrt p?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 - -1.7. What is the closest to -2\/5 in -4, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -16*k**2 - 10*k - 16. Determine i(-3).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 1120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -247900 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-156)\/(-104))\/(9\/102). Solve 19*o = -74 + l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 9 = -8*i. Let u = -781 + 784. Solve i = -u*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v - 1. Let z(j) = 2*j**2 - 15*j + 14. Let a be z(8). Let c be (-48)\/a + 4\/22. What is u(c)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 19*p - 55. Let j be a(3). Solve 6 - 4 = j*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14960985 divided by -195?\nAnswer: 76723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.06 (c) 4 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/2 + (-12 - -9). Suppose i*z - 40 = 2*l, -4*z + l = -0*l - 50. Let r(c) = 114*c + 29. Is r(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1808, 5804, 12464, 21788, 33776, 48428?\nAnswer: 65744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, -10002, 2, -0.5, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d. Let j = 13 - 17. Let u(s) = s**2 + 3*s - 7. Let p be u(-5). Let a(k) = -3*k - 4. Let l(q) = -2*q - 3. Let c(g) = j*l(g) + p*a(g). Give t(c(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -236, -2\/5, -5.274?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 599 + -599.1156. Let s = j - -0.056. Round s to three decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 7, -13, -53, -119, -217?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -132*q**4 + 54412*q**3 - 89616*q**2 - 289552*q + 216768 = 0. What is q?\nAnswer: -2, 2\/3, 3, 4516\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760 = 12*n + 652 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 1146, 9, -2, 2 in descending order.\nAnswer: 1146, 9, 2, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1900815 - 2816815. What is x rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232532 and 988261.\nAnswer: 3953044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -3048 and -3019 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, j: 1}. What is prob of picking 1 k and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**5\/5 - 17*d**4\/5 + 12*d**3\/5 + 14*d**2\/5 - 16*d\/5 + 3\/5 = 0.\nAnswer: -1, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-2)*(-31)\/((-3255)\/(-150)). Find the third derivative of -212*m**2 + 16*m**5 - 112*m**z - 68*m**5 - 7*m**5 wrt m.\nAnswer: -10260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 2*j**2 + 4*j + 6. Let f be a(-3). Suppose f*d - 21 = 6. Suppose d*n - 993 = 6*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + 1 - (0 + 5)) + 15. Solve -2*m**4 + 48*m**2 - 17*m**3 + 31*m + 21*m + 29*m**3 + h = 0 for m.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4407\/(-45279) + 96\/1296.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123413389?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1694382733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1102\/4)\/(15067\/4758).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 21.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74.98 + -76. Let w = i - -0.72. Which is bigger: w or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*l - 15. Let q be 5 - 1\/1*0. Suppose -3*o - 2*o - 19 = f, q*f - 25 = 5*o. Is o less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407057 is divided by 101762.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7153 divided by -311?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*c + 3. Let y = -2 + c. Let h(v) = -22*v + 1. Is h(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698164 is divided by 43?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2100311, -4200872, -6301433, -8401994?\nAnswer: -10502555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5157657499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + d - 2843997 = 0, 18*d + 948015 = f + 13*d. Round f to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 25. Suppose 8 = 2*y + 2*y + x*t, 5*y = -4*t + 4. Suppose -14*k = -44 - 12. Solve k*h = -5*r - 18 - 0, -5*h + y*r = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 2, s: 2, x: 3, c: 2, g: 2}. What is prob of sequence ccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-14)*1\/125*-2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5876 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 5 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 528072704 and 2004.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21322 (base 6) in base 14?\nAnswer: -10d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.71 (b) -0.05 (c) 59 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -6 (b) 3 (c) -29 (d) -1 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/6526 and -63\/26.\nAnswer: 6526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 + 3*h**2 - 173*h - 1 + 84*h + 89*h to the form c + d*h**4 + m*h + z*h**3 + j*h**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.187119 - -0.187. Round k to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 7*g**4\/2 - 14*g**3\/3 - 21. What is the third derivative of s(c) wrt c?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 + 4*y - 12. Let a(p) = 12*p**2 + 10*p - 24. Let j(l) = 2*a(l) - 5*g(l). What is j(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.06, -1045, -0.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2. Let c = 337\/570 - 26\/285. Let q(j) be the third derivative of 0*j**4 - c*j**5 + 0 + 0*j**3 - 20*j**2 + 0*j. Give t(q(s)).\nAnswer: 2700*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 0*l + 4*x - 13, 3*l = 2*x + 7. Suppose 0 = -3*s + 22 - 4. What is the greatest common divisor of l and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 t when three letters picked without replacement from gttgggggtgg.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 0*b**2 + 4\/3*b**3 + 0 + 0*b**4 + 44*b + 13\/10*b**5. Find the second derivative of z(q) wrt q.\nAnswer: 156*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3872925 and 16\/945.\nAnswer: 11618775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47959, 47957, 47955, 47953, 47951?\n\"Answer: -2*i + 47961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/((-8)\/5) + -35. Let x be (14\/1645)\/(2\/i). Which is smaller: x or 2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170541 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 140 * -20430.\nAnswer: -2860200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 359910 and 126616338.\nAnswer: 633081690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/140 and -24\/5.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 8 = -2*y - 4*x, x = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = -6*j + 977. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 z when four letters picked without replacement from {m: 2, o: 1, z: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 - -212?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = m - 3*q - 0, 13 = m + 2*q. Suppose 2*k = k + i + m, -4*k + 5*i = -22. Solve 2*z = 4*c - 28, -k = -2*c + 2*z + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 110711.2?\nAnswer: 110711.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21770 and 289541.\nAnswer: 2895410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*g + 3*g. Let o = 12 - g. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.21*-2249761\nAnswer: -11721254.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1280328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 120*j + 38 = -122*j, -5*m - 4*j - 96 = 0 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5787.594 rounded to the nearest 10?\nAnswer: -5790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3477*u - 29121 = -1291*u + 615*u + 66398 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54.8 + 307.8. Let x = m + -252.999897. Round x to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -21. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**4 + 5644*i**3 + 128140*i**2 + 616884*i + 849456 = 0.\nAnswer: -1388, -17, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**6\/120 + u**5\/20 + u**4\/6 + u**3\/2 + 6*u**2. Let g be f(4). Sort 2, g, -3 in decreasing order.\nAnswer: g, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-4)*h)\/(h**(2\/7)\/h))\/(h\/(h**1*h))**(2\/61)*(h**(1\/4)*h*h)**(3\/5)\/(h**4\/h*h**0) assuming h is positive.\nAnswer: h**(-24791\/8540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 327 + 312 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -153*x**3 + 3*x**2 + 5*x - 3. Let k(u) = -430*u**3 + 7*u**2 + 14*u - 8. What is -8*f(h) + 3*k(h)?\nAnswer: -66*h**3 - 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163731526*m*s**3 + 10015*m*s**2 + m + 60*s**2 + 2*s wrt s?\nAnswer: 982389156*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1293 + -1288. Solve 2*f = -4*r + 4, 5*f + 3*r - m*r + 26 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7704071 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647349 is divided by 23975?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/50)\/(18\/180). Is 12\/5963 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135 + 135. Which is the nearest to s? (a) -2 (b) 0.1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i - 15. Let l(t) = 2*t - 14. Let c(m) = -4*l(m) + 3*z(m). Let v be c(-8). Solve 0 = -6*y + v*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/25)\/((-6)\/4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = 13. Let v = -24 + a. Let i(h) = 15*h. What is i(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f - 8. Let v be n(-2). Suppose 0 = -2*c - 6*r + 2*r + 468, -4*c - 3*r + 931 = v. Let g = -120 + c. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7177 take away -290.6?\nAnswer: -6886.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 - 2*t**4 + 0*t**4)*(93 - 64 + 134)*(-4 + 4 + t) - t**5 - 3*t**5 + 3*t**5.\nAnswer: -164*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5)*(((j\/(j\/(j\/(j**(-1)\/j*j))*j))\/j)\/j)\/j)\/((j\/(j\/j**0))\/(j*j**(-2\/3)\/j)))\/(j**(-11)*j**(2\/5)\/j)**(41\/5) assuming j is positive.\nAnswer: j**(6964\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/2 - (-1 + 1 + -13 - (-10741)\/934)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20217?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, h: 1, t: 1, x: 3}. What is prob of sequence xq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11521514*o**4 - o**3 - 6*o**2 - 555346 wrt o?\nAnswer: -276516336*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 k when three letters picked without replacement from {w: 1, r: 2, k: 4, a: 2, i: 2, f: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6814922 is divided by 2271636?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + 3 + -3 + 0. Suppose 0 = -z*y + 6*y + 52. Solve 2*g + 0 = -3*l + 8, -y = -4*l + 5*g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1377 or 1378?\nAnswer: 1377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxxhhxxhhx. Give prob of picking 2 h.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -15. 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 y = -19 - -19. Suppose -u + 6*u - 15 = y. Suppose 3*r - p - 30 = -10, -3*p - 12 = -u*r. Solve -31 = 4*w - 3*m, 5*m = -3*w + m + r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 0.6 (c) 0.0545\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5.3. Let l = 111 + -447\/4. Which is the nearest to 0? (a) l (b) f (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 385 - 379. Solve c = -a + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -2\/5, 489 in descending order.\nAnswer: 489, 5, 3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -204b7?\nAnswer: 204b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 5 - 13. Suppose -b*f + 11 = 11. Suppose f = 8*p + 5 - 61. What is the greatest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21729086057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 723925160 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.7 (b) 3\/169 (c) -5\/4 (d) 0.04 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6196\/19 + 326. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-15) + (-9)\/(-15). Suppose 2*g - 3 = m. Is 5 a factor of -10*(6\/g)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2, -p + 3*d = 2 - 7. Let c(j) = p*j - 2*j - j + 2*j. Let f(l) = -11*l**2. Give f(c(q)).\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**7\/1260 - x**6\/240 - 5*x**4\/4 - 9*x. Let q(p) be the third derivative of z(p). Give q(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32343\/14 + -2305. Calculate the common denominator of m and 286\/(-77)*(-2)\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k + 8. Let h be g(4). Which is the third smallest value? (a) h (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.45 + 1.449873. Round v to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 27?\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + -220. Let p = -37623481272 - -37623481501.99999861. Let s = p + l. What is s rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 times -0.014336?\nAnswer: 1.318912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h + 37. Let m be p(-6). Suppose -i - 61 = -3*r + i, -2*i = r - m. Let n = r + -17. Is -2\/159 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y - 32. Let j be x(-12). Let m = -24 - -34. Put j, -4, m in descending order.\nAnswer: m, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/9 and 59\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 2*v + 69*v - 3*v**4 - 68*v to c*v**4 + b*v**2 + a + j*v + n*v**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17\/97?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14928, 14929, 14930, 14931?\nAnswer: 14932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -25.09?\nAnswer: -25.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121660*d*k**3 + 23558*d - 8 wrt k.\nAnswer: 364980*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2723 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 67 = -2*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134995.\nAnswer: 5, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 + -78. Suppose -2*a = -4*q + 92, 0 = -b*q + 3*a + 80 - 30. Suppose -q + 2 = -o. What is the greatest common factor of 50 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxfxefeeee. What is prob of sequence xffe?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-3*sqrt(56) - (1*sqrt(56)*2 - sqrt(56)))\/((sqrt(800)*-2*-6 - sqrt(800)) + -3*sqrt(800)*2))**2.\nAnswer: 2023\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 - -86. Let w = -107.4 - m. What is the closest to -1 in -0.17, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -7 + (-13 - (-21 - 19)) - -12?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)\/v)\/v**4*(v*v**(6\/7))\/v*(v\/v**(-1\/5))\/v assuming v is positive.\nAnswer: v**(-344\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167*m + 201*m - 248*m to the form b + t*m and give t.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1327864 divided by -110\nAnswer: 663932\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 7*o - 7. Let f(n) = n**2 - 2*n - 2. Let y(u) = 7*f(u) - 2*q(u). Let a = -3 - -15. Let m(t) = 518*t - a*t**2 - 518*t. Determine y(m(l)).\nAnswer: 144*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 583736563*c**2*l**2 + 7191*c**2*l - 23*c**2 - c*l**2 - c*l - 5*c + 2*l wrt l?\nAnswer: 1167473126*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((2 + (-18)\/12)\/2*3). Put m, 3, 16 in decreasing order.\nAnswer: 16, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2135, 1496, 857, 218, -421?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i + 0*i - 1 + 888*i**2 + 0. Is r(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + -2 - (190 + (-205 - -50)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-704)\/(-12))\/(4\/6). Suppose 11*j = 7*j + z. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) 3 (c) -4 (d) -1\/9 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -32) + 0 - 31\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -89. Suppose r - 6 = -r, 0 = -4*u - 3*r + 249. Calculate the smallest common multiple of w and u.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/13)\/((((w*w\/(w*w\/w**(-5\/8)*w))\/w)\/w*w)\/w) assuming w is positive.\nAnswer: w**(345\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11.16872 * 3\nAnswer: -33.50616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 6*p + 4. Let s be 16\/6*(6\/8 + -3). Let a be n(s). Suppose 0 = 3*x - a*x + 132. Calculate the highest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -5) + (-7 - (10 - 6 - 11))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**5\/60 + s**4\/8 + s**3\/3 + 8*s**2. Let c be m(-2). Suppose -2*l + 6 = -c*l. Solve -j + l + 0 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -79*s**4\/4 + 76*s**3\/3 + 115. Find the third derivative of v(j) wrt j.\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 - 4) - (6 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 divided by -8156?\nAnswer: -777\/8156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 345\/(-69)*(7\/5 + 0). Let w(u) be the second derivative of u**3\/3 + 4*u**2 - 24*u. Calculate w(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 996998?\nAnswer: 19939960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10020210 (base 3) to base 2.\nAnswer: -100101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c = -21 + 266. Solve g - 10 = -5*j + 2*j, 0 = 3*j - 2*g - c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*y + 3960 = -6*y. What is the hundreds digit of (y\/(-16))\/(-3)*-354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 8. Let n be 94\/705 - 2\/15. Sort -5, n, j.\nAnswer: j, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/60 - s**4\/24 + s**3\/6 - 5*s**2. What is b(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 2158452?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-267)\/15 + (-169)\/(-52)*4. Which is the nearest to -4\/3? (a) z (b) 1 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b**3 - 5. Let i(c) be the first derivative of 5*c**4\/4 - 3*c - 34. Give -5*i(w) + 3*z(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 265310 a multiple of 617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209760 and 250809120.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 4:53 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -151\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -34\/1197739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/11 - 12811432*j\/11 - 20516598736328\/11 = 0. What is j?\nAnswer: -3202858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 3 - 0) + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 2*q**2 - 1\/8*q**4 - 1\/6*q**3 - 1\/120*q**6 + 0*q + 0 - 1\/30*q**5. What is the units digit of o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t. Suppose -12 = -5*r + 2*r. Let p be x(r). Suppose 0 = 5*h + 3*d - 240, -p*h + 2*d - 5*d = -189. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 - 434*r**2 - 6 + 1 + 3 - 568*r**2 as i*r**3 + a*r + g*r**2 + v and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416) + sqrt(416) + sqrt(416)*1 + sqrt(416) - sqrt(416))\/sqrt(8).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4928318393 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v. Suppose -4*b = p - 25, 2*p - 3*b = -5*b + 44. Let c(m) = -3*m**2 + 4*m**2 + 4*m**2 + p*m**2. Calculate n(c(x)).\nAnswer: 156*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -24*c + 1526. Calculate the least common multiple of 40 and u(44).\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3626988*p**6 - 2*p**4 + 12341380*p**2 wrt p?\nAnswer: 435238560*p**3 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/13 + 8126*r\/13 - 5086340\/13.\nAnswer: -2*(r - 3290)*(r - 773)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3 + 1192734*k**2 - 2300*k - 409?\nAnswer: 6*k + 2385468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**5\/120 - z**4\/6 - 2*z**3\/3 + z + 38. Let a(b) be the third derivative of h(b). Let w(c) = 3*c - 1. Give 2*a(y) - 2*w(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(360\/(-255))*(-3)\/((-6)\/(-8)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3246, -30116, -104220, -249174, -488594?\n\"Answer: -3936*h**3 - h**2 + 685*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -69. Let u = -5 + 71. Suppose -72*o + 1386 = -u*o. What is the greatest common divisor of b and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, b: 5}. Give prob of picking 1 s and 3 b.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 15*v**2 - 3*v - 2. Let k be a(-3). Let j = k + -87. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 + 189\/(-12))\/((-8)\/(-32)). Which is the smallest value? (a) t (b) 3 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-150)*(-105)\/14?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-7)\/r)\/r*r)**(1\/8)\/(r**4)**(24\/13))**(-46) assuming r is positive.\nAnswer: r**(5014\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2*x + 2*x)*(4*x**2 - 69*x**4 - 4*x**2) - 2*x**5 + x - x.\nAnswer: -71*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5213526 is divided by 1694.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 10*g + 28. Does 4 divide j(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1112120?\nAnswer: -1112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1561 and 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -288, -425?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q + 1 - 3*q - 2. Let a(o) = -2*o - 1. Let h be a(-1). Let k(r) be the second derivative of -2*r**3\/3 + 5*r**2\/2 - 2*r. What is h*k(v) + 3*x(v)?\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 1810 + 26. Let k be (n\/(-30))\/(-6) - -4. What is the second smallest value in -21\/5, -4, k, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 8*v**5\/5 - 121*v**4\/2 - 68*v**3 + 281*v**2 - 124*v + 809. What is g in o(g) = 0?\nAnswer: -2, 1\/4, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207 + s + 40 - 116.\nAnswer: s - 283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r - 1. Let v be z(-3). Suppose -10*l + 12*l - 544 = 0. Let m = -242 + l. Is v less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -186 - -310. Suppose -d = -56 - n. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/4382240 and -119\/269400.\nAnswer: 65733600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/630*-45*8\/(-7)?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from eiiiejeji.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1165731, -1165761, -1165799, -1165845, -1165899, -1165961, -1166031?\n\"Answer: -4*g**2 - 18*g - 1165709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4*(-33)\/(-22) - -69895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 5\/194851, 2\/19, -2\/13 in descending order.\nAnswer: 5, 2\/19, 5\/194851, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5084405 (base 12) to base 16\nAnswer: e67545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271444*3.\nAnswer: -814332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*y - 2*y + 30 = 0, 2*y + 12 = 2*h. Suppose -4*m - t = -1631, -h*m + 9*m - 1230 = -3*t. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10*y = 63. What is the units digit of (-1447)\/(-9) - (-2)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (770\/(-110))\/(11\/(-660)*28).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/10)\/((-3)\/(-15)). Suppose -r*x = -3*h + 30, 0 = -5*h - 4*x - 5 + 55. Solve -3*q + h = -3*m - 2, -4*m - 2 = 3*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0, -15\/4, 11\/2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*k**3\/5 - 59*k**2 - 222*k\/5 + 64\/5 = 0. What is k?\nAnswer: -32, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -11, -5, -1\/4, -308, 13\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -34 (c) -5 (d) 0.43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**3 - 9*y**2 + 5*y + 2 wrt y.\nAnswer: 12*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 407, 650, 895, 1142?\nAnswer: 1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*p + 4, -4*p + 3 = 3*g + 11. Solve g = f - 0*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**2 - 7*s + 6. Let r be c(-2). Solve -2*q - 3*q - 20 = 3*g, -4*g + q - 19 = r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1922 + 2\/9*b**2 - 124\/3*b.\nAnswer: 2*(b - 93)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 11, 4, -23.\nAnswer: -23, -1, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 104. Determine k(37).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -455 in ascending order.\nAnswer: -455, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 107.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1225?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**6\/1620 + y**5\/54 + 26*y**3\/3 + 2*y**2 - 1. Let a(x) be the first derivative of l(x). Suppose a(r) = 0. What is r?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/6))**(-1\/23)\/(u**(-5))**6)**(4\/9) assuming u is positive.\nAnswer: u**(8282\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 74*o + 1853. What is the remainder when m(-24) is divided by 51?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1045 + 807 = g - 4*f, -4*g + 7478 = -2*f. Suppose g = 29*w - 5*w. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 337364*o**2*r**2 + o*r**2 + 291*o - r - 4 wrt o?\nAnswer: 674728*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/11 - 22780*t\/11 + 68358\/11 = 0. Calculate t.\nAnswer: -11393, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -5. Let w = 0 + o. What is the third derivative of -5*l**w + 0*l**4 - l**2 + 4*l**2 + 3*l**4 wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -9024 (c) 2230\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:31 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 13. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 31 = 5*d + 8 + 34, s - 9*d = -87*d - 1168 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r**2 + 51*r. Is s(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111000010111001 (base 2) to base 5\nAnswer: 3433000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/2709, -0.06, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326595 (base 11) to base 5.\nAnswer: 113134010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f - 28. Let r be p(3). Let j be 37\/13 + (-2)\/r. Let w be j - 3 - (-9)\/(45\/(-80)). Is w less than or equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 6870?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37588?\nAnswer: 2, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 3*s - 430. Let z(b) = 15*b**3 + 2*b**2 - b. Let d be z(1). Calculate the highest common factor of s and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 u when three letters picked without replacement from ttzttuutittz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 541490727 and 326.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002136827.\nAnswer: 3, 251, 1330859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -29*d**2 - 2*d. Let w(l) be the third derivative of 13*l**4\/24 + l**3\/6 - 165*l**2. Determine v(w(x)).\nAnswer: -4901*x**2 - 780*x - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*s**6 - 153*s**3 + 6*s**2 + 2*s - 83?\nAnswer: 1320*s**3 - 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -302 (b) -0.06 (c) -29\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 19 - 1 = 0. Suppose -4*z = -k*z + 76. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*r + 227*r - 4*r**3 - 452*r + 7*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178001*g**2*l**3 - g**2 - 1483*g*l**2 + 203*l**3 + 2*l**2 + 18*l + 77 wrt l?\nAnswer: 1068006*g**2 + 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1663*d - 58455 - 4739 = 0 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -425, -451, -509, -617, -793, -1055, -1421, -1909?\n\"Answer: -3*h**3 + 2*h**2 - 11*h - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73677 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from nvwwwnvw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*n + 2*n - 12, 2*t + 4 = -2*n. Suppose 5399988 = u + n*i, -10157168 = -4*u + 4*i + 11442848. What is u rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 249*i\/4 - 31\/2.\nAnswer: -(i - 62)*(4*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*m - 18892, 2*c + m + 23607 = 7*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/77807376 and -23\/64224.\nAnswer: 155614752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 55 = 5*v, -2*v + 17 = -5*q - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 283219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, a: 4, e: 4, t: 3}. Give prob of sequence aae.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h - 18. Let n be o(6). Let t = n + -25. Solve t*y = y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006985 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h + 19. What is p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51.44 or -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45309 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + k + 2*k)*(-1090*k**2 + 66*k**2 + 176*k**2) to u*k**3 + y + l*k + t*k**2 and give u.\nAnswer: -848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -239291\/5 + 239294\/5. Let n = 16.2 - 22. Let r = 0.2 - n. Which is the biggest value? (a) r (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74735, -74748, -74759, -74768, -74775?\nAnswer: -74780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.186 and -14871400.\nAnswer: -14871399.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 3:40 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(0 - -1) - (7 - 50\/10). Let p be (2 - 65)*-1 + 2. Let z = p - 453\/7. What is the closest to f in z, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8544594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17846 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 + 18*p**2 - 424*p + 768 = 0. What is p?\nAnswer: -32, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:23 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 211903 = 4*y + 19229, -5*h = y - 48163. Let l = 337794\/7 - y. Let g = l - 88. Sort 6, g, -4, 3 in descending order.\nAnswer: 6, 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13354451 to the power of 1\/2, to the nearest integer?\nAnswer: 3654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 45. Suppose -l*f - 87 = 2*j, -5*j - 102 = 3*f - 15. What is f rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 (base 7) in base 14?\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*(m**2*m)\/m*m*m)))**(2\/9) assuming m is positive.\nAnswer: m**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - -304. What are the prime factors of (5 + k)\/(26\/(-6) - -5)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgkggggkgkkg. What is prob of sequence gggk?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5922\/63450*6\/7 + (-124)\/(-75). Find n, given that -2\/15*n**4 - 8\/5 + q*n**2 - 22\/15*n**3 + 22\/15*n = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1872 divided by -8.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2757175177?\nAnswer: 19, 167, 277, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*r - 36, 0 = -10*r + 5*r - m - 15. Let y be 13 - (-3)\/(3\/r). Calculate the greatest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -3 in decreasing order.\nAnswer: 6, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*c - 83 + 283. Let s(j) be the third derivative of -j**4\/24 - j**3 - j**2. Let v be s(c). Solve 0 = v*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 (base 11) to base 4\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10808 - -10926) + (0 - 237)\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 + 3*f - 27. Let d(b) = 18*b**2 - 15*b + 135. Calculate 2*d(t) + 11*g(t).\nAnswer: -8*t**2 + 3*t - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 5*b - 5. Let g(s) = s. Suppose -m - 1 = 0, -1 - 1 = -2*k + 4*m. Let a(p) = k*q(p) - 3*g(p). What is the remainder when a(-4) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 8 = -h. Let b be 1*(-2 - h) - 0. Suppose -v + 44700 = b*v. What is v rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 96\/(-20) + (-133)\/(-35) + -4. What is the closest to -1 in 0.1, t, 2, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 8. Let b = 1 + c. Calculate the common denominator of 6\/7 and 3\/b*-1*-17.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -192 - -195. Suppose 5*o = 5*u + 155, -c*o = -0*o + u - 105. Calculate the highest common divisor of o and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -316, -471, -626?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 5:06 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a (base 11) to base 2.\nAnswer: -1101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 27*n + 3 + 13. Which is the closest to -0.1? (a) -1\/3 (b) 5 (c) n (d) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-33)\/q))**(-11\/2)*(((((q\/(q*q**19)*q)\/q)\/q)\/q)\/q)\/q*((q*q**(1\/5))\/q)\/q)**27 assuming q is positive.\nAnswer: q**(-28458\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 59274509830 less than 2.3?\nAnswer: -59274509827.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1608 - -170.\nAnswer: -1438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c353 (base 16) to base 9.\nAnswer: -75528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 816*q - 239147. Determine b(293).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-25 - -17) + (-2 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -12.53. Let y = 0.11 - w. Let z = 0.02 + y. Which is the third biggest value? (a) 2\/15 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*a - 4*a - 1395, 0 = 3*a - 3*h - 4176. Calculate the remainder when a is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.7915961 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/1575 (b) -3 (c) 0.22 (d) 1\/2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 188963062 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + -4*(sqrt(136) - 2*sqrt(136)) + sqrt(136) - sqrt(136))*-1)\/((sqrt(400)*-2)\/sqrt(2))*-4.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*t**6 - 4*t**4 - 23*t**2 - 5*t.\nAnswer: 4920*t**3 - 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 + 64110 - 130*b - 32019 - 32091.\nAnswer: -4*b**2 - 130*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-1) - -1)*(6 - 39). Let h = g + 102. Let w be -2 - (-243)\/48 - h. What is the nearest to w in 1, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-154)\/(-99)*6)\/(4*(-1)\/12)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 13831 = -m + 13843, -3*i - 4 = -m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121 and 698654?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 5*l - 113 - 72, 3*w - 127 = l for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45376 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3536, -6972, -10236, -13244, -15912, -18156?\n\"Answer: 14*x**3 + 2*x**2 - 3540*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17 - -0.67. Suppose -318*q - 50 = -328*q. Sort s, 0, q, -31.\nAnswer: -31, 0, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**6 + 7604*l**5 - 373413*l**2.\nAnswer: -240*l**3 + 456240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/13))**(1\/44) assuming a is positive.\nAnswer: a**(-3\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*k + 30. Let d be 14 + (-6)\/(126\/21). Is d greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 44. Let i(y) = y - 23. What is 5*i(f) - 3*o(f)?\nAnswer: 2*f + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1347*u - 474*u - 146 + 370*u**2 - 439*u - 434*u)*(4 - 5 + 0) in the form x + z*u**2 + t*u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/15? (a) 1 (b) 0.3 (c) -3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 76043 (b) 6 (c) -2\/15 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*u**2 + 0 + 445*u**2 + 0 - 257*u**2.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1496*j + 381525. Give d(-255).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-7))\/(4\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9345 - 2612. What is the remainder when b is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 21. Suppose 0 = 3*k + 2*k + s. Let h be k\/(-10) - (-24)\/10. Solve h = -v - 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2. Let j(k) = k**3 + 8*k**2 - k. Let s(v) = -j(v) + 6*l(v). Let y be s(1). List the prime factors of y\/(-4) - (-45)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l + 2*l**2 - 5*l**2 + 5 + 6*l**2 + 3*l**2. Let q be c(-5). What is the greatest common divisor of q and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13393499\/(-67470) + (-2)\/(-3). Let o = -103\/4498 + k. Let v = o + 198. Which is the second biggest value? (a) 0.1 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 815225*f*q*z**2 - 2*f*q*z - 595*f*q - 11*f*z**2 - 2*f*z + 3778*z wrt z?\nAnswer: 1630450*f*q - 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 2139?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/8 - 60\/144. Let l be (-68)\/51*(-9)\/(-16). Let j be 1*1*3\/6. What is the third biggest value in j, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4949261 rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.2872 to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**(-3\/4)\/y)\/y)*y*y**32)**(10\/7))**6 assuming y is positive.\nAnswer: y**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 237 - -20. Suppose 0 = 3*s - p - w, -2*s + 4*p = 7*p - 186. Sort 3, 1, s in decreasing order.\nAnswer: s, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541070977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818629 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2219 + 2426. Let n be (42\/(-8))\/(4\/(-16)). Let q be 2 + 2 + n + -2. What is the greatest common divisor of q and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10005?\nAnswer: 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -2, -11\/5, -6\/5, -830?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3)*324\/8. Let s = -45 + y. What is s rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7741 + 7863. Solve 0 = -t*n + 125*n + 18 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 12:48 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -1057199.\nAnswer: -8457592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b + 11*b = 81 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 + 7*z**3 + z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 = -q, q + q = -3*x - 4. Suppose -i - 4*n = -11209, i = x*n + 2*n + 11217. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*b + 14 - 128. Let g(i) = -i**2 + 6*i + 6. What is g(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16463196 - 16463196.14999862. Let w = 0.15 + h. What is w rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/2 - 7699208*p + 29638901913632 = 0 for p.\nAnswer: 7699208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1983033?\nAnswer: 3, 13, 17, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 5*x - 15, 4*f - 5*x + 0 = -15. Let p(a) = 2*a + 2. Let j be p(f). Sort 0, j, 1 in descending order.\nAnswer: j, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-4 - (14 - (-7 + 7))) + 6.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z + 5. Let x(f) = 3*f + 2. Let r(m) = -2*m - 1. Let p(k) = -5*r(k) - 3*x(k). Calculate 2*o(n) + 9*p(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.91 - 12. Let o = 0.089999 + t. What is o rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8361 - 151?\nAnswer: 8210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssxxxxsxssxs. What is prob of picking 3 s?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23523 to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/2 (b) 0 (c) -0.8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11910634 rounded to 3 decimal places?\nAnswer: -0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g. Let f(i) = -2*i**2 + 4. Let m(t) = -3*t**2 + 5. Let h(v) = 5*f(v) - 4*m(v). Determine h(w(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -159c30c - b?\nAnswer: -159c31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(12) + -3 - (1*sqrt(363)*-5 + sqrt(363)).\nAnswer: -3 + 89*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 24*f + 0*f**2 + 0 + 0*f**3 - f**5 - 1\/2*f**4. Find the third derivative of r(b) wrt b.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3017*a + 229*a + 141532 = 664*a for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 12, -x - 11 + 5 = 2*h. Let j be 2 + 3 + (-124)\/8 + -3. Let n = -14 - j. Which is the nearest to -0.1? (a) n (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*a + 193 - 83 = -100 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5*t = 45, 32355*n - 32351*n - 62 = -3*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3))**(6\/13)\/(b**(2\/7))**(-48)*b\/b**(-1\/2)*b\/(b\/(b\/b**(-2)))*(b*b**(-2\/9)*b)\/b**(-5\/2) assuming b is positive.\nAnswer: b**(18169\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 + 1928*a\/3 + 643.\nAnswer: -(a - 1929)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 389*r**2 + 22082*r - 141. Give q(69).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.22203 nanometers to meters.\nAnswer: 0.00000006522203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16260043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88*700\/(-22000)*6\/14.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + w + 2005 = 0, 2*w - 1134 = -4*m + 6868. Calculate the greatest common factor of 715 and m.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/9555 and 115\/294.\nAnswer: 19110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 2. Let l be v(5). Let g be (-25)\/(-2) + 4\/l. Let s be 15\/(-5) - -4 - -3. What is the greatest common divisor of s and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160 - 37. Suppose 201 = 6*z - g. Calculate the smallest common multiple of 8 and z.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**8\/56 - 17*v**4\/12 + 16*v. What is the third derivative of t(j) wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19181594862803 and -15.\nAnswer: 19181594862788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 49?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(420) + 2*sqrt(420))\/sqrt(10))\/(sqrt(4)\/(-2*sqrt(2))))\/((-1*sqrt(675))\/(sqrt(9) - (-2*sqrt(63))\/sqrt(7))).\nAnswer: 18*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -3, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(-i - 2*i + 5*i) - 3*i + 4*i + i + (-i - i + 3*i)*(-2 + 0 + 3) + (-3 + 2 - 2)*(-8*i - 2*i + 0*i) in the form d + v*i and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5\/720*8?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -5*q**4\/8 + 19*q**3\/6 - 1606*q**2. Determine n(8).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013806 is divided by 229?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**2 + 3*z - 3. Let f(k) = -2*k - 5. Let g be f(-3). Let l be p(g). Suppose 0 = -l*o + 8*o - 2174. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869985693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/36 - 2\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 13 + 12. Suppose 2*l + 66 = 4*m, -c*m = -m + 12. Is (2 - 6)*l\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 9 (c) 0.5 (d) -17 (e) 1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 0*v - v**5 + (v**2 - 3*v**2 + 0*v**2)*(0*v**3 - 3*v**3 + v**3) + 72*v**5 + 87*v**5 - 35*v**5.\nAnswer: 127*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*t - 936 = 3024 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139505007?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622587613?\nAnswer: 97, 6418429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 1:53 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 24 = 7*r. What is the second derivative of -4*u**2 + 3*u**2 - 205*u + 10*u**2 - 17*u**4 - r*u**2 wrt u?\nAnswer: -204*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, w: 5}. Give prob of sequence ww.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2 - 420980*b + 841968 = 0.\nAnswer: -210492, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 14044 = 106993. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -v - 5 + 39, 5*v + 2*c = 209. Are 298\/7 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28487, -28961, -29435?\nAnswer: -29909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86 - (70 + 14)) + 35 + 1.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*c + 5*h + 112, -581 = -5*c + 4*h. Does 47 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.43 + 17.13. Let o = 15.7 - k. Let t = 0.2 - -1.8. Which is the closest to -2\/5? (a) -0.1 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 5. Let l(m) = -2*m**2 + 7. Let o(n) = -f(n) - l(n). Let h = 0 + 4. What is o(h)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4208, 4188, 4136, 4034, 3864, 3608, 3248, 2766?\nAnswer: 2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.25 (b) 12 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*d = 28, 4*w - 53 - 85 = 3*d. Suppose -9 = -3*h + 2*h. What is the highest common factor of w and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1dc + -ef2?\nAnswer: -10ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/842984 + -31314748175\/5900888. Let r = i + 5311. Find the common denominator of r and (-651)\/(-60) - 2\/(-8).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - 172?\nAnswer: -171.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**5\/7 - 148*v**4\/7 - 232*v**3\/7 + 1712*v**2\/7 + 992*v\/7 - 640 = 0. What is v?\nAnswer: -35, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58009778459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 391 + -392. Which is the closest to p? (a) 0.4 (b) 0.04 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9 = -0*x. Suppose 3*c = 5*c + 5*q + 9, -10 = x*c + 4*q. Let u = 0 - c. Solve 0 = -3*j - 3, -1 = -4*a - u*j + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 + -96. Let x = c + 5. Let w = x - -217. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.3 and -16.66003.\nAnswer: -121.618219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -635*x + 606*x. Which is greater: x or -1\/802?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.56485321221 - -9\nAnswer: 8.43514678779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*r - 34, -2*l + 38 = 5*r + 2*l. Suppose r*k - k = 15. Let c be (-2)\/14 + (-580)\/(-140). Solve -j = -c*j + k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -934475134 less than or equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045078403.\nAnswer: 1045078403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -2*o - 3*f, 2*o - 126 = o + f. Suppose 2*c + o = 4*c. What is the remainder when 191 is divided by c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140\/4621 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -4\/7, 10.7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126601071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.12 = 21131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 7*w**5\/4 + 41*w**4\/2 - 213*w**3\/4 + 38*w**2 - 7*w = 0.\nAnswer: -14, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24.5144 - -2\nAnswer: -22.5144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 2. Let n be 60\/45 + 52\/6. Let g(m) = n*m + 6*m - 26*m + 8*m + 4. Give -11*d(j) + 6*g(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*b + 138*b - 56664 = -545*b - 450*b for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1135 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430555682 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (33\/27)\/(1408\/128)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**2 + 46*i - 405. Let n(b) = -2*b**2 + 3. Let q(c) = n(c) - y(c). Does 16 divide q(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 16. Let n be k(-15). Calculate the remainder when (n - -4)*(-65)\/(-25) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 50?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, n: 1, p: 1, j: 5, a: 2}. Give prob of picking 1 t, 2 j, and 1 a.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 0 + ((-5)\/((-15)\/(-1846554)))\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/8)\/(1\/(-2)). Let x be 2\/(-19) + 24\/(799\/(-51) - -3). What is the third biggest value in l, x, -0.07, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*z**2 - 891*z + 2 wrt z?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 881 + -590. Is (a\/2)\/((-33)\/(-44)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z, -2*z - 3 = -4*u + 19. Suppose 2*y = u*y. Let x be y + 4\/((-48)\/(-9)). Which is the closest to 0? (a) -1 (b) x (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6651 - -6650.299965. Let v = -0.7 - s. Round v to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -14. Calculate the highest common divisor of k and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 69, 134, 199?\n\"Answer: 65*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - f + 1. Let y(c) = -7*c**2 + 4*c + 5. Give 4*n(b) - y(b).\nAnswer: 3*b**2 - 8*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5. Suppose f = 2*k + 9 + 1. Let w = -3 - k. Solve t - 3 = w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, w: 6, f: 4}. What is prob of picking 1 w and 3 y?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfdiiqqdzddqd. What is prob of picking 1 f and 2 d?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 609 - 192. Suppose 0 = -22*f + q + 1. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*j + 4*l, -3*l + 2213 = 5*j + 2178 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 18*r**2 + 18*r - 17. Suppose 13*o = -66 - 64. Let u be x(o). Solve 2*q + u = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2950?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1359, -2705, -4055, -5409?\nAnswer: -6767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 - 7*s**2 + 25 + 1 + 22*s**2.\nAnswer: 21*s**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 - 14*j - 3. Let w be (-1)\/(-9) - (-368)\/(-72). Calculate c(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -429, -1691, -3421, -5313, -7061, -8359, -8901?\n\"Answer: 51*h**3 - 540*h**2 + h + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454536391.5 rounded to the nearest one hundred thousand?\nAnswer: 454500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:16 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -4 + 4 - -1. Suppose t*h = 6*h. Suppose h = 2*x - 4*x + 24. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 593188 (base 10) to base 9\nAnswer: 1103627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15108 is divided by 7346.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1632479 is divided by 4011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - 48\/(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 254, 305, 354, 401, 446?\n\"Answer: -o**2 + 54*o + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 92200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2073 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28495 + -13850. Suppose -z + 5*z - j = -3*t, t = 3*z - 10974. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 7489785475?\nAnswer: 7489785474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379163, -763045, -1146927?\nAnswer: -1530809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*9\/3 - -7. Suppose -v*n + 178 = 38. Let t = -15 + n. What is the remainder when 97 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/18 - (-1884)\/(-27). Suppose 18*p - 85 = 59. What is the hundreds digit of (i\/p)\/(6\/(-144))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (-18)\/4)*-2. Suppose q = -g*q. Solve 3*m = -q*m + 9, 0 = 5*y + 4*m - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2 - 5*p + 19. Is m(-12) 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 181759.3nm?\nAnswer: 0.0000001817593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/((-3224)\/(-2184))*5\/5.\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 s, and 1 z when four letters picked without replacement from {x: 3, z: 3, s: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 6*l + 6400 = 0. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/6 + 1*6\/(-36). Let u(r) = 7*r**2 - 1. What are the prime factors of u(d)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*p - 88024 = -88489 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 2*s + 13. Let u be x(-3). Let r(v) = v + 7. Let k be r(0). Suppose -f + 13 = k. What is the greatest common divisor of u and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111100 + 10010?\nAnswer: -1101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 272*u + 175*u + 447 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -4 + 1 - -3) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -104483.0418 to the nearest 100.\nAnswer: -104500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*v - 39752 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*v = -58, -5*t - 3*v + 9 = 96. Let g(h) = -2*h**3 - 2*h**2 - 6. Let k be g(-3). Let y = k + t. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 500510 - 31552?\nAnswer: 424514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3818207, -3818210, -3818213?\n\"Answer: -3*a - 3818204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 + -112. Suppose -3*a + 28 = q. Suppose -4*g = -72 + a. Calculate the least common multiple of 142 and g.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 35\/151253 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13335175 and 82355.\nAnswer: 6335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51259 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -7*y + 46. Let z(l) = -l. Let t be z(-2). Calculate the highest common factor of t and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324392816?\nAnswer: 2, 11, 1843141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*1*sqrt(2299))*-2.\nAnswer: -66*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/19 or -4596?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1225)*1 - sqrt(1225) - sqrt(1225))\/(sqrt(640)\/sqrt(2)).\nAnswer: -7*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4218145, 8436259, 12654373, 16872487, 21090601, 25308715?\n\"Answer: 4218114*s + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 183*b**2 - 10*b + 27. Let u be w(-9). Suppose 3*p + u = -2*p. What is the common denominator of (-2)\/16*-2 + p\/(-4752) and -53\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8738499 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 132218 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/15)\/(-7 - 14\/(-4290)*2019) and -23\/12?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-12))\/((-3)\/12))\/(2\/(-66)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + (sqrt(11) - (sqrt(11) + 2))**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 + 116.0149. Round c to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18 + 170\/(-45) - -16. Suppose 4*r = 5*f + 3673, -13*f + 2731 = 3*r - p*f. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -13*s**4\/2 - 11*s**3\/3 - 7*s**2\/2 + 11*s + 959. Let q(b) = -13*b**3 - 6*b**2 - 4*b + 6. Calculate -11*q(n) + 6*w(n).\nAnswer: -13*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -3)*(-40)\/12. Suppose -5*x + 60 = i. Suppose -n - x = -103. What are the prime factors of n?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386 - 139*t**2 - 386.\nAnswer: -139*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k + 111 = 261 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 8:11 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 236.2575 hours?\nAnswer: 850527000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.6 + 5. Let c = p - -0.6. Which is greater: -7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12184\/9 < -1354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*u**2 - 1489*u + 1489*u.\nAnswer: -273*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -23*v**2 + 29*v - 39. Let o(s) = -12*s**2 + 14*s - 20. Let l(t) = -5*o(t) + 3*r(t). Let a(m) = -m**2 + 2*m - 2. Determine -51*a(h) + 6*l(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 10*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 + 13 - 12)*(3*j - 5*j - j) + (-4 - 1 + 3)*(j - j - 3*j) in the form b*j + m and give b.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4\/7 + 122*x**3\/7 + 2116*x**2\/7 + 1024*x - 1344 = 0. What is x?\nAnswer: -28, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*i + 140 = -5*i, 3*p + 102 = 3*i. Let a be p\/(6\/(-18)*3). Calculate the greatest common factor of a and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6483000 to the nearest one hundred thousand.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 76*j**2. Let h(y) = 48858*y. Give h(i(w)).\nAnswer: 3713208*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6280 = -3*p - 5*v, 0 = -3*p - 3*v - 2428 - 3860. What is p rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 217, 52, -307, -866, -1631?\nAnswer: -2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b. Let v = 3 - -4. Let i(a) = -a - v*a - a + a. Let g(h) = -h. Let d(f) = -20*g(f) + 3*i(f). Calculate t(d(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(539) - sqrt(539)*1*-1)**2 + 5 + 2*((3*sqrt(539))**2 + -5)).\nAnswer: 23706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**27*i**(-4)\/i**0)**(-3) assuming i is positive.\nAnswer: i**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1194042, 2388270, 3582498, 4776726?\n\"Answer: 1194228*s - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14441353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (4 - 11) - 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**2 - 3*j - 2. Let d(k) = 9*k**2 + 4*k - 2. Let f(n) = n**2 + 2*n. Let q(r) = -d(r) + 4*f(r). Calculate 3*q(a) + 4*t(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 6*l + 7. Let v(o) = 2*o**2 + 13*o - 32. Let b be v(-18). Let m = 388 - b. What is r(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 72\/5 of a millimeter?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -13*b - 7. Determine w(-7).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 8085356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57924774 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -69937639, -69937637, -69937635, -69937633, -69937631, -69937629?\n\"Answer: 2*i - 69937641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 198\/132 - (-6)\/4*(-6)\/(-18). Which is the fourth biggest value? (a) f (b) -9 (c) 1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 36761 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 43*i**2 - 29*i - 206. Calculate m(44).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 1, j: 2, e: 1, f: 2, k: 2}. What is prob of sequence fk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.0081122\nAnswer: -0.0081122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28220 + -28221. Let d = -0.2 - 0.3. What is the second smallest value in 0.3, -3\/5, d, l?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 + 13*n - 13. Let d be l(4). Find the third derivative of 29 + 3*a**2 + 3*a**5 - d*a**5 - 5*a**2 + 49*a**5 wrt a.\nAnswer: 2700*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32300\/12350)\/(20\/65*(-5)\/(-10))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 3:03 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + q + 2*q)*(-3 + 1 - 1).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 27952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -2\/93 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 c when three letters picked without replacement from pvvvpvvcnccrqnnvcvn?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3)*(1 + -13) - -4. Let y(q) = -q**2 + 8. Give y(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*h**3 + 12\/7*h + 20\/7*h**2 - 36\/7.\nAnswer: 4*(h - 1)*(h + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 2:44 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2927771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Suppose q*l - 19 - 69 = 0. Suppose 0 = -h + 3*h - 84. Calculate the remainder when h is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*i = -3 + 27, -3*h + 4*i + 3 = 0. Let v be (-15 + h)\/(-2 - 0). Suppose -v*w + 23 = -17. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2236934+-8549\nAnswer: -8548.7763066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 178.23015 + -2.04815. Let s = c + -176. Round s to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(16\/3)*y)\/y)\/y*y**(10\/3)*y)\/(y**(-3\/7)\/(y\/y**(-4))) assuming y is positive.\nAnswer: y**(296\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 2:16 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/6 - (-4)\/(-6). Suppose 0 = -k - 5*x + 33, -7*x + 3*x = -o*k + 36. Suppose 2*r + i = 4*r - 71, 5*i + k = r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/14)\/(2\/6). Suppose 26 = -3*i + 92. Let v be (165\/i)\/(1\/(-2)). What is the smallest value in -4, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12440 to the nearest one hundred.\nAnswer: -12400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11976 divided by -3992\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a gram in milligrams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**3 - 23*i**2 + 6*i - 8. Let m be l(-11). Which is bigger: 2\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 20*x + 84. Determine k(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**6\/40 - 23*o**5\/10 - 95*o**4\/8 - 24*o**3 - 13*o**2. Suppose n(c) = 0. What is c?\nAnswer: -1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 6) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) 0.06 (c) 5 (d) -0.1 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/945)\/((6\/39)\/((-91)\/(-10647)*-45))?\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320380 (base 9) in base 4?\nAnswer: 232201320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-28)\/(-16)*-35*(-14)\/343?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7567203*n**2 - 7534634 wrt n.\nAnswer: -15134406*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + 4*i + 1. Let m be g(3). Let p = -19 - -9. Let f = p - m. Calculate the smallest common multiple of 2 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2653864809 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11937768 times -0.1?\nAnswer: 1193776.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + -9 + 8 - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 3 = p - a, 2*a = -4*p + 110. Suppose 2*c + 0*c = 6. Let k be 3 + c + (1 - 4). Solve 5 = -5*l + 5*v, k*l + 4*v = -v + p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2292 + -1548. Calculate the highest common divisor of 465 and o.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -3968429\nAnswer: 4\/3968429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5166.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -1, 3 in ascending order.\nAnswer: -1, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (9 + 19)) + 1 - 25?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 4) + -7 - (2 + (0 - 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26662, -26708, -26754, -26800, -26846, -26892?\nAnswer: -26938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1344*d**3 - 8*d - 10.\nAnswer: -8064*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53692537 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, n: 1, b: 12}. What is prob of sequence bnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 199.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/3 + 5 + 7. Suppose -y + 5*u = 18, 4*y - j*u + 3*u = 3. Solve 4*c + 5 = -y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 3*l**2 - l + 3. Let o(k) = 2*k**3 + 5*k**2 + k - 6. Let w(n) = -5*j(n) - 3*o(n). List the prime factors of w(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w. Let g be (-2 + -5 - -4)\/(6\/(-4)). Let t(j) = -j + j**g - 7*j**2 + j. What is t(k(z))?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -31. Let p = -86.9 - -87.1. What is the nearest to -2 in p, c, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2527 - -2510. Are 35 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2751466 and 7381?\nAnswer: 332927386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 2250819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13005272 minus -8106298?\nAnswer: 21111570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3553 and 3553?\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 + 213. What is the remainder when i is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19786, 37, -7 in decreasing order.\nAnswer: 19786, 37, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 36. What is the greatest common factor of 24 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1618*o - 202 - 798 + 126 - 131 + 1528*o wrt o.\nAnswer: 3146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 0.5, -1, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115.15 + 115.25. Let k be 38\/(-18) + 1*2. Sort k, 6\/7, b in increasing order.\nAnswer: k, b, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 40. Let k = 8 + t. Suppose -x = -k*f - 169, -3*x + 638 = 5*f + 201. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3424 + 3321. Let u be 1 + (-11)\/3 - (19 + -20). Put x, u, -4\/7 in ascending order.\nAnswer: x, u, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -2 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 760*p - 15950. What is f(21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2924 and 87634?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 24*d**2 + 10*d + 13. Let w(n) = -n**3 - 19*n**2 + 9*n + 12. Let x(m) = 2*q(m) - 3*w(m). Give x(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -867619*h**3 + h - 10369874?\nAnswer: -2602857*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15461 - 7730 - 7731 + g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 11*w**2 - w - 12. Let l be n(-11). Let j be 6\/(-15) - (-16)\/30. Let c = -1\/15 - j. Which is bigger: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 - 8302*g - 8304 = 0. What is g?\nAnswer: -1, 4152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcooft. Give prob of sequence ff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -3*s - 5*h, -2*s + 5*h + 27 = -50. Calculate the remainder when s is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 23. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*f**2*u + 320*b**3*u**3 - 29*b**2*f**2 - 2*f**2*u**3 - 5*f**2*u**2 - 2*f**2*u + 3 wrt b?\nAnswer: -6*f**2*u + 1920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 13 = -2*a + 5, 2*b + 5*a + 6 = 0. Suppose -5*o - b*f - 57 = -194, f + 80 = 3*o. Let q = 27 - o. Solve -3*p + 9 = -q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 5*b**2 + 11*b + 7. Let j be f(-7). Suppose -4 = 4*x - j. Let g(p) = 2*p - 9. What is g(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f + 7 = -4*v, 5*v - 2*f - 4 = 0. Suppose -b = 2*b, -v*q + 2*b = -5138. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53646.38 and 1?\nAnswer: -53646.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 1. Suppose 0 = 2*l + 3 - 13. Is 3 a factor of d(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 744 + -740. Let x = -6 + 8. What is the third smallest value in -0.3, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1688*y - 16949. What is m(11)?\nAnswer: 1619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 12:25 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 22 + 29 + 12 + 18)*(587*a - 229*a - 196*a) to the form u*a + l and give u.\nAnswer: 10692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97030029 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.3 - -16.3. Let f = -25 + j. Let d = 12.1 + f. Which is the second biggest value? (a) -0.1 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 240052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1163 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454432699.\nAnswer: 7, 137, 473861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6473728 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - -15. Suppose -m - v - 7 = -2*d, -m + 33 = 2*d. Calculate the remainder when 50 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0694 at least 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 4*b - 32. Let x(p) = 3*p + 31. Calculate -3*v(u) - 4*x(u).\nAnswer: -3*u**2 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3990325*x - 7406065*x - 13253888*x.\nAnswer: -16669628*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 5*x**2 + 5*x + 1. What is o(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310, -1633, -3926, -7189, -11422, -16625, -22798?\nAnswer: -29941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 6*q**2 - 5*q + 1. Let x = -12 + 16. List the prime factors of s(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 6:01 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -16*d - 4. Let l be p(10). Is 3 + l\/(4\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2192)\/(-11) - 162\/594. Differentiate 110*p - 225*p + 92*p + o wrt p.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955583 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8268*x - 281099. Give y(-34).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, 0.32, -1\/141, 3, 5\/2, 2, 13\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*r + 384*r - 40223 = 1699*r + 1109*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -173 - 7 + 1 - 79*k. Let p be x(-29). What is p rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409683539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/2)\/(((-9386)\/76)\/(-247)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -10*i + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5, -4, 4, -3, -62 in decreasing order.\nAnswer: 24, 5, 4, -3, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33\/5 of a decade?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) + 128590\/56. Calculate the highest common factor of p and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Let l = 45\/2 - 22. Sort l, -2\/7, k in ascending order.\nAnswer: -2\/7, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = -2*l - 3*l, 0 = -2*q - 5*l + 38. Suppose -q = -2*t + t. Let n = t - 4. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -25. Let t = z + 45. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -22. Which is greater: j or 16\/5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8611 (base 10) to base 4\nAnswer: -2012203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-2 + sqrt(88) - sqrt(88))\/sqrt(8) + -5.\nAnswer: -2*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 3674.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 11, j: 5}. What is prob of sequence oj?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -15. Let u be (-2 - -1)*(2 + -2)\/(-2). What is the nearest to u in 0, -4, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 11. Give y(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 4*r - 4593. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186870 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 y, and 2 o when four letters picked without replacement from ooyyiiooo.\nAnswer: 20\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 837, 5, 1 in increasing order.\nAnswer: 1, 5, 837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 15*m + 54. Let y be g(9). Does 2 divide 2 + y + 928\/8 + -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 546920?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 735*w + 0*w**2 + 762*w + 8*w**3 - 1479*w - 3*w**2 to y*w + k*w**3 + x*w**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*o**4 - 133995218*o**2 + 498090560 wrt o?\nAnswer: 12*o**3 - 267990436*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/30)\/((-88)\/(-2310)*3).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -8*c. Suppose 199 = 4*w - 3*p, c*w - w = -5*p - 37. Suppose -50 = -6*y + w. Which is smaller: 18 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + 48 - (183 + -169 - 3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*(sqrt(7) - (sqrt(7) - sqrt(49)\/sqrt(112)))**2 + 3).\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, 53, -24?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3996 and 702.\nAnswer: 51948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152368918.\nAnswer: 2, 13, 5860343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2673\/405*760\/(-513)*-9.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3))**(-15))**(7\/4)*(o**5\/(o*((o*o\/(o*o*o*o\/(o**3*o*o)*o))\/o)\/o))**(-1\/12) assuming o is positive.\nAnswer: o**(101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (8 - -6) - 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrhifrhrrri. What is prob of picking 1 f and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + 5*s + 25, 5*j + 4*s - 43 = 0. Let x(d) = -2*d. Calculate the remainder when j is divided by x(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6877 + -6867. Suppose 10*r = 15*r - 20. Solve 4*t - t = l - d, 3*t + r*l + 35 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3840759 is divided by 72.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + -2.8. What is the third biggest value in g, 0.5, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 1\/12*g**4 + 0*g**3 + g**2 + 0*g + 0. Let r(h) = 3*h - 7. Let v(u) = -u + 2. Let w(t) = 2*r(t) + 7*v(t). Calculate f(w(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10954369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117 or 824\/7?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 8. Let r be s(-8). Suppose -2*x - 6*x + r = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 2, 323 in decreasing order.\nAnswer: 323, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 219475 (base 11) to base 10\nAnswer: 349288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**3\/3 - 3*c - 2. What is i(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5528.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 - 17*v**2 + 4 - 2*v - 4.\nAnswer: -12*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2181 + 0.0341. What is i rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2\/13 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 9*g**2 - 8*g - 12. Calculate p(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, a: 9}. Give prob of sequence aa.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k*k**1\/k*k)))**(-43)*k**(-1\/3)\/(k*k*k**(1\/9)*k) assuming k is positive.\nAnswer: k**(-418\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10 = 3*x. Suppose q - x*i = 11, -13 = -3*q - 2*i + 7*i. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j + 4*w - 16 = 17*j, 12 - 16 = -4*j - w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.3 * 0.255.\nAnswer: -4.1565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17511\/1865 + -4\/373. What is the common denominator of h and -1 + ((-3)\/33 - -1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -1.4. Suppose -n - 35 = -5*y, -2*y - 3*n = y - 21. Let f = y + -5. What is the nearest to m in -0.4, 1\/6, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -6. Let h = -5.7 - t. Let d = -16779.4 - -16779. What is the nearest to 2 in d, h, -2\/19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 21 - 9. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16272622, 16272613, 16272602, 16272589, 16272574?\n\"Answer: -o**2 - 6*o + 16272629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 - 107 + 34)*(-4*a + 4*a - 3*a) - 4*a + 5*a - 3*a to the form f + x*a and give x.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 335454.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -163\nAnswer: -32.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3\/2, -2, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 254*v - 252. Let y be b(1). Solve a + 20 = -3*a + y*m, -a - 2 = m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 + 9*v + 7. Let z be r(7). Suppose 4*x - 217 = -0*p + p, 5*x = -4*p + z. Let o = x + 91. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1548)\/(-688)*20\/(-36).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 3 - 3*n**4 - 7*n**4 - 5*n + 13*n**4 + 0*n as l*n + b*n**2 + k*n**3 + j*n**4 + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 291647816327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 21 = 9. What is the lowest common multiple of w and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -265, -296, -325, -370, -449?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from siisfisfmsmffi.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -907364*m + 6351529. Calculate j(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgpg when four letters picked without replacement from rpprrpggprr.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from {h: 3, c: 1, z: 4, l: 3, y: 8}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33371361 to the power of 1\/2, to the nearest integer?\nAnswer: 5777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 2)*(-2 + 2 + 5)*((-2*k - 4 + 4)*(2 + 3 - 7) + 2*k + k - k) to the form v + l*k and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 6*m + 2570 = 17*m + 2636, -2*m - 12 = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*d - 158 = 0, l + 0*d - 3*d = -58. Let b = l - -507\/11. Let v = 0 - 0.5. What is the biggest value in b, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 11 = -5*j - 17, -5*d - 4*j = 6. Solve d*c - 3*p + 17 = 0, p = 5 - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(-1\/11)*z)\/z*z)**(5\/6)*(z**(1\/3))**(-3\/10))**(-2\/33) assuming z is positive.\nAnswer: z**(-767\/5445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10*l. What are the prime factors of r(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t - 41. What is the tens digit of x(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*s + 13*s - 15*s)*(s**2 + 0*s**2 - 3*s**2) + (0 + 3*s + 0)*(-2*s**2 - 3*s**2 + 4*s**2) + 2*s**3 + 1 - 1.\nAnswer: -31*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q - 812 = 15*q. Let x(n) = n**3 + n**2 + n - 19. Let j be x(0). Let r = -4 - j. Calculate the remainder when q is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -270664*z + 10549. Is h(-20) 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 1049?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -1 - 1)\/(12\/(-66)). Let s(f) = -4*f**2 + 2*f - 2. Let d(p) = -21*p**2 + 11*p - 11. Determine y*s(n) - 4*d(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, -4, 1 in descending order.\nAnswer: 10, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, 3, 6, 9, 12, 15?\n\"Answer: 3*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 194878 and 332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**8\/20160 + q**7\/840 - 11*q**5\/30 - 4*q**2. Let z(f) be the third derivative of d(f). What is z(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 439 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -18*t. Let d = 14724 - 14676. What is the smallest common multiple of o(-1) and d?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 907897 and 907895 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = -4*d, -5*k = 4*d - 3*k - 16. What is the derivative of d - 8*f**2 + 0 + 6 wrt f?\nAnswer: -16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - j + 0 - 19 = 0, -2*a = -4*j - 16. Let v(g) = -g**3 + 6*g**2 + g - 1. Calculate the remainder when 22 is divided by v(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 21*a**3 - 2004*a**2 + 38751*a + 376656 = 0.\nAnswer: -7, 304\/7, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 3)*((-4*s + 0*s + 2*s)*(-5 + 1 + 6) + 0*s + s + 0*s + 2 - 3*s - 2) + (-4 + 4 + 2)*(5 - s - 5).\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*k - 3*k. Suppose k*p - 84 = -0*p. Suppose 2*f - x - p = 0, -4*f - 2*x + 3*x = -56. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 3*h + 7*h**2 + 0*h - 3*h. Suppose -3*q = -m, -4*q + 4*m + 2 - 10 = 0. Calculate s(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, q: 2, a: 2, f: 4, y: 1}. Give prob of picking 1 i, 1 q, and 2 a.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22012031232 (base 4) in base 14?\nAnswer: -4cc87c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**3 + 3*q**2 - 7*q**3 + 35*q**3.\nAnswer: 55*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*q + 12049 + 141104. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142272988 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/15 - 18\/45. Which is the third smallest value? (a) 180 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1242009 not equal to -1242009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 70*b - 79*b + 40*b - 78*b.\nAnswer: -191*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -417 - -446. Suppose 0 = -10*f + c + 2611. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04192 - 6.95808. Which is smaller: -180 or h?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.01, -1, -2\/3, 31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20843186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 r when three letters picked without replacement from yyyrqqyrq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1469*p**5 - 347*p**2?\nAnswer: -88140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4154*d*f**3 + 2*d*f**2 - 2*f**3 + 8176*f - 2 with respect to d.\nAnswer: 4154*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnn when three letters picked without replacement from nnnnnnnbnnnnnnnnnnnn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 11*o = 3*i + 22, 0 = -4*i - 4*o - 12. Let p(n) = 6*n**3 - n**2 - 2*n + 1. Give p(i).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -0.4, 3 in descending order.\nAnswer: 22, 3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*q - 16340 = 190*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 5*n - 0*w + 23 - 60, 5*n - 79 = -4*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 443 + -433. Let d(a) = a**3 - 11*a**2 + 7*a + 21. What is d(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upuppup. What is prob of sequence pp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18, -38, -58, -78?\n\"Answer: -20*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 14) + 0 + 4 + -3 + -41\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.89 + 0.11. Let d = -2 + o. Let p = -3 + 8. Which is the third smallest value? (a) d (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332520.\nAnswer: 2, 5, 7, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6824*k**5*u + 26*k*u - 2*k + 2*u - 67 wrt k.\nAnswer: -136480*k**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 9. Suppose -j*o + 138 + 123 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5670 and 270?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5*p - 37 - 168, 4*i + p - 179 = 0. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*t - 2 = -5, 2*d = t + 9. Let c = d - 6. Suppose 0*g - 2*g = c. Sort g, 2, -5 in descending order.\nAnswer: 2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/30 and 17\/1980?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 33 - 12 = v, v = 4*c - 14 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-9 - -7) + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 - 27*y**2 + 8*y**2 - 8*y**3 + 14*y**2.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-7 + 7)) + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 4\/7, -0.091, 4\/5 in ascending order.\nAnswer: -4\/3, -0.091, 4\/7, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + -3 + -5*(-2 + 1 + sqrt(176))*-2)**2.\nAnswer: -88720 + 4800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 + 7*x**3 + 3*x**3 + (-2*x + 14*x - 2*x)*(x**2 - 3*x**2 - 3*x**2) in the form f*x**3 + g*x + u + s*x**2 and give f.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1542000*(154\/(-21) - -4). What is h rounded to the nearest one hundred thousand?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -10100110?\nAnswer: -10100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -195*d. Let t(a) = -3095*a**2 - 52. Give t(q(g)).\nAnswer: -117687375*g**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -18*b**3 - 13*b**2 + 12*b - 1. Is r(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62666.\nAnswer: 2, 31333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12104.87 litres?\nAnswer: 12104870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 = -8. Let p(h) = 650000*h. Let m be p(v). Let k be 4\/(-1*8)*m. Round k to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 25, -1\/7, 7, 2557?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26299 + 6*p + 8*p - 26386 - 7*p.\nAnswer: 7*p - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 1\/2*z**2 + 1\/3*z**3 - 2 + 6*z. Calculate i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/4 + 282051*b\/4 + 282049\/2 = 0.\nAnswer: -282049, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12*m = -45. Suppose -g - 2252 = -m*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*a + 25 - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25.8 (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 97.21557 millimeters?\nAnswer: 9.721557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 694.439 (b) -2\/9 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16.7, 0.5, -46, 4, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -340122 smaller than -340122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.78348 times 3\nAnswer: 2.35044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92.100186 + 92.1. Round u to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107408 + -34524. What is the ten thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -512288, -1024576, -1536864?\n\"Answer: -512288*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4500329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*((-21)\/(-7))\/((-9)\/6). Let k(w) = w**2 + 5*w - 12. Determine k(u).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*x + 18, 0 = 2*t + 8. Let c = -1.1 + 1.12. Let a = 0.02 - c. Sort x, 4, a in increasing order.\nAnswer: a, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5791 - -117?\nAnswer: -5677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1 (c) -1\/23 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 91241 - 4759 = 0. Suppose -2*h + y = 4*k, 2*h + 17395 = 4*k - 6605. Round k to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b141 + 815?\nAnswer: b956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/13 (b) 0.5 (c) -290\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.4, -4.7, -29, 5, 1 in descending order.\nAnswer: 5, 1, 2\/11, -0.4, -4.7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p - 2*r = -2, -p - 5*r + 5 = 0. Suppose -5*n + 3*s + 347 + 284 = 0, p = 4*n + s - 498. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e28 (base 16) in base 8?\nAnswer: 7050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06919 - 0.93081. What is the second biggest value in b, -0.1, 5, -3\/7, 0.398?\nAnswer: 0.398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230449307*x**3 - 167203352*x**2 - 2*x?\nAnswer: 1382695842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 21*l - 72. Suppose 11*y + 33 = l*y. Suppose -t = -12*t + y. Solve t*c - 2 = 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -438527.908441414 + 7.618341414. Let v = 438538 + z. Let t = v + -17.7. What is t rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 222, 440, 658, 876?\n\"Answer: 218*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**4 + 2*r**3 + 1529*r**2 + 66025*r?\nAnswer: 12*r**2 + 12*r + 3058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -198 (c) 26 (d) -1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -759, -1514, -2269, -3024, -3779?\nAnswer: -4534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (10\/((-20)\/(-4)))\/2*931\/(-49)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 263934 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852552.\nAnswer: 2, 3, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -343 + 25353?\nAnswer: 25010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -1 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -14. Suppose -a*z + 25 + 44 = 0. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4119 + 14*q - 3*q**3 - 4119 to the form s + n*q**2 + l*q**3 + z*q and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 17 = -0*q - 2*n, -q - 5*n + 2 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*q**5 + 318*q**4 + 1397*q**3 - 4382*q**2 + 3612*q - 936 = 0. What is q?\nAnswer: -6, 2\/3, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5882.486 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4\/3 - 315158*b**3 - 223481216641*b**2\/3 - 148986532288*b - 223479325696\/3 = 0.\nAnswer: -472736, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-923 + -5)) + 3. Suppose -3*a - 12*k + 696 = -10*k, -k - j = -4*a. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3*y + 0*y)*(-3*y - 2*y + 7*y) + 4*y**2 - 4*y**2 - y**2 + 1.\nAnswer: -11*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.09 - -0.09. Which is the biggest value? (a) 4 (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 31165044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25, -23, 17, 113, 283, 545, 917?\n\"Answer: 3*n**3 + n**2 - 22*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006086 rounded to 6 dps?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -62?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/4)\/j*j\/(j*j*j**(-17))*(j**7\/j)\/j**1 assuming j is positive.\nAnswer: j**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4 + 96*c**3 - 1034*c**2 - 3300*c + 10000 = 0.\nAnswer: -4, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*u**3 - 32\/5 - 16\/5*u - 4\/5*u**4 + 24\/5*u**2 = 0 for u.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23 + (3 - -5)\/(-2). Let s = v - 17. Suppose 5*r - 15 = -3*g, 14 = s*g - 0*r + 2*r. Calculate the remainder when 37 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14467223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 53 = -3*k, p - 2*k - 7 = 2. Suppose 20*l - 4*c = p*l - 1, -2*l = -c + 2. Which is greater: l or 2\/247?\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2876 = -7*t - 42 - 377. Calculate the remainder when t is divided by 135.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) 0.3 (c) -0.7 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3 - 27 = 0. What is the third derivative of -3*f**6 + 3 + h*f**2 - 3 - f**2 wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 + 0.4. Suppose -6*b = -3*b - 15. Suppose 0 = -b*h - k + 19, -5*k = 2*h - 0*h - 3. What is the closest to r in -4, h, -2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -333, -332, -331, -330, -329?\n\"Answer: c - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516414916?\nAnswer: 2, 17, 7594337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12415835 (base 9) to base 2.\nAnswer: -10111001111100010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 14*u**2 - 12*u - 11. Let w be d(13). Suppose w*a = 8 - 18. Let i be (1\/(-1))\/(a\/(-35)). Which is greater: i or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 - 37 = -13*u. Calculate the remainder when 70 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + w = -19, -955*w + 9 = -4*p - 958*w. Find h such that 7\/9*h**2 + 4\/9*h**5 + 0 + 5\/3*h**p + 1\/9*h + 13\/9*h**4 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*p - 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 9\/2, -26, 0.5, 2, -2618?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 446453832 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0*x + 8*x**2 + 0 - 5\/6*x**3 + 1\/4*x**4 + 1\/30*x**5. Let h be g(-4). Solve -h*d + 27 = 5*j, 3*d + 0 + 3 = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 178*v**4 + 16155*v**3 - 16155*v**3 + (2*v**2 + v**2 - v**2)*(v**2 - 2*v**2 - 2*v**2).\nAnswer: 172*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535532 (base 7) to base 11.\nAnswer: -64047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93743*h**4 + 123167*h.\nAnswer: 1124916*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13747 is divided by 2538?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 - 2. Let u(q) = q**3 - 7*q**2 + 5. Suppose -2*y + 5*y - 2*w - 12 = 0, y - 2*w = 4. What is y*u(f) + 10*c(f)?\nAnswer: 4*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 + 83. Let o(r) = 2*r**2 + 10*r + 9. Let c be o(-6). Let f = d + c. Solve a + f = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**4 + 1161*w**3 + 3696 with respect to w.\nAnswer: 8*w**3 + 3483*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 5. Suppose 17 = 3*b - 13. What is the smallest common multiple of q and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 + -3 + 1 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -71*h - 68*h + 211*h - 67*h. Let i(s) = -192*s**2. What is i(p(x))?\nAnswer: -4800*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*j + 2*a, 0 = 2*j + 4*a + 6 + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) - (-2 + sqrt(396) + -1))*-2 + -2)*-4)**2.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 4, y: 5}. What is prob of picking 2 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4343 is divided by 2059?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*v - 3*v - 5, -g = -5*v - 30. Let h = 61 + -487\/8. Sort g, h, -40\/9, -1\/5 in descending order.\nAnswer: g, h, -1\/5, -40\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-42)\/63 + (-438160)\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -356, -61971 in ascending order.\nAnswer: -61971, -356, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5565 + 5472. Which is smaller: g or -91?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -9, -16, -15, 0, 35, 96, 189?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -43?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28200965?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/921 and -20\/1479.\nAnswer: 454053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -18*q**3 + 1. Determine b(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (500 - 500 + 401*g)*(-5*g - 3*g + 3*g).\nAnswer: -2005*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1021\/2 + -3175\/6. Calculate the common denominator of n and (-4)\/(-48)*(614\/10 - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 91171599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19c110c + -2?\nAnswer: 19c110a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -124728 - 3?\nAnswer: -124731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 64, 106, 162, 232, 316, 414?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (20289 + -2)*(-23 + 24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296 divided by -26.\nAnswer: -148\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 261 - 45. Suppose -5*k = -2*o - 155, 10*o - 15*o - 124 = -4*k. What is the remainder when h is divided by k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*f + 0*f = 1404. Let m(x) = -x**2 + x + 1. Let c(y) = 2*y**2 - 19*y + 1. Let q(l) = 2*c(l) + 2*m(l). What is the units digit of q(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20 - 3)\/((-2)\/(-2)). Let w = 19 + -14. Let n be -24 + 1 + 0*w\/(-5). Is n at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x = -146 - 105 - 274 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-1\/4)*v**0*(v\/(v*v*v**0))**(-20\/9)*((v*v**(-2\/3))\/v*v)\/(v*v\/(v*v**(-3)*v))*(v**(2\/5)\/v)**(-32) assuming v is positive.\nAnswer: v**(3511\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -521 - -522. Put -0.1, -2\/3, -5, t in descending order.\nAnswer: t, -0.1, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5044*n - 5051*n. Let o + 1\/3*o**3 + n + 4\/3*o**2 = 0. Calculate o.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66437?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 748623 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-166)\/27 + (6 - -34)*(-18)\/(-120).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = -8*p + 4*p, 4*p + 5*g = -22. Let y(h) = -h**3 + 5*h**2 + 8*h + 5. What is the remainder when -134*3\/(p - 3) is divided by y(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4.3 (c) 9\/4 (d) -2413\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4831*q + 354079 - 354079)*(3*q - 5*q + q) - 3*q**2 + 3*q**2 - 2*q**2 to the form i*q**2 + o + t*q and give i.\nAnswer: -4833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4694070, 4694066, 4694062, 4694058?\nAnswer: 4694054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*o - 0*o - 9652, -o + 5*k = -1912. Suppose -31*j + 27*j = -o. List the prime factors of j.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16789618, 16789620, 16789622, 16789624, 16789626, 16789628?\n\"Answer: 2*r + 16789616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362883792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -923 - 12?\nAnswer: -935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022567 rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 164*h**2 + 9*h + 11. Let b(m) = -301*m**2 - 19*m - 20. Give 6*b(w) + 11*p(w).\nAnswer: -2*w**2 - 15*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*2*(-2)\/8. Let y be -3 - (0 - (-48)\/(-15)). Which is greater: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1 + 2*k + 0*k - 2*k + k**2 - k. Is p(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.46 (c) -0.2 (d) 5 (e) 303\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119202, -119212, -119222, -119232?\nAnswer: -119242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**3 - 16*c**2 - 27*c - 9. Let q(z) = -5*z**3 + 32*z**2 + 52*z + 18. Let g(y) = 4*q(y) + 7*w(y). What is the units digit of g(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p**2 - 3*p - 187. What is g(0)?\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/3 (b) 1 (c) 0.13 (d) 3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6946540 divided by -85\nAnswer: -81724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*l**3 - 2231018*k**3*l - 2*k**2*l**3 + 23*k**2*l - 65*k**2 - 3*k*l - k - 6*l wrt k?\nAnswer: -6*l**3 - 13386108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9656, 20030, 30394, 40748?\n\"Answer: -5*c**2 + 10389*c - 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/3)\/(10\/(-15)))\/((-19)\/(-285)*-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + t + 1. Let h be k(-1). Is (28 - (0 - h)) + 0 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hty when three letters picked without replacement from {h: 4, y: 4, x: 2, t: 6, s: 1}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (40\/(-30))\/(2\/147). Is (m\/1 + 1)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6485 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-4))\/((-138)\/184)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = -5*c - 55*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/8)\/(-9) - 52107\/(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u = 32*u + 42. Solve -9 = a - u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (6*sqrt(52)\/sqrt(4) - (sqrt(13) + -1 + sqrt(13) + 1)))**2.\nAnswer: 8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22102 - -2?\nAnswer: 22111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10*d**3 + 11*d**2 + 111*d + 6. Let g be (-30)\/(8 - 13) + -4. Let x(y) = 2*y**3 + 2*y**2 + 22*y + 1. Give g*k(r) - 11*x(r).\nAnswer: -2*r**3 - 20*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/416 (b) 0.07 (c) 12.6 (d) 2\/11 (e) 2\/9 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53010410?\nAnswer: 2, 5, 73, 72617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1911 - 1921) + (-1 + -1 - (12 - 0))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369008?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -4. Let p = 3 - 1. Suppose o - 5*f + 26 = 2*o, 4*f = p*o + 18. Sort o, -6, u in ascending order.\nAnswer: -6, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 2:56 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000761 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -14. Let f be (1\/q)\/(2\/(-8)). What is the nearest to -1 in 0.4, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 11 + 9 = 0. Suppose -5*u + 306 = 29*u + 170. Put -54, -4, u, z in descending order.\nAnswer: u, -4, z, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, s: 11}. Give prob of picking 4 s.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4358*x**3 - 4*x**4 + 4326*x**3 + 4*x**5 - 19*x**2 + 67*x**2 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -3183133?\nAnswer: 12732532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mugdnungggudugdd. Give prob of sequence gd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d + d82?\nAnswer: da0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1626007 and 12552.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 3551.262?\nAnswer: 3546.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h**3 - 5*h**2 + 10*h - 8. What are the prime factors of f(3)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338531793 to the power of 1\/3, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/597 and 44\/7?\nAnswer: 4179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - -12. Let n = -66 + 45. Let g = z + n. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 + 5*b**3 - 4 + 7 + 7*b**2 to q*b**3 + d*b + w + i*b**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42893*d**2 + d - 4 + 4 + 42910*d**2.\nAnswer: 17*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (0 + 0)) + -2. Let c(d) = d**2 + 0*d**3 + 0*d**3 - 3*d - 1 + d**3. Let g be c(x). Solve -r - g = -0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4, -2*x - 73 = -4*s - s. Solve -s = -8*c + 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*f*m**2*r**2 + 99*f*m*r**2 - 3*m**2*r - 2*m*r - 2*m - 8*r**2 with respect to f.\nAnswer: 30*m**2*r**2 + 99*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*a + 6*a. Let p be ((-21)\/a)\/(1\/(-4)). Suppose 4*u = 6*u. Solve -3*m - g = 8, -2*m + u*g - 5*g = p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4999 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-2 + -4)**2.\nAnswer: 64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 1122.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from {l: 4, g: 1, q: 1, c: 1, v: 1, m: 11}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366710?\nAnswer: 2, 5, 36671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = 40 + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6961465 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b*g**2 + 6*b + g**3 - 2*g**2 + 3*g + 1 wrt g.\nAnswer: -10*b + 6*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4391*l + 1661*l + 126664 = -121468 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*11*8260\/(-4543)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -5*k + 23, -1396*y + 3*k = -1390*y + 21 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39188.56 milliseconds in seconds?\nAnswer: 39.18856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/96*(-36)\/(-30)*25?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from bmnmmbnnbbnbbm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 55 = 5*y, 4 = -7*j + 6*y + 80 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(9\/(-108)*324\/(-144))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 3061 and 41042 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 + 13*w - 15. Let a(b) = b**2 + 3*b - 4. Determine 9*a(d) - 2*k(d).\nAnswer: 3*d**2 + d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(((-115)\/(-10))\/(-23))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/4, 0.5, -3, -6\/11, 2\/3, 4\/19?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.15 to 0 dps.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1074 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325265 is divided by 746.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5)*(-174)\/(-3132))\/(1\/(-9))*-14.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l + 82. Let i be r(8). What is the hundreds digit of (8\/3)\/(15\/(22725\/i))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701417299.\nAnswer: 11, 41, 1555249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c + 19. Let i be d(7). Suppose 0 = -2*p - s + 60, 3*p + 2*p = i*s + 180. Suppose p = k + 21. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 51, 75?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -39*p - 370. Determine v(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 1:45 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4524295, -18097169, -40718625, -72388663?\n\"Answer: -4524291*w**2 - w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -259\/5 + 52. Suppose b = 3 - 7. Let v be (6\/(-36))\/(2\/b). Sort -0.4, v, t.\nAnswer: -0.4, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2317 - 2316.7. Let h = 141 - 66. Put f, -1, h in decreasing order.\nAnswer: h, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, q: 1, v: 1, l: 1, t: 2, m: 1}. What is prob of sequence qt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118806789*p**5 + p**2 - 117171288 wrt p.\nAnswer: -7128407340*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80720 - -42587. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -37072?\nAnswer: 37079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1243995)\/(-15) - (3\/(-1) + (4 - 7)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(208) - (3 + sqrt(208) + sqrt(208) + 1))*-1 - -4*(-2*sqrt(208) - sqrt(208))*2) + -1.\nAnswer: -92*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -40. Calculate the remainder when w is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1068187 rounded to the nearest 1000?\nAnswer: -1068000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 2:48 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.2 and -131.\nAnswer: -133.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 291399*c**2 - 582802*c**2 + 291401*c**2 + 11.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15699 (base 10) to base 15.\nAnswer: -49b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjbhj. What is prob of picking 1 b and 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2640744 divided by -36677\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-8))**(-14) assuming m is positive.\nAnswer: m**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -29*q + 162 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2004 and 12?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -296, -560, -820, -1076, -1328, -1576, -1820?\n\"Answer: 2*c**2 - 270*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1510*d + 11. Let o(u) = -u - 3. Determine 3*o(f) + w(f).\nAnswer: 1507*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2 + 1 + 337*w**2 - 335*w**2. Let g(f) = 9 - 8 - 1 - 16*f**2 + 12*f**2. Determine g(y(k)).\nAnswer: -16*k**4 + 16*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 191\/129 + 5\/258. Let 0 - 3*z - m*z**2 = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42376.41 + -42598. What is j rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*o + 183454 - 236379 = 0 for o.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3 = d, 4*w + 4*d - 36800 = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 111*k**4\/4 + 91*k**3\/2 - 361*k**2. What is the first derivative of q(o) wrt o?\nAnswer: 666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 265\/(-55) + (-2)\/11. Let b = -1 + j. Let h(n) = -n**2 - 4*n + 7. Let f be h(b). Sort f, -0.4, 3 in decreasing order.\nAnswer: 3, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -7 - (-15 - -7 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/7 (b) -0.3 (c) -11 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33.2185 and -464.\nAnswer: 15413.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -392132, -392133, -392134?\nAnswer: -392135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6)*(-693)\/154)\/(18\/(-156))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643225428?\nAnswer: 2, 3, 89, 66919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45595 (base 13) in base 7?\nAnswer: 1033630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 0*u**2 + u**3 + 0*u**4 + 24*u + 0 + 6\/5*u**5. Find the second derivative of f(m) wrt m.\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 3:10 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1395 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -402*p**2. Let s(c) = -3*c. Determine m(s(l)).\nAnswer: -3618*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 + -352 - (1 + -3 + (21 - 5))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 20, 0 = 2*q - 8*u + 1362 - 1312 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11183346 = -180*g + 9916794. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 76*m**3 + 11*m**2 + 14*m - 74. Is 27 a factor of c(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u + 7444 = -76*u - 7395 + 7447 for u.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 808 and 2824667?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -7 (b) 4 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 + 7 - 7)*(-5*o**3 - 4*o**3 + 5*o**3 + 62*o**3 + 75*o**3 - 108*o**3 + (-o - o**2 + o)*(-2*o + 4*o - o)).\nAnswer: 120*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 33108*g + 69830816.\nAnswer: (g + 2264)*(g + 30844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l, s - 5*l = 2*s - 2. Let u be ((3 + -3)\/1)\/s. Solve u = -0*p - 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 932469*j**4 + j**2 + 4388160*j?\nAnswer: 11189628*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h = -61*h - 175 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48701 + 6847?\nAnswer: 56648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from evbve.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 346 + -336. Solve h = 37*j - 32*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.011? (a) 2\/7 (b) 0 (c) -53.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-168)\/196)\/(-2*(-6)\/(-56)). Solve 17*z - 21*z + n = 4*j, 0 = -z + 5*j - 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118\/7*m - 62\/7*m**2 - 2\/7*m**3 - 58\/7 = 0.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o\/(o**(2\/5)*o)))\/o)\/o)**(-9\/5)*(o*o\/o**33)\/(o**(-21\/8)\/o) assuming o is positive.\nAnswer: o**(-4899\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 1. Let w(i) be the first derivative of i**2\/2 - i - 4. Let x(k) = 5*h(k) - 4*w(k). Calculate x(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/18*-3*(-35)\/1. Suppose 0 = g + 171 - h. Solve -2*y + 11 = -t, 4*t - g*y + 39 = 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50713, 50556, 50399, 50242?\nAnswer: 50085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from {q: 4, n: 2, j: 2, u: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156 is divided by 564?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 186? (a) 49 (b) 0.4 (c) -133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 5*g - 3. Let p be -6*((-8)\/3 - -3). Let q(a) = a**3 + 2*a**2 + 3*a + 2. Let m be q(p). Calculate u(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346683919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 69\/6 + 3\/(-6). Suppose -12*h + 1 + t = 0. Let n = h + 3. Solve 5*v + 1 = -n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**4\/15 + 83*y**3\/30 + 92*y**2 - 10594*y. Find u, given that r(u) = 0.\nAnswer: -8, 115\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 36337191?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5254.\nAnswer: 2, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 3*h + 25, 35185*y - 35186*y + 5*h = 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-77)\/(-3) + 16\/(-24). Suppose -s + 6*s = 2*j + a, 4*s + j - 7 = 0. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.8 - -5. Let s = i + -0.1. Is s > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 209683, 419332, 628981, 838630, 1048279?\n\"Answer: 209649*s + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 220 = -4*z + g, -3*z - 165 = 4*g. Let h = 77 + z. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 18*j - w + 4232 = 0, 2*j - 2098 = 4*w. Is 30\/(-75)*10\/2 + j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 22 + (1\/1 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8644767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 + 28 + 26 + 103*f**3 - 2*f to w*f**2 + b*f**3 + m + o*f and give b.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003505 to seven decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/3, -0.16, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*i - 6*i - 8*i)*(0 + i + 0) as j*i + h*i**2 + g and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(2 + 2*(-34)\/16). Is 3*(-5 + 4)*28947\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 256 and 434?\nAnswer: 55552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 371161433 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(10)\/sqrt(2))*-5 + (sqrt(125) - (-2 + sqrt(125)))**2.\nAnswer: -10*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.74 + 1.26. Let q = 1 - 0. Let c = q - 3\/2. What is the closest to g in -3, c, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2641 divide 52030341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 575\/65 + (-30 - -21). What is the nearest to 1 in 0, 57, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*g = 6125, -g - 10497 = -5*m - 300. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.309815 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 502 * -0.095\nAnswer: -47.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(0*g + 0*g - g**3 + 2*g**3 - 4*g**2 + 4*g**2 + (-1 + 2 - 3)*(5*g**3 - 3*g**3 + 0*g**3))*(8 - 71 - 81).\nAnswer: 864*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19876 (base 11) to base 2.\nAnswer: 110110000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 b when three letters picked without replacement from {v: 1, f: 8, b: 6, g: 1, e: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -258503*g**5 - 2*g**3 - 103473*g**2.\nAnswer: -15510180*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -23 - -37) + -13 - -31\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 4*d**2 - 13*d + 14. Let a be x(6). Suppose 4*r = 3*r + a. Solve h - r = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*o - 485 = -0*o, 2*n + 5*o = -1045. Let v = -361 - n. What is v rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/3*45\/(-30). Let y = 0 + 5. What is the first derivative of -l + v + y*l - l wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1180266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnnqqqnnqnqqqqnnnnqn. Give prob of sequence nnnn.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -1. Let i = j - -0.1. Let o = -5 - -5.2. Which is the nearest to o? (a) i (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3\/5 (c) -6\/5 (d) -4 (e) -0.1 (f) -2\/129 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 322 + -223. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -94\/13, 1.23 in descending order.\nAnswer: 1.23, -94\/13, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(2\/7))\/t*t*t**(-3)\/t*(t*t\/t**(1\/3))**(1\/2)*t**(-4)*t\/(t\/(t*t*t\/(t\/(t**1\/t)*t)*t))*t*t\/t**(-4\/3)*t*t**2 assuming t is positive.\nAnswer: t**(121\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -1 + -3 - (4 + (sqrt(2) - sqrt(18) - sqrt(2))))**2 + (sqrt(22)\/(sqrt(11) + sqrt(11) + sqrt(44) + sqrt(11)) - (sqrt(288)*2)**2).\nAnswer: -1056 - 319*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 613\/(1406835\/1377)*(-20)\/54?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 26. Let a(j) = j**3 + 7*j**2 - 10*j - 14. Let b be a(y). Let g(n) = -n**3 + 5*n**2 + 8*n - 2. Let m be g(6). Solve 4*q + b = m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -1\/399659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 356 = -5*l. Let r = l - 59. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z + 533 - 449. Which is smaller: z or 50\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*v**2 - 347*v**2 + 1039*v**2 - 345*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 590.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 320283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 6*v + 2*n + 56, 0 = -47*v + 56*v - n - 72 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiiirririioiiirir. What is prob of picking 2 r?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**5\/20 + g**4\/4 + 2*g**3\/3 + 5*g**2\/2 - g. Suppose -2*c = -11 + 3. Determine k(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.129 or -16797?\nAnswer: -16797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 10 - 24. Let o(t) = t**3 - 8*t**2 + 9*t - 7. Give o(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 545255936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 711 and 35773649?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w**3 + w**2 - 3*w - 6. Let p = 4 - 8. Let g be x(p). Round g to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8239 (base 13) in base 8?\nAnswer: 43052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 11) to base 16.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -3, -1, 0, -14.\nAnswer: -23, -14, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 4*n = 8*p - 19, -p + 23 = -3*n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*n - 7. Suppose 0 = -2*z - 3*g + 13, 7*g = n*z + 3*g + 4. Put -5, z, -4 in decreasing order.\nAnswer: z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1868472*b. Let y(f) = -25*f**2. What is y(c(o))?\nAnswer: -87279690369600*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w**2 + 13*w**2 + 17*w**2 + 36*w**2 + 3*w**2 - 111*w**2.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88)*1 + sqrt(88)))\/sqrt(8) - sqrt(44)*1.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*t + 6608*t**2 - 170*t + 2804*t**2.\nAnswer: 9412*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70028 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.59 + 0.08180279387.\nAnswer: -10.50819720613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 8:17 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182142541.\nAnswer: 7, 41, 634643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55 + 34976?\nAnswer: 34921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + (11 - 8) + (0 - 0). Suppose 11*u = 7*u + p. Solve -u*o - 19 = -5*z, z - 6*z - 2 = 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {i: 1, z: 1, o: 2, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 6*t**2 - 237*t + 3236. What is r(11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + -71. Let d = -86 - t. Solve -u + d = 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/n*n\/(n*n\/(n**2*n)))**(-15\/4)*n\/n**(-1)*n**(-1\/2)*((n\/n**(2\/5))\/n)**32 assuming n is positive.\nAnswer: n**(-169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 574 divided by -3\nAnswer: -574\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.4, 5, -4, 2\/63 in increasing order.\nAnswer: -4, 0, 2\/63, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, l: 3}. Give prob of sequence rrll.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/32)\/((-3)\/(-12))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 4 (c) -151 (d) 157\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17 - -27)*2\/(-4). What is the nearest to 1\/3 in -2\/9, 77, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2 - 16*m + 6. Let f be z(-4). Which is the third smallest value? (a) f (b) -1\/5 (c) 0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 326, 1080, 2552, 4982?\nAnswer: 8610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/4380? (a) 9 (b) 1\/10 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 130, 152, 176, 202, 230?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 716 - -467.\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + a**2 + 0*a**2)*(0*a - 2*a + a) - a**3 + 0*a**2 + 0*a**2 + (5*a**2 - 3*a**2 - 4*a**2)*(-40*a - 27*a - 53*a).\nAnswer: 241*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*q**6 + q**3 + 197*q**2 wrt q?\nAnswer: 1680*q**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 1 + 3. Let k = 9151 + -9130. Sort 0, k, y, -1 in ascending order.\nAnswer: -1, 0, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17676670*h**3 - 20417200*h**2?\nAnswer: 106060020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 9*i**2 - 12. Let m be c(-10). Let a = 933 + m. List the prime factors of a.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, k: 2, o: 9, n: 3}. Give prob of sequence nogk.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/8 - -5\/56. Which is the smallest value? (a) -0.2 (b) r (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -103370\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31546.92 years to millennia.\nAnswer: 31.54692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-340)\/31 - 319\/9889. Suppose 5*b = -k + 4*k - 40, -k + b + 10 = 0. Put 6, m, -4, k in descending order.\nAnswer: 6, k, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 6 = -2*k - 15*n, -k - 4 = 3*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 674813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -665, -304, -26.\nAnswer: -665, -304, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2895 + 2943 - 5906 + 12*s**2 to the form v*s + p + w*s**2 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 979*x = -7710 + 19458 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0*u)\/u*u)**30*(u\/u**(2\/7))**(-29\/2))\/((u\/u**6*u*(u\/(u\/(u\/(u\/(u\/(u**0\/u))))))\/u)\/((u**(-1\/3)\/u)\/u**3)) assuming u is positive.\nAnswer: u**(769\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + 2*sqrt(2).\nAnswer: -7 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -204\/5. Suppose 6*n + 4*n = -30. Which is the fourth biggest value? (a) j (b) 4 (c) 3\/2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 0, 50, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 848 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Let t(x) = -p*x**2 + 2*x**2 - x**2 - x**2. Let y(k) = 2*k**2. Determine y(t(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1501 + 239 = 29*p. Suppose 3*n - 435 = -2*n. Let z be ((-5)\/(-25) - n\/p)*-4. Solve -4*d = -z*x + x - 4, -d = -3*x + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -18 - (1 + -1) - (-6 + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 12, k: 1}.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -84*s + 15410. Let b be w(183). Let r(v) = v**2 - 5*v - 4. Let o be r(6). Calculate the highest common factor of b and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10146 * -0.012.\nAnswer: 121.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -522 + 524.71. Let m = -2.6 + o. What is the closest to 3 in -3\/5, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(605) + -1 + 5.\nAnswer: 1 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20318a (base 15) to base 6.\nAnswer: 52435434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58335*i**2 + 3*i**4 + 129916*i**2 - 48283*i**2 + 1296*i**3.\nAnswer: 3*i**2*(i + 216)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/12 - 4268\/(-32)*10.\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14108677+-0.2\nAnswer: 14108676.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795922.\nAnswer: 2, 167, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m - u + 1, 16 = 4*u. Suppose 0 = -4*q - w + 3*w + 36, -4*q - 4*w = -48. Suppose -m*v + q = 4. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40057 or 43?\nAnswer: 40057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i - 4*i + 0*i + (-i + 4*i - i)*(-3 + 4 - 2) - 4 - i + 4 + 0*i + 2*i - i - 1102*i + 909*i - 3383*i.\nAnswer: -3577*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*r - 23*r + 5*x - 16, 8 = 2*r - 3*x. Solve 0 = -2*o - r, 5*p = 5*o - 15 + 40 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 4*v**2 - 7*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1449244764 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 0*t**3 - 1\/4*t**4 - 1\/10*t**5 + 0 + 0*t + 8*t**2. Let g(p) = 20*p - 54*p + 32*p. Calculate g(i(f)).\nAnswer: 12*f**2 + 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esj when three letters picked without replacement from {s: 1, e: 3, j: 1, o: 5}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 23967*-2\nAnswer: -47934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 8*l - 82. Let j be v(6). Find the second derivative of 55*n**2 + 26*n**j - 136*n - 24*n**2 + 10*n**2 wrt n.\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*n - 395*n = -241*n - 5425 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 89, 96, 121, 170, 249, 364, 521?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1494364071?\nAnswer: 3, 10289, 48413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000295 to six dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8030 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*g + 36 = -60*g. Which is the closest to -0.1? (a) 1 (b) -22 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44.7 + -47. Let i = 2.1 + g. Let d = i - 5.8. Which is greater: 1\/3 or d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyerjerroeroryyeylr. What is prob of picking 1 e, 1 l, 1 o, and 1 r?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*q - 8, -5*y - 7 + 8 = 3*q. Solve q*m = 5*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a week in hours?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*f - 384. Let l = 10 + f. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20412 in 5, -1\/46, 1?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*t**5 - 5*t**2*y**3 - 6*t*y**2 - y**3 - 7*y wrt t?\nAnswer: -520*t**3 - 10*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/40 and 54\/95?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 22, -5 in decreasing order.\nAnswer: 22, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19077101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(2*sqrt(12)*-6) + -3 + 0 + sqrt(2448) + sqrt(2448))**2 - (-6*(0 + sqrt(68)) - ((sqrt(136)*-1 - sqrt(136))\/sqrt(8))**2*-5).\nAnswer: -263*sqrt(17)\/2 + 1352609\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5808 and 6134942?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*r - 469 + 277 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 2547*j - 20184.\nAnswer: -3*(j - 841)*(j - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6444 + 9210 + 9225)*(-2 - 2*k**2 + 2) as q*k + t*k**2 + i and give t.\nAnswer: -23982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -27433?\nAnswer: 13\/27433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3499, 3505, 3515, 3529?\n\"Answer: 2*v**2 + 3497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27884?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from ctcocmcbbo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 7 - 11\/11.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s + 10 = -11*s + 64. Sort 42, s, 5, -7 in ascending order.\nAnswer: -7, s, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 11835*p - 71019. Give a(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -86, 49, 278, 601?\n\"Answer: 47*i**2 - 6*i - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7*56\/24.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntntt. Give prob of sequence tt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.142157ng in grams?\nAnswer: 0.000000007142157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, 4, 22802 in ascending order.\nAnswer: 4, 145, 22802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30572125891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -194*q + 291. Let l(z) = -2*z - 3. Calculate -194*l(u) - 2*x(u).\nAnswer: 776*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/(-14) - (1 - 2) and (-71)\/240 + 22\/(-33)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48135*o**2*u**2 - o**2*u*y + 3*o**2 - 2*o*u**2 + o*u*y + o*u + 11*o*y - 9*o wrt o?\nAnswer: -96270*u**2 - 2*u*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 28*u**2 + 33*u + 54. Let o be w(-26). Let q = 790 - o. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -515 >= -502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*k + 7713, 2*x - 8*k + 5*k - 7715 = 0. List the prime factors of x.\nAnswer: 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -2 + 7 + -2. Let q be (-14)\/(-36) - 3\/k. Let l(h) = h**3 - 5*h**2 - 6*h + 1. Let i be l(6). What is the nearest to 0 in q, -2\/5, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 2*u**4 + 0*u**4 + 53*u**4 + 202*u**3 - 202*u**3 + (-u**3 + u**3 - u**3)*(0 + u + 0).\nAnswer: 53*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -64. Let r be 16 - (2 + n\/2). Solve -c - 4*d = 3, 5*c + 4*d - r = 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k\/(k**(-3)\/k))\/k)**(-1\/46) assuming k is positive.\nAnswer: k**(-3\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3 = -s, 5*p = s - 3*s. Suppose l = -p*f + 1, 5*f + 2 - 12 = -l. Solve -3*d = -f*z + d + 35, 5*d + 10 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1266*11*(-27)\/162. What is the highest common divisor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 75*w**2 - 6*w - 6. Let i(n) = -15197*n**2 + 7602*n**2 - 5 - 5*n + 7671*n**2. Give 6*i(t) - 5*s(t).\nAnswer: 81*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15.5112 and -0.2?\nAnswer: 15.3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 779 = -5*f + 299. Let a = 143 + f. Suppose 5*t - a = 13. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.028911596 - 89\nAnswer: -88.971088404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnpnjjnpnjnpjnjpj. Give prob of sequence pnn.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 473034805*w**2*z**2 - 232*w*z**2 + 18959*w*z + 4*w + 2*z**2 - 2 wrt w.\nAnswer: 946069610*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1\/15, -95, -2?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -80. Calculate the smallest common multiple of f and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**3 + 2*v + 1. Let u(k) = 10*k**3 + k**2 - 4*k - 2. Let b(x) = 5*q(x) + 3*u(x). What is the remainder when b(2) is divided by (-5 + 18)\/(1 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0*f - 44. Let x = 37 - 25. What is the remainder when f is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88744529*a**2 + 108603259?\nAnswer: 177489058*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3246*f**3 + 3*f**2 - 2*f - 5. What are the prime factors of k(-1)?\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 4)\/((-2)\/(-8)). Let g be 3 + -1 - 8\/(-4). Suppose 2*j - 20 = -2*j, -3*z = -g*j + 20. Put z, 1, q in increasing order.\nAnswer: z, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, -1\/6, -1, 16?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/7)*f)**7*f**(-39)\/((f\/(f\/((f\/f**(24\/7)*f)\/f)))\/f) assuming f is positive.\nAnswer: f**(-242\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 311 + -517. List the prime factors of (309\/r)\/(-1*(-2)\/(-724)).\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, m: 2}. Give prob of sequence eeem.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 14172*u. Let l(d) = -d**2. What is g(l(t))?\nAnswer: -14172*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*y - 7. Suppose 0 = 4*q - h + 3*h - 192, -5*h - 240 = -5*q. Calculate the greatest common divisor of y and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50065 by 2945.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c + 1. What is q(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1215) - sqrt(1215)*2*-4) + (sqrt(1215) + sqrt(1215)*-2*-1 - sqrt(1215)))\/(sqrt(147)*2 - (sqrt(3) - 3*(sqrt(3) - sqrt(75)))).\nAnswer: 99*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9804495, 9804541, 9804587, 9804633?\n\"Answer: 46*z + 9804449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-3)\/(124434\/4). Let a = -4084925895585\/2713546064 - -37083350\/24533. Let r = s + a. Find the common denominator of r and 55\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -326*s**4 + s**3 + 1180*s**2 + 8373209*s - 1?\nAnswer: -3912*s**2 + 6*s + 2360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 + 16 = -2*w, -3*k - 5 = -2*w. Which is the nearest to 0? (a) w (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 - (4 + -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 11:41 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4158090 rounded to the nearest 100000?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 9*v**2 - 2*v**2.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10789*l - 129501. Give z(12).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 129504*p**2 - 1047427920*p - 12587790528.\nAnswer: -4*(p - 16194)**2*(p + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-5 + (4 - 1)). Suppose u + s*u + 2*i = 8, -2*u + 25 = -5*i. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -28. Let u = -20.6 - b. Let n = u - -1.8. What is the nearest to -2\/3 in n, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-4 + ((-4662)\/(-195))\/6) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j + 3. List the prime factors of a(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.09604 millilitres in litres?\nAnswer: 0.02309604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7056261 and 1431?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 478. Let m(u) = -41. Determine b(y) + 5*m(y).\nAnswer: 2*y - 683","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**3\/k)\/k)*k**(-9)*k*k)\/(k**(1\/5)*k**(-3\/5)\/k) assuming k is positive.\nAnswer: k**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5641 - 11538 - c**3 + 5897.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 509 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -537.65 and 1340.\nAnswer: 802.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a**2 - a - 21000. Let r be p(0). What is r rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qllqllqlqllqlqlq. What is prob of sequence lq?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 538\/7 - 77. Let u = -80.1 - -80. What is the second biggest value in l, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhamt. Give prob of sequence tzm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-20) + (-110)\/(-550)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27, 83, 167, 273, 395, 527, 663, 797?\n\"Answer: -o**3 + 20*o**2 + 3*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -91*o + 1524. What is the remainder when 7071 is divided by j(16)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.12884 times -24?\nAnswer: -315.09216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -537, 13.\nAnswer: -537, -4, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/3, 121, -1\/59, 0.31 in decreasing order.\nAnswer: 121, 2, 0.31, -1\/59, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide (0 + 6 - (-11475)\/162)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than or equal to 534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -493577, -987155, -1480733, -1974311?\n\"Answer: -493578*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {n: 7, k: 2, p: 1, u: 9}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 6 = 5*v, -3*w - v - 2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:43 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**5 + 2*w**5 + 2*w**5 - 3*w**5 + 6*w**5 - 2*w**5 + (-w**4 - 2*w**4 + w**4)*(2 - 2 - w) + 0*w**5 + 0*w**5 + 2*w**5)*(-4 + 1 - 4).\nAnswer: -49*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26, -13, -50, -85, -118, -149?\n\"Answer: i**2 - 42*i + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137 - -136. Let i(h) = 2751*h**2 - h - 2. Let l be i(k). What is l rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t + 116 = 47 - 101. Solve 0 = -t*z - 2*i - 1 + 31, 5*z - i - 15 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4836 is divided by 1324?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 324 = 668. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 1\/6 (b) -0.42 (c) -13 (d) -3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5411*s. Let h(t) = 2*t. Determine h(z(o)).\nAnswer: -10822*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(1 + 0) + 1. Suppose o - 6 = q. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 513\/8303 + ((-32)\/(-92))\/8.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3300041, 3299978, 3299911, 3299840?\nAnswer: 3299765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -388?\nAnswer: -1\/388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -5\/1362?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 7*v + 135. Let i(a) = 2*a**2 - 18*a + 13. Let l be i(v). Round l to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/5, -25, -2\/7 in ascending order.\nAnswer: -25, -0.3, -2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 = -b - 8, 5*b + 34 = 3*s. Let f be 359 + (2 - 0) + b. Suppose -f - 299 = -l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*f = 62 - 677, 0 = 5*f - 25. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 x when three letters picked without replacement from fxfrffbrxrr.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3369 and -454.\nAnswer: -1529526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-26))\/(-1) + 5162\/754. Let j be 565\/v - 14\/(-49). What is the greatest common divisor of j and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3090341015 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 m be 18\/63 - (-57)\/21. Suppose 2*c + m*z = -6, 0 = 2*c - 5*z - 7 - 3. Let i be (4\/(-5))\/(c + (-3)\/30). Solve -3*b = 4 + i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 3*f + 1. Let l(z) be the second derivative of -z**3\/3 - 3*z**2\/2 - z + 6. Let t be l(0). Determine c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 13*r - 30 - 10*r)*(-22 - 15 + 9).\nAnswer: -84*r + 1260","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1255298)\/(-10) - (-296)\/(-370) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 2*n + 44 - 12 - 15.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.13 + 2.23. Which is the nearest to v? (a) -3\/4 (b) 5\/8 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + -914.603.\nAnswer: -914.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 1 - (75 + -80)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -4 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(12)\/(sqrt(32)\/sqrt(8)))**2 - (sqrt(363) + -1 - (2 + sqrt(147)))**2.\nAnswer: -42 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 - -74. Let j = 19 + p. Which is the nearest to j? (a) -0.5 (b) -1 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -48. Suppose t - m = -10. Solve -t*c = -h + 8, -8 = 5*h - 0*c + 4*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/(3\/15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*l - 15*l - l + 13950. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 9*i**2 + 8*i + 8. Let c be r(-8). Suppose 8*n + c = 12*n. Is 2 + -44*(-1)\/n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1036*t + 365. What is x(0)?\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + r - 4*r**2 + 5*r - 3*r.\nAnswer: -2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2335 - 3277. List the prime factors of ((-6)\/(-9))\/((-4)\/z).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1368165, 1368125, 1368027, 1367847, 1367561, 1367145, 1366575?\nAnswer: 1365827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -p + 2*v, 3*v - 12 = -3*p + v. Let g = 0.2 - 0.1. Which is the closest to g? (a) 1\/2 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39666 divided by 3606.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**3 + m**2 - 4157159*m - 489863938?\nAnswer: -6*m**2 + 2*m - 4157159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1*-3)\/((-18)\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or -28\/43?\nAnswer: -28\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*x**3 - 5*x + 1 + 13*x**3 - 23*x**3 in the form q*x + v + w*x**2 + s*x**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/(-9)*1\/(-4). Let s = 886 - 885.7. Let t = -1 + 6. Which is the nearest to x? (a) s (b) 3\/8 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-285)\/57 - (-6 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 14*b - 4. Let x be k(0). Let u be 24\/(-30) - x\/5. Let n(j) = -j**3 - j**2 + j + 18. Calculate the remainder when 52 is divided by n(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -87, -83, -79?\n\"Answer: 4*m - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8972788, -8972780, -8972772?\nAnswer: -8972764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -39\/23 and -0.98 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*z + 15818 = 2*x + 431*z, -z + 31636 = 4*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2231553347 and -1.1.\nAnswer: -2231553348.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 4*m + 460 = -2*x - 2*x + 2*x, -232 = 958*m - 960*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1210*m**2*n**3 + 68*m**2*n**2 - 21*m**2 - m*n**2 - 2*m + 8*n**3 wrt n.\nAnswer: -7260*m**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -176*f**3 + 14*f**2 + 14*f + 14. Suppose 7*u + 19 = 14*u + 117. Let l(b) = -35*b**3 + 3*b**2 + 3*b + 3. Calculate u*l(n) + 3*m(n).\nAnswer: -38*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 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 d(o) = o**3 - 77*o**2 + 1018*o + 25. Give d(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-4))\/(9\/4*(-16)\/(-72))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (6 + -14 + 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/18)\/((-4)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k**2 - k + 1. Let d(s) = s**3 - 2945*s**2 + 2*s - 4. Determine d(i) + 2*g(i).\nAnswer: -i**3 - 2943*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-88)\/12 - -8)\/((-4)\/(-6)). Let h(l) = -l**3 + 2*l**2 - 2*l + 2. Let j be h(2). Calculate the remainder when -2 - (j + -24 - p) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002971 to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -27. Let b be g*(-38)\/(-8)*-214. Suppose -3*z + 4*h = -16778 - 1502, -h - b = -5*z. What is z rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.8, 34, 3\/4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13056.1 - 38849.5. What is d rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*k = -116 - 3404 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/37600 - -46999\/37600. Factor 1\/4*i**2 - f + i.\nAnswer: (i - 1)*(i + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-20))\/((-4)\/(-8)))\/((-127)\/889).\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**4 + n**4 - 2*n**4)*(0*n + 3*n + 0*n) + (-2*n + 4*n + 0*n)*(3*n**4 + 4*n**3 - 4*n**3) - n**5 + 2*n**5 + 2*n**5.\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -32 (b) -1 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68442473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*g + 76*g + 23*g**5 - 38*g wrt g.\nAnswer: 460*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108923 divided by 86?\nAnswer: -108923\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.293631 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:50 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Let n = 0.4 - 0.3. Put b, n, -1\/2 in decreasing order.\nAnswer: b, n, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - 2*s - 17. Let l(u) be the second derivative of 2*u**5\/5 + 4*u**3\/3 + 34*u**2 + u - 845. What is -9*k(b) - 2*l(b)?\nAnswer: 2*b**3 + 2*b + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 59*a**3 - a**2\/2 - 130*a - 22. What is the first derivative of n(w) wrt w?\nAnswer: 354*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175999446037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 14*g + 11. Give x(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 45 (b) -1\/2 (c) -5 (d) 204 (e) -1\/4 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 5. Let b be z(0). Let l(o) = -o**3 + 2*o - 7*o - b*o**2 - o - 6. Calculate l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18242 = -9*m + 18215 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 299\/(-91) - (-2)\/7. Let x be (-2)\/o - 64\/60. Let l = -2 + 1. What is the biggest value in l, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(216)*-2)\/sqrt(12))\/((3*-1*sqrt(108))\/sqrt(12)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 715*f - 714.\nAnswer: -(f + 1)*(f + 714)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, r: 1, b: 2}. What is prob of sequence rb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*15\/24)\/(2\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 7. Suppose 0 = 2*c + 3*c + 4*f + 139, -4*f + 50 = -2*c. Let l = 16 + c. Let n be h(l). Let x(i) = i**2 + 5*i + 4. Determine x(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) 3 (b) -8 (c) 1\/10 (d) 0.5 (e) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 645, 1481, 2977, 5217, 8285?\nAnswer: 12265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-4\/11))\/l)**(-50)\/(l**(-3\/22)\/l*(l\/(l\/l**(-19)))\/l) assuming l is positive.\nAnswer: l**(65\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 2488 = -4*a, -78*s - 5*a + 1174 = -75*s. Determine u so that s*u + 963\/4*u**2 + 192 + 51\/2*u**3 + 3\/4*u**4 = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751066027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 534305318 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12882 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**4 - f**3*i + f**2*i - 3*f - 10*i wrt f?\nAnswer: -48*f**2 - 6*f*i + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h + 7 - 12)*(12 + 1203*h + 12 - 24).\nAnswer: 1203*h**2 - 6015*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-6)\/(-9)*486\/12. Let r be (-34)\/(-85)*70\/(-32). Let f = 3\/8 + r. Which is the third smallest value? (a) -1\/5 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**3 + 136*k**2 - 622*k - 13. Calculate g(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -88 (b) -26.5 (c) 0.06 (d) -0.3 (e) 2\/7 (f) -5\/4 (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o = 5*g - 10, o = g + 6. Suppose -4 + 6 = 2*m. Put g, -4, m in descending order.\nAnswer: m, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(2 + 3\/(2 + -3)). Suppose -g - 12*g - 13 = j. Calculate the remainder when ((-53)\/5)\/(g\/5) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352618042 plus -522.21?\nAnswer: -352618564.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*w**2 - 3*w**3 + 1296*w + 9 + 1300*w - w**3 + 2*w**3 - 2602*w to the form p*w**3 + y + m*w**2 + n*w and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 0 - 1\/3*y**3 + 0*y**2 - 10*y - 1\/3*y**4 + 0*y**5 + 1\/21*y**7 + 2\/15*y**6. Determine h so that u(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173064 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/11)*r*r)\/(r**(2\/3)\/r))\/(r**20*(r**(2\/27)\/r)\/r) assuming r is positive.\nAnswer: r**(-4756\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 10. Let v be r(4). Is 2 a factor of (v - 0)*(-10 + 0)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1 + 6*-2*sqrt(68) - (6*(sqrt(68) + 1) + -4))*3 + 3 + 2)**2.\nAnswer: -432*sqrt(17) + 198297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-350)\/(-280)*(-11)\/(220\/(-24)))\/((-708)\/(-16)).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2\/3 - (-10)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) + (sqrt(57) - (sqrt(5700) + sqrt(5700)*1)) + sqrt(57) - sqrt(57))\/(sqrt(576)\/sqrt(12)) - (sqrt(1539) + 2*sqrt(1539)*1 + -5 + 0))**2.\nAnswer: -315*sqrt(19) + 75511\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5312 equal to 5230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k + 12. Let g be 27\/63 - (-62)\/(-14). Let z be y(g). Let d(b) = b**2 - b - 2. Determine d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*p + 0*p**3 + 2\/7*p**4 - 2\/7*p**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-27) + 10\/45. Let f be v + 0 - (0 - 3). Suppose 4*i - f - 352 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 1 + 53. Suppose 0 = u*j - 6*j. Solve -2*k + 7 + 1 = j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t - 101 = 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/39? (a) -1\/9 (b) -1\/2 (c) -72291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210414026 to the power of 1\/3, to the nearest integer?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c - 24*c = 4. Factor p + 6 + p + 3*p - p - c*p**2.\nAnswer: -2*(p - 3)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 18902093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(3 - 1 + 0)*(2*u - 5*u - u).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 6. Let g(f) = -2*f + 10. Let m be g(7). What is t(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*f**2*i + 10100*f**2 + 1000*f*i - f - 3*i + 4 wrt i?\nAnswer: -7*f**2 + 1000*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6005 divided by -1201?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*x - 97454*b**3 + 5*b**2*x**2 + 55594*b + x**2 wrt b.\nAnswer: 6*b*x - 584724*b + 10*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35320, -70800, -106292, -141802, -177336?\nAnswer: -212900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -320*i**2\/11 - 322*i\/11 - 2\/11.\nAnswer: -2*(i + 1)*(160*i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 5. Let z be r(15). Suppose 0 = -2*j + z - 4. Solve -2*x - x + j = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/3 + 26972*p**3\/3 + 90855146*p**2\/3 - 181953112*p + 273051096 = 0. Calculate p.\nAnswer: -6746, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 48553?\nAnswer: 534083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824517092.\nAnswer: 2, 7, 277, 106307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 24\/14 + 0. Suppose -18 = -5*c - 8. Let k be (-1)\/6 + c\/(-4). What is the closest to j in k, 3\/8, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11809 + 8845. List the prime factors of i.\nAnswer: 2, 23, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t + 104*t - 1395504 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {u: 3, y: 2, w: 1, k: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7141789 (base 10) in base 2?\nAnswer: -11011001111100110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 3*c - 8. Let k(j) = -j**3 - 7*j**2 - 7*j + 1. Let w be k(-6). Let b be x(w). Suppose 0*q + b = 3*q. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -74*p + 4639. Determine v(63).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.04 - -0.04. Let t be 4\/(-3) - (-2)\/6. What is the third smallest value in 3\/5, j, t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1\/6, 47\/2, -2\/89, 4?\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/98)\/((-6)\/42)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1008)\/(-7392)*(4 - 0) - 339\/924?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -814, -1257, -1992, -3019?\n\"Answer: -146*p**2 - 5*p - 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 8*g**2 + 6*g + 8. What is the units digit of c(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*(-33)\/((-1254)\/608).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.031\nAnswer: -0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -i - 9, 0 = 2*r - r - 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 8*d + 16 as g*d + o and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 7. Let g(a) = r + 17*a - 8 - 3*a. Let c(y) = -5*y + 3. Suppose 20 - 168 = -37*d. Calculate d*g(l) + 11*c(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 29*o**2 - 305*o - 333.\nAnswer: (o - 9)*(o + 1)*(o + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22211 (base 3) to base 2\nAnswer: 11101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1463, 3, 0, -115 in increasing order.\nAnswer: -115, 0, 3, 1463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 7*f**2 - 6*f - 4. Let w be p(6). Let n be (-9)\/2*((-55)\/30 + 2). What is the third smallest value in n, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 198\/7, 2\/11, -1, -15, 3?\nAnswer: 198\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*j**3*r**2 - 397*j**3*r + 29*j**3 - j**2*r**2 - 12*j*r**2 - 3*r**2 + 5 wrt r.\nAnswer: 90*j**3 - 2*j**2 - 24*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -19335651.\nAnswer: 11\/19335651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 27*o - 78 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -549472 divided by -4\nAnswer: 137368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 22*q**2. Let w(k) = k - 1. Let o(x) = -x**2 - 5*x + 5. Let h = 22 + -32. Let r(l) = h*w(l) - 2*o(l). Determine z(r(v)).\nAnswer: 88*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1034440 - -3?\nAnswer: 1034443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8220*v - 2717*v - 2739*v - 2698*v.\nAnswer: 66*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6533428 + -7?\nAnswer: 6533421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96420777.\nAnswer: 3, 4099, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4096 - 65469\/16. Let f = 666638497\/5500 + -121207. Let r = 409777\/49500 + f. What is the common denominator of q and r?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5 = -a, 20*z - 30*a + 84 = -27*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 884247 from -1159.\nAnswer: -885406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198, 2, 9, 0, -5 in ascending order.\nAnswer: -198, -5, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14356507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7\/(-2) + 2 - (-3465)\/6 and 432.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-20))\/((u\/(u*u*u*(u\/u**8)\/u*u)*u*u*u)\/u*u) assuming u is positive.\nAnswer: u**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1198*i**3*x**2 + 177*i**3 + i*x + 1 wrt x?\nAnswer: 2396*i**3*x + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 + 5*q + 2 - q + 1 as p*q**4 + x*q**3 + f*q**2 + c + k*q and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 12*d - 11*d - 52, 5*d = -5*a + 305. Suppose 3*t = f + d, -f + 5*f = 2*t - 46. What is the remainder when 33 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 = 223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -467071 take away -55?\nAnswer: -467016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d - 2 = 0. What is the lowest common multiple of (d - 28)\/(6\/(-4)) and ((-12)\/7)\/((-10)\/70)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2085 + 2418 - 7*g**2 - 4503.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39818040?\nAnswer: 2, 3, 5, 389, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.016 times -387167?\nAnswer: 393361.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705968263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99.8 + 101.8. What is the second smallest value in k, -0.1, 89, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 12.4. Which is the fourth biggest value? (a) 8 (b) p (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*y**2 + 79016*b**3*y + 2*b**2*y**2 + 5971*b*y**2 wrt y.\nAnswer: -2*b**3 + 4*b**2 + 11942*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 11*d - 7. Let h be (-4)\/22 - (-464)\/11. Suppose 6 = 3*y, -y = q + 4*q - h. Calculate the remainder when f(q) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-1 + -4 + 17 - 3). Solve 5*v = v - 20, -4*o + j = -v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (12 - (-1810)\/(-90)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9645089 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 17*o - 1. Let i be 12\/9*6\/2. Suppose i*d = -4, 0*j + 9 = 4*j - 5*d. Is h(j) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45676, -93623, -141570, -189517, -237464, -285411?\n\"Answer: -47947*j + 2271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -14 + 52 - (-18 - -9 - (1 - 7))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + sqrt(304) + 0)**2*-3 + sqrt(1539)*-2 + sqrt(38)\/sqrt(2)*-2.\nAnswer: -3648 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/3*t + 22 + 2\/3*t**2.\nAnswer: 2*(t + 3)*(t + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*l, -2*l + 7*l + 4*w = 9. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 = 2*h + 14, -5*h = 2*f + 3. Let a be ((-1)\/f)\/((-27)\/(-432)). Solve -5*x = -a + 29 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2576*-0.4.\nAnswer: -1030.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 34.2 and 1965.\nAnswer: 1999.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 + 168 + -170 - -152.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 + 10*d + 24. Give n(4).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121837682?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633752122?\nAnswer: 2, 316876061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5 = -15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (37\/6 - (-24)\/(-36)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3228*w - 2 - 3295*w + 27*w**2 + 6410*w as f*w + j*w**2 + y and give f.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1356 and 671559.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5766369?\nAnswer: 3, 7, 39227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 9 = -c. Find the first derivative of -i**c + 1 - 2 + 2*i**3 wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -244, -4, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9094498 * 5\nAnswer: 45472490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2885 and -10.9837.\nAnswer: -31687.9745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15685 + -15675. Solve -s*k + 1 + 69 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -92577*m + 92582*m + 20*r, 5*m - 3*r + 44 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-154)\/7)\/66)\/((-1)\/(-30))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t + 6*t**2 + t + 2*t + 4 + 2*t. Let r(u) = -7*u**2 - 5. Determine 6*a(y) + 5*r(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001287741579 to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(500) + sqrt(500) + 0 + 1 - (-1 + sqrt(500) + -4) - (-5*-1*sqrt(500) + -4)))**2 + 1.\nAnswer: -24299 + 2400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25985 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 6. Suppose -7*a + p = 63. Does 20 divide a\/(-6) - 237\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, f: 1, c: 2, d: 1, o: 2}. What is prob of sequence cfz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -896623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1001420 and -163\/468.\nAnswer: 117166140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/21 - ((-12)\/(-14))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1170, -1177, -1184, -1191, -1198, -1205?\n\"Answer: -7*s - 1163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 54.57 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 135 = -5*t, 2*t + 2*t + 62*r = 12*r - 68*r + 1278 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -655*f**4 - 11592*f**3 + 2*f**2 - 10718569*f + 6 wrt f.\nAnswer: -7860*f**2 - 69552*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1355822.\nAnswer: -4067466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-24 - -20) + (2 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*p - 759 + 368 + 375)*(2 + p - 2 + (-3*p + 0*p + 2*p)*(2 + 0 + 3)) to i*p + k + u*p**2 and give i.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -153 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/5, -0.5, -201.18, -3, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34 + 6*r - 34)*(483 - 168 - 84) to the form i*r + b and give i.\nAnswer: 1386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 261341685 a multiple of 1245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27249?\nAnswer: 3, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**5\/3 + 332*d**4 - 27216*d**3 + 705600*d**2 + 2370816*d.\nAnswer: -4*d*(d - 84)**3*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10042 (base 6) to base 7.\nAnswer: -3566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1217 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3979033.\nAnswer: 617, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -572.7564645 rounded to 1 decimal place?\nAnswer: -572.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 822 a factor of 972282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834883?\nAnswer: 7, 41, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 1\/60*i**6 + 0*i**3 + 0*i**5 + i**2 + 0 + 2\/105*i**7 + 0*i + 1\/168*i**8 + 0*i**4. Determine v so that q(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 18292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 79*y + 19. Does 58 divide a(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, -2681, 2, 5, -1 in ascending order.\nAnswer: -2681, -105, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-690099)\/(-95)*30\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007185 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 1, x: 1}. What is prob of picking 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8881 + -47647. What is the units digit of 6\/(-57) - (g\/57 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -9*c + 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/4 - c**4 + c**3\/4 + 7*c**2\/2 - 5*c + 2 = 0. Calculate c.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/408 and 0\/1 + ((-18)\/(-144) - 93\/(-1224)).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, -26, -77, -182, -359, -626, -1001?\n\"Answer: -3*b**3 + 6*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/11*l**2 - 2\/11*l.\nAnswer: -l*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.08609 and -2.9?\nAnswer: 2.81391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13684, 27237, 40662, 53959, 67128, 80169?\nAnswer: 93082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 12*d - 73. Calculate g(11).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240*c**2 - 620*c**5 - 109*c**2 + 56*c**2 + 176*c**5 wrt c?\nAnswer: -26640*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -28 (b) 2\/17 (c) -1\/971 (d) 24 (e) -0.5 (f) 2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 40 = 12*y - 29*y - 5*g, 59*y - 64*y = -4*g - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -42, -87, -152, -243?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 50*m + 20*m - 22*m + 77. What is the hundreds digit of g(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0265227 to three decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2476 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 32*g**2 - 2*g - 2. Let k be t(-2). Let w = -68 + k. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 18 - 2, 5*p = 15*u - 18*u - 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -13100222?\nAnswer: 13100223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -5*i - 10, -5*o = 5*i - 8*o + 30 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.09?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + z + 17. What is x(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1561 is divided by 2\/(-4) - 3572\/376 - -309?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 2 (c) -3\/2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 > -236\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-13 - -11) + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 31 = -3*n - n, 4*n + 3*m - 35 = 0. Suppose -5*y = -3*y + n. Is 20 a factor of 47\/(-2)*(2 + y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2539\/2 - 1241. Calculate the common denominator of c and 47\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 3 + 0 - 5*u**2)*(-14*u**2 - 7*u**2 - 5*u**2).\nAnswer: 52*u**4 - 78*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11002002201220 (base 3) to base 8.\nAnswer: -10210525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*v - 16*v**4 + 14 - 3*v - 14 wrt v?\nAnswer: -192*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -6 (c) 0.2 (d) -3\/13 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 7) to base 14.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.2. Let w = 17\/33 - 2\/11. Which is the nearest to v? (a) 7 (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 4\/5*j - 2\/15*j**3 - 135 + 1\/5*j**2. Determine t, given that a(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65090789957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25200 divided by 39.\nAnswer: 8400\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 395568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -6 - (-1 - 0)) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7 = 2. Suppose -2 = -l*i + 2*i. Suppose -i = 5*k + 3*y, -y + 3 = -4*k - 2*y. Sort 5, -5, k.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -10*s. Determine u(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65203\/13 + 5011. Is -6 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69992.16 centuries?\nAnswer: 83990592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t - 3 + 2*t**2 + 3*t**2 + t - t**3. Let o be k(6). Let p be 8\/o*(-6)\/(-4). Solve p*d - 5*d = -3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235824+33795524\nAnswer: 33559700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, c: 3}. What is prob of sequence chch?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4554 and 13910446?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, n: 12}. What is prob of picking 1 u and 3 n?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 6141?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60171053 divided by -595753.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = i - 134, -3*i + 324 = -m - 117. Let a = i + -47. Calculate the remainder when a is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 27*s = 638. What is the lowest common multiple of s and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 629\/500 - 1\/125. Which is greater: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -145. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.5 + -0.5. Let p = f - 6. Which is the smallest value? (a) p (b) 3\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -8. Let f(w) = -w**3 + 9*w**2 + 11*w - 8. Let n(y) = 2*y + 4. Let r be n(3). Calculate the smallest common multiple of f(r) and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrllrrrrrr. What is prob of picking 3 r?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by 4.\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 46*m**2 + 4*m - 8. Let w be s(-3). Suppose 4*o = -w + 98. Let u = 843 + o. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d - 5*d)*(2*d + 0*d - 4*d)*(d + 0 + 0) + 4 - 3*d**3 - 4.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-240)\/(-30)*2\/20. Let k be ((-663)\/(-21) - -3)*-2. Let z = -69 - k. What is the second biggest value in m, z, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154155873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1248\/320*(-4)\/3)\/(2\/(-5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-2)\/20))\/((-8)\/(-8))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -370, -732, -1088, -1438, -1782?\n\"Answer: 3*o**2 - 371*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:21 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m = 17*m + 2976. Calculate the greatest common divisor of m and 837.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 6:26 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004625838 rounded to 6 dps?\nAnswer: 0.000463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**3*t**3*u + 2*m**3 - 11*m**2*t**2 + 3*m**2*t*u + m + 611*t**3*u - 5*t**2 wrt t.\nAnswer: -18*m**3*u + 3666*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i - 5*b + 223, 3*i = b + 172. Let o(f) = i - 57 + f**2 - 26*f. Let m(r) = -r + 3*r - 3*r. Calculate o(m(z)).\nAnswer: z**2 + 26*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43783910911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268194 by 6.\nAnswer: -44699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 829*u + 383*u**2 - 414*u - 415*u as j + h*u**2 + z*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, v: 2, y: 6, o: 2, b: 1, z: 6}. What is prob of picking 2 z and 2 y?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 33 = -0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1631 + -1315. Sort 5, b, -5 in ascending order.\nAnswer: -5, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**20*j*j)**(-19)*(j*j**(17\/3))\/(j\/(j*j**(-24))) assuming j is positive.\nAnswer: j**(-1306\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = -5*o + 421. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by 37963.\nAnswer: -105\/37963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -2 (c) 1\/5 (d) 3\/7 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -8056\/1801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.74 + 0.84. Let g = 0.8 + -5.8. Which is the biggest value? (a) g (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -605*i - 1655*i + 19910 - 56070 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 38*h - 15. Is c(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 19*t + 85. Determine r(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 11:55 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17375505659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 837075 - 837083 = -4*r. Let p = -1 - -2. What is the closest to 4 in r, p, -5, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 66. Suppose 2*c + t = 56. Suppose 6*w - w = c. What is the remainder when w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*b**2 + 35*b**2 - 43*b**2 - 5 - 44*b**2 + 214*b**2 to the form p*b + c + r*b**2 and give r.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7974?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168922599?\nAnswer: 3, 56307533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -33464, 17\/5 in increasing order.\nAnswer: -33464, 2\/5, 17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i*i*i**19*i)*i)\/(i*i**(-3\/11))*(i*((i\/(i**(1\/5)*i)*i)\/i)\/i*i)**(-36) assuming i is positive.\nAnswer: i**(-2724\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 13*n**3\/3 + n**2\/2 - n + 3. Suppose 2*j - 152 = -2*j. What is the remainder when j is divided by s(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 + 73. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 593768 divided by -74221\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3639000 to the nearest 100000.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91\/3 - 30. Let y = 0.873 - 0.373. Which is the nearest to m? (a) 2\/3 (b) 36 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {y: 1, c: 12, v: 5}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010513 rounded to six decimal places?\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*f + 279*f + 270*f)*(3 + 3*f - 3).\nAnswer: 1470*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -0.438874932?\nAnswer: 0.138874932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 1:43 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(17) + (sqrt(17) - sqrt(153)\/(sqrt(18)\/sqrt(2))))**2 + (sqrt(68) - sqrt(68)*1)**2 + 5 + 3*(sqrt(1088) + (0 + sqrt(1088))**2).\nAnswer: 24*sqrt(17) + 3291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17501 and 9546.\nAnswer: 105006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, -115, -471, -953, -1561, -2295?\nAnswer: -3155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, z: 1, l: 3, v: 1, h: 1}. Give prob of picking 1 v and 2 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 1 + 0*f**3 + 2*f**4 + 9*f**2 - 12*f**2 to the form w*f**4 + h*f + i + t*f**3 + u*f**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 264*t - 5248.\nAnswer: 4*(t - 16)*(t + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.75 - 22.75. What is the nearest to -3 in 1, v, -0.2, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxnnnnnsxn. Give prob of sequence nsn.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 at most -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 5 - (1 - -2)) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 10 - a**2 + 10 + 5*a to t + m*a + z*a**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 58237, 58239, 58243, 58249, 58257?\n\"Answer: t**2 - t + 58237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = 15*j - 41*j - 176. Suppose -5*o - 46 = 34. Sort 1, -3, o, j in ascending order.\nAnswer: o, j, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -0.03, 1172\/5, 2.8, 2 in increasing order.\nAnswer: -1\/9, -0.03, 2, 2.8, 1172\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((4 - 1) + 0)\/1. Suppose -5*r = -4 - 1, y*k = -r - 11. Let h = -23\/5 - k. What is the third biggest value in 0.6, -5, 2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433655797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 43*q - 42*q + 4 - 14 - 4.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:10 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4 = 2*f, -2*k = -3*f - k + 6. Suppose 0 = 6*t - f*t - 20. Put 3, -3, t in decreasing order.\nAnswer: t, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1568020402 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 7*q - 9. Let f be l(-8). Let w be 7\/4 + f\/(-4). Let n(i) = -i**2 + 2*i - 3. Give n(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -52*q**3 + q + 6. What is the tens digit of g(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -5201103?\nAnswer: 13\/5201103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 12:48 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26687 is divided by 13327.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/12 + o**3\/3 + 39*o**2\/2 - 2*o - 52. Calculate v(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 56349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 1 f when three letters picked without replacement from {f: 7, l: 2, k: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214842*d + 346 = -214850*d + 106 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3 + 624*g**2 - 56790*g + 1266408 = 0.\nAnswer: 33, 123, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k*m**4 - 325083*k*m**2 - 4*k - 16622 wrt m.\nAnswer: -8*k*m**3 - 650166*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6) + 68\/12. Suppose -j = 2*a + 3*a. Let v(s) = -1 - 2*s**2 + 2 + 6*s**2 + s. Give v(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 + 70*l**2 + 200*l + 55. What is z(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.262.\nAnswer: -0.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10020323122 - 0?\nAnswer: 10020323122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 28535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -496523, -3971988, -13405385, -31775678, -62061831, -107242808?\n\"Answer: -496494*t**3 - 2*t**2 - t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71*p**2 - 103*p**2 + p**3 + 191*p**2)*(0 - 2*p + 0) to the form w + n*p**2 + q*p**3 + o*p**4 + s*p and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -440\/7 - -8807\/140. Let l(t) be the second derivative of 0*t**2 + 1\/6*t**3 + t - 1\/6*t**4 - q*t**5 + 0. Calculate l(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 7*o - 2. What is z(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -265\/6 - -44. Let t = 502 - 1071\/2. Find the common denominator of t and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 43. Let y(o) = 645*o + 3. What is n(y(s))?\nAnswer: 645*s - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 398834394?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57318393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h - h)*(-1 + 17 - 3) + h - h + h + 5*h + 0*h - 4*h + (-3*h + h + 3*h)*(-4 + 0 + 5) - 3*h + h + 0*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**3 - 7*z**2 - 19*z + 7. Let q(p) = -2*p**3 + 3*p**2 + 10*p - 3. What is -3*l(a) - 7*q(a)?\nAnswer: -a**3 - 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*z - 3*f = -161*z - 64, -41*z + f - 63 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k**5 - k**4 - 60*k**2 - 48*k - 11?\nAnswer: -80*k**3 - 12*k**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69*t**2 + t - 6287 wrt t.\nAnswer: 138*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 187*i*r**2 + 2*i*r - i - 3 wrt r.\nAnswer: 374*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*((z\/((z*z*z**(-3\/2)*z*z)\/z)*z)\/z*z)\/z*z**(-20) assuming z is positive.\nAnswer: z**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -42*b + 762. Let u be q(18). Solve s = -u*s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 1089.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3267) + 1.\nAnswer: 1 + 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2792, 5582, 8372, 11162, 13952, 16742?\nAnswer: 19532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 4*h**3 - 4*h**3)*(-78 + 78 + 14*h) + 9 - 11*h**4 - 9.\nAnswer: -67*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*f**4*q - f**4 - 18901*f*q + 2190616*q with respect to f.\nAnswer: 184*f**3*q - 4*f**3 - 18901*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 78. Let x = -340 + 343. Solve -x*a + 10 = i*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 794735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1067, 1318, 1569, 1820?\n\"Answer: 251*v + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -25*x + 14. Let p(w) = -9*w + 5. Let b(g) = -11*p(g) + 4*u(g). Let v(m) = 2*m**2 + 5*m - 5. Calculate -15*b(s) - 3*v(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/10)\/((2 + 1)\/90). Let l = s + -21. Find d such that -d**5 + 13*d**2 + d + 2*d**4 - l*d**2 + 0*d**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/27897 and -41\/24?\nAnswer: 223176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 3*g + 1. Let u be n(-2). Suppose 0 = -u*y - 6 + 66. Solve 0*j = -5*j + y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 6:05 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*l + 4*l**3 - 5*l**4 - l**2 - 116*l + 37*l + 37*l in the form r*l**4 + g*l**3 + f*l + s*l**2 + u and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87.1 - -89. Let u = r - 2.06. Round u to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4670943.\nAnswer: 3, 29, 53, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 - 11 - 4\/(7\/(-7) - -10). Let q = -5.5 + 2.5. Which is the nearest to 2\/7? (a) -0.03 (b) t (c) 0.4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -249717 and -2843.\nAnswer: 709945431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2, 3*l - 1 = -v + 6*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**4\/4 + o**3 + 27*o**2\/2 + 3*o - 6. Let m be l(-4). Solve 0 = m*r + 6 + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttxtxxttxxtttxxxxt. What is prob of picking 4 t?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 181974812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 304996 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3\/2)*i)\/i)\/i*i**1)\/(i*i**(-7)*i*(i*i*i*i**(-6\/7))\/i*i) assuming i is positive.\nAnswer: i**(19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 162696094 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12725104 less than -3775796?\nAnswer: -16500900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -17. Let f(p) be the third derivative of -p**4\/24 + 8*p**3\/3 - p**2. What is the remainder when 47 is divided by f(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59364 divided by -1649?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2*s**3 + 5201426*b**2 - 942805*b*s**3 wrt s.\nAnswer: 6*b**2*s**2 - 2828415*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 3\/8 (c) -0.16 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2052\/2090 + 4\/(-5). Suppose 5*t - 4*p = 26, 3*t - 6 = -4*p + 16. Which is the biggest value? (a) 0.2 (b) t (c) -4\/3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.4 - 18.3. What is the nearest to 2\/7 in 5, u, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*44\/6 + (-10)\/(-15). What is the remainder when 4 + 153\/(-36) - (-202)\/z is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13435270 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**4\/4 - 2*w**3 + 7*w**2\/2 + 481. Let c be (-5)\/(-2)*4\/2. Is g(c) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634519071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18661402.28 + 18661900.28000048. Let z = 498 - d. Round z to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -25*a + 116238. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4452132.\nAnswer: 2, 3, 577, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 1153?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(33 - 96 - 31)*(-3*w - w - w - 3*w - 2*w + 4*w + (4 - 4 - 2*w)*(-2 + 1 - 1)).\nAnswer: -376*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 637 or 0.1?\nAnswer: 637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7638080.\nAnswer: 2, 5, 23869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5103 and 31257.\nAnswer: 17722719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5752 and 164651?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iprp when four letters picked without replacement from cpprpnprpprppipcccrr.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 123, 124, 133, 156, 199?\n\"Answer: k**3 - 2*k**2 + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 969436.7 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91.22546 + -3520.63362. Let k = h - -3612. Let p = -0.141 + k. Round p to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 1. Let r be o(2). Let b = 1 - -1. Let c(k) = -4*k + b + 4*k**2 + 2*k**3 - k**3 + 3. Give c(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 - 96.000000453. What is m rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1313163 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2940)\/75)\/(2219\/(-7925)).\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -12*v**2 + 2. Let a(w) = -49*w**2 + 9. Let s(m) = -2*a(m) + 9*n(m). Let o(h) = -9527*h**2 - 9531*h**2 + 19061*h**2. Determine o(s(f)).\nAnswer: 300*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*x - 12071 = 0, -14765 = 3*f - 5*x + 3334. Round f to the nearest one hundred.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, g: 2}. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.30938 seconds?\nAnswer: 9309.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14584\/15 - -2720\/3. Let d = 66 + g. Let p = -3 - -2.8. Which is the third biggest value? (a) 2 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532*n - 56167 + 56167.\nAnswer: 532*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + -4*(sqrt(343) - (sqrt(343) + -1 + sqrt(343))))**2.\nAnswer: -336*sqrt(7) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1695529331091 + 1695530118041.7899962. Let n = -786951 + w. Let j = n - -0.21. What is j rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q - 50 + 82*q**2 - 41*q**2 + 14 - 45*q**2 to the form p*q**2 + j + g*q and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6338 - 6297. Suppose -21 = -2*h + 3*d + 75, 4*d = h - 58. Let k = j - h. Let t(o) = o**2 - 2*o + 3. Let f(n) = n - 1. Determine k*t(w) - 5*f(w).\nAnswer: -w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274323562?\nAnswer: 2, 1693, 81017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 13\/(-4) - 48\/(-192)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 564 + -588. Let t = -0.1 - 0.1. What is the third smallest value in w, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6799940?\nAnswer: 2, 5, 7, 48571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(68) - (sqrt(68) + -2))*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 5579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 14*k**2 - 130*k + 400.\nAnswer: -(k - 10)**2*(k - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z + 14. Let b = 79 - z. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 112, 156, 196, 232, 264, 292?\n\"Answer: -2*i**2 + 50*i + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 1271?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 2821828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -1893.\nAnswer: -1892.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35132 (base 6) in base 8?\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 187920234 to the power of 1\/2, to the nearest integer?\nAnswer: 13708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2704 + 2717. Suppose 11 = 2*i - i. Calculate the lowest common multiple of i and v.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71.4 - -74.4. Let o = -101 - 20. Let v be (-1)\/(-2)*44\/o. What is the smallest value in 1, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -63456?\nAnswer: 63451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2109 + ((-12)\/(-3))\/(-1). Let u = r - 1434. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - 22 - (2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g**4 - 70228*g**3 - 62669268*g**2 - 1783083452*g - 703210792 = 0. Calculate g.\nAnswer: -1741, -29, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + 13. What are the prime factors of o*((11 - 3) + -5)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 41*g - 352. Let t be v(9). What is the smallest common multiple of 11914\/119 + (-2)\/t and 15?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14272.858 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 37 = -4*y. Let i = y - 8. Solve -2*o = 3*s - i, 0*s + s - 4*o - 11 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**2*x**2 - 20*k**2 + 335*k*x**3 - 4*k with respect to x.\nAnswer: -6*k**2*x + 1005*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -6*y. What is the common denominator of (y\/(-51))\/((-30)\/1665) and -29*1*(-1)\/(-11)?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -7, 17, 1\/4, -3 in ascending order.\nAnswer: -7, -3, 1\/4, 1\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**3*x + 1080195*k**2*x - 4292*x + 80 wrt k?\nAnswer: -6*k**2*x + 2160390*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -226.397 - -0.397. Let m = 275.5 + t. Let x = m - 49. Which is the second smallest value? (a) x (b) 0.03 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (0 - 20 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 630133\/250 + 496\/125. Let u = 2573 - w. Suppose 2*c - 5*g + 180 = -3*c, 2*g + 123 = -3*c. Calculate the common denominator of c and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772*d + 15 - 742*d - 775*d - 756*d + 3079*d.\nAnswer: 34*d + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 796.4 * -0.01\nAnswer: -7.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vnvdvvn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -8*x + 102. What is the remainder when 253 is divided by x?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37794 - 6551943.531.\nAnswer: -6514149.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -19\/780*r**6 - 1\/2184*r**8 + 0*r + 0 - 4\/39*r**3 - 1\/195*r**7 - 5\/78*r**5 - 4\/39*r**4 + 9*r**2. Let n(m) = 0. What is m?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 2. Let z = -1.8 - u. Which is the nearest to 2? (a) z (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1776, 7111, 15994, 28419, 44380, 63871?\nAnswer: 86886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-3) - -1)*54. Find the common denominator of 59\/8 and (v\/3)\/((-60)\/(-39)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30\/13 + -47\/26. Suppose -9 = 10*f - 59. Put m, 2\/7, f in decreasing order.\nAnswer: f, m, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/8)\/((z**(-6)\/z)\/z)*(z*(z\/z**(-1\/25))\/z*z)\/((z\/(z\/z**(2\/15)))\/z) assuming z is positive.\nAnswer: z**(6769\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -254, 4, -2 in descending order.\nAnswer: 4, -2, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 0) + (-12)\/10. What is the nearest to 1 in y, -4, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4990 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (7 + 4)) + (1 - 11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2701.8711 months in decades?\nAnswer: 22.5155925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-255) + (-16)\/(-425)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6920.85 plus -0.156?\nAnswer: 6920.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-12 - -2)) + -4 + 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*j**3*n**2 - 9*i*j**3*n + 2*i*j*n**4 - 5*j**3*n**3 - 2*n**4 + n**2 wrt n.\nAnswer: 48*i*j*n - 30*j**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from {t: 6, a: 1, k: 7, j: 5}?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaavavaaava. What is prob of picking 2 v?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a week in hours?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**3 - 9*s + 9*s + (-3 - 3 + 5)*(-2*s**2 + s**3 + 2*s**2) to x*s + b + h*s**3 + q*s**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffw when three letters picked without replacement from zzfqfdqdqwzhfwq.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmokqmooomkomkq. What is prob of picking 2 q and 1 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujqe when four letters picked without replacement from {j: 2, o: 4, e: 1, u: 3, x: 3, q: 6}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(1*(-1 - 0)). Is y at most as big as -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51664 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -998, -997, -996, -995?\n\"Answer: g - 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 4)*(15*d**2 - d - 15*d**2 + 4*d**4) in the form b*d**2 + o*d + y*d**3 + i*d**4 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3531 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/19 - 1412530*l**2\/19 - 2825052*l\/19.\nAnswer: -2*l*(l + 2)*(l + 706263)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from {a: 1, b: 1, g: 4, p: 1, j: 1, f: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147 - -149. Solve 3*p - w - 9 = -4, -3 = -u*p + w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*q - 439825 - 141995. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from balzzmmf. Give prob of picking 1 a and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -335*c + 92. Is n(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 10*c**2 - 3*c - 5 + 1 + 4*c to the form b*c + h*c**2 + y and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -170767\/780 - -2615\/12. Let i = h - 5651\/260. Find the common denominator of 91\/12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/14212 and -47\/8?\nAnswer: 28424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147130 is divided by 16339.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.05 (b) -45\/2 (c) -0.76 (d) 0.2 (e) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 3.9, -4\/5, -3, -6, 21\/2?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 32, 27, 0.2?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07027559 rounded to four dps?\nAnswer: -0.0703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -534 by -229.\nAnswer: 534\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -24bf?\nAnswer: 24b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -87*c - 1303?\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2740054mg in grams?\nAnswer: 0.0002740054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -12*f - 26. Let i be z(-3). Suppose 0 = i*x - 6*x - 24. Let w = -13 - -29. Solve 5*p - 15 = x*k - k, -4*k + w = 3*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-5)\/(-35) - 0). Which is the biggest value? (a) 2 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174.51 - -376131207.6.\nAnswer: 376131033.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 - 5) + 29 + (-3 - -2). Suppose -t + 31 = -d. Let q be (-6 + 8)\/((-2)\/(-6)). Solve 2*i = -m, -q*m + m + 4*i + 28 = d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) 0.1 (b) 3 (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 2*a**2 - 2*a**2)*(2*a**2 - 5*a**2 + 4*a**2) - 483*a**3 + 6*a**2 + 483*a**3 + 3*a**4.\nAnswer: 2*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 15?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 12 = 216*a - 213*a, 0 = -5*w - 4*a - 46 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 4287.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 4752 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/17)\/(((-10494)\/901)\/66) + 325\/3.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9435000 to the nearest 100000.\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h + 18*h - 10*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4235, 4238, 4243, 4250, 4259, 4270, 4283?\n\"Answer: a**2 + 4234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v**2 - 2*v**2 + 7*v**2 + v. Let x be d(1). Calculate the remainder when 9 is divided by (x\/(-2))\/(-6 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*w**3 + 798073718*w - 798073718*w.\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**3 + 3*d**2 - 2*d - 3. Let u be q(-3). Suppose -141 = -4*s + u. Calculate the greatest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/879 and 16 - (416\/507 + 15).\nAnswer: 11427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -246, -303?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.34 - 0.06. Let x = -1884.5 + 1885. Which is the fourth smallest value? (a) r (b) x (c) -4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k + 195 = 0. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 + -0.1. Let j = -14 - -67\/5. Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31077 - -31076.9974217. What is r rounded to five decimal places?\nAnswer: -0.00258","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 - (70 - (-15 + 206))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3.8 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110\/21 equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 870239135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 3*f - 4*n, 8*n - 58 = 13*n - 7*n - 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -165, -200, -235?\n\"Answer: -35*v - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -249, -245, -241, -237, -233?\n\"Answer: 4*u - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/15 + 1206832*y\/15 - 182055434528\/15.\nAnswer: -2*(y - 301708)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**4\/12 - 21*q**2. Let v(j) = 2*j**2 - 2. Calculate v(g(p)).\nAnswer: 8*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 1485 = 867. Suppose 0 = c - 2*c. Suppose c*k + 4*k = i. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/6 and -125\/972?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264719 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/f**(-4)))\/(f\/(f*f\/f**4))*(f\/(f**(-1)*f))**34 assuming f is positive.\nAnswer: f**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 158 - 24 - 604*q**2 + 306*q**2 + 300*q**2 + 47*q. What is l(-20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29, -16, 39, 136, 275, 456, 679?\n\"Answer: 21*q**2 - 50*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-231)\/(-44))\/(6\/64) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0, 4, 1, -2, -4, 470 in increasing order.\nAnswer: -11, -4, -2, 0, 1, 4, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1452)\/(-1540) + (-36)\/45?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*g - 5*s, -g + 38 = 4*g + 4*s. Let t(p) = 9*p**2 - 9*p + 6. Is 102 a factor of t(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: bd72 (base 16) to base 6\nAnswer: 1012310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/1133529 and 35\/24.\nAnswer: 9068232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, g: 10}. Give prob of sequence ogo.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**3 + 1840520*f**2 = 0?\nAnswer: 0, 368104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/8, 0.2, -0.05, 0, 3, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1320*a**2 - 1320*a**2 - 70*a**4)*(2*a - a + 2*a) + (-2*a**2 + 2*a**2 - 2*a**5)*(-1 - 2 + 2) - a**4 - a**5 + a**4.\nAnswer: -209*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1029 + 873. What is the second biggest value in x, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 2934?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzznznzznzzz. Give prob of picking 3 n.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41\/2 of a kilogram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q. Let c be (-7)\/(-28) + (-11)\/(-4). Let m(w) be the first derivative of 2*w**2 - w**2 - 5 + c. What is j(m(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 - (35 - 37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 406 + -396. Calculate the least common multiple of h and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*q - 120. Let b be (-48)\/195 - 12\/q. Let b*s**2 + 0*s - 2\/13 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 6:12 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 19. Let j(i) be the first derivative of -3*i**2\/2 - 285. Give y(j(m)).\nAnswer: -3*m - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwb when four letters picked without replacement from {w: 7, b: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-754)\/(-116))\/((-2)\/4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - -5. Let y = 19 - q. Suppose -y*o + 6 = -3, -v + 41 = -o. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -2\/81 (c) 1\/9 (d) 6 (e) -1\/2 (f) -5 (g) 5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.712453ml in litres?\nAnswer: 0.004712453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 4*y**2 + 2*y - 6. Let l be j(4). Let o(p) = -2*p**2 + 5*p**l - 7*p**2. Let c(x) = -24*x. Determine c(o(n)).\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o = -15*o - 344 for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 6 = -i, 3*o = 2*i + 3. Let q be (0 + 1)\/(-1) + o. Suppose -3*g + 3*k + 18 = -q*g, 3*k + 36 = 4*g. Is g at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8135 divided by -6.\nAnswer: -8135\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41026822?\nAnswer: 2, 29, 707359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**5\/2 + 7*f**4\/3 - 10*f**2 + 2. What is the second derivative of x(b) wrt b?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/(-165) - 387\/(-3915). What is the nearest to 0 in -1, r, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 6*j + 10*j + 5*j)*(2*j**3 + 2*j**2 - 2*j**2).\nAnswer: 48*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*c**2*u*y**4 + 300*c**2*u*y + c*u*y**4 + c*u*y**2 - 24*c*y**2 wrt y?\nAnswer: -1608*c**2*u*y + 24*c*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d + 25. Let k be q(-1). Suppose 3*c - 22 - 31 = -5*n, -3*c + k = n. Is -17 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 4047677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 33*r**3 - 418*r. Let x(d) = 2*d**2. What is p(x(c))?\nAnswer: 396*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -90*h**2 - h. Let x(v) = 2*v. What is q(x(s))?\nAnswer: -360*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (610 + 378 - 216)*(z - 2*z**4 - z) to the form v*z**4 + b*z**2 + q*z + m*z**3 + r and give v.\nAnswer: -1544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -293318, -293336, -293356, -293378, -293402, -293428?\n\"Answer: -l**2 - 15*l - 293302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 15 + 2*i - 5 - 10. Let o(g) = g**2 + 2*g. Let q(u) = 11*u**2 + 12*u. Let c(y) = 6*o(y) - q(y). Give c(r(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1.9. Let j(o) = -o**3 + 7*o**2 - 40*o + 283. Let s be j(7). Let x = 13\/10 - 4\/5. Which is the fourth smallest value? (a) s (b) x (c) 2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2985*-0.01\nAnswer: -29.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6386580.\nAnswer: 2, 3, 5, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/(-9) - 28\/126. Let q(z) = 6*z - 1. Let h(s) = -5*s + 1. Determine w*h(v) + 3*q(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.557.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 61*t**3 - 12*t**2 + 12*t + 5. Let s(u) = -u**3 + 2*u**2 - 2*u - 1. Let j(z) = 6*s(z) + w(z). Calculate j(-1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 29 = -4*c + 3, 4*j + 4*c + 3*c + 3*c - 116 = 0 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -1 (c) -2\/9 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69\/4, 0, -2\/77, 2, 5 in increasing order.\nAnswer: -2\/77, 0, 2, 5, 69\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (-1 + sqrt(72))**2 - (sqrt(16)\/sqrt(32) + sqrt(24)\/(sqrt(36)\/sqrt(3)))).\nAnswer: -438 + 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - 154\/(-8))\/(45\/480)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 5, g: 8}. Give prob of sequence gz.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.3, -67\/305?\nAnswer: -67\/305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25\/2? (a) 1\/6 (b) 0.3 (c) -4 (d) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 3\/11, 0.3, 2, -1?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*(-1 + 1). Suppose 0 = -0*h + h - 5*d - 25, -2*h + d + 14 = z. Suppose 0 = 7*n + 7*n - 70. Are h and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {f: 8, n: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -1. Suppose -256*x + 4 = -254*x. What is the fourth biggest value in w, x, -0.9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -41. What is the nearest to -1\/4 in -1\/9, 3, z?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 2841*k**3 + 5 + 2838*k**3 + 4.\nAnswer: -3*k**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50353 is divided by 1026.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1442, -1435, -1428?\nAnswer: -1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1777 - 372. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128689951*p**2 + 120824292*p wrt p?\nAnswer: 257379902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(4\/13)*h*h**(-43)\/h*h assuming h is positive.\nAnswer: h**(-537\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -86*p**2 + 31*p**2 + 27*p**2 + 30*p**2. Let k(h) be the second derivative of -41*h**4\/12 - h. Calculate w(k(x)).\nAnswer: 3362*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y + 1. Suppose 0*d - 5*d + y = 0. Calculate the highest common factor of 2 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -45*g + 49. Calculate a(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.828749 nanograms to milligrams.\nAnswer: 0.000007828749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 12\/8 - 132003\/6. Round m to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 26. Suppose 0 = 4*m - 5*m + 3*y + 12, 0 = m + 5*y - i. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3813799*r**3 - 2119567*r**3 + 2236030*r**3.\nAnswer: 3930262*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -155\/4 (b) -5\/4 (c) -18687\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let g(r) = -67*r. Determine v(g(c)).\nAnswer: -67*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 8*f + 21 - 18 = 37 + 21, f + 63 = 5*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7554606 + -2?\nAnswer: 7554604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-8)\/(-3))\/(132\/(-33))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-88)*6\/(-45)*10\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2, 5*d + 2*s = 20 - 6. Find the common denominator of d and -7\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1452, 5810, 13076, 23250?\n\"Answer: 1454*i**2 - 4*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/3671535 and 16\/754425.\nAnswer: 55073025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 2*w + 3*w + 0*w + 5*w - 3*w + (-4 + 2 + 0)*(146*w + 131*w - 147*w))*(5*w + 3*w**2 - 5*w) to the form f + c*w + y*w**2 + n*w**3 and give n.\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 3, u: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 8*z - 2. Suppose 5*a - 42 = 4*t, 1 = -5*a - 2*t + 25. Calculate the lowest common multiple of h(a) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1610 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 19*w**3 - 129*w**2 - 23*w - 37. Determine b(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = 18*l - 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*s + 14, s + 36 = 2*n + 13. Let w be -2 - n\/(2 + 0). Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-84)\/16*(0 + -24).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3066 = -5*z, -z = -6*u + 9*u - 606. Let t(q) = 2 - 614*q + z*q - 2. Let p(g) be the first derivative of -7*g**2\/2 - 1. Determine t(p(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.29 * 6.6\nAnswer: -8.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**4*u**3 + 645*g**4 + 10*g**3*u - g**2*u - 2*g*u**3 + 39*g*u**2 - 673*u**3 wrt g?\nAnswer: -72*g*u**3 + 15480*g + 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*a - 7*v + 271, 5*v = -a + 94. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27623654 (base 8) to base 11\nAnswer: 357a290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3888, 3827, 3692, 3483, 3200?\n\"Answer: -37*h**2 + 50*h + 3875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 4*r + 4. Let u be 5 - ((-2)\/2 + 2). Let l be (-3)\/u - 65\/20. Let f be i(l). Solve j - f*m + 9 - 1 = 0, m - 2 = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i = 17. Calculate the remainder when 32 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t**(-1\/3)\/t)\/t*t)**(-2\/19))**(-20))**(7\/2))**(-5\/4) assuming t is positive.\nAnswer: t**(700\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 - 54*s**2 + 57*s + 14. What is q(-19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*l**3 + 78*l**2 - 38800*l wrt l?\nAnswer: 402*l + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2835996 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -314*o + 1423.\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fooofgogufffgoff. What is prob of sequence fo?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3490 - -3492. Solve -3*q + 2*c = -9, 0*q - 3*q = a*c + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000669741 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**5\/20 - i**4\/3 - 7*i**3\/6 - i**2 + 2*i + 34. Give r(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5)\/n**(2\/11)*((n*n**(-1)\/n)\/n)**(-15))**(-45) assuming n is positive.\nAnswer: n**(-14562\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -116*d - 8. Let l(u) = 96*u + 8. Let t(i) = -12*l(i) - 10*n(i). Give t(9).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, c: 2, e: 5, s: 9, t: 2}. What is prob of picking 3 e?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2. Let b(i) be the first derivative of -3 + 0*i**2 + 0*i - 2\/3*i**3. Calculate -3*b(v) - 5*c(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + i**2 + 2*i + 71. Is 17 a factor of m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 326, 6, -4, 9, 1 in descending order.\nAnswer: 326, 9, 6, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 12 = 0, 3*c = -4*s + 38 + 144. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22662317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86411 is divided by 392.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2, 0 = -5*d + 2*n - 2 - 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d*q**3 + 40647*d*q - 90*d - 24*q**4 + 71964*q**3 + q wrt q?\nAnswer: -30*d*q - 288*q**2 + 431784*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21126, -42151, -63176, -84201, -105226?\n\"Answer: -21025*c - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 11:05 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 484\/9 + -805\/9. Let j = l + 36. Which is the nearest to 0? (a) 4 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 5. Let i(l) = -l + 4*l + 3 - l - 3*l. What is 7*i(y) - 4*r(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -13)*-2*6\/(-12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 25037?\nAnswer: -250370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) - (-3062)\/8. Suppose 0*u - 4*q + k = 5*u, 4*q = -12. Let w = u + -55. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 a when three letters picked without replacement from ojagg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -252379 - -80879. Round j to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Suppose 3*y + 18 = -5*w, 15 = -m*y - 0*y - 4*w. What are the prime factors of 4 + y + -2 - -35?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*h**3*u + 3749*h**3 - 208*h**2 + 32*h - 2*u wrt h?\nAnswer: -48*u + 22494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -4 (b) 3\/4 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 20*b + 24. Let i be o(19). Solve 3*j + i*a + 13 = -j, j - 4*a = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, f: 9, o: 1, g: 1}. What is prob of sequence zz?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2895 + 2895.01. Let k be (-3)\/(-12) - 13\/4. Which is the closest to 0.2? (a) r (b) -0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1671 and 219.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*h + 40*h + 10*h**2 + h**2 - 3*h**2 + 5*h**2 + (-2 + 4 - 1)*(0*h**2 - h**2 + 0*h**2) - 23 + 3*h**2 + 23 + (0*h + h - 2*h)*(-2*h + 3*h - 2*h).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3201)\/(-220))\/(-97)*(3 - -1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-120)\/9 + (-2)\/(-6). Let a = f - -21. Suppose 2*n - a = -0*n. Solve 4*v + 18 = u, 8 = -n*u + v - 5*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -84*((-10)\/15)\/(4\/(-3)). Let p = g - -36. Let s(t) = -t**3 - 5*t**2 + 8*t + 12. Let m be s(p). Solve -4*d = -m*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26158 and -1730?\nAnswer: 24428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 9*v + 5. Let g be t(8). Let w = g - -18. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*h = -132*h - 1845. Suppose -2*l - 3*l - h = 0. What is l rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i - 4*i - 1491380 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60600 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234123524 (base 6) to base 13.\nAnswer: bac403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/15)\/(3\/(210\/28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5)*(15 + -16). Put -0.1, w, -0.5 in increasing order.\nAnswer: -0.5, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2874073441 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25)\/6*4634\/(-1655). Let t(j) be the first derivative of -10*j + i*j**3 - 25\/2*j**2 - 16. Solve t(d) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68687808 divided by -204428?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**5 + g**3 - g**2 - g - 1. Let w(n) = 4*n**5 + 2*n**4 - 4*n**3 + 4*n**2 + 6*n + 6. Let d(t) = -6*k(t) - w(t). Factor d(r).\nAnswer: 2*r**2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.433 - -0.033. Let g = -9.02 - -0.02. What is the second biggest value in 2, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86396\/57 or -1517?\nAnswer: -86396\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 676899 or 4738290\/7?\nAnswer: 4738290\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3323 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -2\/9, -4119\/19 in increasing order.\nAnswer: -4119\/19, -4\/7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert aaa9 (base 11) to base 16.\nAnswer: 392f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143.8616 years to months.\nAnswer: 1726.3392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -122\/9 in 0.33, -43, -12, -1\/8?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 39. Let y = p + 214. List the prime factors of y.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.6 (b) -1 (c) -2\/19 (d) 4224\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -591 at most as big as -591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*u**3 + 0*u + 5*u**2 + 36*u**3 - 2*u + 9*u**2 - 1 in the form v*u + z*u**3 + c + i*u**2 and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {z: 9, p: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -13*i + 16*i. Put 118, 3, i in ascending order.\nAnswer: i, 3, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/10*3*(-70)\/(-42)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*j + j + 2*h, -1 = -j + 2*h. Suppose 5*z = 205 - 25. Suppose -3*q + z = j*t, 74 = 3*t - 3*q + 8. What is the remainder when 50 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6640394 is divided by 237155.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (4 - (1 - -1)) + 7 + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -5) + (-11 - (-5 + -9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**2 - 3*k + 1. Let r(f) = -17*f**2 - 7*f + 3. Give -2*r(z) + 5*y(z).\nAnswer: -z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 5:34 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 29 = -164*z + 159*z, 5*z + 10 = -3*t - 7 + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**4 - 8 - 9\/2*a**2 + 0*a + 0*a**3. Find the second derivative of r(p) wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2557701?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5882 + 8589 - 641*k**3 + 640*k**3.\nAnswer: -k**3 + 14471","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9*t - 5 = 0. Suppose 11 = 5*j + t. Let c be (j - -30)*1\/2. What is the greatest common factor of c and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1942 and 7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hahrasi. Give prob of sequence as.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - ((-5 - -7) + -3 - (30 - 11))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68120 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011011101100000 (base 2) in base 16?\nAnswer: 33760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9002400 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.6348 + 4.3652. Let c(l) = l + 5. Let v be c(-6). What is the second smallest value in v, k, -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12751\/9633 - -31\/3211. Solve 32\/3 - 8\/3*v - w*v**2 = 0 for v.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8648)\/(-506) + ((-1)\/(-3))\/((-29)\/1479)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**4\/24 - 2*q**2. Let j be (-16)\/(-5) - 2\/10. Let o(f) = j*f - 2*f - 11*f**2 - f. Give c(o(r)).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - c - 35 = 0, 2*b + b - 4*c - 45 = 0. Suppose -2*y - 2*v + 5 = -b, 3*y + 2*v - 40 = 0. What is the lowest common multiple of y and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-72)*((-5)\/2 - -4). What is the second smallest value in l, -7, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(25\/(-30)) - 4. Suppose 3*s - 5215 = -v*p, -4*p + 14560 = 2*s + 4126. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-63)\/30) + ((-168)\/320)\/(-21).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 - p + 19. Let h be z(-6). Let c(d) = -6*d**2 - 3*d + 3. Let i be c(-6). Let n = h - i. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 3886613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(1\/13)*w)*w**(3\/10)*(w\/(w**5\/w))\/w*w\/((w*(w\/w**4)\/w)\/w))**16)**(1\/15) assuming w is positive.\nAnswer: w**(424\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -5374?\nAnswer: -5374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + t**2 + t + 24. Suppose 0 = 2*n - n. Let l be s(n). Suppose 0 = 5*f - 229 + l. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - g**2 + 16*g + 34. Calculate t(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 55 + 47 + l - 4*l.\nAnswer: -3*l - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 2887*u + 17289. Determine m(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 160. Let s = f + -29. Let c be 224\/s + (-1)\/3. What is the second biggest value in -5, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 9:11 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45291.\nAnswer: 3, 31, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**4 + 5*d - 1. Let x(w) = -w. Let h be (-2)\/(-4)*(1 + -3). Let m be (15\/12)\/(h\/4). Let n(z) = m*x(z) - u(z). What is the derivative of n(b) wrt b?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 10) to base 2.\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 90*w + 455 + 83*w - 206*w wrt w.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 454995 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1446917951 * -0.5.\nAnswer: -723458975.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -1185?\nAnswer: -1185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 2\/3, -4, 0, 215.5708, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 382 + -176. Find the common denominator of (-2)\/(-2)*3\/(60\/v) and 1*695\/(-42) - (-10)\/(-35).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6717 - 6716.9999970072. What is d rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 40\/117 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 14. Let d be h\/(-2) + (-9)\/(-6). Let i(u) = 8*u + 8. Let a(f) = 7*f + 7. Determine d*a(r) + 5*i(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 5 (c) -162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/31451, 3, -50 in descending order.\nAnswer: 3, -15\/31451, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 39*u**5 + 5*u**3 + 29*u**2. Let o(y) = -39*y**5 - 6*y**3 - 29*y**2. Let z(l) = -5*o(l) - 6*r(l). Find the third derivative of z(s) wrt s.\nAnswer: -2340*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-75 - -48)*(-7)\/3. What is the highest common divisor of b and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -502103343 (base 6) to base 11\nAnswer: -4886159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(0 + 3) + -4. Let s(o) = 5 + 4*o - o**2 - o - 7*o. What is the units digit of s(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19150770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 77? (a) -4\/9 (b) -4 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19257916 is divided by 466.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1652102353 to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, w: 4, o: 1, p: 2, r: 2}. Give prob of picking 2 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 1392*a**2 - 24813*a - 111294.\nAnswer: -(a + 9)**2*(a + 1374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (3 - 0) - (-22 - 14 - -27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Suppose -2*s + b = -s. Suppose -s*x + 7*x - 270 = 0. What is x rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/10 - 20*c**2. Let k(p) = -5*p**2. What is k(w(s))?\nAnswer: -180*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184 + 170. What is the common denominator of -6 + (7 - o\/108) and 87\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - (-56 - -56).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*w**3 - w + 0 + 2 - 13*w**3 + w**4 - 3 in the form a + f*w**4 + k*w + p*w**3 + n*w**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 111\/(-39) + (63 + -67 - -1*7)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1116173977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -118*(-1*1\/(-50))\/(1391\/(-6955))?\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-1)*(-2)\/(16\/33164)?\nAnswer: 2, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*t + 4822 = 0, q - 5*q - 4*t + 4812 = 0. Suppose 10*z = 2*z + q. What is the second derivative of s**2 + 107*s**4 - 26*s - s**2 - z*s**4 wrt s?\nAnswer: -528*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.05, -6.8, 1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*i + 96, -5*r - 38 + 173 = -5*i. Suppose -j - 2*j = -66. Calculate the remainder when r is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 11. Let f be (-5)\/(-1) + (-1 - 3)\/(-4). Let z be u(f). Let p(h) = h**3 + 8*h**2 + 5*h + 1. Calculate the remainder when p(z) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 8. Suppose -1 + 6 = -4*v - d*c, -5 = -5*v + 5*c. Suppose 0 = b - 3*b + 4. Solve -3*i - b + 8 = v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71 or -99?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 810 and 108?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -5 (b) 1\/3 (c) 51 (d) 2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 16*p - 5. Let u be h(-16). Let g(f) = f**2 + 5*f - 2. Let o be g(-6). Suppose 3*s - o = -1. What is the closest to -0.1 in s, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71616 by 36.\nAnswer: -5968\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 2922205?\nAnswer: 2922205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 0 + -2 - 7. Let z = -6 - x. Suppose 3*h + 21 = 3*i, z + 1 = i + h. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 4*h + 3. Let j be r(-2). List the prime factors of (27 + j)\/(0 - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-190)\/(-285))\/((-2)\/(-123)))\/(((-18)\/(-3))\/6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*((-4)\/14)\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2883.753t?\nAnswer: 2883753000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(4752)*-2 - sqrt(4752))\/(sqrt(1584)*-4 + sqrt(1584)))**2*-4.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 5*b - 1, -3*b + 386 = -g + 387 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 0*d + 7100. Let u = 10541\/6 - d. Find the common denominator of u and -56\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*i + 117*i + 68*i = 41216. Suppose h + 2*h - 33 = 0. Suppose 3*n - h*n + i = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006843.\nAnswer: 37, 73, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 2. Let l be w(4). Suppose -r - 2*r = l. Let t = r + 5. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054893560 a multiple of 938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*k**3 - 91*k**3 - 189*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1352.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9102 divided by -218\nAnswer: 4551\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*x**2 - 3*x**3 + 13*x**3 - 7*x**3 + 30*x**3 wrt x.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4536\/73, 1.8 in increasing order.\nAnswer: -4536\/73, 1.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 10:45 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 157 - 75 + 2*v**3 + 6*v**3.\nAnswer: 8*v**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 65\/2. Let y = -0.7 - -0.4. Is y greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 17*d**2 + 13*d + 18. Suppose 4*p = -2*x - 24, 5*p + 4 = -3*x - 28. What are the prime factors of j(p)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1.5. Let i = -1 - -2. Let k = n - i. Which is the second smallest value? (a) 4 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-4)\/(4\/(-1)). Let d = 588 - 471. Suppose -p + s*p = -d. Is 117 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2426*q + 1671*q = 520319 for q.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*f + 35, 4*f - 3*f = 2*a - 5. Suppose -r + f = -3*k, -k = 2*k + 3*r + 9. Is k > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, 75 in decreasing order.\nAnswer: 75, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 3*a**2 - 2*a**4 + (11*a - 5*a - 16*a)*(3*a**3 + 0*a**2 + 2*a**2 - a**2).\nAnswer: -32*a**4 - 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -237 + 240. Sort -3, r, -28.\nAnswer: -28, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 12:30 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -787, 3, -5, 0, -3, 31.\nAnswer: -787, -5, -3, 0, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*k**3 - 196*k**3 - 283*k**3 - 368*k**3.\nAnswer: -717*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*u**3 - 7*u**2 + 0*u**2 + 2306514*u - 3*u**2 + 10*u**2 - 2306516*u.\nAnswer: 25*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1. Let t(k) = -11*k - 1. Let x(b) = -5*b - 1. Let u(a) = 3*t(a) - 7*x(a). Let o(i) = 5*r(i) - u(i). What is the derivative of o(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88.58 + -89. Which is the biggest value? (a) q (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/5 + 14\/15)*6. Solve -x + k + 1 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -115340*f + 576804. What is w(5)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**2*l)*l**4)\/(l\/l**1*l)**(-5\/2))**(-44) assuming l is positive.\nAnswer: l**(-242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*s + 3*f, 3*f - 13 = 2*s + 8*f. Let a be (10\/(-20)*s)\/((-3)\/26). What is the highest common divisor of a and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68.665 - 68. What is u rounded to two decimal places?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4956777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 253*a - 247*a + 499*a - 94*a**4 - 2 + a**2 in the form z*a + f*a**3 + g + x*a**4 + o*a**2 and give x.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 0 - 3*c**2 + c - 1. Let a = 94 + -75. Let d(j) = 7 - 42*j**2 - 4*j + a*j**2 + 27*j**2 - j. What is -d(v) - 5*g(v)?\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533235423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-89 + 101)*(0 + -1 + 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 21 - 19 - 2*n**2 - 6*n + 3*n**2. Suppose -5*c - 4 + 24 = 0. Let y(u) = c*u + u - 8*u + 2*u. Calculate -v(k) + 6*y(k).\nAnswer: -k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**0)**23)**(-36) assuming p is positive.\nAnswer: p**(-828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-six fifths of a century?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 + -27.1734.\nAnswer: -27.2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 + -272 + 207 + (21 - 1) + -1 + 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/35)\/l**2)**(-25))**(-1\/8) assuming l is positive.\nAnswer: l**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**(-1\/3)*k)))**(-1\/6)*k**5\/(k*k**(-3)) assuming k is positive.\nAnswer: k**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)\/c*c)**(3\/7) assuming c is positive.\nAnswer: c**(6\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-18))\/((-4)\/2). Which is the nearest to n? (a) -0.1 (b) -2 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a day?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -22 - (1 + -13 + 8). Find the common denominator of t\/135*-2*795\/(-216) and 38.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((8\/24 - 0)*3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*j*r + 5*b*n**2*r + b*r - 15*j*n**3*r - 11*j*n**2*r + n**3 + 6*r wrt j.\nAnswer: -b*r - 15*n**3*r - 11*n**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (16\/(-6))\/(10\/(-195))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 2*i + 18, 2*s + 4*i = 0. Suppose 288 + 336 = s*u. Suppose 3*g + 4*k - u = 0, -g - 5*k + 14 + 6 = 0. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) -4 (c) 4.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 10 = -0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 107488261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 26 = -3*g, -s = -2*g - 1 - 12. Let k(d) = 12*d + 24. Let y(p) = 13*p + 29. Let n(b) = 7*k(b) - 6*y(b). List the prime factors of n(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 30 = -3*t. Let f be 4\/4 + t\/(-14). Put f, -1, 0.2 in descending order.\nAnswer: f, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a kilogram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 7*k + 10. Let b be r(-6). Let o = -16 + b. Factor -1\/4*m - 1\/4*m**2 + o.\nAnswer: -m*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/22431502 and -10\/618191.\nAnswer: 157020514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.94 times -1568.5?\nAnswer: -7748.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -118*h - 712. Determine g(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3086498, -6173038, -9259578, -12346118?\n\"Answer: -3086540*w + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 3*f - x - 756, 0 = 3*f + 5*x - 756. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1671 - 657. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113660.036*-1.\nAnswer: 113660.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 4318901.\nAnswer: 4318900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssvs when four letters picked without replacement from {j: 3, v: 2, s: 3, g: 11}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 11 - 14)*(-v**2 + v**2 + v**2 + (v + v - 4*v)*(0*v + v + 0*v)).\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r - 17. Let w be s(-7). Suppose -5*n + 0*n = -4*y - 12, -5*y = 2*n - w. Let o be (-3)\/y*8\/(-18). What is the nearest to 2 in -2, o, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 166\/332*(-14)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 2, s: 1, z: 6, x: 2}. Give prob of sequence nz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o. Let g(z) = -38628*z**2 + 521*z. Give g(v(y)).\nAnswer: -347652*y**2 - 1563*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 (base 8) in base 14?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s**4 + 8*s**3 - 8*s**3 + (0*s - 4*s - 2*s)*(-76*s + 43*s**3 + 76*s).\nAnswer: -251*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53520 and 40140?\nAnswer: 160560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 13*w**2 + 5*w - 3. Let k(u) = -38*u**2 - 14*u + 9. Calculate 4*k(h) + 11*z(h).\nAnswer: -9*h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + (-9)\/2)*-86. Let h = -40 + y. Solve 4*x - h*w = -1, 3*x - 4*w = -w + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 40356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 128498 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1237*s**3 + 2*s**2 + 3*s - 1234*s**3 + 5*s as g*s + q*s**2 + v*s**3 + i and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 26135, 4 in descending order.\nAnswer: 26135, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 845 and 1690.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + 3*h**4 - 2*h**4)*(3054 + 15*h - 3054).\nAnswer: 45*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98615276?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 + -56 + (-117 - -1 - -1)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385219831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y - 1. Let n(a) = -20*a - 12. Let v(l) = n(l) - 12*q(l). Let h(b) = 17*b. What is -2*h(w) + 9*v(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 + 0\/(-2). Suppose 0 = 5*b - 15, i = -i - b + 7. Let s be 13\/10*i + -2. What is the nearest to 2\/3 in s, v, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110301120 (base 5) in base 4?\nAnswer: 21101212302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, b: 2, v: 6, x: 5, i: 1}. What is prob of picking 2 v, 1 a, and 1 i?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21057948?\nAnswer: 2, 3, 194981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -121313?\nAnswer: 121330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 11. Determine x(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10530312 (base 6) to base 7\nAnswer: -2513111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*d**4 - 20*d**4 - 9 + 19*d**4 + 10*d**4 wrt d?\nAnswer: 56*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 f when three letters picked without replacement from yogfm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180191, -360392, -540595, -720800, -901007?\nAnswer: -1081216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47\/59 in -1\/9, 0, 12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97971532*r**3*t**3 + 134193*r**3*t + 12*t**2 wrt t?\nAnswer: 587829192*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 914*p**2 - 650*p + 3992 - 3992 wrt p?\nAnswer: 1828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56446, -56427, -56404, -56383, -56370, -56371, -56392, -56439?\nAnswer: -56518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8938, 8, 5 in descending order.\nAnswer: 8, 5, -1.8938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 18*i - 14. Determine k(14).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (42 - 112 - -81)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1769 divide 47156603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 30*g + 56. Calculate the remainder when a(36) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (1 - -4 - -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 15 = -6*h + 16, -10*h = -3*d - 6*h - 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 73596 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3076*a + 5317*a + 722*a + 5024*a to q*a + l and give q.\nAnswer: 7987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 9550672964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 5*o**6\/8 - 1659*o**5\/8 + 303589*o**4\/16 + 61383*o**3\/2 + 36963*o**2\/2 + 277*o. Let m(f) = 0. What is f?\nAnswer: -2\/5, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*r - 37*r - 14*r - 69*r - 86*r + 163*r.\nAnswer: -138*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let q(u) = -2*u. Let v = 67 - 60. Let f(d) = -13*d + 86. Let s be f(v). Suppose 0 = 5*t - 15. Determine s*z(i) + t*q(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 141*u**2 + 5*u + 3. Let l be h(3). Let q be (-1)\/2 - l\/(-22). Suppose -5*b = 2*k - 190 - q, 4*b = 3*k + 203. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**2 - 13*i**2 + 42*i**2 - 4*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h*j**2 + 4522*h*j - 5*h - 157*j**2 - 25*j + 19 wrt h.\nAnswer: j**2 + 4522*j - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -2363?\nAnswer: 29\/2363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -868 - -2657\/3. Let m = y + -20. Let o = 17\/6 + m. What is the nearest to o in 3\/8, -6\/11, 0.3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -54 - 62 + 4*q + 233 - 61 - 63. Let d(o) = -o - 2. Let f(y) = 2*d(y) + u(y). Let z(v) = 6*v - 32. Give 17*f(l) - 6*z(l).\nAnswer: -2*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65661661 (base 7) to base 5.\nAnswer: 2421123211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 - 100. Let g be (1 + 22\/(-10))*-120. Suppose q*l = l + g. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -600, -618, -654, -714, -804, -930, -1098?\nAnswer: -1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 39334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or -0.096?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -20.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 210*h - 56. Let n(k) be the second derivative of 19*k**3\/6 - 5*k**2\/2 + k + 9. What is -5*m(v) + 56*n(v)?\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 2215828.\nAnswer: 9\/2215828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 609859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1417 is divided by 129.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -7. Let o(s) = 6*s - 2. Let m(l) = 12*l - 3. Let y(q) = -3*m(q) + 5*o(q). Calculate the remainder when y(u) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 554*v - 139*v - 3479360. What is the smallest common multiple of v and 8?\nAnswer: 8384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.579981872 + 4.58. Round p to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 11*m = -1092. What are the prime factors of m?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 2*q**2 - 2. Calculate f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12262695*d + 74981907?\nAnswer: 12262695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -13. Suppose 0 = 5*k - 0*k - h. Let -2\/3*d**k + 2\/3*d**3 - 1\/3 + 1\/3*d**5 - d + d**4 = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6326 or -6325?\nAnswer: -6326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1 - 1) + 6. Let h(l) = -2*l**2 + 3*l + 22. Let s be h(4). Suppose 2*y - s*q - 28 = 0, -v*y + 4*q = -y - 68. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3\/4*t**2 + 285\/2*t - 558 = 0.\nAnswer: 4, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99828 and 236.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 5*d**2 - 4*d - 11. What is q(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*l + 55. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/4*(6 - 2). Let i = 5 + x. Is (-178)\/(-9) + i\/(-18) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 321 - 483. Let t = y + 277. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + 5*(3 + sqrt(125)) + 5 + sqrt(125) + (sqrt(125) - -3*(sqrt(125) + 2)))**2.\nAnswer: 1600*sqrt(5) + 12756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (78\/(-14))\/(-1) - 36\/63. Suppose -17 = -3*k - u*f, -5*k + 23 = 4*f - 1. Solve 6 = 3*d, a + k*d - 13 + 2 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3017 (base 8) to base 14\nAnswer: 7cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 2. Let u = -7.8 + -106.2. Let t = 114.1 + u. Sort 2, s, t in increasing order.\nAnswer: t, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 74766*u - 74816. What is m(1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15 + 156\/(-8))\/((-81)\/36). What is z in -1\/8*z**3 - 2*z + 7\/8*z**g + 3\/2 = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4, 3*g - 66 = 3*j. Suppose -g = 4*p, y + 5*p + 21 = -0*p. What is the nearest to -2 in -5, y, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (171\/304)\/(2\/(-4))\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -72*q - 26. Let i = -48 - -45. List the prime factors of u(i).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2. Let r(w) = 11*w - 6*w - w. Give r(f(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -14\/5 (c) -0.05 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.2, 2\/15, 0.3, -162933 in decreasing order.\nAnswer: 0.3, 2\/15, -0.2, -2\/3, -162933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, k: 1}. What is prob of picking 4 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6230)\/(-1780)*(-4)\/((-2)\/(-2))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - 24.4. Let c = -24.987 - y. Let t = c + -0.0129908. What is t rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44017 = -5*j - 5*j + 68673. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3382 + 3391. Suppose 0*p = -3*p + 3*u + 6, 5*p - 2*u = 19. Solve p*c - f = 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 1474?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8716, 34814, 78186, 138730, 216344, 310926, 422374, 550586?\nAnswer: 695460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3360, -6378, -9396, -12414, -15432, -18450?\n\"Answer: -3018*g - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2215 = 2*b - 4*c - 1015, -4*b + 2*c + 6460 = 0. Calculate the highest common divisor of b and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*t - 126*t + 2514 - 10478 = 0 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-174)\/4)\/(223\/(49952\/(-336)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2605\/5242?\nAnswer: -2605\/5242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -40 - (4308 + -4152).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 286*w**4 - 50*w**4 - 2*w**4 - w**3 + 2*w**3 - w**3 + 2*w**4 - 9*w**4 - 60*w**4 + (3*w + 2*w - 4*w)*(0*w + 2*w**3 + 0*w).\nAnswer: 169*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1252, 395, -1900, -6353, -13684, -24613, -39860?\nAnswer: -60145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r - r - r + r + 4*r - 7*r + 0*r + 0*r - r + (3 + 2 - 3)*(-4 + 2*r + 4) + 5*r - 3*r - 4*r + 2*r - r - 2*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/60 + 37*i**4\/120 + 7*i**3\/15 + 103*i**2 + 2. Determine f, given that h(f) = 0.\nAnswer: -7, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74084 + 33768 = 146*q - 29512 for q.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in 1, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 14*i**2 - 26*i + 10. Let m be j(35). Suppose 0 = -11*c - 2*c + m. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 2*y - 4. Let t be f(-2). Let o be (-2)\/10*-1*(t - 3). Let r = 17\/35 - o. Which is the closest to 1\/8? (a) 4 (b) -1\/10 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((29 - 32) + (1 - -5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/8)*i**(2\/5)*i)**(-15\/2) assuming i is positive.\nAnswer: i**(-213\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -1 (b) 24442 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 13. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -4 + 6 - (-1 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.8. Let w = -9370 + 9365. Let v = -9 + 9. What is the nearest to v in -0.02, w, n?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99.4 + -16.4. Let y = -82.6 + i. Let m = -2.4 + 1.4. Sort m, y, -1\/6, -0.4 in increasing order.\nAnswer: m, -0.4, -1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 12:50 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000082564586 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/(sqrt(12)\/sqrt(3)) - sqrt(17)) + 3*sqrt(272) + sqrt(17))**2.\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67201966 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*m - 16434 = 6796 - 3710 for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 182, -5 in descending order.\nAnswer: 182, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66464*v**3 - 4590154*v**2 - 285521*v + 69 = 0. What is v?\nAnswer: -69, -1\/16, 1\/4154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -886\/1693 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(7\/147*7). Let z be (0 + (-4)\/17)*a\/12. Are -3\/10 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 + 111. Let q be (-3)\/(-5) - (-2018)\/t - 2. Let n = -251 - q. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 35*r - 377 - 403 = -60*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 2 = 2*y. Suppose y = -z + 3*u, 5*u - 7*u - 70 = 2*z. Let m = -22 - z. What is the highest common factor of 77 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 11*i - 23. Let g(u) = 3*u**2 + 17*u - 36. Let y(o) = -11*g(o) + 17*t(o). Suppose -3*c = -5*c. What is y(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19 + 6*n - 19 + 0*n + 34 + 2*n + 19 + 2*n - 5*n + n + (2*n - 2*n + 2*n)*(-4 + 4 + 2).\nAnswer: 10*n + 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1 - (22 - 16)) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 312.03 - 50.03. Which is the second smallest value? (a) 3\/2 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 21*z - 86. Give q(-27).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/11*n**2 + 36\/11*n + 0 = 0. What is n?\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 96114525 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 945.6803 days in nanoseconds?\nAnswer: 81706777920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 - 5 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1573) - (sqrt(1573) + (((sqrt(1573) - (sqrt(1573) + 0))*-3)**2 - sqrt(1573))) - -1*(1 + sqrt(1573) - sqrt(1573))**2))*4.\nAnswer: 8 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -6*s + 31*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**9\/63 + q**5\/10 + 22*q**2. Find the third derivative of g(c) wrt c.\nAnswer: -960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 3. Let c be (6\/20)\/k*6. Let i = 10 - 10. Put i, 1, c in descending order.\nAnswer: 1, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 2\/21*d**3 + 4\/7*d + 3\/7*d**2 - 9. What is s in v(s) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -12, -461, -3.\nAnswer: -461, -12, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -44, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 1 - 1)*(-4*p + 3*p - p) - 3*p**2 + 2*p**2 + 0*p**2 + 10*p**2 - 2 - 5*p**2 + 6*p**2.\nAnswer: 8*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-3\/5))\/k**11)\/(k**(-7)*k**9*k) assuming k is positive.\nAnswer: k**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10446.2 - -11771. What is c rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2273631?\nAnswer: 3, 17, 109, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3469 + 0.0531. Which is the biggest value? (a) t (b) -16 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76107 is divided by 34289.\nAnswer: 7529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(2 + sqrt(2736) + 5 + sqrt(2736) + 1 + 0))**2.\nAnswer: 9600*sqrt(19) + 275202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + r - 7. Let z be l(-3). Let y = 0.2 - 0.23. Let j = -0.13 - y. Is z at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-40)\/48 - -1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1081\/847?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 142, 7\/2, -4?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41587.07034 rounded to the nearest 1000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*x - 42, 10*p + 34 = 5*p + x. Let n = 43 + p. Calculate the remainder when n is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 divided by 271?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -2*t - 2. Let u(f) = -466*f - 20204. Let k be u(-44). What is the greatest common divisor of t and k?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17825074*t*v - 16355221*t wrt v.\nAnswer: 17825074*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 - 508*f**2\/5 + 6049*f - 474266\/5.\nAnswer: (f - 442)*(f - 37)*(f - 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7443636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*h + 73*h + 78. What is the remainder when 44 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {b: 1, m: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*q + 5*s, 4*s - 16 = -4*q + 48. Calculate the remainder when 33 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/53, -53\/59, -4, -0.4, -13\/3 in descending order.\nAnswer: 2\/53, -0.4, -53\/59, -4, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g + g**2)*(-1 + 1 - 5*g) + 8*g**2 - 8*g**2 - 26*g**3 + 3*g + 3*g**3 - 3*g + (2*g - 2*g - 2*g**2)*(0*g + 0*g - 2*g).\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 6*w - 9. Let b = 43 + -11. Suppose -q + b = 3*q. What is the units digit of r(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253.35 - 12\nAnswer: 241.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3196*v**2 - 329*v. Let y(s) = 39*s**2 + 4*s. Let q(r) = 4*a(r) + 329*y(r). Let c(g) be the second derivative of -g**4\/12 + 120*g. Calculate q(c(w)).\nAnswer: 47*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.8 - -14. Let z = -5 - x. Which is the closest to 1? (a) 2\/19 (b) 3\/8 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 2. Suppose o - y = 4*l, 2*l - 26 = -3*o - o. What is the second derivative of 10*f - 7*f**3 - 7*f + o*f - 11*f**3 wrt f?\nAnswer: -108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3624 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**4 + 148*y**3 + 2272*y**2 - 7792*y + 5376 = 0 for y.\nAnswer: -14, 1, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 146304 and -0.7.\nAnswer: -102412.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0555 and 73.738735.\nAnswer: 73.683235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -41334?\nAnswer: 41342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 3)*(-3*v - 1 + 1 + (2 - 1 - 3)*(v + 0*v + 6*v) + (0*v - v + 2*v)*(-5 + 3 - 21)) in the form u + p*v and give p.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 3*p**2 + p - 3. Suppose 15 = -41*d + 36*d. Give w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l - 2*l + 4*l)*(-2*l + 3*l + 0*l) + l**2 + 0*l**2 + l**2)*(-7*l**3 + 9 - 9).\nAnswer: -21*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 10:13 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 - l**2. Let a be s(-1). Let i = a - 2. Factor i*p + 0 - 2\/5*p**3 - 2\/5*p**2.\nAnswer: -2*p**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b - 2. Let j be q(-6). Suppose 0 = -p - 0*p. Suppose p = r + 2 - 4. Calculate the greatest common divisor of j and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2\/9*p**4 - 248\/3*p**2 + 26\/9*p**3 - 2464\/9 + 2600\/9*p = 0.\nAnswer: -28, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-2 + 25 - (-3 + 10)) + -75 + 0.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 152969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 2*r + 123*r**2 + r.\nAnswer: 123*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 11*y + 8. Let p be h(11). Find the second derivative of 4*t + p*t**3 - 1 + 1 wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 128912 (b) -1143 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 45 + 80. Let y = 49 - l. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -500*c - 1376. List the prime factors of z(-9).\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.303 + 19.097. Let w = h - 21.4. What is the closest to 1 in 12, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -13, 1, -9, -0.5, -0.114?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48, 50, 62, 90, 140, 218, 330, 482?\n\"Answer: j**3 - j**2 - 2*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1986.746 millilitres to litres.\nAnswer: 1.986746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 109556, 2 in increasing order.\nAnswer: -4, 2, 109556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbrbbbdbrbc. Give prob of sequence brbc.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-18)\/27))\/(3\/3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -288507, -288832, -289157, -289482, -289807, -290132?\n\"Answer: -325*x - 288182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0*v**4 - v**2 + 0*v**6 + 0 + 1\/30*v**7 + 0*v + 1\/30*v**5 + 0*v**3. What is the third derivative of j(r) wrt r?\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 3. Let m be (-82)\/6 - (-2)\/(-6). Let f = 24 + m. Let d(z) be the first derivative of 7*z**2\/2 - 7*z + 13. Give f*t(b) + 4*d(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 20 = n + 3*f, -5339*f - 4 = 4*n - 5344*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a day in minutes?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -228955182, -228955179, -228955176?\n\"Answer: 3*f - 228955185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 3*j - 4*j)*(-2*j**2 - 3*j**2 + 3*j**2) - 3*j**3 - 2*j**3 + 4*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 41. Suppose 3 - c = -2*k. Let p(h) = -7*h**3 - 32*h**2 - 8*h + 38. Calculate the remainder when k is divided by p(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*f**3 - 25*f**3 + 41*f + 22*f)*(3 - 1 - 1) as x*f**2 + g + v*f**3 + i*f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68747?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2. Let z(k) = k**2. Let a(r) be the first derivative of -r**3\/3 - 2. Let n be ((-2)\/(-6))\/(18\/27)*4. Let d(h) = n*z(h) - a(h). What is q(d(j))?\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78657 - 78663.4426. Let m = i - 0.5599. Let r = 7 + m. What is r rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.2, -15, -1\/124?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g**2 + 3*g + 8*g - 11*g.\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18730 is divided by 586.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*m - x, -3*x = m + 2 + 1. Solve -5*g - 5 = -m*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2358.285ns to milliseconds.\nAnswer: 0.002358285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c - -15564?\nAnswer: 15537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s*s*s*s**(1\/10)*s)\/s))\/(s**(-5\/2)*s))\/((s*((s\/(s\/(s**9\/s)))\/s)\/s*s)\/s**(-2\/9)) assuming s is positive.\nAnswer: s**(-442\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -48. Let d = -13\/4 + 3. Which is the nearest to d? (a) 0.3 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w - 90 = -32*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -36\/7 + 10\/7*t**2 - 86\/7*t = 0.\nAnswer: -2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, w: 2}. Give prob of sequence waa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -684029, -683634, -682961, -681998, -680733, -679154, -677249?\n\"Answer: 2*d**3 + 127*d**2 - 684158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33\/7 + 3\/(21\/2). Suppose -d*v - 69 = -574. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103101 (base 4) to base 6\nAnswer: 5413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 - 2*q - 4. Let j be o(4). Suppose -12*l + j = -8*l. Calculate the lowest common multiple of l and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 387*j**6 - 149*j**2?\nAnswer: 46440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141001848*y**3 + y**2 - 3*y - 6821323.\nAnswer: 846011088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**4\/8 - 2*s**2 - 1. Let j(d) be the second derivative of a(d). Determine j(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 427464 and 12.\nAnswer: 427464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 0 = -3*q - 0*q + 5 + 1, -5*q + 118 = 44*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 15.22 (b) -3 (c) -1.7 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -6. Let b = 1 + l. Let m = b - 0. What is the nearest to m in 2, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16480855, 16480859, 16480863, 16480867?\nAnswer: 16480871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -5\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1216736 (base 9) to base 2.\nAnswer: 10100001011001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*b - 2108 = -2597 - 7722 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(32\/(-752))*(3348\/27)\/(-31)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 2*h**2 - 18*h - 3 + 62 - 26*h.\nAnswer: 2*h**2 - 44*h + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*y + 7 = 0, 0 = -5*i + 4*i + y. Is 8\/9 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 4*c - 55. Let x be g(-10). Let b(u) = -u**3 + 5*u**2 + 5*u - 11. What is b(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 4*o - 3*o)*(608*o**2 + 126*o**3 - 608*o**2) + (-9 - 2*o**3 + 9)*(4 - 4 + 2*o) + 0*o**4 + 0*o**4 + o**4.\nAnswer: -129*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 490481, 1961941, 4414379, 7847795, 12262189, 17657561, 24033911?\n\"Answer: 490489*w**2 - 7*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, c: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/25))**(-39)*g*g\/(g\/g**(-8))*g\/(g*g*g*g\/(g*g**(-2))) assuming g is positive.\nAnswer: g**(-353\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119469 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - -5 - ((-4 - 1) + 3) - -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 96.61387 nanograms?\nAnswer: 0.00000009661387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r. Let x(k) = -9*k + 3. Let q(j) be the third derivative of 3*j**4\/8 - j**3\/3 + 111*j**2. Let s(i) = 3*q(i) + 2*x(i). Calculate s(p(w)).\nAnswer: -72*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22c6a8 (base 14) to base 7.\nAnswer: -13041601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125 - 34*j**2 - 89*j**2 - 125)*(-2*j**3 + 0*j**3 + 4*j**3).\nAnswer: -246*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -3 (c) -0.04 (d) 3\/19 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*h + 32*h + 276. Suppose 5*z - h = -21. Suppose 0 = -2*q + 3*d + 67, 54 + z = 5*q + 5*d. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, 2, 3, 4, -13, -2 in decreasing order.\nAnswer: 156, 4, 3, 2, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**6\/360 - i**4\/12 - i**3\/6 + 14*i. Let b(m) be the second derivative of u(m). List the prime factors of b(-7).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 729*q + 2221. Let m be x(-3). What is the highest common divisor of m and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -134 (b) -6 (c) -0.3 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n + 5. Let h be f(0). Suppose d = -5*g - 2 + 23, -g = -4*d. Calculate the smallest common multiple of 5 and (-2)\/g*(1 - h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47\/85 - -6\/17. Which is the second biggest value? (a) v (b) 3\/8 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**2 - 7*g + g - 18*g + 715 - 39*g + 23*g**2.\nAnswer: 6*g**2 - 63*g + 715","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/7))**(-15) assuming j is positive.\nAnswer: j**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -6) + 2 - -49 - (12 + -11 + -3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - t - 1. Let f(r) = 7 - 2*r**2 + 4 + 7*r - 7. Let y(u) = f(u) + 3*s(u). What is y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140 + -95. Let y = a + -45.000047. What is y rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2\/9, 0.3, -6963, 1\/6, 4\/3, -5\/6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: How many minutes are there between 1:44 PM and 11:32 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44d84a + 12?\nAnswer: -44d838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2520*z**3 - 30*z**2 + z + 2. Let x(u) = -2521*u**3 + 45*u**2 - 3. Calculate -3*v(d) - 2*x(d).\nAnswer: -2518*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -15*c**5 - 15*c**4 + 26*c**3 + 15*c**2. Let n(y) = -5*y**5 - 5*y**4 + 9*y**3 + 5*y**2. Let i(b) = 4*d(b) - 11*n(b). Solve i(m) = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((6\/8)\/1). Let m(r) = 84*r + 127. Let y(t) = 250*t + 380. Let b(n) = 11*m(n) - 4*y(n). Let g be b(-2). Put 3, o, g in decreasing order.\nAnswer: g, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= 5534342\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1265*c**4 + 2648*c**3 + 3854672*c**2 wrt c?\nAnswer: 30360*c + 15888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88183546 to the nearest integer?\nAnswer: 9391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 80947368 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 8 - 32 = 0. Let u(s) = -s**3 + 6*s**2 - 4*s - 2. Let x be u(5). Is (x - (-166)\/h)*6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffaaa. Give prob of picking 3 a and 1 f.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**2 - 7*l**2 + 5*l**2 + l**2 - 1284 - 2*l**2 to g*l**2 + m + x*l and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 221 and 65?\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 4 (c) 7029 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 9*h + 8*h - 17*h - 31 - 3*h.\nAnswer: -25*h - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9262 divided by -9262.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 368\/3 + -122. Factor 4\/3*y**3 + 0 - 4\/3*y + 2\/3*y**2 - n*y**4.\nAnswer: -2*y*(y - 2)*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(27\/(-4)))\/(((-440)\/891)\/10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505 - 230 + 499 = -258*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 810010252?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20171606 and 45304.\nAnswer: 80686424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*u + 20, 6*u = 7*u + 2. Suppose -2*g + 4*r + 56 = 0, -g = -2*g - y*r + 8. Calculate the highest common divisor of 90 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.2. Let t = -135 + 190.6. Let r = 56 - t. Which is the nearest to 2\/13? (a) r (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 543.189um?\nAnswer: 0.0543189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/(-185)*(1 + (-52)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32 - -274?\nAnswer: 2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 = 5*s - 2, -d + 5*s = 10. Let p = -5 + 5.3. What is the closest to -2\/11 in d, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764282483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -236187\nAnswer: 472374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w + 9. Let r(j) = -j. Let o(u) = b(u) - 6*r(u). Let z be o(5). Let p(i) = i**2 - 7*i + 9. Let x be p(z). What is the smallest value in 0.6, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 132364?\nAnswer: 529456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6715\/18 - -370. Find the common denominator of q and 139\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002541 rounded to 6 decimal places?\nAnswer: 0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -5 (c) 1\/6 (d) -12\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4\/2 - 22143*x**3\/2 + 419931*x**2\/2 - 2186757*x\/2 + 894483 = 0. Calculate x.\nAnswer: 1, 9, 7362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3648*o**2 - 308752 - 1344*o**2 + 308752 to the form v + u*o + m*o**2 and give m.\nAnswer: -4992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*sqrt(1053)*2*6)**2 + -4*-2*sqrt(117) + -3 + (sqrt(117)*1 - sqrt(117)) + -3.\nAnswer: 24*sqrt(13) + 136468794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22 - (1 - 0 - -3). Let o be l\/(-4)*76\/(-6). Suppose -163 = -4*a + o. Calculate the highest common divisor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.004 * 0.51.\nAnswer: -0.00204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -4*x + 10. What is the tens digit of -2*5\/x + 442\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66144*v**5 - 22*v**2 + 2*v + 170 wrt v.\nAnswer: 3968640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 13. Let q = 12.00031 - b. Round q to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453*a**3 + 15663 + 481*a**3 - 15663.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 + 3027 = 11*g. Solve -321*n - 48 = -g*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361774514 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6*i**2 - 70815*i**3 - 93*i + 35404*i**3 + 35421*i**3 - 1 to n + l*i + p*i**3 + q*i**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 120?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let i(y) = y + 3. Let a(j) = -2. Let f(u) = 6*a(u) + 4*i(u). Give f(p(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -850824, -1701647, -2552470?\n\"Answer: -850823*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -0.4 (c) -2\/3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001563285 to 6 decimal places.\nAnswer: 0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261 divided by -29.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 35 = 91. What is the remainder when ((-285)\/20)\/(3\/m) is divided by 40\/(-14)*77\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -98.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2127\/7 + 31646\/105. Let k be 2 + (2 - 12\/10). Let p = k + r. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/9319 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 109.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-eight sevenths of a week in days?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221 (base 10) in base 14?\nAnswer: -b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*p - 2, -6*p + p - 5*u + 10 = 0. Let r be 1\/(-3) - (-75)\/99. Let m = -12\/11 + r. Is p < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3038?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + (-3 + 1 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**38\/q)\/q)\/(q*q**(3\/7)*q*q)*(q*q\/(q\/q**(-1\/19))*q)\/(q**(3\/16)*q) assuming q is positive.\nAnswer: q**(70929\/2128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7768297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2. Let v(d) be the second derivative of 31*d**3\/6 - 243*d**2\/2 + 3*d + 198. Give m(v(s)).\nAnswer: -1922*s**2 + 30132*s - 118098","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 54. Let g(u) = -26*u + 13*u + y*u. Let j(h) be the third derivative of h**5\/30 - h**2. What is g(j(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -5*l. Suppose 0 = 7*i - l*i - 21. Let h = 22 - 16. What is the remainder when h is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -176 in -4, -9550, -0.5, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 3*s**2 + 5*s - 4. Let b be f(1). Suppose -25*l - 180 = -13*l. Which is greater: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -r + 2*r - 104, 20 = 5*n. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -9\/4*a + 3\/2*a**3 + 3\/4*a**5 + 9\/4*a**4 - 3\/4 - 3\/2*a**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + v**2 - 2*v - 30. Give z(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14165 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 86*o + 4. Let x be t(-2). Let u be ((-2)\/(-6))\/((-2)\/x). Calculate the greatest common divisor of 224 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 - 62. Suppose -195068 = -c*f + 107315. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -205, -1578, -5303, -12556, -24513?\n\"Answer: -196*u**3 - u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163 - -329\/2. Which is the nearest to 31? (a) f (b) -2\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a. Let q(d) = -3*d. Let p(h) = -4*n(h) + 9*q(h). Let g(c) = -7*c**2. Calculate g(p(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13612713 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 11 = 3*m, 3*m - 7 = 2*c - 4*c. Let o(f) = -f - 4. Let d be o(c). Suppose d = -3*k - 2*k + 125. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 571*s - 2019*s + 187 - 187 to the form k + t*s and give t.\nAnswer: -1448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2448) - (-1 + sqrt(2448)))**2 - (-2 + sqrt(2448) + 0 + sqrt(2448))) + 0 + 0.\nAnswer: -24*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40.072 + -40. Let y = -0.072000068 + d. Round y to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3567840 divided by -1.\nAnswer: -3567840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1288.6 and 17982.\nAnswer: -23171605.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11731 = 21*l - 11689. Sort l, 8\/9, 3, 4, -0.1 in decreasing order.\nAnswer: 4, 3, 8\/9, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -429, -513, -557, -549, -477, -329, -93?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enenneeeeeeneeen. Give prob of picking 2 e.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 68873531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1679741, -6718852, -15117361, -26875262, -41992549, -60469216?\n\"Answer: m**3 - 1679705*m**2 - 3*m - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 921.97 and -0.5?\nAnswer: -460.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*q**2)*((-3 + 3 - 7*q)*(-q - 2*q**2 + q) + 6*q**3 - 3*q**3 - q**3).\nAnswer: 32*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (5\/((-10)\/(-32)))\/((-2)\/(-29))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 52*r**2 - 41*r - 81. What is the tens digit of y(30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-24)*6\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 21. Suppose 0 = g*d - 4 - 11. Let h(o) = -2*o + 2. What is h(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (4 - 0 - 9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 315 = 2*u. Calculate the common denominator of (63\/(-180))\/((-9)\/2 - -4) and 228\/u - (-2)\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2. Let x(w) = 2*w**2. Let o(i) = -7*v(i) - 3*x(i). Let b(y) = -5*y. What is o(b(k))?\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 184*i - 173. Let o(s) = -61*s + 57. Suppose -52 = 11*c + 14. Let a(p) = c*z(p) - 17*o(p). Differentiate a(q) wrt q.\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 10*h + 7316 = k, -2436 = -h - 3*k. What is the remainder when h is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -7*c**6\/30 + 11*c**2\/2 + 3*c. Differentiate y(o) with respect to o.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 + 2*g**3 + 3*g + 0*g**4 + g**4 + (-g**4 - 2*g + 2*g)*(-5 + 4 + 3).\nAnswer: -g**4 - 2*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-14)*2*(-2)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75336747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/4)\/3*244\/(-183).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 2482*c**3 + 1257*c**3 + 3*c.\nAnswer: 3739*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2355 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 plus -2519?\nAnswer: -2497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25771489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*q. Suppose 4*r + 9 = -g - q, 2*r + 4*g = -20. Let i(h) be the third derivative of h**4\/24 - h**3\/6 - h**2. Calculate i(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30)\/8)\/((-90)\/22440). What is the highest common divisor of 85 and t?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.17 + 6.77. Which is the third smallest value? (a) 2\/19 (b) -71 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -74. Let g(p) = p + 5. Determine g(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a factor of 23951739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -536 - -26616?\nAnswer: 26050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(5\/2)\/h)\/(h\/h**(-3)) assuming h is positive.\nAnswer: 1\/sqrt(h)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = -2*s, 2*o - s = s - 4. Let l be o - ((3 - 0) + 3). Let d(x) = x**2 + 5*x - 5. Determine d(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2, 2\/7, 4 in descending order.\nAnswer: 15, 4, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 593.6+-0.033\nAnswer: 593.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 20\/66972681 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 10*n**2 + 102*n + 122. Let l be a(7). Calculate the highest common divisor of 4737 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/8 + (-2)\/(-4). What are the prime factors of 22\/6 + v\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456918 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.1 + 0.7. Let l = o + -26.8621. Round l to three dps.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8350*f - 258851. Calculate q(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245743 divided by -6?\nAnswer: -1245743\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 + 118. Let p = -3.36 - 0.04. Let c = h + p. What is the second smallest value in 2, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 210 = -5*u, -2*n - 222 = -6*n + u. What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 9*v**2 + 37*v - 12. Determine s(-12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11328617 (base 9) to base 14.\nAnswer: a3655b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 405, 838, 1271?\n\"Answer: 433*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2437 + -2437. Let d(o) be the second derivative of z*o**2 - 3\/4*o**4 + 17*o - 1\/2*o**6 + 0*o**3 + 0 + 0*o**5. Find the third derivative of d(v) wrt v.\nAnswer: -360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 + 11*l**2 + 9*l**2.\nAnswer: 20*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*d + 33 + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 4*m**2 + 3*m + 13. Let j be (-250)\/(-70) + (-1 - (-20)\/14). Let o be s(j). Solve -5 - o = 6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/19141723?\nAnswer: 1\/19141723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/38234 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 30*m**5 + 1115*m**4 + 1235*m**3 - 935*m**2 - 1265*m - 180 = 0.\nAnswer: -36, -1, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxk when three letters picked without replacement from {o: 1, x: 1, k: 2, l: 1, u: 1, h: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3*v, -3*i = 2*i - v + 17 + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 640321, 641042, 641763, 642484?\n\"Answer: 721*n + 639600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-6)\/(-1)*(-42)\/(-42)*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 - (-1)\/(-4). Let a be 1 + (22 - (3 - 1)). Suppose -5*c + a + 24 = 0. Solve i = 2*y + y + c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2331*x**3 - 15*x**2 - 106 wrt x.\nAnswer: 13986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 22*x = -121 - 427, -2982*t + 9*x = -2979*t + 231 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -411, -1671, -3779, -6741, -10563, -15251, -20811, -27249?\nAnswer: -34571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -36. Let b(v) = 2*v - 6. Let t(q) = 2*q - 7. Let p(k) = c*t(k) + 7*b(k). Let x(r) = -12*r. What is x(p(l))?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*q - 0*q - 330, 0 = 3*n + 4*q - 1060. What is the smallest common multiple of n and 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -6 + 1890\/(3 + 3). Let z = 571 - t. What are the prime factors of z?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 14*h - 18*h + 270227, -h + 270230 = 3*o. Suppose 17*f - o - 150762 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 8*j**2 + 5*j - 8. Let a be -1*(0 + -1) - 1. Suppose a = -f + w - 3 - 1, 2*f + 26 = -4*w. What is the units digit of y(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 7) to base 13\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 246026 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 418463269*t - 595197493?\nAnswer: 418463269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.013796 and -8993.\nAnswer: 124.067428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3 - 0)*-1)\/1. Suppose -b*f + 6 = -f. Find the third derivative of 0*x**2 - 7*x**5 - f*x**2 + 3*x**5 + 2*x**2 wrt x.\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -6, 97, -113, -3 in increasing order.\nAnswer: -113, -6, -3, 3, 5, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 558 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2 - 5*p + 81. Let l(k) = -13*k**2 + 10*k - 205. Let r(v) = 5*f(v) + 2*l(v). Suppose -33 = 3*a - 0*a. Let g = a - -7. Give r(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 7. Let f be x(-5). Suppose -f*g + 31 = -g. Let u = g - 15. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3166690.\nAnswer: -9500070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - g - 2 = 1, -d + 3*g - 11 = 0. Suppose -2*k - 5*h = 263, 5*k + 4*h + 715 = 3*h. What is the units digit of (-10336)\/k + d\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16666.664 - 16591. Let g = -1.036 - i. What is g rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/192 (b) -194 (c) 0.782\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/12405094 and 65\/34284?\nAnswer: 74430564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85235553*k**3 + 122217194*k wrt k?\nAnswer: -511413318*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 18*z**2 - 9*z**2 + 3*z - 287 + 573 + 10*z**2 - 287. Let t(w) = -28*w**2 - 5*w + 2. Calculate 8*f(v) + 5*t(v).\nAnswer: 12*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 5, q: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205198464 to the nearest integer?\nAnswer: 14325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 + 2*o**4)*(4*o - 7*o + 0*o + (1 - 1 - o)*(0 - 2 + 1)).\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*u + 2, -4*u - 7 = 5*w + 2. Let y be -1 - -2 - (w - 0). Let t = 17 - 9. Solve t = 2*v - y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/12 + 22*z\/3 + 65.\nAnswer: (z + 10)*(z + 78)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 471 = 15*t - 587, j = 4*t - 33 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2. Let r(o) = 10*o**3 - 4*o**2 - 2*o - 1. Give -4*q(c) + r(c).\nAnswer: 10*c**3 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -31. Let z(s) = -197 + 392 - s**2 - 192 + s. Give z(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 45 - 39, b + 2*b = r - 18 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 2*a - 5. Let j = 18 + -22. Let f be r(j). Solve 5*y = 3*b + 9, f*y - 2*b = 1 + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8241 and 2154720?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, e: 3, u: 1, o: 3, a: 7}. Give prob of sequence oeo.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6867691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 0.05751?\nAnswer: 0.24249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 95*o - 1163*l + 1167*l - 65 - 30, 2*l = -o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5176332 divided by -126?\nAnswer: -41082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 26*n + 21*n - 7, 5*n = -3*t - 13. Suppose 5*h + 21 = -2*v, -3*h + 3 = -4*h. Put v, 5, t, -2 in descending order.\nAnswer: 5, t, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -163, -269, -395, -547, -731, -953?\nAnswer: -1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -680, -613, -570, -563, -604, -705, -878, -1135?\n\"Answer: -2*q**3 + 81*q - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4)*0)\/((-16)\/2 - -7). Let j be (4 - -7)*(-2)\/(-50). Which is greater: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5585 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4966020?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.023 - -0.977. Let s = -5.82 - -6. Is s bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 - -85.7. Let v = n - 0.7. Is v != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*j - 148 - 908 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-1))\/((-33)\/198*-18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + -1 + -3 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-7))\/(-2))\/((-4)\/(-8))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 44*w - 5. Give v(-2).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390 divided by -78.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 10. Suppose -h = -i*h. Suppose 0 = q - d - 76 - 77, 5*q + 3*d - 733 = h. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 + -1001203010?\nAnswer: -1001202403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*y**3 + 100*y**3 - 193*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3646846 to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**5\/10 - 6*j**3 + 9*j**2\/2 - 21*j. Differentiate o(p) with respect to p.\nAnswer: 6*p**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(0 - 3 + 1)*(2013*q + 1796747 - 1796747).\nAnswer: -4026*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 9*m**2 - m - 13. Let u be k(-9). Is (u\/8)\/((-2)\/4196) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 divide 86953112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - 1.11. Let y = 83.823 + 0.177. Let x = y + -83.5. What is the closest to m in -2, 3, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-4 + 5 - 2). Suppose -3*p + c*r + 26 - 10 = 0, -5*r + 37 = p. What is the highest common factor of 9 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 4*l**2 + 3*l - 7. Let j(f) = 7*f - 5 - f**3 + 8*f**2 - 9 + 4*f**3. Let p(z) = -3*j(z) + 5*x(z). Determine p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187901592932551 - 4.\nAnswer: -187901592932555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-381)\/254*(-50)\/3. Solve -2*l = h - 9, 3*h + 5*l - g = -0*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**3\/5 - 3126652*g**2\/5 = 0.\nAnswer: -781663, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7540199*x**3 + 9055983*x wrt x.\nAnswer: -45241194*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*g**2 - 23283*g - 7763.\nAnswer: (3*g + 1)*(6*g - 7763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 9 = 6. Which is bigger: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - 4*u + u)*(-21*u**2 - 22*u**2 - 32*u**2 + (u + 11*u - 2*u)*(-5 + u + 5)) as k*u**3 + w*u**2 + t + v*u and give k.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2496 (b) 23 (c) -507 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-1 + 13\/(52\/(-16)). Suppose 5*v + 4*s + 2396 = -0*s, 0 = 2*v + 5*s + 955. Find the common denominator of 95\/6 and ((-664)\/v)\/((-2)\/y).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(sqrt(1539) + -4) - sqrt(1539) - 1*(sqrt(1539) - sqrt(1539)*3))**2.\nAnswer: -12600 + 864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4896 is divided by 1379.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -345 (b) 1964 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(26\/(5668\/4687)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086 plus -11.977?\nAnswer: 1074.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -18e?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58035 and 42665?\nAnswer: 9343635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -414, -330, -156, 150, 630, 1326, 2280?\n\"Answer: 7*b**3 + 3*b**2 + 26*b - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwp when three letters picked without replacement from wwdupudddwwudh?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.612 - -35.612. Which is the nearest to 2? (a) -5 (b) -1\/6 (c) 38\/13 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (5 + -1 - (-13 - -1)). Calculate the highest common divisor of 32 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 2*i + 15. Let d be s(-4). Suppose 5*v - 277 = d. What is the units digit of 4\/(v\/9)*(3 - -42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by -59.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*t)*(19 - 1 - 5) + 3*t + 0*t - 5*t - 2*t - 2*t + 0*t.\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**3\/6 - u - 27. Let m(g) = -6*g**2. Give m(t(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -362635 divided by -91\nAnswer: 3985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 44. Let b(a) = a - 10. Let m(u) = 19. Let o(t) = -17. Let w(y) = 6*m(y) + 7*o(y). Give i*b(f) + 5*w(f).\nAnswer: -2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 16 = 3*g + 11, 2*g = 4*m - 38. Solve -5*s + m = -7*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91 - 185 + 77 + 2*x + 0*x to the form o + i*x and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 5*j**2 - j + 2. Let b be g(4). Suppose -3*v - d = 8, v + b = -3*v - 2*d. Is v less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -4 - -7) + -6 + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2071 = -4*u, 0*u = u + 2*p - 519. Let z = u - 27. Calculate the greatest common factor of z and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 49 = 3*q, 0 = -2*q - 5 + 7. Solve -a*t + 77 = -131 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -113*c + 8. Let n be w(-4). Let v(d) = d**2 - 9*d - 2. What is the lowest common multiple of 3 + (n\/4)\/5 and v(10)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373 is divided by 672?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 80675309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 478, 38, -1\/5, 2 in descending order.\nAnswer: 478, 38, 2, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 967740*n + 967743.\nAnswer: -3*(n - 1)*(n + 322581)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 51, 83, 129, 189, 263?\n\"Answer: 7*q**2 - 3*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**5\/50 + h**4\/5 - 117*h. Determine m so that w(m) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 29 - 30 - 33 - 4361*y**2 + 31593*y**2.\nAnswer: 27232*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 3*l**5\/20 - l**2 - 17. Let i(z) = -19*z**2. Determine i(o(f)).\nAnswer: -1539*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = 0, -2*n - 7 = 5*y - 33. Suppose -30 = -11*c + y*c. Factor -4*s**2 + s - c*s**3 - 4*s**4 - s**5 + 0*s - 2*s.\nAnswer: -s*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.54? (a) -4\/15 (b) -7 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233 by -2.\nAnswer: 233\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -x - 2*g + 3*g, 0 = -3*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 0 - 50481*s**3.\nAnswer: -50481*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 826*g + 35824. Give b(-46).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17*14\/(-14) - -24 - (2 + 186\/38). Factor -b*x**2 - 24\/19 - 26\/19*x.\nAnswer: -2*(x + 1)*(x + 12)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**2 - 4000 + 4*j**2 - 351*j**4 + 3396 + 4*j**3 - 4*j**3 wrt j.\nAnswer: -1404*j**3 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 + s**2 - 2*s + 245. What is the units digit of h(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/3 (b) 1\/2 (c) 3\/8 (d) 0.0073\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/30245169 or 1?\nAnswer: 2\/30245169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2337 + 2339. What is the least common multiple of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-3)\/(-78) + 24012\/(-2106) + 12. Let q be 3 - (1 - (-258)\/(-27)). Factor -676\/9 - q*g - k*g**2.\nAnswer: -4*(g + 13)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*((234\/168)\/13)\/((-18)\/(-16)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49702 divided by -46.\nAnswer: 24851\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20392258 and 52?\nAnswer: 530198708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 17, x: 3}. Give prob of sequence xx.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 134, 320, 584, 926?\nAnswer: 1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and 6878.\nAnswer: -894.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d - 7. Let v(m) = 0*m + m + 4*m - 3. Let n(a) = -3*h(a) + 7*v(a). Let z(k) = -2*k. What is n(z(x))?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, 0, -3, -1, -2 in increasing order.\nAnswer: -177, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -22. Suppose 2*i - 23 = -3*s, 5 = 2*i - t*s + 24*s. Solve -14*k + i - 77 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Suppose -2*u + 3 - 7 = p. List the prime factors of (u\/1 - 0) + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*s - 5*s**3 + 3*s**3 + 2*s**2 + s**3 + 0*s**3 to g*s**2 + p*s + m + n*s**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 6*t = 5*t + 1, 3*f + 5*t = -8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.98517 kilograms in milligrams?\nAnswer: 56985170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3404*p*z**2 - 2820*p + z wrt z?\nAnswer: -6808*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -12*c**2 + 4. Let i(d) = d**2 - 1. What is -4*i(f) - z(f)?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5300 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 13*r**2 + r - 12. Let w be z(-12). Suppose 3*l = 7*l - w. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-504)*9)\/(2\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2, -13, -2\/3, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 43. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126399050051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**18)\/(a*a**(2\/47)) assuming a is positive.\nAnswer: a**(844\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4174*a + 5437*a**2 - 7602 + 14948 - 7344 wrt a.\nAnswer: 10874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-33)\/(-2))*(-9)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233.7 - -233.4437. What is w rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23223 + -45?\nAnswer: 23134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(77))\/sqrt(7) - sqrt(11)) + (4*(1 + sqrt(11)))**2.\nAnswer: 30*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 11*w**2 - 18*w + 16. Let k be a(7). Is (4\/(-2))\/(k\/(-124829)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420.3362 meters in millimeters?\nAnswer: 420336.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(495\/12)*((-1188)\/192)\/(-33).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3022702 (base 11) to base 8\nAnswer: -24314224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4823 - -5743. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*c + 66124 + 24282 + 74444. What is the smallest common multiple of 11 and c?\nAnswer: 120890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 4*t - 29. Let k(d) = 3*d**3 + 14*d - 87. Give -6*k(n) + 21*v(n).\nAnswer: 3*n**3 - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14057 - 13985. Which is the closest to 0.1? (a) o (b) -1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 192 and 139939\/732 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, g: 9}. What is prob of picking 2 i and 1 g?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-904)\/(-6) - 1\/(-3). Suppose -5*u - x - 34 = 0, 0 = u + x + 4*x + 26. What is the common denominator of a\/30 + 2\/u and -73\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12347 = 4*f + 45*r, -9*r + 13*r = 2*f - 6412. Calculate the remainder when f is divided by 114.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1089*a**2 - 619*a**2 + 7*a**2.\nAnswer: -1701*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -34937, -34936, -34935?\n\"Answer: i - 34938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115202112 - -10?\nAnswer: 115202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zld when three letters picked without replacement from llldlllzzdl?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21153, 21167, 21131, 21021, 20813, 20483?\n\"Answer: -4*i**3 - i**2 + 45*i + 21113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 11) + (-2 - -2) + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.8 + 7.8. Which is the nearest to t? (a) 34 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 + -105. Suppose 0 = -i*l - 3672 + 16614. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, 1, 2.9, -0.5, -2\/55?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -411 + 416. Suppose 0 = -5*f + j*r + 491 + 4044, -2*r - 2 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohohhohhohsso. What is prob of picking 1 o and 1 s?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-33)\/110*-5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 31890597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:36 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22410333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 28?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 100551?\nAnswer: 100551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 917515 times -0.043?\nAnswer: -39453.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71.3 - -71. What is the nearest to 0 in 2, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**3 + 196*o**2 - 75*o - 279. What is the units digit of d(64)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y - 34. Suppose 2*b + 31 = 47, -4*n - 8 = 3*b. Let c(d) = d - 11. What is n*c(p) + 3*l(p)?\nAnswer: -2*p - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -2*i - 4*b - 2, 17*i + 78 = -5*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 2\/193 (c) -8791\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1509, -1508, -1507, -1506, -1505?\n\"Answer: f - 1510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -37. Let x = -18 + q. Which is greater: x or -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 693 = 39*m - 18*m. Suppose 17*x = m*x - 48. Let u(z) = 3*z**2 - 7. Let a(o) = -1. What is x*u(d) - 21*a(d)?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by 58\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (4 - 6 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 13*x**2 - x + 4. Calculate the remainder when 81 is divided by j(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 7 = 5, 5*s = -4*i + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b*v**3 - 1049163*b*v - 5705514*v**3 + v**2 wrt v?\nAnswer: -36*b - 34233084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2 - 4, -6 = -4*i - 2*f. Let g be (6\/i)\/(1 - 0). Suppose g*d - 6 = 82. What is the highest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - w + 8. Let g be ((w - -4) + -16)\/(-2). Suppose g = b + 3. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 8*b**2 + 8*b**2 - b**3 - 4*b**2 to g*b + h*b**3 + t + u*b**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -169*l + 64*l + 2 + 73*l + 63*l to h*l + t and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -7, 0, -3 in decreasing order.\nAnswer: 0, -3, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -231680 + -120?\nAnswer: -231810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 1 - 3)*(-2 + 1 + 2) + 1 - 2 + 2)*(-6 + 22*u**2 - 3 - 23*u**2).\nAnswer: -3*u**2 - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -24\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 6 + 34 = 5*d, -4*x = -5*d + 37 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000035819 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2137, -4185, -6229, -8269, -10305?\nAnswer: -12337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2 - 5 + 2 + 2 + (4 - 4 + 1)*(4 - 3 + 1) + 0 - 1 + 3 + 0 + 4 - 2)*(0 + 2 - 3)*(p**5 + p**5 + 0*p**5).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3 - 1 = 0. Let p be (-10)\/6*(-2 + 5). Suppose 4*s - 20 = 0, -o + 15 = s + 2*s. Sort k, p, o in decreasing order.\nAnswer: o, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 0*g**2 + 1\/6*g**6 + 0*g**4 + 0*g**5 + g**3 - 6 + 0*g. What is the third derivative of k(w) wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -221, 9, 435, 1075, 1947, 3069, 4459?\n\"Answer: 3*l**3 + 80*l**2 - 31*l - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/91 (b) 22 (c) -1\/3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 24 = 2*s, -4*g + 4*s = 5*s + 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 168\/105*(-2)\/4. What is the smallest value in 5, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -k. Suppose 3*m + 2*x - 20 = k, 4*m + 3*x - 36 = -2*x. Let r(a) = -2*a - 2*a + 0*a + 3*a + 2. What is r(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) - -1*sqrt(88)))*-1)\/sqrt(8).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22148 is divided by 21965.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54449\/150 or 364?\nAnswer: 364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47802411 to the nearest integer?\nAnswer: 6914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -11.31291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 467 - 2. Let h(x) = -x**2 + 15*x - 18. Let q be h(14). Calculate the remainder when s is divided by (-4 - q)\/(-2) - -24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111533 divided by 5.\nAnswer: -111533\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*a + 48*a + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -7\/5 (c) -2\/5 (d) 0.4 (e) -1 (f) 15\/361 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 259243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-28))\/(1071\/(-14994))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/1 - (-1 + 1). Let w = -4 + x. Solve -5*v = 2*d + 15, 3*v - 2*v + 26 = -w*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44026*f**4 - 7*f + 2717.\nAnswer: -528312*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3. Let b be q(1). Let j be (-2)\/2*b + -3. Let k be 0 + 6 + -2 + j. What is the greatest common factor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 10*c**2 - 20*c - 1. Let n be p(2). Sort -5, n, 5 in descending order.\nAnswer: 5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-1443)\/(-182) - 4) + -2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 2. Let d be -2 + (2 - (-12)\/3). Let i be 6*-1*6\/d. Let r(u) = -5*u - 4. What is i*h(w) - 4*r(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -30. Let k(r) = r - 1109. Give 6*d(i) - 2*k(i).\nAnswer: -2*i + 2038","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 15*j**3 - 6*j. Let l(d) = 5*d**3 - 2*d. What is 6*i(u) - 17*l(u)?\nAnswer: 5*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 1060291.\nAnswer: 1060291.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - x - 56 = 64, 180 = 3*o - 4*x. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(15\/(-2)) - 510\/(-714)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1152 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 > 172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3345096*z + 2 - 3345100*z - 4 + 4. Let j(l) = 6*l**2. What is c(j(w))?\nAnswer: -24*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.05 * -1.07.\nAnswer: 4.3335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(10)\/sqrt(5)) - sqrt(22))\/(sqrt(110)\/(sqrt(40)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pll when three letters picked without replacement from ovllpoo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 713 + -489. Suppose -18*o + c = -226. Suppose 17*q = o*q - 19160. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 less than -761074?\nAnswer: -761073.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1237*u*v*x**2 + 44*u*v*x + 3*u*v + 127343*u + x**4 - 1 wrt x.\nAnswer: -2474*u*v*x + 44*u*v + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 244. Let g be u(0). Suppose -5*m = t - 422, 2*t - 784 = 4*m - 2*m. Suppose b = t + g. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-240)\/1650*-10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - u = -5, 2*z - u = 3*u - 4. Let n = 8 + z. Which is smaller: -6 or n?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -12\/5 + 3\/5*q + 3*q**2 = 0.\nAnswer: -1, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -21. Which is the third biggest value? (a) h (b) -3\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -377, -19977, -0.3?\nAnswer: -19977","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10120 (base 3) to base 5\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2.03. Let x = q - -0.23. Suppose -7*u - 6 = -4*u. Which is the third biggest value? (a) u (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.189 - 2053021409910\nAnswer: -2053021409910.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006803 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89? (a) -5 (b) 3.15 (c) 0.5 (d) 0.1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -30*w + 25*w. Solve 3*z = p + p - 18, 0 = w*z - 5*p + 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 121\/(-22))\/((-2)\/(-4))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + -1*sqrt(209)*-5 + (sqrt(209) - 2*sqrt(209)*-2))\/(sqrt(44)\/sqrt(4)*-4 - sqrt(110)\/(-1*sqrt(10) - sqrt(10))))**2.\nAnswer: 9196\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1688905 and 2364467.\nAnswer: 11822335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 1:13 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 12*o**2 - 10*o - 7. Determine j(13).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -799800 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 10*q + 9. Let o be (4 + 34\/(-4))*-6. Suppose u + o = 5*y, -4*u - 4 = -2*y + 14. Is w(y) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 (base 10) to base 14\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 19*v**2 + 32*v + 35. Let g be s(17). Is 4\/15 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -540*j**3 - j**2 - j. Let p be m(-1). Suppose 8*h = 3*h + p. Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210914618 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18400, -36797, -55206, -73633, -92084?\n\"Answer: -a**3 - 18390*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*j - 30*j**3 + 103*j**2 + 1 - 157*j**2 + 54*j**2 to the form m*j + r*j**2 + d + h*j**3 and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-3))\/((-5)\/(30\/4)). Let h = 18 + -9. Which is the closest to h? (a) z (b) 0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -29 + 22. Suppose -h*y - 600 = -19*y. Let u = 54 - y. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 102.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 15*b**2 - 2*b + 11. Calculate i(15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7709*n**3 + 7700*n**3 + 7705*n**3 - 30817*n**3 + 7702*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -2*q + 872 - 947, -6*q - 36 = -5*q - 3*p for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9613 - c**2 - 1111 + 38*c - 35*c + 2*c**2.\nAnswer: c**2 + 3*c + 8502","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p + p)*(3 + 2 - 4) - 872*p + 317*p + 401*p.\nAnswer: -153*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4940\/(-38) - (-67142)\/531\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2676, 2477, 1940, 897, -820?\nAnswer: -3379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(-2)\/4*1. Suppose -33 - z = -2*p. Suppose 0*c = -2*c - 2*a + p, -a = 4*c - 30. Which is greater: 6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - 0\/((-9)\/3))*-66 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qhqqhqhqhq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/3 + 34250*v**4\/3 - 1097380*v**3\/3 + 3819460*v**2 - 14273610*v + 17397198 = 0. What is v?\nAnswer: -17157, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886660.\nAnswer: 2, 5, 43, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4363177 divided by 25?\nAnswer: -4363177\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*z + 17. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196853 + 196796 = x - 3*x - 5*r, 3*r = 4*x - 75 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(32) - 1*(-1 + sqrt(32))**2) + ((sqrt(12) - sqrt(12)*1)\/sqrt(3))\/(sqrt(4)\/sqrt(2)*-6)*-6.\nAnswer: -36 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2))\/((-1)\/2). Suppose 145*w - 21 = -2*l + 140*w, 5*l = 5*w. Sort -5, 4, r, l in increasing order.\nAnswer: -5, r, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 511 - 6*b**4 + 28*b**4 + 2*b - 509 + 6*b**2 in the form k*b**4 + p*b**2 + u + z*b**3 + q*b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 138, 0, -2, 3, -16, 4 in ascending order.\nAnswer: -16, -2, -1, 0, 3, 4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -5779246.511 to the nearest one thousand.\nAnswer: -5779000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3879 is divided by 954.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-10 + (13 - 5))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-12)*2*14\/(-77)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6208216.6 rounded to the nearest ten thousand?\nAnswer: 6210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43928, 175664, 395216, 702578, 1097744, 1580708, 2151464, 2810006?\n\"Answer: -b**3 + 43914*b**2 + b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/80*3)\/(11*(-9)\/(-792)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**3 - 5*p**2 - 3*p - 4. Let o be t(-4). Let q = o + -167. Factor -121*l**2 + 14*l + 108*l**5 + 17*l**2 - 351*l**4 + q*l**4 + 2*l + 252*l**3.\nAnswer: 2*l*(2*l - 1)*(3*l - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44049 and -12.156?\nAnswer: 535459.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*y + 41 - 166, 2*y = -n - 43. Let p be 142\/7 + 10\/n. Suppose -25 = -2*t + 3*b, -3*t + 2*b = b - p. Which is greater: t or 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 4 + (-9 - 6) + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 11:13 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -62?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1243541 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-12)*(-1 + 0 - -23). Let l(j) = 3*j**2 - 18*j + 6. Let o be l(5). Do o and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-90))\/(2\/(-6))*-3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51.7 + -55. Let u = g - -3.30000189. Round u to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 5*y**2 + 2*y + 4. Let d(q) = -2*q**3 - 11*q**2 + 2*q + 7. Let s(n) = -5*c(n) + 2*d(n). Let v be 8\/6*(2 - 5). What is s(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/18 and 23\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 2*v**2 - v - 26. Let z be f(-4). Suppose 3*n - i = 8, z*i - 5*i - 4 = 4*n. Solve 0 = 3*y - n*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3339668436892.1000053 + 3339683727044. Let a = m + -15290151. Let x = a - 0.9. What is x rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(x - x - 2*x) + (-x + 2*x + 0*x)*(0 - 3 + 4))*(-2 + x + 2) - 30*x**2 + 16*x**2 - 7*x**2.\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 + 10\/3. Let n(d) = -597*d**2 - 12*d - 4 - d**3 + 601*d**2 + 12*d. Calculate n(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 4*x = -66. Suppose -18 = 2*j + m, -3*m - 14 = -2*j + 3*j. Let u(a) = -a**2 - 9*a - 2. What is the remainder when x is divided by u(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let h = -0.2 - 5. Let s = h - -5. Which is the second biggest value? (a) 4 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1864346 = 7564346. What is b rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 6\/(-4)*420\/(-126)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*k + 48, -3*f - 2*f + 2*k + 91 = 0. What is the remainder when 51 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 3:37 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -627 + 645. Let r be (-11)\/((-33)\/k) - (-9 + 4). Let d(z) = -z**2 + 13*z - 9. Calculate d(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6753\/505 < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k**2 - 6*k + 6. Let g(s) = 13*s**2 - 7 - 2 - 2 + 11*s. Suppose 5*l = -5*c + 6*l + 68, 3*l - 17 = -2*c. Let u = 24 - c. Give u*z(v) + 6*g(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - y + 4*y = 8, 4*h - 2*y - 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4791298 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -2*r + 1\/12*r**4 + r**2 + 0*r**3 + 0. What is the units digit of d(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*w - 42*w - 62 - 944 - 209 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7. Let v be 1 - (4 - -3) - -5. Let g(q) = -2. Let c(n) = v*h(n) - 4*g(n). Let u(k) = 4*k**2 + 3. Calculate -4*c(w) + u(w).\nAnswer: 4*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46316530044 - 5?\nAnswer: -46316530052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/18 and 157\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 134?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 378.093293 rounded to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-1 + -1) + 9. Suppose -2 = -3*p + m. Suppose f = 2*f + p*n - 68, f - 4*n - 44 = 0. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1042 = 2*a - 3856, -3*x = 6. What is the lowest common multiple of 12 and a?\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 3*h**3 + 3*h**3)*((6*h - 4*h + 0*h)*(-1 + 4 - 1) + 3 - 3 + h + 2 - 2 - 3*h).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.0619, 0, -3\/2, -5, -484, -0.03?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 45, -2\/25, -3, 2\/25, -28?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 7:49 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 23204?\nAnswer: 23201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 t when four letters picked without replacement from btnnntnnnntbttbh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 5320?\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331933?\nAnswer: 17, 47, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2276005324.\nAnswer: 2, 3049, 186619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 324*w - 23065. Calculate the lowest common multiple of l(-107) and 6314.\nAnswer: 6314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 16 - 73 - 177 + 0*i**3 + 7 to f*i**3 + z*i**2 + b*i + j and give j.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13983033, -13983034, -13983035, -13983036?\n\"Answer: -n - 13983032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -56. Let n = 4 + q. Suppose 0 = 3*f - n*f + 9. Solve 2*s - x = 2*x - 9, f*s + 3*x + 6 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 11:44 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102273.0000073321 + 102273. What is d rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2519935442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccchcccccc. Give prob of picking 3 c and 1 h.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/609, 1\/37, -0.4, -1\/7 in decreasing order.\nAnswer: 1\/37, -1\/609, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 + 129519*y**2 - 16775171361*y\/2.\nAnswer: -y*(y - 129519)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 853.7858 weeks to microseconds.\nAnswer: 516369651840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*v + 18, 0 = -n + 2*v + 4 + 2. Let m = -2 + 7. Let u(j) = -j**2 + 5*j - 1. Let z be u(5). What is the third smallest value in m, n, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 2\/47, -6, 0.5?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 + -76.0356\nAnswer: -76.0656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/52*(-880)\/(-132)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18296\/15 - 1219. Let g = 43\/45 - f. Let c = 0.02 - -0.38. What is the second biggest value in 1, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37001 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 10577\/2*q**3 + 975*q**4 - 9\/2*q**5 + 8743*q**2 + 1332 + 5766*q = 0.\nAnswer: -3, -1, -2\/3, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6 + 0)*(-19)\/((-7695)\/(-252)) and 514\/(-60) + ((-34)\/30 - -1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 106*b - 4423. What is u(125)?\nAnswer: -2048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*l**2 - 3*f*l*n**3 - 2*f*l - 6*l**2 - 15*l*n**3 + 2*n**3 wrt f.\nAnswer: 2*l**2 - 3*l*n**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 4*g + 8. Give c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) - -5*(-2*sqrt(171) - sqrt(171) - sqrt(171))))\/(sqrt(36)\/sqrt(4)*5)*3.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aapaaaaap. Give prob of picking 2 p.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7370*q + 110572. What is w(-15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/88*(-8)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*t + 1 + 22 = 0, -r - 4*t + 24 = 0. Suppose 2*b = 2*h + 6, -h - r = -0. Let j be (b - -2)\/(-4) + 220\/(-16). Is j less than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 - -78. Let x = 832 + y. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 15*z + 10.\nAnswer: -5*(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 691*d + 10412. Let g be n(-15). Solve -249 - g = -37*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (40\/25)\/((-4)\/(-10)). Let d be (18\/(-5))\/(s\/(-10)). What is the units digit of 2*d\/2 - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*r - 0*w - 9, -11 = 2*r + w. Let i(n) = n**2 + 2*n + 2. Let v be i(r). Solve 15 = -v*q + 2*l, -3*q - 18 = -2*l - l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*d**2 - 284*d**2 + 162*d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*a - 7540000 = 51*a. Round a to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/589 in -0.66, 1\/6, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6)\/((-4)\/12). Let q(r) = r**3 + 18*r**2 + 6*r - 178. Let a be q(-17). Sort 3, a, u, 5 in decreasing order.\nAnswer: a, 5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1333457 + -40?\nAnswer: -1333517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7524 - 12767?\nAnswer: -22513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -48*h**2. Let b(k) = -6*k. What is s(b(f))?\nAnswer: -1728*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.092347804 to four dps.\nAnswer: -0.0923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67\/2 - -611\/18. Find the common denominator of y and ((-296)\/(-54))\/(12\/18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 + -1)*(-35 - -30) - -7894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7))\/(((-36)\/105)\/4)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 37*c**2 + 8*c + 319. Is 19 a factor of x(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/14*12\/(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 3*f + 2 - 2 + f.\nAnswer: 4*f + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 64d5 + 173?\nAnswer: 6668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 5113?\nAnswer: 5108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k. Let n(y) = -3*y**2 - 118*y. Determine n(a(i)).\nAnswer: -192*i**2 - 944*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/4186638 and 14\/195.\nAnswer: 272131470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*a - 6*a + 38 = 0, -2*m + 2*a + 4 = 0. Let q(v) = -2*v + m*v - 4*v - 2*v. Let c(w) be the second derivative of -w**3\/6 + w. Determine c(q(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11535 - 11534.8. Which is the nearest to -65? (a) 0.5 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j + j)*(-25*j + 5 - 6 - 34*j) + (-2 + 2*j + 2)*(-4*j + 0*j + 2*j) + 0*j**2 - 2*j**2 + 0*j**2 + 0*j**2 + 2*j**2 + 0*j**2.\nAnswer: -181*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180)*5 - ((sqrt(180) - 1*sqrt(180)) + 5)) + 0 + sqrt(180)*-2 + sqrt(180) + 2 + sqrt(180) + -2)**2.\nAnswer: -300*sqrt(5) + 4525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 9*y + 12. Let f(w) = 4*w**2 - 38*w - 57. Let k(b) = 2*f(b) + 9*v(b). Suppose -5*u = -h - h + 28, 2*h + 4 = -3*u. Determine k(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 3*c + 3*c)*(-70 - 123 + 54) in the form m*c + r and give m.\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 7*x**4\/2 - 2*x**3 + 5*x**2\/2 + 8*x - 29. Let w(r) = -9*r**3 + 4*r**2 - 3*r - 5. Determine 8*w(f) + 5*z(f).\nAnswer: -2*f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*y + 2302, 1722 = 3*y - 6*y - 3*r. Let s be y + 4\/8*2. What is the tens digit of 20\/(-110) + s\/(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**3\/3 + 5*i**2 - 6*i + 1. Let s be n(8). Suppose 0 = m - 5*m. Solve 5*a = 2*v - s, 4*a + m*a = 3*v - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-439)\/1756)\/(2\/(-159352))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-23)*s)\/s**(-3))\/(((s*s*s\/((s\/s**(-21))\/s))\/s)\/s)**(38\/7) assuming s is positive.\nAnswer: s**(627\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17819066?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-21) + (-500)\/(-35). Let x be (0 + 0)*(-7)\/j. Solve u = -x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19092*v - 7306*v = -471440 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3 - -3) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -6) + (-2 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {i: 2, q: 6, o: 1, k: 2}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, r: 8}. Give prob of sequence ttrt.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**4*h*h*((h\/h**(-1\/10))\/h*h)\/h*(h**(4\/9)*h)**(-2\/59) assuming h is positive.\nAnswer: h**(-5039\/5310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 410 = 7*b. What is the remainder when b is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4860 and 2178009?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44.1306 + 0.0306. Let h = s - -44. Which is the smallest value? (a) 0 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3790*n**6 - 22*n**2 - 31*n.\nAnswer: 454800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 2781*a**2 + 37002*a - 321480.\nAnswer: -3*(a - 940)*(a - 6)*(a + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/150, -3, -4, 4\/5, 0.7, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + z**2 + 1. Let p(m) = -3*m**2 - 4. Let j(a) = 3*f(a) + p(a). Let l(t) = -7*t**2 + 2*t**3 - t - 3*t**3 - 4 + 2*t**2. Let y be l(-5). Give j(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**6\/120 + 7*d**5\/60 + 5*d**4\/8 - 2*d**3\/3 + 6*d**2 + 2. Let v be w(8). What is the greatest common factor of v and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -261*d**2*u**4 + 30*d**2*u + 4*d**2 wrt u.\nAnswer: -3132*d**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 1943211\nAnswer: -14\/1943211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 28c?\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**6\/2 - 25*v**4\/12 + 82*v**3\/3 + 425*v. Find the second derivative of s(y) wrt y.\nAnswer: -180*y**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.02 (b) -77 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41905.\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.9 (b) 0.3 (c) 0.1 (d) 2445\/2 (e) 1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10649, -10763, -10881, -11003, -11129, -11259, -11393?\nAnswer: -11531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 367*z**3 + 10*z**3 + 845*z**3 - 203 - 108 wrt z.\nAnswer: 3666*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3916958, 9, -4 in decreasing order.\nAnswer: 9, -4, -3916958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -14*p**2 + 10*p + 12. Let m(i) be the third derivative of i**5\/60 - i**4\/24 + i**2 + 241*i. Determine 12*m(n) + z(n).\nAnswer: -2*n**2 - 2*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0*m - c - 23, 3 = -c. Suppose 0*f = -f + 29. Calculate the remainder when f is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -163 - 1?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8203541 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-10)\/a*a*a**(-5))**(-12))**40)**(-24) assuming a is positive.\nAnswer: a**(-161280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 0 - 8*f**2 - 1\/210*f**5 - 1\/84*f**4 + 0*f + 0*f**3. Factor c(h).\nAnswer: -2*h*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29558.80649 - -29559. What is d rounded to 3 dps?\nAnswer: 0.194","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*s**3 - 2*s + 2*s**4 + 25*s**3 - 4*s**2 - 2691 + 2694 as x*s**3 + z*s**4 + q*s + g + k*s**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20043009.54999903 - 20043010. Let u = -8 - -8.45. Let t = i + u. Round t to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2. Let o = 0 + -2. Let a = 5 + o. Let i(g) = -g + a*g - g. Determine f(i(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -35*j - 56. Let q be k(6). Let y = q - -284. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w**3 + 58*w**2 - 4*w + 7. Give c(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(3\/(-1)))\/((-1232)\/672).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 725 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296684.2 minutes to milliseconds.\nAnswer: 17801052000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4941497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*d + 21. Let f(a) = a**3 - 5*a**2 - 7*a - 2. What are the prime factors of f(d)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9867 + 9865. Suppose 0 = 4*m - 5*m + 5. Which is the smallest value? (a) -4 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1700) - 2*sqrt(1700)))**2 - sqrt(170)\/(sqrt(50)\/(sqrt(5)*1)).\nAnswer: -sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12581 - -14367. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5445345, -10890687, -16336029, -21781371?\n\"Answer: -5445342*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 93 + 5 - 38*c + 36*c to the form u + h*c and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 95\/10 + (0 - (-2)\/4). Let v(u) = 2*u**2 - 4*u - 1. Let j be -1*(0 - 1) - -3. Let s be v(j). Calculate the highest common factor of x and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1426 and 53\/35929.\nAnswer: 1652734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*y + 4*m + 14, -y + 3*m + 6 = 0. What is the hundreds digit of ((-1665)\/10 - 3)*(y + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i - 108. Let z be b(-14). Suppose -3*c + 30 - 1 = -2*d, 15 = 3*c. Is z greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25\/7, -25, 1\/64570 in descending order.\nAnswer: 1\/64570, -25\/7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i - 105. Let m be w(-19). Suppose -114 + 24 = -5*l. Let g = m + l. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50*l**2 - 23*l**2 - 13*l**2)*(1 - 2 - 1 + (-1 + 4 - 1)*(-3 + 3 - 2)) + 4*l**2 + 2*l**2 - 4*l**2 in the form h*l**2 + i + s*l and give h.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 96579, 96657, 96781, 96945, 97143?\n\"Answer: -u**3 + 29*u**2 - 2*u + 96553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-169)\/(-78) - (-2 - 0)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(3\/4))**(34\/9))**(-45))**(-12) assuming s is positive.\nAnswer: s**510","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6152 and 9?\nAnswer: 55368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Let n = -0.252 - -4.272. Let y = 0.02 - n. Which is the closest to 1? (a) y (b) 3\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 90 = -5*h, 4*o - 66 = -3*h + 8. Let s(b) = -54*b. What is the remainder when s(-1) is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**14)**(-3\/2) assuming d is positive.\nAnswer: d**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-24))**(26\/5)*f**(5\/4)*f**(-11) assuming f is positive.\nAnswer: f**(481\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 487, 970, 1453, 1936?\nAnswer: 2419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -25*s**2. Let c(d) = -5*d + 2*d + 4*d. Calculate c(a(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 7. Let v(t) = 15*t**3 + 540*t**2 + t + 39. Let l be v(-36). Give s(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*u + j - 38, 0 = -5*u + 5*j - 115. Let q = 30 + u. Solve -q*m - 16 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -87372021.\nAnswer: 26211606.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 15*f**2 - 5*f - 63. Let t = -15 + 96. Calculate the remainder when t is divided by n(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*k - 82*k - 30. What is the nearest to -10 in -2\/17, 4, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3648)\/36 - 1\/(-3). Let b = -48 - f. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 39501 (b) -0.6 (c) -6 (d) -5 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16675541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-1))\/((-6)\/12). Suppose 3*p + 6425978 = -y*l, 4*p - l + 2077157 + 6490821 = 0. Let r be p\/21 + 2\/(-7). Round r to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 24444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 14 + 21*h + 66*h**3 - 8*h - 46*h.\nAnswer: 66*h**3 - 37*h - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -5) + (-3 - -9) + (-25 - -37).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 92583.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 2*p**2. Let w(a) = -159*a**4 + 2*a**3 + 4*a**2 + 23*a - 2. Let f(o) = 2*l(o) - w(o). What is the second derivative of f(m) wrt m?\nAnswer: 1908*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m - 4. Let a(k) = -k**3 - 7*k**2 + k + 1. Let i be a(-7). Let b(p) = -9 - 7*p + 4*p - 6*p. Calculate i*b(s) + 13*r(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 4. Let s be h(6). Let m(v) = 3*v + 2. Let f(j) = -4*j - 3. Let z(y) = s*f(y) + 3*m(y). Let g(r) = 0*r + 0*r - r**2. What is z(g(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7931, 31482, 70733, 125684, 196335, 282686, 384737?\nAnswer: 502488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22643, 45300, 67953, 90602, 113247?\nAnswer: 135888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 210481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**4\/6 + 4*y**3\/3 + 14*y. Let c(k) = 0. What is k?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-105)*(-231)\/(-9)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 1. Let z(a) = 16638*a - 1 - 2 - 16630*a. Determine -10*n(t) - 2*z(t).\nAnswer: -6*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 - 18*g + 96. Determine l(11).\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13024777607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.241 * 206900\nAnswer: -256762.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f**3 + 1 + 2*f**3 - 6*f**3 + 0 wrt f?\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c8 (base 14) to base 11.\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 11:19 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.3397 + -0.3397. Put 2, -5, v, -6\/11, 4 in ascending order.\nAnswer: -5, -6\/11, 2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a18 + 30392?\nAnswer: 2b576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 + 5*a + 2. Let n be i(4). Is (-3870)\/n - 4\/(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 1*-9) + 0. Let m = -4 + s. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120840 divided by -380?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 776892*n**2*s**4 - 10*n**2*s + 10*n**2 - 729*n*s - 213*s**4 + 86*s - 2 wrt s?\nAnswer: 9322704*n**2*s**2 - 2556*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 33. Let q = 34 - p. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/10)\/((-1380)\/13800).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 2, o: 2, n: 6}. Give prob of sequence kn.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-5) - -4*1. Suppose -231 = -3*d + 4*w, i*w - 4*w + 308 = 4*d. Suppose r - d = 8*r. Put 2, r, 0 in increasing order.\nAnswer: r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 6 + 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 2*m**2 - 9*m**2)*(-10*m**2 - 17*m**2 - 3*m**2).\nAnswer: 210*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2240 and 9022405?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -356801, -357193, -357597, -358019, -358465?\nAnswer: -358941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 12 + -47 + 21?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -136283, -135949, -135613, -135275, -134935, -134593?\n\"Answer: l**2 + 331*l - 136615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -5*v + 35, -18 - 38 + 24 = -3*v + 4*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 3*r**2 - r. Suppose -o - 3 = -5. Let h(k) = 2*k**3 - 2*k**2 + 2*k. Let l(w) = o*y(w) + 3*h(w). What is the second derivative of l(q) wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 2264396.\nAnswer: 2264396","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 55, 104, 151, 196?\n\"Answer: -q**2 + 54*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-770)\/(-539) + 1950\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2583)\/(-3321) - 960\/1026.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2158 and 7007524.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z**2 + 54*z + 284. What is n(-5)?\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*p + f, 0*p - 2*f = -2*p. Calculate the common denominator of p\/(-12)*-3 - (-26)\/28 and 15\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-108) - ((-4)\/(-42) - (-79195)\/(-296100))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/(-12))\/532*4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*70.705\nAnswer: -141.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 19318?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1791868*q**2 - 59*q - 641732011 wrt q?\nAnswer: -3583736*q - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 240 (base 10) to base 3\nAnswer: 22220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avjaavdevjv. Give prob of picking 1 j and 1 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(17) - (sqrt(2448) + -1))*-6.\nAnswer: -18 + 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-650)\/(-20))\/(45\/108). Suppose 2*n = 5*n - 195. Let f = m - n. Solve -f + 4 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 183\/2, -2, 355\/2 in increasing order.\nAnswer: -2, 183\/2, 355\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 26 + 3. What is the greatest common divisor of 29 and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1293.5 - -1300.5. What is the closest to -2 in -5, -2\/17, i?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - 1*sqrt(468)*1 - (0 + sqrt(468) + 3*sqrt(468)))**2 + 1.\nAnswer: 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:49 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 5. Let b be q(0). Let v(h) = 2*h - 5. Let p(u) = -u + 4. What is b*v(t) - 6*p(t)?\nAnswer: -4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:50 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208632 and 888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22786, -22857, -22930, -23005, -23082?\n\"Answer: -f**2 - 68*f - 22717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 + 6*i + 8. List the prime factors of r(-5).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2 - 22*f - 27. What is h(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 2*m**2 - 2*m**2)*(m - 2*m**3 - m) + 2*m**5 + m**5 - m**5 - 13*m**2 + 2*m**5 - 4*m**5 + 7*m**2 - m.\nAnswer: 4*m**5 - 6*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 1144285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 960\/165 + 4\/22. Let v = b - -6. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.2, -50\/17, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*v + 1. Let k = -1054 - -1054.8. What is the second smallest value in k, v, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 6) in base 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 + 54 - (38 - 36).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8330 and 6902.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -3*p. Let d(w) = -332993*w**2 + 4*w + 4. Let o be d(p). Let s = o + 496921. Round s to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 12 + -19 - -23\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 - 5*i**2 - i - 6. Let m(p) = 2 - 8 + 4*p**3 + 0*p**2 - 5*p**2. Let a(z) = -2*m(z) + 3*y(z). What are the prime factors of a(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.42199 litres in millilitres?\nAnswer: 31421.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 7:25 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -8*k + 18. Suppose -k + 0 = -3*r. Sort 2, r, 0 in decreasing order.\nAnswer: 2, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12\/5, 0.3, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 9*f - 6. Let s be x(9). Let n(a) = a**3 - 39*a + 1. Does 10 divide n(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, -5.1, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 736*y - 2*y**2 - 19 - 765*y + 16 in the form s*y + a + j*y**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24507197 is divided by 2866?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 12 = u, -5*u + 8*d - 3*d + 20 = 0. Let a be u - (1 + 1) - -4. Solve 3*y - 12 = 3*i, 0*y - 3*y + 2 = a*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000069476837 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593024193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2025*v**3 - 32*v**4 + 2025*v**3)*(-1 - 3 + 3).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375327.\nAnswer: 3, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**5\/180 + 8*m**4\/9 + 1610*m**2. Find u such that s(u) = 0.\nAnswer: -64, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 - 3*c - 9. Let s(w) = -31*w**2 - 30*w - 94. Let x(l) = -42*k(l) + 4*s(l). Let r(y) = -2*y**2 - 6*y - 3. Determine -2*r(o) - 3*x(o).\nAnswer: -2*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/124, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 533 + -317. Suppose 0*t + h = 4*t. Suppose 7*c - t = 4*c. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 274 = -5*k, -a + 5*a - 200 = -4*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 596*m*o**2 - 419*m*o + 455096*m + o**2 - 1 wrt o.\nAnswer: 1192*m*o - 419*m + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2) + 10)\/(5052\/113670 - (-184)\/(-90)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 167140*v**2 + 501455*v - 334310.\nAnswer: -5*(v - 2)*(v - 1)*(v + 33431)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 - -3074865496389?\nAnswer: 3074865496387.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-24)\/(-84) - (-7635)\/7 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 0 + -2 - 7. Let b(t) be the second derivative of -t**5\/20 - t**4\/3 - t**3\/2 - 3*t**2\/2 - t. Is b(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120254 (base 13) to base 8\nAnswer: -1505426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5333 - 472572?\nAnswer: -465237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -24. Suppose -4*o = -0*o. Solve o = s*i + 5*h - h + 10, -i + 4*h = -7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18443*b**4 + 4*b + 64?\nAnswer: -221316*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 18, 70, 174, 348, 610, 978, 1470?\n\"Answer: 3*r**3 - r**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-4)\/10 + 864\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2678226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 171*w - 12. Let b be h(3). Suppose 0 = -7*t - 25 + b. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(22)\/(sqrt(10)\/sqrt(5)*-6) + 3*sqrt(11)*3*5.\nAnswer: 3 + 269*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 207*h**2 + 6921*h - 1478. Determine x(-165).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -872417 divided by -91\nAnswer: 9587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*b**4 + 9*b**3 - 21*b + 0*b**4 - 27*b - 23*b**5 - 125*b wrt b.\nAnswer: -460*b**3 + 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209914 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/392 and -89\/355054?\nAnswer: 1420216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 + -51. What is the smallest common multiple of n and 46?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1144 is divided by 280.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -269, -399, -531, -665, -801, -939, -1079?\n\"Answer: -d**2 - 127*d - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 26851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g + 0*g)*(-4 + 5 + 3) + (-2 + 2 - 1)*(10*g - 4*g + 14*g).\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 2064.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2296 - -0.1296. What is the third smallest value in -0.4, 0.4, 2\/11, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -781 + 6323. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(243)*1)**2 + (sqrt(243) + -1)**2*4.\nAnswer: -72*sqrt(3) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -401*y + 366. What is r(1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/56194 and -30\/23.\nAnswer: 1292462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10774, -21538, -32286, -43012, -53710?\n\"Answer: k**3 + 2*k**2 - 10777*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 68, 417, 1158, 2417, 4320, 6993?\nAnswer: 10562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 510 divided by 5\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2))**(-23)\/(x\/x**10*x*x**(10\/7)))**22 assuming x is positive.\nAnswer: x**(2783\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3050 - -4924.5. What is y rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17760.9984 - -17778. Let l = 17 - x. Round l to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)*l**(2\/11))\/(l**1)**(-21))**(33\/7) assuming l is positive.\nAnswer: l**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/(340\/45 + -8). Sort 2, 2\/9, y, 3\/2 in decreasing order.\nAnswer: 2, 3\/2, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3.6. Let h = 181 + -184. Let z be h + (-18)\/8 - 20\/(-16). Which is the smallest value? (a) p (b) z (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 4*c**2 + 8*c + 4. Give z(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -53. Suppose 2*d + a - 16 = -0*d, 0 = a + 4. What is the greatest common divisor of d and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141230 + 334?\nAnswer: -140341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (24\/(-18))\/((668164\/334086 - 6) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 57*k**3 - k**2 + 3*k**2.\nAnswer: -57*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Suppose 5*t = t. Let m = t + 5. Let q(i) = 2*i. Determine m*z(b) - 3*q(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-18))\/((-154)\/132).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 52*o - 42. Give d(6).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(567)*2 - (sqrt(567) - 1*sqrt(567)*-2))**2*-5 + 5 + 5.\nAnswer: -138905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4 + 172362*y**3 - 1034244*y**2 + 2068536*y - 1379040 = 0 for y.\nAnswer: -57460, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - s**2 - s + 1. Let c(k) = -k**2 + 4*k - 11 + 19*k**3 - 16*k**3 - k**2 - 2*k**2. Let m(i) = -c(i) - 2*f(i). Calculate m(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15272.08 - -14981. Let j = -286 - m. Let d = j - 0.08. Put -4, d, -0.2 in ascending order.\nAnswer: -4, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 409220 and 58460.\nAnswer: 409220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 497 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 + 308 = -2*n - 311. What is the second smallest value in 6, 1\/4, 0.4, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from efereeeeeeeeeei.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (29\/377)\/((17\/884)\/((-62)\/(-8)))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/((-2652)\/(-153)))\/(((-99)\/(-8))\/(-11)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 5. Let o be 2\/f + 4\/6. Let w = 0.3 + -1.3. What is the third smallest value in o, w, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -445 (base 7) in base 8?\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + q**3 - 7*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 1 + 0*u - u)*(4*u**2 - 4*u**2 + u**3) - 2*u**4 - 2*u**4 + 3*u**4 + (u**3 - u**3 + u**3)*(-u + 1 - 1).\nAnswer: -4*u**4 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5490 = 10*c - 1510. Is c a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487751220 a multiple of 1111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 6692340?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*r + 6 = -14, -r + 5 = 0. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/174)\/((2\/1)\/((-2220)\/185)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9\/3 - (-5)\/(15\/18) and ((-1)\/(-3))\/((-1)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2331 - 369 = -25*m. Calculate the least common multiple of m and 294.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (1 - (2 - 3)). Suppose -m*w = 2*w - 24. Solve 0 = -l + 1, 14 = -3*c + 5*l + w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -47312 and -9.\nAnswer: -47321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x - 100. Calculate p(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1075*q + 5750 - 36925 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427828*z**3 - 37 + 38 + 414504*z**3.\nAnswer: -13324*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 216340169?\nAnswer: 216340170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 7\/24*h**4 + 0 - 1\/10*h**5 + 13*h**2 + 1\/120*h**6 - 5\/6*h**3 + 0*h. Calculate u(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(128)*-2)**2.\nAnswer: 96*sqrt(2) + 521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714033499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z. Let x(b) = -321*b**2. Give x(v(m)).\nAnswer: -1284*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -27) + 5 + 0 - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23\/(1242\/1056) - (-4)\/9. What is the units digit of 30\/c*(-16)\/(-6) - -2063?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 12. Is (141\/(-6))\/((-1)\/s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -107 - -1664646?\nAnswer: 1664538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shsj when four letters picked without replacement from {h: 4, s: 2, j: 5}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3570996 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 434.\nAnswer: -11\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496368?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3019651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.06194 - 2.28116. Let k = -4.04 + b. Let d = 0.26 + k. What is d rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 2)\/(3\/(-30)). Suppose -v + 54 = 2*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from pyxepapaxppxyxp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 24*o**2 + 14*o - 335. Give u(-23).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 63\/5. Which is the closest to t? (a) -3 (b) 0.4 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 1:26 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 p, and 1 x when three letters picked without replacement from oklpxxj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2765249, 11059407, 24882997, 44236013, 69118449, 99530299, 135471557?\n\"Answer: -u**3 + 2764722*u**2 - u + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 2?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 - -362. Let p = 179831\/787 + -3\/1574. Which is bigger: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**4\/12 + 2*c**3 - 7*c**2\/2 - 8*c. Let u be b(11). Put -1, u, -3 in ascending order.\nAnswer: -3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 10*q + 10. Let s be y(8). Let u(n) be the second derivative of n**4\/12 + n**3 - n**2\/2 + 15*n. Calculate u(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379275.\nAnswer: 3, 5, 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/27*-1*(-9)\/(-8)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584 + 129 = 5*b. Let g = b + 96. Solve -g*n + 3 = -6*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/84*1\/(-13)*3\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 9:16 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 3. Let q be b(5). Let n(r) = r**2 - 6*r - 3. Let z be 7 + (0 + -1)*2 + 0. Let f be n(z). Is q >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 36*r**5 + 19*r**4 - 150*r**3 - 76*r**2 + 24*r = 0.\nAnswer: -2, -3\/4, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115 - -113. Put j, 1, -1\/4 in decreasing order.\nAnswer: 1, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-1) - (-202 + 205)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 28 - -3)*1. Let v = 22 - x. Let p(h) = -h - 1. Let k be p(v). Solve -4*g + k*y + 37 = 0, -5*g + 2 = 2*y - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -74, -6, 110, 274, 486?\n\"Answer: 24*x**2 - 4*x - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.015 - -250998873.666.\nAnswer: 250998873.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 - 3 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 275.686 + -276. What is d rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j**2 + 9*j - 6. Let h(b) = 9*b**2 - 10*b + 7. Calculate 6*h(a) + 7*s(a).\nAnswer: -2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 6 = s. Suppose -2*y**2 + 0*y + s*y - 8*y + 4 = 0. Calculate y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146786907*i**3 + 55*i + 87304?\nAnswer: -880721442*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -101*n + 308. Let o be f(28). What is o rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4491 + 4495. Solve -5*j = -r*c - 8 + 4, 4*c = j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15e1 - 55?\nAnswer: -1636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -292, -1 in decreasing order.\nAnswer: 2, -1, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a*b**2 - a*b - 414*a + 4*b**4 + 17003*b**2 + 25101 wrt b.\nAnswer: -6*a*b - a + 16*b**3 + 34006*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, -54, 3, 2 in ascending order.\nAnswer: -54, 5\/6, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/13, -35, 5, -5, -5.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 24 = 24. Suppose q = 20*c - 28*c + 16. Solve c*r + 0 - 1 = -v, r + 4*v + 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -473*m + 71. Is f(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 6. Let b(t) = 495*t - 28. Determine -b(g) - 5*z(g).\nAnswer: -500*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 3)\/((-4)\/(-16)) - 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1445?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1, 0.064, -3\/4, -18\/55?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -521*a*n**2 - 14*a*n - 3*n**2 + 5*n - 22 wrt a.\nAnswer: -521*n**2 - 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -7) + -21 + 5. Let z be ((-16)\/h)\/(1\/(-6)*-4). Let p be (-1)\/(1\/((-2)\/z)). Let r(q) = -8*q + 1. Give r(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50+-0.1\nAnswer: -50.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 - 79947*z - 1757879. Determine i(-22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11166338371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**0*a*a**(-20)*(a\/(a*a\/a**(1\/4)*a)*a)\/a*a*a*a**(-6) assuming a is positive.\nAnswer: a**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3721175 is divided by 195845.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - s**2 - s - 2. Let a(l) = -l**2 + 2*l + 1. Let x be a(3). Let k be n(x). Solve z - 13 = 5*p, -k*p - 2*z + z = 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, 21, -258, -2 in ascending order.\nAnswer: -258, -189, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1884\/2355)\/((6\/3)\/(-2)*(-2)\/14).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 - 30?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 230287792?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - c**3 - 6*c**3 - 56106 - 3*c**3.\nAnswer: -11*c**3 - 56106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1486515557?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f. Let l(g) = g. Let y(p) = -3*j(p) - 2*l(p). Let c(h) = h**2. What is c(y(r))?\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/13, 4, 7\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - -1)\/(52\/(-4) - -15). Suppose -1\/2*s**p + 0 - 1\/2*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-29)\/(-65) - 14\/(-91))*35?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.296 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -15869*x. Let u(g) = -33*g**2 - 30. Let q(t) = 40*t**2 + 36. Let h(a) = 5*q(a) + 6*u(a). Determine n(h(p)).\nAnswer: -31738*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 350 + -1?\nAnswer: 34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 0*f - 4*f + (2*f - f + 0*f)*(3 + 1 - 2) + 749*f - 2003*f + 719*f as u + w*f and give w.\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, -5503, -4, 5, 62 in ascending order.\nAnswer: -5503, -11, -4, -3, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6212, 6204, 6192, 6176?\n\"Answer: -2*c**2 - 2*c + 6216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130297260?\nAnswer: 2, 3, 5, 2171621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2833, 2594, 2343, 2074, 1781?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 96258727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 22000?\nAnswer: 21222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41, -376, -937, -1724?\n\"Answer: -113*v**2 + 4*v + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2533524 plus -3?\nAnswer: 0.2533524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1029\/(-504)*-4*(-8)\/(-14). Factor 16\/3*u + b - 26\/3*u**2 - 4\/3*u**3.\nAnswer: -2*(u - 1)*(u + 7)*(2*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/12*3)\/((-49)\/(-56))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672144.\nAnswer: 2, 41, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 10*r**2 - 13*r - 13. Calculate k(12).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(99) + 2 - (sqrt(44) + -5)))**2.\nAnswer: 24*sqrt(11) + 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 1\/4, -1\/21, -1\/500?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(-1 + sqrt(468)*-2 + sqrt(468) - -2*(sqrt(468) + 1))*3 + -1)*6.\nAnswer: -648*sqrt(13) - 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(133)*-5)\/(sqrt(175)*2).\nAnswer: -sqrt(19)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -8 (c) -20 (d) -0.1 (e) 0.2 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*f = 25, 4*f - 3*f = 5*o - 19. Find the first derivative of 0 + o + 2*c**2 - 1 - 4 wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108157021 a multiple of 497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*3*sqrt(5))**2 - (5 + (sqrt(20)\/sqrt(4))**2)) + 3 - ((sqrt(225)\/sqrt(5))\/sqrt(3))\/(2*2*sqrt(3)).\nAnswer: -sqrt(5)\/4 + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a hour in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 26 = -3*i - i, j + 4*i + 14 = 0. Let a(x) = x**j - 26*x + 26*x + x**2. Let u(y) = -3*y. Give u(a(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/(-196))\/(292\/219 - 151\/21)?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 50.71796 kilograms?\nAnswer: 50717960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j + 1. Let y be z(-4). Let q = y - 9. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 188. Is 30 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 442148*y + 265287.\nAnswer: (y + 88429)*(5*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(17\/((-17)\/(-2))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3090, -3180, -3296, -3450, -3654?\nAnswer: -3920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**2 - 2. Suppose -5*q + 28 - 8 = 0. Let d(h) = 17 - 17 + q*h. What is a(d(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*u + 18, -2*u + 3*u + 5 = 0. Suppose -8 = -k - 3*m, 0 = -d*m + 9 - 0. What are the prime factors of (k - -1) + (-51)\/(-1)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 380.94 - 381. Sort 1\/4, -3, w, -7 in increasing order.\nAnswer: -7, -3, w, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.2 (c) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94221 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 4*v + 27. Let z = -11 - v. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-1\/32)*g*g\/(g*g*g**(-1\/30)))\/((g**8*g)\/g**(2\/37)))**(-32) assuming g is positive.\nAnswer: g**(122213\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 1, g: 3, h: 1, v: 2, b: 4}. Give prob of picking 1 a, 2 b, and 1 v.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/13175 and -38\/15505.\nAnswer: 40855675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*h + 65*h - 35*h + 84*h + 178*h.\nAnswer: 436*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -51*b**4 - 210*b**3 - 68*b**2 + 417*b - 186. Let y(z) = -665*z**4 - 2730*z**3 - 885*z**2 + 5420*z - 2420. Let t(r) = 40*q(r) - 3*y(r). Factor t(p).\nAnswer: -5*(p + 3)**2*(3*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 3*s**4\/4 - 3*s**2\/2 - 16. What is the second derivative of k(d) wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 213.0222ml?\nAnswer: 0.2130222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 253 * -4239.648\nAnswer: -1072630.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 + 43 = -16*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5199*u - 76 = 5198*u + 9*k, 3*k = 4*u - 238 for u.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**3\/5 + 6042*a**2\/5 + 36336*a\/5 + 9696 = 0.\nAnswer: -4, -2, 2020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-176)\/(-6))\/((-38)\/(-798)). Let d = f + -408. Calculate the remainder when d is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5795 and 2393030?\nAnswer: 45467570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*q**3 + 3*j*q + 232*j + 2*q**4 with respect to q.\nAnswer: 3*j*q**2 + 3*j + 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**4\/8 + b**3\/2 - 3*b**2\/2 + 3*b. Let i(m) be the first derivative of u(m). Calculate i(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/5))**(-9\/5)\/((g*(g*g\/(g*g*g**5))\/g*g)\/((g*g*g**1\/g*g*g)\/g))*g**(-6)\/(g**(-1)*g)*(g*g*g**(-2\/9))**14 assuming g is positive.\nAnswer: g**(5582\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24412.6163 * -5\nAnswer: 122063.0815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)\/a*a)\/(a\/(a*a\/a**(2\/13))))\/(a\/(a**(-1\/9)*a)*a**(-2\/19)) assuming a is positive.\nAnswer: a**(-11470\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + -2*sqrt(99)*-6 - (sqrt(99) + (sqrt(99) + 2 + sqrt(99))*5)) + 3)**2.\nAnswer: -84*sqrt(11) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from dngngnygdyynn?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*g + 22, 0*t - 2*g - 16 = t. Let u(f) = 5*f. Let k be u(t). Let y = 39 + k. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130372 = -349*l + 146077 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, r: 1, f: 1, n: 3, e: 3, k: 2}. Give prob of sequence hhn.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2053 is divided by 112?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5229951.\nAnswer: 3, 1743317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73719 by -151.\nAnswer: 73719\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15733802?\nAnswer: 2, 7, 31, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102111135 (base 6) in base 9?\nAnswer: 3315735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.4*-19.\nAnswer: 235.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 y when three letters picked without replacement from {y: 2, p: 2, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 723 and -1455?\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 10:43 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**8\/2240 + u**7\/1260 - u**6\/60 - u**5\/15 + 61*u**4\/12 - u**2 - 53. Let l(o) be the second derivative of s(o). Factor l(d).\nAnswer: (d - 2)*(d + 2)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((5 - 1) + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2137, 2140, 2143, 2146, 2149?\nAnswer: 2152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 54 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -258 times 1.72602\nAnswer: -445.31316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4431, 34 in descending order.\nAnswer: 4431, 34, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from bbppbbbpnapnpppbpn.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h\/h**11)\/h)*h*(h*h\/h**(-5\/2))\/h*(h\/(((h*h**(-1))\/h)\/h))**2 assuming h is positive.\nAnswer: h**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7800452 to three decimal places.\nAnswer: 5.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 0*x + 1\/12*x**4 - 52*x**2 + 0 + 0*x**3. Let n(z) = 17*z - 2. Calculate o(n(j)).\nAnswer: 34*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 3*i**3 + 0*i**3 + (4*i**2 - 5*i**2 - i**2)*(3 - 1 - 3)*(14 - 11*i - 14)*(3 + 0 - 2) in the form h*i**2 + w*i**3 + p + g*i and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 8*p + 1861. Let m(w) = -w**2 + 14*w + 3733. Calculate -5*f(k) + 3*m(k).\nAnswer: 2*k**2 + 2*k + 1894","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418 (base 14) to base 6.\nAnswer: 3422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -19*s**2. Calculate f(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16633 from -5.\nAnswer: -16638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013563753 rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 7, -46, 6, -141, -1 in decreasing order.\nAnswer: 7, 6, 2, -1, -5, -46, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-2)\/((-40)\/(-75))*(-80)\/250.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75861.\nAnswer: 3, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24427*n*r + 27*r - 678 wrt n.\nAnswer: -24427*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 7*x = 0. Let o(m) be the second derivative of -1\/40*m**5 + x*m**2 - m - 1\/12*m**3 + 0 + 1\/12*m**4. Factor o(c).\nAnswer: -c*(c - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/120 + 13*i**5\/60 + 5*i**4\/12 + 3*i**3\/2 - 132*i**2. Does 2 divide p(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 + 14 + 4*w**2 - 19 + 2*w + 7 to j + u*w**3 + n*w**2 + p*w and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -200, -201, -202, -203, -204?\n\"Answer: -z - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.465 - -0.462831. What is s rounded to five dps?\nAnswer: -0.00217","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853 is divided by 851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 25050373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18157563 to three decimal places.\nAnswer: 0.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from keeeekeekttekt. What is prob of sequence ekke?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1252976, 1252971, 1252958, 1252937, 1252908?\n\"Answer: -4*f**2 + 7*f + 1252973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 59 - 676?\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1795 and -117498274?\nAnswer: 117498273.8205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 1. Let k(a) = -10*a + 4. Let n(b) = -k(b) - 4*t(b). Let y(d) = -228*d**2. Give y(n(v)).\nAnswer: -912*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 925 and 55093.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 1. Let r = d + 1. Factor -y + 3*y**4 - 4*y**4 + y + y**r.\nAnswer: -y**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2798877 and 1154287?\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/11 + 24*z**4 + 25502*z**3\/11 + 269716*z**2\/11 - 7648320*z\/11 + 1273600 = 0.\nAnswer: -40, 2, 11, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 527*o**3*r**4 - 96*o**3*r**2 + 6*o**3 - 1152*o + 3 wrt r?\nAnswer: 2108*o**3*r**3 - 192*o**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = g. Let o be -1 + 3 - (0 + 0). Let q(l) = 0*l**2 + l**3 - 3*l**3 + 2*l**2 + o*l. Give q(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**6\/480 + g**5\/240 + 2*g**2 + 5*g. Let c(l) be the first derivative of r(l). Factor c(d).\nAnswer: -d**2*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4351482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*((-3)\/4 + 0). Let s be 5\/15 - ((-128)\/12)\/4. Is 13 a factor of 1\/b + 118\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4273565*j**3 - 37*j**2 + 34023*j + 2639?\nAnswer: 25641390*j - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 7210 = -4*h. Let v = -595 - h. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 16. Let a be x(-13). Suppose a*b = 14 + 1, -b = -4*k + 7. What is the remainder when 4 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:06 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 233600*r - 2*r**4 - 10*r**3 - 233602*r - 3*r**3 + 18*r**4 + 1 + r**2 in the form u*r**2 + o*r**4 + d + l*r**3 + c*r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 24 = -2*v, 0 = 3*x + 4*v + 32 - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.071744 centimeters to millimeters.\nAnswer: 40.71744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/c**(-2))))\/c*c\/((c\/c**10)\/c*c) assuming c is positive.\nAnswer: c**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-336)\/8)\/21)\/(51\/(-6)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 29*q - 28*q = 5, -4*v - 5*q = -25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 242675 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 632*c - 17303 - 4185 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 - 188 - 195 = 3*z. Let h(j) = -j + 2. Suppose -3 = -4*f - 5*n, -2*n = -2*f - 6*n. Let a be h(f). Put z, -12, 2, a in increasing order.\nAnswer: -12, z, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxxaxaag. Give prob of sequence gx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:29 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 25*i - 154. Let q = 183 + -173. Let r be j(q). What is the highest common divisor of 336 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39338*k - 19770*k + 3 - 19565*k.\nAnswer: 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 4, h: 7, n: 3, o: 4, y: 1}. Give prob of picking 1 y and 1 s.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 117043 from -161.\nAnswer: -117204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 2:06 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/(-2*sqrt(10)*-6 - sqrt(10)))\/(sqrt(100) - (sqrt(100)*2 + sqrt(100))*-2 - sqrt(100)))**2.\nAnswer: 1\/21780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -9 - 11. What is the smallest common multiple of l and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27818 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 137, 261, 387, 515?\n\"Answer: l**2 + 121*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/10496 or 1?\nAnswer: -7\/10496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8))\/((-3)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 9*y - 1. Let x be (2 + -1 - 0)*2. What is the third derivative of 0*n**5 - 5*n**2 - y*n**5 + n**2 - n**x wrt n?\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -206.556 - 0.444. Let a = -207.074 - n. Round a to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100101001101 + 110001?\nAnswer: 100100101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003206857 rounded to 7 dps?\nAnswer: -0.0003207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10*6\/(-8) + (-2)\/4. Put 5, -0.4, n in descending order.\nAnswer: 5, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + p**2 + 18*p - 16*p + 43 in the form s*p**2 + y*p + k and give k.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 51 - 15. Calculate the common denominator of 169\/30 and 168\/513 - (-8)\/f.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-12) - 26\/(-4). Suppose -b*y + y - 2400 = 0. What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -9, -1\/2, -0.23, 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3317 + 3316. Let o(k) = -17*k**2 - 4*k - 5. Calculate o(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -280454196 and 1.283.\nAnswer: -280454194.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 278102155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**3 - h**2 + 5*h**2 - 249 - h + 247 - 2*h**2 in the form k*h**3 + x + a*h + b*h**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1008066 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1278 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-15) + 3570\/225. Let p be (-1)\/(-3) + 17\/3. Let w be 30\/p*(-3 + 6). Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2496, 9993, 22496, 40011, 62544?\n\"Answer: o**3 + 2497*o**2 - o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 80a1?\nAnswer: 8099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*d + 12*d = 2*d + 996 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 14378264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -23*y + 7. Let n be g(5). Let v be 262\/n + (1 - -1). Let s = v - 2\/27. Is -0.1 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 3*k + 3. Let j be (-4)\/((-8)\/(-6)) + 1. Let r be g(j). Find the common denominator of 51\/14 and (r\/(-6))\/(2\/298).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177 + -182. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) - (-2 - -1). Let k = -0.2 - -1.2. Let d be (2\/(-1))\/(210\/21). Which is the closest to k? (a) n (b) -1\/10 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1163074 and 109098.\nAnswer: 198885654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -156472\/24945 - -10\/1663. Calculate the common denominator of p and -95\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 4*k**2 - 6*k - 2. Let m be g(-2). Which is the smallest value? (a) -7 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*o - 2. Let q be o\/(-2 - (-22)\/10). Suppose 4*t - 48 = l + l, 0 = q*t + 4*l - 34. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 16. Suppose -16 = 2*l - 2*w, -3*l = l + 3*w + m. Let i(b) = -b**2 - 6*b - 6. Determine i(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f**5 - 12*f**5 + 4*f**5 + (2*f**3 - 2*f**3 + f**5)*(-5 + 3 + 0) - 768 + 768 - 293*f**5.\nAnswer: -312*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6854, 54, 32 in decreasing order.\nAnswer: 54, 32, -6854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 357937125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 15. Let x be s(10). Put -4, 12, x in descending order.\nAnswer: 12, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -2*o + 5*d, -5*o + 10*d = 8*d + 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 3:53 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9269 and 253890?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -791 + 790. Let q be (-32309995)\/10 - (x + (-3)\/(-2)). Round q to the nearest 100000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, -7203, 1, 3, -5 in ascending order.\nAnswer: -7203, -75, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -19*q**2 + 27*q + 2. What are the prime factors of g(-9)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2*k + 0*k)*(-4*k + 6*k - k)*(0*k**2 + 2*k**2 + 3*k**2) - 4*k**4 + 0*k**4 + 2*k**4.\nAnswer: -22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -9*o**4\/2 + 85*o**3\/3 + 3*o - 743. Find the third derivative of n(q) wrt q.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03698 to 3 decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*i - 13, 2*k - 5*i + 17 = -18. Let a = -20 - k. What is the greatest common divisor of 20 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 - 5*h**2 + 3*h**2 + h**2 - 1 + 1 + (1 - 4 + 1)*(0*h**2 + 0*h**2 - h**2) + 87*h**2 - 4707 + 4707 + (h - 6*h - 3*h)*(5*h + 2 - 2).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19868550 + -27.\nAnswer: -19868577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 5*x**2 - 6*x - 6. Let v be d(-4). Suppose -5 = -v*b - 1. Suppose 3*l - 3*i - 51 = 18, -2*i + 34 = b*l. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81.3 + 92. Let o = 395.7 - 380. Let u = o - l. Which is the nearest to 3\/7? (a) 0.04 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/3, -2, -493, -17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 + 450*c + 19952. Calculate o(-43).\nAnswer: 7998","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2358972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267, 0.3, 2, -27.\nAnswer: -267, -27, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9508 or -9506?\nAnswer: -9506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 45. Suppose 0 = -2*m + d - 3. Suppose -2*g - i - m + 4 = 0, 4*i - 4 = g. Solve g = 4*o + 8 - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722 smaller than 3257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 30 = 5*v, -s - 3*s = 2*v + 12. Suppose 4*r - 53 - 27 = 0. Suppose a = 2 - 0. Solve -a*z - v*z = r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5907.901 meters?\nAnswer: 5907901000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448) - sqrt(2448)*-3)*5 - sqrt(2448)*2*-5)*5*1)**2.\nAnswer: 55080000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 2\/13 (c) 25 (d) 146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2229, -4456, -6673, -8874, -11053?\nAnswer: -13204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -8, 1\/12, -379, 3, 0.55 in increasing order.\nAnswer: -379, -8, -1\/8, 1\/12, 0.55, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndtt when four letters picked without replacement from dtddtnddtdnddhtfdftd?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 2947357.03?\nAnswer: -5894714.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 274500557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*h - 4, -3*w + 4*h = h + 3. Solve -w*j + 4 = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.86 * 352.1\nAnswer: -302.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5120\/14)\/(-20) - -18.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9495735 divided by -9985.\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 2\/13, 2\/5, -4.\nAnswer: -4, -1\/5, 2\/13, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**3 + 2*r**2 - r + 1. Let a(l) = 34*l**3 - 14*l**2 + 7*l - 2. Give -2*a(y) - 14*k(y).\nAnswer: -26*y**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8429666.\nAnswer: 2, 7, 86017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by 6\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 10 = -5*f + 4, 4 = f - q. Let n(b) = -2*b**2 + 3*b - 1. Calculate n(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 67*q**3 + q - 1. Let j be l(1). Suppose 169 = 17*w + j. Solve k = 3*f + w, 0 = -k + 4*k - f - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-12 - -14 - 6 - -3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 58?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -54*1.037\nAnswer: -55.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-15))\/((-6)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 6*d = 20863. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2630 divided by -1315\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -5. Suppose 3*z - x = 27. What is the remainder when 32 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 4*g - 5*g)*(-1 + 4 + 0) + (-1 + 0 + 2)*(2*g + 0*g - 3*g) + 3 - 3 + 2*g - 3*g + 3*g + 2*g + g + 3 - 3 + 0*g - 4*g + 2*g + 4*g - 2*g + 2*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/25*(10 - 0) + (1 - -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 34*y**2 - 5*y. Let m be i(-5). Suppose 0 = -5*h - 5*d + m, -5*h + 5*d + 1083 - 258 = 0. What is the highest common factor of 34 and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2 (b) 4\/7 (c) -2\/9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(289*q - 648*q + 567*q)*((1 - 1 + 2*q)*(-1 - 2*q + 1) + 2*q**2 - 9*q**2 + 15*q**2) in the form m*q**2 + k + x*q**3 + c*q and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(95))\/sqrt(5).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-133464)\/(624\/(-26)) + (2 - 2)\/(-1).\nAnswer: 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2413?\nAnswer: 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -2*b + 40, -160 = -o - 4*b - 108 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25472 and 384?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-5) - (-2272)\/80?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/558 and -11 + 10681\/858 - ((1 - 2) + 2).\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*k + 92*k = 138. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20779 + 20800.018. Let y = c + -21. Let d = -0.0138 + y. What is d rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28321?\nAnswer: 127, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/(-12))\/4)\/(12*2\/(-9))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 - 67. Let j = 12 - 6. Calculate the remainder when r is divided by (-8)\/j*-3 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 211\/177450 and -179\/141960?\nAnswer: 709800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.35451 * 3.\nAnswer: 4.06353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11952 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4136031065.\nAnswer: 5, 17, 811, 59999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/3))**3*((n**3*n*n*n)\/n)**(-49) assuming n is positive.\nAnswer: n**(-244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, e: 13}. Give prob of sequence oeoo.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1189 (b) -0.2 (c) -1\/6 (d) 2 (e) -0.0735\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:55 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -24. What is the remainder when 8 is divided by t\/6 - 34\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 31 (c) 5 (d) -1\/7 (e) 0.4 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16 and -48437030.\nAnswer: -48437046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n**2 - 2*n + 2. Let d be v(2). Let c = -30 - d. Suppose c = -5*a - 2*k + k + 785, -5*k - 471 = -3*a. List the prime factors of a.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115803\/17924 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 136 = 23*j - 59 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -46. Calculate the remainder when u is divided by 1\/(-4) + 37\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/(16\/72). Suppose 0 = x*j - 152 - 10. Suppose -4*c + 4*d + 10 = -6, -5*d + 36 = 2*c. Calculate the remainder when j is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**15*((p*p\/(p**2\/p)*p)\/p)**(-5\/6) assuming p is positive.\nAnswer: p**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -424360 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56*o*t**2 + 12*o*t - 2*o + 3*t**2 + 24*t - 16 wrt o?\nAnswer: 56*t**2 + 12*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 0, -4*g - 2*t - t - 24 = 0. Let z be 8\/3*g\/(-8). Suppose 0 = o - 4*w - 45, z*w = -0*w - 10. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 + 102311332?\nAnswer: 102311233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -141\/2 at most -952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4\/2 + 63*f**3 - 2205*f**2\/2 - 51450*f = 0.\nAnswer: -35, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 187*a = -183*a - 167, 15*f + a = 83 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 90 + 0 = 15*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3 + 896*o**2 + 1785*o - 2682 = 0?\nAnswer: -894, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105871 (base 10) to base 4.\nAnswer: -121312033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*u - 8, -2*u - d + 4 = -u. Put -7, -5, u in increasing order.\nAnswer: -7, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + 3*q**4 - q**4 - 7*q**4 + (-30*q**2 - 11*q**2 - 26*q**2)*(4*q**2 + q**2 - q**2) + 0*q + q**4 + 0*q.\nAnswer: -271*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 50*s**2\/7 - 7580*s + 2010974 = 0.\nAnswer: 2653\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 5.9. Let q = 0.3 - -0.2. Let h = q + l. Sort h, 3, -0.2 in descending order.\nAnswer: 3, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*p + 9 = 41 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 z, and 1 k when three letters picked without replacement from rnrnzhzhkkkk?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 785 divide 17854040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yifi when four letters picked without replacement from iyifiiyiyyiiyyiyvy.\nAnswer: 14\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 20, 5, -17, 1\/7 in descending order.\nAnswer: 20, 5, 2\/9, 1\/7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 1:42 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2050 + 2044. Which is the closest to l? (a) 2 (b) 3 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(-2))\/x)\/x)**(3\/11))**(-30)\/(x**(-3\/5)\/(x\/(x*x**2))*(x**0)**19) assuming x is positive.\nAnswer: x**(1273\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 63704*n**2 + 3*n + 2. Let f(x) = x. Calculate u(f(v)).\nAnswer: 63704*v**2 + 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-9 - 2)) + 7 + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(8\/(-342))*(-4)\/(20\/115) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37.7 and -2139.7806963?\nAnswer: 2177.4806963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**3*h**2*p**3*z + 6565*c**3*h**2*z + c**3*h*p - 12*c**3*h*z - 2*c**2*h*p**3*z + 2*c**2*p**2*z - 2*c*h*p*z - 37*c*p*z wrt h.\nAnswer: 8*c**3*p**3*z + 13130*c**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**3 - 17*l**2 + 5. Let b(n) be the first derivative of n**4\/4 - n**3\/3 + n + 734. What is -5*b(s) + g(s)?\nAnswer: -2*s**3 - 12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-233 + 39 + 13)*(4 - 1 + 0)*(-1 - 3*k + 4*k + 0*k) as v + z*k and give v.\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8770.\nAnswer: 2, 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 2*f + 2*f + 3*f)*(-10*f**2 - 1618 + 1618) to the form t*f**2 + p*f + j*f**3 + v and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1994 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0*z + 1\/24*z**4 + 0 + 9*z**2 - 2\/3*z**3. Calculate f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 9:55 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35022301 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1660*f**2*i*s + 109*f**2*s**2 - 9*f**2*s - 3*i**3*s**2 wrt i?\nAnswer: -1660*f**2*s - 9*i**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3833*k + 5*i = -3834*k + 82, 2*i - 24 = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1166*j + 14*j**2 + 1624*j**5 - 1190*j - 3*j**2 wrt j?\nAnswer: 97440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -53 (b) -0.3 (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 237\/(-316)*(-8)\/(-10)*-1\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/6 - (-66)\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-30) - (-106)\/110. Let k = s + -5\/44. Which is the nearest to k? (a) 4 (b) 2\/11 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.805, 24, 5\/39, 4, 3, 1 in descending order.\nAnswer: 24, 4, 3, 1, 5\/39, -0.805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*c = c - 17, -4*n = c + 31. Let y = n - -11. Suppose -4*q = -5*m - 6, 0 = -y*q + m + 8 + 6. Which is smaller: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*g - g**2 + 73*g + (2*g + 3*g - 3*g)*(-1 + 3*g + 1) in the form y*g**2 + q + l*g and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z*z\/(z\/(z\/z**(2\/3)))*z))\/z)**(2\/23)\/(z*z**(-2\/7)*z*z*z*z**8))\/((z*(z*z**(-10))\/z)\/z**(1\/7))**(-21) assuming z is positive.\nAnswer: z**(-98450\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*(sqrt(21) + sqrt(84)\/sqrt(4)) + sqrt(21))\/(sqrt(7) + (sqrt(112)*4 - sqrt(7))).\nAnswer: -sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-30))\/((-1)\/(-668)). Let u = z + 67. Let m be (14\/10 + -1)\/((-522)\/(-90)). Are u and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 43?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/10 - 861\/(-6). Let r be 8*24\/320*(-30)\/(-2). What is the highest common divisor of t and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1296) - 3*sqrt(64)\/sqrt(4))\/(2*sqrt(288) - (sqrt(8) + sqrt(8) + sqrt(200)*1 - sqrt(8))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((6 - 3)\/(-1))\/(-1). Solve p = -2*m + m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 2. Suppose 13*o = 12*o + 4. Calculate q(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6 - 3 - 6*f + 3 - 8 - 21*f. Suppose h = 1, -4*m + h = 1 - 32. Let n(o) = 9*o + 5. Give m*n(u) + 3*j(u).\nAnswer: -9*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 915323830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -1\/17 (b) 1\/3 (c) -1\/30 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545102 (base 8) in base 11?\nAnswer: 443313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 3. Suppose 643 = 151*t - 565. Calculate the remainder when t is divided by q(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1158257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 10:54 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49496, 48634, 47770, 46904, 46036, 45166, 44294?\nAnswer: 43420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.54 * 5.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17965 = -148*r + 15893 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 + 201*x**2 - 273*x - 2404. What is r(99)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 3*w**4 + 0*w**4)*((-3 + 3 - 3*w)*(-2 + 6 - 1) + 0*w - 3*w + 2*w + (-w - w + 0*w)*(-2 - 2 + 1)).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 168*o + 6274. Let l be t(50). What is the greatest common divisor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 20 = -11*l. Let x be (-240)\/(-56) + (0 - l). Which is the nearest to x? (a) -0.6 (b) -2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000077344407 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(30)\/sqrt(6)))\/((2*sqrt(48))\/sqrt(12)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 10*v - 18 = 5*v, -v + 192 = -26*i - 24*i - 5*v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12013\/29400 + 12\/1225. Calculate the common denominator of 47\/252 and h.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2341 and 796 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*p - 4*p - 134 = 0, -2*p + 122 = 3*l. Factor 76*c - 432 - 219*c**2 - 580*c + 41*c**4 - 44*c**4 - l*c**3.\nAnswer: -3*(c + 3)**2*(c + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 288054.700006 + -288055. Let f = 0.3 + z. What is f rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 9:30 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41\/80 + -5\/16. Let j(r) be the first derivative of 0*r**4 + 0*r**2 + 1 + r**3 + s*r**5 + 0*r. What is the third derivative of j(a) wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -51*a - 119. Let i be b(-3). Suppose -i*o = -29*o - 10. Factor 2\/3*p**o + 6 + 4*p.\nAnswer: 2*(p + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 8*s + 11. Let d be m(4). Suppose -3*z + 1 + 5 = 0. Sort -3, d, z.\nAnswer: d, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6756772, -6756771, -6756770, -6756769, -6756768?\n\"Answer: u - 6756773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j + 192. Let y be v(24). Let z = 3 + y. Determine o, given that 0*o + 4\/9*o**z + 0 - 8\/9*o**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, -5, -4 in decreasing order.\nAnswer: 7, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 1, b: 3, k: 2, v: 4}. What is prob of picking 2 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - -87. Find the third derivative of -33*m**2 + 9*m**5 - 30*m**5 - 4*m**g wrt m.\nAnswer: -1500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4 - -2 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrrvjvvvjzvrj. What is prob of picking 1 v and 3 r?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 570 = -2*t. Let f = -57 + t. Is -1\/17 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k**2 + 27*k + 14. Let z be y(-3). Solve 0 = -z*u + 3*x - 25, -5*u + 4*x - 5*x = 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -71. Let m = d + 24. Solve 3*b + 0 = m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 3. Let z(t) = t**2 - 2*t - 7. Let h be z(3). What is the remainder when (6\/4 - (-55)\/10) + h is divided by a(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 9045210\nAnswer: 2713563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**4 - 10639*q**3 + 28109943*q**2 + 997309179*q - 1025408484 = 0?\nAnswer: -36, 1, 5337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 6*r**2 - 4*r - 3. Suppose 32 = -3*i + 47. Determine y(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 2*f + 3. Let m(i) = -i**2 - 10*i + 2. Let q be m(-11). Let t be 48\/18*q\/(-4). Calculate the remainder when u(t) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/116 - -143\/1044. What is the closest to 0.2 in 6, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 13, 38, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -106. Find the common denominator of (3\/(-60))\/(6\/765) and (1 - -1)\/(j\/535).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - p - 16, -1 = 2*o - 2*p - 9. Solve 4*n - 45 = -2*i - o*i, -2*i = -10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 187 + 8809 = 0. Let j = 982 - i. Solve -4*d + 12*d - j = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 109*a**2 - 2823*a + 12084. Determine o(130).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(-2*p + 2 - 2) - p - p + 5*p - 4*p - 2*p + 7*p)*(-23*p + p - 22*p).\nAnswer: -264*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -3. Let p = -0.1 + 0.1. Suppose 4*t = -4*v - 4, -3*t + 3*v = -7*t - 3. Which is the nearest to p? (a) q (b) t (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -4 + (-12 - -27) + -9?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a meter in millimeters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12\/149 (b) 5 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 8) to base 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-14) + 504\/147. What is the third derivative of -9*h**5 + 67*h**p - 67*h**4 + 4*h - h**3 + 238*h**2 - 4*h wrt h?\nAnswer: -540*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 236345.5 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 * 201746.\nAnswer: -12306506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 - 1)*(4*o - 5 + 36*o**3 - 34*o**3 + 0*o) to i*o**2 + m*o**3 + c + d*o and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 + 0*g**3 + 1 - 2*g**4 + 3*g**3 - 4*g**3 to q*g**3 + o*g**4 + i*g**2 + m*g + b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 2*d**7\/105 + d**6 - 68*d**5\/5 + 212*d**4\/3 - 192*d**3 + 3*d**2 - 175*d. Factor y(p).\nAnswer: 4*(p - 2)**3*(p + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2266315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkgx when four letters picked without replacement from {k: 5, r: 2, g: 2, j: 1, x: 5, l: 1}?\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*d + 1950 = -858*d + 450*d for d.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4613*i = -3867*i - 31332 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g**3 + 0*g**3 + 2*g**3 + 5*g**2 - 41 - 3 - 1 as r + n*g**2 + z*g**3 + f*g and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.431 to two dps.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by (-52)\/130 - 217\/(-10)*2.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 5) + 0 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 + 4*v + 10. What is the tens digit of o(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 1524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 6*w**2 + 2*w + 2. Calculate b(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/5*((-3)\/6 + -2). Suppose -4 = 2*f + v*o - 7*o, -3*f + 39 = 3*o. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 6*b + 2. Suppose 12 = -0*x + 3*x. Let v be h(x). Let t be 5\/(v\/(-4)) - 3. Let n(p) = p**2 + 3*p - 7. Give n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - 1c2d?\nAnswer: -1c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -432, -703, -974, -1245?\nAnswer: -1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -20, -82, 0.7, 19, 0 in ascending order.\nAnswer: -82, -20, 0, 0.7, 19, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 8. Let r = w - -4. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-5\/4)*(d**(1\/2)*d)\/d)\/(d**(-2\/5))**(13\/7))**(-39))**(-1\/55) assuming d is positive.\nAnswer: d**(-39\/7700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m + 9. Let h(q) = q + 2. Let c(u) = 2*a(u) - 9*h(u). Let k(j) = j. Let x(f) = -6*c(f) - 17*k(f). Give x(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + -3 + (-23 - -31).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 67*(-3)\/(-6)*-2. Let d = -7 + w. Let k be 1 + (0 - d) + 2. Calculate the greatest common divisor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 91369055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25622577241*a + 950*a**3 + 25622577241*a - 947*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1013 (base 10) to base 12\nAnswer: -705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1599968 - 0.16. What is i rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*y + 140, 4*x + 2*y + 3*y = 215. Suppose 5*k = -42*o + 40*o + 224, 3*k - 141 = o. Suppose -2*i + x = -k. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18864235843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**3\/3 + 3*y**2 + 17*y - 11. Does 18 divide h(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032490.1 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5765121 - 230?\nAnswer: -5765351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153549 is divided by 711?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 4*h + 1. Suppose 5*y - 4*w - 35 = 0, 3*y = -2*y + 2*w + 45. Let d = y + -8. What is the units digit of x(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 10, -5 in increasing order.\nAnswer: -5, -3, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 3556341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 6*h + 6. Let d be w(5). Suppose -6*v = -25 - d. Is (148\/v)\/(4\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:48 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 g, 1 h, and 1 f when four letters picked without replacement from {g: 2, v: 1, a: 1, k: 2, h: 1, f: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 2526503?\nAnswer: 2526501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1608 - -1608. Let x = -3 - 1. What is the fourth smallest value in 7, x, o, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-6) - (-1)\/(-3). Suppose -4*h - q + 16 = -31, 0 = -2*h - v*q + 34. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3563 - -365323?\nAnswer: 361430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u - 2. Suppose w + 34 = -2*w + 4*t, -2*t = 5*w + 22. Let z be (9\/w)\/((-6)\/16). Suppose -z = -g, -2*c = -3*c + 4*g - 14. Give s(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -449 - 199. What is the tens digit of (-13)\/(26\/s) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-444)\/(-8) + 4\/8. What is the highest common divisor of 84 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.8 - 44. What is the third smallest value in -22, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a = -160. Calculate the smallest common multiple of a and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.22. Let d = 0.0676 - 0.182. Let m = k - d. Round m to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, -36\/5, 2, 111221, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-10) - 686\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -20*t. Let l(q) be the third derivative of 151*q**5\/60 - 2*q**2 + 286*q. Determine c(l(y)).\nAnswer: -3020*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.0426 - -54.0426. Put p, 4\/9, 0.07 in increasing order.\nAnswer: 0.07, 4\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 404 and 1919.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 25 = -f, -3*q + 63 = 974*f - 969*f + 14 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5430333 (base 6) in base 12?\nAnswer: -10b3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (355 + 266 - 881)*(0 + f**2 + 0)*(0 + 2*f + 1 - 2)*(2*f - 3 + 3).\nAnswer: -1040*f**4 + 520*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 28*z**2 + 104*z + 191. Let f be u(-24). Sort -4, f, -730 in increasing order.\nAnswer: -730, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - n + 10, 2*n + 2*n - 25 = -3*i. Suppose -8*u + 30 = -i*u. What is the units digit of (-40)\/(-18) - u\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9695195 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -330?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - f. Let j(l) = -9*l**2 + l - 7. Let x(w) = -j(w) - 6*p(w). What is the remainder when x(-6) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 3*f**2)*(5*f**2 + 2 - 2) + (-f + 6*f - 2*f)*(-2*f**3 + 2*f**3 + f**3) + 4*f**4 - 2 + 2 as d*f**2 + u*f**3 + m*f**4 + b*f + y and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 2*v + 12. What are the prime factors of r(-5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10240 + -4?\nAnswer: -10244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j - 30002042 + 30001062 = 0 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3 - (3 - 2)) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -7 - (-7 + 11 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12)\/(-4)*(-16)\/(-48) - 172\/42 and -56\/975.\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*d**2 + 13*d**2 + 2*d**5 + d**4 - 7*d**4 + 6*d**3.\nAnswer: 2*d**2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88597297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 504253 to the power of 1\/2, to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 4, -8, -12 in decreasing order.\nAnswer: 4, 2\/13, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2753231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5 + -2 + 57 + -76.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 42*a - 33*a = 5*j - 32 - 0, 4*a + 16 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15587?\nAnswer: 11, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -k - 1050. Is 42 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1669*o*p*w + 74*o*p*y + o*w*y + 4*p*w*y + 7*p*w + 146*p*y - 12 wrt o.\nAnswer: -1669*p*w + 74*p*y + w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 36*f**2 - 5*f - 5. Let c(o) be the second derivative of 1333*o**4\/12 - 31*o**3 - 93*o**2 + 5473*o. What is 5*c(v) - 186*m(v)?\nAnswer: -31*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-6))\/(1 - 7 - -7). Let z = 95.3 - 101. Let a = 5.3 - z. Sort h, a, -3\/4 in descending order.\nAnswer: a, h, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjbwjjwbfbbbb. What is prob of picking 1 j and 1 w?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5950 and 121995825?\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 2. Let g be a(6). Suppose 3*m - g - 4 = 0. Factor 4*u**3 + u**2 + 2*u - m*u**3 + 2 - 3*u**2.\nAnswer: -2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -43 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, 5 in ascending order.\nAnswer: -2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 11*u - 9. Suppose 1650 - 1646 = b. Determine o(b).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 41 = 4*i - 23, 55 = 3*i + 4*x. Solve 4*h - i = -13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 2*z + 46 = 0, 7*m + 5*z = 3*m - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**6\/360 + a**4\/3 + 2*a. Let i(m) be the third derivative of k(m). Let u(p) = 3*p. What is u(i(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/3)*p)**12)**(-44) assuming p is positive.\nAnswer: p**(-1408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - w - 107 = 0, 0*w = 4*r - 4*w - 132. Let j = 30 + r. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77679 and 405?\nAnswer: 388395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -242 + -4?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 287.237 and 3.\nAnswer: 861.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-5) + 6\/15. Let x = -2.8 + 3. Let r = 81 + -327\/4. Which is the closest to 2\/7? (a) r (b) x (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 117, 151, 15, -375, -1103?\n\"Answer: -14*s**3 - s**2 + 135*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 882\/11 + 2\/11*f**2 - 84\/11*f = 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6545 and 39270.\nAnswer: 39270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1799 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 2:06 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -105*y - 240. Let d(w) = -290*w - 719. Let o(z) = -6*d(z) + 21*p(z). Find the first derivative of o(m) wrt m.\nAnswer: -465","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1034, -1001, -918, -761, -506, -129, 394, 1087?\nAnswer: 1974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -37364*t - 13252. Let m(v) = 2874*v + 1019. Let b(d) = -6*i(d) - 76*m(d). What is the derivative of b(y) wrt y?\nAnswer: 5760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2011*l**3 - 2*l**2 + 2828*l wrt l.\nAnswer: 12066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**5 + 3*u**4 + 3*u**3 - u**2 + 3*u. Let l(z) = -z**5 + z**4 + z**3 + z. Let b(s) = 6*l(s) - 2*q(s). What is the third derivative of b(a) wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 + -128. Calculate the remainder when 105 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70868 - -497774\/7. Which is smaller: 244 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4871932 divided by 1217983?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l - 21. Let s(h) = 7401*h - 14772*h + 7370*h - 10. What is 13*s(w) - 6*t(w)?\nAnswer: 5*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*q**3 - 3*q**3 - 2*q**3)*(-2 - 5 + 2) to c*q**3 + n*q + j*q**2 + m and give c.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 2. Let k be x(-5). Suppose -k*o = 2*o - 45. Calculate the remainder when 25 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -21, -52, -105, -186, -301, -456?\n\"Answer: -p**3 - 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 539.833 hours?\nAnswer: 32389.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34444158 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 - 6*z**2 - 66*z**2 to the form m*z + h + n*z**2 and give n.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 7*o**2 - 7*o + 8. Let c be p(6). Suppose c*r = 3*r. Let b be (13 - r) + 4\/2. Solve 2*u + 4*t + 12 = 7*u, 5*t + b = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 10. Which is the second smallest value? (a) j (b) 3\/2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -22. Let u be 2\/3 + o\/15. Solve -5*a - 5*t + 8 + u = 0, 2*t + 14 = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 2\/67, 1, -0.355, -31?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, s: 2, i: 8}. What is prob of sequence is?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 11. Let h be s(-6). Put -3, 1, h, 3 in descending order.\nAnswer: 3, 1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43640*t**3 + t**2 - 1385*t + 2?\nAnswer: -261840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o**2 - 4214*o + 1592*o + 1035*o + 1591*o.\nAnswer: 36*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*y + 18 + 4 - 52, 176 = 7*z + y for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-15)*-4*-4*(-7)\/112?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 134, -1\/10, -4\/3, -0.2?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.215543131 rounded to 3 decimal places?\nAnswer: 0.216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/595 + -10111\/1190. What is the common denominator of a and -48\/19?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**4\/12 - i**2\/2 - 9*i - 22. Let p(h) be the first derivative of a(h). What is p(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102632125 + 4?\nAnswer: -102632121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*a = -30, p + 4*a = -p + 18. What is the lowest common multiple of p and 51?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12181986491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70.27 - 69. Let j = x - -0.01. Let f = j - 1.97. Round f to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917631677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4331 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, p: 2, i: 4, z: 4}. What is prob of sequence yiiz?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 - 3 - 3*f**4 + 6 - 2*f**2 to the form p*f**2 + v*f + q + d*f**3 + h*f**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -11*k + 9. Let a(q) = -6*q + 5. Give 5*a(b) - 3*n(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-12))\/((-28)\/(-63)). What is the closest to 0.3 in -4, m, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 + -2 + (32 - 42)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 4 (b) -2\/9 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 - 17.8. Let x be 2040\/(-15640) - 49\/(-23). Which is the closest to 1? (a) x (b) l (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82206275 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5961, -5977, -6011, -6069, -6157, -6281, -6447?\nAnswer: -6661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21465, -16879, -12293?\nAnswer: -7707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*(15 - -7). Let y be 2 + 3*(-7)\/u. Which is the nearest to 0.1? (a) y (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 17) + -357 + 355 + (-1 - 6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 4808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211108 or 211109?\nAnswer: 211109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {i: 3, c: 2, m: 4, o: 1, h: 1, t: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -5*v - 8*o, 5*o = -2*v + 7 + 22 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14658 + -14658. Solve 108*f + 337 + 95 = r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/10 and -55\/9326?\nAnswer: 46630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from {y: 4, n: 2, f: 3, g: 3, d: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 30 = 2*g, 2*g + 23 = 3*r + 69. Sort -2, 2, r, 0 in descending order.\nAnswer: 2, 0, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {i: 4, f: 4, t: 7}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (22 - (5 - 9 - (-41 - -30))) + -10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 2*y - 5. Suppose m - 2*m = 4. Let b be r(m). Suppose -b*n - 173 = -410. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeezzzefyecezzfce. What is prob of picking 2 e and 2 z?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -15*b + 2. Let k be z(-1). Suppose k*a = 8*a + 1206. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 54, -46, 3, 52, 5, -3 in increasing order.\nAnswer: -46, -3, 1, 3, 5, 52, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/914 and ((-38)\/(-380))\/((-16)\/100).\nAnswer: 3656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 8*n + 1. Let z be (-7 + 5)*2*2. Let r be g(z). Let b = 2 + r. Solve -b*p - p = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**8\/7 - 4*z**7\/35 + 23*z**6\/40 + 7*z**5\/20 - 7*z**4\/8 + z**3\/2 - 11*z**2. Let h(v) = 0. What is v?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 4*x - 16, 0 = 4*s - 4*x + 7 - 23 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/6 + 16603*l\/6 - 8303.\nAnswer: (l - 3)*(l + 16606)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11335\/(-22730) + 69\/138. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 117*i**2 + 117*i**2 - 65*i**2 + (-i + 2*i + 0*i)*(i - 2*i + 0*i).\nAnswer: 168*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 5*a**2 + 6*a + 2. Let c = -70 + 71. Calculate the least common multiple of -20*((-4)\/(-8) + -1)\/c and z(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -690 - -712 - (-1 - -29).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -21*x - 1\/30*x**4 + 1\/15*x**3 + 0 + 0*x**2. Factor s(r).\nAnswer: -2*r*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21002 + -11?\nAnswer: 20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*3\/((-6)\/(-7)). Let h = 7 + j. Let o be 2 - (6\/(-2) - -3). Solve h*z = o*z + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*p + 165*p - 344*p + 52*p**3.\nAnswer: 52*p**3 - 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14\/5 - -71\/20. Let d = -0.54 + 0.04. Which is the second smallest value? (a) d (b) f (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, z: 2}. Give prob of sequence zn.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(45) + 0 + 1 - ((-1 + sqrt(40)\/(sqrt(24)\/sqrt(3) + sqrt(8)))**2 + (sqrt(125)*-1)**2*2).\nAnswer: -989\/4 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212 + -2?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2428884 and 2546.\nAnswer: 2428884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17963375 + 17963372.1000028. Let z = -2.9 - m. What is z rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44458 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 994734 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*h + 1658 - 42, 0 = 4*q - 5*h - 2165. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -4, 19, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1417505*r**3 - 6*r**2 - 92802*r - 17 wrt r?\nAnswer: 8505030*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 9 = -6. Let y be 18\/63 + 10\/14. Suppose -y = a - 0. Put a, u, 0 in descending order.\nAnswer: 0, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**4\/12 + 8*d**3\/3 - 8*d**2 + 2249*d. Calculate s(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 53*d - 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778518377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1214267*b**2*i - 10*b - 100537*i wrt b?\nAnswer: -2428534*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 l, and 1 k when three letters picked without replacement from {m: 1, s: 1, l: 1, k: 2, o: 7, y: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -1 + (93 - -5) - (-20 - -19).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -48*n - 181. Let i(b) = -b + 4. Let j(y) = d(y) - 4*i(y). What is the tens digit of j(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*i**3 - 216615521 + 216615521.\nAnswer: -450*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 15*v**2 + 28*v - 24. Let k be r(13). Let f(b) = -21079*b + 21079*b + k*b**2 + b**2. Let m(o) = 28*o**2. Give f(m(d)).\nAnswer: 2352*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 - 2.9. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638648.1 tonnes in milligrams?\nAnswer: 638648100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 n when three letters picked without replacement from tttpttsstntnttnttxm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*u**2*z**3 + u**2*z + 15*u*z**2 + 2*u*z + 4*z**6 - 2*z**4 wrt z?\nAnswer: 204*u**2 + 480*z**3 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1384 + -1374. Suppose 57 = 9*j + 21. Sort f, j, 15.\nAnswer: j, f, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, q: 1, z: 4, d: 1, c: 1}. Give prob of picking 1 f, 1 q, and 1 d.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbff. What is prob of sequence bx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -0.03 (c) -0.5 (d) 2\/11 (e) 3 (f) 2\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 = 10*u - 622. Let c(v) = 6*v**3 + 5*v**2 - 5*v - 5. Let i(j) = 7*j**3 + 6*j**2 - 6*j - 6. What is u*i(o) - 6*c(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 7) to base 3\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34.2 and 0.665.\nAnswer: -22.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -12)*-6 - -6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**3\/3 + 329. Let v(o) = 5*o + 21 - 14 + 0*o - 4*o. Give v(a(z)).\nAnswer: z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6*g = -21. Suppose -2112 = -3*z + 3*m, 2*m - 1695 = -g*z + 412. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-3 - -2)*2. Let n(o) be the second derivative of o**3\/2 - 15*o**2\/2 - 4*o. Let x be n(l). Put x, -3, 5 in decreasing order.\nAnswer: 5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 + 5 = -5*u, -4*u + 3 = -x. Suppose 2*i + 5*p = 370, 3*p + 8 + 4 = u. What are the prime factors of i?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88149 divided by 29383?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7 + 10)*3)\/(8 - 9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnwvpnfr. What is prob of picking 1 v, 1 r, and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.6 - -4.2. Let h = r - 2.3. What is h rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -86, -169, -276, -413, -586, -801, -1064?\nAnswer: -1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(2 + sqrt(1584) + -5 + (sqrt(539) + 0 + sqrt(539) - sqrt(539)) + sqrt(11)))**2.\nAnswer: -3840*sqrt(11) + 158656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106706 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/36*(-72)\/(-112). Factor -7\/8*u**3 + 0*u + x*u**2 + 0 + 1\/4*u**4.\nAnswer: u**2*(u - 3)*(2*u - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008482 is divided by 128?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 33. What is the smallest common multiple of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*d - 4395 = -3547 - 10600 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 5*m**2 - m - 1. What is d(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -4. Let s(k) be the third derivative of k**4\/24 + 11*k**3\/6 - 2*k**2. Let t be s(p). Solve -o = 2*z - t, 5*o - 5*z + 0*z = 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60650652 a multiple of 534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 - 137 + 7519153*u - 137.\nAnswer: 7519153*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -14. Differentiate 0*u**2 + 0*u**2 - h - 3*u**2 - 2 wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Suppose 3*n - u + 0*u = 329, -5*n + 550 = -y*u. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -782\/25061 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 302103 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -6. Let v(y) = -y**2 - 4*y + 6. Let m be v(-5). Let f be ((-2)\/6)\/(m\/(-2)). Which is the nearest to -2\/7? (a) -2 (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123296 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {c: 1, i: 3, b: 1, o: 6, m: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1301, 5193, 11679, 20759, 32433?\n\"Answer: 1297*c**2 + c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3 + 932*n**2 + 108578*n = 0.\nAnswer: -233, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**2*x**3 + 3*c**2 - 19*c*x**4 - c*x**2 + 34*c*x wrt x?\nAnswer: -30*c**2 - 456*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 5*a**2 - a - 6. Let n be y(-3). Is n not equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f - f)*(-f + 4*f - 2*f + (0 + 0 - 3)*(0*f - 2*f + f))*(-34 + 1 + 834*f + 33).\nAnswer: -6672*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2258.93 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)\/(r\/(r*r**(11\/2))))\/(r**16\/(r*r**(-4\/3)\/r*r)) assuming r is positive.\nAnswer: r**(-313\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 72. Suppose -136 = -4*k - 4*b, 0*b = 2*k - j*b - 72. Suppose -6*t = -t - k. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*7\/(875\/(-130)) and -1\/35?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djzj when four letters picked without replacement from ezjgjgdzjj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 4 + -7 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 14*w**2 + 2*w + 21. Let f be s(-14). Let l be (11 - 2) + 7\/(f\/2). Suppose h - 3 = 0, -5*x = 2*h + 5 - 21. Solve x*i + 1 - l = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 220*w + 215.\nAnswer: 5*(w - 43)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140 - 107 - 86) + 12.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**7\/14 + 2*u**6\/5 + 3*u**5\/10 - 3*u**4 - 9*u**3\/2 + 7*u. Solve n(v) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*x - 0*x - 144, -4*v = 3*x - 620. Let r = v + -84. Let d(w) = 22*w + 21*w - r*w. Let b(z) = -z. Calculate b(d(c)).\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1137 is divided by 1124?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011110000100000001 + -101?\nAnswer: -11011110000100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 2235*g + 432*g - 68 + 34 in the form t + n*g and give n.\nAnswer: -1803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 94850616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 11:22 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2648 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1842, -7401, -16668, -29643, -46326, -66717, -90816?\n\"Answer: -1854*g**2 + 3*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 212 and 3144.\nAnswer: 166632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -181991*f - 18. Let l be z(2). What is l rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354380109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39058 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 2*k - 2*k**5 + (-k + 2*k - 3*k)*(2*k**2 - 2*k**4 - 2*k**2) + (2*k**2 - 4*k**2 + 6*k**2)*(0*k**3 - 2*k**3 + 3*k**3).\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11449, -41704, -90755, -158602, -245245, -350684?\nAnswer: -474919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11*o**3 + 4*o + 0*o**2 - 10*o**2 + o**3 + 7*o**3 - 3 + 3*o. Let x(s) = s**3 + 3*s**2 - 2*s + 1. What is 2*h(t) + 7*x(t)?\nAnswer: t**3 + t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*m + 87*m - 30 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315, -488, -671, -864, -1067, -1280?\nAnswer: -1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 16*t + 1536.\nAnswer: -2*(t - 24)*(t + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 75 = -4*d, -4*d + p + 78 = 3*p. Suppose -d = -2*b - 4*c - 7, c = 3*b - 11. Suppose 0*f - b*f = 2*f. Solve 5 = r, i + 3*r - 5 - 10 = f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.41 - 609.41. Let u = 601.8 + a. Is u less than 116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**(15\/8)*i*i\/(i*i*i**(-4\/5))*i**(-1\/4)*((i\/(i\/(i*i*i**4)))\/(i\/(i**7\/i)*i))**(-8\/15) assuming i is positive.\nAnswer: i**(-181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1815, -1570, -905, 390, 2525, 5710, 10155, 16070?\n\"Answer: 35*i**3 - 1850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 2*m**2 - 5*m**2 + (-3 + 3 - 3*m**2)*(2 + 2 - 3) - m**2 - 5*m**2 - 8*m**2 + 0*m**2 + 2*m**2 - 3*m**2.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42550 (base 11) to base 16.\nAnswer: -f1be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/35370 and 63\/260?\nAnswer: 919620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4 = 2*c, -v + 8 = -3*v + 4*c. Suppose 3*l - 22 = -4*k - 5, -4*l + 10 = -k. Solve 0 = -q - d - 7, v = -6*d + k*d - 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 24)*(-1 + 5 - 5)*(-2*h - 2*h + 6*h).\nAnswer: -44*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/340 - (-9)\/12) + -1 + 2.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30\/11 in -0.09, 2\/7, 3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312185.\nAnswer: 3, 5, 7, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 10250 = -3*n, 13*n - 51230 = -5*b + 18*n. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/5 + (-95)\/(-19))*-10. Let u(j) = -2*j + 5. Let b(z) = 5*z - 15. What is x*b(y) + 11*u(y)?\nAnswer: -2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 369*l + 3723. Give w(-10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 + 28*t**2 + 3*t - 25. Let u be r(14). Suppose -u*d + 308 = -10*d. What is the highest common divisor of 44 and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2815 and -6565888.866.\nAnswer: -6568703.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 4\/35*d**5 + 0*d - 22 + 0*d**2 + 1\/21*d**6 - 4\/21*d**3 - 1\/14*d**4. What is b in s(b) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 15, 32, 71, 138, 239, 380, 567?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.2. Let p be (30\/(-60))\/(10\/8). Put 3\/5, p, q in descending order.\nAnswer: 3\/5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -810 or 9\/20?\nAnswer: -810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 28*z**2 - 22*z + 22. Let x(w) = 4*w**2 - 3*w + 3. Let n(b) = 6*h(b) - 44*x(b). Let t(k) = k. What is t(n(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 90 = -57. Suppose 7 = -4*z + 2*k - 7*k, 11 = -2*z + 5*k. Let f be 96\/14 + z\/v. Let s(d) = -d**3 + 8*d**2 - 8*d + 8. Determine s(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162861 minus -3.04?\nAnswer: -162857.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 7*r + 8*r + 2*r + 8. Let c(m) = 5*m + 7. Give -5*c(v) + 4*s(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -107. Is -89 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 7 = 5*n, -d - 2*n + 11 = -n. Let s(f) = f - 38 - 3*f + 32 + 4*f. What is s(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -684217*q. Let t(y) = -2*y - 44. What is z(t(r))?\nAnswer: 1368434*r + 30105548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4332 divided by -1008?\nAnswer: 361\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a factor of 6654444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2136773915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhzz when four letters picked without replacement from zfzzzhhffz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -367 + 780. Suppose 47*r - f = 40*r. Let o = r - 47. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 7*m + 32. Let s = m - -13. Suppose -s*w = 20, -3*w - 10 - 8 = -2*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 563598*q - 358605?\nAnswer: 563598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 greater than -9.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1572434 is divided by 49123?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174895 and 1995?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 12*q**2 + 14*q - 13. Suppose 2*p = -3*p + 65. Let l be k(p). Solve l = 2*c - 0 + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, e: 15}. Give prob of sequence ccce.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 228 - 222. Solve -3*r + m*r = 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005251578 rounded to 5 decimal places?\nAnswer: 0.00525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 190000 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172285 is divided by 240.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -23*f**3 - 9*f**2 + 11. Suppose 0 = -15*b - 94 - 88 + 17. Let v(g) = -8*g**3 - 3*g**2 + 4. Give b*v(h) + 4*r(h).\nAnswer: -4*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 665 or 669?\nAnswer: 665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - b - 11, -3*q + 229134*b - 229133*b - 9 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66043.74 millilitres to litres.\nAnswer: 66.04374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1639, -6519, -14645, -26011, -40611, -58439, -79489?\n\"Answer: y**3 - 1629*y**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 + 55. Let z(j) = -j + 1. Let v(r) = -12*r + 15. Let p(l) = f*v(l) - 4*z(l). Find the first derivative of p(n) wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290 = -30*s + 320 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/60 - -4\/5. Let j = 29\/6 - 61\/12. Let r = j + s. What is the second smallest value in 3, 2\/19, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -18952*d - 18944*d + 37900*d. Let r(m) = 18*m + 20*m - 13*m. What is r(q(u))?\nAnswer: 100*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 878844199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213918 is divided by 29575?\nAnswer: 6893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 50 = -537 - 2473. What is the greatest common divisor of y and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**22*i*i\/i**(1\/42)*i)\/((i*((i**24*i)\/i)\/i)\/i**15))**(-2\/5) assuming i is positive.\nAnswer: i**(-671\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2407 + 20136?\nAnswer: 17729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1 - 0)*6. Is 3\/z*(-78 - 0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3350\/3 + 1117. Which is the biggest value? (a) -2 (b) -3 (c) f (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 11. What is the remainder when 64 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3362 - 26?\nAnswer: 3335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3453889934.\nAnswer: 2, 11, 156994997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -201.20335 rounded to two dps?\nAnswer: -201.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315135457.\nAnswer: 7, 13, 3463027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 241640 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2682.655 minus -0.3603286?\nAnswer: -2682.2946714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*t + 3, 0 = -2*t - 0*t - 3 + 3 - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 926560157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1)*33\/((-561)\/(-884)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:59 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/2 + 0)*-13. Let v = t + -13. Suppose 3*j = 1528 - 1519. Solve -a - j*y = -6, 2 = y - v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 22851220*s - 26108912774420.\nAnswer: -5*(s + 2285122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 - 5*r. Let y(g) = g**3 + 5*g**2 + 4*g + 2. Let c be y(-4). Let s(z) = -6*z**2 + z + 3*z**c + 2*z**2. What is -2*i(a) - 10*s(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/2576 and 5\/11634.\nAnswer: 2140656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 619 - 536. Let n be ((-6)\/(-28))\/((-6)\/2320). Let m = n + a. What is the closest to -0.1 in m, 4\/7, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(500) - ((sqrt(500) - (-1 + sqrt(500))) + sqrt(500))*2) + (sqrt(50)\/(sqrt(10) + sqrt(90)) - (sqrt(5) + sqrt(5)*-3 + 4)))**2.\nAnswer: 217*sqrt(5)\/2 + 5589\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 3, e: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4\/3 + 954*c**3 + 186180*c**2 = 0.\nAnswer: -174, 0, 1605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 66 = 6*t. Let u = t + -18. Is ((-193)\/u)\/((-4)\/80) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 1:53 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/10 and -79\/823828.\nAnswer: 4119140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 21 = 2*w + 21, -2*d - 64 = 3*w. Let f = -16 - w. Suppose -i = -f - 4. Solve -3*p = -3*c + 6, 2*p - 3*p = -3*c + i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2118422.\nAnswer: 2, 701, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - c. Suppose 5*h + 5 = c, -112 = -4*s + 4*h + 64. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -86*t**4 - 17*t**2 - 3172*t**5 + 3190*t**5 - 23*t**2 + 124*t**3 - 16*t = 0. Calculate t.\nAnswer: -2\/9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21550 - 44?\nAnswer: 21503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -2*w**6\/3 + 12*w**5\/5 - 2*w**4 - 8*w**3\/3 + 6*w**2 - 4*w - 22. Factor c(b).\nAnswer: -4*(b - 1)**4*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k - 3*k + 8*k - k. Let w = 25 + -22. Let n(l) = -l - 2*l - l + w*l. Determine h(n(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.080971 millennia to months.\nAnswer: 84971.652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.9786 (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**5\/3 + 34*w**4\/3 - 38*w**3\/3 - 34*w**2\/3 + 12*w = 0?\nAnswer: -18, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k**5 - 17800*k**4 + 31634*k**3 + 138252*k**2 - 300141*k + 148068 = 0.\nAnswer: -1371, -3, 1, 36\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78 * -0.46.\nAnswer: 35.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4945*v - 4985*v + 80 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*l + 681 = 136*l - 8804 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/23, 1\/2, -0.26 in increasing order.\nAnswer: -0.26, 1\/2, 15\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -765, -3222, -7321, -13062, -20445?\nAnswer: -29470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -202906\/5 - -40182. Let j = -4097\/2 + 2444. Let a = i + j. Calculate the common denominator of a and 31\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 60\/27 + 8\/(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 334887\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by -941453.\nAnswer: -140\/941453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*m - 62 = -3, 3*p + 5*m = 156. Let q = p + -25. Suppose -6*r + 3*r + 24 = 0. What is the smallest common multiple of r and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 11398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 + 6*l**2 - 3*l**2 + l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 - 174\/(-21) - 80\/(-14). Let k be 53 + (-2)\/(-4)*2. Let o be n\/k - (-2)\/9. Which is the closest to 0.3? (a) -2\/3 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 5*v - 2*u - 16, 4*v - 92 = 3*u. Let d = 29 - v. What is the second derivative of 5*j - 5*j - d*j**3 + 4*j wrt j?\nAnswer: -54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = 13*o + 78 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**5 - 8030608*w**3 + 2*w + 0*w**5 - 39 + 8032484*w**3 wrt w?\nAnswer: 20*w**3 + 11256*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 4, 0, -3\/4, -2, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2806 - -2830. Suppose 0 = 2*k - 0*k + t - 69, 5*k - 177 = -4*t. Calculate the smallest common multiple of h and k.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = w - 2*w - i, 0 = 2*w - i - 18. Suppose a - 1302 = -l, 3*a = w*a - 4*l - 5216. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87*a**2 - 72*a*w**3 + 2*w**3 - 25780*w wrt a?\nAnswer: 174*a - 72*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557 - 610 = -d + 2*q, 0 = -4*d + q + 4640. Let z = d + -639. What are the prime factors of z?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c - 54. Calculate v(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-36))\/((-126)\/(-81))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 150 + 3*t**3 + 375*t**4 - 17 - 369*t**4 - t**3 wrt t?\nAnswer: 24*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*t - 2 = 3*q - 243*t, 28 = -10*q + 2*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10152)\/66 - (-20)\/22*29\/(-145). Which is greater: -145 or j?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -6. Let d = t - -3.9. Let y = d + 1.1. What is the closest to 0 in y, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6673 + -6673. Solve 0 = -3*y + 2*q - 10, -4*q + a*q = -20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 9 = 0, 0 = -h + 4*d + 61 + 133. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2205 (base 7) in base 4?\nAnswer: -30111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2 + (-45)\/(-5) - -2260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 4)*(2 - 1 - 2)*(2*p - 1 + 1) to the form l + f*p and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 125 + 17 = -4*s, -2*s - 3*c + 62 = 0. Calculate the highest common factor of s and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 13067\nAnswer: 30\/13067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 g when three letters picked without replacement from {f: 6, g: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*v - 169 + 33 = 0, 5*v = -3*o + 134. Calculate the remainder when 140 is divided by o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-116)\/(-30) - 20\/(-150). Suppose 0*v - 4*v = 5*q + 13, c = -2*v. Let p be ((0 - 0) + 3)\/q. Sort 1, 2, p in ascending order.\nAnswer: p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-245)\/(-13650)*289\/(-2). Let u = 1\/156 - c. Find the common denominator of -50\/9 and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-1615))\/((-1368)\/(-7752))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = d - 11, -u - 2 = 4*d + 2*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144\/(-32) + 5 + (-5853)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-70)\/(-30))\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2389548497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4 - 0. Suppose -q + 1 = -2*j + 4, w*j - 2*q - 2 = 0. Let x be (-13 - j)\/1*-1. Solve 3*p + 0*p + x = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 54. Calculate the remainder when 1\/(-2)*(-5 - 77) is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 162, 160?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 - 17 + 111 = -11*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 623763.9 minutes?\nAnswer: 433.169375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-15) + 16474\/10. Let j = p - 476. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.3 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 5 (c) 1\/8 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166 and 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**4 + 244*c**3 + 3840*c**2 + 3600*c = 0. What is c?\nAnswer: -30, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*((-880)\/150 - -6)*(-127 + -3). Sort -4, n, 1, 3, -5.\nAnswer: n, -5, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6038993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.78809 - 8.7.\nAnswer: -9.48809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 17*t**3 - 2*t + 2. Let m(x) = -x**2 - x + 1. What is k(n) - 2*m(n)?\nAnswer: 17*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 17493*c - 34375*c + 17192*c)*(3*c - 4*c - 2*c).\nAnswer: -930*c**2 + 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15105 + -14883. What is the remainder when m is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 5, u: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, j: 6, m: 2, i: 4, l: 3}. Give prob of picking 1 i and 1 l.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 35\/2, -0.4, 1, -87 in descending order.\nAnswer: 35\/2, 1, -0.4, -0.5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14110.\nAnswer: 2, 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*h - 5, -13 = 4*h - 17 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -30ea?\nAnswer: -3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 220 - 376. Let g = p - -627\/4. Factor 0 - 3\/2*q + g*q**2.\nAnswer: 3*q*(q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4207 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -15. What is the smallest common multiple of i and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 129, 337, 643, 1053, 1573, 2209, 2967?\nAnswer: 3853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*i**3 + 0*i**2 + 0*i + 0 = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 12:02 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -19*x + 29*x - 4*x + 1 - 6*x**2 + x**3. Let c = -37 + 69. Let n = c + -27. What is v(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117403 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(-2\/17)*k)\/k)\/(k\/(k**3\/k)))**(4\/11) assuming k is positive.\nAnswer: k**(196\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1995 and 347595.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410947 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -39 (b) 0.016 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 0.028213.\nAnswer: -0.271787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 6*h - 4. Let n(v) = v + 12. Let j be n(h). Suppose -j = -2*m + 1. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1403141 (base 6) to base 11\nAnswer: 53a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*2\/(-7 + 5). Suppose -3*k - 3*h + 11 = -h, -4*k + 5*h - 16 = s. Is 1 + 6 + 3643 + k*-3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31301723 to the power of 1\/2, to the nearest integer?\nAnswer: 5595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -23. Calculate the remainder when 5 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 1. Suppose 0 = 3*f - 5*f + 12. List the prime factors of r(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13086 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c = -2*l - 22, -34 = 4*l - 2*c. Let d be 17\/(-7) + l\/(-14). What is the units digit of 178\/6 + d\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2827, 5696, 8589, 11500, 14423, 17352?\n\"Answer: -u**3 + 18*u**2 + 2822*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 - 58. Suppose 3*i + 31*v - 109767 = r*v, 146356 = 4*i - v. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 - 68308*z. Let p(u) = -3*u**2. Calculate t(p(j)).\nAnswer: -18*j**4 + 204924*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**8\/672 - k**7\/210 - k**6\/240 + k**5\/60 + 71*k**2\/2 - 2*k - 49. Let s(p) be the first derivative of m(p). Factor s(t).\nAnswer: t**2*(t - 2)*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 35*c**2 - 5*c - 149. Let x be d(-35). What is the greatest common divisor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279979594 take away 2007774?\nAnswer: 277971820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 102 = 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 19*g**2 - 30*g - 117. Determine m(-17).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 - -8462711?\nAnswer: 8463077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962967?\nAnswer: 3, 41, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/4 + 2 + -4. Let t(n) = -n**3 - 4*n**2 - 7*n - 8. What is the units digit of t(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/7)\/((u\/u**(18\/5))\/u*u) assuming u is positive.\nAnswer: u**(106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 175597659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.2 - -9. Sort m, 5, 2\/11 in ascending order.\nAnswer: m, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261330 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 h when three letters picked without replacement from siwsiihiiiiwiiirwis.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 + 119. Suppose 7*d - 2*d + u*a - 30 = 0, 3*a = 5*d - 6. Solve 0 = -5*v, d*v = 5*k - 5 + 15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/11)\/v*v*v**(-1\/2))\/(v**(3\/4)\/v**(-5))*(v*v**(2\/3)*v)**24*(v**(-1\/3))**(3\/10) assuming v is positive.\nAnswer: v**(12723\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*j**2 + 45*j**4 + 44*j**4 - 141*j**4 + 66*j**3 + 47*j**4 wrt j.\nAnswer: -120*j + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 23*j**3 - 96*j**2 - 29*j + 53. Is x(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l*l)\/(l\/l**(-5)*l)*l**14\/(l**11*l) assuming l is positive.\nAnswer: l**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 34*u**2 - 251*u + 212. Calculate c(22).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 943678579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*a = -80, 4*a - a - 85 = -5*s. Let g be (-3 - -13)*(4 + -3). Suppose 2*p + 224 = g*p. Calculate the greatest common factor of s and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - 10. Let s be (r\/(-56))\/((-2)\/(-14)). Solve 0 = -4*x - o + 8, 0*x = -s*x - 3*o + 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -81. Suppose 4*l = -3*r + x, -4*r + 2*l + 149 = -3*l. List the prime factors of r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*f = -12*f + 122*f - 1140 for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25754 - 25704. Suppose -2*c = -y - 57, -5*c = -y + 5*y - 110. What is the remainder when b is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/19 - 220*j\/19 + 6050\/19.\nAnswer: 2*(j - 55)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/7 + 2572*c**3\/7 - 1117146*c**2\/7 + 26661352*c - 1504355384.\nAnswer: -2*(c - 497)**2*(c - 146)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 10 = -7*q, -4*q + 258 = -2*t + 274 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**5\/60 + 3*q**4\/4 + 29*q**3\/6 - 7*q**2 - 7*q. Calculate the smallest common multiple of c(18) and 9.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfxnafxffffafafxff. What is prob of picking 1 a and 1 x?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2163, 4419, 6799, 9303, 11931?\nAnswer: 14683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 + 14*s**3 + 4 - 3*s**2 + 8 - 12.\nAnswer: 14*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkkr when four letters picked without replacement from {k: 2, j: 1, r: 4, z: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 0.0168?\nAnswer: 0.0832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707530 is divided by 235785?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*s + d - 103 = -294*s + 599*s, -2*s + 2*s - 18*d + 54 = 0 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8218 is divided by 114?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*b - 76*b = 72*b - 96*b - 4455 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650 and 450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 20. Let z be (-11 + (-678)\/(-60))*5\/(-12). Sort -5, -1.2, t, z.\nAnswer: -5, -1.2, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -355*b - 3. Let o(y) = 2*y - 2423 + 2423. What is c(o(i))?\nAnswer: -710*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -4, -21 in decreasing order.\nAnswer: 4, 2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -115.5, 0.36.\nAnswer: -115.5, 0.36, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 11:48 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/8, -1256, -13\/3 in increasing order.\nAnswer: -1256, -13\/3, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -37795765.832 - -30439\nAnswer: -37765326.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3432 and 11856.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - z + 10, 16 = 3*p + 4*z - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*n - 107*n = -161*n - 1190 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 33 = 4*w. Suppose 4 = 2*v, -w = -5*d - v + 149. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -1 - (-2 - -3). Let k(a) = 2 + m - 4 - 1 - 4*a. Let x be k(-2). Solve 12 = -4*i + 3*f - 2*f, -x*f + 3 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084132607?\nAnswer: 29, 37383883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -1)*15\/(-10). Let b(d) = d**3 - 8*d**2 - 11*d + 10. Let v be b(f). Find the common denominator of 101\/16 and (0 + -2)\/v*-134.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*n = -2*g, 2*n = -4*g. Suppose g = -7*o + 252 - 1281. Let d = o + 296. List the prime factors of d.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1247461, 1247841, 1248221?\nAnswer: 1248601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64614 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gaggagggggag. Give prob of sequence gagg.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p. Let d(v) be the first derivative of 0*v + 4 - 5\/2*v**2 + 0*v**3 + 0*v**4 + 1\/60*v**5. Let o(n) be the second derivative of d(n). Give x(o(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(17\/2)\/(z**(2\/49)*z*z))**26 assuming z is positive.\nAnswer: z**(8229\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 416082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1164 * -0.01\nAnswer: 11.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 71934.\nAnswer: 1\/35967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*o - 16*o + 8*o**2 + 14*o**2 - 29 + 25*o**2 - 40*o**2 as z + c*o**2 + f*o and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 25*y**2 - 25*y + 2. Let z be w(-26). Let c be -5 + ((-5)\/3)\/(8\/z). Solve -i - 6 = -c*g - 5*g, -i = g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (228\/36 - (-2)\/(-6)). Let m = 0 + 5. Let b(u) = -u**2 - 1. Let f(h) = 4*h**2 + 4*h + 11. Let x(n) = m*b(n) + f(n). Calculate x(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66608040 a multiple of 1545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 351104 by -351104.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7750 = 1238*j - 1213*j. What is the highest common factor of j and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15623409 or 1?\nAnswer: 15623409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2101, -3685, -4895, -5737, -6217?\nAnswer: -6341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 21*d = 13*d + 741 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/1169 and -11\/15197.\nAnswer: 15197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 144*l**2 - 930*l + 86. Give x(-78).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 16795621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1213552585 by 5.\nAnswer: -242710517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5370.222 days to microseconds.\nAnswer: 463987180800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-56) - 79\/(-7). Suppose -3*n + r + 4 = 0. Let o be 2 + (-2)\/n*-5. Which is smaller: o or 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + (-4)\/144*-8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = -0*l + 3*x, -x = 4*l - 15. Suppose 14 = l*y - 6, 4*g = -y + 97. Solve -2*k - 2*f = 10, -4*k + 3*f = -3 + g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Suppose v*w - 3245 = -w. Suppose 7*t - w = 814. Calculate the greatest common factor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 + 12*q**3 - q**2 + 0*q**2.\nAnswer: 6*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olonl. Give prob of sequence oll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -55337.716 to the nearest 100.\nAnswer: -55300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Find the third derivative of -y*j**4 + 5*j**4 + 0*j**4 - 3*j**2 wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, a: 8}. Give prob of sequence uu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3982*w = -3993*w. Solve 3*f + 21*n = 19*n - 4, w = 3*f + 4*n + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + (-4 - -7 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1274182 and 27482?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -455*g + 41. Let q be h(7). Let x = -75473\/24 - q. What is the common denominator of -131\/18 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-53)\/(-4) - (-11)\/(-44). Suppose -h = -5, 4*g = g + 2*h - z. Let d be -4 + g\/(-1)*4. Solve 0 = 4*q - d*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3825306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-18)*(0 + -1). Let q = 26 - 25. Which is the smallest value? (a) 1\/3 (b) q (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/144*(-102)\/(-15895).\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5548 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/12 and -23\/2160?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 - 37. Let s = 89 - l. Which is the smallest value? (a) 6 (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/17105 and -18\/206815.\nAnswer: 2274965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpfefaefffeei. What is prob of picking 1 a, 1 e, 1 p, and 1 f?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-82)\/4))\/(2473460\/(-4609630)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -3*26\/(-2). Suppose -a - 2*a + 23 = i, -4*a + 4*i + p = 0. Suppose 5*u + 2*t = a, 6 = 2*u - t + 1. Solve 0 = w + 3, -2*w = u*b - 4*w - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 676422432?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*z - 7138 = -2308, -2*f = 3*z - 3224. Let x = f + -696. Is 65 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smssmusdsddumsss. Give prob of picking 2 m.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/7, 2\/11, 2\/77, -6\/13, -2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 7. Let k be p(-3). Let m be (-4)\/((-28)\/(-8) - k). Suppose 0 = -m*r + 9*r - 190. Round r to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z + 3*z**3 - 22*z + 28*z.\nAnswer: 3*z**3 - 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 17*u - 24. Let i be k(-17). Let b = 25 + i. Solve p - b - 1 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27938829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/672186513 and 23\/9753.\nAnswer: 672186513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utta when four letters picked without replacement from {d: 2, k: 3, a: 1, u: 4, t: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**3 - 4 + 4)*(-3 - 5 + 6) in the form o + p*c**2 + t*c + u*c**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1274633 (base 8) to base 2\nAnswer: 1010111100110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjzzzzzzzjjjz. Give prob of sequence zz.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309095, 309055, 309015, 308975, 308935?\nAnswer: 308895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 22, 5, -5, 1.3, -0.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -10*j**2 + 103*j - 285. What is z(4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 400 and 9320?\nAnswer: 93200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99709.9nm to centimeters.\nAnswer: 0.00997099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 2912?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ttttttxtxttxttxuxtut?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 153 + -110. What is the greatest common divisor of 473 and j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.994 - -0.334426.\nAnswer: 23.328426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.82 - 21.22. Sort -1\/6, -1.01, p.\nAnswer: -1.01, p, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**2\/2 - 4*y + 4. Let w be g(4). Solve -2*c + w*f = 2*f, c - f = -10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 429 and 8239.\nAnswer: 321321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*n + 5 = 13, -4*f = 3*n - 20. Suppose 0*k - 4*k + 4*s + 24 = 0, -2*s - f = 0. Solve k*m - 21 = 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1808 and 61336036?\nAnswer: 61336036.1808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + g - 18 = 2*z, 2 = 3*g - 2*z. Sort 0, -3, g in increasing order.\nAnswer: -3, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3184 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25622996.\nAnswer: 2, 7, 211, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -b + 4, b - 299 + 305 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = m - 5 - 2, -m = -v - 2. Suppose 2*d + d + 9 = m*z, 0 = 2*d - 6. Solve 2*c + 1 - 8 + z + 2*c**2 - 3*c**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 24 = 2*i. Let d = i - 5. Let k(r) = -r**2 - 2. What is k(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 433219671 divided by 3\nAnswer: 144406557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fiittizzfzzz. What is prob of sequence izf?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 2\/5, -0.2, -1\/8, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.107 - 9.607. Let t = -28 + 24. Which is the biggest value? (a) x (b) t (c) -2\/5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/27 - 872\/(-36). Suppose 0 = -4*y + 12, -46 = -2*n + 2*y. Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10321213123 (base 5) to base 6.\nAnswer: 1034134011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -9*b**3 - b**2 + 3*b - 1. Determine z(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6220807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/(7\/(-28)). Let n be ((-4)\/3)\/((-2)\/6). Let h = -34 + 40. Solve -n*z = 4*b - h - c, 0 = 4*b + 3*z - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 4 + -4 + (1 - 61)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42048*i**4 + 49*i**3 - 68032*i**2 - 26*i wrt i.\nAnswer: -1009152*i + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29aa1 (base 12) in base 6?\nAnswer: -1131121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 4:33 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*8*(-341)\/5456?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 - w - 302*w**2 + 0*w**3 - 5*w + 4*w.\nAnswer: 2*w**3 - 302*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:22 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*u**4 - u**3 + 6*u**2 + 7755*u wrt u?\nAnswer: -612*u**2 - 6*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5872291 and 3849.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/49 or 2\/167?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -111592*a - 15622878. Determine r(-140).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 13597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 5:25 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**3 - 2*m**4 + 3*m**2 - 2*m + 6298 - 6298 to b + a*m**4 + i*m**2 + s*m**3 + f*m and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = x + 3*z - 11, -4*x - 3*z = -5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + -202332322?\nAnswer: -202333011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456887090 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, 48, 101, 176?\n\"Answer: 11*b**2 - 2*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13476083 - 0.13494. What is h rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 4*x - 190. Let i = -44 + x. What is the remainder when 58 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5806?\nAnswer: 2, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwe when three letters picked without replacement from {i: 1, z: 1, w: 3, e: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 648095634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 58*s + 167. Let n be g(-28). Sort n, 4, -4, 1.\nAnswer: -4, 1, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.556 + -0.016. What is p rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 7*s - 7. Let g be z(-5). Let v = 1.007 + -0.007. Which is the closest to 1\/2? (a) g (b) v (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 15 = -5*s, 2*s + 10 = -s + 2*l. Suppose s = -4*o + 32 + 68. Let k = 35 - o. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 16\/20)*25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120.309 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2. Let v(o) be the third derivative of 3*o**4 - 2*o**2 - 2. Determine v(n(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*a + 23, 4*a - 5*u + 2 = -15. Solve -3*d - 18 = 3*v, -d + a*v + 0 + 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 8:51 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2928000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1155603 and 9966?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express u**4 + 3 + 10*u - 5*u - 26*u**2 - u**3 - 13 + 24*u**2 + 5 as j*u**2 + d*u**4 + h + v*u**3 + c*u and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (50\/(-12))\/(-25) - 65\/(-6). Let b(r) = -r**3 + 12*r**2 - 10*r - 7. Calculate the smallest common multiple of 96 and b(q).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -627624 * -0.08\nAnswer: 50209.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11012 (base 3) in base 7?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11783 (base 14) to base 9\nAnswer: -64445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2ba1 (base 13) to base 4\nAnswer: 1203300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 50. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226577 greater than or equal to -51\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*j = -148, 4*j - 156 = 4*o + 2*j. What is the units digit of (-12)\/2 - (o - 317)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) + (-8)\/3. Let w = 4 + v. Let a be (w\/(-3))\/((-2)\/4). Sort 3\/7, 4\/3, a in increasing order.\nAnswer: 3\/7, a, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 14 = 3*f - 6*f, 2*f - 4 = 2*h. Put -2, f, 2 in ascending order.\nAnswer: -2, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2021473*i**2 - 4*i - 13663792?\nAnswer: -4042946*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/11, 3, -1, -6\/103?\nAnswer: -6\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 1.452739.\nAnswer: 8.716434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.446578 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 2:03 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(13) + 0)**2 + -2*(0 + sqrt(13)).\nAnswer: -2*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 64*w**2 - 8. Let q(j) = 1921*j**2 - 238. Let k(v) = 119*h(v) - 4*q(v). Let g(x) = 54 - 54 - 2*x. Calculate k(g(l)).\nAnswer: -272*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l - l**2 - l**2 - 3*l + 57*l.\nAnswer: -2*l**2 + 67*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 6)\/3*-1. Let u(p) = -p + 5. Let j be u(s). Let k = j - -68. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-7))\/(g\/g**(2\/15)) assuming g is positive.\nAnswer: g**(107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-27 - (4 + -19)) - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3212\/73)\/22*((384\/(-76))\/(-6))\/2.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 125 - 124 = 0. Let m be -5 - 2*3\/a. Let q = -881\/10 - -88. Which is smaller: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, 0.4, -5, 0.0422?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*r - 6*r - 5*r)*(4 - 6 - 2*r + r)*(-r**2 + r**2 - r**2).\nAnswer: -41*r**4 - 82*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 13*n**3 - 395*n**2 + 1. Let a(s) = -7*s**3 + 197*s**2 - 1. Determine -15*a(t) - 8*h(t).\nAnswer: t**3 + 205*t**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 9*y + 9 = m, y + 3 = 2*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2571, 4026, 5627, 7374, 9267?\n\"Answer: 73*p**2 + 1236*p + 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -6. Let f(h) = h**2 - 25*h - 303. Let t be f(-9). Does 15 divide w\/(-18) + -425*t\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Let b(t) = -2*t. Let u(d) = 2*b(d) - 2*p(d). Calculate u(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*a**5 - 87*a**4 - 126*a**3 + 318*a**2 + 135*a - 231 = 0. What is a?\nAnswer: -7, -11\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 22 = -5*n - w, w = 5*n + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58820 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1206410 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -6 + 22. Suppose 3*j = -u*m + 9, 0*m - 2*m + 5*j + 37 = 0. What is the third derivative of m*t**2 - 16*t**2 - 3*t**2 + 3*t**2 + 8*t**3 wrt t?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 924\/378*180\/100*10\/4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26*-3*6\/(-4). Let u = -2511 + 2524. Calculate the greatest common factor of u and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*q - 5 + 3 = 0, 4*a - 5 = 5*q. Suppose a = -w - w - 6. Sort w, -2\/5, 0, -5\/4 in descending order.\nAnswer: 0, -2\/5, -5\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 1:06 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -4. Let q(k) = -3*k + 0*k - j*k. Let x(b) be the first derivative of b**2\/2 + 3. Calculate q(x(p)).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 4*n - 12, 3*n + 3 = u + 2*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93078.66 hours in seconds?\nAnswer: 335083176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/5 + -3\/10. Sort d, -8, 49 in ascending order.\nAnswer: -8, d, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2589, 1849, 1097, 327, -467, -1291, -2151, -3053?\n\"Answer: -h**3 - 733*h + 3323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 3, -262, 1, -36 in ascending order.\nAnswer: -262, -36, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21074317 or 21074320?\nAnswer: 21074317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-10))\/(26\/65)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.09, -2\/5, -959 in decreasing order.\nAnswer: 0.3, -0.09, -2\/5, -959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 130 = 2*n - 138, -100 - 4 = -26*n - 5*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**3\/3 + 6*w + 2. Let o be f(0). Suppose -k = k - o. Solve h = -4*z + 9, -z = h + h + k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.071 * 0.03.\nAnswer: -0.00213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000367715956 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 559, 558, 557?\n\"Answer: -o + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 11*f - 18. Let t be g(14). Calculate the highest common divisor of 36 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + z + 2. Let h be k(-1). Suppose 5*g - h*g - 381 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-36) + (-4)\/18. Suppose 3*i = -4*x + 17, x = 1 + 4. Let h be 4\/(-72)*4*i. Which is the second smallest value? (a) h (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65954498*w**6 + 225509*w**2?\nAnswer: -7914539760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*s**3 - 335*s**3 - 565*s**3 - 331*s**3 + 1909*s**3 - 341*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - b + b. Let t be k(6). Let i(a) = -6*a - 12. Let m be i(-10). What is the greatest common factor of m and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-4))\/((-14)\/(-84)). Are -1 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 5*w + 58, 4*w + 1738 = -3*q + 1704 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6 + 6*p - 4*p - 2*p**2 + 10*p - 30. Determine m(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22410103 bigger than -22410105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 + 0 + 37 - 1)*(o - 1 + 1)*(14 - o - 14)*(-3 + 1 + 1) to the form q*o**4 + c*o + k*o**3 + n*o**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4385, -8772, -13159, -17546?\nAnswer: -21933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/(20*3\/270). Put -70, s, -2 in descending order.\nAnswer: s, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 7:14 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*h - 3 + 23*h - h**3 - 5*h + 3 to the form c*h + d + y*h**2 + o*h**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11a4 - 789a?\nAnswer: -8a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -5\/6*b**3 + 0*b**4 + 0*b**2 + 0*b**6 + 1\/6*b**7 + 0*b**5 + b + 0. What is the second derivative of p(f) wrt f?\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + 200. Is 1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**7\/14 + 33*l**6\/50 + 33*l**5\/100 - 9*l**4\/4 - 8*l**3\/5 + 18*l**2\/5 + 600*l - 2. Solve w(b) = 0.\nAnswer: -6, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 164325348*w**2 + 253481925.\nAnswer: 328650696*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -757, -661, -563, -463?\n\"Answer: b**2 + 93*b - 851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence raaa when four letters picked without replacement from {b: 5, r: 2, a: 3}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 1622706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -m - 5, 4*m - 11 = 4*q - 15. Calculate the highest common divisor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*n - 1 = d, -5*n = -5*d + 65. Suppose 2304 + d = 11*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329640 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**2 - 34696*s = 0.\nAnswer: -8674, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + 4*n**3 - n**3 + (22*n + 4*n - 14*n)*((-n + 4*n - 4*n)*(-2*n - 4 + 4) - n**2 - 2*n**2 + 4*n**2 - 3*n**2 - n**2 + 3*n**2).\nAnswer: 26*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 7. Let y be f(7). Suppose y*a + 6 = -3*a. Find the common denominator of 1 + (-45)\/16 + a and -69\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/15*10)\/(-3))\/(4\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53748744, 53748738, 53748732, 53748726?\nAnswer: 53748720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(-1)*72\/(-48)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10.058287045 and -0.2?\nAnswer: 10.258287045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2047 + 6249 = 103*v + 19*v. Calculate the least common multiple of v and 234.\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34128b (base 13) to base 6\nAnswer: -42214005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/7409387289 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -22916*f - 91657. Let i be c(-4). Determine p so that 6 + 8\/3*p**2 + i*p + 1\/3*p**3 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 341024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + 0.3. Let n = 2.2 + -2.1. Put s, n, 4 in descending order.\nAnswer: 4, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 1)*2.\nAnswer: 2 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 33*y - 16. Let z(v) = 34*v - 17. Give 5*k(p) - 4*z(p).\nAnswer: 29*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2185*o - 134400 = -2335*o. What is the lowest common multiple of o and 4480?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = j - 3*m - 43, -2*j - 3*m = -31. Suppose s + 4*z = 19, 4*s = -z - 7 + j. Suppose s*d = -d + 28. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1208607 + 101?\nAnswer: -1208506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 35 = 5*h - 30, 17*v = 5*h - 158 - 63 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 457994 divided by 23.\nAnswer: 457994\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3 = 0, 14*z - 31*z + 16*z = 3*t + 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2))\/1*(-6)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*493638.\nAnswer: 2468190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 467262414 to the nearest integer?\nAnswer: 21616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96503 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -234 (base 13) to base 2\nAnswer: -101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2035 + 2151. What is the remainder when o is divided by 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370.0208ml in litres?\nAnswer: 0.3700208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3812, -3813, -3814, -3815, -3816, -3817?\n\"Answer: -u - 3811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 209, 160, 77, -40?\n\"Answer: -17*l**2 + 2*l + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**10\/75600 + x**9\/30240 - x**8\/10080 - x**7\/2520 - x**5\/15 + 4*x**2. Let w(m) be the third derivative of j(m). Factor w(v).\nAnswer: 2*v*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**5 - 5*j**5 + 3*j**5)*(2 - 5 + 2) + (-4*j**2 + 0*j**2 + 2*j**2)*(-43*j + 338 - 338)*(-2*j**2 + 1 - 1) + 0*j**5 - j**5 + 3*j**5.\nAnswer: -168*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 18 - 21) + 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {u: 1, l: 9, o: 3, h: 5}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from fmbffsffc.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3485\/30 + -2 - 2\/12. What is the second derivative of -42*b + o*b**2 + 4 - 2 + 33*b wrt b?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/10450 and 73\/9500?\nAnswer: 104500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/307?\nAnswer: 1\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -765 - -763. Let k(d) = -614*d - 15. Is k(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 - 23 - 3*b - 3 in the form i*b + r and give r.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 4:40 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.6, -2\/7, -2\/9?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + sqrt(132)\/(3*sqrt(1200) - sqrt(12)) + -1.\nAnswer: -6 + sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 42?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*(-4)\/4*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r + 3*b + 15, 4*r + 3*b = 12. Let j(y) = -1 - 3 - 6*y + y**2 + 3. What is the least common multiple of r and j(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 7*b**2 + 7*b - 6. Suppose 3*h - 31 = 2*z - 0*h, 3*z = 2*h - 34. Let w be d(z). Suppose -w*t = 7 - 23. Solve -k + t = 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 80\/3, 25\/3, 5, -0.2, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 4. Let v(z) = 0*z**2 - z**2 - 1 + 3*z - 2*z. Let l(t) = -5*t**2 + 7*t - 8. Calculate g*l(m) + 6*v(m).\nAnswer: -m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 700*m**2 + 146*m**2 + 19*m**2.\nAnswer: 865*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 12298.\nAnswer: 61490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*w - 3*h - 1, -3*w - 4*h + 3 = 0. Is w - 31*(-3 + -1121) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21864 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*i - 126*i + 70 = 0. Calculate the highest common divisor of 6 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h + 5 + 11*h**5 - 10*h**5 + 3*h + (-11*h**3 + h**5 + 11*h**3)*(-1 - 1 + 0).\nAnswer: -h**5 - 4*h + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/441 + 586\/441. Let y = -964\/5 - -192. Let p = 31 - 29. Which is the third smallest value? (a) l (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, j: 6, k: 2}. Give prob of picking 2 d and 2 j.\nAnswer: 27\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z. Let n be l(-3). Let u be (n\/6)\/((-1)\/12). Is 9 a factor of (u\/10)\/(1\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 23121 (c) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/6*(-1 - -7). Round a to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1700) + 0 + (sqrt(153)\/(sqrt(9) + -5*sqrt(54)\/sqrt(6)))**2.\nAnswer: -15\/16 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/4 and 10\/65 + (-986)\/(-182).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 54*x**2 + 53*x + 8. Let w(z) = 161*z**2 + 142*z + 23. What is -8*o(f) + 3*w(f)?\nAnswer: 51*f**2 + 2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z + 0*z + 3*z + 4 - z**2 - 5. Let d be k(-6). Let g be 8\/10 + d\/(-5). Solve t - 4*n - g = -13, -t = n - 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*g**2 + 666*g - 2268 = 0. What is g?\nAnswer: -126\/19, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/sqrt(3) + -1 + sqrt(12).\nAnswer: -1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 84403.69 and 0.2?\nAnswer: 84403.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1622 (base 8) to base 13.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20265.58937 + 10?\nAnswer: 20275.58937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133 + (-47 - (-76 + 170)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -a255814?\nAnswer: -a255817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 5660?\nAnswer: 5653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3531 + -1?\nAnswer: 3530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 1 - 3*s + 2 - 5*s. Is j(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/50 - (-206)\/10. Suppose 5*d - 4*t - p = 0, 8 = 2*d - d + 3*t. Solve -d*m = 2*g + 17, 2*m + 5 = 4*g - m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 875093749?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/10 - 1\/2. Let k(b) = b. Let d be k(2). Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -7. Let i be 2 - (-1 + 2 - 3). Suppose p + 8 = 4*w, -w - f = 4*p - i*w. Solve x - 4 = 0, -3*m = 4*x - 13 - p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2327131*x. Let c(g) = 5*g + 18. Calculate c(n(w)).\nAnswer: -11635655*w + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + 8*j + 15. Let l be r(5). Let t = -154 + l. Solve 2 = p - t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -48*u**4 + 1128*u**3 + 5733*u**2 + 8670*u + 4200 = 0.\nAnswer: -2, -5\/4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 2. Let p be i(-5). Let h be (-5 - 0)*(-8 - p). Let s(o) = -o**3 - o - 5. Let n be s(h). Round n to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 + 184. Let m be 2\/(-5) - 2170\/f. Let p = m + 29. Which is the second biggest value? (a) p (b) 3\/4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j + 15. Let u(z) = -3*z - 8. Let s(c) = -5*u(c) - 3*x(c). Let r be s(-3). Does 3 divide r\/16 + 105\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5416?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0108 (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 8568774*t + 25706304.\nAnswer: 2*(t - 4284384)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127903508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 18 = -2*n - 3*z, 5*z - 30 = 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10663 or -10665?\nAnswer: -10663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**2 + n - 3. Let m(t) = 0 + 631*t**2 - 3*t - 632*t**2 + 6*t - 2*t + 1. Determine d(y) + 3*m(y).\nAnswer: y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1358591 to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 + 11*y**2 + 13*y + 3. Let r(n) = -n**3 - n - 1. Let h(v) = -3*r(v) + z(v). What is the units digit of h(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 + 44*w**2 - 30*w + 54. What are the prime factors of t(12)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and 3?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -29ad1?\nAnswer: 29ad3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2, 4, 3.79 in decreasing order.\nAnswer: 4, 3.79, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 101.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 9176606.286?\nAnswer: -9176605.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/9)\/(-8)*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2417957 * -5\nAnswer: 12089785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n + 45*n = -3, z = 5*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -31*b**2 + 305*b - 235. What is w(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*y = 4, 3*x - y = 2*x - 1. Let k = -2 - -2.5. Which is the fourth smallest value? (a) k (b) 0 (c) x (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*f + 2*f = 0, 3*f - 3 = 0. Let x(h) = -5*h**2. Let q be x(1). Which is the second smallest value? (a) q (b) v (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.229 * -2.\nAnswer: 0.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9541123 divided by -1.\nAnswer: -9541123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (85\/(-51))\/(2\/(-6)). Find the second derivative of 0*y**4 - 28*y + 7*y**r + 0*y**4 + 4*y**5 wrt y.\nAnswer: 220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 0 - -4 - -2. Suppose 2*k + 5*f + 12 = -k, -4*k - x*f = 8. Which is greater: k or 2\/105?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(19) + (sqrt(1900) + 3 + sqrt(1900) - sqrt(1900) - sqrt(1900)) - sqrt(171)\/(sqrt(81) - sqrt(9)))**2.\nAnswer: 47\/4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(40\/240)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1777*a - 3436 = -1774*a, 2*q = -5*a + 3436. What is the highest common divisor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 34*p**2 + 69*p - 11. Let a(b) = 17*b**2 + 35*b - 6. Let r(s) = 11*a(s) - 6*v(s). What is the second derivative of r(w) wrt w?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27100)\/(-10840))\/((1550\/(-16))\/5)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -39, -2.\nAnswer: -39, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -15*b**3 - 2*b**2. Let v(w) = -44*w**3 - 7*w**2. Give -7*s(j) + 2*v(j).\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:04 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five halves of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 36631782 - 36631782.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7136, -7, -1 in decreasing order.\nAnswer: -1, -7, -7136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3630570*c**2*r**4 - c**2*r - 95753*c**2 - 2*r**5 + 13*r wrt r?\nAnswer: -43566840*c**2*r**2 - 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 285259 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: Let x(i) = 11*i - 2. Let k be x(2). Let r = 22 - k. Suppose r*c = 1 + 5. Solve y = -c*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829\/2691 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 7:27 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n = -6. Let h = -4 + n. Is 47 + (2 - (2 + h)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 258*z**2 - z + 3. Let i(x) = 129*x**2 + 1. Let b(u) = 2*c(u) - 5*i(u). Let a be b(1). Let g = -77 - a. What are the prime factors of g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*o + 56 = 0, -2*f - 28 = -3*f - 4*o. Is 16 a factor of 1*(f*2 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 6 = 2*h, -2079*h + 2076*h - 4*c = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -c + 15. Suppose o - c = -5*i, i = 5*o + 4*i - 40. Solve 5*k + 2 = a + a, 0 = 3*a - o*k - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69257771 by -11.\nAnswer: 6296161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69637179 or 69637183?\nAnswer: 69637183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 3*n**2 - 2*n - 2. Let w be l(4). Solve -2 = 4*q + w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, r: 1, s: 2, d: 2}. Give prob of picking 1 d and 1 s.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v = -46*v + 6. Suppose -v*b = -5*b. Let a(w) = w**3 - 4*w**2 + 2. Let r be a(4). Solve b - 2 = r*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -905*d + 9056. Give i(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 142.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3\/7)*i*i)\/(i\/i**(7\/5)*i)*i**(-3)*i**(-7))\/((i**(1\/2))**(-49))**(10\/17) assuming i is positive.\nAnswer: i**(3798\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnxttnttxtttxx. Give prob of sequence ntn.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*m**2 + 421 + 748*m**2 - 15*m**2 + 146*m - 419.\nAnswer: 1014*m**2 + 146*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t. Let m(q) = -q**2 - 4813*q + 471. Calculate m(v(n)).\nAnswer: -64*n**2 - 38504*n + 471","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10\/51 + -28\/663. Let y(w) = -2*w - 2. Let u be y(-4). Let v be ((-33)\/(-110))\/(u\/5). Which is smaller: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 31. Let q = o - 12.00000056. What is q rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0789 + -1.0789. Let l = 14.4 - 14. What is the closest to -0.2 in 2\/7, l, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {g: 3, u: 6, t: 3, v: 2, q: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/3 - 3)\/(-2). Let r be (1 + l + -2)\/2. Round r to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 584085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 2*x**2 - 41 + 41.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 23 = -7*d. Suppose 10 = -d*u + 2*o, -2*o - 4 + 14 = 3*u. Solve 0*y - y + 1 = u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1292 times -0.01\nAnswer: 12.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*p, 0*p = 5*j - 3*p. Suppose -3*l = -j*x + 2*x - 17, 2*l + 2*x = 12. Suppose 4*w - 5*m + 2 = -3*m, 0 = -3*m + 3. Solve -6*n + l*n + 2 = w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 4*n**5\/5 + 7*n**3\/3 - 231*n**2\/2 - 155. What is the second derivative of h(t) wrt t?\nAnswer: 48*t**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11423320 - 5?\nAnswer: -11423325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + t - 15. Let w be ((-399)\/(-81))\/(2\/(-60)). Let z = -148 - w. Which is the biggest value? (a) 0.3 (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.3491382 rounded to zero decimal places?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -4*h - 19. Suppose 0 = m - 3*m. Let x = m - -4. Calculate the highest common factor of x and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*v + 48 = 0, -v + 5*v = 0. Let l be 8\/12*(-27)\/6 + 7. Suppose 6*w + 16 = 5*b + l*w, -3*w - 10 = -4*b. Solve 0*u = b*u - q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3202.00002562 - 3202. Round l to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/6 - (-4)\/6. Let s be (-4)\/u + 1 + -21. Let i be s\/(-20) - (-3)\/(-6). Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 254258029*r**3 - 181438*r**2 + 676?\nAnswer: 1525548174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511104319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 161*g + 144 - 79 - 215.\nAnswer: 161*g - 256","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 2*s - 28, 11*u + 42 = 1148*s - 1145*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 333 + 657. Suppose 3*x - 522 = n. Suppose 2*p + 240 + x = 2*j, 1195 = 5*j - 4*p. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/24*3*(-907)\/19954\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2736 divided by 19.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 5*r**2 - 17*r - 16. Determine a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 87.2 * -1765.27\nAnswer: -153931.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -8*j + 34. Let d be h(4). Suppose 0 = 3*i - 2*x - 6, 2*i - x + 1 = d*x. What is the smallest value in -3, i, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**5 + 1814*m**4 - 10907*m**3 + 23648*m**2 - 21836*m + 7280 = 0.\nAnswer: -1820, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2336598 and 4752.\nAnswer: 56078352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4, 0*g - 4*b + 785 = g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**2 - 118*r - 27. Give j(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 57*n**2 - 21625*n + 15499. What is z(178)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 729\/1471 - -13\/2942. Factor 5*k**3 - 1\/2*k**2 + z*k**4 - 5*k + 0.\nAnswer: k*(k - 1)*(k + 1)*(k + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 620 + -596. Calculate the greatest common factor of 744 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - r + 247 - 222 = 0, -99 = -3*g + 5*r. Solve -31*s = -g*s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8325\/(-27750))\/((-786)\/(-40)).\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 1. Let o = -3 - w. What is the remainder when o is divided by 3 - (7 - 1) - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = -0*a + 11*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23225?\nAnswer: 5, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25ae - 75e3?\nAnswer: -5035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 7260 = 2*c, 5*h + 3*c - 7230 = 7*c. List the prime factors of h.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 346673108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1459?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + 1 + -1*sqrt(320) + 6*(sqrt(320) - -2*sqrt(320)) + -5).\nAnswer: -8 + 272*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 89*y**2. Let l(p) = p**2 + 18*p + 34. Let s be l(-16). Let k(d) = d**2 - 3*d**2 + 3*d**s. Calculate k(w(t)).\nAnswer: 7921*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 7:23 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*b + 4*b. Let a be 10\/b*12\/30. Put 0.2, -0.5, a in decreasing order.\nAnswer: 0.2, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2 + (sqrt(17) - (4 + sqrt(17)*-2)))*3 - (2 + 4*(sqrt(34) - sqrt(544))\/sqrt(2)))**2.\nAnswer: -840*sqrt(17) + 7896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g**2. Let u(d) be the second derivative of d**5\/120 + d**3\/2 - d. Let p(l) be the second derivative of u(l). Calculate p(t(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28138\/704 - (-22)\/704. Solve 0 = v*r - 20*r - 120 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**4 + 6*d**4 - 3*d**4 + (2*d**4 + 0*d + 0*d)*(5 - 4 - 2) + 303*d**2 - 303*d**2 - 441*d**4 - 8*d**4 + d**4 + d**4.\nAnswer: -450*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 < 62887\/4342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*a - 5*a + 195 = 0, 0 = 5*a + 5. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 3. Let l(w) = -x*w + 4*w - 2*w**2 + 3*w**2. Let s(d) be the first derivative of 8*d**3\/3 - 5*d**2\/2 + 2*d - 1. What is -6*l(y) + s(y)?\nAnswer: 2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 7*r**2 + 5*r + 9. Give v(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653.33 seconds in nanoseconds?\nAnswer: 1653330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16693 (base 15) to base 10.\nAnswer: 72363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 346890 = -10*v - 14822. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*(s*s**(-11)*s)\/s)\/s)\/s)**(-24))**(-1\/24))**(12\/13) assuming s is positive.\nAnswer: s**(-132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7612774)\/(-572) - (-2)\/(-44) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 491590, 491528, 491466, 491404?\nAnswer: 491342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112 + 1640015?\nAnswer: 1640130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4430044 - 20?\nAnswer: -4430114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1397 and 508?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 9:42 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 4. Let c be (-16)\/7 + (-2)\/(-7). Let p(g) = 2. Let v(s) = c*r(s) - 4*p(s). Is 10 a factor of v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1645.\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 - -141425404?\nAnswer: 141425435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.034 + -6.1. Let t = a - 14.134. Let n = t - 5.8. Put -2\/5, n, 5 in ascending order.\nAnswer: n, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*z - 36037 - 57687, z = 2*d - 62464. Is d a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 182490*m - 182507*m - 221 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*q + 2*q. Find the third derivative of -q*b**4 + 5*b**2 + 7*b**4 + 7*b**4 wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -24. Suppose 0 = 4*m - 5*m + z. Suppose -47 = -m*t + 34. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225\/891 - 33\/(-297).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 240 - 145. Let g(n) = -n**2 - 10*n + 3. Let u be g(-8). Calculate the highest common divisor of u and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -312247, -311347, -310437, -309511, -308563, -307587?\n\"Answer: y**3 - y**2 + 896*y - 313143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -21*q + 91. Let a = -469 + 472. Calculate the lowest common multiple of 24 and x(a).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 160\/24 + (-2)\/(-4) and 33.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*s + 2373*s + 48*s - 33486 = 57127 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*8672\nAnswer: 867.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*f + 1004*f + 4843*f.\nAnswer: 5637*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-5*1*sqrt(637))**2 + -4 + (-2 + (-1*sqrt(637))**2 - ((3 + sqrt(637) + -1)**2 - sqrt(637) - sqrt(637))))*-3.\nAnswer: -764370 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7465495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 111348 and 102?\nAnswer: 1892916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1bca06ba - -6?\nAnswer: 1bca06c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391279?\nAnswer: 7, 55897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7319 + -7314. Put -4, 4, c, 2\/93 in ascending order.\nAnswer: -4, 2\/93, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k - 1488. Let l be ((-1)\/(-390))\/(3\/k). Let d = l - 2\/65. What is the second smallest value in d, -5, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60 in -0.171, -0.4, 4, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttnt when four letters picked without replacement from nntnttttttn.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 7*n**2 + 11. What is a(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1797 (base 10) to base 4\nAnswer: -130011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crec when four letters picked without replacement from {r: 1, e: 1, c: 13}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 289, -5 in decreasing order.\nAnswer: 289, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118438638.\nAnswer: 2, 3, 23, 858251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 552062994 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 20.1. Let t = f + 0.5. What is the closest to -0.1 in t, 5, -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 134 + 92 = -88 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 1.2. Let u = 0.5 - 0.8. Which is the smallest value? (a) 1 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2200))\/(sqrt(11) + (sqrt(11) - sqrt(88)\/(sqrt(16)\/sqrt(2)))))**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 25 = -4*w, -2*w - 1 = 4*r - 33. Solve -5*j - 5 = 0, 3*h + 0*h - w = -5*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 8*b - 8. Calculate k(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 27 = 1. Suppose -w = -2*t + 45, -2*t = -4*t - 5*w + 15. Calculate the remainder when t is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 4, -4.6, 8, -5, 7\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3355, -6605, -9925, -13351, -16919, -20665, -24625?\n\"Answer: -6*w**3 + w**2 - 3211*w - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 12 + 4*t - 12. Let i(o) = -4*o. Let u(a) = 10*a. Let g(w) = -12*i(w) - 5*u(w). Calculate j(g(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/30 + ((-1)\/3 - -1). Suppose -4*v - 2*y = -3*v - 5, -5*v - y = -25. Suppose v*c = -s + 22, 0 = -4*s - 5*c + 8 + 20. Solve -l - j = s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200020 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/204*3 + (-2508)\/(-68). Suppose 29 + h = 3*z. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 56 - 41 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 7*i - 2. Let x be m(6). Sort 1, 0, x in ascending order.\nAnswer: 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-972)\/63)\/(-18))\/((702\/3528)\/(-13)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1254.7 to the nearest ten.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12 = -3*x. Suppose x = 3*y - 3. Does 3 divide 1\/(-2)*(y + -16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 415683 - 249226. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*g + 9 = 0, 876 = -3*v + 4*g + 859 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1037*g - 70. Is a(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 765*h - 2414*h - 3 - 30*h**3 + 871*h + 778*h + 3.\nAnswer: -30*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51366, -102358, -152952, -203148?\nAnswer: -252946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164 - 165. Which is the nearest to 0.1? (a) 45 (b) -4\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -0.388577, -5\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*o + (-1 + 1 - 1)*(3*o - 2*o + 0*o))*(2*o - 2*o + o) - 234*o**2 - 91*o**2 - 385*o**2.\nAnswer: -709*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3549 and 9464.\nAnswer: 28392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t. Let z(o) = 128219*o**2. Calculate k(z(b)).\nAnswer: -1282190*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11168122 to the power of 1\/2, to the nearest integer?\nAnswer: 3342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 3:02 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**3 + 4*j - 3. Let n(z) be the first derivative of 0*z**3 + 11\/2*z**2 - 2 + 17\/4*z**4 - 8*z. What is -11*k(l) + 4*n(l)?\nAnswer: 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**4\/2 + g. Let c(b) = b**3 - 59*b**2 - 126*b + 243. Let n be c(61). Let p(w) = w**2. What is n*z(d) + 2*p(d)?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 20 = -2*f + 2, 7 = -3*f - 2*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -6)\/(2 + 0 - 12). What is the nearest to -4 in 0.5, -4\/7, q?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19\/2 in 0.0418, -1, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 369 - 1362. Let w = g - -993.00000771. What is w rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**(1\/14)))\/(v*v**(-21)*v)*v**12\/v**24 assuming v is positive.\nAnswer: v**(85\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -3, 6023.\nAnswer: -3, -2, 0, 6023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 12 + 4. Let v(p) = 5*p**2 - 4*p + 2 - 3 + 5. What is the tens digit of v(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*q**4 - 48*q**3 + 44*q**2 - 16*q + 2.\nAnswer: 2*(q - 1)**2*(3*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 51*f - 160. What is h(17)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -26*f**3 + 17*f**2 - 2*f - 10. What is c(3)?\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*a - 325 = -7, -d + 159 = 5*a. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*w + 12. What is the greatest common factor of w and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 5*c**2 - 5*c - 6. Let d be u(-4). Let g = 1977\/7 - 283. Which is greater: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 935 + -933. Solve 5*v - 4*r + 10 = 0, q*v = v - 5*r - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001101011110010010 (base 2) to base 13.\nAnswer: 1739ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnvl when four letters picked without replacement from innnnfhlvnn?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3033.386 rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 117 or -1\/6?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 509 + -36309367\nAnswer: -36308858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-48)\/(-56)*(20475\/(-200))\/39.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*3)**2*-1.\nAnswer: -4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - 72. What is the biggest value in d, -2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241853892665 take away 11?\nAnswer: 2241853892654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16677, 66727, 150149, 266943, 417109, 600647?\n\"Answer: 16686*y**2 - 8*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3153 + -3070. What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 17. Let p be g(18). Let u be -3*(-112)\/(-24) - (p - 1). Calculate the remainder when 65 + (-3)\/(9\/u) is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + (8 - 10) - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59*t - 9 + 11 - 25*t)*(2 - 1 - 4) to j*t + i and give j.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 668346.\nAnswer: 1\/222782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8809\/9 - 104\/(-468) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2227364624821 take away -2?\nAnswer: 1.7772635375179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9 + 11*j + 8 - 7 + 27 - 6. Let h(o) = -17*o - 47. What is 8*b(x) + 5*h(x)?\nAnswer: 3*x + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 17*g**2 - 20*g + 9. Give v(18).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) 1120 (c) -47723\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4156 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 = -0*s. Let p(d) = -d**2 - 2*d + 3. Let j be p(-6). What is the remainder when 8\/3*j\/(-4) is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*f**2 + 6*f**2 + 5*f**4 + 3*f**2 wrt f?\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -2)*4\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y**3 + 115*y**2 - 310*y + 148. What is t(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37.029 + -37. Let m = -21.029 + n. Let o = m - -23. What is the biggest value in 1, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6300) + sqrt(6300) + 2*1*sqrt(6300) - (sqrt(6300) + sqrt(6300) + (-1*sqrt(6300)*1 - sqrt(6300)) + sqrt(6300)))\/(-2*-5*-1*sqrt(441)).\nAnswer: -3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = 1. Let c be 0 - -2 - (u + 0). Suppose 11*a - 6 = c*a. Solve -n - 28 = 3*n - 4*i, -3*n + a*i - 17 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 y, and 1 b when three letters picked without replacement from ssssssyybsmyssmsspw.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 258788857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 32*y - 2. Calculate the smallest common multiple of 20 and u(2).\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 31 = -109. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40862*0.02\nAnswer: -817.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 6 - 4. Suppose 6 + 18 = z*q. Calculate the least common multiple of 8 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4615 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**5\/15 - 2*q**2 - 26. Let m = 9 + -6. Let f(l) = -m*l**2 + 5*l**2 + 0*l**2. Calculate b(f(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4412886 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -1\/6*h**4 + 1\/7*h**7 + h**2 + 107*h + 0 + 0*h**5 + 0*h**3 - 1\/10*h**6. What is the third derivative of f(u) wrt u?\nAnswer: 360*u**2 - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**2 - 16*n**2 + 6*n**2 + n**2 - 944.\nAnswer: n**2 - 944","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -181ab (base 13) to base 4\nAnswer: -23111233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 5*r - 38. Let s be w(-20). Let q = s - 257. Solve -5*t + 20 = -q*d, t - 4*t - 8 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.816 - 1.14. Round q to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 318 and 530.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**8\/112 + 2*g**6\/45 - 7*g**3\/3 - 16. Let l(t) be the third derivative of h(t). Find the third derivative of l(d) wrt d.\nAnswer: 360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3205 - -3209. Let s(m) be the third derivative of m**5\/60 - m**4\/3 + 2*m**3\/3 - 3*m**2. Give s(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12))\/((44145\/135)\/(-13734)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 24*q + 1. Let t be u(-24). Let j be ((-3)\/(6\/(-220)))\/2. Let p(o) = -t + 111*o - j*o - 58*o + 10*o**2. Determine p(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**3\/3 - 2*p**2 + p - 1. Suppose 9*b - 11*b + 321*b = 0. Let v be t(b). Solve 6*k - v = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10110110121111 (base 3) to base 12\nAnswer: 748794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 12*o = -342. Suppose -5*b + 4 - 29 = 0, -4*j + b = -313. Let t = o - j. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 11 + (-3 - 9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.393 - -0.4624. Round m to three dps.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 4*z - 7*z - 3)*(2*z + z**2 - 2*z).\nAnswer: z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*v = r + 58, -6*v - 99 = -3*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*2*sqrt(1125))**2*-2 + 2 + -2.\nAnswer: 675000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 464 divide 202815328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 681272776 to the power of 1\/3, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -561\/2 + 301. Find the common denominator of m and 25\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11031074, -22062178, -33093282, -44124386, -55155490, -66186594?\nAnswer: -77217698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/5 - 664*g**2\/5 - 1316*g\/5 - 656\/5.\nAnswer: -4*(g + 1)**2*(g + 164)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + u**2 - 1. Let y(m) = -4*m**3 + 5*m**2 - 5. Suppose 0*x - 3*g = -x + 43, 3*g = -x + 55. Suppose -q - 44 + x = 0. Give q*b(z) - y(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**2\/2 - k + 7. Let x be s(-9). Suppose 651 = 14*n + 791. Is x != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/24)\/(32\/(-168))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1135705504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -533, -862, -1191, -1520?\n\"Answer: -329*a - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -45354 times -0.34\nAnswer: 15420.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/(-651) - (-3)\/21 - (-12)\/14?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**47\/(k\/k**0)**(11\/9) assuming k is positive.\nAnswer: k**(-445\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36806*o**5 + 92496*o wrt o?\nAnswer: -736120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*b*s**4 + 15947*b*s + b - 9*s**3 wrt s.\nAnswer: 1764*b*s**2 - 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 51.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1239 and 33276?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 1. Let h(w) = w**3 - 4*w**2 - 5*w + 3. Let x be h(5). Suppose -5*s = -l - 19, -3*s = x*l - 8 - 7. Let k = s + -3. What is t(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 3113919?\nAnswer: 2\/1037973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/3 - z\/3 - 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/12)*w)\/(w*w**(-1\/4)*w))\/(w*w\/w**(-5)*w*w\/(w\/w**(-1))) assuming w is positive.\nAnswer: w**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/7 + 683322*t\/7 - 62882552\/7.\nAnswer: 2*(t - 92)*(t + 341753)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0414 or 2\/3?\nAnswer: 0.0414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.4 (b) -3 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -10*q + 46. Let t(m) = 601*m - 1799. Let p be t(3). Give a(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 0.0113 (b) -1 (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2146289 times -5?\nAnswer: 10731445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 560\/(-350) - -2*1. Solve h*z + 8\/5 - 8\/5*z**2 - 2\/5*z**3 = 0 for z.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2482, 9169, 20038, 35083, 54298, 77677, 105214?\n\"Answer: -m**3 + 2097*m**2 + 403*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -57, -76, -145, -288, -529, -892, -1401?\nAnswer: -2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*u - 2*r, 7 = -u - 0*r + 2*r. Let k(d) = -d - 5. Calculate k(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 3. Let y be o(-5). Let v(g) = -2 + 0*g**2 + 6*g - g**y + 1 - 5. What is v(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 696151?\nAnswer: -19\/696151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 7*z**2 - 6*z - 5. Let g be d(5). Suppose -6*t + g = -3*t. Differentiate 3*m + 0*m + 12*m**2 - 3*m + t with respect to m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 2*a**3\/39 - 470*a**2\/13 + 110450*a\/13 + 845. Let i(j) = 0. What is j?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 11:22 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c**3 + c**3 + 0*c**3)*(109 + 13 - 25)*(2 - 1 - 2) to a*c**2 + s*c + i*c**3 + j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**3 + 40*w**2 + 11*w - 7. Let y(q) = 3*q**3 - 20*q**2 - 6*q + 4. What is 4*v(c) + 7*y(c)?\nAnswer: -3*c**3 + 20*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) -0.637 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*j - 7 - 2, 5*o - 3*j = -28. Let g = -1171\/7 + 167. Which is bigger: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 minutes before 2:27 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**5\/20 - 804*s**2. Let m(b) = -54*b**2. Give m(u(c)).\nAnswer: -486*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*r**2 - 1106*r**2 - 2 - 1 + 118*r**2.\nAnswer: -1045*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*z - 454, 1128 = 5*k - 2*z - 0*z. What are the prime factors of k?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/53 + -45\/212. Let j = 19 + -12. Let g = j + -37\/5. Which is the nearest to 0? (a) d (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 91.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/6 - (-217 - 56750\/(-250) - (-1 - 0))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t - 16. Let k(n) = n + 2. Let b(f) = -i(f) + 2*k(f). Calculate b(17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(12)\/(-6*sqrt(6)) - sqrt(2) - sqrt(2) - sqrt(2))*2)**2*5.\nAnswer: 7220\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 84*m**2 - 44*m + 103. Is s(82) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18468461 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 565 and (3 - (-243)\/9) + (3 - -2)?\nAnswer: 3955","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 1 + 1)*(-2*u + 13*u + 2*u) + 0*u**2 + 3*u**2 - u**2.\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 - r**2 + 8*r - 3. Let s(d) = -7*d**3 + 3*d**2 - 15*d + 5. Let p(h) = 2*s(h) + 5*x(h). Is p(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3259 times 5\nAnswer: -1.6295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-74)*12392\/(-10843)?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5358 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 11:59 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.89 + -22. Let n = y - -10.110000603. What is n rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10318 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 48, -14.5, 5.58 in ascending order.\nAnswer: -14.5, 2\/3, 5.58, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318732253 to the nearest integer?\nAnswer: 17853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**8\/840 - u**5\/24 + 2*u**3\/3 + 1. Let j(t) be the third derivative of g(t). What is the second derivative of j(c) wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/9387517 or -1?\nAnswer: -5\/9387517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10944144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/4 + (2 - (2 - 2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 115303 + -2?\nAnswer: 115301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -15449*a**2 - 7*a - 7. Let z be h(-1). Is z\/(-70) + (-15)\/(-50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**4 + r**3 - r**2 - r + 2. Let b(u) = 2296*u**5 - 4*u**4 + u**2 - 63*u + 3. Let s(i) = -b(i) + 2*m(i). What is the third derivative of s(l) wrt l?\nAnswer: -137760*l**2 + 48*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/((-29886)\/1465)*((-12)\/(-10))\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81*-11.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*494244.\nAnswer: 24712.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1112.66876 to the nearest ten.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1531.94 + 1550. Let h = o - 0.06. Let d = 17 - h. Sort d, -2\/17, 5.\nAnswer: d, -2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -350 + -165. Let o = j - -1015. What is o rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14668 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3\/4 + 105*m**2\/2 + 585*m\/4.\nAnswer: 5*m*(m + 3)*(m + 39)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**3 - u**2 - 133*u + 403. Calculate the remainder when s(14) is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 472586 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 77, 221, 427, 713, 1097, 1597?\n\"Answer: 3*v**3 + 13*v**2 + 84*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 6 = -2*j - 66, -85 = 5*j - 3*n. Let q be ((-4)\/j - 4 - -4)*5. Solve -q = d - 0*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = -1066*p + 1079*p. Solve 0 = -13*a + p*a + 24 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/6 + 10\/(-15). Let w be 12\/(-3 - 21\/o). Let s = w - -32\/9. What is the common denominator of -33\/10 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -6. Let l(b) = 4*b + 2. Let p(t) = -t + 7. Let k(f) = f - 4. Let s(r) = 5*k(r) + 3*p(r). Determine j*l(a) + 5*s(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*s + 7 = 2*s, 4*k - 4 = 4*s. Suppose -i - 70 = -2*z - 0*i, -3*z - k*i + 105 = 0. Suppose -5*x + z = 5*y, 3*x - 16 + 1 = 0. Is y > 9\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 810 and 175408335?\nAnswer: 350816670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 263 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.0068 - -0.1109.\nAnswer: 1.1177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 6*q + 8. Let z be h(-6). Let k be (-1)\/((6\/16)\/((-708)\/z)). Suppose t - k = 77. Is t a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9486 and 5202.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149998 divided by 74999?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 27. Let c be p(9). Let s = c - 16. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 3. Let z be x(-18). Solve -3*b = 4*n + 8, 4*n + 3 = 2*b + z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376, 654, 932, 1210, 1488, 1766?\nAnswer: 2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -4, 27, 77, 2\/7 in descending order.\nAnswer: 77, 27, 2\/7, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -2*l - 12. Suppose -2*p + 4*r = -7*p + l, -4*p - 4*r = -40. Calculate the highest common factor of 40 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 24*g**2 - 68*g + 145. Calculate q(2).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 1, t: 1, f: 1, g: 4, j: 3}. What is prob of sequence wj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2023, -4029, -6035, -8041, -10047, -12053?\nAnswer: -14059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 47550 (base 11) to base 10\nAnswer: 68541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) -7\/3 (c) -805 (d) -2 (e) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 34*l**2 - 284*l - 331. What is o(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3355\/15 - 2\/(-9) - (-35)\/315 and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 491*g. Let r(k) = 19*k**2. Give a(r(y)).\nAnswer: 9329*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 22*r**4 - 3306*r - 4612\/3*r**2 + 316\/3*r**3 + 2\/3*r**5 - 5054\/3 = 0.\nAnswer: -19, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60605969?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - x = 23 - 9, -5*i + 16 = 2*x. Suppose i*o = 2*c + 318, -8*o - c - 390 = -13*o. What is the smallest common multiple of o and 44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-17)\/z)*z*z*z**3*z)\/(z**9)**11 assuming z is positive.\nAnswer: z**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1708018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.34 - -21.34. Let i = 2 + m. Let a = i - 23.00000027. Round a to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*c - 2*w + 437, 255*c - 252*c - 69 = 3*w for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204662?\nAnswer: 2, 31, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 1, k: 2, m: 1}. Give prob of sequence kka.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 313*m - 2902. Let l be t(-9). Let u be -2 + 1 + 1 + 0. Let g(o) = -6 + 4*o**2 - 4*o + u*o**2 - 5*o**2. Calculate g(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r**2 - 10602 + 13*r**2 + 20*r**2.\nAnswer: r**2 - 10602","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 11202?\nAnswer: 11202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/7)\/x**12*x**(-14)\/x*x*x*x**(2\/15) assuming x is positive.\nAnswer: x**(-2596\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from qqeeeqeeeee.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42506 and 6980608?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -7\/15*t**6 + 2\/3*t**3 + 0*t**4 + 0 - 17*t + 0*t**5 + 0*t**2. Find the second derivative of z(k) wrt k.\nAnswer: -168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -18564, -15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1324740 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i**2 + 2*i + 4. Let b(l) = l**3 + 5*l**2 + 3*l - 4. Let a be b(-3). Let t be j(a). Let h = 233 + t. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-15)*7\/7.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/6769211 or 1?\nAnswer: 7\/6769211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 24560206, -5 in descending order.\nAnswer: 24560206, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r - 48 = -14*r. Let p be ((-20)\/(-6))\/(r\/(-18)). Let q be (-3 + p - 1) + -1100001. What is q rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -3\/14*h**8 + 7\/24*h**4 + 0*h**7 + 0 + 0*h**6 + 0*h**5 + 0*h**3 + 0*h + 56*h**2. What is the second derivative of w(o) wrt o?\nAnswer: -1440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (1 - 61) + 2 + 27?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*m - 132 = 312*m. Solve 5*w + n = -13, -m*w + 92*n - 9 = 93*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -113558, -224734, -335898, -447044, -558166, -669258, -780314, -891328?\n\"Answer: h**3 - 111183*h - 2376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 97162.99 and 0.09593.\nAnswer: 97163.08593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 14*m - 36. Let i be b(4). Let k be (18\/i)\/(12\/10). Factor 3\/4*v**3 - k*v + 1\/4*v**2 - 1\/4.\nAnswer: (v - 1)*(v + 1)*(3*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvu when three letters picked without replacement from ukvkvvukkkvu.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1856, 551, 4566, 10183, 17396?\n\"Answer: -w**3 + 810*w**2 - 16*w - 2649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-21)*((-75)\/90 - 10\/((-1800)\/3822)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) -0.1907 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2304 and 90?\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 + 5 = 0. Let z be -2*((-2)\/4)\/(1\/2). Let r(b) = 5*b**3 - 5*b**3 + 0 - 4*b**3 + z. Let t(j) = -3*j**3 + 2. Calculate g*t(c) + 5*r(c).\nAnswer: -2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 18, 68, 170, 342, 602, 968?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103 and 85181?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205180 - -0.6.\nAnswer: -205179.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2. Let r(h) = -77*h**2 + 2196867*h. What is r(q(i))?\nAnswer: -308*i**4 + 4393734*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - 11*t + 16*t - 5*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-83)\/(-3) - 22\/33. Let f = 131 + -82. Let r = f - c. What is the greatest common divisor of 33 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(-2)\/28 - (0 + 0). Is p > -308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 + 2 - 2)*(-d + 4 - 4) - 3*d**5 + d**2 + d**5 - 1 + 4*d**5.\nAnswer: d**5 + d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38954543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 101*b**2 - 61*b + 512. Let f be k(51). Suppose 5*w + 6 = -2*h, -2*w + 2*h + 3 = h. Solve f*z + 9 = -3*v, z - 8*v + 3*v - 28 = w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131094 divided by 18?\nAnswer: 7283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-140)\/732)*(-30)\/4*(-24)\/108?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 76 times -7\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 9*t**2 + 0 - 5\/3*t**3 + 0*t - 7\/24*t**4. Is u(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(684)*-1 + 1 - sqrt(684))*-1)**2.\nAnswer: 24*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5118.4 and 13245.19.\nAnswer: 18363.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 69 - (-4 + 2)\/(-1). Let y = t - 34. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*n**4 - 8901124*n**3 + 2967040*n**2 = 0. Calculate n.\nAnswer: 0, 1\/3, 741760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8084*b + 8091*b + 6077400 = 0. What is b rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346.1 plus 8278.44976?\nAnswer: 9624.54976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56133113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -15\/28 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h - 15 - 11. Suppose 9*s = -3*d + 7*s + 426, -h*d - 2*s + 282 = 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*d + d. Let q(w) = 8*w - 3 + 6 - 2*w + 3*w**2. Let o(x) = -x**2 - 2*x - 1. Let f(s) = d*o(s) + 2*q(s). Factor f(i).\nAnswer: -(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3803?\nAnswer: 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/260*-28*12\/21*-1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*t = -135, -o - 4*t - t = -27. Suppose 5*i - j = j + o, 0 = 2*i - 3*j - 13. Let d(y) = -y + 4. Calculate d(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 13. Suppose 14 = -m*n + 50. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26451039\/2926 + -9040. Let n = 417\/2926 - w. Factor 2\/7 + 1\/7*o - n*o**2.\nAnswer: -(o - 2)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.763 weeks in milliseconds?\nAnswer: 22234262400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4762 + 4833 = 4*p, -p - 2*a + 8 = 0 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2551000 rounded to the nearest 100000?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9*r - 13*r - 42585 = 0, -5*z = -3*r - 212942. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 26 = 8. Let p(w) be the first derivative of 3*w**2 - 18*w - 46. Let x be p(i). Calculate the highest common factor of 27 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5093*c = 5077*c - 112 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 - 2*c**2 - 2*c**2 + 4*c**2.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 30*u - 5. Let j = 5 + 2. Is m(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 7*q - 4. Let i be j(5). Suppose -3*g + t = 3, -g + 0*t - 2*t = -i. Let n = 1 - g. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -72.4 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x - 215 + 649 - 212 - 219 - x**2 - x**2 in the form b*x + c + m*x**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1473332 by -4.\nAnswer: -368333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/6*24\/(-36). Calculate the remainder when 74 is divided by (j - 2 - 39)*(-15)\/30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16559207.\nAnswer: 7, 17, 103, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*d - 37 = 0, 8*r - 3*r = -4*d + 89. Let j(c) be the first derivative of 0*c**3 - 16*c - 17\/4*c**4 + 0*c**2 + r. Differentiate j(a) wrt a.\nAnswer: -51*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4900, 5436, 6304, 7486, 8964?\nAnswer: 10720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47354158.\nAnswer: 2, 29, 816451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - k + 60. Let c be t(0). Let a be (-4)\/6 - c\/(-9). Let q be (a\/(-10))\/((-3)\/15). Is 3 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**7\/42 - 2*b**6\/15 - 11*b**5\/20 + 11*b**4\/2 - 12*b**3 - b - 9520. Suppose w(p) = 0. Calculate p.\nAnswer: -4, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 542*u**3*z + 505*u**3 wrt z.\nAnswer: 542*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23255 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-62)\/217)\/((-1)\/(-14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 - -224. Let u be 0\/6 + (-3 - -1). Let w be (-76)\/(-4) + u\/(-2). Calculate the greatest common divisor of w and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-75))\/((-50)\/(-75)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151 or -146?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5321*i - 1 + 1 + 0 + 5315*i. Let j(x) = 9*x - 84. Determine w(j(r)).\nAnswer: -54*r + 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a decade in years?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 484\/20 + (-6)\/30. Suppose 0 = -23*j + 11*j + v. Solve -3*m + j*m + k = -6, 0 = -3*m - 3*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1 + 12*u + 85*u**2 + u**3 - 86*u**2 - 13*u + 12. What is b(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g + 1. Let m(d) = -11*d - 1. Let l(k) = k**2 - k - 4. Let q be l(0). Let w(s) = q*m(s) - 9*a(s). Calculate w(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/20 + 5*w**4\/6 + 91*w**3\/6 - 29*w**2. Is 9 a factor of d(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40636 = -12*w - 40. List the prime factors of w.\nAnswer: 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96.8 - 96.8. What is the nearest to 1\/4 in 2\/11, b, 12, -0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 6*h**2 + 7. Let j(f) = -f**2 - f + 1. Let p(z) = z**3 - 10*z**2 + 3. Let r(y) = -4*j(y) + p(y). Let s be r(5). Determine x(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4530396487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/2380)\/(273\/(-780)).\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-281)\/(28100\/(-840))*5*-1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20\/(-110) - (-312)\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 2*q + 3. Let c be k(-2). What is the nearest to -2 in c, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-38) - 684\/23104*-112. Let 18\/7*c**5 - 16\/7*c**2 + 2\/7*c + 0 + 44\/7*c**f - 48\/7*c**4 = 0. What is c?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12639 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1017, 983, 949, 915?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6163\/4 - -30989\/20. Let t = 30272 + -1574225\/52. What is the common denominator of t and w?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78324 and 3852.\nAnswer: 234972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2041812 is divided by 224?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z + 5*v + 20 = 0, -3*v - 12 = -3*z. Let n be 57\/((-5)\/(-5) + z). Suppose 63*r + 54 = n*r. Is r equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61076 is divided by 2689.\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -710 or -743?\nAnswer: -710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, 0.2, -4, 4\/3, 5\/6, 810?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20 + 1 + -4)\/(-1). Let h = m + 66. What is the units digit of (4 - h)\/(-5) + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*(-6 - -6). Suppose k*z = 5*z - 30. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*d - 105*d + 83*d)*(7*d - 3*d - 3*d) + (2*d + 0*d - d)*(-4*d + 2*d + d) + 1 - 1 - 10*d**2.\nAnswer: 31*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-85176)\/(-1820) + 1*-47\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 - 4173840*l**3 + 1088817119248*l**2 - 4355218391040*l + 4355201695744.\nAnswer: 4*(l - 521728)**2*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/(-21) + 2\/14. Solve 0*p = 3*p + n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - k + k**3 + 3*k**2 - 9 - 2 - 4*k**2 as h*k**3 + g + x*k + y*k**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(7) - -2*sqrt(7)*5) + 3*sqrt(35)\/sqrt(5))**2.\nAnswer: 8232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10084*l**3 - 59048\/3*l**2 - 2\/3*l**5 - 488\/3*l**4 - 29282\/3*l + 0 = 0. Calculate l.\nAnswer: -121, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*b - b = 21, -5*f + 2*b = -16. Let y(w) = 1 - w**2 + 2*w**f - 11 - 8*w. Is 15 a factor of y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/2 in 1\/4, -7\/3355, 0.4?\nAnswer: -7\/3355","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 234 = 6*q. Suppose -q = -2*z - 0*z. What is the highest common factor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/9)*p*p\/p**(1\/6)*p*p**(1\/6)\/p*p**(-5)*p*p**(2\/3)*p*p**0*(p**(-1)\/p*p)**(-23) assuming p is positive.\nAnswer: p**(206\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -4*p - 24, 3*p - 11 = 3*o - 8*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*t - 0*t - v - 30, 17*t - 59*v = -54*v + 41 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16461 (base 7) to base 15\nAnswer: 15d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9937758?\nAnswer: 2, 3, 17, 97429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 286 and 44?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.053, -2\/7, -8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -2*w + 5*q, 4*w + 0*q - 366 = 2*q. Does 30 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 90*g + 59. Let i(u) = -89*u - 62. Let a(c) = 4*i(c) + 5*p(c). What is the units digit of a(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, 0.102, -0.4, 5\/2, 5, -1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1125246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 46*a**2 + 3*a - 12. Let l be g(-4). List the prime factors of 4\/(-8)*-18 + l.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1517, 1479, 1441, 1403, 1365, 1327?\nAnswer: 1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3564918 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15297, -12892, -10487, -8082?\nAnswer: -5677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 892 = 26*j - 1767 - 149. Suppose 0*p + 6 = -3*p, 4*g - 180 = -4*p. Suppose -g = -d + j. What is the remainder when d is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5213 is divided by 371.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 28 = -r - 7, 4*x = -3*r + 19. Calculate the remainder when 11 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011443229 to 6 decimal places.\nAnswer: -0.001144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 0 - 5 - 6*f - f**2 + 2. Let s be h(-4). Let d(k) = k**3 + 7*k**2 - 3*k - 7. Let q be d(-7). Solve -2*t = s*a + q, 0 = 5*a - 2*t + 44 - 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/3*q + 4 + 4*q**2 - 2\/3*q**3.\nAnswer: -2*(q - 3)*(q - 2)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-4)\/2 - -14*31\/434 - 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1\/2, 1938, 17 in increasing order.\nAnswer: -13, 1\/2, 17, 1938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 25*y**2 + 245*y + 367. Determine j(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275208?\nAnswer: 2, 3, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 54 = 3*c. What are the prime factors of c\/(-18)*(-22)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 6*x + 1381. Let z(o) = -2*o**2 - 9*o - 2073. What is 8*f(n) + 5*z(n)?\nAnswer: -2*n**2 + 3*n + 683","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3120990 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(1053) + -5)**2 - (sqrt(143)\/(3*sqrt(11)) - (2*sqrt(13) + sqrt(13))*-3)**2.\nAnswer: -252*sqrt(13) + 28157\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*13*9\/27 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**4 - 1410*f**3 + 9695*f**2 - 19290*f + 11000 = 0.\nAnswer: 1, 2, 4, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -26*q - 77. Let n(k) = 13*k + 42. Let m(g) = -6*c(g) - 11*n(g). Let t(p) = 10*p - 25. Determine t(m(a)).\nAnswer: 130*a - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -138*m + 35. Let a(l) = -64*l + 35. Determine -3*a(n) + 2*b(n).\nAnswer: -84*n - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 84*8\/108 + 18\/(-3). Let u = -0.02 + 0.82. Let j = u + -0.6. Which is the nearest to j? (a) l (b) -0.1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 + 474*l + 31978. Calculate t(-51).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a + 13*a - 420. What is the tens digit of (5 + 3850\/a)\/((-1)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1*(0 + 5)*(-1888)\/(-80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-20))\/(3\/(-12)) - (-56 - -49).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1884, -1880, -1876, -1872, -1868?\n\"Answer: 4*d - 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1521 and 2\/(-26)*148\/78*(-18)\/24.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**3 + 412320*o**2 + 1649344*o = 0.\nAnswer: -4, 0, 103084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-35)*n*n)\/(n\/(n\/(n*n**5))) assuming n is positive.\nAnswer: n**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 1. Let q(c) = 5*c + 6. Let u(h) = -6*m(h) + q(h). Let l(k) be the second derivative of -221*k**4\/12 + 3283*k + 2. Give l(u(d)).\nAnswer: -221*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + c**2 + 33*c - 8. Let l be p(4). Solve 0 = 9*k + l + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((108\/30)\/(-3))\/(45\/150).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 = 28*c - 14*c. What is the remainder when 365 is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 770*u + 29645.\nAnswer: 5*(u - 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 59*g**3 - 15*g**2 - 11*g + 21. What are the prime factors of f(4)?\nAnswer: 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227884 is divided by 32549?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*m - 0*m. Let v = m + 6. Suppose -5*i = -g - 13, 5*g - v = -3*i - 0*i. Solve o = i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i + d = -18, -3*d = 9. Suppose 0 = -5*k - 2*a + 3, -i*a = -0*k + k + 2. Let n be (-1 - -3*1)\/k. Which is bigger: 3 or n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69569842?\nAnswer: 2, 37, 25409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 e when four letters picked without replacement from {j: 2, e: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 4\/(-14))\/((-14)\/(-98)). Let r = -48 + 53. Solve 5*q = -p*o + 10, 2*q - r*o - 4 = -o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*h = -134*h - 2208 + 3196 - 18889 for h.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -801*f**2 + 3525*f - 4. Determine x(5).\nAnswer: -2404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*l + 31*l + 36 - 62*l - 2*l**2 to d + m*l + c*l**2 and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -202136 (base 7) in base 16?\nAnswer: -8648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66964826 is divided by 1847.\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 952 and 8666.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2670 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 567\/(-90))*20\/45\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2150381 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -236101?\nAnswer: -13\/236101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(847) + 2 + sqrt(28)\/(sqrt(16)\/sqrt(4)))**2 - sqrt(35)\/(sqrt(25)\/sqrt(5)*4)).\nAnswer: 191*sqrt(7)\/4 + 1014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + -16 + 18 + 19 - -41.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-1))\/f)\/f)\/f**(-6\/5))**(-3) assuming f is positive.\nAnswer: f**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - q. Let s(j) = -j**2 + 12*j - 9. Let w(h) = 3*h - 2. Let f(m) = -2*s(m) + 9*w(m). Let i be 4 - (-16)\/(-2) - -3. Calculate i*f(c) - 3*g(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 2*i**3 + 37*i**3.\nAnswer: 39*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x - 2*x**3 - 28*x + 0*x**3 + 20*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 261463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 11*l - 37. Let a be b(-14). Let p(d) = -2*d + 1. Let z be p(-2). Suppose z*s - 550 = -a*h, -s + 116 = -2*h - 0*h. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23925956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/17 (b) 0.352 (c) 581\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91971, 91986, 92017, 92070, 92151, 92266?\n\"Answer: p**3 + 2*p**2 + 2*p + 91966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/648990 and -83\/11970.\nAnswer: 86315670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60294 is divided by 496?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 171733\/7032186 + -28\/1139. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -9*r**2. Let w(m) = -11*m. Give w(j(i)).\nAnswer: 99*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13450 is divided by 231?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -425\/3 - -143. Suppose 4 = -5*m + 4*k, 3 = 33*m - 28*m + 3*k. Factor 4\/3*g**4 - 2\/3*g**5 + 0*g**3 + 2\/3*g - b*g**2 + m.\nAnswer: -2*g*(g - 1)**3*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3\/16)\/u)\/u)**(-4\/3)\/(u\/(u*u**(-3)*u*u*u))**(-1\/22) assuming u is positive.\nAnswer: u**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -52687?\nAnswer: -52686.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(76)) + 1*sqrt(76) + 5.\nAnswer: -2*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 41 = -94*c + 98*c, -c = -u + 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15621, 31244, 46867?\n\"Answer: 15623*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 9. Let w = 38 + i. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((-21)\/(-8) - (-18)\/48)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 - 102. Let h = -25 + s. What is the remainder when 66 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13*(-2)\/(-4)*(-73 - -71). Put -2, -1, 1, o in descending order.\nAnswer: 1, -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, n: 1, o: 2, l: 6, m: 3}. What is prob of picking 1 m and 1 u?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/9, -12, 0.0518?\nAnswer: 0.0518","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 509.796ms to microseconds.\nAnswer: 509796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edd when three letters picked without replacement from {e: 1, h: 1, d: 2, p: 2, z: 4}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1594 + -693. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2451128*n**2 - 165768*n - 1 wrt n?\nAnswer: 4902256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164 + -299 + 25 + 70?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -90*c - 2. Let m be g(-3). Suppose b + 3*b = m. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*100.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 = -q - 9, 10 = q + 3*t. Let o = -31.94 + 32. Which is the second biggest value? (a) q (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548234642?\nAnswer: 2, 113, 193, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3326792458?\nAnswer: 2, 11, 17, 983, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 e when four letters picked without replacement from eeweeeewe?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-108)\/(-63) - (-2)\/7. Suppose -3*r + 1001 = 5*c - r, 0 = x*c - 3*r - 389. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1603 - 670*z**2 + 1603 - 4*z + 4*z as k + p*z**2 + f*z and give p.\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*c - 79. Let m = 61 - c. Suppose 2*d + 75 = m*d. Solve y + 2 = 2*r, 6*y - 5*r = y - d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6537039 rounded to the nearest 1000?\nAnswer: -6537000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 6*r + 510 - 3*r + 15*r to y + h*r and give y.\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.8 times 0.1?\nAnswer: -18.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 2:49 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 0*g + 21. Let o(f) = -f**2 - 4*f + 17. Let q be o(g). Let m = -6 - -5.7. Sort q, 4, m in ascending order.\nAnswer: q, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.9 - 5.1. Let z = v - -14. Let t = 178 + -177.6. What is the second biggest value in z, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2237*q**3 + 0 + 0 - 2289*q**3.\nAnswer: -52*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, o: 2, p: 6, g: 1, b: 2, s: 3}. Give prob of picking 3 p.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 3*v = -14*f + 57, -2*f = 3*v - 41. Is 12 a factor of f - 18 - (-726)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 1:36 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:33 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -16. Suppose -98 = k*z - 4*z. Suppose 0 = j - 26*j - 2*j + 243. Calculate the remainder when z is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 3*k - 110. Calculate o(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27332880 and 160?\nAnswer: 54665760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 53, -309 in ascending order.\nAnswer: -309, -15, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 + 44*w + 11. Let d be i(-18). Suppose -d = 474*k - 475*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/9*3\/1. Let k = 10 + f. Let j = k - 1. Solve 4*o = -r + 2*r - 1, -8 = 2*o + j*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 1200, 0 in ascending order.\nAnswer: -1, 0, 2, 1200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14988855, -14988861, -14988867, -14988873, -14988879?\n\"Answer: -6*a - 14988849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*m**2*r**3 - 52166703*f*m**2 - 1229*f*m*r**3 - 515*f*m*r**2 - 13*f - r**2 wrt m.\nAnswer: -2*f*r**3 - 104333406*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 295 - 448 = 0. What is the derivative of -n*a - 20*a - 91*a + 118 wrt a?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3024 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = 6. Suppose 0 = 2*f - c*f + 6. Solve -23 = -5*y + f*d - 4, -4*d - 12 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 - 10*y + 1. Let m(j) = -j**2. Let b(f) = -4*m(f) - z(f). Is b(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298688, -3, -5 in decreasing order.\nAnswer: -3, -5, -298688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 703\/9 + -78. Let v(u) = 2*u**3 + 12*u**2 + 14*u - 4. Let s be v(-4). Suppose -2*n + 3 = -4*y + 7*y, 4*n - 4 = -s*y. Which is smaller: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htv when three letters picked without replacement from {h: 2, v: 3, j: 1, t: 2, p: 12}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = 4*i + 231. Let f(s) = 4*s - 36. Let p be f(14). Solve i*h - p*h = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1195*y - 1204*y + 75483 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**(-2)\/j*j)\/j*j)*j**(-1\/6))\/(j*j*j\/j**(-3)*j)**(-30) assuming j is positive.\nAnswer: j**(1277\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.3 (c) 0.1137 (d) 2 (e) -5 (f) -1\/29\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34879200 and -5?\nAnswer: 174396000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*p + 146*p - 107*p = 408 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*w + 2*b**2*w**3 + 21*b**2 + 37*b*w**3 wrt b.\nAnswer: 6*b*w + 4*w**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = 2*g. Let i = g - 5. Is 17 a factor of 3 - -37 - (1 - i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43415 + -2?\nAnswer: -43421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/5588 (b) 2.2 (c) 2\/15 (d) 0 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) 110 (b) -2 (c) -1\/9 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*a. Let k(g) = -1 - 3*g + a*g + 7*g**2 + 1. Is k(2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*j + 5*y + 124, -5*j - 3*y - 53 = -145 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4*(-3 + sqrt(200) - sqrt(200)) + sqrt(200) + (sqrt(200) - 4*sqrt(200)*4) - (-3*(sqrt(200) - (1 + sqrt(200)))*6 + -2)))**2.\nAnswer: 840*sqrt(2) + 39209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w + 16 = 0. Let k = w - 1. Let z(t) = -2*t**3 - 7*t**2 - 3*t + 4. Let o be z(-3). Solve 5*f + 7 = k*g, 0*f + o*f + 4*g = -12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35895.\nAnswer: 3, 5, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.55 - -14.55000727. Round y to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2909487360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*(1 - 0))\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-5 + (-16)\/(-4)). Suppose -4*t = g + 219. Let x be (-4799999)\/(-5) - 11\/t. What is x rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -364*i + 655 + 360*i - 652 - i**2. Let f(p) = -p**2 - 3*p + 2. What is -5*f(r) + 4*h(r)?\nAnswer: r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22927922.\nAnswer: 2, 29, 395309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 124338*b + 85212.\nAnswer: 124338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 b when four letters picked without replacement from {b: 7, t: 9}?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v + 124 - 376. Calculate the remainder when 292 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50593145 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 442. What are the prime factors of c(0)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*g - 23. Suppose 3*q = 7 + g. Suppose 22 = 3*y + 5*u, q*u = -2*y + 1 + 12. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s = -28*s + 198. Let d = -98 - s. Suppose 5*p - 1 = 24, -1 = -2*q + p. Calculate the remainder when q is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180*m - 114*m + 349*m + (-12 - 19 - 4)*(0*m + 4*m - m) to the form n*m + d and give n.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*3280\/15990\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 25*j + 400. Let i be z(-16). Solve -5*x = -4*r - i*r + 5, -3*x + 3*r = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 2*d - 2. Let a be z(-1). Suppose -t - u - 3 = a*u, -5*t - 105 = -3*u. Let g = 3282 - t. What is g rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132862049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236156 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (8 - (7 + 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 61*x**3 + 4*x**2 + 276*x - 1199. Calculate i(4).\nAnswer: 3873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 0.02, -5, 1\/3, -1\/10?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from {g: 1, x: 4, q: 1, o: 4, y: 1, d: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 854848\/5 at least 170970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 713994*u - 2856024.\nAnswer: 3*(u - 238002)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1446 by -6.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 712*f + 159 - 77 - 82 in the form n + h*f and give h.\nAnswer: 712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z - 32*z - 17*z - 26*z + 119*z - 22*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 111*s - 110. Let q be v(-1). Which is the nearest to 1? (a) -41 (b) 1\/8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852316609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 7*u - 6. Let i be b(-4). Let z = 8 - i. Calculate the smallest common multiple of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttwewwtetx. Give prob of picking 2 e and 1 w.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l + 5*l - 18*l = -1706758. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p + 32. Let o be a(2). Suppose 10*l - 204 - o = 0. Solve -l = 10*v + 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1171457, 1171459, 1171461, 1171463?\nAnswer: 1171465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194275 and 53675.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8626, 17252, 25864, 34456, 43022?\nAnswer: 51556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/9 + 2298878*t**2\/9 - 22988630*t\/9 + 19157150\/3 = 0?\nAnswer: 5, 1149429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 12326, -5 in increasing order.\nAnswer: -22, -5, 12326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5845 - -0.4645. Which is the nearest to 0? (a) u (b) 29 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1752.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20 - -25)*(-12)\/(-15). Suppose -y*x + 920 = 2*c, -4*x + 920 = -7*c + 4*c. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*t - 75, i - 24 = -t - 0*t. Is (96\/(-10))\/(i\/(-380)) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 154 - 154 - 31*d in the form q*d + k and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681*a**2 + 666*a**2 - 82*a - 1338*a**2 - 32*a + 114*a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/16, 6\/5, -292555 in ascending order.\nAnswer: -292555, 1\/16, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10 + h**2 + 7*h - 4 - 3*h. Let y be f(-5). Suppose -3*v = -y - 4. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 66, 128, 190, 252?\n\"Answer: 62*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4752 + -0.4052. What is the second smallest value in -0.1, -12, i, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-43)\/v*v))\/v)\/(((v**(-40)\/v)\/v*v*v)\/v) assuming v is positive.\nAnswer: v**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0601? (a) 0.4 (b) -8251 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w*w*w\/w**(1\/12)*w))\/w*w**(1\/7)*w*w**3*w**(-1))**(-15\/4))**8 assuming w is positive.\nAnswer: w**(-95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26454281?\nAnswer: 7, 3779183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 202. What is the remainder when x is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.24, 0.4, -1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (76 + 7 - -7) + -497 + 471\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 114\/9*-4*12\/(-32). What is the third derivative of 35*q - 19*q - r*q**3 - 16*q**2 - 16*q wrt q?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -1, 121738\/9, 4\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/(12\/(-18)). Let h(c) = -5*c + 1. Calculate h(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2)*(-10)\/5. Let j(i) = -a - 2*i - 2*i + 2 + 8*i. What is j(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 3*i + 34, 8 = 2*i - 6*i. Suppose 2*w + 69 = 5*w. Suppose w = p - 33. What is the highest common divisor of r and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -5, -7, 0.4, -3, 4.3 in decreasing order.\nAnswer: 4.3, 0.4, 1\/3, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 816787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*h + 70 = 0, 5*o + 0*h + 260 = -2*h. Let g = 27 + o. Is -23 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20245055 a multiple of 1355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44220430 - 1?\nAnswer: -44220431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1198.998431 - -1199. What is b rounded to five dps?\nAnswer: 0.00157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2)\/(-16) + 1780\/(-160) + 11.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**4\/12 + f**3\/3 - 2*f**2 - 46*f. Let v(u) be the first derivative of m(u). Let q be (4 - -2)*(0 - -1). What is v(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.47 - 11.53. Let g = u + -22.6. Round g to the nearest integer.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1978344, 0, 2, -5, -1, 1 in descending order.\nAnswer: 1978344, 2, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (2 - (-9 + 5 + 4 + 5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2114 and 6342?\nAnswer: 6342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**3 + 44*g**2 + 56*g - 7. What is n(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*u**2*y - 4286*f*u - 2*f*y + 73*f - 2*u**2*y - 1677931*u**2 wrt f?\nAnswer: -u**2*y - 4286*u - 2*y + 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.82638617 rounded to four decimal places?\nAnswer: -1.8264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 359 or -13\/607?\nAnswer: -13\/607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kurrrrrrrrkrrrruu. Give prob of sequence krr.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4915679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13519.\nAnswer: 11, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (((1342\/(-132))\/(-61) - (-17)\/6) + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-102 - 3) + 14)*8\/(-2). Let t(n) be the first derivative of -11 - 196\/5*n**5 - 752*n**3 + f*n**4 - 832*n**2 - 256*n. Find y, given that t(y) = 0.\nAnswer: -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 485*s*z**4 - s*z**3 + 1149*s*z + 6*z**3 - 26*z**2 wrt z.\nAnswer: 11640*s*z - 6*s + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167899, 335984, 504257, 672718, 841367, 1010204?\nAnswer: 1179229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -17. Let k be (20\/25)\/(4\/10). Which is the nearest to t? (a) -3 (b) -2\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.1 + -131.9. Let j = -165 - v. Put -5, j, 2, 4\/5 in descending order.\nAnswer: 2, 4\/5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7967 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1828 = -2*m, -4*m + 3*i + i + 3632 = 0. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -60, 2\/17, -2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -466941 at most -8871907\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -569.1.\nAnswer: -170.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 22 + 2 + 70*i - 132*i - 29 + 68*i. Let o = -12 + 8. Give q(o).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/27486 and 87\/5090?\nAnswer: 137430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 712613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z**4 - 9768*z**3 - 1194624*z**2 - 476288*z = 0.\nAnswer: -244, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.5, 0.1, -85, -0.03, 17 in decreasing order.\nAnswer: 17, 3, 0.5, 0.1, -0.03, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b - 72. Let v be d(14). Put v, 42, 4 in descending order.\nAnswer: 42, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.0691466s to days.\nAnswer: 0.0002554299375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -13*t**2 + 675*t + 173. Let c(s) = -14*s**2 + 676*s + 174. Let f(m) = -5*c(m) + 6*y(m). Factor f(u).\nAnswer: -2*(u - 84)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 63, 65, 79, 111, 167, 253?\n\"Answer: k**3 - 5*k + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5106618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 103660.\nAnswer: -41\/103660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.4 + 4.4. Let f = -137 + 545\/4. Which is the second biggest value? (a) p (b) 1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 109*s + 0)*(-s**3 + 0*s**3 + 0*s**3).\nAnswer: 109*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 207 and 4044297?\nAnswer: 12132891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 - 26\/(-6). Suppose -20 = -t*f - 0*f. What is the lowest common multiple of f and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/997186 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75415 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 5. Let d(v) = -173*v - 76*v + 3 + 219*v - 3. Give d(p(z)).\nAnswer: 30*z + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 7*n + 25. Let l = -978889\/10 - -97893. Does n = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -3*i - 19, -h - 33 = 3*h + 5*i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -10137?\nAnswer: 10133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 15*w**2 + w - 4. Let x(r) = r**2 + 3*r - 2. Let h be x(-6). Suppose -i + h = 1. Let z be v(i). Solve s - 2*s = -3*y - z, 2*y + 3*s = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-15) - 206\/(-10). Let k = t - 15. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b = 60. Let q be (30\/b)\/(2\/(-24)). Round q to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.847 - 0.053. Let w = 2.874 + o. Let z = w - 0.125. What is z rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18410 and 1252?\nAnswer: 11524660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -2*a**5\/5 - 5*a**4\/4 - 24*a**3 + 71. Find the third derivative of w(d) wrt d.\nAnswer: -48*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 3*x**5\/20 + x**4\/2 + x**3\/2 - 4*x. Factor q(t).\nAnswer: 3*t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from lxrlrlxlllmlrleeeex?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10486 divided by -14.\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**3 - 2. Let q(y) = -15*y**3 + 5. Suppose 45*u + 253 = 523. Determine u*q(a) + 15*b(a).\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, p: 2, l: 7, z: 3, h: 1}. Give prob of picking 2 l and 1 i.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-3*sqrt(2057) - sqrt(2057)) + -1 - sqrt(2057) - (-3 + sqrt(2057)*3)))**2 + 5 + 2.\nAnswer: -352*sqrt(17) + 131659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 6*p + 5. Let c be o(-5). Let s be 12\/2 - 2\/1. Suppose 3*y - s = -2*y - b, -2*y + 2*b = 8. Solve y = -5*j - c*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 2 = -2*t. Suppose 0 = 5*y + 3*g - t, 5*g = -0*y - 5*y + 40. Let u = -0.1 + -0.1. Which is the nearest to -0.1? (a) y (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4*k + 52 = 0, -8*f - 3*f - 5*k = 14*f + 310 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -50. Let m = 9 - 7. Solve 4*a - 8 = 4*w, a - q = 2*w + m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let b(m) = -488*m + 13*m**2 + 488*m. Calculate a(b(u)).\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:39 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -1\/3 (c) 281\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 17*j**2 - j. Let y(v) = 2*v. What is y(t(x))?\nAnswer: 34*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 579491.5 rounded to the nearest 100?\nAnswer: 579500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + x - 3*x - 72, 4*x + 4 = 0. Let y be t*(-33)\/(-6)*-3. Suppose 3*a = 8*a - 105. Calculate the greatest common divisor of y and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3002025, -3002017, -3002009, -3002001?\n\"Answer: 8*a - 3002033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/6 and -6\/2616491.\nAnswer: 15698946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - (-124)\/(-20))*3829\/(-4). Suppose 3*j - 2*i + 916 - 4388 = 0, 2*j - 5*i - 2311 = 0. Let n = k - j. What is the common denominator of -77\/36 and n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 95 (c) 0.2 (d) 13\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.5 times 64?\nAnswer: 4000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 309 - 307. Suppose -17*z - n*z = -68305. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -205*k**2 + 68*k**2 + 138*k**2 + 5310 + (1 - 1 + 3*k)*(0*k + 3*k - 2*k) + 0*k**2 + 3*k - k**2 - 5*k + 2.\nAnswer: 3*k**2 - 2*k + 5312","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 11*h - 10 - 10 to the form n + y*h and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 274062 - 0?\nAnswer: 274062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*s - 22. Let q(i) = i + 9 - 6 + s*i**3 - 2*i**3. Let o(f) = -7*f**3 - 4*f - 11. Determine -6*o(n) - 22*q(n).\nAnswer: -2*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -50, -108, -216, -374?\n\"Answer: -25*g**2 + 17*g - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 40 = -4*s, 0 = -4*s - 6 - 14. Suppose 0 = -26*i + 32*i - r. Solve -3*d = 3*n - 24, 0*d = d - i*n + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c - 327 + 363. Solve 0 = -4*b - 2*m + 2, 3*b + 3*m = -0*m - c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*g - 6504, 26*g + 15 = 29*g. What are the prime factors of p?\nAnswer: 2, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 5 (c) -2.6 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-26 - 5) - -24\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*x**3 - 10*x**3 - 417*x**3 + (319 + 287 - 4*x - 640)*(3*x - 3*x + 2*x**2) to the form u*x**2 + a + s*x**3 + n*x and give s.\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 - 52. What is the highest common divisor of 148 and m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 2 - 28 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/7499 + -367517\/164978. Suppose 3*m - 4*h + 3052 + 1867 = 0, m - 4*h + 1629 = 0. Let u = m - -16401\/10. Calculate the common denominator of y and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -20843\nAnswer: 3\/20843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (29 + 3 - (-6 - (-6 + -5))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*f + 16. Suppose -5 = -2*h + f. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + 5 - 5 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*n + 4*s + 197, -2*n - 212 = 2*s. Let d = 140 + n. Calculate the remainder when d is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1.1 (c) 0.5 (d) -13324 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l - 179 = -78*l + 31. Let r(q) = q**3 + 5*q**2 - 7*q - 3. Let i be r(-6). Solve -l*x = 3*x - 3*j - 12, -i*j = 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36, -254, -820, -1908, -3692, -6346?\n\"Answer: -29*k**3 - 15*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k + 18*k - 12*k)*(-1251*k - 1244*k + 2464*k + k**2).\nAnswer: 16*k**3 - 496*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -200 (b) -561.63 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(513\/2))\/((-18)\/27)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1439 by -1439.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from uiouueeoui?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 485*l - 5395. Determine g(172).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4422079.\nAnswer: 19, 232741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004294 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 4, 5, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 64 - 38 + 3*f**2 - 28 - 2*f. Calculate u(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4865 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -109, -135, -165, -199, -237?\n\"Answer: -2*p**2 - 20*p - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 + 32\/14. Suppose s = -l*s. Let n be s*((-3)\/(-6) + -1). Solve 0*g - 3*g = n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 16 = 40. Find the third derivative of -g*b - 12*b**5 - 9*b - b**2 - b**5 - 6*b wrt b.\nAnswer: -780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.097 and -0.046230831681?\nAnswer: 0.050769168319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 147*3*((-856)\/321)\/((-48)\/2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414 and 30906?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 315, 0.3, -3?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003436657 to seven decimal places.\nAnswer: 0.0000344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsdjnsdsjxdjjd. Give prob of sequence jjnx.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7031, 7029, 7027, 7025, 7023, 7021?\n\"Answer: -2*g + 7033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:18 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10652 is divided by 1063?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 52*c - 49*c + 5, -2*c - 20*v = 22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4 - 35673*g**3 + 3446289*g**2 - 71573247*g - 561207366 = 0. What is g?\nAnswer: -11987, -6, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 + 178*j - 1458. Let w be y(9). Sort 62, w, 0.\nAnswer: w, 0, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5458432 divided by -32?\nAnswer: -170576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 984 and 33?\nAnswer: 10824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -743*h**7\/42 - 11*h**3\/3 - 10*h**2 + 156*h - 2. What is the second derivative of j(d) wrt d?\nAnswer: -14860*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -i - 5*y, 34 = -2*i - 3*y + 62. What is the lowest common multiple of 104 and i?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2785371274 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 1:32 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/92893440 and 22\/285.\nAnswer: 1764975360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 14*n + 1139 = 0. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6531 - 5?\nAnswer: 6523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 994841 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2412 * -7\nAnswer: -16884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 52.7. Round a to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-4*sqrt(200)\/sqrt(4) - sqrt(50) - sqrt(50)) + sqrt(50))\/sqrt(10) + -1.\nAnswer: -20*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*(2*(sqrt(684) - (sqrt(684) - (2*sqrt(684) + sqrt(684))*3) - (3*(sqrt(684) + 1) - sqrt(684))))**2.\nAnswer: -402300 + 3024*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a*f**5 + 1164*a*f**4 + 151*a*f**2 + a*f + 18 wrt f.\nAnswer: -180*a*f**2 + 27936*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/3 + -8)\/(2\/(-9)). Suppose -k + 2*k - a = 0. Calculate the greatest common divisor of 48 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2646 and 18432?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-4)*(36\/(-5))\/(-2). What is the second derivative of s*n - 10*n - 21*n**2 - n wrt n?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7553 + 7553.4. Put q, -5, -0.2, -4\/5, -0.5 in decreasing order.\nAnswer: q, -0.2, -0.5, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5223711 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 + -128. Suppose 5*m + 19 = 5*k + 59, s = -m - 2*k - 1. Solve 3*v = -2*v - 3*a + 32, -m*a + 32 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2634247, 2634267, 2634313, 2634397, 2634531, 2634727?\n\"Answer: 2*b**3 + b**2 + 3*b + 2634241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 543299 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6125?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/13))**(-13))**(1\/8) assuming a is positive.\nAnswer: a**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -43. Suppose -o + 22 = -3*i, 274 = 29*o + 13*i - 9*i. Solve q - o = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 >= -383\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6470941 to the nearest integer?\nAnswer: 2544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3450 - 1?\nAnswer: -3451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613145 = 251*l - 2214274. Is 217 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (-50 - (-25 - 38)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 973633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 9. Let z be d(-6). Let n be (18\/z)\/(18\/(-60)). Suppose -n*x = -3*x - 40. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19358607?\nAnswer: 3, 6452869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Let k be 8*2*(-3)\/(-6). Suppose -k*h + 4*h + b*w = -2, -2*w = 5*h - 25. Calculate the highest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/27 - (3 + 323890\/(-45)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 15, x - 4*o = -1724 + 16608. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 102?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 - 6*h - 6. Let j be t(6). Is 3 + j\/(-30) + 197\/5 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 3918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 8*q. Let j(m) = -m - 8. Let k be j(0). Let r be a(k). Suppose 0 = 2*s - 3*o - 5, o = 1 - r. Let b(v) = v**2 - 5*v - 2. Give b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*z - 3)*((-1 - 2 + 2)*(2 + 2 - 5) - 16 + 4 - 4).\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3)*v)**(-2\/15))**(15\/4)\/(v\/v**(-1)*v**(1\/3))**33 assuming v is positive.\nAnswer: v**(-233\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 50, 1, 3, 2 in descending order.\nAnswer: 50, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78.269933208 + 78.27. Round l to 6 decimal places.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 2*h + 0*h)*(3 + 4*h**2 - 3*h**2 + 3*h**2) as w*h**2 + a + b*h**3 + z*h and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**10*a))\/(a**39*a))\/((a**24*a)\/a)**(-46\/5) assuming a is positive.\nAnswer: a**(854\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -273 + 1303 - 213168*h + 213169*h as f + z*h and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1321 divided by -6\nAnswer: -1321\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 3. Let p be u(3). Let l be -4*(3 - 5) - (p - -3). Suppose -l*m - 4*j = -270, 1 = 3*m - 3*j - 134. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/4 + 41*n**4\/4 + 273*n**3\/2 + 539*n**2 - 686*n.\nAnswer: n*(n - 1)*(n + 14)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161632 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 4*h**3\/3 - 128*h**2 - 8900*h - 5198. Factor y(i).\nAnswer: 4*(i - 89)*(i + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 1 = -2*c, 20*c = -4*n + 21*c + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22112869 or -22112867?\nAnswer: -22112867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f**2 - 3*f**2 + 16*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 5\/(20\/42). Let v = 8 + b. Let k be (-19 - -18)*2\/(-4). Is v at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2483 + 0.1278\nAnswer: 2483.1278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 53. Suppose -4*c + 5*x + 22 = -z, -2*x - 10 = 2*c. Solve -2*g = -c*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -10*l + 6. Suppose 0 = 4*c - 12, l*z = -2*c + 3*c - 1. Do -1\/9 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -662 - -1276. Is 613 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, g: 1}. What is prob of picking 2 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bizb. What is prob of sequence bb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 99680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24450 and 13600?\nAnswer: 6650400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*d**5 + 47829*d**4 - 47837*d**4 + 7 + d**5 + 50*d**2 - 11*d**2 wrt d?\nAnswer: 660*d**2 - 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 4. Let g be d(-5). Let b be (g + (-5)\/4)*5. Let a(q) = q**2 + 4*q - 7. Let x be a(-6). What is the second smallest value in x, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 218 + 8 = -4*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -15 - 77\/7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-12)\/(-9) + (-2050)\/1650?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/3 (b) 15296 (c) 1 (d) 3\/7 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + 9)\/((15\/(-310))\/(-3))?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -2 (b) -1\/4619 (c) 4\/5 (d) 3 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053967963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 3 (c) 3\/1040 (d) -0.4 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/9 and -151\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n**(-26)*n*n)\/n*n*n)\/n**(7\/9) assuming n is positive.\nAnswer: n**(-196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331496.\nAnswer: 2, 11, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -40875, -40907, -40959, -41031, -41123, -41235, -41367?\n\"Answer: -10*g**2 - 2*g - 40863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -69630 from 0.008.\nAnswer: 69630.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-5) - 4 - (726\/(-30) + -7).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 at least as big as -65\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(272) + sqrt(272) + 1 + 5))**2.\nAnswer: 864*sqrt(17) + 10116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -49, -67, -85, -103?\n\"Answer: -18*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 2. Suppose -s*p = -8*p - 25. Suppose 4*z - 27 = -p*r, 0*r = -4*r + 4*z. Solve -r*n + 0*n = 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 486 - 486. Suppose -13 = -2*r + z, 3*r = 2*z - 6*z - 8. Let b(s) = -s**2 + 4*s + 2. Let y be b(r). Solve -w - 5 = 0, y*o + w + 2 - 1 = l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 32 = 4*m. Suppose i - m = -6. Let n = 11 - i. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m + 3583*m**2 + 9*m**3 + 12*m - 7171*m**2 + 3588*m**2.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**3 - 7294509*p**2 - 11*p*s - 2736358*s with respect to p.\nAnswer: -6*p**2 - 14589018*p - 11*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/3 + 29*f**2\/3 - 43*f + 33 = 0.\nAnswer: -33, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/7 and 50\/17.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13294614 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 2 - 2)*(1 - 1 - 3*u**2)*(-2*u**2 + 5*u**2 - 2*u**2).\nAnswer: 15*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r. Suppose r*v = -5*v + 45. What is the remainder when 34 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 35. What is the least common multiple of 14 and h(53)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19279*u - 51676.\nAnswer: -19279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3\/8 (b) 31 (c) 3\/7 (d) 3 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -21. Suppose 6 = 2*x, x - 246 = -y*n - 3*x. What is the remainder when n is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 h when three letters picked without replacement from {i: 1, y: 4, n: 4, l: 1, h: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 331, 1334, 3035, 5458, 8627, 12566?\nAnswer: 17299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = 7. Suppose -2*u = -10 + 14, -n = -u - 8. What is the greatest common factor of n and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -2\/7 (c) 5 (d) -5 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210706 is divided by 1728.\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14*q**2 + 6*q**2 - 2*q**3 + 16 + q - 14*q - 21*q. Let v(l) = -l**3 + l. Let u(k) = 2*v(k) + y(k). Let u(i) = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + 4 + 0 + -1. Let l = f - 7. Suppose 2*k - 1 = -l. Let s(g) = -6*g**2 + g. Determine s(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 e when four letters picked without replacement from {e: 5, c: 1, z: 3, a: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w + 44204190 - 44204190.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 - -96. Let t = o - 26. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3728, -4224, -5010, -6086?\nAnswer: -7452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21000 (base 3) in base 15?\nAnswer: -c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622 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: Let q(a) = a. Let f be (2\/4)\/((-1)\/14). Let u be q(f). What are the prime factors of 18\/u*28\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51870 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 11*g**2 + 9*g - 6. Let d be k(-10). Find m such that 8\/5*m**d - 3\/5*m**5 - 2\/5 + 7\/5*m - 4\/5*m**3 - 6\/5*m**2 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqtj when four letters picked without replacement from {p: 2, t: 2, q: 1, j: 2, h: 1, i: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 a, and 1 k when four letters picked without replacement from aarakarkkkkurauckk?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 23*r - 292856. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.589 rounded to one decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 14*w - 76 = -13*w, 120 = 5*j + 5*w. Solve j*c = 18*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 1, -0.1036 in descending order.\nAnswer: 1, -0.1036, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 12 - 3. Suppose -a*h - 390006 = -i, -2*i - 5*h - 223462 = -1003452. What is i rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.85. Let r = s + -0.7. What is r rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 4:10 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4843 (base 11) in base 10?\nAnswer: 6339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-40)\/(-6))*36\/(-27). Let x = 2.31 - -18.59. Let t = x + -21. Which is the closest to t? (a) m (b) -8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 6*z**4\/5 + 9590*z**3 + 2697438*z**2\/5 - 3665854*z\/5 + 184092 = 0.\nAnswer: -7935, -58, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3594, 14672, 33244, 59310, 92870, 133924?\nAnswer: 182472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.943 - 0.043. Let z = -3 + u. Suppose 4*x = n - 2*n + 16, -n = -x + 9. Which is the closest to z? (a) n (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 37 - 34 - 10*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-2) + (-209)\/(-38) - (-105)\/(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3.4. Let j be (-484)\/20 - (-21)\/63*(-36)\/(-10). Is j >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 6*x + 5. Suppose 2*v = -3*v + 5. Let q(p) = 3*p**2 + 3*p + 1. Let h be q(-2). Let t = h - v. Calculate g(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/9 + 26912*l\/3 + 134660.\nAnswer: -4*(l - 20199)*(l + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(80) + sqrt(880)\/sqrt(11).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9362, -18698, -28034, -37370, -46706, -56042?\nAnswer: -65378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.289 + -5.3. Let y = -0.189 + j. Let n = 0.4 + -1.4. Put n, 2, y in ascending order.\nAnswer: n, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -2*f - 6, -56*f + 58*f + 8 = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bf1 + afb?\nAnswer: -f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -7. Let p = -28\/115 + 1\/23. What is the smallest value in p, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 10*n - 4. Let p be b(-10). Let a(g) = -g**3 - 5*g**2 - 4*g + 3. Determine a(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1744*q + 20916. Give s(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 5*q - 8. Find the third derivative of -15*j**q + 29*j**6 - 5*j**2 - 22*j**6 wrt j.\nAnswer: 840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14.8 or 37.4?\nAnswer: 37.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 1. Let s be w(-9). Suppose -4*t - s = -5*t. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 144\/11 + -142\/11. Determine y, given that 0 + 0*y**2 - 2\/11*y**4 + p*y**3 + 0*y - 4\/11*y**5 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 471*u**2 - u + 11. Let v(x) = 479*x**2 - 2*x + 14. What is 4*s(a) - 3*v(a)?\nAnswer: 447*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**3\/3 + 7*z**2\/2 + 5*z - 1. Let s = 11 - 5. Is 11 a factor of o(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*r + 1269 + 831 = -15*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41.5 (b) 5 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-48822)\/(-16) + (-315)\/840.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = u - 7, -5*u - 23 = 2. Let n(t) = t - 3. Let l be n(v). Calculate the remainder when 6*(l + -2) + -1 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/66*2 + 62\/(-22). Let s(p) = p + 1. Let n be s(j). Suppose 4*o = 8*o + 12. Is o at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324041 (base 5) to base 4.\nAnswer: -2232022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95985 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: Solve -2*l + 3*i + 13*i + 22420 - 22438 = 0, -3*l - 27 = 5*i for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -185, -199, -219, -245, -277?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, -4\/5, 32, 2\/5515?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - a**2 + 12*a + 24. Let p be l(-2). Let m be (-2)\/(-9) - (-56)\/(-9). Let z be (p\/m)\/((-1)\/(-3)). What is the smallest value in z, -2\/5, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*w**2 - 2*w**3 - w**3 - 2*w - 3*w**3 - 97*w**2 + 237*w**2 + 5 as d + q*w**3 + c*w**2 + z*w and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*u + 9*u + 2*u)*(-3*u - u + 0*u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/11 - -3*(-106)\/(-66). Suppose h - 2*n - 619 = -5*n, 4*h = -g*n + 2462. What are the prime factors of h?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 + -130.8. Let x = r - 10.7. Which is the third smallest value? (a) -1\/9 (b) x (c) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 4*s - 3. Let k = -12 + 8. What is o(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 57. Solve -f = -t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55.89 - 0.11. Let l = -55.67 - s. Let k = -0.311 + l. What is k rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/((42\/(-72))\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 - 3*n + 2. Let v be o(2). Let t = -117 - -176. Let r = t - -13. What is the highest common factor of v and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 (base 6) in base 15?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/447947574 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*s = -837 + 123 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-155)\/(-775)*(-1)\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/16833051 and 44\/28055085.\nAnswer: 84165255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -384 - -715. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)\/sqrt(80))\/(sqrt(6)\/(sqrt(12)\/sqrt(4) + sqrt(3))) - 2*2*(0 + sqrt(720) - sqrt(720)))**2*6.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -z - 0*z + 94, -3 = 3*q. Let w(y) = -36*y - 36*y + z*y - 37*y. Let h(t) = 4*t**2. Give h(w(p)).\nAnswer: 1444*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2795.018 - 2795. Let a be (-1)\/(1 - 2)*-1. Is a less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 3279*w\/4 - 25326.\nAnswer: -(w + 1608)*(2*w + 63)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(450)\/(sqrt(36)\/sqrt(4))*-1 + 1)**2.\nAnswer: -10*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 6*d + 148. Let u be (2*-1 - d\/57)*-3. Solve 0 = -u*z + 31 - 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24152135 + 1?\nAnswer: -24152134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 357, 541, 725, 909, 1093?\nAnswer: 1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bb5 + 5?\nAnswer: -bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 6254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58*(-9)\/180 + (108\/(-8))\/(-9)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88.2 - -88. Which is the closest to z? (a) -1\/4 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 1615*i - 379990.\nAnswer: 5*(i - 158)*(i + 481)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -253, -1, 1\/36 in decreasing order.\nAnswer: 1\/36, -1, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3634 and 22910?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((0 - 1) + 23 + 0 + 7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1026 and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/8*8\/1. Solve 0*m - 15 = -3*m - 3*r, 4*m - r = c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9295*q + 27890*q - 9299*q - 9298*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70301, -70300, -70299, -70298?\nAnswer: -70297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40\/7 + -36\/7. Which is the third biggest value? (a) 5 (b) -2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1116, -4475, -10090, -17973, -28136?\nAnswer: -40591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 4*i**2 + i**2)*(-4 + 2 - 2).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 156*o**3 - 14 + 24.\nAnswer: -156*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4618, -7995, -17204, -35161, -64782?\nAnswer: -108983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4 = 3*k, 9*k = 4*k - 5*j. Suppose 4*p = -m + 97, 4*p = 2*p + k*m + 56. Calculate the highest common divisor of 25 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -735, -2937, -6607, -11745, -18351?\n\"Answer: -734*d**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 131 - 111 - (-1 + (2 - -6)) - -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167 + 167.066. What is n rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/14*(-120)\/(-150).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -34 (b) -0.1 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1) - (-289)\/324. Let u = 2\/188194849 + -1147423996945\/243900524304. Let t = m + u. Calculate the common denominator of t and 109\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 681369324.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111567909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 77, 4, -0.6, 2 in descending order.\nAnswer: 77, 5, 4, 2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 213395498 divided by 86\nAnswer: 2481343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/447, 0.01, -2\/13 in ascending order.\nAnswer: -2\/13, 2\/447, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 9*h**2 + h - 6. Let s be m(9). Suppose -s*l - 2*l = -15. Let t(i) = 2*i**2 + i - 4. Does 6 divide t(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**7\/7 + 7*w**4\/12 + 8*w. Find the third derivative of z(m) wrt m.\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -20. Suppose n = -3*p - l - 0 + 5, -5*l + 5 = 5*p. Which is the closest to -3? (a) p (b) 0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - z = 133, -4*q - q + 2*z = -220. Solve 0 = 42*v - q*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.8 + 4. Let l(v) = v**3 + 40*v**2 - 179*v - 137. Let i be l(-44). Which is the third biggest value? (a) 2\/47 (b) y (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 2*k**2 + k - 3. What is h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 8. Let m be r(-14). Suppose -4*v = 12, 4*w - m = -2*v + 4*v. Let f = 6 - w. Solve 0 = f*l - 2 - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2647\/4 + 653. Let m be ((-1)\/(-3))\/((-1)\/(-3)). What is the common denominator of l and 2\/6 - (m + 466\/300)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) -2\/3 (b) 0.3 (c) 0.5 (d) 766 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -231?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60273 and 259192.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -325.19 in -1\/2, 4, 18, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 less than -73403\/5173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**3 - 3*k - 16*k**3 + 4*k**3.\nAnswer: -22*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16579 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -5*x**3\/12 + 3*x**2\/2 - x + 25. Find b, given that u(b) = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -87099*r. Let s(k) = -3*k. Calculate s(v(y)).\nAnswer: 261297*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 7*h**2 - h + 11. Let p be c(7). Suppose 12 = -3*z, -z - p*z = -3*q + 338. Let n = -44 + q. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millisecond in microseconds?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/238 and 69\/59534?\nAnswer: 416738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(x - 2*x + 0*x + (-2 - 3 + 1)*(2*x - 2*x - 3*x)).\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27179051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**9*x*x**11)**(-4\/15))**1 assuming x is positive.\nAnswer: x**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642479\/27 + (-11)\/((-297)\/(-258)) + 10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/14*5*(-18)\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by (3\/6)\/(2\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 114610*c\/3 - 10561048\/3.\nAnswer: 2*(c - 57397)*(c + 92)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-8)\/(c*c**(2\/19)))\/((c*c**2)\/c)**(-7))**(4\/5) assuming c is positive.\nAnswer: c**(372\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*w - 66*w + 345 + 1191. What is the remainder when 889 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429583?\nAnswer: 7, 11, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12301 - 33?\nAnswer: 12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -12*v**3 + v. What is the remainder when 16 is divided by l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122274 - 71474. What are the prime factors of q?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14220 (base 5) to base 13.\nAnswer: -702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, y: 4}. Give prob of sequence yy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 102179 and 17358.088?\nAnswer: 84820.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 1166878959942.\nAnswer: 1166878959941.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 4:06 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2604324, -5208647, -7812970, -10417293, -13021616?\nAnswer: -15625939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 <= -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**2 - 16*c - 23. Let v(h) = 4*h**2 - 11*h - 15. Let k(m) = 5*r(m) - 8*v(m). Let x be k(5). What is the second smallest value in 3, x, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 - 18 - 0\/(2\/1). Let z(u) = 33*u**2 + 27*u. Let f(o) = 50*o**2 + 40*o. Let b(q) = m*z(q) + 5*f(q). Find the second derivative of b(c) wrt c.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9729.\nAnswer: 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -30, 1\/10, -2, 2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2. Let i(k) = 5*k**2 - 3. Let j(y) = 4*y**2 - 2. Let p(s) = 2*i(s) - 3*j(s). Give p(h(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -4128, -0.73, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 698*n**2 - 699*n.\nAnswer: n*(n - 699)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 4\/3*k**3 + 34 + 0*k**2 + 0*k. Let l(n) = 11*n**2. Determine h(l(m)).\nAnswer: 484*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/60 and 10\/92799.\nAnswer: 1855980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4597, -9193, -13789, -18385, -22981, -27577?\nAnswer: -32173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 2:03 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1612 divided by 4.\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 6403 + 2*x - 6245 + 19048 + x - 6400.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22097, -2, 20 in ascending order.\nAnswer: -22097, -2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*v + 310*v - 1422 = 0. What is the lowest common multiple of v and (-1 + 12)*1*3?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 877303288.\nAnswer: 2, 109662911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*m - 1 - 1, -5*x + 3*m + 29 = 0. Solve 2*o - 2*o + 4 + x*o**2 + 8*o = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 306\/15 + 2\/(-5). Solve 53*o + m = 49*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*p - 20, 5*p + 20 + 7 + 1 + 2 = 5*j + 2*p for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12044\/9 - 208781\/156. What is the common denominator of z and 133\/234?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7513.223 centuries in millennia?\nAnswer: 751.3223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 23 + 7)*(-2*m**3 + 4*m**3 - 4*m**3).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3acc (base 16) in base 4?\nAnswer: -3223030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 9*c**2 - 33*c - 31. What is u(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3113 is divided by 655?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 41841*v - 8897688.\nAnswer: -3*(v - 13731)*(v - 216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -59, -102, -149, -194, -231?\n\"Answer: u**3 - 11*u**2 - 7*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let k(i) = 4*i + 2. Let l(b) = -k(b) + 2*p(b). Let z be l(-3). Solve 11 + 9 = -z*w - 2*g, 3*w = g - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/18)\/((-4)\/6). Solve -m + b*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -231 and 596236.\nAnswer: -137730516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**3 - 126*m**2 + 68*m - 100. Determine n(31).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-9) - (-11330)\/198?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -8. Let w be (-3159)\/(-24) + 3\/8. What is the highest common factor of w and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a millennium in centuries?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -20. List the prime factors of (-8 - 17)\/(z + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 4*q + 25. Solve 2 = q*u + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/117)\/((-2)\/(-26))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmzz when four letters picked without replacement from {m: 5, z: 2, h: 2}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**4 - 6*g**3 + 4*g**2 - 28*g - 2. Let f(m) = -m**4 + m**2 - m. Let d(n) = 4*f(n) - j(n). Find the second derivative of d(v) wrt v.\nAnswer: -36*v**2 + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800381920109 less than 150?\nAnswer: -800381919959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2. Let o(z) = -56360*z. Calculate i(o(t)).\nAnswer: -6352899200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*g + 35489 - 39521 = 0 for g.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 2*i**2 - 6*i - 4. Calculate x(-5).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*12\/(-24)*5*(-21)\/(-7665).\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (17 - 2)*3\/9. Suppose -2*q = -n*q + 12. Suppose 256 = -29*t + 314. Solve 29 = -5*o + t*d, -q*d - 5 + 3 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -4*h + 8*h - 8, 0 = 2*x - 5*h - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*w + 102*w = 4*q - 0*q - 108*w + 25, -3*q - 40 = 5*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204 + -196. Suppose 5*c = i*c - 465. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-493)\/(-116))\/(6\/(-8) + (-3)\/(-6)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 - 5*c**2 + 4*c. Let o(j) = 2*j**3 - 4*j**2 + 3*j. Suppose 3*z + 9 = -0*z. Let d(h) = -3*h - 2. Let k be d(-2). Give k*o(f) + z*a(f).\nAnswer: -f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506477 is divided by 63.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3.45 * 0.4\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 2:53 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 1. Let h(m) = 62*m + 11. Let p(j) = -h(j) + 6*i(j). Let s(v) = -918*v - 68. Let a(x) = -68*p(x) + 5*s(x). Let z(r) = 2*r. Calculate a(z(d)).\nAnswer: 68*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -73700 divided by -10\nAnswer: 7370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 16 = 0, x = -1434*l + 1432*l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 24*c - 26*c + 16 = 0, -5*w + c - 17 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y**4\/5 + 5669348*y**3 - 12555322135644*y**2\/5 + 40804518788928*y\/5 - 9416422506672\/5 = 0 for y.\nAnswer: 1\/4, 3, 885834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 3:28 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 792, 1401, 2010?\n\"Answer: 609*q + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 67 + 24 = 4*q, -4*b = -2*q - 2. Let r = 14 - q. Suppose 4*k - 50 = 6. What is the highest common factor of r and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 35*p**2 + 63*p - 468. Is 22 a factor of h(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -n + 4*z, 3*n - 2*z - 9 + 3 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 11:17 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from egeeggegggeggegggge.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/24 - -4)*(-1 - (-20)\/15). Let y(n) be the first derivative of -g*n**2 - 34 + 3*n. Let h(m) = 2*m - 3. Calculate -4*h(l) - 3*y(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*w - 2 + 3*w + 0*w - 4*w + (w - 1 + 1)*(-25 + 13 + 41))*(-28*w + 28*w + 10*w**2) + (3 - 3 - 1)*(-w**3 + 2*w**3 - 2*w**3).\nAnswer: 261*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(243)*-2 - sqrt(243) - sqrt(243))*4 + sqrt(243) - (-3 + 0 + sqrt(243)))**2*-2*-4.\nAnswer: -20736*sqrt(3) + 1493208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*t**4 + (-t**2 - t**2 + 5*t**2)*(-3*t**2 + 4*t**2 - 3*t**2) - 2*t**4 + 4*t**4 - t**4.\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 20. Let j be s(7). Let w be j\/8 - 52\/16. Is w\/2 + 162 + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -22. Suppose -5*g + 22 - 12 = 0. Suppose -8 = -5*c + w, -3*c - g*w = -4*c - 2. What is the lowest common multiple of n and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 7*i + 3*p - 8*p + 54, 7*p - 70 = 0. Suppose -16 = 5*l + 9. Put 3, l, i in descending order.\nAnswer: i, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*h**3*r - 4*h**3 + 28*h**2 + 2*r wrt h.\nAnswer: -258*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 4545.89560054?\nAnswer: -4538.89560054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38.095 - 0.095. Let s = -38.09 + b. What is the second biggest value in -4, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2\/604616071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 22. Let r be s\/25*5\/(-1). Suppose 3*i + 3*d - 22 = 8, 4*i - r*d - 5 = 0. Which is bigger: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*w**3 + 55*w**3 + 138*w**3.\nAnswer: 264*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 0*y**2 + y + 2 + 4*y**2 - 13*y - y**2. Let k(a) = 91*a + 732. Let f be k(-8). Let v be s(f). Let r(l) = -l**3 + l**2 - 2. Determine r(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -12*i**3 + 5*i**2 - 4*i - 1. Let y be r(1). Let l be (-4)\/10 + 2 + (-14 - y). Which is the third biggest value? (a) l (b) -39 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 10:21 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 457*h**2 - 11*h + 100. Let z(j) = 152*j**2 - 4*j + 33. Let b(a) = 6*w(a) - 17*z(a). Find the second derivative of b(p) wrt p.\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3281 + -877. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8416*a*j*l*r - 3*a*j*l + 30608*a*j*r**2 - 2*a*l*r + 30*j*l*r - j - 436*l*r**2 wrt r?\nAnswer: 61216*a*j - 872*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20217 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1521*j + 1520*j + 5*v = 10, -13 = 2*j - 4*v + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 173829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 30 = -2*m. Let c be (-12644)\/80 - ((-15)\/m)\/(-5). Let w = -156 - c. What is the common denominator of w and -25\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 562713.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/9, -1\/2, 1\/4, -2\/31?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/24 of a day?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -11. Sort -1, 2, h in ascending order.\nAnswer: h, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6690, 13376, 20056, 26730, 33398?\n\"Answer: -3*d**2 + 6695*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -819041, 1.\nAnswer: -819041, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0*x - x)*(2 + 3 - 3) + 49*x - 95*x + 48*x - 1.\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 2, -11 in increasing order.\nAnswer: -11, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*((-2)\/2 - -2). Let n = -501 - -499.6. What is the second smallest value in 2, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 5. List the prime factors of (6\/(-1))\/((-6)\/k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 250*q**2 + 3051*q + 7110.\nAnswer: (q - 237)*(q - 15)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 3*m + m)*(-4*m**3 - 4588*m + 4569*m + m**3 + 2).\nAnswer: 12*m**4 + 76*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961102.\nAnswer: 2, 53, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (2 + -3 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 15*i**2 + 29*i - 6. What is the tens digit of y(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/50 + -73\/450. Let t = 270 - 265.12. Let q = t + 0.12. Which is the nearest to o? (a) q (b) -2\/7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 10*i = r - 197, -3*r - 169 = -4*i. Suppose 5*k - 2*u - 3*u = i, -4*k + 2*u = -32. Which is smaller: 11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.07865 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**4 + 195*b - 196*b - 2 - 7*b**2 + 1 as t*b**2 + c*b + k*b**3 + r*b**4 + v and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 65. Determine w(0).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 45 + (1 - (-10)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - a**2 + 4*a**2 + 5*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let o(i) = 396728*i. Determine o(p(r)).\nAnswer: -396728*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21233653.\nAnswer: 7, 181, 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*t - 71, d + 4*d - 77 = -4*t. Calculate the smallest common multiple of 7 and d.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -5, 0.07, -0.2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, -3, 158, -94 in descending order.\nAnswer: 158, 2, -3, -15, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 5*q - 3. Let n be g(4). Let y(j) be the second derivative of j**3\/6 + 5*j**2 + 3*j. Let o be y(-5). Solve -n + o = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 12*i**5\/5 + 3*i**4 - 2467*i + 5248. Find the first derivative of h(z) wrt z.\nAnswer: 48*z**3 + 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1070 (base 15) to base 10\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000137625 to seven dps.\nAnswer: 0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqhkhhikivqhhikhhk. Give prob of sequence vqq.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74558875?\nAnswer: 5, 31, 71, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1912 - 1912 + 74*f)*(f + f - f) to the form m + p*f**2 + r*f and give p.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 6*n**2. What are the prime factors of a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65888688.7 rounded to the nearest 1000000?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-20)*(6 - (-62)\/(-10)). Let p(w) be the first derivative of 5 - d*w**5 + 1\/5*w**2 + 2\/15*w**3 - 1\/10*w**4 + 0*w. What is n in p(n) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -322*u - 7. Let t be c(2). Suppose z = -4*z + 5110. Let i = t + z. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 7164670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 2816867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3 = 19. Suppose 2*c - i*w - 2 + 10 = 0, -c - 2*w = -12. Differentiate -r**3 - 3 + 5*r**3 + 2*r**c - 4*r**3 with respect to r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (0 - 0) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -469390 divided by 73.\nAnswer: -6430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q + 54. Suppose 5*b + 2 - q = 0. Solve 0 = b*n - 3*n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olm when three letters picked without replacement from mdodmdmldd?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1216*h + 1216*h + 29*h**5 + (-h + h - 20*h)*(3*h**4 - 4*h**4 + 0*h**4 + (4 + 0 - 3)*(-2*h**4 - 4*h**2 + 4*h**2)).\nAnswer: 89*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1639324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 18*t - 485. Suppose 4*r = 4*b + t, b - 9 - 13 = -4*r. Let w be (-7 + 6)\/((-1)\/2). Solve r*n = w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 18 = -16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*v + 8 = 45*v - 2*q, 2*q - 16 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(30)\/sqrt(3)) - (sqrt(288) + (sqrt(288) + (sqrt(288)*2)**2 - sqrt(288))) - sqrt(22)\/(-2*sqrt(704))) + -4.\nAnswer: -1156 - 175*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (57\/69 - 1)*-32. Let y = -67\/207 - g. Find the common denominator of y and -30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01245 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4 - 4356*s**3 - 280152*s**2 - 2860336*s + 60994560 = 0. Calculate s.\nAnswer: -2112, -38, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*0 - (-50 - 3952\/(-80))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 - -2. Let i = 0.039 - -0.461. Which is the nearest to j? (a) -0.4 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52992 and 36451872.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2 + 38. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gygg when four letters picked without replacement from {g: 11, y: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/11))**(-12\/7)*(i\/i**(-5))\/(i\/((i\/(i*i*i**(-36)*i))\/i)))**(-7\/3) assuming i is positive.\nAnswer: i**(-2914\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4\/7 + 12*o**3\/7 - 2*o**2\/7 - 48*o\/7 + 40\/7 = 0 for o.\nAnswer: -2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 0*o**3 - 4*o + 2*o**3 + 2*o + 5*o**2 - 3. Let x be c(3). What is x rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + -7 + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jryrjryyejyjryrrjyr. Give prob of sequence ryry.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 139907937?\nAnswer: -139907936.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 - -14?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -19*x + 407. Let h be 14\/4*(-72)\/(-42). Suppose 0 = 2*t - h*t + 176. Calculate the remainder when t is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -73. Let l = 119 + i. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j**2 + 13*j**2 - 4*j**3 - 3*j**2 + 19*j**3 to z + x*j**2 + q*j + c*j**3 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25111 + -20?\nAnswer: -25131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1503, 3, 112307 in decreasing order.\nAnswer: 112307, 3, -2\/1503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9 = 5*k, -2*k = -r - 0 - 3. Let o(z) = 11*z - 1. Let y be o(k). What is the highest common factor of y and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - i - 29. Calculate the remainder when i is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 83*z**2 + 3*z + 4. Suppose -4*r - 5*q + 16 = 0, 2*r - 5*q = -0*r + 38. Suppose -3*n - 18 = -r*n. Let y be p(n). Round y to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -l + 6*l. Suppose 46 = 23*v + 621. Let f = v + l. What is the greatest common divisor of f and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21042336, 21042333, 21042330, 21042327, 21042324, 21042321?\nAnswer: 21042318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 236.8167 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (6\/(-4))\/((-138)\/(-368)). Let m = -125 + 200. Let p be (-3)\/m*j*5. Which is the nearest to 2\/3? (a) p (b) -2 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88081 less than 88080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14182 is divided by 418?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 0.1725.\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 303, 2873, -4 in descending order.\nAnswer: 2873, 303, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128209 is divided by 1337.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -13*j - 2. Let q be n(-2). Suppose -9*l = -7*l - q. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-3)\/(-42))\/(145053\/57658 - (-4)\/(-254))\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 + 1. Let m(j) = -4*j**2. Let k = -553 - -550. Determine k*z(o) + 2*m(o).\nAnswer: o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 243*s**6*u + 4*s**6 - 2*s**2 + 2*s*u - 82*u wrt s?\nAnswer: 29160*s**3*u + 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 9. Suppose -4*y - 5*d + 25 = y, 2*y = 4*d + 4. Let b be l(y). Suppose -2 - 43 = -b*q. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42054 (base 12) to base 16\nAnswer: -151c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, 32, 0, 1, 3 in decreasing order.\nAnswer: 32, 3, 1, 0, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 291 = 12*i + 3*u, 5*i - 5*u - 355 = 0. Suppose -1638 = i*k - 90*k. What is the greatest common divisor of 52 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 316 - 312. Let v be (p - ((-24)\/(-6))\/4) + -38. Put 3, 4, v, -1 in increasing order.\nAnswer: v, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40261*r**4 - 34*r**3 + 10380522*r.\nAnswer: -483132*r**2 - 204*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 420 - 211. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*(sqrt(432) - (sqrt(432) + -2 + sqrt(432))) + 2*sqrt(432) + -2 - -2*(1 + sqrt(432) + 5 - sqrt(432))*-1)**2.\nAnswer: 960*sqrt(3) + 2480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0 + 4 + 19 + 2*h as v + u*h and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 74*c**4 + 4147*c**3 + 168*c**2.\nAnswer: c**2*(c + 56)*(74*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 16. Let u be x(12). Let r be -4 + (371 - 1) + -4. Find the common denominator of 10\/40 + r\/u and -49\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Suppose 3*x - 2*y - 13 - 7 = c, -2*x = 2*y. Suppose d = 4*f - 7, -d - x*f - 13 = -6*d. Solve 2*i - 10 = -d*n, 4*i - 2*i - n - 10 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + k - 1. Let b(l) = 3*l**3 - 3*l**2 - 5*l + 7. Let o(x) = -b(x) - 4*r(x). Let s be o(4). Suppose 0 = 4*d + s - 161. Are 13 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 4063*y + 2578223. Calculate s(-787).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28481*b*x**3 - b*x**2 - 5*b*x + 2986*b wrt x.\nAnswer: -170886*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 3*b = 90. What is the units digit of (-104 + 2\/(-1))\/(b\/15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = 2*f. Let m be (49\/15 + f)\/2. Is 0 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1697133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Suppose -4*y + d*j = -54 - 18, 0 = 5*y + 5*j - 50. Suppose 2*g + y = 3*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143603*b**4 - 19*b**3 + 2443*b**2 + 335 wrt b.\nAnswer: 3446472*b - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 15877\/8 - 1996. Find the common denominator of d and -17\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 327008 (base 15) to base 13\nAnswer: 6619ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + b - 13 = 0, 0 = -24*x + 21*x + 22*b + 42 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5056*r - 5056*r + 10*p, -5*r = -2*p - 72 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**4 + 591500*q**3 + 11240310*q**2 - 591500*q - 11240305 = 0.\nAnswer: -19, -1, 1, 118319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59941904999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1099, 1247, 1459, 1735, 2075, 2479?\n\"Answer: 32*b**2 + 52*b + 1015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 164 (b) -0.5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 3. Let h be (76\/(-57))\/(4\/18). Let i be 9\/2 - u\/h. Solve -5*x + i*x - 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 + 138. List the prime factors of n\/(-9) + 7992\/243.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 6:11 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 - 70*u**3 - 67*u**3 + 138*u**3.\nAnswer: u**3 + 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1225)*1*6)\/(sqrt(40)\/(-2*sqrt(40)\/sqrt(5))))**2.\nAnswer: 35280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1773 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287315.\nAnswer: 5, 7, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10\/6137?\nAnswer: -10\/6137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 31.18\nAnswer: 155.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(119)\/(sqrt(7) - -2*sqrt(7)) + (sqrt(17)*1)**2 + 4)*-3.\nAnswer: -378 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 66.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*n = -378. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48225082.\nAnswer: 2, 24112541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**4\/24 - c**3\/3 - c**2. Let r be a(-10). Solve 0 = -j - j + r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (335 - 62 + 5087*q + 2*q**2 - 273)*(-3*q + q + q).\nAnswer: -2*q**3 - 5087*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1747604886?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 + 5*m**4 - 2*m**4)*(3 - 1 + 1)*(-297 + 140*m + 297).\nAnswer: 840*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 559024 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 - -10) - (31 - 41).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-9)*(-102)\/(-34)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**2*i*j*x**3 + 2*g**2*i*j*x**2 - 2*g**2*i*x + g**2*j*x**3 + g**2*j - 2*i*j*x**2 - 6*i*x**3 wrt x.\nAnswer: 6*g**2*i*j + 6*g**2*j - 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*g = -s - 20, 16 = 3*s - g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/245 - (-2 + (-634)\/(-567))\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.19531um to centimeters.\nAnswer: 0.004619531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a*r - 6481*a + 2249801*r - 101 wrt r?\nAnswer: -a + 2249801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 >= -119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 4948861 - 4949124 - 4949126 + 14847111.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24918954.090083 + -4?\nAnswer: 24918950.090083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4.7 * -2445\nAnswer: -11491.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y*y*y**(-2)*y)\/y))\/y**(-1\/9))\/(y**(2\/3))**(22\/7) assuming y is positive.\nAnswer: y**(-125\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 23*c**2 - 10*c - 58. Determine v(12).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 7*f**2 - 6*f - 9. Let n be c(-6). Let b(p) = -8*p + 1. Calculate the remainder when (-4 - -7)*(-51)\/n is divided by b(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 33.85567 weeks?\nAnswer: 20475909216000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6*3\/(-1). Is i*58*25\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 61\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -273, 4, 2 in decreasing order.\nAnswer: 4, 2, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(84) + sqrt(84) + 3*sqrt(84)*2)\/((1*sqrt(84))\/sqrt(7) + (sqrt(300) - sqrt(300)*3 - sqrt(300)) + sqrt(12)).\nAnswer: -15*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755889308 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 2465.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 133 or 1\/3?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3266.2 times -0.1088\nAnswer: -355.36256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - v**3 + 7 + 2*v**4 + 5 - 4 in the form m*v**2 + d*v**3 + p + l*v + z*v**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 187579223 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l + 7. Let x = -6 - l. Let f(w) = -7*w. Give f(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 11*u**2 + 13*u + 24. Let k be m(-12). Solve 11*r - 7*r + k = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 68 (c) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5\/9 + 3536*d**4\/3 - 42496*d**3\/3 + 510208*d**2\/9 - 226816*d\/3.\nAnswer: 2*d*(d - 4)**3*(d + 5316)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(175) - sqrt(7)))\/(sqrt(8) - (sqrt(8) - sqrt(16)\/sqrt(2))*4).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 2, n: 1, d: 1}. What is prob of sequence gpd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + 75. Let p = -33 + q. Let k = 7 + p. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6040 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101222022 + -112200?\nAnswer: 2101102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 6590 = -9533 - 29379. What are the prime factors of i?\nAnswer: 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 5:32 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3204434220 + -1?\nAnswer: 3204434214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 303602 - 664?\nAnswer: 302605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/327 + 1321\/4251. Is 0 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26294124 and 24.\nAnswer: 52588248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118 and 12?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5 + (102\/20)\/((-154)\/(-308))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20 + 21)*((-143)\/(-71) + -2). Sort -1\/2, 0, c.\nAnswer: -1\/2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 19552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87733\/37 + 2371. Which is the smallest value? (a) p (b) -3 (c) 2 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**4 + 1750*s**2 - 254*s**2 + 976*s**2 + 2 + 1217*s**3 wrt s.\nAnswer: -24*s + 7302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 1906*b**3 + 7 - 7.\nAnswer: -1906*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13400736 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -98*a**3 + 127*a**2 + 0 + 0*a + 49\/40*a**6 + 3\/112*a**8 + 339\/20*a**5 - 1\/2*a**7 + 7*a**4. Suppose r(n) = 0. What is n?\nAnswer: -2, -1, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*1746\nAnswer: -5238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 13132 + 13132.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**2 - 6*t - 5. Let j(p) = 13*p**2 - 11*p - 9. Let f(q) = 11*a(q) - 6*j(q). Let r(l) = -2*l**2 - 20*l + 3. Let s(g) = -3*f(g) - r(g). Factor s(w).\nAnswer: 5*w*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66187 is divided by 416.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24995187 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -250 and 0.93598?\nAnswer: -233.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4642*z - 56539 - 101982 = 22517 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4059550723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffufufffffuf. Give prob of sequence fuu.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1630 and 6257210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*s - 543 = p, 2*s - 266*p + 21 = -267*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 69661994 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 6:00 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 12*k + 2. Let a be u(-12). Suppose 4*j + 3*l = -0*l + 40, -j = -a*l + 1. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1381 (base 9) to base 5.\nAnswer: -13140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 + -85. Suppose -3*y = 2*h + 5, -4*h + 9*h + 4*y = -2. Suppose f = 5*q - 19, -4*f + h*f - 5*q = -22. Calculate the lowest common multiple of l and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-1\/2)*m)**(-21)\/((m**(1\/10)\/m)\/(m**(-2)\/m))*m**(-2)*m\/(m\/(m*m**(3\/2))*m)*m\/(m*m*m**(-6)*m*m)*m**(-5) assuming m is positive.\nAnswer: m**(-571\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15271673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -108950, -217902, -326856, -435812, -544770, -653730, -762692?\n\"Answer: -p**2 - 108949*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 314\nAnswer: -125.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/30)\/(13\/(-65)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 189\/2 + -94. What is the second biggest value in 4, -4, 3\/2, l?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**3 - 5*a**2 + 4*a. Let d(o) = -10*o**3 - 16*o**2 + 12*o. Calculate -5*d(w) + 16*k(w).\nAnswer: 2*w**3 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*s + 48*s + 15*s**2 - 91*s + 5*s**2.\nAnswer: 20*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52590341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6917733411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6*6\/24)\/(0 - 12). Which is the closest to 1? (a) z (b) 2\/9 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 16 - 4 = 0. Let a be (-4)\/6*3*z. Is 677\/7 + a\/28 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -384.\nAnswer: -384, -8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29\/370 or -1?\nAnswer: 29\/370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a2100 (base 12) to base 5.\nAnswer: -23222320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3895 and 9?\nAnswer: 35055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -882, -3005, -7146, -13977?\nAnswer: -24170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from nlhnnnnlnnhnhllh.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 3 (c) -0.5 (d) 1\/4 (e) 34239 (f) 232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48752 and 416.\nAnswer: 1267552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {d: 3, h: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 395 - 389.38. Let d = -0.65 + a. Let y = -4.96999781 + d. What is y rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 65*h - 21*h + 33*h)*(4 - 1 - 1) in the form l*h + t and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 13683280217.\nAnswer: -13683280217.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27018 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1775*p**3 + 4*p**2 + 12*p + 25. Let r(u) = -7100*u**3 - 15*u**2 - 44*u - 99. Let t(y) = 15*q(y) + 4*r(y). Find the second derivative of t(m) wrt m.\nAnswer: -10650*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 12:04 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + k)*(-5 + 2 + 2)*(-5 + 1 - 3).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 23. Give i(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21232 * 1.6029.\nAnswer: -0.340327728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let p(t) be the first derivative of 5*t**3\/3 - 3*t - 2. Let c(v) be the first derivative of p(v). Give c(m(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 - -0.41. Let j = -0.4 + -0.1. Which is the closest to k? (a) -4 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-9)\/42)*((-1)\/4)\/(3910\/(-920))\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*j + o - 0*o, -4*o - 36 = -2*j. Let h(i) = -i**3 - 13*i**2 + 13*i + 11. Calculate the remainder when h(-14) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -367\/5 + 73. What is the nearest to -1 in 0.1, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -1\/21 (b) -2390 (c) -1\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 9 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197619 is divided by 24696?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - o**2 + o + 1. Let u(g) = -g**3 + 8*g**2 - 2*g - 11. Let q be u(7). Let f(y) = 10*y**3 + 8*y**2 - 8*y - 8. Calculate q*d(c) + 3*f(c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(18))*6.\nAnswer: -72 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - m + m - 2*m + m**2 - 4*m**3 - 6*m**4 as u*m**2 + n*m**4 + c + z*m**3 + p*m and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from fiibbbbbfbbfbf?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -34234320 to the nearest 100000.\nAnswer: -34200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 176 + 76 - 276)*(-9*t - 3*t + 4*t).\nAnswer: 3040*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 12111*w + 12114*w + 106 = 0, -61*w = -4*l - 212 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*u = 3*u - 236, 16 = 4*u. Calculate the common denominator of (-411)\/g - (7 - 6) and (29\/(-2))\/(-9 - 2).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36568 and 327806?\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2458*c**2 - 17*c + 17. Let k(w) = -2459*w**2 - 20*w + 18. Let l(y) = -3*g(y) + 2*k(y). Find the second derivative of l(m) wrt m.\nAnswer: 4912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0)*7\/(-14)*-1. Suppose 2 = -a*u - u, -5*c + 140 = 5*u. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.189073973 + -28.\nAnswer: -27.810926027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2267784 = -258*s + 188*s + 958516. What is the highest common divisor of s and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8612*m - 12906*m + 3615*m = 2112554 for m.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b = 51*b + 63 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04481 + -1.00999. Let d = 1.11 + o. What is d rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441133831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 4:48 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 6*v**2 - 9*v - 6. Calculate o(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -a172 (base 11) to base 15\nAnswer: -400a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150 - -154. Let g(s) be the first derivative of -78 + 5*s**5 + o*s**2 + 56 + 2*s + 3*s**2. Find the second derivative of g(w) wrt w.\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11066 is divided by 194?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 327 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9414205 decades in millennia?\nAnswer: 0.009414205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4, -a + g + 0 + 2 = 0. Let r(q) = -q**3 - 5*q**2 + 3. Let y be r(-5). Suppose a*l - 12 = y*l. Calculate the remainder when 33 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179949 - -0.00653.\nAnswer: 179949.00653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 650604 = -5*u + 1509973, 4*m = 3*u - 1296353. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -618 + 617.7. What is the fourth biggest value in -469, -5, -2, n?\nAnswer: -469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2003 (base 7) to base 3\nAnswer: 221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255324?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - 7\/((-7)\/2). Let d = 3 + l. Find the third derivative of -h**3 + h**d + 3*h**3 - 2*h**3 - 4*h**4 wrt h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -270*n**3 + 136*n**3 + 88*n**2 + 159*n**3 wrt n.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (23 + (7 - 34)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + g - 5, 3*p - 4*g - 6 - 7 = 0. Suppose 11 = p*c - 1. Solve -4 = -c*u - 0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g + 14*g - 19*g + 273*g**2 - 203*g**2 as c*g**2 + t*g + w and give c.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -98\/3. Let i be -2*(2 + (-2 - -1)). Put v, i, -1 in ascending order.\nAnswer: i, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20097.53 + 0.3.\nAnswer: 20097.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 27 - 33 = 0. Suppose -p - 4*p - 10 = 0. List the prime factors of c\/10*p\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -38, -87, -156?\n\"Answer: -10*i**2 + i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -609 = -24*k + 183. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1934, -1961, -2034, -2177, -2414?\nAnswer: -2769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.472 - 0.472. Put 25\/3, g, 0.4 in descending order.\nAnswer: 25\/3, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - y + 2, -3*y = -7*y - 16. Suppose 10 = 3*h - h. Suppose h*p = -w + 35, w = -4*p + u*w - 1. Is p at most as big as 9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 12*z + 10. Let d be b(-5). Let m be 2 - (-3)\/(-1) - d. Suppose 53*y = m*y + 816. List the prime factors of y.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 23621\nAnswer: -5\/23621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11)\/q)\/((q\/q**(4\/17))\/q) assuming q is positive.\nAnswer: q**(-200\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165 - 160 - (35 - 4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aihbxss. What is prob of picking 1 h, 1 s, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10370 is divided by 94.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306056 and 180436.\nAnswer: 2284","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -82, 0.38, -6394?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145 + 159. Which is the second smallest value? (a) -2\/7 (b) -11 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9851 + -4183. List the prime factors of t.\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.111 + 1.1384.\nAnswer: 1.0274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -68*t**5\/3 - 247294*t**4\/5 + 1487896*t**3\/15 + 5202886*t**2\/5 + 4485948*t\/5 + 26208\/5 = 0.\nAnswer: -2184, -3, -1, -1\/170, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -a + 3448, -5*a + 978 = -4*x - 16244. Which is smaller: 3440 or a?\nAnswer: 3440","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpttwtw. Give prob of sequence ltw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -40*a + 3. Let y be z(5). Let l = y - -2563\/13. What is the second smallest value in l, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -197.3, -11, 267, 2\/3 in ascending order.\nAnswer: -197.3, -11, -0.3, 2\/3, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3231 - 4?\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*x**2 + x + 4\/3.\nAnswer: -(x - 4)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*n - 132 = 151*n + 117*n. Put 131, -5, 4, 6, n in descending order.\nAnswer: 131, 6, 4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*h = 459*h + 372*h - 737*h - 37632 for h.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = s - 13. Let t be (-7)\/(-28) - s*6\/(-16). Let p(u) = -u**2 + 2*u + 4. Let l(a) = -3*a**2 + 5*a + 9. Give t*l(g) + 5*p(g).\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(sqrt(88) + 1*sqrt(88)*-2 + sqrt(88) - sqrt(88)))\/((2*sqrt(64))\/sqrt(8) - (sqrt(88) - 1*sqrt(88))\/sqrt(11)).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*u + 69*u + 66*u + 66*u + 68*u - 342*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -811 + 865. Calculate the remainder when b is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - c - 9 - 6, -2*x + 25 = 3*c. Suppose 4 = 5*v - v, 0 = x*a - 5*v - 85. What is the least common multiple of 22 and a?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1310, 2623, 3940, 5261, 6586?\n\"Answer: 2*b**2 + 1307*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 4*c - 9 - c**3 - 4*c to the form l*c**3 + p + s*c + f*c**2 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**5 + 88535*s**4 + 885815*s**3 + 620185*s**2 - 1594530*s = 0.\nAnswer: -9, -2, 0, 1, 17717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28512, 58214, 89112, 121206?\n\"Answer: 598*j**2 + 27908*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lfllffxfffl.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -36*w + 13 + 82*w - 43*w. Give l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22, 188, 640, 1522, 2978, 5152, 8188, 12230?\n\"Answer: 24*b**3 - b**2 + b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15031308 by -2.\nAnswer: 7515654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.045 + 3.745. Let w = -0.7 + h. What is the closest to w in -2\/5, -0.3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*-1)\/((-15)\/36*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-18)*366\/(-61)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.19 - 0.45. Let l = a - -0.2545. What is l rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-35))\/(9\/378*-8)*-36.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-44)*255\/(-612)*-24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(4*b**3 - 4*b**3 + b**4) + b**4 - 1 + 1 + (-11*b**2 - 6 + 6)*(-4*b**2 + 3*b**2 - b**2).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (580\/87)\/((-16)\/(-12)). Let z(n) = -3*n - 3. Let g be z(-2). What is the highest common factor of k and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 207 + 59. Suppose -2*m = -23 + 57. Let a = m + v. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.1. Let g = -87.18 + 83.18. Which is the closest to 0? (a) -22 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -24 - 0. Let q = -33297 + 33303. Sort -1, f, q, -0.4 in increasing order.\nAnswer: f, -1, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - p - 27 = 0, 5*i + 4*p - 2*p = 142. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -1\/6 (c) 270 (d) 12 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbl when three letters picked without replacement from jjbhjljljjbj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**8\/70560 + l**6\/2520 + l**5\/15 - 2*l**2. Let u(b) be the third derivative of q(b). Solve u(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1416*i**6 + 2*i**2 - 475 wrt i.\nAnswer: -169920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 446 + -414. What is the greatest common divisor of 40 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 29*c + 67. List the prime factors of l(-23).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4 = -4*q, 38*i = 39*i + 2*q - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phphphpplhphiipp. Give prob of sequence pl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 39*n - 382. Calculate d(30).\nAnswer: 1688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0387 != 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*s = 0, -s = -0 + 4. Is v\/6 + 1235\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. Suppose -40 = 32*g + 32*g - 54*g. Sort j, -3, 1, g in ascending order.\nAnswer: g, -3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*o)*((0 + 0 - 2)*(-24 + 60 + 153) - 2 + 0 + 1).\nAnswer: -1137*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114618 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107 - -107.5. Let n = 13\/28 + -3\/14. What is the closest to n in -0.2, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -77. Suppose -3*n - 2*n + q = 0. Let r be (-1 - -1)\/(42\/7 + -5). Solve y - n*j - 6 = -r*j, 2*y + 15 = -3*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10484726?\nAnswer: 2, 7, 83, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 2, 1 in decreasing order.\nAnswer: 43, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*6\/(-112))\/(7\/((-392)\/(-32))).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(((-30)\/90)\/(1\/(-3))). Suppose -4*j - 10 = 2*v, l*v + 5*j = 7*v - 19. Solve 0 = 4*c + 21 - v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234282100.\nAnswer: 2, 5, 13, 17, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125 - 63. Calculate the greatest common factor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-2) + -2)*-110. Let x = a + -73. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 171*s - 3899. Let c be l(-27). Which is smaller: -739 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5e08c0 (base 15) in base 3?\nAnswer: 22111000021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 380717 to the power of 1\/2, to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1114284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01642 + 71.07358. Let u = x - 66.1. Let o = -0.01 - u. Which is the smallest value? (a) o (b) -7\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 360\/(-16)*12\/(-10). Let w = 31 + -10. Suppose 3*g = 7*g + 3*z - y, -2*z = 3*g - w. Solve 3*t - g = -0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/5 - 1276*q + 1771758\/5 = 0. What is q?\nAnswer: -3447, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2595657 divided by 2?\nAnswer: 2595657\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566*s - 5775 = 569*s. Is s != -1926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0129615537 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21310 is divided by 207?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2444 divided by -276\nAnswer: 611\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*q*r**2 + 204919*q + 443*r**3 wrt r.\nAnswer: -126*q*r + 1329*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4*l + 8, 3*l + 4 = 10. Let j be c + 2 + 4 + -2. Is -1*14*(-22)\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(15050\/(-700))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dc752e + -13?\nAnswer: dc751b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**11\/r)*r**(1\/2) assuming r is positive.\nAnswer: r**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 3*m + 1. Let y(d) = d. Suppose 0 = 8*n - 9*n - 5. Calculate n*y(g) - a(g).\nAnswer: g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*t + t**2)*(-72*t - 79*t + 67*t) - 3*t**3 + 5*t**3 - 3*t**3 + (2*t**2 - 5*t**2 + t**2)*(2*t - 2 + 2).\nAnswer: -89*t**3 + 168*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-33)\/((-2112)\/(-17291920)))\/(3\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4623, 9250, 13883, 18528, 23191, 27878?\n\"Answer: n**3 - 3*n**2 + 4629*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17 + -18 - 1\/(3\/(-7)). Let h(y) be the first derivative of -y**2 + 2\/9*y**3 - 2 + a*y. Factor h(l).\nAnswer: 2*(l - 2)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + 20*x - 1. Let n be b(-19). Suppose -3*s + n = 6*s. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 492 by -3.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 16*i - 6 = 0. Put -1, 2, i in decreasing order.\nAnswer: 2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -947, 6\/11 in decreasing order.\nAnswer: 6\/11, 0.1, -947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 13*r**2 + 11*r + 13. What is o(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1950 and 16471650.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63781 - 76070 = -211*a - 3200*a for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 + 1 = v, 6 = 5*v - 3*d. Suppose v*r = r. Let t(j) = -j**3 + 2*j**2 + 50*j - 101. Let q be t(7). Solve 2*n - 4*n + q = r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879344 less than -70171.2?\nAnswer: -949515.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -9*x + 8*x. Let f = -142 - x. Let u = 51 + f. Is u less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + 25*d - 15. Let y be w(-13). Let i(r) = 51*r**2 - 7*r + 1. What are the prime factors of i(y)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1188 = 5*i - 2*n - 3746, -5*n = i - 976. Suppose -2*s - i = 3*p - 4*s, -p - 328 = -s. List the prime factors of (-36)\/30*p\/9.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 995*b + 232*b + 4169*b + 2317*b - 1108*b as u + o*b and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*s = 2282*s + 8880 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18613, 18660, 18723, 18808, 18921, 19068, 19255, 19488?\nAnswer: 19773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9343\/658 - -382\/47. Let k = -12847 - -179951\/14. Calculate the common denominator of b and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - -14. Let c(r) = -2 + 4 + r**2 - 10 + 5*r. What is the remainder when f is divided by c(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (29 + (-3865)\/130)*(0 - -24). Which is bigger: g or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 541, 0.2 in ascending order.\nAnswer: -0.01, 0.2, 541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(108) + 1)*-5.\nAnswer: -30*sqrt(3) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8446, 8498, 8616, 8830, 9170, 9666, 10348?\n\"Answer: 5*f**3 + 3*f**2 + 8*f + 8430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6588805 is divided by 1981.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/12 - i**3\/2 - i. Let f be z(6). Let k = f + -11. What is the remainder when 12 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4601 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850095 is divided by 3295?\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-6 + 2)) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 7*w**2 + 7*w + 4. Let z be k(6). Suppose 0 = 5*g - 2*m + 9, m + z = -4*g + 4*m. Which is the closest to g? (a) 1 (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287, -444, -599, -752, -903, -1052, -1199?\nAnswer: -1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.03185?\nAnswer: -0.03185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9 (b) -1\/3 (c) -32 (d) 5 (e) -5611 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3775 + -3712. What is the remainder when 438 is divided by z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*w - 31, -7 + 26 = -4*w - f. Let s be w\/18 + (-110)\/(-90). Solve 18 = -2*z + 2*x, -x + s = -3*z - 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 816 + 0 + (-2 - -4). Suppose -2*b = 2*o - m, -o = 5*b - 2*o - 2045. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -36 (b) 181\/4 (c) 0.045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -826 + 5*n - 392*n**3 + 826.\nAnswer: -392*n**3 + 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 89908 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -16. Suppose 3*x - 200 = -a*x. Calculate the highest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 71456847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69276 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/r**(-19)))\/r)\/r**20*(r**(3\/23)*r*r*r)\/((r*r**20)\/r) assuming r is positive.\nAnswer: r**(-1285\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 724*j\/7 + 31722\/7.\nAnswer: 2*(j + 51)*(j + 311)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three halves of a centimeter?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1216) + -4)*-3)**2.\nAnswer: -576*sqrt(19) + 11091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-2193)\/51)\/215)\/((-1)\/5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 542*o + 547*o + 165 = 0, 4*o + 13 = -2*s - 107 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 211 + -206. Differentiate k + 24*h + 10 - 56 + 17 wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-3))**11\/(r\/r**(2\/3)*r\/(r*r\/(r*r\/(r*(r\/r**(4\/3))\/r)))))**(-36) assuming r is positive.\nAnswer: r**(-1524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/844490)\/(4\/(-10)). Let a = -231643601\/253347 + x. Let j = 930 + a. What is the common denominator of -10\/3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110000011011100010100101 - -101?\nAnswer: 1000110000011011100010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, t: 9}. Give prob of picking 1 p and 2 t.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -17.4, -0.3, -138.48.\nAnswer: -138.48, -23, -17.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 25974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 68 times 206\nAnswer: 14008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 272 + 24?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001894125 to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1843 and 3743.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from uaiwp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p - 14 - 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 9325565.188488\nAnswer: -9325565.388488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*i - 6 = 0, 0 = 5*a - i - 0 - 12. Find u, given that -2*u**2 - 3*u**2 + 2*u**3 + 7*u**a - u**3 - u**5 - 2*u**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1164325*r - 466302 wrt r.\nAnswer: 1164325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2 + 7*o - 23. Let b be d(-5). What are the prime factors of (2 + b)\/2*12\/(-4)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52\/9 + 6. Let k = -26.648 - -0.548. Let u = k + 26. Which is the closest to u? (a) s (b) -0.2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*c - 12 - 5, 3*d - 23 = c. Let r(q) = 7*q**2 + 2. Let l(w) = 8*w**2 - w + 2. Let y(x) = d*r(x) - 6*l(x). Calculate y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5757 - 8479 - n**2 + 955 - n**2.\nAnswer: -2*n**2 - 13281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 29*f - 26*f = -9, 5*q - 279*f = -280*f - 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/116 + 9213\/116. Let f = s - 78. Let x = -1 + 0. Is f smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 785.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 - 65*x**2 + 87*x - 113. Calculate the remainder when h(32) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, z: 7, i: 4}. What is prob of picking 2 i and 1 z?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24523, 98094, 220711, 392374, 613083, 882838, 1201639?\n\"Answer: 24523*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -1695.2?\nAnswer: 1695.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2030 + 106*y**3 - 2030 + 1 + y**3 - 1 + (-2*y**2 - 3 + 3)*(-y + 0*y + 0*y) + y**3 + 2*y**3 - y**3 as q*y + v + a*y**3 + s*y**2 and give a.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4))\/((-3)\/96). Suppose -10 = g - 20. Let z = b - g. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:07 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*l + 4, 2*n + 3 = l + 15. Let w(a) = -5 + a - 2*a + 1 - 13750*a**2. Let b be w(l). What is b rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.26 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.52 - -0.42. Let h = g + -2.9. Which is the second biggest value? (a) 2\/7 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 183476863.\nAnswer: 5\/183476863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174771050 and 4128450.\nAnswer: 524313150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.82 and 285.\nAnswer: 286.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5166 - 2*k**3 - 31177*k + 62310*k - 31178*k wrt k.\nAnswer: -6*k**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32710996)\/7 - ((-536)\/(-56) - 9). Round i to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37000968.\nAnswer: 2, 3, 1541707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 310.5689nm?\nAnswer: 0.0003105689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*((y*y**(-1)\/y)\/y)\/y*y*y)*y**(-25)*((y\/(y\/(y**(-22)\/y)))\/y)\/(y\/(y\/((y*y\/y**(5\/4)*y)\/y))) assuming y is positive.\nAnswer: y**(-195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238 - 261. Sort -0.3, q, 0, -4 in ascending order.\nAnswer: q, -4, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 204 = h, -4*h + 1997 = -5*a + 1220. What is the lowest common multiple of 24 and h?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a + -5b9b?\nAnswer: -5b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -262 in 7, -1\/2, -0.046?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 17966330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.2, 2\/9, -18, 0.28, 1.\nAnswer: -18, 2\/9, 0.28, 1, 12.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p. Let h(c) = 285*c. Determine h(o(r)).\nAnswer: -1140*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(10)\/sqrt(45)) + -2*sqrt(320) + 5.\nAnswer: -13*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*f**3 + f**4 - 6*f**4 + f**2 + f**2 - 3*f**3 + 4*f**3 as a*f**3 + b*f**4 + l + n*f + k*f**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55180 and 313224.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1384351 = 40*z - 35*z, s = -5*z + 1384347. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.2 - 0.8. Let j = 81 - 73. Let p be (-2)\/j*(-1 + 3). Is x greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 72?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence assa when four letters picked without replacement from {s: 3, a: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -0.4605.\nAnswer: 7.8285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2\/4 + 2585*v\/4 + 1932875\/2 = 0. Calculate v.\nAnswer: -658, 1175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 444929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52437 less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + (sqrt(180) + (sqrt(180)*-4 - sqrt(180)) + -2 - -1*(0 + sqrt(180)))*-2)**2 + 2.\nAnswer: 6486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from bvvvbbvvbvvbvbvb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 - (27 - (85 + -126))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -15) + -10 + 16 + -15 + -3 + 130.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {h: 8, b: 4, v: 8}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 + 39*t + 80. Let r be n(-10). Calculate the highest common factor of 324 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 2:07 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152933\/45542 + -3\/3253. Find the common denominator of ((-1)\/(-10) - 0)*-12 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 12:00 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 5. Let q be j(5). Let b = -278 - -281. Find the second derivative of q*u**b + 0*u**3 + 19*u + 10*u**4 - 17*u wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 114*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p. Let g(b) be the third derivative of -b**6\/120 + 5*b**4\/24 - 5*b**2. Let s(k) be the second derivative of g(k). What is t(s(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h**2 - h. Let s(i) be the second derivative of -i**5\/20 - i**4\/6 - i**3\/3 - 3*i**2 - 6*i + 1. What is 2*l(n) - s(n)?\nAnswer: -n**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000167078336 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63181.2345 rounded to the nearest ten?\nAnswer: 63180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011101010100 + 101?\nAnswer: 10011101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -5.3, -2, -1\/2 in increasing order.\nAnswer: -5.3, -3, -2, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*n**3*t*w - 2749*n**3*w**2 - 161*n**3 + 3*n*t*w**2 - 5*n*t*w + 40*t*w**2 wrt w.\nAnswer: -5498*n**3 + 6*n*t + 80*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 99*d + 23. Let y(v) = -98*v - 21. Let q(u) = -5*x(u) - 6*y(u). Let g be q(1). Let h = g - 106. Which is the smallest value? (a) -0.3 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 463335*w - 2402818?\nAnswer: 463335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuoq when four letters picked without replacement from {m: 2, o: 2, q: 2, u: 3, f: 6}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 359 + -510. Let r = -148 - q. Solve 4*y + s = -16, 2*s + r*s + 11 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -22. Is d\/6*(-436)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-33)\/121 - 3351\/(-7326) and 56\/15.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*u - 444077*g + 611184*u - 59 wrt u.\nAnswer: g + 611184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wawwaajwwwa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 472, 1799, 4010, 7105, 11084, 15947, 21694?\n\"Answer: 442*u**2 + u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40512405 (base 6) to base 5.\nAnswer: -244114001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*m + 21. Let o = 5 - m. Let y be o*2\/16*2. Which is the third biggest value? (a) y (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -869, -816, -747, -650, -513, -324, -71?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 6 = -6. Let x = -8 + 10. Calculate the remainder when x is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85680005?\nAnswer: 5, 17136001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 196a29 (base 14) to base 3\nAnswer: 1200211100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16ea (base 16) to base 8\nAnswer: -13352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 100, -27, 107, -12\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99\/28 - 1\/28. Let q = z - 19\/6. Let t = 16\/95 - 2\/57. Put t, q, -3\/8 in ascending order.\nAnswer: -3\/8, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91)\/(-52)*(-888)\/14763.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7847 is divided by 247?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-4)\/(-32)*-2*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 5061*w - 75240.\nAnswer: -3*(w + 15)*(w + 1672)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3519 (b) -1 (c) 0.8 (d) 0.4 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(2\/10 + (10 - 10))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 - -2.2. What is the smallest value in 3, k, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47714 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 26*a**3 - 2*a**2 + 1707*a - 3411. Determine t(2).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 688, 646, 454, 40, -668?\n\"Answer: -12*k**3 - 3*k**2 + 51*k + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbpbgmp. Give prob of picking 1 l and 2 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003127655 to 7 dps.\nAnswer: -0.0000313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by -20?\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*f - 84*f = -w + 12, 0 = -12*w + 48 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2165, -2210, -2285, -2390?\nAnswer: -2525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -12. Suppose 3*a = -5*c - 2, -a + 3*c + 11 - 7 = 0. Let r = -0.9 - 3.1. What is the closest to l in a, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 111*u - 35. Let b be (-12)\/4*(-1)\/1. Let l be 0\/b + (1 - 1) + -15. Let p be o(l). What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*f - 331 + 331)*(0 - 2*f + 0).\nAnswer: 70*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2297, -2229, -2163, -2099?\n\"Answer: -v**2 + 71*v - 2367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**7\/42 + 5*r**6\/12 + 11*r**5\/4 + 25*r**4\/3 + 40*r**3\/3 + 7*r**2. Factor f(j).\nAnswer: 5*(j + 1)**2*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 4*h**2 + 3*h**2)*((5*h - 2*h - 2*h)*(3 - 3 + 2) - 4*h + h + 2*h - 2*h - 4 + 4 + (1 + 2 - 2)*(-3 + 3 - 33*h)).\nAnswer: 68*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -42, -63, -84, -105, -126?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 4 = -5*l. Let i = l + 16. What is the highest common divisor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46.2 and -73.4?\nAnswer: -3391.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 15 + 11 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -20, -19, 4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyhb when four letters picked without replacement from hbdybki?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/12 + g**3\/2 + g**2 - 3*g. Let h be f(-3). What is the derivative of 1 + 1 - 3*p**h - 2 + 2 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 7 - 1033*d + 7.\nAnswer: -d**2 - 1033*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*x**2)*(-1 + 0 + 3) + 5*x**2 - x**2 - 3*x**2 + (40 + x - 40)*(2*x - x - 3*x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 40e + -17?\nAnswer: 3f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 391*d - 3564. What is the remainder when 812 is divided by y(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-10))**(-6\/7) assuming r is positive.\nAnswer: r**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167\/4 - -85\/2. What is the nearest to 0 in h, -11, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535924?\nAnswer: 2, 13, 29537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146810?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 18.254.\nAnswer: 73.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 139880.3 rounded to the nearest one hundred?\nAnswer: 139900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -927*c - 149174. Give r(-161).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 327750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -25*j + 17*j + 31 + 2*j**2 - 140. Is 17 a factor of h(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 3.93 (c) -32859 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 42*b - 1427. Determine d(34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 = 2*y. Suppose 3*j - 23 = -y. Find the third derivative of 2*b + b**2 + 2*b**j - 5*b**6 - 2*b wrt b.\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4, -5*o - 5*n + 552 = -8*n. Calculate the highest common factor of 20 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g - 1 + 3*g**2 + 8 - 3 - 4*g**2 + 8*g. Let m(h) = 3*h + 3. Determine 3*k(v) - 4*m(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43 - 152 - 1056*h**3 - 120 + 52 - 44 wrt h.\nAnswer: -3168*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -4, 2, 965, -2, -5, 5 in increasing order.\nAnswer: -31, -5, -4, -2, 2, 5, 965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367461?\nAnswer: 3, 40829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 249 - 236. Suppose -5*f + 43 = 3*h, 2*h + 18 = 2*f + 4*h. What is the remainder when q is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.2. Let b = -13.5 + 12. Let u = -4.5 - b. What is the second biggest value in 3, u, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -19*c**3\/6 - c**2 - 3*c - 30. Let m(s) = -1518*s - 161. Let o(z) = -2*m(z) + 161*r(z). Let a(n) = -4*n. Calculate a(o(q)).\nAnswer: 92*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {f: 3, s: 2, g: 1, j: 7, n: 5}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2124 + 18 = 153*h. What is the least common multiple of 22 and h?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 17 + -9 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 6.5, -39, 17?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.7 + 3.7. Which is the third smallest value? (a) r (b) -1 (c) 0.01 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**4 + 95833*x**3 + 40*x**2 + 5690 wrt x?\nAnswer: -72*x + 574998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -8 + 1. Suppose -d*k - 60 = -11*k. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 3. Let k be c(0). Suppose 0 = 2*j - 3*t - 14, j - 2 = 2*t + k. Calculate the remainder when j is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t + 46. Let b be i(6). Solve 0 = -q - 1 - 1, -b = -4*o - q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -20. What is the remainder when (-32)\/(-2) - 8\/2 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i + 6, -2*i = -4*o - 2. Let x = o + 10. Find the first derivative of -23 + x - 2*d**3 + 17 wrt d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90.7 - 92. Round b to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - ((2 + 1 - (-46 - -62)) + 8)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 0*s - 1\/12*s**4 - s**2 + 0*s**3 + 0. Let m(r) = -8*r. Let h(g) = -7*g. Let c(w) = 6*h(w) - 5*m(w). Calculate o(c(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0.1 (b) -3\/17 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*b = b + 19, 4 = 4*b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*i - 8*i - 22*i + 6400*i**3 - 26*i in the form k*i**3 + n + w*i + t*i**2 and give k.\nAnswer: 6400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4 = -5*l + 1, -3*l - 14 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhd when three letters picked without replacement from hddh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c = -10. Suppose -2*s - 3*q - q = -6, 2*s = -5*q + 11. Let m = 13 + s. Calculate the lowest common multiple of m and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93567608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y - 6. Let d be h(6). Let z = d - -105. Suppose j + z = 4*j. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 - (-7 - (-11 - 5))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 9. Let h(v) = 9*v - 18. Let c be (15\/4)\/((-15)\/(-40)) - 6\/2. Calculate c*q(y) - 3*h(y).\nAnswer: y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 - 2 = 86*r - 2*x - 22, 2*r - 96 = -5*x - 85 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6285290235.\nAnswer: 3, 5, 7, 17, 1039, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1842 + -0.00444. Let v = 0.23 + -0.05. Let p = x - v. What is p rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 0*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106425420953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w**2 + w. Let x(q) = 9*q**2. Determine x(t(g)).\nAnswer: 225*g**4 - 90*g**3 + 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkcgohow. What is prob of picking 1 o and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1639225*d - 4191171.\nAnswer: 1639225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16040 - 16045. Sort 15, -4, r, 13 in increasing order.\nAnswer: r, -4, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 2*b**2 + 5*b**2 + (2 + 2*b - 2)*(-1 + 2*b + 1) - b**2 + 2*b**2 + 0*b**2)*(527*b + 1524 - 1524).\nAnswer: 3689*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 8*q - 3. Let y be k(5). Let v = -30 + y. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/10 + 48\/10. Solve r - 20 = -p*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*(-2 + sqrt(2) - sqrt(2)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1 (b) -78 (c) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 34 = -5*z + y, 0 = 4*z - 5*y - 17. Let b(l) = -l**2 - 6*l - 6. Let w be b(-4). What is the highest common divisor of w and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 + 254 = -10*n. Suppose 7*q = 4*q - 171. Let w = n - q. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -13 + -2*(-3)\/(-3). Let l = j + 29. What is the remainder when 360\/14 - (-2)\/7 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4 = -5*n, -b = -0*n - 4*n - 10. Suppose -4*a - b = 6. Is (-1)\/a*1746\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 7*s - 47. Let o be z(11). Let g(c) = -6*c - 11. Let f be g(o). Find the first derivative of -3 + f*r**4 + 10*r**4 - 4*r**4 - 2 wrt r.\nAnswer: 52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -79\/2 (b) -3 (c) -4 (d) -8 (e) -380 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.2108978 + -0.0109578. Let m = 1.2 - -3. Let n = o - m. What is n rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, 14, -5 in descending order.\nAnswer: 14, -0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/27 in 0.2, -11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2496 and 3343616.\nAnswer: 130401024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20536013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 11*q + 24. Let x(c) = c**2 + 7*c + 7. Calculate x(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 3*o**2 - 4*o - 3. Let r be l(-2). Let x be r\/(3\/(-54)) - 0. Is (132\/x)\/((-1)\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - 16. Let c = 145 + n. Let d = c + -58. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(0*n + 2*n - 4*n)*(-6 - 8 + 2).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -32.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5478 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231032 + -2320?\nAnswer: 222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3933 and -4502.82389.\nAnswer: -569.82389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 595 - 1635. Let j be (x\/(-6))\/((-14)\/9345). Round j to the nearest 1000.\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25069, -25071, -25073, -25075, -25077?\nAnswer: -25079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/3 and 63\/(-56)*1\/(-66)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 60*w**3 + 9*w**2 - 15*w + 7. Determine i(1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -89*r**4\/4 + 45*r + 8. Differentiate x(u) with respect to u.\nAnswer: -267*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, 34, 21, -72, -239, -474, -771?\n\"Answer: m**3 - 49*m**2 + 213*m - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**5 + 6*b**4 + 6*b**2 + 6. Let v(n) = n**5 + 7*n**4 + 6*n**2 + 7. Let u(o) = -7*m(o) + 6*v(o). Find the third derivative of u(f) wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 6:22 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4, 348, -4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*a + l + 2*l, -3*a = l - 7. Let j = 18 + -14. Suppose j*z + 26 = 3*m, 2*m - 29 = -z + 6*z. Put z, a, 4 in descending order.\nAnswer: 4, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -12*l + 5*l**2 + 9\/4*l**5 + 25\/12*l**4 - 15\/2*l**3 - 7\/6*l**6 + 0. What is q in b(q) = 0?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 7 - 15)*(-14 + 14 - z + 2 - 2 - z + (-2 + 1 + 0)*(z + 0*z + z) - z + 2 - 2 - 1 + 1 - z).\nAnswer: 66*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*z + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.022 take away 0.3?\nAnswer: -2.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 s, and 1 f when four letters picked without replacement from sfzffswfwzjwfzfz?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1666810700 to the nearest one million.\nAnswer: 1667000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6040*q - 28553. Calculate i(-5).\nAnswer: 1647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.186 + 0.606. Let m = d + -0.791397. Round m to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + -15 - (-22 - (31 - 46))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 449 and 14?\nAnswer: 6286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1504 - -27?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54880 and 33936224?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*u + 246, 2*y = 7*y - 4*u - 649. What is the remainder when y is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -11*d - 9. Let a(l) = -16*l - 13. Suppose 41*m - 105 = 56*m. What is m*b(n) + 5*a(n)?\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 77756027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 2, -9\/8, 845, 1, 0?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.543 - -0.241. Let j = h - 5.674. Let w = -0.11 + j. What is the nearest to 0 in 0.1, w, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63077947?\nAnswer: 43, 1466929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*m + 5 = -g, 5*g = m + 46. Let p = g - 7. Suppose 4*n + 17406 = i + 3807, -p*n + i - 6799 = 0. What is n rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 38 (b) 4 (c) -4\/3 (d) 2\/39 (e) -86\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:04 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -331947035+-0.459605\nAnswer: -331947035.459605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 304887 to the power of 1\/2, to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144205 is divided by 140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1657 divided by 5.\nAnswer: 1657\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -4. Let p be o\/(-9) + 40\/6. Let g be 3\/(0 + 1\/p). Solve s + 2 = -2, -v - 5*s - g = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 745, 1257, 2111, 3307, 4845, 6725, 8947?\nAnswer: 11511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3001 + -2315. Is 108 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33*-0.5.\nAnswer: 0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299 - 243 - 161*y + 161*y - y**2 - 243 + 785.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 39*w - 5*u = -96, 0 = 4*w + 3*u - 96. Let z = 82 + -10. What is the highest common factor of z and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z = 37*z. Suppose z = 7*k - 21*k + 40586. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**5\/20 - u**4\/4 - u**3\/2 + u**2\/2 + u. What is the least common multiple of 22 and s(-3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w\/w**(-2\/41))\/w)\/w)*w**(2\/7)*w*w\/w**0*w\/w**(2\/31))**(-23) assuming w is positive.\nAnswer: w**(-1058437\/8897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 18*s + 40. Calculate h(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(3) - (2 + (sqrt(3) - sqrt(147)))).\nAnswer: -4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = -4*h. Sort h, -2, 1 in decreasing order.\nAnswer: 1, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4151*z**3 - 63*z - 42. Let m(l) = 415*l**3 - 6*l - 4. Calculate -2*i(j) + 21*m(j).\nAnswer: 413*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6300453 to the nearest integer?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/198 and 13\/144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:29 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1728510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 1067223*a - 3201642.\nAnswer: -3*(a - 355738)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -14*n + 39. Suppose -20 = 4*r + 8. Let t = 15 + r. Solve -n*z - t - 17 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8406\/79 + 1814780\/17143. Let z = p - -8\/31. Which is the nearest to z? (a) -0.092 (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 11:50 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -492 or -495?\nAnswer: -492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-5)\/((-50)\/(-15)) + 7. Suppose -4*g + t = 0, -5*i = -2*g - 0*g - 3. Let v = 18 + -2. Calculate the greatest common divisor of v and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j. Let f(q) be the first derivative of 3*q**5\/10 + 5*q**2 - 15. Let h(o) be the second derivative of f(o). What is h(n(s))?\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -1230, -2745, -4838, -7491, -10686, -14405, -18630?\nAnswer: -23343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 140, 153, 166, 179?\n\"Answer: 13*l + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2270748827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 138\/85 or 1?\nAnswer: 138\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 217\/217264?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4341, 4296, 4251, 4206, 4161?\nAnswer: 4116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1174*c**2*j*z**2 + c*j*z**2 - 100*c + 146842*j*z**2 wrt c.\nAnswer: 2348*c*j*z**2 + j*z**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10012020111200 (base 3) to base 4\nAnswer: -12132123021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 22 + 155)*(-2*g + 0*g + 0*g).\nAnswer: -242*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 6 - (1 + 0). Let d = 9 - 7. Is p > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 11:08 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7 + k - 23 + 7. Let c be z(11). Is 4\/8 - 6678\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 3, -2, -3\/59.\nAnswer: -2, -3\/59, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.085253 + -0.07653. What is h rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17660 and 6538615?\nAnswer: 26154460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 21. Let z(s) be the first derivative of v*s + 1\/2*s**2 - 3. Let f(l) = l**2. Calculate f(z(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 63824956*a**3 + 191474862*a**2 - 191474860*a + 63824953.\nAnswer: (a - 63824953)*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 82065 times 13077\nAnswer: 1073164005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 5112 = -8316. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**2. Let z(y) = -y**2. Let f(u) = k(u) - 4*z(u). Let p(g) = 522*g**2 + 492*g**2 - 1940*g**2 + 701*g**2. What is p(f(q))?\nAnswer: -900*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**3\/((c\/(c\/c**(-3)))\/c**(-4)))**(-2\/27) assuming c is positive.\nAnswer: c**(-10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*l - 6*l + 28514 = 185*l + 4*l for l.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 4\/7, 0.07?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 + -94. Let y be (-8)\/u + ((-168)\/(-20) - -2). Calculate the greatest common divisor of 40 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**4 - 5*j**3 - 3*j**2 + 17*j - 10 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(12) + 1 + 5)**2.\nAnswer: 48*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-56) + (-117)\/(-7). Suppose 5*a + 7 - i = 0. What is the second derivative of -a*s**2 - 3*s + s + 4*s**2 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 6. Let q = 11.4 - 1.4. Let p = q - 5. Put p, f, -0.2 in ascending order.\nAnswer: -0.2, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 87.083 and -1743302?\nAnswer: 1743389.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -134185a (base 13) to base 12\nAnswer: -2042138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 22585 + 184\/23. Suppose 110*x = 97*x + u. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33151, -33389, -33605, -33787, -33923?\n\"Answer: 2*x**3 - x**2 - 249*x - 32903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23333671?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 862\/13, 360\/73?\nAnswer: 360\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-6))\/((-2)\/(-3)). Let m be (-4)\/(-2) + 9\/(-5). Which is the second smallest value? (a) 0 (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -d - 6, n + 1106*d - 1107*d - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 44, 16, 5.\nAnswer: 1, 2, 5, 16, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**18*t**(-3) assuming t is positive.\nAnswer: t**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l = -5*y + 22, 0 = -5*y - 5. Let m = 542 + -310. Let g = l + m. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577 = 3*w - n, -3*w + 5*n + 97 = -496. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6219?\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -1\/4, -5, -7, -1, 7.2, 0 in increasing order.\nAnswer: -7, -5, -1, -1\/4, 0, 7.2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 567 divide 1300766071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/146692 and 3\/1089712?\nAnswer: 7627984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-15) + 48\/9. Solve 4*d - 3 = z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 44*c + 152. Calculate g(-38).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -337*i + 1466. Give a(4).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 16*q**2 + 32*q - 63. Let h be g(14). Let l(p) = -1535*p - 58. Is l(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 90, 108, 136, 180, 246, 340, 468, 636?\n\"Answer: s**3 - s**2 + 14*s + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 8*j**2 + 10. Let s be g(-8). Suppose -5*p + 5*r = -50, -7*r + 2*r = 2*p - 41. Let z = p - s. Solve -3*q - z - 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**2*k**3*x + 42*a**2*k**2*x + 2*a**2 - 3*a*k**3*x - 2*a*k**2*x - a*x - 685*k**4*x + 5*k*x wrt k?\nAnswer: 30*a**2*x - 18*a*x - 16440*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 238699?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14b1a7 (base 13) to base 7.\nAnswer: 4222624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5217967.7 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1664\nAnswer: 1\/1664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-5168)\/(-4811408))\/(6\/(-38))\nAnswer: -1\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - q + q)*(7 - 4*q**2 - 7 + (2*q - 1 + 1)*(-1 + q + 1)).\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 24 = -36. Suppose 3*u + 9 - h = 0. Suppose u*t + 13 = 25. What is the greatest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (6\/(-132*17\/(-340)))\/(1\/11) and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 156.6, 2, -2?\nAnswer: 156.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 5, -4, -0.05, -0.13, 18?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 12 - 8 + 4*h**2.\nAnswer: 4*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((13 - 13) + -11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(684) - sqrt(684))*2 + sqrt(684) + sqrt(684) + 0 + sqrt(684) + 0 - (4 + -4 + 4 + sqrt(684)))**2.\nAnswer: -192*sqrt(19) + 10960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 4. Let b = 9 - d. Calculate the smallest common multiple of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2366 = -w, 254 + 232 = z - 3*w. Let c = 834 - z. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -286 - -3455b?\nAnswer: 342a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/5 + 8*r**2\/5 - 22*r\/5 - 12 = 0.\nAnswer: -5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 9. Solve -3*i + 15 = -3*y - p*y, i + 2*y = -7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 - 1. Suppose 0 = -5*u + 5*g - 130, u + 33 - 7 = 5*g. Let j = 27 + u. Determine v(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.383*0.1\nAnswer: -0.0383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-20)\/(-350)*1099*25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -12, -r - 9 = 3*j - 95. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1550 = 264*v - 298 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/32*5\/15*-3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -29816.\nAnswer: 89448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -111.16\nAnswer: -11.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 597075 and 10545?\nAnswer: 22091775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) 1\/7 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -6. Let j = -952.66 + 952.56. Which is the closest to j? (a) g (b) -5\/2 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325710 is divided by 64876.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*u - 695*u**2 + 180*u.\nAnswer: -695*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wls when three letters picked without replacement from tggsmslwl.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g - 2. Let w(n) = 7*n + 3 + n - n. Let c = 357 - 355. Suppose c*b + l + 25 - 11 = 0, 0 = -5*b - 3*l - 37. What is b*x(t) - 3*w(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -235, -348, -461, -574?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -1803681.379007.\nAnswer: -1803682.379007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/7*(-14)\/21*3\/40.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-2*2)\/(sqrt(30)\/(sqrt(5)*2 + sqrt(5))) - (sqrt(165)\/sqrt(5)*-3)\/sqrt(11)*1.\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2017632 and 1092884.\nAnswer: 26229216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 26 + 51. What is the greatest common divisor of 10 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*3\/((-27)\/(-6)). Let m be 6\/4 - (-1)\/g. Suppose l = -4*o - m + 22, -l + o + 6 = 0. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -16*h**3 - 3*h**2 - 2*h. Let d be a(-1). Let k be (-1)\/((-3)\/(-222)*2). Let z = 112 + k. Calculate the greatest common divisor of z and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 12*y + 20. Let k be n(-8). Let t be (k\/56)\/((-2)\/21*3). Which is the fourth biggest value? (a) -1\/4 (b) t (c) -2 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d = -54*d - 357*d - 1185 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 2*y**4 - 210*y**2. Let l(c) = 6*c. Determine -33*l(s) + 4*m(s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2161*x + 2*x**2 - 2164*x - 5*x**2.\nAnswer: -3*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2064 + 2061. What is the nearest to -1\/4 in 1\/729, 2\/7, s?\nAnswer: 1\/729","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f**4 + 1 - 3*f - f - 10*f**4 + 1 in the form p + o*f**4 + j*f**2 + s*f**3 + c*f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 23. What is the third derivative of -387*p**2 + 385*p**q + 34*p - 45*p**3 + p**3 wrt p?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*f**3 - 230*f**3 + 72*f**3.\nAnswer: -71*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 - 6641571*p\/2 + 14703488449347\/4.\nAnswer: 3*(p - 2213857)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + -213121321?\nAnswer: -213122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 6706 + -6466. Calculate the highest common factor of 1380 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/112183032 and -115\/216.\nAnswer: 1009647288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5311605570 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-3))\/(14\/(-21)). Is (g\/3)\/((-5)\/(-11235)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1536 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 3*o - 3. Let p be j(-2). Let z(u) = -u. Let v(h) = 3*h + 1. Let n(s) = 2*s + 3*s - 4*s. Let w(y) = -4*n(y) + v(y). Calculate p*z(q) - w(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - -30.36651889?\nAnswer: 66.36651889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - (-1*sqrt(544) + sqrt(544))) + sqrt(34))\/(sqrt(2)*-2*1).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 486*k - 491. List the prime factors of h(23).\nAnswer: 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 5*v + 9. What is the units digit of l(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 - 2*i + 1. Let d = -4 - -5. Let u be s(d). Solve 0 = -0*j - u*j + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.73747ng in milligrams?\nAnswer: 0.00004373747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 94, 13986, -3, -5 in decreasing order.\nAnswer: 13986, 94, 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 84.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 - 4*c - 1. Let g be s(2). Let n be 21\/(-18) - g\/6. Which is bigger: -3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w + 5*w**2)*(1 + 1 + 0)*(-2 + w + 2)*(4*w - 1 + 1).\nAnswer: 40*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**3\/6 - 3*m**2\/2 + 3*m. Let t be l(7). What is the units digit of (2 - 10\/t)*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, k: 2, v: 7}. Give prob of sequence sss.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3014 = 25*h. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/4 - (-38)\/(-4). Let w be ((4 + 2)\/n)\/((-2)\/6). Let x = 44 + -39. Do w and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -221.485 + 0.485. Let l = -217 - r. What is the third biggest value in -1, l, -2\/129, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 18*c**2 + 39. Let d(t) = 3*t**2 + 151*t - 2. Give d(f(v)).\nAnswer: 972*v**4 + 6930*v**2 + 10450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y + 3*y - 4*y + 2*y to the form k*y + u and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*h = -82*h - 98. Suppose 3*j = 4*j - 2. Suppose -j*f = 5*t - 16, -t + 3 = -5*f + 16. Which is the third biggest value? (a) f (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152179861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2 + 2*g - 5*g - 2. Let t be h(-3). Are 2 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/4)\/((-7)\/(-28)). Suppose -a = -14 - 3. Solve -2*g + d = 3*g + a, -2*d + h = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 17 = -3*w - i, 2*i = 10. Let v(g) = -3*g + w + 4*g - 13 - 3*g**2 + 2*g. Determine v(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38750 + -38741. Solve -3*b + 55 = -5*j, -3*b = -205*j + 208*j + c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, s: 8, o: 5}. What is prob of sequence osxs?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from qfffqffddqdddfq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s + 9. Let w(t) be the third derivative of -t**4\/4 + 7*t**3\/3 - t**2. Let g(x) = 8*d(x) - 5*w(x). What is the units digit of g(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2656 + 80*o - 2656)*(5*o - 52*o + 5*o - 1) in the form k*o**2 + i*o + w and give k.\nAnswer: -3360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 divided by -9?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1202120.\nAnswer: 2, 5, 41, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, -0.5, 4\/3, 2835.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4724, -3824, -2332, -254, 2404, 5636, 9436?\nAnswer: 13798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2. Let k(t) = t**2 - 8*t + 2. Let o be k(8). Let b(c) be the first derivative of 5*c**2 - c**2 - c**2 + 2 - 4*c**o. Determine s(b(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148 divided by 17.\nAnswer: 148\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14*3\/(-6) - -7054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -7*j**3\/6 + 952*j + 10. Let s(x) = -x**2 - 3*x**2 + 0*x**2. Give s(o(g)).\nAnswer: -196*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 6*l - 4*l = 0, -4*l - 4 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1.1, -1, -0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 251727 times 8\nAnswer: 2013816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/2 - -1*33. Suppose 4*l + p - o = -p, 3*l + 3*p - 27 = 0. Find the third derivative of -c**2 + 3*c**6 + 0*c**l + 3*c**2 wrt c.\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 16*h**2 + 29*h - 87. Let d be u(-18). Suppose 34*c = d*c - 2945. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 17 - 31 - 6535*w + 8 in the form c*w + n and give c.\nAnswer: -6535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/6 (b) 0.5 (c) -3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 0*x**2 + 0 + 2*x + 3\/2*x**3. Let y(v) = -v + 14. Let o(h) = h - 7. Let r(g) = 2*o(g) + y(g). Give r(k(m)).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96161552 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 0. Let i = 0 - y. Let b be 6 + -15*(-20)\/(-50). Solve i*m + b*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from ouodocccoch.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15.4? (a) -2\/3 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/((sqrt(27) + sqrt(3))*-3) + -3.\nAnswer: -3 - sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -48.8. Let h = g - 4.4. Let o = -1 - 0. Which is the nearest to -0.2? (a) h (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - o. Let w = 14 + -12. Let a be ((-51)\/34)\/(w\/(-4)). Let s = -29 + 30. Let j(m) = m**2 + 3*m. Give a*q(r) + s*j(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.38 + 0.38. Sort 3, -3, c in ascending order.\nAnswer: -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 17328 + 18057*g - 3167 - 18059*g as a*g + p and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 215 - 216. Which is smaller: o or -3\/131?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8700642011.\nAnswer: 79, 110134709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 9. Which is the second biggest value? (a) q (b) 11 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-18)\/(7 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 + a + 1. Let h be v(0). Suppose -2*p - 5*n - 1 = 0, -3*p + h + 17 = n. Let b be 6\/9 + p\/3. Solve 4*u = -4, b*y + 0*u + 5*u + 8 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1) + -14 - ((1 - -23) + -17).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -15*x + 862. Give h(58).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 289, -1, 8, 0.\nAnswer: -1, 0, 8, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**5 - 3*r**4 - 18*r**3 - 4*r**2 + 24*r = 0.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n = -n + 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 79 - 2*r - 76)*(2*r - r + r).\nAnswer: -2*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17236, -34455, -51658, -68845, -86016?\nAnswer: -103171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 136 - 1423 = -3*k, 5*k + 2*z = 2117. What are the prime factors of k?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3047a (base 16) to base 14\nAnswer: -520d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -139, -229, -355, -517, -715?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2180146699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -131345.8 and 4?\nAnswer: 131349.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*f - 55*f + 28*f)*(f**3 - 2*f**3 + 0*f**3)*(4*f + 5*f - 8*f)*(6 - 2 + 1).\nAnswer: -25*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 82607, 165211, 247815, 330419, 413023, 495627?\n\"Answer: 82604*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -107615+6124\nAnswer: -101491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 + r - 1. Let f be h(1). Let j = 16 + -18. Let t be (-1)\/(j\/(-16)*f). Put -4, -5, t in decreasing order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(130) - sqrt(130)*-1)*1)\/(-1*sqrt(490)))**2 + ((-1*sqrt(3900))\/(sqrt(3) - sqrt(300)*1)*-4)**2.\nAnswer: 1043257\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(16) - (sqrt(1024) + sqrt(1024)*-1 + sqrt(1024) + sqrt(1024))))\/(-6*(sqrt(8) + sqrt(128)) - (-1*sqrt(40))\/sqrt(5)))**2 + 3.\nAnswer: 18723\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*i - 2*i + 0*i + i - 2 + 2*i + 2 + (-3 + 2 + 3)*(4 - 2*i - 4) + 3*i - 2*i + i + 3*i - 4*i - 3*i)*(4*i - 2*i + 0*i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 57?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.04143g in kilograms?\nAnswer: 0.00404143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 4*c. What is t(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 611\/60489*9\/(-3)*2. Which is the fifth biggest value? (a) t (b) -0.3 (c) 3 (d) -2 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/210 and -109\/44142.\nAnswer: 220710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/7, 0, 826, 14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 + 0*n**2 + 4*n**2 + 1. Let j be d(0). Differentiate 0*x + 3*x + j - 5*x with respect to x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w**3 - 83*w**3 + 30*w**3 + 56*w**3.\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 774, 565, 356?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjcbkvbc. Give prob of sequence jr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 43356625?\nAnswer: -43356621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + 135. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 3*d - d + 0*d - 1 - 11*d**3. Let f be 0 - (3 - (-4)\/(-1)). What is n(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**2. Let y(z) be the second derivative of z**4 - 21*z**2 + 4*z + 16. Let g(i) be the first derivative of y(i). Give g(j(f)).\nAnswer: 192*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 165\/154*13\/((-715)\/(-33))?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187*f**4 - 2*f + 740*f**4 + f**3 + 56*f**4 - 249*f**4 + 1 to the form g + p*f**4 + k*f + n*f**3 + a*f**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3857*i + 7321 with respect to i.\nAnswer: 3857","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 7:56 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 + 11.21. Let w = -0.75 + s. Let g = w - 7.7. Round g to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -4 + (-4)\/(-1). Suppose -y*u + 6 = x, -3*x - x + u = -42. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 12 = 8*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 733511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -367871*i**2*x**3 + 3*i**2*x + 23258*i*x**2 wrt x?\nAnswer: -2207226*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 766836 = 1229*n + 928*n + 6972*n for n.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16443808 is divided by 812.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -103 + 3b?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 5\/6, -3, -2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 7*n**2 - 31*n - 169. Let s be q(-6). Solve -s*o = -47*o + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 + 17*o + 186. Calculate the remainder when r(-27) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -14*i**4 + i**3 - 2*i + 54. What is the third derivative of s(o) wrt o?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 811 - 956. Sort i, -1, -4.\nAnswer: i, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (472\/6)\/(121\/2904) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*2\/((-8)\/28). Suppose g*w - 300 = 4*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1171\/9 + -130. Let k = 11\/45 - i. Which is the second biggest value? (a) -0.1 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from {s: 3, m: 1, t: 2, v: 5, r: 3, u: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -3*k**4\/8 + 122*k**2. Calculate w(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**3 + l**2 + l. Let r(w) = -102*w**3 - 36*w**2 - 36*w. What is 36*k(f) + r(f)?\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -558*a - 47460. Give p(-85).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-1) - (-2)\/(-1). Suppose x = -3*b + 4*o + 10, o = b - 1 - 2. What is the least common multiple of b and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*y + 30, -5 + 2 = -y - 3*w. Let d(f) = -6*f + 12. Let a be d(y). Round a to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiieiiiieiieiiiiie. Give prob of sequence eee.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2273 + 2297. Calculate the greatest common factor of n and 768.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 289, 571, 845, 1105, 1345, 1559, 1741?\n\"Answer: -i**3 + 2*i**2 + 283*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 239.9 + -240. What is the fourth smallest value in 0.3, -2\/3, 2\/3, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1) - (7 - 3 - 56). What is the units digit of f*(8 + 2 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - l**2 + l + 5. Let i be u(0). Let s = 3\/18886 + -4723\/9443. What is the third biggest value in 0, 0.1, s, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -17004862\nAnswer: -1\/17004862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 4, 5, -32 in increasing order.\nAnswer: -32, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-15\/7)*p**(-2\/7)*p**(-5) assuming p is positive.\nAnswer: p**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2456604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 5:24 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0 + 16\/3*j**3 - 34*j**2 + 1\/60*j**6 + 0*j - 4\/15*j**5 + 0*j**4. Find the first derivative of a(v) wrt v.\nAnswer: 6*v**2 - 32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 1953.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - 2.62. Let l = q + 0.052. What is l rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 278388?\nAnswer: 278388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 800\/(-240)*(-12)\/5 - 3. Solve -i + 2*y = -g, y + 10 = 19*i - 17*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246\/(-30) - (-4)\/(-20) - -7.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/6 + 1898*q. Let c(t) = 22*t. Let y(f) = -f. Let x(d) = c(d) + y(d). Determine k(x(l)).\nAnswer: -882*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 7*o**2 + 2*o + 2. Let f be j(7). Let w = -13 + f. Let u = 11 - w. Solve -u = -5*p + p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -12. Let m(p) = -1 - 2*p**2 + 3*p**2 + 0*p**o. Let z be m(1). Solve z = -4*b - 12, 0*r + r + 2*b + 1 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-52)\/(-10) - 6*7\/210. Suppose 4*w = 3*k - 2793, -t*w + 960 + 879 = 2*k. Suppose -n - k = -3*v, 316 = v + n + n. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9211805 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 2*q - 9. Let b be c(0). Let m(y) = y**2 + 10*y + 18. Is 2 a factor of m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 + 20 - 5 + 4*q**2 in the form u*q**2 + g + t*q and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*g - 120. Let b = -17 + g. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*x + 1043942*i**3 - 2*i*x + 3*i + 4267*x + 15 wrt i.\nAnswer: 6*i*x + 6263652*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/4 + 3*f**3 + 5*f**2 = 0 for f.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1134)\/36*66\/(-99)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**3 - d**2 - 2*d - 1. Let q(v) = 17*v**3 + 4*v**2 + 9*v + 4. Let y(o) = o**2 + 2*o + 2. Let a be y(-2). Determine a*q(k) + 9*i(k).\nAnswer: -2*k**3 - k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 110*u + 427. Let t be j(-7). Let w = 347 + t. Solve -4*f + 0*f = w*c - 24, 2*f - c = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, g: 2, f: 1, x: 1, t: 3, a: 3}. What is prob of picking 2 m, 1 g, and 1 t?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 10 + (24 + -4 - 22)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let o(h) be the third derivative of 0*h + 0*h**3 + 0 + 1\/24*h**4 - 4*h**2. Determine n(o(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 242.\nAnswer: -1\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -54*(3*2\/(-36))\/(40\/16)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233531447, 233531448, 233531449?\nAnswer: 233531450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -4)\/(2 + -4). Suppose z = y - 0*y - 5. What is the units digit of ((-37)\/(-2))\/(y\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j = -28. Let f(t) = -4 + 4*t - t + 0. Is f(j) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1779152 divided by 3?\nAnswer: -1779152\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 9. Let r be -20*(1 + (-2)\/10). Let d be h(r). Let v(b) = 5*b + 17. Let o be v(-5). Is d greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/2*((-10)\/5)\/(-2). Suppose -2*k = m + 734 + 1826, r = k - m + 1286. Round k to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -110 + 109 + 5*d**3 - 1 + 56*d - 12*d + 2*d**4 as k*d**4 + g + p*d**2 + z*d**3 + a*d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142549032?\nAnswer: 2, 61, 97, 24137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 5*o + 48 - 53, 0 = -8*u + 5*o - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**(-43)\/(t**(-6)\/(t\/t**(-5\/3)))*t**6\/t**(-8)*(t**(2\/7)\/t)**33 assuming t is positive.\nAnswer: t**(865\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7480 is divided by 4745?\nAnswer: 2735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 470910, 926267, 1381612, 1836939, 2292242, 2747515, 3202752?\n\"Answer: -x**3 + 455364*x + 15547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202121211210 - 1221?\nAnswer: 202121202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 9*x - 2. Let a(z) = 3 - 8*z - 3*z**2 - z + 3*z + 12*z + 11*z. Determine 4*a(i) + 7*o(i).\nAnswer: 2*i**2 + 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 10*b - 11*b + 24*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/8)\/x**(-1\/4)*(x**(-7\/2)*x)\/(x\/(x**(-6)*x)) assuming x is positive.\nAnswer: x**(-65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 3 - 5*c + 10 + 1.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 52987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000151031207 rounded to seven decimal places?\nAnswer: -0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 7*o - 4. Calculate r(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*h + 46 = h, 43 = 2*l - 5*h. Suppose l = 4*q - 23. Solve 4*d = -5*p + 8, 4*p = -d + 5 + q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 22146231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5174 is divided by 349?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 14*n**2 + 5*n - 9. Calculate i(13).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88910073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 211924839 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 231987, 927961, 2087919, 3711861?\n\"Answer: 231992*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 1:08 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 6*x**2 + 3*x + 2. Let q be u(6). Suppose q = g - 4. Solve -4*k + 2*y - 22 = -4, 4*k - 4*y = -g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/((-5)\/75)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**7\/69 + 37*p**6\/345 - 33*p**5\/46 - 85*p**4\/138 + 158*p**3\/69 + 48*p**2\/23 - 600*p. Find d, given that j(d) = 0.\nAnswer: -8, -1, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3)\/s)**15*(s**(5\/3)\/s)**43 assuming s is positive.\nAnswer: s**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5260 and 26108799?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (3 + 3)) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -21*s + 7. Let c(i) = i**3 - 5*i**2 + i - 8. Let g be c(5). List the prime factors of o(g).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l + 2*l + (3 + 2 - 1)*(2 - 4*l - 2).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhnhmvvmnlvivm. What is prob of sequence ln?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tww when three letters picked without replacement from {l: 3, t: 1, w: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(80)*1 + -3)*-4 + ((sqrt(80) + sqrt(80)*-4)*-3 - sqrt(80))*3 + 5)**2.\nAnswer: 2400*sqrt(5) + 32225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -5\/2412, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 14, -39, -148, -331?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9*q - 2\/9*q**2 - 8\/9.\nAnswer: -2*(q - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3609211292 - 3609210922.99998876. Let o = 369 - t. What is o rounded to 7 dps?\nAnswer: -0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 4811 (b) 0.17 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-4)\/(-96)*-2*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(20) + sqrt(5)) + sqrt(11) + sqrt(22)\/sqrt(2) + -4)**2 - 5*(sqrt(99)*-1)\/sqrt(9).\nAnswer: -41*sqrt(11)\/3 + 683\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 14605*j - 43818. What is w(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - 16112?\nAnswer: -16127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -g - g - 3, 5*b - 5*g - 15 = 0. Let a be (10 - b)\/(6\/4). Solve 2*t - a + 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 2*j - 27. Let r be q(7). Let k be (18\/r)\/((-24)\/(-64)). Suppose -k*i + 24 = -0*i. Solve -i*l = 1 + 3, t + 3*l + 8 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 29*t**2 - 62*t + 6. Let p be w(31). Suppose m = p*m - 40. What is the highest common factor of m and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4090*s - 369 + 3683*s + 42 wrt s?\nAnswer: -407","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 0*k + 0*k)*(-2*k + 0*k + k)*(7*k + 0*k + k) to b*k**2 + m*k + o*k**3 + r and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 6*f - 4. What is the lowest common multiple of s(9) and -5 + (-40)\/(-15)*(-9)\/(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 526 = -0*a - a, a = -t + 110. What are the prime factors of t?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2099.95, 0.4.\nAnswer: -2099.95, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and (-13)\/8*-8 - -284.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**2 - 6. Let k(w) = -3000399*w**2. Determine c(k(v)).\nAnswer: 72019153273608*v**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 396, 1, -5\/4 in ascending order.\nAnswer: -5\/4, 1, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**4 + 2*c**2 - 2*c**2 + (2*c - 2*c - 3*c)*(0 + 0 + 2*c**3) - 10*c**2 + 10*c**2 - 13*c**4.\nAnswer: -23*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743 take away 0.1?\nAnswer: 1742.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -328*t + 325*t - 30, -4*t + 72 = 2*u. Solve u*v - 38*v = -28 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -678 divided by 1684?\nAnswer: -339\/842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 53, -2\/9, 0.4, 0.3, -7.9, -17?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 - 30 = -20*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -36139 greater than -36136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3 - 64*f**2 + 160*f + 6400 = 0. Calculate f.\nAnswer: -8, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 + 20*o**2 + 89*o**3 - 20*o**2.\nAnswer: 78*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -338.3*0.084\nAnswer: -28.4172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4001632, 8003297, 12004962?\n\"Answer: 4001665*c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165 by -33.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 9*k + 5103. Let x be (k - 6)*3\/(-9). Suppose 2*h - 271 = x. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -61009*j**4\/3 + 245518*j**3\/3 - 249973*j**2\/3 + 1988*j - 12.\nAnswer: -(j - 2)**2*(247*j - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + l + 1. Let f(z) = 169*z**2 + 22*z**3 + 4 - 169*z**2 - 4*z**3 + 16*z. Let n(a) = -f(a) + 4*k(a). Find the second derivative of n(h) wrt h.\nAnswer: -84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -502, -1004, -1506, -2008?\n\"Answer: -502*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 - 167 = d + 3*o, -11*o = 33 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2 = -2*l, 3*d - 3*l + 2*l = -7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 4)*2*-2. Solve l*j = -4*x - 8, -x = 3*j - 4*j - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3914 = -19*v + 16*v + 2*o, 5242 = 4*v + 2*o. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(5\/3)\/p)\/p)\/p)\/(p*p\/p**8) assuming p is positive.\nAnswer: p**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 10:33 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 plus 800646?\nAnswer: 800391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 725944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/23940058 and 101\/18?\nAnswer: 215460522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/6 - -7)*(-3 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 54.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.55 + 5.35. Let n = v - 5.2. Let k = -0.2 + 0.5. Which is the smallest value? (a) 1\/5 (b) k (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 10*m. Let h(u) = 2*u**2 - 20*u. Let b(i) = 5*c(i) - 3*h(i). Let s be b(10). Is s at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f = -22*f - 70*f + 1463. Solve f*c + 17 = 72 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-18) + 332\/36. Solve -2*n + 23 = 2*y + z, -5*n - 1 = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 12320?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*q*w*x - 178*q*x**3*z**2 + 2*q*x*z**2 - 2*w*x**3*z**2 + x**3*z**2 wrt w.\nAnswer: -5*q*x - 2*x**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/((27\/((-73710)\/(-28)))\/((-24)\/(-200)))\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.27516 - 0.24736. What is the smallest value in -4\/7, 1\/3, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*w + 6017 + 2581, -4 = q. Let c = 14299\/5 - w. What is the common denominator of 69\/2 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/12 and 143\/222?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5267331.\nAnswer: 3, 17, 173, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-17 - -9) + 42\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h + 28. Let b(z) = 8*z**2 + 10*z + z**2 - 2*z**2 - 5 - 30*z**3 + 29*z**3. Let j be b(h). Calculate the greatest common factor of 26 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 576 and 1667214?\nAnswer: 53350848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-47)*p*p)**21 assuming p is positive.\nAnswer: p**(-945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7261*t**3 + 16043 - 16043 + t to the form k*t + q*t**2 + j + f*t**3 and give f.\nAnswer: -7261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69957 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4902.67 and 0.2.\nAnswer: 980.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 4\/9 (b) -31 (c) -55 (d) -2\/37 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*m + 6 = m, 0 = f + 2*m - 4. Suppose -2*i + f*i - 4*b + 18 = 0, i + 4*b - 17 = 0. Determine w, given that 1 + 1 - i - w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93720\/14058*(-3)\/(-112).\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -8, -2, 3.\nAnswer: -8, -2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((7 - 1) + -10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56376)\/(-3915)*5\/(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7840 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84126 and 933.\nAnswer: 26163186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-5\/2)*r**3\/r)\/((r\/(r*r**(3\/5)\/r*r))\/r**(-3)) assuming r is positive.\nAnswer: r**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116981101 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 9. Let j = -26 + 23. Let w be (-8)\/6*(j - 0). What are the prime factors of s(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-18)))\/y*y)**(-45) assuming y is positive.\nAnswer: y**(-810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n + 3. Let c(d) = -2*d + 1. Let f be c(n). Suppose 0*k = f*k - 3. Let s(l) = 4*l - 1. Determine s(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -72, -146, -228, -324, -440, -582, -756?\n\"Answer: -i**3 + 2*i**2 - 73*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0 - 20 = 0. What is the lowest common multiple of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 + 775*d**2 + 1400*d - 26038. Give p(260).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ad40a0 - 4?\nAnswer: 2ad409b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*x = -9, 3*o + o + 9 = -3*x. What is the fourth smallest value in -0.2, -0.1, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**4\/24 - 8*b**2 + 12*b. Let w(v) = -62*v. Give o(w(i)).\nAnswer: 62*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 40 = -5*d, 2*a + 0*a = -4*d + 26. Let u(l) be the third derivative of -l**6\/120 + 3*l**5\/20 - l**3\/3 - 1023*l**2. Give u(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1992 and 24\/7?\nAnswer: 13944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttg when three letters picked without replacement from tggggggggt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7056 by -21.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 1:58 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5341*g**3 + 2*g**2 - 65*g - 237. Is u(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u = 42. Determine h so that u*h**3 - 2*h**2 + 4 - 8*h**4 + 9*h**2 + 5*h**2 - 14*h - 8 = 0.\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-4))\/(-3))\/(36\/(-648))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 2\/23, 130, 4, -3512 in ascending order.\nAnswer: -3512, -35, 2\/23, 4, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*t + 10. Let p = -6 - t. Suppose 2*b - 7*b + 33 = p*d, -b - d = -6. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 6:01 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -1\/140*a**6 + 1\/21*a**4 + 0 - 4\/735*a**7 + 2\/105*a**5 + 0*a**3 - 1\/1176*a**8 - 2*a**2 - 2*a. Determine x so that g(x) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 8, -824, 0.01, 2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from wbnnannwnanbbnfwfwa.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 36640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = 3*i, 4*i + 0*i + 2 = 2*h. Suppose i = 7*y - 5*y - 76. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 68*s**2 + 220*s - 3. Calculate o(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26166 - -a9?\nAnswer: 26242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 872 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 6:15 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -159*m**4 + 3231*m**3 - 21600*m**2 + 47628*m.\nAnswer: -3*m*(m - 6)**2*(53*m - 441)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 7. Let g be p(7). Suppose -7*t + 3*t + 192 = g. Does 24 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36853\/4 or 9214?\nAnswer: 9214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 6856. Let h(z) = 9*z**2 - 5*z. Let k(r) = -31*r**2 + 17*r. Let u(y) = -17*h(y) - 5*k(y). Determine q(u(m)).\nAnswer: -4*m**2 + 6856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*g = -43*g + 2. What is the closest to g in -5, 6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -734195*w**2 + w**4 - 3*w**4 - 3*w + 734128*w**2 in the form a*w**3 + t*w**4 + d*w + v*w**2 + m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1162894 times -757\nAnswer: 880310758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 528\/(-99) + 2\/6. Let p = -0.1 - -0.2. Let j = -0.4 - p. Put 1, d, j in increasing order.\nAnswer: d, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 - 6*o + 7*o**4 + 5*o - 8441*o**3 - 4 + 8439*o**3 to the form g*o**3 + n*o**2 + x + z*o + w*o**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 12:49 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 318 + -307. Suppose 0 = c*r - 533 + 467. Calculate the lowest common multiple of (-130)\/(-8) + (-2)\/8 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45.43 - 45. Round q to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 48. Let m = h - -12. Let f = -14.999938 - m. Round f to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 7, v: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**3 - d**2 - 2*d + 3. Let c(o) = o**3 + o**2 + o + 1. Let s(p) = -4*c(p) + g(p). Determine s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10946 is divided by 1333.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f + f + 2 + 5*f - 10*f**2. Let r be k(-2). Let i = r - -67. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 + (-66)\/(-10))*5 is divided by (3\/15*-1)\/(2\/(-110))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26 (b) -2 (c) 21 (d) 2 (e) -2284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - -4. Let h(i) = -3*i + 41. Let l be h(13). Suppose f = l*w - 0*w. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4132 - -3?\nAnswer: -4127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = t + 2*t. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*v**4 + 305*v**3 + 712*v**2 - 6*v.\nAnswer: -96*v + 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (294\/196)\/((-6)\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b + 4354041 = 17998283. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/18)\/5*5\/45?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/83)\/(w\/w**15)*(w\/w**14)\/(w\/w**(-2\/55)) assuming w is positive.\nAnswer: w**(-56\/4565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x - 5. Let z(b) = b + 1. Determine -3*j(i) - 15*z(i).\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -34. Let z = 46 + o. Let p = z - 30. What is the smallest value in 1\/3, -7, p?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuxullll. Give prob of sequence xuu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3.4. Let z = -0.4 - o. Let l be 60\/10 + 1 - 52\/8. Which is the closest to 6? (a) 0.4 (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 4. Let z be v(-4). Suppose n - 2 + z = 0. Let r be n\/13 + 42\/(-104). Which is the third smallest value? (a) r (b) 2\/13 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*s**2 + 118*s**2 - 357*s**2 + 115*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f + 2*f - 35 - 1. Let q be d(-18). Suppose -24*r - q = -26*r. Solve 0 = -3*t - 3*k + 3 - r, -t + 2*k - 11 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 10*j**2 + j - 11. Let h be r(-10). Calculate the common denominator of ((-492)\/(-70))\/((-12)\/h) and -49\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -49. Let r(q) = -q**3 - 8*q**2 + 6*q - 17. Let t(v) = -7*v - 6. What is the remainder when t(-5) is divided by r(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iickkc. What is prob of picking 2 i and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 2. Suppose 0*r - 3*r = 3. Which is the third biggest value? (a) r (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(130)\/(sqrt(10)*2) + 1 + sqrt(13) + 3) - (-2*sqrt(208) + (-6*(sqrt(13) + sqrt(13) + 3*sqrt(13)))**2).\nAnswer: -11708 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Express -24*h - h**3 + 15*h + 8*h + 20*h**2 + 2*h**3 in the form x*h**3 + n*h**2 + q*h + a and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1582 + 3095. Let w = c + -882. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/g**4*g)*g)\/(g**(-2\/17)*g))**(1\/36) assuming g is positive.\nAnswer: g**(1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1457.\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 + 4*u**4 + 6*u**3 - 4*u**3 - 3*u**5.\nAnswer: -u**3*(u - 1)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -59593\/21047 less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 3)*(-8*x - x - x) + 1 - x - 1.\nAnswer: -71*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 + -4)\/15)\/(6\/54)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 530 = -3*k. Let r = -40 + k. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.5, -0.5, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(76) + -4*sqrt(76)) + sqrt(76))\/sqrt(1296).\nAnswer: -4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 2. Let y be l(-4). Let c = y - -6. Suppose c*w = -a - 3 - 3, 0 = w + 2. Solve a = -v - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 12 = m + 3*g, 2*g - 3 = 3*m. Solve -r + m = -3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = q - 5*q. Let w be 65\/q + 4\/10. Suppose -3*n - j = -4, -w*n - 2*n = -3*j - 16. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 3*h**2 - 2*h - 3. Let b be m(4). Suppose k - 2*i - 2 = -2*k, -5*i - b = 0. Suppose -3 = -3*z - k. Is 0 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1306? (a) 190 (b) -0.1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4086.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 8*k**2 + 4*k + 7. Let p be w(-5). Let j be (p\/(-4))\/((-4)\/(-8)). Let t = j + 110. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or -568\/11?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 - 47106*l**2 + 94355*l**2 - 47249*l**2.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 2010372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-1) - -1*(34 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.498086 - 3.5. What is j rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**5\/13 + 4*w**4\/13 + 4*w**3\/13 - 8*w**2\/13 - 2*w\/13 + 4\/13 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.8 times 258262?\nAnswer: -1497919.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 1:23 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29864245 and 5975?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 13. Let k(d) = -2 + 90*d - 6 + 1 - 6. Is k(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -876398 by -4.\nAnswer: 438199\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30253*d - 138 + 42 + 94.\nAnswer: 30253*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 4*q - 5*q)*(-3*q**2 + q**3 + 3*q**2) - 54*q**4 - 5*q**4 + 27*q**4 to u + r*q**2 + o*q + t*q**3 + w*q**4 and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13262 is divided by 1018?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73607 is divided by 205?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -3.331?\nAnswer: -8.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*z, 5*h + 887*z = 889*z - 58 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 50489?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*n + 39. Let x = n - 21. Suppose -x*t - 2*o = -45500010, -2*t + 2*o + 18199980 = -2*o. What is t rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {e: 1, p: 1, d: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9730 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -317 + 8236. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 14*m**2 - 13*m - 7. Let v be 174\/(-14) - (-58)\/(-203)*2. Calculate p(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/58*(-2)\/(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 6 - 9)*(2*b**4 + 0 - 5*b**4 - 1) in the form g*b**4 + i*b**3 + q*b**2 + x + d*b and give g.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (138\/(-23) - -4*15) + (-66)\/(-121)*11\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1603 and 5411.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5\/h*h\/(h\/h**3)*(h**(-2\/7))**(-4\/25) assuming h is positive.\nAnswer: h**(1233\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 2. Let l = -15 + 7. Let w = -5 - l. What is the biggest value in 2\/5, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 388 + 390 - 778 + 147*x to c*x + g and give c.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1302 and 95956532?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 9*c + c)*(-c**3 + 0*c**3 + 0*c**3 + (1 - 1 - 2*c**3)*(0 + 1 + 0) + 0*c**3 + 2*c**3 - 3*c**3).\nAnswer: 44*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {t: 2, p: 3, j: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -739*d + 740*d - 1 + 61*d**2 - 18*d**2 to the form t + u*d + v*d**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {f: 1, x: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3058 + 3055. Which is the second biggest value? (a) 0.1 (b) -369 (c) n (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*t**4 + 1543*t**2 + 9*t + 9008499 with respect to t.\nAnswer: 60*t**3 + 3086*t + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9136\/(-88) + (-6)\/33. Let v = a + 106. Which is smaller: v or 11\/17?\nAnswer: 11\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -32?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-807)\/1883*(-595)\/3.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 453, 439, 413, 369, 301, 203?\n\"Answer: -g**3 - 7*g + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*c = 694*c - 3770 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.4 (b) 0 (c) -3056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21084\/13 - 1410561\/871. Is 3 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 8*u + 9. Let i be l(-7). Let y(m) = -m**2 - 5*m + 2. Let g be y(-5). Calculate the greatest common factor of i and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 17 + 35 - h. What is p(-24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*y - 148 = 0, 3*y = 5*x + y - 252. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**6\/120 - c**5\/30 - c**4\/24 + c**3\/6 + c**2. Suppose -9*x - 5 = -10*x. Suppose 0 = -2*h + x + 1. Determine y(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 956*y**2 - 2180*y - 444791171 with respect to y.\nAnswer: 1912*y - 2180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 7*x**2 - 5*x - 4. Let a be c(6). Let n = a - 0. Calculate the common denominator of 83\/22 and (-7)\/n - (0 + 2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9595 is divided by 3167.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4364 and 388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -143, 2, 5 in descending order.\nAnswer: 5, 2, -14, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -50 - (-1 + (-5 - -3)). Let t = 69 + h. What is the highest common factor of 55 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h - 6 - 7*h + 6*h + 0*h - h - h + (-2 + 5 - 2)*(-16 + 16 + 86*h).\nAnswer: 89*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*-6 - -1. What is the greatest common factor of z and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 8. Let q be 2\/v + 37510\/14. Let z = q + -26729\/10. Calculate the common denominator of -32\/3 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-614.5.\nAnswer: -7374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/6)\/((-4)\/30). Suppose 3*a + 32 = 5*r, -2*a - 11 = -2*r + k. Factor -2*d**3 + 0*d**3 + d**5 - d**2 + d**r + d**2.\nAnswer: d**3*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 2\/11 (c) 986 (d) 26 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 42688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/36*8\/(-21). Which is the closest to -1\/4? (a) 4 (b) -2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300)\/(-1050))\/((42\/833)\/(-3)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-6 + 17)\/((-2)\/(-48)*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10\/9 - 16\/9. Sort v, 2\/107, -2\/7, -4 in decreasing order.\nAnswer: 2\/107, -2\/7, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -17 + 17 + 5*a. Let z be y(1). Suppose z*r - 3*t - 111 = 53, 6 = -2*t. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5466.113 times -5\nAnswer: -27330.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 105 - 20 + 37 + 54.\nAnswer: d**3 + 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18\/13 (b) 16\/5 (c) -0.2208\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/290 - 166\/60)\/((455\/(-78))\/(-5))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 o when three letters picked without replacement from oojhhohoohjjoo.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -102, -113, -124?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*q - 30*q + 110. Calculate the common denominator of q and -53\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + f**3 - f - 4*f**3 - 5*f**2 + 4*f**3 - 3. Let h be c(5). Suppose 4*b - 90 = h*b. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214231980.\nAnswer: 2, 5, 13, 103, 45341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 18 - (-104 + 17 - -9)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, -3, -7, -13, -21, -31, -43?\n\"Answer: -n**2 + n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/858 and -139\/36.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 208\/(-36) - 4\/18. Let q = -49 + 50. Let m be q\/r*-20 - 3. Put 3\/2, m, -1\/4 in ascending order.\nAnswer: -1\/4, m, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142\/5 - -32. Let h = 7\/64 + -199\/4160. Calculate the common denominator of g and h.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - (47 - -47)) + 9?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 177, 2, 7\/5, 3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2198*o - 2176*o - 150744 = 0. Is 162 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/234*(-6084)\/858\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*1)\/(-2 - -1). Let m be 4*((-51)\/(-36) - 1) + -1. Sort 15, u, 1, m.\nAnswer: u, m, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12636095 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76)*1 + sqrt(76)*1*-6)\/(1*6*sqrt(20)\/sqrt(5)).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(m**2 + 40*m - 4*m**2 - 35*m)*(-3 + 3 + 1)*(2 - 1 + 0) to the form a*m**2 + v*m + d and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54 or -11047?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 7:20 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 <= -317337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1675 + -1675.4. Let y(r) = -r**3 - r. Let h be y(-1). Suppose -h*w - w + 3 = 0. Which is the nearest to 2? (a) l (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 30, -64716, 43?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122497156?\nAnswer: 2, 277, 110557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (204\/(-14))\/2 + 36\/126. Let q(n) be the first derivative of 3*n**2\/2 + 10*n - 5. What is q(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1842, 9011, 21522, 39375, 62570, 91107?\nAnswer: 124986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*t + 17*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u. Let b(k) be the first derivative of -1 + 3\/2*k**2 + 0*k. Give -3*b(r) - 5*j(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19098 divided by -9549.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16718.\nAnswer: 2, 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4424 and 1580?\nAnswer: 22120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*l + 89*l + 45*l = 19352 for l.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*t + 178*t + 345*t + 175*t - 871*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + v**2 - 1. Let p(t) = 2*t**2 - 13*t + 11. Let h(o) = p(o) - 2*r(o). Let u(a) = -a**3 - 6*a + 6. Give 4*h(g) - 9*u(g).\nAnswer: g**3 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*v = 51727 - 2062. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + j + 2*j + (-5 + 4 + 3)*(3*j - j - j) + 3*j + 0*j - 2*j + 3*j - 3*j - 2*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*t + 518*t + 230*t = 51750 for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20881 + -21051.97. Let d = p - -171. Which is the closest to -1? (a) d (b) 0.6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 40008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -20 + 6*u + 3*u**2 + 16 - 3*u. What is the remainder when l(-4) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 476*s - 471*s. Suppose 0 = -3*z + 6, -2*g - 2*z + 6*z - 6 = 0. Let l be (2 - (-6 + s))\/g. Solve 2 = -v + l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**2 + 2*n - 6. Let i(w) = w**2 + w - 2. What is -5*i(p) + j(p)?\nAnswer: p**2 - 3*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 322*k + 2. Let a(g) = -1288*g - 8. Determine 2*a(o) + 9*h(o).\nAnswer: 322*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 751\/172 or 4?\nAnswer: 751\/172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 3*k**2)*(0*k**2 - 3*k**2 + 4*k**2) + 4*k**4 + 6*k**3 - 6*k**3 to g*k**4 + q*k + c*k**2 + u*k**3 + n and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-24 + -32 - -68) + (8 - 1) + -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*i**4 - 20*i**2 - i wrt i?\nAnswer: 360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 3*h - 12. Let j be i(-7). What is the tens digit of (2 - 1)*(j - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32765178*d - 153375401 wrt d?\nAnswer: 32765178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6 + (-639)\/(-6). What is u rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183 and 1037?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 30*b - 46. Give k(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446, 894, 1354, 1826, 2310?\nAnswer: 2806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -33 (b) -0.4 (c) 3 (d) 5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 1\/2*x**2 - 1\/2*x**4 - x + 0.\nAnswer: -x*(x - 2)*(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3}. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 2 - 15\/120*8. Which is the closest to y? (a) 5 (b) -4 (c) -2\/11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3*(7 - 8 - (23512 + 4)). What is the highest common divisor of b and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 64. Suppose v = j + 5*d, 3 = -2*j - 4*d + 23. Find the third derivative of -3*y**4 + 3*y**4 + 9*y**6 + 5*y**j - 14*y**6 wrt y.\nAnswer: -600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119771296?\nAnswer: 2, 139, 26927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 61673*g - 1171747. Calculate k(19).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y**3 - 64*y - y**3 + 64*y. Suppose -3 = 4*v - v. Let w be t(v). Calculate the highest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/4)\/((-9)\/24). Let w(b) = b**3 - 5*b**2 + 4*b. Let g be w(f). Let q(o) = -o**3 - 3*o**2 + 3*o - 2. Let h be q(-4). Solve g = -h*c - c - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-2.074\nAnswer: 2.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/624 and 99\/4208896.\nAnswer: 164146944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5911508 > 5911503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q. Let u(s) = s - 1. Let h(t) = -12*t**2 - 167*t + 13. Let i be h(-14). Determine i*z(m) - 2*u(m).\nAnswer: 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95724182 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-1\/7))\/o)\/o*o**(-2\/21))\/(o*((o*o**(1\/4))\/o*o)\/o*o*o*(o*o**(-3)*o)\/o))**(-22) assuming o is positive.\nAnswer: o**(2299\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1995 - -1995.00000889. What is t rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -187075?\nAnswer: 187080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8475, 7998, 7519, 7038, 6555?\nAnswer: 6070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221 - -225. Let t(p) = p**3 + p + 4. What is the lowest common multiple of t(0) and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3473 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 14560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 97*g - 619. Calculate s(-45).\nAnswer: -934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72075331 to the power of 1\/3, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 33. Calculate the smallest common multiple of 16 and (-2 - -2)\/1 + s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227883503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -37. Suppose -o = 4*m + y*o - 16, 0 = -4*o. Suppose m*q + 213 = 7*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 4*i**2 + 4*i + 1. Let o be 12\/((-4)\/2)*-1. Let t = o - 11. What are the prime factors of a(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**6\/75 - 3*k**5\/50 + 17*k. Factor z(d).\nAnswer: -2*d**3*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -5*m + 59, -y - 12 - 13 = -15*m - 24 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 32. Solve w = -2*t - 4*i - 2, 5*t + 14 = -i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -658*s - 661*s + 1982*s - 652*s. Let b(g) = -226*g - 2. Give b(r(l)).\nAnswer: -2486*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 1 - d + d)*(6 - 4 + 6 - 8 - 5 + 4 + (4 - 3 - 3)*(2 + 4 - 7) + 0 - 5 + 4 - 2 - 1 + 4 - 1 + 1 - 2 + (0 - 3 + 2)*(6 - 2 - 1)).\nAnswer: -4*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.22? (a) -0.04 (b) 242 (c) 6.8 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 0*h**3 - 3*h - 6 + 1\/180*h**6 + 0*h**2 - 1\/60*h**5 + 1\/72*h**4. Let x(w) be the first derivative of i(w). Factor x(d).\nAnswer: d**2*(d - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2404991908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = x - 8. Let t be (-96)\/(-42) - (-4)\/(-14). Suppose u = x - t. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58296 by -694.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 5)*(-33*s**2 + 2*s**2 + 6*s**2)*(-2*s**2 + s**2 + 3*s**2) as l*s**3 + r*s**4 + t*s + o*s**2 + u and give r.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 151*d**3 + 161.\nAnswer: 453*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9439 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from kqkkkkhqqq?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-18))\/((-32)\/48). What is the biggest value in 0.5, -1\/2, r, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44732*f**3*z**3 + 2*f**3*z - 967*f*z**2 - z**2 wrt z?\nAnswer: 268392*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6*-1*0. Let b(c) = 0 + 0 + p - 2*c. Let w(z) = -6*z**2 + 5. Let s(k) = -11*k**2 + 9. Let q(i) = 5*s(i) - 9*w(i). What is b(q(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 61084\/(-3) + (-2)\/3. Let h = 58353373 - 1574991367\/27. Let w = f + h. Find the common denominator of -41\/12 and w.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 divided by -39?\nAnswer: -272\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*n = -10307 + 818 + 564 for n.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnjjnjjjnjnn. Give prob of sequence jnnj.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + -2 + 64 + 0 + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 10) + 2 + -3 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2 - 2)*(-a - 2*a + 0*a) + (12 - 12 + 12*a)*(-3 - 48*a + 4 + 42*a).\nAnswer: -75*a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 9*s - 740. Suppose 4*g - 25 + s = 0. What is the hundreds digit of 109 + (g\/(-5) - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 q when three letters picked without replacement from {g: 1, e: 4, o: 1, q: 2, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(88))\/sqrt(4)*5)\/(-2*sqrt(128) + sqrt(128) - sqrt(98)*-3).\nAnswer: -20*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2 - 4*x + 2721. What is the tens digit of f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 18*g - 240. Which is the smallest value? (a) g (b) 1\/4 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42993*v**3*y**2 + 2*v**3*y - 6*v**2 - 9840409*v*y**2 wrt v?\nAnswer: 257958*v*y**2 + 12*v*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + q + 20 = 0, -2*q + 4 - 14 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*s - n - 4 = 0, 95401*s = 95396*s - n - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*x = 429*x - 2*k - 7, 4*x = 3*k + 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 500, 472, 442, 410?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 16*a - 40592 = 0. Suppose 3*r - 19147 = -a. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2933, -11824, -26633, -47348, -73957?\nAnswer: -106448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(78) - (sqrt(78) - -2*sqrt(78)*-2))\/(sqrt(54)*-6) + (-4*(-1*sqrt(78) + sqrt(78) + sqrt(78)))\/(sqrt(6) - sqrt(96)*2))**2.\nAnswer: 26137\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 0*g - g**3 + 0*g**2 + 1\/6*g**6 + 0*g**4 - 2 + 0*g**5. Find the third derivative of q(m) wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28193 rounded to two decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-56)*-2*(5 + -9)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -917*w**2 - 255*w - 2580*w - 80*w**2.\nAnswer: -997*w**2 - 2835*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -3 - (3 + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c - 3*c - 2*c)*(53 - 1 - 25)*((0*c + c + c)*(-3 - 1 + 5) + 0*c - 3*c + 5*c + 0*c - 2*c + c) to z + r*c**2 + b*c and give r.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 3)*(2*b - 2*b - 2*b)*(-83*b**3 + 25*b**3 - 373*b**3) as v*b**2 + i*b + h*b**4 + g*b**3 + l and give h.\nAnswer: -862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 13*d + 1833 - 611 - 609 - 613.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 96764\/33864 - 5 - 13\/(-6)\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6633, -13791, -20951, -28113?\n\"Answer: -t**2 - 7155*t + 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1892088 and 132.\nAnswer: 1892088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48825232929 + -3.725.\nAnswer: -48825232932.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5848a (base 13) to base 6.\nAnswer: 3242055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-20) + ((-2771)\/(-978) - 704\/15)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337 (base 12) to base 2.\nAnswer: 111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a**2 - 3*a**2 + 6*a**2)*(0 + 0*a + 3 - 2*a) to the form o*a**3 + t + m*a + z*a**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660559446 to the power of 1\/2, to the nearest integer?\nAnswer: 40750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-4 + 4 + 2*j**2) - 2*j**2 + j - j + (-5*j + 2*j + 2*j)*(j + 0 + 0) - 3*j**2 + 5*j**2 - 3*j**2.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Let w(z) = -2*z - 6. Let l be w(-8). Suppose -2*k = -3*k + l. Let c(j) = k*j - 14*j + 4*j + 2*j**2. What is c(g(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -300*u + 624*u + 789*u + (2 - 4 + 0)*(-4*u - 5*u + 5*u).\nAnswer: 1121*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 12 + -7 + 11 + 30\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 11:49 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 102 = 123. What is the lowest common multiple of 10\/p + 12188\/165 and 9?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**4\/2 + 3*y**2\/2 + y + 3. Let d(i) = 2*i**3 - 4*i - 1. Give -3*d(b) - 4*t(b).\nAnswer: 2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/441078 and 19\/14432?\nAnswer: 7057248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**3\/5 + 24*z**2 - 228*z\/5 + 112\/5 = 0.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(230\/(-15)))\/2 - (4 - 219\/36)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6049 bigger than 2\/15789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/44 and -17\/18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0015661541 and -0.071.\nAnswer: -0.0694338459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43331, 86661, 129991, 173321?\n\"Answer: 43330*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*s + 5*s + 1272, 3*w = 3*s + 1902. Let d = -370 + w. What are the prime factors of d?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37328000 rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -618 (base 10) in base 12?\nAnswer: -436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.2. Let r = 38 + -25. Let p = r + -16. Which is the closest to k? (a) 1\/4 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 = 203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2457981.\nAnswer: 3, 53, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1586048833298?\nAnswer: -1586048833299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = -3*t + 195003, 4*t + 3*k - 260003 = 0. What is t rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -41*u**2 - 9*u. Let n(y) = -26*y**2 - 6*y. Let s(a) = 8*n(a) - 5*w(a). Let f be -3*((-10)\/(-6) + -1). Give s(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -238*k**4 + 162 with respect to k.\nAnswer: -952*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1755.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 9. Let p be d(-6). Suppose -i + 2 + p = v, 0 = -i + 3. Suppose -4*w + 3*w + 7 = 0. What is the lowest common multiple of w and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55169.\nAnswer: 43, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*r + 33. What are the prime factors of (-16)\/5*(r + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.895863 meters in millimeters?\nAnswer: 9895.863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 559, 6392, 16141, 29830, 47483?\nAnswer: 69124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 952160 = -5*z, -24*s + 23*s + 2*z = -190414. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -353 (c) -4 (d) -38 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 382162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 - 945 = -5*m - i, -2*m - 2*i = -320. Let g = 228 - m. What is the greatest common factor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 7 + (0 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 - 3 = 0. What is the remainder when 4 + (-147)\/((-6)\/x) is divided by (-300)\/(-21) - (-2)\/(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 4152*z + 1384*z - 178 + 1381*z + z**2 + 1389*z in the form k*z**3 + c + q*z**2 + t*z and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 704 = 38*z - 6*z. Calculate the remainder when 93 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 14*l = -5*x + 141, 2*l = -5*x + 147. Suppose 27*a = x*a - 4. Solve 0 + 2\/5*k - 1\/2*k**a + 1\/10*k**3 = 0 for k.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - -7. Let a be 39\/52 + 1\/4. What is the derivative of s*d**3 - 3 + a + 11 wrt d?\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/4)*w\/(w**(-2)\/w*w))**(15\/7) assuming w is positive.\nAnswer: w**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 11:05 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14513 divided by 28?\nAnswer: -14513\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 44. Suppose 2*g - k + 15 = 0. List the prime factors of (-7)\/(364\/(-1188)) + g\/(-39).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 37 + (0 - 0) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**6\/30 + 5*v**4\/24 + 5*v**3\/6 + 69*v**2 - 2*v. Let p(w) = 5*w**3 - 6*w - 6. Give 5*p(y) + 6*t(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*1 - 858\/39. What is m rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 152319, 152338, 152369, 152418, 152491, 152594?\n\"Answer: m**3 + 12*m + 152306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5850876*y**3 - 295489*y wrt y?\nAnswer: -35105256*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504 divided by 36.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276013 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.3 - 5.1. What is the closest to -2 in 2, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 47056?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 2 - 2 - 4) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 14 + -15 + -1. Which is greater: z or 2\/3493?\nAnswer: 2\/3493","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 4*w**3\/3 + 3*w**2\/2 - w - 153. Let a(f) = -15*f**2 - 11*f + 4. Calculate -6*a(h) - 22*o(h).\nAnswer: 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)*b**(-6)*(b\/(b**(-1)\/b))**(16\/11))**(7\/3) assuming b is positive.\nAnswer: b**(-784\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 0 - 10. Suppose m - 3*y - 6 = 2, -2*y - 8 = -s*m. Let w = -1 + 1. Solve m*n + w*n = 5*v, 0 = -2*v + 2*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1127 and 32844.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1251 + 1262. Solve 6 = -9*u + y*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 298118464 divided by -4658101\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (16 - 12) - (0 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 561140730 a multiple of 2439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (2 - (-6 - (2 - 6))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2673\/(-22)*(-68)\/3111. Which is smaller: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 11. Let d be p(-5). Let z = 5 + d. Solve -3*k + 8 = -4*i, 0*k - z = -2*k + 2*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 21 = y, 5*y + 2*y - 11*y + 4 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3141 + 13?\nAnswer: -3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 - -4 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 9:53 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 44.1. Does 0.14 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.51 in -1\/8, 0.3, 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013310146 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 - 104 = 3*n. Calculate the highest common divisor of 485 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 29. Let b be c(-12). Let s be (-2)\/5*(-5)\/2. Solve 4*a - b*a = -s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = s + 11, -4*s = -4 - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(36\/(-3))*2*7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 23*g + 5. Let n(j) = -j**2 + 23*j - 6. Let k(b) = 5*n(b) + 6*t(b). Let a be k(10). Differentiate -496*v + 2 + a*v - 19 wrt v.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 745 + -406. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 25, -0.4, -8\/7 in increasing order.\nAnswer: -8\/7, -0.4, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/5 + 42*r**2\/5 + 69*r - 2116\/5 = 0.\nAnswer: -23, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 294 - 303. Let b(l) = l**2 + 10*l + 20. Let u be b(p). Let m = 77\/8 - -1\/24. Are u and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-4039060.6.\nAnswer: 16156242.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*i*v - 11784*i - 4918*v + 8 wrt v.\nAnswer: -27*i - 4918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 779*h**3 - 4*h**2 + 3. Suppose -2*t - 3*t + 34 = -2*z, 0 = 5*z + 10. Let v = -3 + t. Let q be g(v). What is q rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 2*r + 0 + 0*r**2 + 1\/105*r**6 + 5\/42*r**4 + 2\/21*r**3 + 2\/35*r**5. Factor c(b).\nAnswer: 2*b*(b + 1)**2*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = -2*c. Suppose -5*y - c*p + 47 = 0, -2*y + 4*y - 5*p = 42. What is the least common multiple of y and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/((-435)\/20))\/(12\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642894?\nAnswer: 2, 3, 7, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -7568 - 9784. What are the prime factors of v?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 8127*q - 66048129\/2.\nAnswer: -(q - 8127)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 5*j + 37. Let p be x(-8). Suppose -4*u + 68 = p*u. Solve -u*g + 14 = -6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in -0.02, 0, 1\/100, -10.5?\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0 + 2 - 6 + 2 + (4 - 4 - 1)*(2 + 0 - 3) + 5 - 1 - 3)*(-10 - 13 + 11)*(0 + 2*q + 0) to the form y + v*q and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 11201120?\nAnswer: -11201202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 38244 = -4*j, 4*j + 21*z = 19*z + 38240. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 362 (b) 1\/32878 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.7223 and 1.\nAnswer: 23.7223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h + 104 = 4*v, -5*h + 102 = 2*v. Let q = h + 36. Suppose 0 = r + 3*r - q. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 1, -1, -2 in decreasing order.\nAnswer: 37, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (22 + -8 + 2) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 10*m - 2. Is b(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0588571316 rounded to five decimal places?\nAnswer: 0.05886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from {e: 6, w: 1, s: 4, d: 1, m: 4}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -758 - -4?\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23114 - 22785. Solve -g*p = -309*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -1\/6*z**3 + 0 - 4*z**2 + 5*z. Let g(h) = -15 + 2*h - 5*h + h. Calculate 6*g(m) - 11*v(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**6\/120 + w**5\/15 + w**3\/2 - 2*w**2. Suppose 0 = -4*i + 7 + 5. List the prime factors of o(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2199 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -355*o**3 - o**2 - 3*o + 3. Suppose 3*j - r - 7 = 0, j - 5*r - 7 = 14. Let y be f(j). What is the tens digit of (3\/6)\/(-1 - 358\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5)*o)**(3\/4))**(-40) assuming o is positive.\nAnswer: o**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -63. Suppose -4*v - 9 - 2 = 3*k, 5*k - 3*v = m. Solve k + 3 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*t - 43*t + 30*t)*(3 + 3 - 4)*(0 + 5 - 2).\nAnswer: 156*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 4*q - 15. Let a be f(-7). Let t(k) = 28*k**2 - 170*k + 11. Let p be t(a). Sort p, 21, -2 in ascending order.\nAnswer: -2, p, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44358 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44274 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481.4423 months in millennia?\nAnswer: 0.123453525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l - 111 = 0. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.24, 5, 0.5, -0.4, 24?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 6 (b) 17 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 337.9008 and -0.00742069.\nAnswer: 337.89337931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -880, -878, -876, -874, -872, -870?\n\"Answer: 2*b - 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 6:22 PM?\nAnswer: 513","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4003, -8008, -12013?\nAnswer: -16018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5074 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000029565 rounded to seven dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 246 (base 7) to base 8\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 104 = 2*u - 9 + 11, -4*u + 4 = -2*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (35\/10 - 2)*76. Let j = f + -164. Let y = -7 - j. What are the prime factors of y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11424100 (base 5) to base 4.\nAnswer: 122113321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 10:50 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/5 - 2752318*p\/5 + 550464 = 0.\nAnswer: -1376160, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 + 135. Calculate the remainder when b is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006765332 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*t - 11. Let y be (-15)\/2 + 1\/t. Let x(f) = -f**3 - 6*f**2 - 7*f + 5. What is the units digit of x(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 15. Let i(d) = d**2 + 5*d - 1. Suppose 0 = 2*q + 14 - 2. Let y be i(q). Solve 3 = y*r - x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by 8159\nAnswer: -64\/8159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2 + 6434164*y + 19302510 = 0?\nAnswer: -3, 3217085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 101137*k**2*z**2 + 3*k*z**3 + 304769*z**3 wrt k.\nAnswer: 202274*k*z**2 + 3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttaaat.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 7*h**2 - 18*h - 1. Let y be i(-4). Suppose 0 = -y*s + 15*s. Put 4, s, 11 in decreasing order.\nAnswer: 11, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3651453 divided by -103?\nAnswer: 35451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 24*t**3 - 2*t**2 + 3*t - 1. Suppose 39*a = 44*a - 5. Let l be d(a). Suppose 9*x = l + 48. What is the remainder when 14 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r - 1. Let q = 170 - 79. Let d(f) = -2 + 2 + 93*f - q*f. Let t(h) = -h**3 + 7*h**2 - 6*h - 5. Let m be t(6). Give m*d(j) - 2*i(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n + 4. Let u(h) = 5. Let z(y) = -y + 21. Let q(w) = 9*u(w) - 2*z(w). Let g(s) = -6*a(s) + 5*q(s). Give g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/10 (b) -103\/648 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + s**2 + s + 1. Let o(d) = -10*d**3 + 15*d**2 + 15*d + 15. What is 15*l(x) - o(x)?\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5*d = -30, 962*d - 15 = -2*h + 959*d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -15*d - 32. Suppose d = -3*k + 14. Let u(z) = z**2 + 8*z - 4. Determine u(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let l(i) = -i - 1. Suppose 0*a = -3*a + 18. Let y be ((-3)\/a)\/((-1)\/2). Let c(w) = y*l(w) - 2*d(w). Determine c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 306\/54 + (-72)\/27 + 3. Let l = -1 + 1. Solve 3*b = -l*y + 5*y - 14, 4*y - z = 5*b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2. Suppose 0 = -3*d + 2876 - 2942. Let c(s) = 9*s**2 + 7*s**2 - s**2. Determine d*x(o) + 4*c(o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293783392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 18*m**2 + 18*m + 34. Let n be l(-17). Solve -4*p + n = -3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -152 + 1066\/7. What is the closest to s in 3, 3\/7, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8326*l + 18733496. What is f(-2250)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 16*b - 94. Let n(r) = 2*r - 25. Let i(q) = -a(q) + 3*n(q). Let m(d) = 5*d - 9. Calculate 6*i(p) + 13*m(p).\nAnswer: 5*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 99593 = 32273. Is 97 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 12 = o, 6 = 5*o + u + 9. Suppose 3*c - 6*x + 11*x - 6 = o, 4 = 2*c - 4*x. Solve c*b = -2*l + 6, -l + 2*b = -5*l + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 5:24 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -36 + (7 - -14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 29*p + 21*p - 59*p + 15 - p**3 - 11*p**2. Let g be -1 + (-3)\/3 - 2*4. Let c be r(g). Put -3, -13, c in descending order.\nAnswer: c, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 + 2*r**5 - 2*r**3 + (11*r**3 + 0*r + 0*r)*(r**2 + 5*r**2 - 4*r**2) + 0*r**2 + 0*r**2 + 2*r**5.\nAnswer: 26*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 77 = 9 - 44. Suppose 0 - 8 = -4*n. Suppose 24 - 74 = -n*b. Solve -5*o = -o + 5*k - b, -3*k - s = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 8*d**2 + 2*d - 12. Let g be h(8). Suppose -b = 2*f + 3*f - 1, g*f - 4 = -4*b. Solve f*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 965.1868780243 + -15.1868848343. Let c = -993 + 43. Let t = p + c. Round t to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 14*o - 37. Calculate the remainder when 18 is divided by g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/1224915 or 0.2?\nAnswer: -14\/1224915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218 - 20. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5444 = 5*b - 0*m, -2*b + 5*m = -2189. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 12 - 1 + 1 + 0.\nAnswer: -2*z**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9275347*-13.\nAnswer: 120579511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2\/19*w**3 - 2\/19*w**5 + 0*w - 2\/19*w**4 + 0 + 2\/19*w**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(2 - 6 + 1)*(-v - 2*v + v + (-1 + 0 + 2)*(0*v - 2*v + 0*v)) to the form h*v + m and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*y**3 + 35*y**3 - 50*y**3 + 4*y**3 - 5*y**3 + 2*y**3 + (0*y**2 - 2*y**2 + 3*y**2)*(-y + 5*y - 3*y) in the form c*y**3 + a*y + p*y**2 + g and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -361.67 - -372.67. Which is the smallest value? (a) -2\/5 (b) 3 (c) -12.1 (d) z (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3\/8 - 327*p**2\/8 - 11205*p\/8 - 115425\/8 = 0. What is p?\nAnswer: -45, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106844.\nAnswer: 2, 26711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-35)\/(-56)*1*-2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 461 - 236. Let j = q - 222. Solve j*i + 5*i - 24 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -11*o - 3*f - 36 + 133, 32*f = 2*o + 34*f - 104 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxxxhxxhxxxxxx. Give prob of sequence hhxx.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101101011 + 1000?\nAnswer: -10001101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4563, -17625, -39175, -69213, -107739?\n\"Answer: -4244*y**2 - 330*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 168 = t - 25*t. Calculate the greatest common divisor of 763 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 16 = 4*o, -2*o - 8 = 6*i - 2*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/63*(3\/(-7) + (-1653)\/(-1015)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 665821.7 millilitres?\nAnswer: 665.8217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 57156?\nAnswer: 57156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, u: 2, r: 5}. What is prob of picking 1 u, 1 y, and 2 r?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.703594284 rounded to 2 dps?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 17*a**2 + 19*a - 3838. Determine j(-3).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2 = -4*k, 2*b + b = 4*k - 18. Let y(f) = -26*f - 5. Is y(b) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.865824467 to 1 decimal place.\nAnswer: 17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 + 5 = 3*q. Does 18 divide 9\/q - (-1155)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -151, -3, 23 in increasing order.\nAnswer: -151, -3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 3, -2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212491668, 212491667, 212491666, 212491665, 212491664?\nAnswer: 212491663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1) + ((-100)\/(-5))\/2. Suppose -13 = -4*c - x*c. Suppose -30 = -4*m + 2. Calculate the greatest common divisor of c and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z - 12*z - 10*z + 26*z as b*z + r and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:04 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -10*r - 7*r. Is 16 a factor of 3 + 65 + 1 + (4 - r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-39))\/((-2790)\/(-8060))\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 422 - -1?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*u - 3054*u - 49*u + 95616 = 938*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 7. Let b = -8 - y. Let o be 3\/(63\/(-57)) - b. Is o at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a**2. Let i(k) = 7*k. Determine g(i(c)).\nAnswer: 490*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 469320*b**2 - 234652*b**2 - 234653*b**2. Let n(m) be the third derivative of 1\/24*m**4 + 0*m**3 + 0 + m**2 + 0*m. What is f(n(p))?\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 690 + -688. Let y(n) be the first derivative of -1\/7*n**2 + 2\/21*n**3 - 4\/7*n - o. Find m such that y(m) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 + 8394*x + 786827\/2.\nAnswer: (x + 47)*(x + 16741)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 214, 184, 132, 52, -62, -216?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/(-162) + (-22)\/(-12). Suppose -5*v - 3*g + 6*g + 3 = 0, -3*v + j = -2*g. Is v != -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-22)*(153 + (-273671)\/1648).\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooiiiiiiiioiiiioiio. Give prob of sequence oioo.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*i**4 - 534*i**2*q**3 - 2*q**3 + 2*q**2 + 12808 wrt i?\nAnswer: 32*i**3 - 1068*i*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 982223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 23*d - 46. Let i be a(-20). Find the common denominator of i\/10 - ((-72)\/16 + 5) and 49\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484 + 973 - 489 - 955*b**2.\nAnswer: -955*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + t - 2. Let w be x(-3). Solve -s - w*i + 15 = -0*s, i = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:36 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-175)*-5)\/((-20)\/(-25))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 4*p**2 - 2. Suppose 10 = -5*l - 5*l. Let g be u(l). Let k = g + 15. Calculate the remainder when 30 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c + 14. Let n be b(-10). Is 32 a factor of n\/(4*4\/(2048\/(-12)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (36\/21)\/(2\/14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 156 = -3*a. Suppose -5*u - r = -0*r + 237, -3*r - a = u. Let j be ((-1)\/(-2))\/((-1)\/u). What is the greatest common factor of j and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z + y - 55, -51 = 3*z - 3*y. Let k = z + 21. Which is the biggest value? (a) k (b) -5 (c) 0.4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + c + 1. Let i be v(2). Let a(x) be the first derivative of 3*x**2\/2 + 4*x - 1. Let l(f) = f + 1. Determine i*l(u) + a(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 113. Let z = 8 - -4. Let s = 27 - z. Calculate the remainder when x is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189003 is divided by 36179.\nAnswer: 8108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 7474*f = -7479*f + 15, 4*n = -15*f - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, -3, -8, 3, 3950 in increasing order.\nAnswer: -8, -3, 3, 4, 9, 3950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (14 - 15) - (21 - 20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 4512750?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbiiibbiibbbiibii. Give prob of sequence bb.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -0.774682.\nAnswer: -0.274682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5099*k + 6. Let r(z) = -4582*z. Calculate r(t(v)).\nAnswer: -23363618*v - 27492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 - (3 + -6 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104348409103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-836)\/6 + 10\/(-15). Let m = 662099\/4 + -165528. Calculate the common denominator of 509\/p + (-2)\/(-7) and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 93462.69s?\nAnswer: 93462690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4 = -4*x - 2*h, 0 = -x + h + 1. Suppose 0 = 2*f - q + 1, 4*f - 3*q = 2*f + x. Let l = -57 - -55. Put 5, f, l in descending order.\nAnswer: 5, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -870064 or -870063?\nAnswer: -870063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/7 in -0.05058, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1 + 162*f**2 - 79*f**2 - f - 82*f**2. Let h(x) = -143*x**2 - 3*x - 3. Let k(g) = -h(g) + 3*q(g). Let p(t) = 2*t**2. Calculate p(k(m)).\nAnswer: 42632*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 363, 720, 1077, 1434, 1791, 2148?\n\"Answer: 357*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 17*o**2 - 110*o - 72. Give r(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-351))\/(408\/(-1326)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11642508 and 15523344.\nAnswer: 46570032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. Let l be (y - -4)*(-8)\/(-12). Suppose -2*h + 14 = 2*d, 5*h + 65 = 7*d - l*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114143 < 114147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njjn when four letters picked without replacement from {n: 2, j: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*b = -19, 4*a - 25 = -4*b - 5. What is the tens digit of (-6)\/a - (-198)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 = 30*w + 27 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1754345 + 64?\nAnswer: 1754431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**3\/2 - 9*n**2\/2 - 4*n. Let g(y) = -y - 4. Give -4*d(v) + 9*g(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -325 + 387. Let d = f - 497\/8. Put 4, 15, 2, d in ascending order.\nAnswer: d, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19229, 38457, 57685, 76913?\nAnswer: 96141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 j, 1 s, and 1 f when four letters picked without replacement from jfrsdsjffsaf.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*f - 12, -3*f - 6 = -4*d - f. Suppose 0 = -3*a + 4*v + 7, -5 = -5*a - 3*v - d. Solve -a = -2*s + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 1.3, 1\/5, 167, 60, -5 in increasing order.\nAnswer: -5, 1\/5, 1.3, 28, 60, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*b + 32. Suppose -c + 2 = -2. Let m(u) = -3*u - 2*u**2 + 3*u**2 - c*u. Calculate m(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from jjjjcirjjjajjj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t. Let m(k) = -10*k + 4 + 10*k**2 + 10*k - 6*k**2 - 10*k**2. Calculate m(a(x)).\nAnswer: -294*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -557793.12 to the nearest ten thousand.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 8*v**2 - 10*v - 6. Let a be p(-9). Suppose -z - 3 = -5*r, z + 2*z - 5*r - 1 = 0. Suppose z*b = a*b - 15. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -139.8? (a) -2 (b) -2\/9 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 43. Let w(y) = 30*y + 248. Determine w(b) + 5*x(b).\nAnswer: 35*b + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 3*v**2 - v**3)*(20 - 142 - 71)*(2*v - 4*v - v)*(4 - 2 - 3).\nAnswer: 579*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5123.01 and 0.328?\nAnswer: 1680.34728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-8)\/6)\/(9\/(-81))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -26. Let o = 31 + -29. Factor 2*y + x*y**2 - 2*y**4 + 7*y**3 - 76*y**2 + 4*y**4 + 49*y**o.\nAnswer: y*(y + 1)*(y + 2)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 + 5*k**2 - 4*k + 5. Let b be j(-7). Let w = 529 - 50. Let u = w - b. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (62\/30)\/((-9)\/621). Let g = -142 - h. What is the nearest to 2\/7 in g, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzddzzdzzzzzzzzzz. What is prob of sequence dd?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 + 40. Let t be (v\/24)\/((-2)\/30). Let h(s) = 168*s - 17. Is h(t) 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 p and 1 m when two letters picked without replacement from pmpppmqpmohpmhmmoop?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -826 - -834. What is the remainder when 200 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/19 - 50*u**4\/19 - 178*u**3\/19 - 214*u**2\/19 - 84*u\/19 = 0 for u.\nAnswer: -21, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -4*o + o. Suppose -4*t - 5*n + o = -108, -3*t + n = -99. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 179, 638, 1543, 3044?\n\"Answer: 25*r**3 - 2*r**2 - 6*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(76)*-4)**2*-1 + 5 + (sqrt(38)\/sqrt(800))**2.\nAnswer: -4375581\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 bigger than 0.985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 960 or 951?\nAnswer: 951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3 - 3)*(3*x**3 + 4*x**3 - 6*x**3 + (3*x**3 + 5*x**3 - 3*x**3)*(-4 + 2 + 0) + x**3 - 5*x**3 + 5*x**3).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*i - 8*i - 11*i - 8 to b*i + r and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36634.77 - -36173. Let m = 464 + y. Round m to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -53*u**3 + 2*u**2 + 6*u + 5. Let p be j(-4). Suppose -6783 = -4*t + 16*x - 17*x, -2*t - 5*x = -p. List the prime factors of t.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbqwv. What is prob of picking 1 h and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -72*((-40)\/12 - 1). Suppose 139*q = 133*q + j. Suppose -4*k + q = 5*w, -w + 0 - 1 = -3*k. Solve 4*g + 3*v = -1 - 13, w = g - 5*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*1 - 2352\/(-8). Let l = r - 175. Is 38 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - 42) + 16 + 50.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 23238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-56)*2*(-4)\/(-40)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/((-2)\/(-15)). Let d(l) be the second derivative of 3\/2*l**2 - 1\/20*l**5 + 0 - 5\/12*l**4 + 1\/3*l**3 + 2*l. What is d(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 77, 2\/9, 1, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a decade in months?\nAnswer: 2480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 25 = -15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97703.\nAnswer: 41, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*o + 63 = 0, o - 5*o - 179 = -3*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1584*k - 190008 = -5085*k - 4626*k + 210*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in 1\/9, 4\/399, -0.5, -0.06?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -564, -1734, -4018, -7788, -13416?\nAnswer: -21274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -368587 * -0.2.\nAnswer: 73717.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*u + 53, 3*u = -r + 7 + 2. Suppose -4*a + 667 = -11*m + 8*m, -4*m + r = 0. What is the remainder when a is divided by 87?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -15 (b) 2 (c) -29 (d) -4\/7 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 249306 and 15722.\nAnswer: 1745142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/86103971 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -87, 2380, 1, 74 in descending order.\nAnswer: 2380, 74, 2, 1, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9030307 to the power of 1\/2, to the nearest integer?\nAnswer: 3005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 251*u + 12325. Calculate s(-49).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 444?\nAnswer: -177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 3*o - 6. Let f(h) = -3*h**2 - 5*h - 13. Let p(v) = 2*f(v) - 5*u(v). Let z = 7697 - 7692. Calculate p(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-377)\/1344 + (-2)\/(-7))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243816 and 34176?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = b - 6 + 1, 2*b - 10 = -5*q. Let u = -563 - -557. Put q, -1, u in increasing order.\nAnswer: u, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 1.8 (c) 1.1 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g**2 - 218*g - 256. Give x(21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c\/((c**(1\/6)*c)\/c))\/c)\/c*c)\/(c\/(c**(-19)*c)*c)*(c**(-8\/9)\/c*c)**(20\/9) assuming c is positive.\nAnswer: c**(-3425\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 8. Let o be p(-12). Suppose 2*v - 1494 = -o*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 - -205. Let f be (-2)\/(-8) + q\/36. Solve -f*d - 3*k = -12, -4*k + 21 = d + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5709086*i**3*o - 2*i**2*o**2 + i*o**2 - 4*i + 12*o**2 - 2*o - 1928 wrt i.\nAnswer: -34254516*i*o - 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35721 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 567360*m + 774725 with respect to m.\nAnswer: 567360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.26 - -0.26. Let x = i + 13.9225. Let d = 0.067 + x. What is d rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/10623 (b) -3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135) + sqrt(135)*2 + sqrt(135))\/sqrt(9))\/(1*sqrt(108)))**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + b**2 - b - 1. Let c(s) = s**3 + 8*s**2 + 9*s - 4. Let j(u) = -c(u) - 2*h(u). What are the prime factors of j(11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -8*q - 0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, -3, -2, 5, -66.\nAnswer: -66, -13, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*r + 100*r = 181*r + 6120 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44581591.\nAnswer: 44581591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51010630 by -536954.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2030808558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -354763 and -0.0377.\nAnswer: -354763.0377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85126)\/(-4119)*3\/(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**3\/27 - z**2 + 7*z - 67. Factor f(x).\nAnswer: -(x - 3)*(x + 21)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 1127029*f\/5 + 2254098\/5.\nAnswer: -(f - 2)*(10*f + 1127049)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(6*2*sqrt(22))\/(sqrt(2) + -3*sqrt(18)).\nAnswer: -45*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -496.2 and 0.212?\nAnswer: 496.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 - 21?\nAnswer: -22.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1295, -0.7, 0.3, 4, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 392 = 5*r, 4*n + n + 390 = 5*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 - 207*j + 15395. Determine c(45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*4\/(-252)*-3*3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from ggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 744\/29 - 42235\/1566. Let c = -368951\/20 - -18453. Calculate the common denominator of p and c.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2050 and 9348?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3424 (base 7) in base 2?\nAnswer: 10011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6040\/429 - -199\/39. Let j = -19 + b. Let a = 0.29 - -0.01. Sort -3, 1\/3, j, a in descending order.\nAnswer: 1\/3, a, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (10 - 7 - -3) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039141 to 5 decimal places.\nAnswer: 0.00391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1624*t + 1635*t + 56 - 804 = 0 for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2724*r**3 - 2730*r**3 + 5452*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 12*b**3 + 3*b**2 - 4*b + 2. Let h be y(2). Suppose -2 = -5*g - h. Calculate the common denominator of 82\/g - 3\/5 and -1\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6239267.\nAnswer: 71, 87877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -46 - (2 - (0 + -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/14)\/j*j**(-2\/9))**(-22\/5) assuming j is positive.\nAnswer: j**(1793\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 3\/17 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 p when four letters picked without replacement from yppyppp?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j - 10 = 0. Let x = -2 - -2. Let u = j + x. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -5. Let u = 3.1 + 0.9. Let g = 1711 - 3421\/2. What is the second biggest value in g, u, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -398\/21641?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2584, 2783, 2982, 3181?\n\"Answer: 199*g + 2385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*v**4 - 3*v**3 - 114*v**2 - 40 wrt v.\nAnswer: 864*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203924767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 281.3? (a) -10 (b) -6\/17 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 126780408 divided by 227\nAnswer: 558504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3822193 is divided by 1305.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 4*n + 3. Let p be (-2)\/9 - 616\/63. Let j = -10 - p. Suppose 0 = -j*u + 4*u + 16. Give y(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 - 380*a**3 + 370*a**2 + 380*a - 375.\nAnswer: 5*(a - 75)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n + 16*n + 3. Let f be 1\/4*(-156)\/(-24). Is n < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(b - 8*b + 3*b)*(72 + 22 - 19).\nAnswer: 300*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 5022268.\nAnswer: 30133608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 + 3*o - 3*o)*(37*o - 67*o + 59*o).\nAnswer: 58*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, t: 1, c: 1, a: 2, v: 1}. Give prob of sequence fctf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48955341?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -0.58300502?\nAnswer: -0.58300502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8046 and 729.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) 0 (b) 2\/5 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 7*a - 5. Let f = -6 - -10. Let b = f - 8. Calculate the remainder when 13 is divided by t(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.214, 6 in increasing order.\nAnswer: 0.214, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 556590.8 weeks in minutes?\nAnswer: 5610435264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 3\/111613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3075442 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16092 and 0.15?\nAnswer: 16092.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 436112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -330, -526, -758, -1038, -1378, -1790, -2286?\nAnswer: -2878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-5\/3))\/(y**(-2\/5)*y))\/(y**3*y**(3\/2)))**11 assuming y is positive.\nAnswer: y**(-803\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 14*y**3 - 26*y**2 - 3*y - 296. Let q(i) = 26*i**3 - 54*i**2 - 3*i - 592. Let b(g) = 11*m(g) - 6*q(g). Find the first derivative of b(o) wrt o.\nAnswer: -6*o**2 + 76*o - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 169*l**2. Let d(x) = 4*x**2. Calculate d(v(y)).\nAnswer: 114244*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262626380, -262626379, -262626378?\nAnswer: -262626377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 4*l - 7*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00218926137 rounded to 5 decimal places?\nAnswer: 0.00219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) -0.1114 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57603*l**3 + 165775*l**2 + l.\nAnswer: 345618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*x**2)*(-1 + 1 - 2)*(6 - 4 + 42)*(7*x**2 + 3*x**2 - 4*x**2).\nAnswer: -1056*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*u - 1 + 9, 0 = u + 2. Let h = 0 + 0. Suppose -3*t + h = -3. Calculate the remainder when z is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**3 + 5*f**2\/2 - 8*f - 2. What is the tens digit of m(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**2. Let d = -203 - -201. Let t be ((-1)\/(-1))\/((-1 + 0)\/d). Let u(x) = -5*x**2. Determine t*u(g) - 3*l(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*2 + 0. Let c = -224.95 + 230. Let h = -0.05 + c. What is the nearest to 0.1 in h, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22 - 889)\/((-1)\/7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)\/sqrt(5))\/sqrt(2).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 4. Let q = 51 - 47. Let x = q - u. What is the greatest common divisor of 63 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -16*g - g**3 + 0*g**2 + 0*g**5 + 110 + 227\/6*g**6 + 0*g**4. Find the third derivative of p(z) wrt z.\nAnswer: 13620*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 76*s**2 - 177*s - 1\/2*s**3 + 0 - 17\/12*s**4. Differentiate d(v) with respect to v.\nAnswer: -34*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/72878 and 50\/91.\nAnswer: 510146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 10, z: 2}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/910*14*-6*10\/164.\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, 1 in increasing order.\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = -38*p - 23*p. Let y(i) be the first derivative of i**4\/4 + 8*i**3\/3 + 5*i**2\/2 - 11*i + 3. What are the prime factors of y(p)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 7*z + 10. Let k be f(5). Solve -2*o + 6*o + 12 = k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4606, 4527, 4432, 4315, 4170, 3991, 3772?\n\"Answer: -i**3 - 2*i**2 - 66*i + 4675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 418 = 5*c, 5*c = 3*c + 3*n + 157. Is 32 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9114 divide 1423777938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d + 2. Let s be z(13). What is the highest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-5)\/(-4))\/((-7)\/(-1820))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (300\/(-24))\/25*1*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3853 - 11563\/3. Put -5, -126, -2\/11, o in ascending order.\nAnswer: -126, -5, o, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5 + 3*l**3 - 2*l**3 - l + 29 - 21*l**2. Let q be p(21). What is the derivative of -2 - 6*w**3 - 2*w**3 - 1 - 3*w**q wrt w?\nAnswer: -33*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 101809631866 and -4.\nAnswer: 101809631862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4398 or -4401?\nAnswer: -4398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-111)\/(-21) + (-2)\/7. Suppose 3*m + v + 0*v - 46 = 0, v = i*m - 74. Let y be (-2)\/(-2) - 17\/m. Which is the closest to -0.1? (a) 0.1 (b) y (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*((-6*2*sqrt(1008) - sqrt(1008)) + -3*(-2*sqrt(1008) + sqrt(1008)))**2*-3 + -5.\nAnswer: 4535995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23711783 and 518.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -138. Let s = d - 61. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29\/2 + -265\/18. Which is the second biggest value? (a) u (b) -3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*l - 3 + 6 = 0, 5*q - 21 = -4*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2635 and 155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8920, 18252, 27610, 37006, 46452, 55960?\nAnswer: 65542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -64, -58, -50, -40, -28, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - 97292443?\nAnswer: -97292466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p**3 + 16*p**2 + 36*p - 2579. Is q(40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**2 + 8*x + 6. Give b(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4133.43 - 4196. Let i = -0.43 + b. Let x = -63.00073 - i. What is x rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5*f**2 - 5 - 4*f**2)*(14*f**2 + 8*f**2 - 29*f**2) to the form n*f + b*f**2 + g*f**4 + r + d*f**3 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-307)\/(-7982) - 2\/(2 + 2). Is z smaller than 159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5. Let x(v) = o*v - 1 + 2*v + 2 - v - 7*v**3. Let l be (-10)\/10*(-2)\/8*-4. Determine x(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7801 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 5\/6*j**4 + 6*j**2 - 3*j + 5\/3*j**3 + 0 + 1\/20*j**5. Let h be z(-9). Solve -h*l - 3 = 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 6\/7 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3886677 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4032 and 1344.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 11*t**2 + 18. What is d(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998*w - 21535 = -55467 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 41*n**2 - 590 - 40*n**2 + n + 10*n + 586. What is f(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -32. Let y be ((-2)\/p)\/((-2)\/(-18)). Let i = y - 16. Is i at least -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150*c - 61*c + 90*c)*(3*c + c - 2*c).\nAnswer: 358*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 4747.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 + 3*a**4 - 2*a**4)*(-6*a - 1 + 9*a - 1).\nAnswer: 6*a**5 - 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 18*p**2 + 23*p - 88. Let w be q(-12). What is the highest common factor of 36 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 25 = -a. Let l = a - -8. Let x(p) = -l*p - p + 2*p**2 - 1 + 3*p + 2*p**3. Give x(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001376182737 rounded to six decimal places?\nAnswer: 0.001376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435905270?\nAnswer: 2, 3, 5, 3677, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1823 - 1684. Calculate the greatest common factor of 7367 and l.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 + 214*d - 214. Let u(k) = -2*k**2 - 4*k + 1. Let q(g) = -n(g) - u(g). Solve q(m) = 0.\nAnswer: -71, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*h - 7*h = -28, 12 = -4*h. Put -17, z, -1 in ascending order.\nAnswer: -17, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.1906cm to nanometers.\nAnswer: 41906000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1628 = 17*m + 57*m. What is the smallest common multiple of 394 and m?\nAnswer: 4334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/15*(-6)\/8)\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/1 - (-2 - -1). Let s be -1 - -4 - (m - 0). Solve -5*x - s*z = -23, -7 = x - 2*z - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 209, 1 in increasing order.\nAnswer: -7, 1, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 7. Let u be p(3). Suppose -3*c + u = -7. Suppose 190 = 4*w - c*k, 3*w + 0*k - 144 = 3*k. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.5 times 16198.1\nAnswer: -396853.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (626 + -630)*(-86)\/(-88) - 1*-3.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63501*g = -64286*g + 58090 for g.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 878 from -122.\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23581 divided by 23581.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 646246 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 - 34\/(-6). Find the third derivative of -41*l**6 + 89*l**i - l**2 - 39*l**6 wrt l.\nAnswer: 1080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -531473121852 minus -5?\nAnswer: -531473121847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d**3 - 4*d**2 + 5*d - 6. Let l be (10\/15)\/((-2)\/9). Let s be -5 + 1 - (l - 2). Let q(c) = c**3 + c**2 - c + 1. Calculate s*t(k) + 6*q(k).\nAnswer: -2*k**3 + 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 352\/7. Let g(f) = f**3 - 14*f**2 + 13*f + 5. Let v be g(13). Let s = -6 + v. Which is greater: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -64. Let i = g - -49. What is the smallest value in -0.2, i, 5\/3, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -207, 0, -1\/7, 3\/7, -3, -5\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 891717138 to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28884 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 + 0*d**3 + 4*d**3 - 74 - 14*d**3.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Suppose g*x + 3*d = -2 + 10, 4*d = -2*x + 4. Suppose -213 = -x*p - p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.7 and -4103197976.088.\nAnswer: -4103197973.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.04 - -27.84. What is the biggest value in 2, f, -4.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1826.8*0.11\nAnswer: 200.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhcw when four letters picked without replacement from {j: 1, w: 11, p: 3, h: 1, c: 1, b: 1}.\nAnswer: 11\/73440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109636, -213408, -317180, -420952?\nAnswer: -524724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208429?\nAnswer: 13, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, 0.2, -5, -35559 in ascending order.\nAnswer: -35559, -5, -0.3, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 10) in base 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {b: 8, f: 1, m: 2, i: 2, n: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32176?\nAnswer: 2, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.335154 centuries to decades.\nAnswer: 13.35154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 35 = 8*p, -4*l - 23431 = -2*p - 23403 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -13276767\nAnswer: -26553534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/7))**(2\/23))**(-29)*w\/(w\/(w*w*w**(-2\/11)\/w))*w**(-4)*w**(1\/2)*w\/w**8 assuming w is positive.\nAnswer: w**(-45777\/3542)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -563*o**6\/2 - 3893*o**3\/3 + 138. What is the third derivative of h(w) wrt w?\nAnswer: -101340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 + 309*f**3 - 17895*f**2 - 108524825*f wrt f?\nAnswer: -24*f**2 + 1854*f - 35790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*u**2 - 146*u - 2018 wrt u.\nAnswer: -10*u - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Suppose -4 = -y - g*y. Is (-218)\/(-1) + (y - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 44 = -13*w. Calculate the smallest common multiple of 8 and -1 - w - (-8 + 8 + -21).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/20)\/(56\/40).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 1033 - 2*q + 1522340*q**2 - 1522342*q**2)*(3*q - q - q) to z*q + d*q**3 + a*q**2 + i and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from {g: 7, w: 2, e: 4}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 4:06 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 5*f + 7)*((9*f - 6*f + 3*f)*(-f + 2*f - 3*f) - 5*f**2 + 2*f**2 + 2*f**2 + f**2 + f**2 - 3*f**2).\nAnswer: 70*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**3 + 59*j**2 + 66*j - 2. What is the hundreds digit of m(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/(-2) - 1\/(-2). Suppose 617 = 28*o + 24*o - 371. Let v = o + u. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Let m = c - 6. What is the units digit of m\/(-1) - (4 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -10*q**3\/3 - 6*q**2 + 6*q. Let i be j(12). Find the common denominator of -44\/9 and (-712)\/i + (-4)\/(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -23*s**2 + 4. Suppose -90 = -7*f + 4*f. Let r(i) = -54 + 84*i**2 + f*i**2 + 35. Let p(c) = -19*g(c) - 4*r(c). Let k(w) = -2*w**2. Give p(k(v)).\nAnswer: -76*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**3 - l**2 + 6*l - 4493. Let a(x) = -3*x**3 + x**2 - 5*x + 4493. Let t(c) = 5*a(c) + 4*k(c). Let h(d) = -d + 3. Let f be h(3). Is t(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1608 and 19\/12462.\nAnswer: 49848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5\/6)*m)\/m**0 assuming m is positive.\nAnswer: m**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 120 = -4*t + 79, -3*t - 2*z + 152 = 0. Calculate the remainder when 3 - (-6 + t)*-1 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9257 - 9254. Let j(p) be the first derivative of 8*p**t + 9 + 128*p - 48*p**2 - 1\/2*p**4. Find b, given that j(b) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81323650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 2*h + 1, -19*h + 17*h = 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-9 + -7 + -11 - 35)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 18*i - 16*i - 18 = 0, 3*a = -i - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -36271*p. Let n(l) = 354*l**2. Determine n(y(u)).\nAnswer: 465717246114*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9275347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3957.\nAnswer: 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -23*l - 1. Let x = 8 + -9. Let i be r(x). Solve 10 - i = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2) + 0 + 3 + 0.\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:32 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**6 - 1495430*h**5 + 704*h**2 - 472 wrt h.\nAnswer: -120*h**3 - 89725800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 336788 and -0.07 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 22 = -3*w + w, -h - 22 = -5*w. Suppose 5*j = h*p + 19, -p - 13 = -j - 2*j. Suppose 3*k = -2*k + 5. Solve j - k = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-4) - -2 - 2\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 15*g - 2. Let x be k(-11). Suppose 4*m = 6*m - x. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*d**2 + 77*d**2 - 8*d**2)*(12*d + 3*d - 6*d)*(0*d - 3*d + 7*d).\nAnswer: 3420*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 903 and 317684?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 - 3*a**2 + 4*a + 4. Let n(d) be the first derivative of -d**4 + d**3 - 5*d**2\/2 - 5*d + 21. Calculate -4*n(c) - 5*o(c).\nAnswer: c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20, -3 in ascending order.\nAnswer: -3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6519465 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 3*i + 7*i + (i + i - 3*i)*(1 + 2 - 2) + (-5*i + 4*i + 3*i)*(2 + 0 + 0) + 0*i + 2*i - i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-262)\/(-8) + 2\/8. Suppose 5*q + 0*q + 50 = 0. Let o be (-4)\/q - 78\/(-30). What is the highest common factor of j and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/6)\/((-2)\/(-12)). Let r(w) = w**3 + 17*w - 16. Let z be r(1). Let n(b) = 157*b - 170. Let l be n(z). What is the highest common divisor of j and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 157. Suppose 5*g - 2*g = m + z, 3*g - 63 = 3*m. What is the greatest common divisor of 125 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -10 - 5. Suppose -i + 0*g - 2*g = -12, -4*i + p*g - 4 = 0. Is i less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.07828us in milliseconds?\nAnswer: 0.09907828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*w - 23, -3*w = 12*q - 11*q - 22. Let a be 7 + (-51)\/w + 212\/7. Calculate the greatest common factor of 20 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -13*c**4 + 3*c**2 - c. Let v(r) = r**2 - r. Suppose 7*f + 12 = f. Let u(k) = f*n(k) + 6*v(k). Find the second derivative of u(m) wrt m.\nAnswer: 312*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let t = -154 - -164. Let c(m) = -t + 5*m + 19 - 8. Give c(s) - 3*x(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a**2. Let q(l) = -l**2 - l - 1. Let n(u) = 7*u**2 + 25*u**2 + 13*u**2 - 6*u**2 + 52 + 52*u. Let i(p) = n(p) + 52*q(p). What is i(b(d))?\nAnswer: -468*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/6*(2 - 5 - -5). Suppose -2*b - 3*n + 600 = 0, -x*b = -3*n - 243 - 642. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46723\/25 + -1868. What is the common denominator of c and 29\/40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -127*l - 53. Let y be c(-1). Suppose 34 - y = -5*g. Let h(m) = m**3 + 6*m**2 + 2*m + 1. What is the least common multiple of h(-3) and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) -127\/18 (c) 0.4 (d) 2\/9559 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27248 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 16 = -g + 4, 3*g = 3*p - 9. Let s(a) = -a + 18. Let j be s(9). Let u = -6 + j. Solve g = -u*d - 5 - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63520.4cm in meters?\nAnswer: 635.204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**4\/h)\/h*h)\/h*h)\/h)\/(h\/h**17) assuming h is positive.\nAnswer: h**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/3, -0.06, 2\/15, 1751, 0.2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -57. Let l be (-4)\/5*(10 - 0). Let i = h - l. Calculate the smallest common multiple of i and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*12\/18*1\/(-2). Let s(z) = -z**2 + 4*z + 103. Does 4 divide s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000036185 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(180)\/sqrt(144))\/(sqrt(30)\/(3*sqrt(6)\/sqrt(2))).\nAnswer: 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -352*b - 20*b**2 - 5*b**3 + 169*b + 168*b.\nAnswer: -5*b*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17337562831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + 16*k + 7. Let q be i(-5). Let l(v) be the first derivative of -v**2 - 18 - v**2 + v**3 - v**q - 9*v**2 + 21*v. Factor l(x).\nAnswer: 3*(x - 7)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-26)\/4)\/(-13))\/(140\/10)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*m - 220*m + 598*m - 199*m.\nAnswer: -27*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u + 2 = -26*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -51687610 and 4719?\nAnswer: 51692329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0*h - 4. Factor -3*a**3 + 4*a**h + 2*a**3 - 3*a**4 + 0*a**4.\nAnswer: a**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (2 + -3 - 2). Let u be (-2)\/(-4)*-1*q. Factor 1\/2*g**4 - u*g**2 + 0*g**3 + 0*g + 0.\nAnswer: g**2*(g - 1)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/5 + 76*w**3\/5 - 792*w**2\/5 + 1296*w\/5 = 0. What is w?\nAnswer: 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 9*m + 4. Let p be (30\/2)\/(4\/(-8) + 2). Suppose -p = -24*s + 22*s. Solve 0*t + 5 = -3*t + s*w, 0 = 3*t - 4*w + m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2925 + -2950. Sort 2, -4, b in increasing order.\nAnswer: b, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 1. Let p(a) = -2*a - 5. Let t(m) = m + 6. Let n(b) = 3*p(b) + 2*t(b). Suppose -4*y + 3*y = -6. Calculate y*l(w) + 2*n(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -227? (a) 0 (b) -18\/19 (c) 5 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m + 20. Suppose 0*h + h - 2*z - 4 = 0, 0 = -4*h + 4*z - 4. Let n be q(h). Suppose n*p = 191 + 131. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 423.6639 decades?\nAnswer: 4236.639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**7\/360 - 47*q**4\/24 - 158*q**2. Let k(c) be the second derivative of u(c). Let d(t) = 19*t. What is d(k(z))?\nAnswer: 133*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -2, 1, -72 in descending order.\nAnswer: 1, -2, -3, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*y + 1584 - 1473 = 0. What is the closest to y in -4\/5, 1\/1367, -3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 51. Suppose 3*b + b = k. Solve n + 2*n = b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(528))\/(sqrt(24)\/(sqrt(8)*-2)) + 4 + 0 + -1.\nAnswer: -16*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, 0, 36, 86, 150, 228?\n\"Answer: 7*o**2 + o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjrrrrjjjrrjr. Give prob of picking 1 r and 1 j.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k = -876. Let v = -294 + k. What is the highest common factor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*(-6*(sqrt(5) + 1)**2 + sqrt(5)).\nAnswer: -1296 - 396*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4553, 18245, 41069, 73025, 114113?\nAnswer: 164333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r. Let j(t) be the first derivative of t**4\/24 + t**2 + 1. Let z(n) be the second derivative of j(n). Calculate m(z(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 = 4*r - 5*s - 7, -352 = -4*r - 2*s. Suppose -4*q + 0*q = 2*w - r, -5*w = -5*q - 225. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000409329 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + i = -6*w - 189, 0 = -2*w - 4*i + 98. Suppose -4*g = -0*g - 220. Let f = w + g. Calculate the remainder when f is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f = 27*f - 60. Solve 5*k = b - 17, 5*b = b - f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003927 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 138, 299, 494, 729?\n\"Answer: l**3 + 8*l**2 + 102*l - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32 (b) -0.3 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42307\/12 + -3521. Let g = 9367\/56 - 1009\/8. Let f = g + -3371\/77. Find the common denominator of y and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7355188 by -25189.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171)\/((-4446)\/(-208))*-13*1\/(-12).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*k - 8 = -91*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-27)\/(-3))*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1243*v**2 + 680. Let d(m) = 3731*m**2 + 2040. Let j(i) = -4*d(i) + 13*z(i). Differentiate j(n) wrt n.\nAnswer: 2470*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 582 divided by 97\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 3883.\nAnswer: -3886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/5 and 119\/290.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-8))\/((-3)\/(-12)). Let z = 1 - y. Let w be -1 - z - (-144)\/45. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*i - 103*i - 104*i in the form f + t*i and give t.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156*r**2 - 3 + 3 - 1168*r + 72*r**2 + 86*r**2 to the form v*r + c*r**2 + b and give v.\nAnswer: -1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710 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: Rearrange (4 + 5 - 5)*(i**2 - 2*i + 2*i) + 10*i**2 + 0*i - 14 + 13 - i to t*i + u*i**2 + b and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.29. What is the closest to -2 in -3, g, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 14*l + 14*l + 4*l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -1041?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, q: 1, x: 3, t: 1}. What is prob of sequence iq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13491 (b) -1\/5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**7\/42 + o**6\/720 - o**4\/6 + o. Let x(q) be the third derivative of d(q). Is x(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496\/14 - ((-17824)\/224 - -81)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*w + 2 - 0, 0 = 4*g + 2*w. Solve g + 24 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-190 - 148*k - 237*k + 192)*(k + 6 + 0 - 11) to the form z*k + a + t*k**2 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1140734\/25575 - -1472\/33. Calculate the common denominator of u and 47\/100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - n**2 - 4*n**2)*(8575 + 48*n - 8575) + 2*n**3 - 5*n**3 + n**3 + n**3 - n**3 + n**3 + (-3*n**2 + 3*n**2 + 2*n**3)*(0 + 1 - 2).\nAnswer: -51*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Suppose 5*g = -o + 443, -o = 3*g - 265 - k. Let l = 5480 - 5458. Calculate the highest common divisor of l and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/4188 and -59\/8376.\nAnswer: 8376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:31 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 551843377 a multiple of 951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k**4 + 10*k**2 + 274*k - 9*k**2 - 183*k - 130*k in the form v + j*k**2 + a*k**4 + b*k**3 + u*k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 11529 + 11401 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + -0.4. Let j = 0.955 + v. Round j to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 199355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1591762598 to the nearest integer?\nAnswer: 39897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*f + 129*f = 16. Let r be (-21 - -18)\/(6\/f). Solve -45 = r*h - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 5, -39\/217, 4, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**5 + 531*c**4 + 35376*c**3 + 1057056*c**2 + 12266496*c + 11244288 = 0.\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12*n = 45. Let v be 6\/2 + (-1580)\/n. Suppose -z - t + 79 = -2*t, 4*z - t = v. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2035.\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23437 + -23440. Let u(k) be the second derivative of 5*k**3\/6 - 3*k**2 + 7*k. Let w(x) = -4*x + 5. Calculate z*u(s) - 4*w(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3910 + 8832. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*v**2 + 605*v**2 - 299*v**2 + 497*v**2.\nAnswer: 893*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-361)\/57)\/19*627\/11\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6528 is divided by 2058?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 310026 and 5072.\nAnswer: 2480208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4083, 4170, 4257?\n\"Answer: 87*a + 3996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 11 = -1. Let y = 29 + 11. Suppose y = 5*a - k*a. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176894 (base 14) to base 3.\nAnswer: -1112220112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/2 - 280*b**4 + 12438*b**3 - 198585*b**2 + 2430675*b\/2 - 1731375 = 0. What is b?\nAnswer: 2, 15, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 16*u + 8. Let m be o(8). Suppose m = 3*r - 133. What is the remainder when r is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/280, 0.5, 34, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3070489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -26. Suppose -5*j - 5 = -k. Suppose 26 = j*d - 6. What is the remainder when 30 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -3324795 and -3324789 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 7*f + 8. Suppose -w = 3*y - 35, -y = -w + y + 45. Let q = -34 + w. Let h be a(q). Solve 2*s = -2*s + h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4331675 decades to months.\nAnswer: 51.9801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 5*l + 16. Let r(g) = -g + 8. Let w be r(5). Suppose -2*s - w*s = 35. What is the units digit of t(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -864933 divided by -3\nAnswer: 288311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2410812 is divided by 803445?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**3 + w**4 + w**3 - 6*w**3 + 30 - 156*w - 32 + 4*w**3 as n*w**4 + q*w**2 + f + x*w + h*w**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -67036168*3\nAnswer: -201108504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86334712?\nAnswer: 2, 43, 113, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 106 times 0.25\nAnswer: 26.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 10*b**2 + 8*b. Let v be 224\/21 - (-2)\/(-3). What is the remainder when k(v) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 175.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1469080 divided by -293816.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 189071053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 99527087 to the power of 1\/3, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -62 * -54.2979\nAnswer: 3366.4698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -91*r**3 - 4*r**2 - 7*r - 6. Let b(t) = -90*t**3 - 3*t**2 - 6*t - 5. Let c(y) = 6*b(y) - 5*n(y). Let o be c(1). Let a = o - -142. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -1182 (c) -4\/7 (d) -1 (e) 0 (f) 4 (g) -505\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2 and ((20\/(-54))\/(-1))\/(1\/3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - k. Suppose 4*b = -20 + 48. Let w be q(b). Suppose 5*u - 3*n = w + 6, n + 28 = 3*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i**2 - 4*i + 316. Let v(p) = 20*p**2 + 11*p - 936. Calculate -11*l(o) - 4*v(o).\nAnswer: -14*o**2 + 268","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 151 + 43 = 0. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w = 21. Let v(i) = 0*i + 50 - 45 - 8*i + i**2. Let d be v(w). Sort d, 4, 1.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-32)*1*6*1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**2 - 3*v - 2. Let t be q(-2). Let d(n) = n - 10. Give d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 22 = 4*k, 18*k - x - 7 = 15*k. Suppose 64 = 4*b + 3*z, 2*z - k*z - 23 = -b. Calculate the remainder when 75 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.4 + -9. Let t = 4.6 + v. Let x = -7 + t. What is the closest to x in -3, -5\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3*(-11 + 2). Let n = c - -4. Let m be (-116)\/(-10) + n\/(-5). Solve 3*f + 0*f = -m, -2*y + 3*f + 10 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1634\/(-5301))\/(-43)*-9 + (-110)\/(-744).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, j: 3}. What is prob of sequence zz?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 3*i - 5. Let t be x(-4). Let s be (-3)\/t + 4\/42. Let m = -0.46 + 0.66. Which is the closest to -0.3? (a) s (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 5*r - 11. Let n be d(2). Suppose 2*f = 6 + 8. Calculate the remainder when f is divided by ((-2)\/n)\/((-1)\/7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 2\/276289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9944475*p + 4*p**2 - 9944484*p + 19888959*p.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 4*y**3\/9 + 4*y**2\/3 + 4*y\/3 + 5. Factor s(r).\nAnswer: 4*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 0 + (0 - 0\/4))\/(4\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 16 = -4*y + 7*l, -2*y + 8 = -5*l. Differentiate 1183*c**3 - 4*c**y + 60 - 1183*c**3 with respect to c.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 23859*t - 309984. What is m(-13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -35*p - 19. Is y(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-27))\/((-12)\/72). Let y = -16 + 15. What is the third smallest value in 3, y, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/(22\/132).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m. Let s(d) = -23*d**2 - 2*d. What is h(s(g))?\nAnswer: -46*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 + 60. Let n(m) = m - 5. Let u be n(6). Let z be 2\/16*u\/1. Which is the nearest to -0.1? (a) z (b) l (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 2. Let q(a) = a**2 + 5*a + 2. Let v be q(-5). Let d be f(v). What is the first derivative of -d + 3*o**3 + 5 - 5*o**3 wrt o?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 592, 1154, 1716, 2278, 2840?\nAnswer: 3402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1001 and 385.\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -10*m**2 + 16*m + 6490. Let i(p) = 6*p**2 - 10*p - 4326. Calculate -5*d(a) - 8*i(a).\nAnswer: 2*a**2 + 2158","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23597, 94323, 212199, 377225, 589401?\n\"Answer: 23575*x**2 + x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0*s - 13\/24*s**4 + 39*s**2 + 0 + 0*s**3. Let n(u) = 33*u**2. Determine n(t(c)).\nAnswer: 5577*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 5. Let v = 7.33 + -7.28. What is the closest to 1 in k, v, -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 613287, 613217, 613101, 612939, 612731?\n\"Answer: -23*j**2 - j + 613311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2736))**2*5*4.\nAnswer: -960*sqrt(19) + 54800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 9 + 38 + -21\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/k**(-5\/6)))*k)\/k**(-42) assuming k is positive.\nAnswer: k**(269\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6430 and 54\/3652883.\nAnswer: 36528830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*w - 19*w = 140 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47\/54 + 10\/27. Let y be (-4)\/(-16) - 58\/984. Let m = y + -1\/41. Put 0.2, x, -4, m in ascending order.\nAnswer: -4, x, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.431 + -0.069. Let g = c - -18. Put -0.1, g, -2 in descending order.\nAnswer: g, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224819645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210263 - 212353 = 95*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2597 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1 + 11*s**2 - s**3 - s**3 - 2*s + 3*s**3 - 8. Calculate the remainder when n(-11) is divided by (8\/5)\/((-2)\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 14*i = -148. Let t = 80 + i. Solve 2*b + t = k, b + k - 4*k = -13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 0 - 2\/3*y**4 - 5\/3*y**3 + 1\/20*y**5 + 15*y + 1\/2*y**2. What is i(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198537 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 5, 0, -7 in decreasing order.\nAnswer: 5, 4, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*3\/1*1\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 4 - 1 - (-12 + (20 - -30))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 180 - 174. Let y(g) = -26*g + 17*g - d*g. Let m(q) = -2*q - 3. Let r(z) = -6*z - 8. Let p(x) = -8*m(x) + 3*r(x). Determine y(p(h)).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1679303*x**2 + 172589.\nAnswer: 3358606*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 6*m - 212. Suppose -5*l - 6*s + 125 = -s, 0 = -3*l - 4*s + 73. What is the remainder when m is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3737 - 2538. Suppose -4*c + 3313 = -5*o - f, o + 4512 = 4*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and -0.000521?\nAnswer: 0.0006773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 320?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 187, 182, 175, 166, 155, 142, 127?\n\"Answer: -s**2 - 2*s + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 303290*k*q**3 + 2*k*q**2 - k + 63*q**2 + 101974620 wrt q.\nAnswer: 909870*k*q**2 + 4*k*q + 126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + sqrt(112) + -5.\nAnswer: -1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 109*d - 114*d. Let w(t) be the second derivative of 0 - 4*t + 1\/27*t**6 + 0*t**3 + 25\/189*t**7 + 2\/27*t**4 + 0*t**d - 8\/45*t**5. Factor w(f).\nAnswer: 2*f**2*(f + 1)*(5*f - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -52963, -45818, -38671, -31522?\n\"Answer: d**2 + 7142*d - 60106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 1079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 11059*u\/2 - 1843\/2.\nAnswer: -(u - 1843)*(6*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 252, 515, 786, 1071, 1376?\n\"Answer: w**3 - 2*w**2 + 262*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/6661 or 0?\nAnswer: -33\/6661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*v**3 + 57*h*v**2 + 2407*h*v - h - 26*v**3 wrt v?\nAnswer: -6*h*v + 114*h - 156*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 243 = 2*v. What is the smallest common multiple of 30 and v?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*2\/(-84)*((-22624)\/(-256))\/(-101)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 636 by -6.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 5 (c) 0.27 (d) 792\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104061 is divided by 1577?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2100 divided by 473\nAnswer: -2100\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1700 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n - 12 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t + 5*t + 2*t**3 - 3*t + t**4 + t**4 to the form s*t**4 + h*t + m*t**2 + w + l*t**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 11*q + 2. Let c be p(11). Let y be (15\/12)\/(c\/24*-3). Let l(m) = m**2 + 4*m + 2. Determine l(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let o = 20255 + -20253. Let m(w) be the first derivative of -36 - 2*w - 7\/2*w**o. Determine m(i(a)).\nAnswer: 7*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-2))\/(-1 - (-16780)\/16792) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2052015 (base 7) to base 3.\nAnswer: -110121012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.120142 millennia in centuries?\nAnswer: 51.20142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-705)\/(-6))\/(9\/(-18)). Let x = g - -246. Solve -4*b - x = -31 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 7020.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1956\/11 or -177?\nAnswer: -1956\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 15. Suppose -138*w - 10 = -143*w. What is the third derivative of 3*a**2 - 9*a**y + 6*a**w - 5*a**2 + 3*a**5 wrt a?\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1518 divided by 3.\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 22950 - (-11 + 5). Suppose -i = -24*c + 59818. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1324\/9 or 199\/2?\nAnswer: 199\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-579)\/15 + -6 - (-4)\/(-10). Let d = 36 + l. Let f be d*(-7)\/294*4\/3. Put f, 3\/5, -10 in descending order.\nAnswer: 3\/5, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12334832669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + q - 335 = -5*y, 25 = -5*y. Let f = -26 - q. Calculate the greatest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41137\/4476 + -40\/373. Suppose 1 = 2*c - 1. What is the common denominator of u and c + (-22)\/16 - 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5 + 1 + sqrt(637))**2 + sqrt(637) + (sqrt(637) - (-1 + sqrt(637))*-3 - sqrt(637)) + sqrt(637))*5.\nAnswer: -105*sqrt(13) + 3230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6811244*h**2 + 7001979*h**2 + 191762*h**2 + 4960809*h**2.\nAnswer: 18965794*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 31.4?\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/574 and -61\/410?\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 204087?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 5*z + 5. Suppose 3*i + 0 = 4*l - 27, -34 = -5*l + 4*i. What is the hundreds digit of n(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {h: 3, c: 3, r: 5, q: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 j when four letters picked without replacement from {j: 4, a: 16}?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o**3 + 6*o - 6. Let d be 25*4\/20 - -1. Let i(p) = -13*p**3 + 11*p - 11. Determine d*i(n) - 11*c(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*v - 22*v + 7*v in the form o*v + y and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -318?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 10 + 23. Suppose -3*o + 3*m - 26 = -8*o, -z = -3*o + 4*m. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 3*p - 33 + (-1 - 4*p + 0 + 3*p)*(4 - 5 - 3 + 4 - 1 - 2 + (-3 + 1 + 0)*(-5 - 1 + 4)) in the form z + v*p and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 6:59 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nen when three letters picked without replacement from ennnnnnznneznennnn.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5805 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 8*w - 8. Let c be o(-7). Let l = -3 - -5. Let k be (4 - 3) + -2 + l. What is the biggest value in c, -1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - -2) + -4 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/2)\/2)\/((-4)\/((-480)\/15))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = u - 96. Let s = -340 + u. Let t = -78 - s. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92987000 to the nearest one million.\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13325 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/25 of a meter?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 5:43 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-6)*(-4)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32349\/(-1476))\/263*1428.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k + 2*k - 14 + 14.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - m + 6*m - 3*m)*(-2 - 4 + 4)*(-170 + 40*m + 170) to the form z + a*m + y*m**2 and give y.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 4. Let c(g) = 2*g - 8. Let d(z) = -2*c(z) - 5*w(z). Let j(r) = -1. Let v(o) = o**3 - 7*o**2 + o + 32. Let k be v(6). Calculate k*d(l) - 6*j(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2736\/7, -0.02, -5, 5, 0.3 in decreasing order.\nAnswer: 2736\/7, 5, 0.3, -0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72246 and -5.04.\nAnswer: -364119.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*q - 21. Suppose 16 - 6 = -5*x + q*n, 0 = -4*x + 3*n - 13. Let w(l) = -44*l - 7. Is w(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:50 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*a = 197*a + 198*a - 12*h + 64, 3*a = -h - 44 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67088 = 7802*s - 340158 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -15, -4, 7, 18?\n\"Answer: 11*o - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*y - y + 816 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -4\/3, 64, 3, 486\/109?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -233.735043 - 22.\nAnswer: -255.735043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 10, -5, -0.2, -4, 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 0.2, -14\/3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**3 + 4*g**2 + 2*g. Let a(i) = 13*i - 5*i + i**3 - 2*i + i**2 - 5*i. Let w(t) = 20*a(t) - 5*x(t). Find the second derivative of w(q) wrt q.\nAnswer: -60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 12 = -2*q. Solve 2 = -2*f + 2*t, q*f + 2 = 4*t - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3908, -3909, -3910, -3911?\nAnswer: -3912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2 + 1566*t + 214299. What is f(-103)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -105? (a) 4 (b) 7 (c) 0.32 (d) -0.05 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 7 = 5*z - 3, 0 = z + 5*w + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c - 19 + 8*c + 11*c - 3.\nAnswer: -2*c - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-3 - 8\/(2\/(-1))). Suppose x*j = -10*j + 110. What is the remainder when 52 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 413640 and 153200.\nAnswer: 4136400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 12*u - 25. Let y be k(7). Let p = y + -56. Let n = 1 - 1. Solve 5*r + 25 = n, c - 12 = 5*r - p*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:43 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79.026 + -0.026. Let g = h - 69. Which is the nearest to 1\/2? (a) g (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/11 - 137428*d**2\/11 + 2401093760*d\/11 - 125289028800 = 0. Calculate d.\nAnswer: 594, 34060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64.6 and 2161.5.\nAnswer: -139632.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -196, -387, -580, -775, -972?\n\"Answer: -i**2 - 188*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -114*l - 37. Suppose -v = -14*v - 78. Is 41 a factor of m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -12 + -10 + 56\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 3*y. Let x(c) = 2*c**2 + 5*c. Let w(g) = 5*k(g) + 3*x(g). Let a(n) = 2*n**2 + 2*n**2 - 5*n**2. Calculate w(a(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3216\/54 + 12\/27. What is the greatest common factor of 192 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405844 divided by 351461?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/4 + 16*b + 975\/4 = 0.\nAnswer: -39, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45040 is divided by 2955.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 11*b + 7. Let c be l(10). Let v be c\/(-2) - (-1)\/2. Let p be 47\/4 + (-2)\/v. Solve 0 = f + 3*f - p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24c7 (base 13) to base 11\nAnswer: 3a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a century in months?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*t**2 - 53 + 23*t**2 + 285 - 170 - 62.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1899 = -3*d + 2*z, 5*d + z = 2*d + 1890. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 2. Let a(t) = -3*t + 3. Let d(g) = 3*a(g) + 5*i(g). Let v be d(-3). Let j be ((-6)\/v)\/((-1)\/(-2)). Solve -2*f - j*f = 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1697513ml in litres?\nAnswer: 0.0001697513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 656*s**7\/105 - 281*s**5\/30 - 521*s**2 + 2*s. Find the third derivative of c(o) wrt o.\nAnswer: 31488*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -36*o - 338. Give r(-8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 69, 5, 42325, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/7, 132, 2\/33, 4 in ascending order.\nAnswer: -2\/7, 2\/33, 4, 5, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*c - 8*c + 5 - 13*c - 12*c + c**4 + 5*c**3 in the form i + y*c**2 + a*c**3 + o*c**4 + l*c and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1819*d**3 - 2007*d + 49601442 wrt d?\nAnswer: -5457*d**2 - 2007","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 20 = 4*b - 25, -5*q - 2*b + 28 = -4*b + 57 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - 309 + 309.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -18198 at most as big as -18201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfjfs. What is prob of sequence snf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 0)\/(2\/(-4)). Let n(r) = -10*r. Let b be n(-3). Suppose 4*x - d*x + b = 0. Solve -5*a - x = -0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kllt when four letters picked without replacement from {t: 1, m: 2, k: 2, e: 4, q: 1, l: 2}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2675769?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891136 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 6. Put s, -1\/5, -5 in decreasing order.\nAnswer: -1\/5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c**2 + 22*c**2 - 21*c**2.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -23. Let m = h + -5. Let k be (2240\/(-490))\/(4\/(-14)). Calculate the highest common divisor of m and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 6*j - 4*j)*(-9 + 4*j + 9) - 4 + 19*j**2 + 1 - 21*j**2.\nAnswer: -14*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*p + 146*p + j = 191019, -5*j + 191035 = 5*p. What are the prime factors of p?\nAnswer: 11, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1778516.7 - 1746855.032. Let k = r + -31612.668062. Let c = -49 + k. Round c to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/5 and 52 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 126759\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*d - 55 - 31 = 0, 2*j + 3*d - 56 = 0. What is the third derivative of -19*s**4 + j*s**4 - 5*s**2 + 16*s**2 wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78168 divided by 6514.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 217*z - 8413. Let b be x(140). Which is smaller: b or 2363?\nAnswer: 2363","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 6795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 20.71 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 10 = -v + u, 0 = 2*v - 3*u - 4. Let k be (-1 - 0)*(-2)\/4. Factor -k*c**2 + v*c - 2.\nAnswer: -(c - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 734*q**3\/3 - 1988*q**2\/3 - 1264*q = 0. Calculate q.\nAnswer: -474\/367, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 49*k**2 + 4*k - 2. Suppose 3*c = -18*q + 22*q - 20, -6 = -q + c. Let y be u(q). Round y to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -10 - 2. Suppose 0 = y*u - 20, -4*u - 8 = -3*n + 2*n. What is the remainder when n is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.5 and 4.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8405\/7 + 1201. Put s, -2, -69 in decreasing order.\nAnswer: s, -2, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124*j**4 - 189*j**3 + 189*j**3)*(-2 + 2 + 2*j).\nAnswer: -248*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (19 - 20)) + (-6 - (-1 + -60)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*g = 1296, -4*g = g + 30. Solve -r = 4*m - 309 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 8:53 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6368 + 12026. Calculate the highest common divisor of f and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 66.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 18*r - 167. Let g be a(27). What is the highest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -46*z + 42 + 155*z - 58*z + 8 - 57*z. Determine o(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -34. Let j(n) = -5600000*n**3 - n - 1. Let x be j(f). What is x rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.02, 0, -3.\nAnswer: -5, -3, 0, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 6. Let s = -88 + 349\/4. What is the third biggest value in o, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = 33*g - 30. Suppose 0 = g*u - 20. Let t be 1\/u + 1\/(-4). What is the second biggest value in 2, -1, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7*z = 53*z - 952. Solve -z*a = 231 - 231 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -40*x**2 + 3*x. Let g(b) = -31942*b**2. Give z(g(m)).\nAnswer: -40811654560*m**4 - 95826*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 476140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -61. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25166859?\nAnswer: 3, 8388953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3355 - -1234000?\nAnswer: 1241355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*x**3 + 4\/3*x**2 + 0 - 2\/3*x = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6*7 - 36\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15575, 31223, 46945, 62741?\nAnswer: 78611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*n - 3*u + 200, 5*u = 5*n - 200. Let c be (12\/(-8))\/((-6)\/n). What is the highest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/5*z**2 - 4*z**3 - 4\/5*z**4 + 0 - 16\/5*z.\nAnswer: -4*z*(z + 1)*(z + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let v be c(4). Let k = -10 - -14. Suppose b - 1 = k*w - 3, 3*w - 9 = 0. Solve 0 = v*j + 2 + b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -8\/5 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(1 - -1))\/(3\/9). Let n(l) = 977*l**2 + 2*l**h - 1 - 971*l**2 + 5*l - 3*l**3. Give n(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*k**2*o**2 + k**2 - 7098*k*o - o**2 + 41679*o - 1 wrt k?\nAnswer: -12*k*o**2 + 2*k - 7098*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3162, -6339, -9516, -12693, -15870, -19047?\nAnswer: -22224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 1:12 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785873725 a multiple of 1163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 57 - 15. Let o = -53 - -74. Let h = l - o. Let d(b) = b - 10. Calculate d(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 942556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmbqqm. Give prob of sequence qb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4249.914t to micrograms.\nAnswer: 4249914000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193772 <= 193770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2527\/(-19))\/7*(-24)\/32*4\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6385.455 hours?\nAnswer: 22987638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 18*j**2 - 6*j - 28. What are the prime factors of a(17)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 4:27 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:19 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35 and 0.5.\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)\/i**(-5)*i**0\/(i*(i\/((i**(-4)\/i)\/i))\/i))\/((i\/i**(1\/2))**7\/(i**(-5)\/i**(-5))) assuming i is positive.\nAnswer: i**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 596 and 691211.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -42658*s + 42706*s + 1 + 0. What is v(1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -0.015 (c) 3 (d) -1\/4 (e) -16 (f) 79\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 4*h**2 + 4*h + 2. Calculate l(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j = 62*j + 203 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -1b0?\nAnswer: -1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 118 = 116, 2*o - 4*n + 10 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:42 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132\/5 + -26. Which is the closest to -0.1? (a) x (b) 1 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102037 and 132834.\nAnswer: 1042614066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t**2 + 51*t**2 - 21*t**2 + 2*t**2. Let f(h) = -h**2. Calculate f(n(q)).\nAnswer: -1681*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-3 + 1)) + (-18 - (12 - (-1104)\/(-36)))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5445) - (sqrt(5445) - (sqrt(5445) + sqrt(5445)*-1)*4))\/(((sqrt(72) + (sqrt(72)*-2 - sqrt(72)) + sqrt(72))\/sqrt(8) - sqrt(9)) + sqrt(81)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)\/t*t*t**(-2\/15))\/(t**(-2\/9)*t*t\/(t*t*t\/(t**(-6)\/t)*t*t)) assuming t is positive.\nAnswer: t**(3268\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 2*t - 7. Let g be u(-5). Let d = 32 - g. Suppose 5*v - 64 + d = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00057 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -89, -131?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 63. Suppose i = 7*p - 1 + 1. Suppose -2\/3*w**3 + p*w + 4\/3*w**4 + 0 - 2\/3*w**5 + 0*w**2 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 14*v + 15*v + 12 = 0, 0 = -v + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Suppose 5*n - x = -2*d, -4*n - 3*d - 12 = 2*d. Let j = 4 + n. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -269?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26469, -26465, -26451, -26421, -26369, -26289, -26175?\nAnswer: -26021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**2 - 8*p + 4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8450 - 8450 - 828001*k.\nAnswer: -828001*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (9 + 5 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 108. Suppose -f = 3*f - 4*s - 224, -f = 4*s - 71. What is the remainder when f is divided by b(31)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*o - 69. Suppose o = 6*q - 2*q + 4*g, 3*q - 2*g = 32. Suppose 0*n - q = -2*n. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 290*b**2 - 5*b + 6. Let c be t(-6). Is (-6)\/8 - c\/(-144) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1663152 + 204?\nAnswer: -1662746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(704)*3)**2 + -1 + (sqrt(396) + -3)**2.\nAnswer: -36*sqrt(11) + 158804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 155746*x**2 - 20475 wrt x?\nAnswer: 311492*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -55. Suppose 0 = -3*p, -p = -3*n - m*p + 477. Is 33 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:22 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 2*y + 20. Let k be (y\/(-6))\/(3\/396). What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s**5 - 52*s**4 + 1956*s**3 - 6116*s**2 + 3052*s + 1176 = 0. Calculate s.\nAnswer: -14, -1\/4, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 d when four letters picked without replacement from {k: 1, d: 1, w: 1, h: 2, q: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, 4\/7, 2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*-1*1 - 2*(1 + sqrt(1539)) - ((-4 + sqrt(1539)*1 + sqrt(1539) - sqrt(1539)) + -5))*-1)**2.\nAnswer: -504*sqrt(19) + 24673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 4 - 4 + (2*a + 0*a - a)*(a**2 - 5*a**2 + a**2).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -48\/5, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33241 is divided by 16571?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1084)\/1897 + (-785)\/525*-6)*100\/14.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - -2*sqrt(104)*-6 - sqrt(104))\/(sqrt(392)*1) + -1)**2 - ((sqrt(52)\/sqrt(64))**2*6 + (1*sqrt(117)*-1)\/sqrt(9)).\nAnswer: 31*sqrt(13)\/7 + 13457\/392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b - 312 = -23*b. Let x = 177 - b. Suppose -3*k - 73 = r - 6*r, 0 = 3*r - 4*k - 46. What is the remainder when x is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 5*w - 9, -3*u + 2*w = 3*w + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 559660795 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**3\/2 - 9*k**2\/2 - k. Let d be i(4). Solve -d*j - 5*v - 5 = 2*j, 5*j - 2*v + 33 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(66\/11))\/((-8)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.73 + -42.63. Let f = d + 39.6. What is the nearest to -0.3 in f, -3, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 0*i = -i, 5*x - 2 = -2*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 5*d + 2. Let n be i(-5). Let c(f) be the second derivative of 0*f**3 + 1\/2*f**2 + 0 - 1\/12*f**4 + n*f. Determine x, given that c(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1628 + 1628. Let x(t) = 8*t - 83. Give x(p).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.826 - 0.174. Is z greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11 - 14*b - 17 - 12 - 2*b**2. Let p be k(-5). What is the second derivative of -50*m - 3*m**5 + p*m**5 + 20*m + 12*m**5 wrt m?\nAnswer: 220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 2*u**2 + 5*u - 4. Suppose -68*b + 153 = 111 - 230. Determine t(b).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9018893 + 0*a**3 - 9018893 + 4*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2)\/2*34\/986*-29?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-40)*2)\/(4\/(-4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*sqrt(2) + sqrt(12)\/sqrt(24).\nAnswer: 19*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8578.941km to meters.\nAnswer: 8578941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27556 + 27556. Let i(j) be the third derivative of n + 11\/9*j**4 + 242\/9*j**3 + 27*j**2 + 1\/45*j**5 + 0*j. Factor i(s).\nAnswer: 4*(s + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqdd when four letters picked without replacement from {i: 2, q: 2, o: 4, d: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c - 2*c + (2 + 0 - 3)*(6041995 + 11548*c - 6041995))*(3 - 7 + 3).\nAnswer: 11549*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12901b (base 14) to base 7\nAnswer: -5302034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**16)**(4\/11)\/(x**(-14))**(-12\/7) assuming x is positive.\nAnswer: x**(-200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l**(-3)*l))*l*l)\/l)\/(l*l*l*l**(10\/9)*l*l))**2\/(l**(-2\/9)*l**(7\/4)*l)**(-5\/4) assuming l is positive.\nAnswer: l**(-177\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Suppose -45 = l*g - 0*g. Let a = -10 - g. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 18. Let s be c(0). Calculate the greatest common factor of s and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 + 10*n**2 + 8*n - 8. Let k be i(-2). Sort k, 6, -5, -6.\nAnswer: -6, -5, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i + 4*i - 23 - 11*i. Let p be r(-11). Let k = p + -25. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 10:39 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744408.\nAnswer: 2, 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r - 192 = -302. Solve 0 = r*x - 11*x + 36 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 1. Let a be b(5). Let d(m) = -m**3 + 9*m**2 - 7*m - 59. Let o be d(6). Solve -a = -f - o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*g - 63*g - 80 + 163. Sort g, -2, 5, -4, 2 in decreasing order.\nAnswer: 5, 2, g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177296.\nAnswer: 2, 3, 24527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*h - 5 = -n + 239*h, 0 = 2*h - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (65\/70 - 4\/(-7)) + -1. Factor 0*q + 0 - q**2 + 1\/2*q**4 - x*q**3.\nAnswer: q**2*(q - 2)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14092 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.682 - -0.4.\nAnswer: -1.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.338 - 3.662. Let n = 0.081 - 0.581. Sort 0.01, n, -1\/4, p.\nAnswer: p, n, -1\/4, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51*c**2 - 6*c + 1169?\nAnswer: 102*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6462 divided by 9.\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112\/11*g**4 + 12\/11 + 10\/11*g - 10\/11*g**3 - 124\/11*g**2 = 0. What is g?\nAnswer: -1, -2\/7, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2046 divided by -341?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-2)*4\/2. Let f be (-155)\/(-2)*(-2 - 112\/(-35)). Let a = f + -95. Sort -5, z, a.\nAnswer: -5, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 68*w + 536. Let h be c(59). Let a = 41 - 21. Suppose -3*r + a = 2*r. Solve x + r*x = -h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 132\/2*60\/72. Calculate the highest common factor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*h - 12 + 29, 3*l - 31 = -5*h. Solve 0 = 4*r - j - 10 + 5, -3*r - j + l = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8204*p. Let q(z) = -410*z. Calculate k(q(o)).\nAnswer: 3363640*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27684293 divided by 91?\nAnswer: 304223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10335 by -3.\nAnswer: -3445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 35 = 5*m + 3*n, -n - 23 = -5*m. Suppose -j = u, 3*u - m*u = -5*j. Let q = -2.8 + 3. Put q, u, -1\/2 in descending order.\nAnswer: q, u, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 68, 98, 156, 248, 380, 558?\n\"Answer: p**3 + 8*p**2 - p + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3902788 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1717153 and -0.3.\nAnswer: 515145.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 45 = -14*z. Round z to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + 0 + ((1 + sqrt(117)*1)**2 - (sqrt(117) + (sqrt(117) + 1 - sqrt(117)) + -5 + sqrt(117) - sqrt(117))**2) + 5).\nAnswer: -15 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*j = 205*j - 588222. What are the prime factors of j?\nAnswer: 3, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10422*-0.038813\nAnswer: 404.509086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1080)\/(-32) + 8)*10*2?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*m + 285 = 0, m = -5*v + 95 + 184. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16750, -33469, -50188, -66907?\n\"Answer: -16719*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from bebiyyibyiyii?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n - 5. Let b(l) = -5*l - 2. Let c(i) = -5*b(i) + 2*v(i). Let g(j) = j**2. Give g(c(w)).\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -60, -71, -80, -87, -92, -95?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 26 = -26. Suppose x = a - h + 3, 3*a = 4*h + 68. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 4:47 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (38\/(-10))\/(14\/(-70)). Solve -35 = p*g + 22 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 + 5 - -23 - (-11 - -17))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 208 + -208.389. Let g = b + 0.38517. What is g rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24293713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -83*g**3\/6 - 5*g**2\/2 + 6*g + 13. Let d(x) = -3*x**2 + x + 2. Let z be d(2). Is f(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-2)\/10)*(-15117)\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k = j + 1237, -20904 + 20944 = -2*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -5 (b) -6 (c) -1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 13880*b**2 + 2335*b - 13880*b**2 + (-b**2 + 5*b**2 - 2*b**2)*(2*b**2 + 1 - 1).\nAnswer: 3*b**4 + 2335*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*p = 5*p + 732, -u = p - 239. Is 242 != u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -36, 4, -1, 848, -4 in descending order.\nAnswer: 848, 4, -1, -3, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**5 + 1867*b**3 - 7604671*b wrt b?\nAnswer: -80*b**3 + 11202*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 6:07 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 40\/229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-4 - 0) + 1774. Suppose 0 = 4*s + 5201 + b. Let h = s - -7017\/4. What is the common denominator of -85\/4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 54. Let m(n) = -n + 1. Let o(x) = -111113*x**2 - 4*x - 3. Let h(q) = 2*m(q) + o(q). Let k be h(t). What is k rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 118, 204, 310, 442, 606, 808?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43642 - 24599. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 5664 = 1884. Let t = o - 121. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**9*f**(-2\/5) assuming f is positive.\nAnswer: f**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 7. Suppose 15 = -2*j + v*j. Which is the nearest to -0.1? (a) 1 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 5. Let y be c(0). Suppose -3*k - 28 = -y*k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 - 528*y - 23232 = 0. Calculate y.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*u**3)*(-3 - 5 + 0) + (527*u - 1119*u + 2564*u)*((-1 + u + 1)*(-3*u - u + 2*u) + u**2 + u**2 - u**2).\nAnswer: -1988*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-2430)\/(-140))*12\/14.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1434, -361, 4.\nAnswer: -1434, -361, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -296, 0.2, 2\/251, 1\/2?\nAnswer: 2\/251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*c - 206, -2*h + 5*c - 265 = -7*h. Suppose -4*a - 1244 = -1356. Suppose -80 = 24*d - a*d. What is the highest common factor of d and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*v + 7*j, -2*j + 53 = 3*v + 51. Sort -158, v, -5.\nAnswer: -158, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 4*x + 2. Let c be -2 + 5 + 6\/3. Does 3 divide z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 5 - 29. What is the greatest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, e: 3, f: 4, k: 3, n: 6, a: 1}. What is prob of picking 3 e and 1 k?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*c - 38*c + 186*c.\nAnswer: 312*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-216)\/(-9408))\/(6\/8))\/(420\/(-560))?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12261216.\nAnswer: 2, 3, 11, 17, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -8, -4*p - 4*r + 0 = -16. Suppose 3 = -c, -2*y + p*c - 6*c - 48 = 0. Which is bigger: -30 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1404, 2971, 4842, 7167, 10096, 13779?\n\"Answer: 25*k**3 + 2*k**2 + 1386*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1526 + 501 + 524 - 116*p + 501.\nAnswer: -116*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + 0.23. Let m = d + -0.05. Let y be 3*((-6)\/4 + 1). What is the closest to 0 in m, -3\/5, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -440c0 (base 16) to base 7\nAnswer: -2240411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9927 - 2?\nAnswer: -9929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 2, 10 = 4*q - o + 3*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1)*w))**22\/(w**(-2\/3))**49*(w**2*w\/w**(-2\/15))\/(((w**1*w*w)\/w)\/w*w*w\/(w**(-7)*w)*w) assuming w is positive.\nAnswer: w**(239\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.68 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 - 1. Let w = r - 0.6000001. Round w to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 5, -1.\nAnswer: -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.04647 + -16256248.62\nAnswer: -16256248.57353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-8)*(-5)\/(700\/40)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 1, a: 1}. What is prob of sequence ag?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 17*i**2 - 10*i - 148. Calculate a(17).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 7 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6085811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12485 (base 12) to base 4.\nAnswer: -12010211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522610361?\nAnswer: 7, 13, 103, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47904631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.188 - -0.088. What is the nearest to -3\/8 in 2\/11, w, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -20, -13, 2?\n\"Answer: 4*k**2 - 13*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 37879369*m**2. Let o(x) = 11*x**2. Calculate k(o(s)).\nAnswer: 4583403649*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*c - 2\/3 + c**2.\nAnswer: (c + 1)*(3*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1000*w + 995*w + 5*s + 145, -3*s = 3*w + 57 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from ezzzm.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11269 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1986 divided by -589?\nAnswer: 1986\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 4*d - 3*d)*(4 - 3 + 0) - 3*d + 3*d + 3*d - 7 + 8*d + 7 - 74*d + 15*d - 187*d in the form n + j*d and give j.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -13\/72*j**4 - 169\/36*j**3 - 1\/360*j**5 - 17*j + 0 + 4*j**2. Find n such that u(n) = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99337 + 1727.93051?\nAnswer: 101064.93051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 283833, 567746, 851659?\n\"Answer: 283913*x - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2071, -3048, -5647, -10678, -18951, -31276, -48463?\nAnswer: -71322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4376*l + 2368*l + 2326*l.\nAnswer: 318*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9566561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 81077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48103 and 86878391.\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 6. Let x be d(4). Let q be -3 - (4 + -10 - -3). Solve q = 3*y - y + x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1121, 1023, 859, 629, 333?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8351, -16709, -25069, -33431, -41795, -50161?\nAnswer: -58529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0*c**6 + 0*c**5 + 0 - 7\/6*c**3 + 0*c**4 + 2\/105*c**7 + 0*c + 2*c**2. What is the first derivative of f(i) wrt i?\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2683.6854 and 946342?\nAnswer: 949025.6854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2\/9 + 10*x\/9 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + 1. Let p be x(2). Suppose p*o - 9*o - 100 = 0. Solve 5*d - o = -3*z + 1, z + d = 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 - 76\/(-16). Suppose 2*s - 3 = -f - 1, 4*f = -4*s + 8. Solve l*w = r - 21, 3*r = -f*w + 6*w + 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*m + 9*m. Let r(y) = 4*y**2 - 10*y - 1. Let g be r(m). Put g, 5, 2\/11, -1 in descending order.\nAnswer: 5, 2\/11, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5860 = 4*a, a + 3*v - 7*v = -1465. Let l be (a\/(-2))\/(3\/150)*8. What is l rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 r when four letters picked without replacement from iiririiiirriririii.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 23*q + 4. Let g be t(2). Let r = 22 - g. Is (-2)\/7 - 1044\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5196, -10398, -15606, -20820, -26040, -31266, -36498?\nAnswer: -41736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -128\/37, -5\/6, 75 in ascending order.\nAnswer: -128\/37, -5\/6, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30247)\/70924 + 2\/8?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5*x - 11, 4 = -0*x + 2*x. Let k = i + 23. Solve -l = -2*s, 0*l + 6 = -s + k*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68*2220\/(-1665)*(-6)\/16*-1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*10.196.\nAnswer: -81.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19040746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*u = 5*u - 19, u = -2*j + 9. Let v(o) = -17*o**3 + 3*o**2 - 2*o. Let w be v(j). Let l = w + 189. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/377214 and -61\/20?\nAnswer: 3772140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 368*i**6\/15 + i**4\/24 - 1555*i**3\/2 + 7079*i**2. Find the second derivative of s(v) wrt v.\nAnswer: 17664*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c - 2. Let q be r(-2). Suppose 0 = 4*j - q*b - 36, -b = 4*j - 0*b - 31. Does 10 divide 18\/j*80\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*l**2*z**3 + 4*l**2*z + 6*l**2 - 49*l*z**3 - 6*l*z**2 + 37*l*z + z**2 wrt z?\nAnswer: 60*l**2*z - 294*l*z - 12*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1141*u - 1159*u + 2 - 2. Let l(j) = j. Give q(l(a)).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -333.642 + 0.642. Let f = z + 337. Sort -4, 2\/15, f in increasing order.\nAnswer: -4, 2\/15, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -7, 111, -0.4, -2, -455?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 110*b + 30. What is x(-1)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 18*x - 59. Calculate z(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/7 (b) 0.2 (c) -6 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 11:26 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17\/526, -0.2, -1.9 in increasing order.\nAnswer: -1.9, -0.2, 17\/526, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Let f be 2 - g\/((-2)\/2). Solve -6 = -0*a - f*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-24)*30\/(-20). What is the nearest to -4 in d, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(7) + sqrt(5) + sqrt(35)\/sqrt(63))*6.\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2964 divided by 45241.\nAnswer: -2964\/45241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 513013064 to the nearest integer?\nAnswer: 22650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -6, 2, 140\/13, 1\/3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55710371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, w: 3, y: 7, p: 2}. Give prob of picking 1 w and 1 t.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 1\/10 (c) -3 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -157c2 (base 15) in base 2?\nAnswer: -10000111010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2398, -2384, -2354, -2302, -2222?\nAnswer: -2108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5415 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 35059622.\nAnswer: -7011924.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 59985 = -0*m - 5*r, 2*r + 47992 = 4*m. Suppose -m = z + q, -5*q = 4*z + 25639 + 22356. What is z rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 8:01 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/8 + 44047*z**2\/2 - 528571*z\/8 + 176191\/4 = 0. What is z?\nAnswer: -176191, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 6420*c**2 + 401940*c.\nAnswer: 5*c*(c + 66)*(c + 1218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + 9*h**2 - h**2)*(h**3 + 0*h**3 - 2*h**3) + 3*h**5 + 3*h**5 - 7*h**5 + h**5 + h - h + (-5*h**5 + h**5 + 2*h**5)*(0 - 3 + 1).\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**2*i**2 + 49*g**2 + g + 93*i**2 + 6*i wrt g.\nAnswer: 4*g*i**2 + 98*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 5) in base 13?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6132, 40371, 130852, 305697, 593028, 1020967?\nAnswer: 1617636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 566 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhzh when four letters picked without replacement from hfyyhz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83487791 is divided by 1081.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 131992682 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142870490 rounded to the nearest 1000000?\nAnswer: -1143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 207 - 11*r + 23*r + 196*r**2 - 12*r wrt r?\nAnswer: 392*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 17*t + 38. Calculate o(-16).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 269 - 214. Suppose 13*z + 24024 = c*z. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127 - (54 - -26) - -104\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4004266 is divided by 667377?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, 7, -600 in increasing order.\nAnswer: -600, 7, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 48. Suppose 4*b - 9 = -g + 45, r = 2*b + 2*g. Let x = b - 7. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**4 + 486748*r**3 + 3145118 wrt r.\nAnswer: 8*r**3 + 1460244*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-2*24)\/(34 - 36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**8\/1344 + w**5\/60 + 19*w**4\/24 + 2*w**2 + 8. Let q(t) be the third derivative of p(t). Let v(z) = 11*z**2. Give q(v(g)).\nAnswer: -1815*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/3 + -1)*(-26 + 51 - 34).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 + -3 - (-5 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(26\/9)*32\/48.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 389271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 630423 - 4?\nAnswer: 630416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-20976)\/(-11776))\/((-15)\/40)\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - v + v**4 - 2*v**2 - 3*v + 2*v**3 - 3*v**2 as h*v + m*v**3 + n*v**2 + u*v**4 + r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101323068.\nAnswer: 2, 3, 7, 11, 53, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 88808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**5\/60 - 2*a**2. Let k = -385 + 560. Let t(q) = 188*q + k*q - 356*q. What is t(y(f))?\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 534*y**2 - 7388*y + 9719586?\nAnswer: 1068*y - 7388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2. Let p(x) = -x**2 - 1. Let m(w) = 6*w**2 + 5. Let u(b) = 2*m(b) + 10*p(b). What is z(u(h))?\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53192 is divided by 6629.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/(w\/w**(2\/15))*w*w)*w*w\/(w*w**(-3)))\/(w*w**(-3\/4)*w\/(w\/w**(1\/2)*w))*(w**(-1))**(-34)\/(w\/(w\/(w*w**0)))**(-4) assuming w is positive.\nAnswer: w**(2347\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 42.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 740 + -380. Is f a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -12. Let u = 70 + -66. Solve -20 = -r - 5*d, u*d - c = -5*r + d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299269 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 l be -3 + (-234)\/42 + 2. Let k = -269\/42 - l. Solve 4\/3*y + k*y**2 + 8\/3 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.1 - -24.1. Let k = 3.6 - p. What is the nearest to 2\/9 in -2\/13, 5, k?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**3 - 2*o**2 + 3*o. Let a(q) = 5*q**3 + q**2 - 2*q. Determine -6*a(x) - 4*i(x).\nAnswer: -14*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579466 a multiple of 994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2467\/5 - -491. Let j = w - -14\/5. Are 43 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1820*h + 881*h + 34840 = -614*h - 845*h for h.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 + 8*w - 8*w - 3*w**2 + 10*w**3.\nAnswer: w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 o, and 1 m when four letters picked without replacement from {o: 2, i: 2, m: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - n + 4. Let i be x(0). Suppose -c = -11 - i. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = 5348 + 2972. What is r rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689.964 kilograms to tonnes.\nAnswer: 0.689964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35823?\nAnswer: 3, 11941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:13 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -614?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 2. Suppose 3 = -z - 5*d, 4*z - 18 + u = 4*d. What is the third derivative of 3*k**z + 3 - 6*k**2 + 2*k**6 - 3 wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59 + 16?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5620535 - 2456?\nAnswer: 5615046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 142 - 143. Calculate the lowest common multiple of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-318)\/53*2\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -537, -1042, -1549, -2058, -2569, -3082?\n\"Answer: -t**2 - 502*t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 46.6. What is the nearest to -0.1 in q, 0.13, -3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 106793 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-9))\/(4\/12). Are -4 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5071 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*b = -0*b, 2*b = 3*p - 72 + 51 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.22, -2\/5, 1, -1\/5, 2\/189, -1\/25?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-24)*44\/(-33)*-2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/47619130 and -5\/38095304.\nAnswer: 190476520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 146\/140079?\nAnswer: 146\/140079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 7*r + 25. Suppose r*u = 1 - 21. Let n(y) = y**3 + 5*y**2 + y - 5. What are the prime factors of n(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31100558.99999936 + 31100511. Let v = 91 - 43. Let g = v + c. What is g rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100212 - 222022?\nAnswer: -322300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 464 = -4*f - 4*q, 4*q = -20. Round f to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-4)*3\/6*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022324 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.39*11.\nAnswer: -136.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 4. Let c(m) = -m + 3. Let z(h) = -6*c(h) + 4*x(h). Let p be z(-3). Calculate the greatest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15987238 (base 10) to base 13.\nAnswer: -3409b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(2504*w**5 - 4306*w**5 - 7155*w**5 + 0*w**2 - 2*w**5 + 0*w**2 + 3*w**3 - 3*w**3 + 2*w**5 + (w**3 - 4*w**3 + w**3)*(-w**2 - 2*w + 2*w)).\nAnswer: 17910*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 - (1 + (-445)\/70) and -1 + 202*4\/160.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 1 + 167*z**3 + 108*z**3 - 273*z**3 + 34*z**2 in the form y*z + u*z**3 + t*z**2 + a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -28. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 79 + (-1 - 2 - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (5 - 15) + (19 - 15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/10*(-3 + 23\/9).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 2:59 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-34)*16\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 42. Let t = -19 + x. Suppose 160 = 5*q - 0*a + t*a, 8 = 2*a. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(210\/(-84)*(-4)\/(-170))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, u: 2, r: 1, z: 3}. What is prob of picking 2 y and 2 z?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-12)\/28*(4\/(-3))\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -49 - -37)*-1 - -91.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 12 + 193*o**3 + o - 194*o**3 in the form n*o**2 + s + m*o**3 + v*o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 - 121*v + 727\/6.\nAnswer: -(v - 1)*(v + 727)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 124 and 841.8?\nAnswer: 104383.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3333, -3318, -3301, -3282, -3261, -3238, -3213?\n\"Answer: v**2 + 12*v - 3346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/55*462\/(-252)*18\/(-4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3066671 to the power of 1\/2, to the nearest integer?\nAnswer: 1751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 - h**2 - 2*h - 1. Let r be o(-1). Let a(f) = -2*f + 3 - f**2 - 1 + 7*f - 5. Let p be a(r). Solve 0*v - 3*v = -p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -82 + 212 - 34 - 4*w - 65. Give d(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3793843971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 4 + (2 + 15 - (-22 + 6))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 156?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4771149 is divided by 874.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s - 5. Let b be k(5). Suppose 0 = -v - 4*f + 29, -f = -0*f + 3. Let t = v + -26. Calculate the highest common divisor of b and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134138065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 1. Let u(a) = -2*a + 50. Let m be u(25). Determine l(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -2*w**3\/3 + 3*w**2 - 3*w. Calculate o(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 249.56952887 - 350.26953298. Let m = p - -100.7. Round m to 7 dps.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -65*h. Let q be 1*(-3)\/((-12)\/(-4)). Is w(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 2 - 37\/(-1). Suppose -2*o = -o - a. Suppose -4*q - o = -2*h - 8*q, 4 = -q. Calculate the greatest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 349 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 4*c, j + 0*j - 5*c = 0. Suppose -k - 40 = -6*k - 5*o, j = 3*k + 4*o - 29. Let y = -5 - -8. Solve 5*a + y = m, 3*m + k = 2*a + a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 - -104. Solve 6*i + x*i + 24 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-25))\/(3\/((-30)\/22) - (3330 - 3331))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 3*k**5\/5 - 8*k**2 + k. Differentiate m(q) wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 1\/(-2)*4. Let c(p) = p + h*p - 3*p - 4*p. Let w(l) = 13*l**2. What is c(w(n))?\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-2)\/3)*(-98)\/98?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1899965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25017*k**2 - 9*k - 24778*k**2 + 3*k + 6*k to the form g*k**2 + a + y*k and give g.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 537086 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/33*-19 - (-1041 + 1033))*9.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 6*c + 4. What is f(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 504 and 756.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/40)\/(4\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4 = -0*q + c, 0 = -q + 3*c - 12. Suppose 20 = 7*k - 5*y + 2, 4*k + 4*y + 24 = 0. Sort 5, q, k in decreasing order.\nAnswer: 5, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1223948 (base 10) to base 11\nAnswer: -766630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**3 + 77*s**2 + 20*s + 14. Let n be t(-19). Let c(w) = 261*w**2 + 72*w + 72. Let h(m) = 18*m**2 + 5*m + 5. Give n*c(v) + 72*h(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 8 = -3*f, -5*f = 6074 - 6079 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(2*i + i - 5*i)*(-3 + 23 + 16).\nAnswer: -144*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-30))\/(28\/(-100))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -2363085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**5*v*(v*v**(-2)\/v*v*v*v*v)\/v*v**(-2\/3)*v\/(v**(-2)*v) assuming v is positive.\nAnswer: v**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 38 = -2*v - 3*u, 3*v + 5*u - 52 = 0. Let y(p) = p + 7. What is the units digit of y(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -5*h + 27, -5*h = 3*d - 6*d + 29 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 150 = -2*v, 0*v + 4*p = 2*v - 144. Let l be ((-6)\/(-10))\/((-1)\/(-5)). Suppose s + v = l*s. What is the highest common divisor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from ykyykkvfyyk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 587574 and 779402.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118122867 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836239*c**2 + 836239*c**2 - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3) + -1)\/(90 + -89)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1177*m - 49445. What is h(42)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 4. Let u(t) = -7*t - 16. Let x(c) = -22*d(c) + 6*u(c). Let w = 30 - 18. What is the lowest common multiple of w and x(12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 3*a**3 + 34*a**3 + (-14*a - 22*a + 85*a)*(4 - 12 + a**2 - 3*a + 11) to f*a**3 + m + h*a + u*a**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148642 and 704.\nAnswer: 52321984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*p = 5076 + 1172 + 3021 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/247? (a) -1 (b) -2\/17 (c) -1\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 + 25*r + 7. Give q(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 1:35 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 3*o**2 + 4*o - 7. Let k(m) = m**2 - 2*m - 1. Calculate -2*k(u) - t(u).\nAnswer: u**3 + u**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59422, -118843, -178262, -237679, -297094, -356507?\nAnswer: -415918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 814400 divided by -8\nAnswer: -101800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-40))\/(-9)*208\/4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (206 - 258) + (1 - (-6 + 10))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 99 = -286. Let k = v + -109. Are -31 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/((v*v\/v**(-5)*v)\/v)*v)))\/(v**(1\/6)*v))\/(v\/v**0)**32 assuming v is positive.\nAnswer: v**(-229\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 7*v - 4*v - 1 - 2*v + 1 + (6 - 3 - 2)*(-6*v + 4*v + v) + 6*v - 6*v + 6*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 - -117. Suppose 2*p - 5*d - 45 = -3*p, 4*p = d + 45. Let k be 1 + (-4)\/(p\/(-117)). What is the greatest common factor of k and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 - 1095\/280. Let u = p + 63\/88. Let s = 52 - 113\/2. What is the common denominator of s and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 1. Let o(j) = 61 - j - 64 - 2*j. Let c be o(7). Let l be -3 - 7\/(28\/c). Determine n(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 18, p: 2}. Give prob of sequence pdp.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**9\/252 - p**5\/15 + 3*p**2\/2 - 2*p. Let y(r) be the first derivative of j(r). Find the third derivative of y(t) wrt t.\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-134)\/(-26) - 12\/78. Suppose -h = -u + 28. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47452 to the nearest one hundred.\nAnswer: 47500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + -4 + (5 - (-17 + 49)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164640 and 2940?\nAnswer: 164640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1677 = n - 2*q, -4*n = 5*q - 2229. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3716 is divided by 618.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 141140044 (base 5) in base 6?\nAnswer: 23305411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*r = 5*h - 1, -r + 2*h = 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6*-6)\/((-546)\/52)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 133?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -17*s**2 - 13*s + 9. Suppose -38 = 4*g - 30. Let n(l) = -4*l**2 - 3*l + 2. Determine g*w(h) + 9*n(h).\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*l - 5*s, 4*l + 7*s - 2*s = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*q - 122, 4*q - q = 4*r - 258. Let i = r + -44. Suppose 5*w = -16 - i. Let a(s) = -s**3 - 6*s**2 + 6*s - 4. Determine a(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/851 and 26\/23.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from foffofoffffffff.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 264363?\nAnswer: -264356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24729 divided by 3?\nAnswer: -8243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40677572 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 8, -2660 = -339*g + 287*g + 2*d for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/6 (b) -8\/5 (c) -4 (d) 0 (e) 32301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 613\/6365 + 3\/335. What is the third biggest value in 0, -3, -14, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*y + 657, 2*y = 4 - 12. Let t = p + -106. Calculate the highest common divisor of t and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10592\/25156)\/((-28)\/5187).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5264 (base 7) to base 9\nAnswer: -2485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/13, 3\/2, -2\/17 in descending order.\nAnswer: 3\/2, 2\/13, -2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -37*h**3 + 2*h**2 - 2*h - 3. Determine u(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 97*w - 1027. What is o(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/4 + 13*m**2 + 149*m + 372.\nAnswer: -(m - 62)*(m + 4)*(m + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**6\/120 - c**5\/30 + c**4\/6 - 3*c**3\/2 - 7*c**2. Let l be m(7). What is the greatest common factor of l and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r + 2. Suppose -3*q - 1 = -3*t - 46, -r*q - 2*t + 35 = 0. Are 13 and q nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -871*k - 967*k + 741*k - 901*k to the form g + y*k and give y.\nAnswer: -1998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -13*c**2 + 11 - 8*c + 22*c**3 - 36*c**2 + 49*c**2. Let o(r) = 15*r**3 - 5*r + 7. Give 5*b(s) - 8*o(s).\nAnswer: -10*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -152*n**3 + 3*n**2 + 23*n - 21. Let v be l(-7). Let j = v + -35941. Round j to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 210, 340, 488, 654, 838?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5*m - 6*m - 21, 3*k - 5*m - 17 = 0. Suppose 0*p = -5*p + 5. Calculate the smallest common multiple of p and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) + (sqrt(77) - sqrt(77)*3)) - sqrt(77))\/(sqrt(176)*-2) - (sqrt(343) + (-1 + sqrt(343) + sqrt(343))*2 + 2 + -1 + sqrt(343) + -3).\nAnswer: -331*sqrt(7)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617697440?\nAnswer: 2, 5, 197, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/4)\/((-3)\/20). Let d = -1502 - -1528. List the prime factors of y\/(1\/(-7) - d\/(-84)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 - 7 = 2*j. Let y = -35 + j. Solve y*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000153 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 188.7 - 188.6. What is the nearest to -0.1 in r, 1.6, -11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -781047?\nAnswer: -390523.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q**3 - q**2 + 2*q - 1. Let p be z(1). Let d = p - -7. Which is bigger: 2\/5 or d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 10.4.\nAnswer: -228.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 217, 492, 877, 1372?\nAnswer: 1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + p**2 + 45*p + 25. Give l(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45357550 + -28?\nAnswer: 45357522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2. Let p(v) be the first derivative of -4*v**3 + 2*v**2 - 2324. Give p(j(n)).\nAnswer: -12*n**4 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + 0.6. Let a = 79 + -475\/6. What is the third biggest value in -2, f, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 293 + 342 - 1676 + 2939 + 3068 + i in the form t*i + q and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 20. Sort b, -2\/5, -4, 2 in decreasing order.\nAnswer: b, 2, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64683 - 64639. Suppose m + 144 = 4*s - 420, -2*s + 282 = -4*m. Suppose 2*x = s - 9. Calculate the greatest common divisor of h and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-2 - -1) - -3. Let p(b) = -b + 14. Let g be p(11). Is g at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1443996 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179910657 to the nearest integer?\nAnswer: 13413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1000011101100000 (base 2) to base 12\nAnswer: 18080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 231154.7mg?\nAnswer: 231154700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2688) - sqrt(42))\/(sqrt(294) + -2*sqrt(294) + sqrt(6)).\nAnswer: 17*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 + 12*z + 86. Is 14 a factor of t(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 5*q - 5. Suppose 3*v + 18 = 3. Let k(g) = 3*g**2 - 8*g - 8. Calculate v*k(h) + 8*o(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*t + 17 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/30*12\/130)\/((-1)\/5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867 minus -0.04?\nAnswer: 1867.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.22 + -2.515. Let w = b + -2.705. Let u = 0.6 - -0.2. Sort 0.3, -2\/5, u, w in decreasing order.\nAnswer: u, 0.3, -2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -0.4, -3\/19, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f**3 - 4 + 4*f**2 - 3*f - 12*f**3 - 2*f**2 to the form d + j*f**3 + b*f + t*f**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -266095739200 rounded to the nearest 1000000?\nAnswer: -266096000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 7. Let b(h) = 0*h + 4*h**2 - 3*h - x*h**2. Give b(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/5, -169, 0.5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -8*n**2 + 44*n + 130. Let w be v(-6). Is w at least as big as -424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 5*c**4\/3 + 48*c - 16. Let i(l) = 0*l**2 - l**2 + 5*l**2. Determine v(i(b)).\nAnswer: 320*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 s when three letters picked without replacement from {k: 9, d: 8, s: 2}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-3))\/(-4 + 3). Suppose 5*p - 5*k + 5 = n, -4*p + 23 = -k + 6*k. Suppose -94 = -p*r - 0*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -22. Suppose r*y = 5*t + 5*y - 15, -4 = y. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153193304 divided by 1?\nAnswer: 153193304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -1\/20*k**5 - 1\/12*k**4 + 0*k + 0 - 2\/3*k**3 - 1\/120*k**6 - 2*k**2. What is the units digit of w(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + q = 3*h + 83, -q + 62 = 3*h. Solve 4*i - h = -4*v + 3, 2*v + 3*i = 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-8) + 1484\/(-750) + 3. Let z = 2162\/4125 + s. Factor -10\/11*n**2 + 2\/11*n**3 + 14\/11*n - z.\nAnswer: 2*(n - 3)*(n - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 8*y - 14. Suppose -2*o + 14 = -i, 17*i - 22*i - 35 = -3*o. Give r(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25a21 (base 13) to base 10.\nAnswer: 69824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70069 and 415287?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 0.75 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - 0.1. Let q = -5.4 + 5. Let d = -68 - -68.2. What is the third biggest value in q, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1248478 and 0.5.\nAnswer: 1248478.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -39. Which is the closest to 1? (a) -0.1 (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*m**4 + 21*m**3*z**2 + 51*m*z**2 + 3*m*z - m wrt m.\nAnswer: 132*m**2 + 126*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 2*k - 417*k**2 - 12*k + 10*k.\nAnswer: -417*k**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 18*i**2 - i. Suppose -4*m + 3 = -y, -5*y + 0*m - m = -6. Suppose y = -w - 0. Is t(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/8)\/1 - 24\/(-44). Let x = d + -6\/11. Let p = 45 + -497\/11. Which is the closest to x? (a) p (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441477265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) + 550*(-9)\/(-24). Suppose 2*g - f = -1906. What is g rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 308924*z**3 + 114563*z**3 - 11953*z**3 + z.\nAnswer: 411534*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00488095 to 4 dps.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 7*f - 2*f + 23, 3*x = -2*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**2 - 108*p + 204 = 0.\nAnswer: 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -131540 and -0.2.\nAnswer: 26308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(396) + 0 + sqrt(396) + 3 + -6*sqrt(396)*1).\nAnswer: -72*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let g(o) = -18*o - 297. Let x be g(-20). Suppose -5*r + x = s*j - 9, 144 = 4*j - 5*r. Is j > 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*v - v + v)*(1 - 1 + v**2) - 2*v + 2*v + 2*v**3)*(0 + 0 + 21*v**2).\nAnswer: 105*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 222200313?\nAnswer: 222200323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 8*z - 845 = 0. What is the highest common factor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 17*q - 4263. Suppose -4*k + 1403 = q. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245 and 101535?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*c**2 - 19*c**3 - 73199*c + 36602*c + 36596*c - 3 + 2*c**2 + c**3 - 2*c**2 - 2*c**3 + 0 + 0 + (-5*c**3 + 2*c**3 + 5*c**3)*(-3 - 3 + 4).\nAnswer: -24*c**3 - 11*c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.3 - 3.7. Let t = s + -1. Let k = 2395\/16667 - 2\/2381. Put -4, t, k, -0.5 in descending order.\nAnswer: k, t, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-623)\/105*(-12)\/(-8) + 9.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1981, -3803, -5475, -6997, -8369, -9591?\nAnswer: -10663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 4*v**2 - v - 1. Let p be u(-4). Suppose -3*o + 8 + p = -4*i, 5*i - 2*o = -5. What is the units digit of 3 + (3 - (-3 + i))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) 3030 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203 (base 4) in base 14?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5 - 20553*h**4 - 307809*h**3 - 1292151*h**2 - 1004892*h = 0. What is h?\nAnswer: -6836, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 2008.\nAnswer: -401.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 0 + 1\/360*k**5 - 1\/2*k**2 - 20*k + 49\/36*k**3 + 7\/72*k**4. Let w(s) be the first derivative of c(s). Factor w(y).\nAnswer: (y + 7)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370663?\nAnswer: 370663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*sqrt(153))**2 - sqrt(153)).\nAnswer: -3*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 896993?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-30))\/((-2)\/(-10)). Suppose -2*d - 20 = w - 0*w, -2*w - 32 = y*d. Suppose -j - 1 = 4. Sort d, -1, j.\nAnswer: d, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3032 - 2816. What is the remainder when 1938 is divided by g?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*j - 4*m, m + 1 = 2*m. Suppose -6*t = -j*t. Solve -5*s = -2*u + 19, -s = 5*u - t*u + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**3*m**2 + 210448127*i**3 + i**2*m + 98607*i*m**2 - 28*m**2 wrt m?\nAnswer: 8*i**3 + 197214*i - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15bb - 3?\nAnswer: -15be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 29. Suppose 2*s = s + 4. Let m be (-1)\/s + r\/12. Solve 0 = -2*w - 0 - m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 15. Suppose -f - 3*f - r = 0. Let o be (2\/(-18))\/((-20)\/(-24)). Which is the second biggest value? (a) f (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 140, 195, 266?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 - 3*o + 3*o + (0*o + o + o)*(2*o - o + 0*o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + (2 - 1) + (-441 - -446)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14346520 (base 8) to base 5\nAnswer: -1313420244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 450.101 - 450. Let s = r + 0.399. Which is the closest to -5\/2? (a) 4 (b) s (c) -5 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 509 + -694. Is 9 a factor of b\/(-222) + 1826\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18344, -2, -250 in ascending order.\nAnswer: -250, -2, 18344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 10:44 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - -1*-1*sqrt(85))\/((sqrt(15) - sqrt(60))\/sqrt(3)) - (sqrt(17) + 1 + (2*sqrt(17))**2 + sqrt(119)\/(sqrt(7)*-2)).\nAnswer: -69 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 0*n**2 + 5*n**2)*(-n**3 + 0*n + 0*n) - 1900*n**5 + 7640*n**4 - 7640*n**4.\nAnswer: -1901*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u = -43*u + 96. Let l(s) = -s**3 - 6*s**2 - 7. Determine l(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 at most 354\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -433.\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -471 + 483. Calculate the highest common factor of 84 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5451 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -49\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1316380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37130 = 54*n - 146956. What are the prime factors of n?\nAnswer: 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 - 41*r**2 - 117*r + 37. Let d be z(-17). Solve 3 = 3*j - j - 3*b, 12 = 3*j + d*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*z + 4*t - 16, -z = 2*t. Let s(k) = -2*k + 3. Calculate the remainder when 21 is divided by s(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 - 2*g. Let p be n(2). Suppose 0 = 2*i + u - 116, -15*i - 132 = -17*i + 3*u. Calculate the highest common divisor of p and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*d = -2*f + 189*d + 36, d = -2*f + 39. Solve 0 = -5*y - 5*p - 15, -f*y + 2*p + 18 = -26*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39952066?\nAnswer: 2, 7, 11, 259429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v - 5. Let c(h) = 2*h + 0*h - h. Let f be (-4)\/12*(4 + 2). Let d(r) = f*z(r) + 6*c(r). What is the first derivative of d(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447347*o - 5*r = 447348*o + 403, -8*r = -2*o + 652 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 55, 108, 193, 316?\n\"Answer: h**3 + 7*h**2 - h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*h - 145, -2*h = h - 3. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a + 10. Suppose -3*x + g = -2, 5*x + 7*g = 3*g + 26. Suppose x*j - 5 = a. What is the highest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 0 + 4 - 4 + 8*o**2. Let f(g) = 2*g**3 - g**2 + 2*g - 1. Let k be f(1). Let q(w) = -w**k + w**2 - 2*w**2. Calculate q(m(x)).\nAnswer: -128*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*c - 101*c - 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8746323, 8746321, 8746319, 8746317?\n\"Answer: -2*y + 8746325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 446040899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 13. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/5))\/(t\/(t*t**(1\/2)\/t)) assuming t is positive.\nAnswer: t**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -6*r - 16. Suppose r*x + 23 = 25. Solve -4*h - x = 4*n + 7, -3*h - 4*n = 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39109103 and 23672?\nAnswer: 2959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 60 = 2*m. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/9 + 8\/6. Let r = -1\/3 + z. Let w be (3\/12)\/((-3)\/4). Put r, w, -4 in decreasing order.\nAnswer: r, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 451 - 2707\/6. Let v = 8 - 7.7. Which is the biggest value? (a) p (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 17*z - 55. Let g be y(21). Solve -6 = 7*v + g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**7\/42 + 19*w**6\/2 + 4177*w**5\/4 - 33205*w**4\/3 + 33640*w**3 - 6*w**2 - w + 44. Solve q(m) = 0 for m.\nAnswer: -116, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - (sqrt(84) + -2*sqrt(84) + sqrt(84))*-5) + sqrt(84))\/sqrt(4))\/((-6*2*sqrt(42))\/sqrt(6)).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 669 - 681.1. Let y = 3.1 - 15.1. Let t = f - y. Is t less than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q - 4*o - 2, 4*o = -q + 42. What is the highest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -3*o + 6*f - 2*f, 0 = -3*f + 15. Let g = -53 + o. Suppose -6*d + 3*d = 0. Solve d*k = 3*k + g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7818549?\nAnswer: 3, 2606183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4543*d - 2118*d - 18 - 2281*d wrt d?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -89. Let s = u - 1. Suppose -2*h - o - o = -64, s*h + 3*o - 156 = 0. Solve 10 = 5*y + h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4843 and 2171?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1234*h - 411*h - 580*h)*(2*h - 4*h + h).\nAnswer: 2225*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13099291 from -9565.37.\nAnswer: 13089725.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1539)*-2*-3*2*5.\nAnswer: 3 + 540*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*140\/(-8) - -3. Let d = 34 + m. Suppose 3*q + 2*g - 308 = -q, 8 = -d*g. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 25. Let s = -4 - m. What is the nearest to 1 in -0.1, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + 2*p + 7. Suppose -l + 11 - 5 = 0. Let a(i) = 2*i**2 - 3*i - 8. Determine l*g(c) + 5*a(c).\nAnswer: -2*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 6:20 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 115105787 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 265565.4 decades in years?\nAnswer: 2655654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/11 - 12099916\/(-22). Suppose -3*u - 2*u + b + x = 0, -5*u - 4*b + 550016 = 0. Round u to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 55*s - 387. Give h(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1736 - -1736.0000006105. Round r to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-15))\/g)\/g)**46\/((g*g**(1\/6))\/(g\/g**15)) assuming g is positive.\nAnswer: g**(-4507\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 2*v. Let d be i(-2). Suppose 2*t + 2*a = 20 - 4, t - a = 10. Suppose -4*s + t + 67 = d. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18738*k - 6545*k - 4257*k - 3791*k.\nAnswer: 4145*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) 2391 (c) 373 (d) 1\/4 (e) 3\/8 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 7:42 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5062.0921 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/19)*m**(-1\/3)*m*m)\/(m\/((m*m**(2\/5))\/m)*m\/((m**(-6\/5)*m)\/m)))**(1\/47) assuming m is positive.\nAnswer: m**(-353\/13395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 565106 (base 7) to base 4.\nAnswer: 120131303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*b - 24 + 28, 0 = 3*y + 2*b - 2. What is the lowest common multiple of y and 356?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1296)\/(-7128))\/((-32)\/22)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**4 - 2*g**3 + 3*g**2 + 6*g. Let k(l) = -l**4 + 2*l**3 - 4*l**2 - 7*l. Let y(u) = -5*a(u) - 4*k(u). Let y(f) = 0. Calculate f.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.3 (c) 5\/3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.7 - 8. What is the nearest to 1 in s, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from {a: 2, b: 3, h: 6, d: 5, w: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 209555887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (1 - -5) + (-2 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*j = 140*j - 54. Suppose 802 = 10*h - j*h. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 84*c - 34*c - 3 - 34*c - 25*c. Let k(l) = -8*l - 3. Calculate -6*g(q) + 7*k(q).\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233067 + 233066. Suppose -2*z - 4*l = 8, 2*z - 6 + 0 = 3*l. Sort 10, y, z in ascending order.\nAnswer: y, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h = 4*h - 10920. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1586452 and 17276?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -118 times 16608\nAnswer: -1959744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 + 3*y**2 - 2*y**2 + (y + y + 0*y)*(-2*y + 0 + 0) - 4*y + 4*y + 2*y**2 + y**2 + 0*y**2 + 0*y**2 - 8*y**2 + 13*y**2 + 8*y**2 - 1 + 1 - 2*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 11*m + 25*m)*(407 + 2*m + 264 + 80).\nAnswer: 26*m**2 + 9763*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40412 + 29021. Is l greater than or equal to -11393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4248721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 2, d: 2, b: 1, y: 2, j: 1, z: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-1)\/1*2. Let a(z) = -1. Let m(i) be the third derivative of -i**4\/12 - 2*i**3\/3 - 3*i**2. What is k*a(v) - m(v)?\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/6 + 559*p**2\/3 + 312481*p\/6.\nAnswer: p*(p + 559)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**3\/6 - 25*g**2\/2 + 8*g. What is the derivative of s(c) wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t. Let s(q) = q - 1. Let c = 7 - 8. Let p(v) = c*d(v) + 2*s(v). What is p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -112, -226, -340, -454?\n\"Answer: -114*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 360 - 352. Suppose -2*p = -4*p + 308. Suppose -p = -15*u + b*u. Calculate the greatest common factor of 154 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3 = -3*m, -2*d + 4*m = 3 + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*a = 10, -3*a - 12 - 3 = -4*t. Solve t = r + l + 1, -5*r + 3*l - 35 = -2*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -11*h + 1503. What is the third biggest value in -1, 2, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/161*(2\/(-1))\/(-1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3890*h*x**3 - h*x - 4*h - x**3 + 1938*x + 3 wrt x?\nAnswer: -23340*h*x - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28649231?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6.7. Let d = y - -0.1. Let u = 0.024 - 0.324. Sort u, d, 3 in ascending order.\nAnswer: u, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 48 = -92. Let k be (-6)\/3 + 4 + -2. Suppose 0 = 3*q - k*q - 60. Calculate the highest common factor of f and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -777 + 776.3. What is the second biggest value in -0.4, -1, p, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 + -4.7. Let q = -0.04 + 2.04. Let o = 1.7 - q. Which is the nearest to -0.1? (a) t (b) -4\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 85abf - -91?\nAnswer: 85b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*v, -4*c + 11 + 5 = 0. Let f(z) = -z**2 - 6*z - 5. Let d be f(-5). Suppose 0 = -a + 3 + 2. Put v, a, d in decreasing order.\nAnswer: a, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8267*a**3 - 4*a**2 - 74647*a wrt a?\nAnswer: 49602*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 22*a**2 - 52*a + 857. Is o(-49) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9 + 260\/15. Let j = 3.7 - -1.3. Let w be (4\/(-7))\/(36\/(-112)) - 2. What is the second smallest value in j, w, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*w + 4 = 8*t, -2*t = -5*w - 9. Let y = t - -30. Suppose 57 = g - y. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12570361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1830?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (1 - 10\/10) + 2*57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.1, -0.2, 1, -18\/13 in ascending order.\nAnswer: -18\/13, -0.2, 0.1, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 (base 16) in base 15?\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 - 2 + 8*l**3 + 1.\nAnswer: 8*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 104 = -4*u. Suppose 2*b + 3*a - 72 = 0, 2*b - 4*a + 2 = 60. Let o = b - u. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-870)\/12*(-9234)\/135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 16*r = -15. Which is the fourth smallest value? (a) -0.1 (b) 1\/6 (c) -8\/3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 192 and 33.1.\nAnswer: 6355.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73980.05l?\nAnswer: 73980050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.93 + 0.07. Let z = g + 0. What is the closest to -1 in 1, -4, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 7 = 3*c, 5*y - 4 = 4*c + 4. Let j(h) = 2 + 6*h + 6 - c. Is j(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbvblvgvgbggbbbvgb. Give prob of picking 1 l and 3 g.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*j = 39, y - 11 = 4*j + 8. What is the greatest common factor of y and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 495209 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - (-1 - -7 - 2). Suppose -o*f + f = -6. What is the derivative of 21*i**f + 11 + 25*i**3 - 62*i**3 wrt i?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001407 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/9)\/(1\/15). Let c = 13 + d. Is (9 - -6)*2\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -12*d - 21*d. Is 5\/292 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 - 31. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3186 is divided by 212.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + 0 - (-22 - -21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -56*d**2. Let z(w) = -179*w + 114*w + 74*w. What is r(z(y))?\nAnswer: -4536*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 230403568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.070755*535\nAnswer: -37.853925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 - -61. Suppose a = 6*g - 2 - 16. Solve -2*d - g = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12024 + -5227. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13440570 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1106514 (base 7) to base 3.\nAnswer: -20221121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 1 q when three letters picked without replacement from qqkzkakkd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/11222 and 43\/44888.\nAnswer: 44888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - 671?\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = -21. Suppose 3*g - u = g. Suppose -5*l - 4*d + 15 = -2*d, 25 = 3*l - 2*d. Calculate the remainder when g is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8813000 rounded to the nearest 100000?\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 81*p + 407. What is k(-4)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 minutes after 3:00 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 4*z - 12, -z = -2*w + 10 - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78 - n**2 + 6*n**3 - 18*n + 76 + n**4 + 83 - 239 to the form a*n**4 + w + x*n**2 + t*n + z*n**3 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 827*q + 15032. Determine i(19).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 89*f**2\/2 - 15*f - 11. Let h(n) = -44*n + 7. Let r(w) = -13*h(w) - 6*v(w). What is the tens digit of r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 6) to base 14.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:47 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 364 = -10*p. What is the common denominator of (-4)\/(-4) - 14\/p and -57\/8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/8)\/((-3)\/4). Let r = 17372.68 - 17373. Is h > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4))**2 + 5*sqrt(12) + (sqrt(18)*2)\/sqrt(6)*-6 - 6*(-5*(sqrt(192) + 2 + sqrt(192)) + 3)**2.\nAnswer: -115482 - 6722*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*91.9\nAnswer: 9.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjjn when four letters picked without replacement from {j: 2, e: 1, h: 1, n: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 4*i - 6. Let p(d) = -d**2 + 8*d + 3. Let u be p(6). Suppose -h = 2*h + u. What is j(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301.2 + 302.2. Let v = -10 - -10. Which is the nearest to m? (a) 1\/2 (b) v (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 66, 176, 340, 564, 854, 1216?\nAnswer: 1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a - 6. Suppose t + t - 16 = 0. Suppose -2*y = -0*y + t. Is 9 a factor of c(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfo when three letters picked without replacement from {y: 2, j: 1, f: 4, o: 1, w: 3, p: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -142, -285, -420, -547?\n\"Answer: 4*c**2 - 155*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*l - 13. Let k = 2 + -2. Let w be 0 - (1*-5 + k). Solve -l*c - 3*c + 5 = 2*b, c = w*b - 26 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 18*o**3 - 3*o**2 + o - 1. Let f be r(2). Suppose 3*b + 10*y - 8*y - 410 = 0, 5*b + y - 681 = 0. Let c = b - f. Put 1, 0, c in ascending order.\nAnswer: 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31686 and 31686.\nAnswer: 31686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b*(b\/(b\/(b\/b**(6\/11))))\/b)\/((b*b\/(b\/b**9*b*b))\/b**6)*(b**(5\/4)\/((b\/b**12)\/b))**(-2) assuming b is positive.\nAnswer: b**(-661\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13690 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 44 = -40. Let l(p) = -5102*p**3 - 3*p**2 + 33*p + 14. Let k be l(d). What is k rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22091634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*n = 0, 3*i + 80588 - 80536 = 5*n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84964.\nAnswer: 2, 11, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 66\/(-10) + (-2)\/5. Let m = 12 + q. Suppose 2*l = -5*v + 5*l + 36, -3*v + 3*l + 24 = 0. Calculate the smallest common multiple of m and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 1 = -x, 2*p - 25*x = -22*x - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6415079289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, q: 8, j: 4}. Give prob of picking 4 j.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -3*h**6\/5 + 4*h**3\/3 + 8*h + 16. Let u(x) be the first derivative of j(x). Find the second derivative of u(z) wrt z.\nAnswer: -216*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 491*i - 1454. What is d(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 13\/1 - 9*1\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6417 divided by 23?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.36041 minutes in seconds?\nAnswer: 2901.6246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**9)\/f*f**(1\/29))\/(f**(-7))**(-1\/8) assuming f is positive.\nAnswer: f**(2125\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -198, -2, -0.5, 2\/13 in descending order.\nAnswer: 2\/13, -0.5, -1, -2, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 divided by -4?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 2:14 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1366564971 and -1366564971 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 - -74. What is the nearest to 0.1 in -0.5, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1341 + 150?\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 1673*b**3 + 607695*b**2 + 79286269*b + 78676900.\nAnswer: (b - 887)**2*(b + 1)*(b + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 77173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759336 is divided by 253110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l**2 + 3. Let p(b) = -24*b**2 - 8. Let a(y) = 3*p(y) + 8*r(y). Let h(i) be the second derivative of i**3\/6 + i - 30. Determine a(h(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**3 - 2*c**3 + 0*c**3 + 2*c**2)*(c + 7*c + 3*c) in the form t + i*c**2 + b*c**4 + x*c**3 + f*c and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1208, 2386, 3560, 4730, 5896, 7058?\nAnswer: 8216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 4, -3 in increasing order.\nAnswer: -31, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 541023.64 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122028813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 36275.34?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaakbkabakaabbaaaa. Give prob of sequence kk.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a - 187 = -3*f, 0 = 5*a + 20. What is the greatest common factor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54929073\/81160 + -3\/16232. Let z = 676 + p. Let t = 198\/5 + -40. Which is the nearest to t? (a) 1\/2 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26615 - -100792. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = v + 5*l + 2, 3*v - 3*l - 12 = 0. Suppose 3 = -3*p, 0*t + 3*p = v*t - 11. What is the smallest common multiple of 13 and (t\/(-6))\/(8\/(-60))?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -q + 14, 4*u - 46 = -5*q - 9. Suppose 5*o = 3*n + 35468, -n + q*n = -4. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**3 + 2*z + 1. Let n be v(-1). Is 6 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b - 6. Let q be (b - -4)\/(-1) - -3. Let f = 4 + -1. Sort f, -2, q in ascending order.\nAnswer: -2, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/12)\/(1\/(-3)). Let v(h) = t*h - 4*h + 2*h - 4*h. Let s(n) = -7*n. Give s(v(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01973 + 1996.692?\nAnswer: 1996.71173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofof when four letters picked without replacement from {q: 3, f: 3, o: 5, k: 1}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 196?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h = -24*h - 8. Suppose 2*l = -p - 1, 4*p + 12 - h = -5*l. Solve 5*z - 34 = -3*y, -l*z + 1 = -2*y - y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 8*i + 6. Let x be g(-8). Let s be (3\/x)\/(1\/(-64)). Let v = 9 - s. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97251, -194509, -291767, -389025, -486283, -583541?\nAnswer: -680799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/120 + 7*a**5\/60 + 5*a**4\/24 + a**3\/3 - a**2. Suppose -9*d = -7*d + 5*i + 17, 2*i + 8 = -d. Does 4 divide s(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 6. Suppose 5*r - 4 = -o*d, 2*d = 5*d + 4*r - 6. What is the third derivative of 2*i**3 + 4*i**d + 14*i**3 - 6*i**3 wrt i?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9959 + 10452. Calculate the remainder when w is divided by 241.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 7*v**2 + v - 6. What is f(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16844069?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + z - 19*z - 12*z - 3*z.\nAnswer: -33*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 - 7*y**2 - 6*y - 10. Let f be t(0). Which is the nearest to -4\/5? (a) -6 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/18 and 95\/2995668?\nAnswer: 2995668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - 2 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 252199941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1258 by -11.\nAnswer: -1258\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*m = 1235 + 1309 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 296685*f**3 + 12*f**2 + 967*f - 2.\nAnswer: 1780110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9202 is divided by 66?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13306 - -13391. Calculate the remainder when o is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 + 42\/20)*-81 and 41\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -541 - -542. What is the highest common divisor of b and 194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**4 + g**3 + 3*g - 52. Let u(y) = -2*y**4 - y**3 + y. Let w(i) = -u(i) - x(i). Find the first derivative of w(r) wrt r.\nAnswer: 4*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 201 = 3*p, -2*d + 219 = 3*p + d. Let z = p + 12. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35462851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h. Let t(g) = 2*g + 100. Calculate o(t(m)).\nAnswer: 18*m + 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14\/3)*c)**(3\/2)*c**29\/(c\/c**14) assuming c is positive.\nAnswer: c**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - (1 + (1 - -1)) - (1783 - 1785).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*t + 78*t - 27*t - 231*t**2 - 225*t**2 - 28*t to a + g*t**2 + v*t and give g.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**5 - 77831*r**4 - 1513910128*r**3 + 19692741396*r**2 - 24253699392*r - 290865040128 = 0.\nAnswer: -38922, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2653, 4984, 7311, 9634, 11953?\nAnswer: 14268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338 - -10.408.\nAnswer: 348.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 7*f**2 - 5*f + 2. Let c = 317 - 509. Let s = 197 + c. Give i(s).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820297 to the power of 1\/2, to the nearest integer?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**5\/30 + w**4\/4 - 28*w**3\/3 + 348*w**2. Factor u(q).\nAnswer: 2*(q - 4)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -5\/3, -0.52, -1, -14, -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 55 + -1 - -29.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = m. Let c(j) = j**3 - 4*j**2 - j. Let r be c(4). Let w = r + 6. Are w and m equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*u - 2*u. Suppose 2*n = 3*d + 25, 0 = -3*n + 4*d + 21 + 14. Is n greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (23\/1)\/(3\/27). Let j be q\/(-18) + (-1)\/2. What is the tens digit of ((-3)\/j)\/(7\/1876)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1806 and 8.\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(2\/25)*g*g\/g**(-23)*g assuming g is positive.\nAnswer: g**(673\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 39145*f + 234911. What is y(-6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129\/10 bigger than 836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -53*h**4\/2 + 54*h - 4. Let v(g) = 209*g**3 - 107. Let z(o) = -11*p(o) - 6*v(o). Differentiate z(y) with respect to y.\nAnswer: -264*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9b - 2?\nAnswer: -9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04 and -0.061.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4973 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -77, -105, -119, -113, -81?\n\"Answer: x**3 + x**2 - 38*x - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.129? (a) -3 (b) 0.415 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 54 + 165. Suppose -5*o + 3*f = -374, 5*o - 8*o + 238 = 5*f. Is z < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2093, -2030, -1953, -1856, -1733, -1578, -1385, -1148?\n\"Answer: w**3 + w**2 + 53*w - 2148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**4 + 4*a**3 - 144*a**2 - 144*a = 0.\nAnswer: -6, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/2*(-15)\/(-45)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(2448))*-3.\nAnswer: 12 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9*2991\/35. Let h = g + -132\/7. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3086122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 21. Suppose -o = 36 - 33. Let a(t) = -t - 10. Determine o*r(w) + 7*a(w).\nAnswer: -w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167397071 to the power of 1\/4, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -52a9 (base 11) in base 5?\nAnswer: -211031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p - 3 + 14 - 14 + 3.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/35))\/i**(2\/51)*i\/(i**1\/i)*i\/(i*i\/(i**6\/i)*i))**32 assuming i is positive.\nAnswer: i**(280096\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-106)\/6 + 1)\/(4\/(-6)). Let a be (-19)\/5 - (5\/z + 0). Let h(i) = -i**2 - 5*i + 1. Is 2 a factor of h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 + 5 + 1 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + 17 = -3*h, 5*n + 2*h - 360797 = -360808 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5379\/(-326))\/((-3)\/(-6)). Let z(w) = 23*w + 758. Calculate z(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22398 + (-3)\/(9 - (-60)\/(-8))?\nAnswer: 2, 11, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 3)*18 - 2. Let c = -2153 - -2198. Let j = c + v. What is the least common multiple of 9 and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**4\/4 - 1445*h**3\/4 - 31905*h**2\/2 - 184795*h + 201110 = 0?\nAnswer: -238, -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 2*q**2 + 45*q**3 - 5*q**3.\nAnswer: 42*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 10*q - 4. Calculate n(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -29, 2\/11, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*-3*6\/(-24). What is w in q - 3581*w + 2*w**2 + 3583*w - 3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k*k)\/k*k*k)\/(k\/(k**2*k*k)*k)*k**(-12)*k**(-2\/13) assuming k is positive.\nAnswer: k**(-106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:22 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.086? (a) 3\/31 (b) -1\/4 (c) -2\/13 (d) 4 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o + 4*o + 4*o + (-1 + 2 - 3)*(-1 + o + 1) + 2*o - 1 + 1 + 43*o + 13*o + 8*o.\nAnswer: 65*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 7:23 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/11, 8997, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, y: 4, c: 1, r: 6}. What is prob of sequence krcr?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1\/5, -0.17, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3393452027 to the nearest integer?\nAnswer: 58253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69228549?\nAnswer: 3, 13, 31, 19087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y - 10. Give h(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b70 + 46?\nAnswer: 3bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 325943, 651911, 977975, 1304183, 1630583, 1957223?\n\"Answer: 8*k**3 + 325912*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109389 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8898*m**4 - 2*m**3 + 4372 with respect to m.\nAnswer: 35592*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4 and 101\/596.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 2*j + 3 + 3, 24 = l - 2084*j + 2080*j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 0\/5) + 2. Let c be 4 + 0 + b + -8 + 3. Solve -1\/8*h**c + 1\/8*h - 3\/8*h**4 + 0 + 3\/8*h**2 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*h = 635*h + o - 15, 5*h - 84*o = 97*o + 925 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from {m: 3, o: 12}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 7*n - 81 = -5*h, 0 = -4*n + 2*h + 214. Let w = -47 + n. Let t be (-28)\/(-5) - w\/15. Solve t - 9 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 2, o: 1}. Give prob of picking 2 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -273*s + 3. Let w(u) = 5*u - 2796. What is w(h(x))?\nAnswer: -1365*x - 2781","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q + 1. Let d be n(-6). Solve -u - 2*u = -4*k + d, -3*u + k = 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/21)*q*q*q**(-1\/9))\/((q\/(q*q*q**(-1\/25))*q)\/(((q\/q**12)\/q)\/q)) assuming q is positive.\nAnswer: q**(-17413\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 1\/5 (b) 121361 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23459914, 46919784, 70379654, 93839524, 117299394?\n\"Answer: 23459870*q + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(9 + -5))\/(-16 + -1). Which is the closest to -1\/2? (a) -3 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**3\/6 - 820*v + 2. Let f(g) = -2*g**2 + 17. What is u(f(i))?\nAnswer: -2*i**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 137. What is the tens digit of a(33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 26*x + 104. Let s be p(-4). Solve -b + s = 4*j + 8, -4*b = 4*j - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 517.6526 centuries?\nAnswer: 51765.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 12 = 13. Let g = p + 6. Let d = 50 + -49.6. What is the nearest to -0.2 in 0, d, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 16. Let o be q\/135*(0 - -3). Which is the second biggest value? (a) o (b) -1\/6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 + 292\/3. Sort b, 5\/3, 0.3 in decreasing order.\nAnswer: b, 5\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0122 - 120.0122. Let v = -118.69 - x. Round v to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2\/3 (b) 2\/5 (c) 575.6 (d) 4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/44 smaller than 2945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4752))\/(sqrt(176)\/sqrt(4)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = -0*p. Suppose 4*u - 20 = 0, 5*l = 5*u - p*u - 15. What is the nearest to l in 2\/13, 3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a week in minutes?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -84*t*v**3 - 2*t + 23*v**3 + 6653 wrt v.\nAnswer: -252*t*v**2 + 69*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*s + 123, 4*r = -0*r - 3*s + 164. Let k = 55 - 41. What is the remainder when r is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:19 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 135825000 rounded to the nearest one million?\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4361113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 25. Let w be 3 + 10\/(r\/(-5)). Suppose -233 = -w*z + 4*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 14432208\nAnswer: 5\/2405368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*c + 84*c = -649*c - 635*c - 33694 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6*c)\/c*c**6\/c*c*(c**(1\/4))**(3\/43) assuming c is positive.\nAnswer: c**(2067\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717.3476 kilometers to meters.\nAnswer: 717347.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280 - 83 - 100 - 97 - 24*i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + -5 + -3 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 10*u**3 + 3*u**2. Let g(o) = -19*o**3 - 5*o**2. What is -3*g(z) - 5*w(z)?\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {t: 3, m: 4, z: 2, n: 2, j: 7}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 30*k**2 - 5*k - 130. Let i be f(-30). Suppose i*q - 15578 = 18*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 5971177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2 = -5*i, 5*q = -149*i + 144*i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (16304 + 16283 - 32527)*(0 + 4 - 3)*(-4*z - 4*z + 3*z) in the form t*z + w and give t.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 2*r + 74, -18*b + 128*r + 403 = 133*r for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 84 - 6 = 0. Calculate the least common multiple of 27 and x.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 7*k + 3*k - 12, -6 = 2*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 4:03 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18*(-72)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.10701 * 1728\nAnswer: 184.91328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 373, -4645, -20\/7.\nAnswer: -4645, -20\/7, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1*-2*sqrt(320) + (1 + sqrt(320))*-6)*1)**2.\nAnswer: 640*sqrt(5) + 20505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*s + 6. Suppose 0 + 20 = -4*g. Let l = 14 + g. Solve l = s*a + a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5355, -1, 5, 4, 1, 3 in ascending order.\nAnswer: -5, -1, 1, 3, 4, 5, 5355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m**2 + 10. Let g be f(-5). Suppose 2*z - g = -2*z + s, 2*s = 6. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gomppooipmiooorop. Give prob of picking 1 r and 1 p.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1 (c) -49\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 341\/731 + 41\/129. Calculate the common denominator of w and 77\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -33*t - 15. Let u(l) = -2*l - 1. Let v(c) = 15*u(c) - w(c). Let o(m) = -6*m**2. Give v(o(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1906706*a**3 + 795408*a**3 - 637856*a**3.\nAnswer: -1749154*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-170)\/68)\/((-1)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**5\/5 + 76*o**4\/5 - 138*o**3\/5 - 4336*o**2\/5 - 1496*o = 0.\nAnswer: -5, -2, 0, 11, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 488327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 3)*(25 - 15 + 18*a - 14)*(-a - 3 + 3) in the form g + y*a + w*a**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrr when three letters picked without replacement from rrrrrrrrrrrrrrjrrrrr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 7*c**2 - 7*c + 27. Give p(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) 231 (c) -4 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11*c. Let r(y) be the third derivative of -y**5\/20 + 32*y**2. Give b(r(j)).\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 25*v + 44 = 0. Let m(t) = 15*t. What is m(v)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 33367003?\nAnswer: -33367011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*w - 255 = -4*w, a = -4*w + 98. Suppose -a = -2*k - 0*k. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39444 or 2106\/5?\nAnswer: 2106\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/129272 and 37\/4520.\nAnswer: 646360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.12 - -11.12. Let s = z + -16. Which is the smallest value? (a) s (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(-2*sqrt(4)) + sqrt(8))\/(sqrt(16)*2).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119487 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.2 - 16.4. Let r = 7\/2 + -87\/26. Put -1, c, r in decreasing order.\nAnswer: r, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 10*c - 5. Let o be i(7). Suppose 0*q + 5*t = 4*q + 41, t = 3*q + 17. Let w be q\/o + 1246\/182. Solve -w + 27 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(209) + sqrt(209)*2 + sqrt(209) + sqrt(209))\/sqrt(11) - sqrt(209)\/(sqrt(11)*2)))**2.\nAnswer: 13851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2453 + -2452.9983605. Round h to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbaa. Give prob of picking 2 a and 1 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -2*m**6\/15 + 11*m**4\/24 + 16*m**2. What is the second derivative of t(h) wrt h?\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/3)\/u)\/(u**1*u*u*u*u))\/(u**(-3)\/(u*u*u**(3\/5)*u)) assuming u is positive.\nAnswer: u**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295 and 10085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**11*l*l*l*l*l**3\/l assuming l is positive.\nAnswer: l**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttlrhh. Give prob of sequence lth.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 + -1803928?\nAnswer: -1803958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -1a?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 0*x + 2*x - 6*x - 2*x + (-3 + x + 3)*(5 - 5 + 2) + 2 - 6*x - 2)*(x**3 + x**3 - 3*x**3)*(2 - 3 - 1).\nAnswer: -22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-120) - (-21)\/(-600)*-13?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 2:47 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 8:16 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 255622 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/15 (c) -180 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5702 + -5697. What is the closest to -1\/2 in -234, -3\/5, y?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 42 = -12*f. Let a(y) = -y**2 - 6*y + 11. Is a(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*d, 21 = j + d - 8. Suppose 5*a - 322 - j = v, -5*a + 325 = 4*v. Suppose -5 - a = -y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6769, -17934, -29109, -40300, -51513?\n\"Answer: -o**3 + o**2 - 11161*o + 4392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let j(k) = -692*k**2 + 52*k - 6. Give u(j(l)).\nAnswer: 692*l**2 - 52*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -5) + 122 - 2. Let h = i - 866\/7. Let p = -0.76 - -0.66. Which is the closest to 0.1? (a) 5 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 495731*k**5 + 2574042*k**2 wrt k?\nAnswer: 29743860*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8 - 20\/(-560). Determine m, given that 0 + 2\/7*m**2 + h*m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -3 (c) 2\/15 (d) 3\/7 (e) -13 (f) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2389506 + 1?\nAnswer: -2389505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 - 1595?\nAnswer: -1630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-22)*b**(-34) assuming b is positive.\nAnswer: b**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -305 (c) 4 (d) -25 (e) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + s + 4. Let u be 4 + -3 + 1 + -2. Let q be l(u). Solve -3*k - q = -4*h, -5*h + 16 + 24 = 5*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/2 + 345*y**2 - 27933*y\/2 - 14310.\nAnswer: 3*(y - 36)*(y + 1)*(y + 265)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1003688, 1003728, 1003768, 1003808, 1003848?\n\"Answer: 40*k + 1003648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 4*a + 10, -360*x + 5*a = -365*x + 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7642093435012+-0.5\nAnswer: 7642093435011.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 12 + 0 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*j + 22 = 0, -20 = -3*j + 7*j. Suppose 10 = 2*t + n + 1, 4*t - f*n = 36. Solve -m + 4*m + 15 = -4*w, -3*m - w = t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 8, -4*g + 8 = -0*s + s. Suppose -r + s = -22. Suppose 5*k = 28 + r. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Suppose 3*b = -5*m + 9, 0 = -4*b - 7*m + 2*m + 12. Solve -s = b*k - 2*k, 8 = -k - t*s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1620)\/(-8)*(-3)\/15 and (-4)\/(-10) - 206\/(-40).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*b - 5*b + 46 = 0, 4*k - 4*b = 72. Calculate the remainder when (2 - 805\/(-10))*(-4)\/(-5) is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1558.26564 rounded to the nearest integer?\nAnswer: -1558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 590 + -571. Let r = 2 - -14. Let w = r - u. Put w, -0.2, 1 in decreasing order.\nAnswer: 1, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {e: 1, x: 19}?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9498115 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + f = 11, 9 = 2*x - f - 0*f. Let a = -0.491 - 295.509. Let i = 295.9 + a. Sort i, x, -1, -2 in descending order.\nAnswer: x, i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 21844 in descending order.\nAnswer: 21844, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251670575.\nAnswer: 5, 13, 59567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkjjkool. Give prob of picking 1 k and 2 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 1:11 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Let a be s(0). Suppose -23 = -4*o + l, -5*o - l - 3*l + 13 = 0. Sort 4, o, a.\nAnswer: a, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3790 and 10.\nAnswer: -3780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 + 104. Suppose -j + 1718 = x*s - 4166, 0 = -2*j. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 6*k**2 - 9*k - 1. Let r(o) = o**2 - o. What is 6*r(a) - u(a)?\nAnswer: -2*a**3 + 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 19 = 13*g - 193 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2023? (a) 2 (b) -0.2 (c) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313946 = 175*g - 2988402 - 289527. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35*2\/14 - (-2)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 + 146. What is the highest common factor of 72 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -12\/641, -0.4, -0.6, 16 in ascending order.\nAnswer: -0.6, -0.4, -12\/641, 1\/3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prw when three letters picked without replacement from pptrpapwt.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 - 3818328?\nAnswer: -3818327.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1634 is divided by 531.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + d + 3. What is w(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003072463 to five decimal places.\nAnswer: -0.00307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 293102783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.21 + -86.79. Let c = x - -88. Let g = -11 + 11.01. What is the closest to -1 in -2\/3, g, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500 and 163250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2140 - 34045020?\nAnswer: -34042440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:07 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1377 - 1188. What is the remainder when j is divided by 66?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 - 6*o - 6. Let s(a) = 14*a**2 + 17*a + 17. Let k(d) = -d**3 + 6*d**2 - 6*d - 1. Let y be k(5). Let n = y - 0. Calculate n*s(m) - 17*i(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 5*p**2 - 4*p - 3. Let y be d(4). Let x be (-1)\/(-3) + (-2)\/y. Let b = x - -2. Solve 0 = b*g + 3, -m + 5*g = -0*g - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*4*sqrt(88)*-3)\/((sqrt(8) + sqrt(392) + sqrt(392)*-2)*-2).\nAnswer: -4*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 8*j + 44. What is m(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/(352\/(-112) - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - ((-120 - 13) + -1))*(-2)\/6?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -2, 125, -2\/51, -0.13, 3 in descending order.\nAnswer: 125, 3, 4\/9, -2\/51, -0.13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccrchgerglhrrc. What is prob of picking 1 g and 1 l?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/8826 and -69\/23536.\nAnswer: 70608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqjjqjjqjjjqqj. Give prob of sequence ji.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50880 - -50879.7. Let d = -0.9 - -4.9. Let g = 2 + d. What is the third biggest value in g, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1450\/27821?\nAnswer: 1450\/27821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -446.8 times 0.133?\nAnswer: -59.4244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from ceeoccciiieoioeowcoc.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 23*r**2 - 12*r - 6. Let t(b) = 25*b**2 - 14*b - 7. Let f(x) = 7*g(x) - 6*t(x). Let i(n) = 21*n. Calculate i(f(v)).\nAnswer: 231*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194519 is divided by 10341?\nAnswer: 8381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 11*f - 104. Let k be f + 1 + (-36)\/54. Let h(y) = y. Let b be h(2). What is the smallest value in 4, -1, k, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118352660?\nAnswer: 2, 5, 5917633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 8*w = 60 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/((y**(-1\/2)*y*y)\/y))**(-1) assuming y is positive.\nAnswer: y**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10999385 to the nearest integer?\nAnswer: 3317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*1 + sqrt(468))\/sqrt(9))\/sqrt(4)*1 - (-5 + 1*sqrt(1872) + sqrt(1872))**2*6.\nAnswer: -45078 + 1442*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 250020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.053 in 33.16, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h - 2. Let y(q) = -12*q + 5. Give -8*w(v) - 3*y(v).\nAnswer: 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(p**3 + 0*p**2 + 0*p**2)*(-8*p**2 + 12*p - 12*p).\nAnswer: 16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 3*z - 0*z + 14, -8 = 2*z - 3*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 1. Let j(a) = 11*a**2 + a + 2. What is -4*h(d) + j(d)?\nAnswer: 11*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, p: 1, s: 4, q: 5}. What is prob of picking 2 s and 2 q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -381773\/40 or -9545?\nAnswer: -381773\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4866\/811)\/(6\/(-10))*10\/2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 3*g**4\/8 - 23*g**3\/3 - 47*g**2 + 2. What is the tens digit of q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1276 and 6061?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -977.2 + 8319.2. Let x = -7343.200007 + d. Let a = 1.2 + x. Round a to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/162 and 6\/21 - (-20905)\/41958?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32773.\nAnswer: 13, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 11*j + 5. Let w be y(-9). Let u = -9 - w. Let i(f) = -4*f**3 + 5*f**2 - 11. Let h(a) = 2*a**3 - 2*a**2 + 5. Calculate u*i(t) + 9*h(t).\nAnswer: 2*t**3 + 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84713 is divided by 42335.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - 58. What is the remainder when 124 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/2*(-8)\/6. What is the tens digit of (-498)\/(-9) + x\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 95309, 190618, 285927, 381236?\n\"Answer: 95309*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -214 + 186. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.35507483 to two dps.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q - 27. Let k(z) be the third derivative of -z**4\/24 + 2*z**3\/3 - 5*z**2. Determine 27*k(y) + 4*p(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-56) - 5\/(-4). Let s(a) be the first derivative of -o + 1\/7*a**2 - 2\/7*a**3 + 4\/7*a. Factor s(i).\nAnswer: -2*(i - 1)*(3*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2.4. Let q be (-50)\/920*(-8 + 64\/10). Sort q, -2, g, -2.4.\nAnswer: -2.4, -2, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-11\/4)\/(x\/x**18))\/(x*x**6)**(-36))**(1\/11) assuming x is positive.\nAnswer: x**(1065\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -440238*p**3 - 3*p**2 + 3512977 wrt p?\nAnswer: -2641428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 1. Let n(t) be the third derivative of -t**4\/24 + 11*t**3\/6 - 9*t**2. Let h be n(10). Let a(c) = 3*c. What is h*a(b) - 2*k(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 22, -1 in decreasing order.\nAnswer: 22, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8233, 8201, 8169, 8137, 8105?\n\"Answer: -32*t + 8265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 27*b**2 + 2*b - 43. Suppose -5*g + 4*h = -4*g - 12, -5*h = 5*g - 160. What are the prime factors of s(g)?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/(-7) - (165\/35 + -5). Let k be x*4\/10 + 59. Find the second derivative of -3*s**5 + 12*s - s**5 - k*s**2 + 61*s**2 wrt s.\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*t + 308*t + 5*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*t + 75*t + 72. What is the third derivative of 101*s**2 - 26*s**6 - 361*s**2 - 199*s**t wrt s?\nAnswer: -27000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 2*i + 1. Let y be k(1). Find b such that 1\/4*b**5 + 1\/4*b**4 + y + 0*b**3 + 0*b + 0*b**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -1, -6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 18, -1\/8, -4, -43?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*a**2 - 118*a**2 + 0 + 0 + 61*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -314 - -11521?\nAnswer: 11206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 48*f**2 - 36*f - 88.\nAnswer: -4*(f - 11)*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 6*m - 5. Let u be a(5). Suppose -2*j = -j - 8900. Suppose u*s - j = s. Round s to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -0.71?\nAnswer: 0.0355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-5)*(-80)\/24. Suppose -72 - 12 = -j*f. Suppose -4*y + 158 = t, -5*t - 29 = -y + f. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3719 - -3762. Which is bigger: m or 11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 110*y**2 + 492259. Let k(f) = -6*f. Calculate k(z(h)).\nAnswer: -660*h**2 - 2953554","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-24))\/(50\/(-30))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 26*f - 6588 = 0. Let o = f + 567. Solve 5*s = -o - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31368917 is divided by 48.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 2:49 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 444 (b) -2\/51 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 f, and 1 h when four letters picked without replacement from {q: 1, e: 5, k: 1, a: 2, h: 2, f: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2904 and 446592.\nAnswer: 54037632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k - 11. Let b(d) = 4*d + 110. Let r be b(-27). Calculate z(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 - -61.964. Let l = -0.136 - m. Sort -4, l, 1\/3 in ascending order.\nAnswer: -4, l, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3 - 3*m**2 + m + 2*m**2 - 10 + 8*m. Is l(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 9:57 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + -70?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a**2 - 3*a - 5 + 32*a**2 - a**2 - 11*a - 1 - 6*a**2.\nAnswer: -6*a**2 - 14*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 0 + 13 + 5*h + h + 1 - 4*h. Calculate u(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 737 and 38319779.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-711)\/632)\/((-285)\/76)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4135?\nAnswer: 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 803419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, w: 9}. What is prob of sequence bw?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -158889?\nAnswer: 158888.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*h + 110*h = 300. Let r = h + 57. Which is the fourth biggest value? (a) r (b) 1\/2 (c) 0 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2209 (base 15) in base 11?\nAnswer: -5464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -30398*b + 11095279. What is s(365)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2191036 and 3589?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p - 25230 = 859*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 9*v**2 - 7*v - 25. Let q be z(10). Suppose -q*x + 0*x - 15 = 3*k, 2*x - k - 5 = 0. Solve 3*j - 8 = -4*a - j, x = a + 3*j - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 514230301*r - 1409701110?\nAnswer: 514230301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 3*s**2 - s + 4. Let u be k(3). Is 339\/u + 10 + -14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -9 + (-1012)\/69 + 2\/3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 344772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630 = 11*i - 630 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 60 times 23\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 3\/4 (c) -48 (d) 0 (e) -27\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 7 - 57. Suppose -l = -n - n. Let k = 0 + 2. Solve 0 = k*a - n - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 407368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3631\/187098 or -1?\nAnswer: -3631\/187098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -231518.1 to the nearest 100.\nAnswer: -231500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myb when three letters picked without replacement from bmmnyb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/1)\/(800\/(-300)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 - 35*k + 95. Give z(5).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 bigger than 408211\/2554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -95, -207, -355, -533, -735, -955, -1187?\nAnswer: -1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/1 + (18 - -22). Suppose i*j = -0 + 74. Solve 9 = 3*x - 5*l, 4*x = 5*x - j*l - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-13)\/((o*o**14)\/o) assuming o is positive.\nAnswer: o**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0738913 + 58454.\nAnswer: 58454.0738913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 1155.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3041118, 3041120, 3041120, 3041118, 3041114, 3041108?\nAnswer: 3041100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4*l = -27, -91*l = 2*f - 92*l + 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 65*j**3 + 30*j**3 + 3 + 33*j**3 + 1940*j.\nAnswer: -2*j**3 + 1940*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 33. Suppose 13*f - 17*f = j. Solve f = -k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 4*w**2 + 7*w - 7. Let z be j(5). Let s(o) = 2*o - 18. Let d be s(12). Are d and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 0, -67 in increasing order.\nAnswer: -67, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 18 + 12. Suppose -6*q - 2*y = -2*q - g, 21 = q + 5*y. Differentiate -20 + 20*t - q + 40 wrt t.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9006206)\/(-100628) + (0 - 10\/(-4))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5))**(-1\/20)\/((b**3\/b)\/(b*b**(2\/11)\/b)))\/(((b\/b**(-1\/4))\/b)**(-4)\/(((b\/(b\/b**9))\/b)\/b**(-7))) assuming b is positive.\nAnswer: b**(7811\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*m**4 + 18*m**2 + 22409*m - 34885066 wrt m?\nAnswer: 16*m**3 + 36*m + 22409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (406\/(-1248))\/((-6)\/8) - (30711\/377 + -81).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 232084268\/9 and 25787140 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 384\/83 + -19135\/2324. Calculate the common denominator of ((78\/20)\/1)\/(-6) and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 28, 1, 4, 113, 16 in descending order.\nAnswer: 113, 28, 16, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from cpep.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0.3, 7761?\nAnswer: 7761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34b - -c?\nAnswer: -33f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b - 3b?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*y + 2. Suppose -85 = y*x + 385. Let r = 132 + x. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*2634.\nAnswer: 1053.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 2*k - 32 = 24 + 22, -4*g + k + 74 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 - 12*r - 7. Let f(m) = m**2 + 6*m + 3. Let l(h) = 11*f(h) + 6*y(h). What is l(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 407*s**4 - s**3 - 2*s**2 - s + 4453.\nAnswer: 4884*s**2 - 6*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/180 and 79\/66?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2176458*p*z**3 - 30495*p*z**2 wrt z.\nAnswer: -13058748*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8118363 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973167?\nAnswer: 3, 13, 24953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2512418737?\nAnswer: 2512418737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 73, 109, 145, 181?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/5)\/((v*v**(-1\/7))\/v)*(v*v\/((v**(-3)\/v)\/v))\/(v*v**8))**(-1\/5))**(-2\/31) assuming v is positive.\nAnswer: v**(-144\/5425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -92*r + 2987. Calculate f(33).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljydpypd. What is prob of sequence jlyy?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1353.9 - -1354.9. Suppose 2*r + 4 = -4*z, -4*r = -3*r - 3*z - 8. Suppose -p + 4 = -u, -u + 10 = r*p + 2. Sort c, 4, u.\nAnswer: u, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**3\/3 - 3*j**2 - 4*j - 11. Let u(c) = -2*c**3 + 10*c**2 + 23*c - 129. Let h be u(4). What is i(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 237*j**2 - 208*j - 1. Calculate l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 20. Determine d(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**6 - 1018*q**4 - 1435*q**2 + 1.\nAnswer: -120*q**3 - 24432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 127 and 1504.\nAnswer: 191008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4975, -3\/11, 4 in increasing order.\nAnswer: -3\/11, 4, 4975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 180279.\nAnswer: -360558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 548242861?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 10*y**2 + 8*y - 10. Suppose 4*k - 2*b - 83 = -111, 2*b = -8. Calculate n(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 + 3*r - 7. Let b be s(10). Let c = 608 - b. Calculate the highest common factor of c and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2238*t**4 - 837*t wrt t?\nAnswer: -26856*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/9)\/(-2) + -1. Let m = 19\/18 + y. Suppose -3*d + q - 3 = -2*q, 4*d = -3*q + 17. Which is bigger: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 - q + 11. Let k be l(0). Let i(a) = -k*a - 35 + 35. Is 7 a factor of i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qww when three letters picked without replacement from {h: 1, r: 1, q: 4, w: 11}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840568842.\nAnswer: 2, 3, 17, 2746957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -1 (c) -17.6438\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0931 + -1.2?\nAnswer: -1.1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 8*q - 65. List the prime factors of (-4983)\/(-143) + 2\/q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1484, -1482, -1480?\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 2*b - 5*b - 88 + 74 + b**2. Let c be a(0). Let m = c - -15. Solve m = -2*h - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) + ((-159)\/(-15) - 2). Suppose 0 = -i*s + 263 + 646. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-4 - 4\/(-4)). Solve 8 = -2*v + w*k - 5, -2*v + 4*k = 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 12, 2\/27, 5\/3, -16\/23?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1088)*-3 - sqrt(1088))*1)**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 483700 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167.522 - 1.3431258.\nAnswer: -168.8651258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3)*1 + sqrt(3))*-2)**2 + (sqrt(9) - 2*sqrt(9))\/sqrt(3) + (0 + sqrt(3) + 0 + sqrt(3))**2.\nAnswer: -sqrt(3) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*r - 213*a**2 - 3*a*r + 3*r**3 wrt r.\nAnswer: a**2 - 3*a + 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (59\/531)\/(1\/(-3))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -71c (base 16) in base 5?\nAnswer: -24240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, w: 2}. What is prob of sequence swss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t - 9. Let b(z) = z - 1. Let f(p) = 4*p + 14. Let u(v) = -4*b(v) - f(v). Give -6*u(s) + 7*x(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001390701015 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(sqrt(637) + -3)**2 + 5 + 4*sqrt(13) + (sqrt(156)*4 - sqrt(156))\/sqrt(12).\nAnswer: -161*sqrt(13) + 2591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 117\/36 + (-2)\/8. Let g be -1 + n - (9 + -8). List the prime factors of (-8)\/16*(-18)\/g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 46 = -2*k, -115 = -5*k - p - 0*p. What is the remainder when 43 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1071 and 6681?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 7. Let u be (m\/210)\/(1\/9). Let f = -257 + 1796\/7. What is the closest to -2 in -4, f, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-15)\/(-5))\/((-3128)\/7820)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + i**2 - 8*i**2 + 8*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 13*h**2 + 20*h - 13. What is the remainder when x(-10) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 14*j - 66. Let m be (-6)\/33 + (-60)\/j. Is m + 1*12*9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706 = 10*g - 886 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1920 divide 8995200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -1\/12*o**4 - 15\/2*o**2 + 20*o + 1\/120*o**6 + 1\/12*o**5 - o**3 + 0. Let t(c) be the first derivative of d(c). Give t(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**3 + 5*r - 5. Let n be c(1). Let u be ((-6)\/10)\/(3*n\/75). Suppose -u*w - 3 = -3. Solve 4*t = 4*j - 2*j + 12, 5*t - 2*j - 13 = w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-7)\/2*126\/7938?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8998740983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5220 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 3*a**2 + 3*a - 4. Suppose 2*p - 2*d = -4*d - 22, 4*p + 5*d + 39 = 0. Suppose 0 = 33*o - 29*o - 80. Let n = o + p. What is f(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130415\/22 + 5930. Calculate the common denominator of -107\/10 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 145, 306, 455, 586, 693?\n\"Answer: -k**3 + 168*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**1)**(-6)*o**(-2\/3)*(o\/(o\/(((o*(o\/(o**(-7)*o))\/o*o)\/o)\/o)))\/o)**(2\/3))**(5\/16) assuming o is positive.\nAnswer: o**(-25\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -56*t**3\/3 + 3700*t**2 - 2368*t\/3 - 528 = 0.\nAnswer: -2\/7, 1\/2, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 - -256?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 1\/8 (c) -11 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 + 1905*x**3 - 43 - 23)*(0*x - 2*x + 0*x) + 0*x**4 - x**4 + 6*x**4 + (2*x**2 - 2*x**2 - 2*x**2)*(x**2 - 3*x**2 + 0*x**2) - 5*x**4 - x**4 + 4*x**4.\nAnswer: -3803*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 761 and 33?\nAnswer: 25113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4210334332 - -11?\nAnswer: 4210334343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*g + 4 = 74*g. Let k(r) = -r**2 + 5*r - 4. Let p be k(g). Let c(l) = -l**2 + l + 7. Determine c(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 110*y**2 + 217*y + 428. Calculate v(-112).\nAnswer: 1212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -751707 divided by 3.\nAnswer: -250569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 5:25 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m - 2*m + 0*m + 5*m. Let r(h) = -3*h. Calculate q(r(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 r, and 1 m when four letters picked without replacement from leumamreu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55361 is divided by 6914?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 750120 and 5320?\nAnswer: 750120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 6*h - 7*h**2 + h.\nAnswer: -7*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 + (4 - (1 - -3)). Suppose v = -q + 15. Suppose -181 = -3*k - q*a, 2*k = k - 4*a + 55. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112\/(-140) + (-34)\/(-5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(684)*1)**2 + (sqrt(19) - sqrt(114)\/sqrt(54))**2).\nAnswer: 6232\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-4)\/48*-20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-462)\/24 - (-48)\/4. Which is bigger: x or -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i - 6 = -5*n, -i + 2*n = -20. Let q = i - 14. Sort -2, q, 3 in increasing order.\nAnswer: -2, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1149*n + 1433. Let t(h) = -2264*h + 2867. Let k(y) = -13*p(y) + 6*t(y). What is the first derivative of k(g) wrt g?\nAnswer: 1353","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 833 + 5928. Let p = v + -552. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1402.03 + -19.97. Let s = o + 1421.8349. Round s to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 10*r**2 + 15*r + 15. Suppose -4*y = -22 - 10. Let s be j(y). Find the second derivative of -s*o - 2*o + 15*o**2 + 2*o - 12*o wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2 + -3 - -1. Suppose 0*v - 4 = -v. Suppose 3*u - 19 = -4*h, 5*u + v*h - h = 17. Which is the third smallest value? (a) -0.1 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 4\/9, 339\/10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 232 and 174.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 30 = 3*h. What is the smallest common multiple of 11 and 3\/(-4) - h\/8?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n + 29. Let b be x(8). Let j(f) = 56*f + 13. Is j(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/240 and 107\/14423694.\nAnswer: 576947760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcl when three letters picked without replacement from {t: 5, s: 1, q: 1, l: 3, c: 1, v: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 25*s = -280 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 8 - 45 - -25.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -0.0178.\nAnswer: -0.01068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 2065?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-0.32157638.\nAnswer: -0.0225103466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 389 + -267. Let l be (124\/(-10))\/(8\/40). Let d = l + v. Is 30 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44351517 by -2111977.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-30) - (-4)\/10. Suppose p = -2*a - a. Solve 3*g - 15 = -a*g, 0 = 5*k - 4*g + 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + (-273)\/(-52))*132504. Suppose 2*j + 177402 = 5*j. Let o = p - j. What is o rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1f2 (base 16) to base 3\nAnswer: 200110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1100000110101111111 (base 2) to base 13\nAnswer: -10b722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.3, -4\/7, 9, 3, 16 in decreasing order.\nAnswer: 16, 9, 3, -0.3, -0.5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1, 29\/2 in decreasing order.\nAnswer: 29\/2, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8844?\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 740716 - 73.\nAnswer: 740643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413 + -125.1.\nAnswer: -538.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -10440210235?\nAnswer: 10440210233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.3 (c) -0.1 (d) 2\/23 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1333020 (base 5) to base 7.\nAnswer: 142322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -672*w**3 - 13*w**2 + 106*w - 61?\nAnswer: -4032*w - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 198803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1859 + -1819.92. Let g = w + -0.08. Let d = g + -40. What is the closest to -0.1 in -2, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/20 - (524\/(-940) - 0). What is the third biggest value in 2\/5, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 189213 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*o - 150*o - 162*o - 150*o + 619*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {e: 2, n: 2, v: 1, l: 5, f: 4, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 13*z**4\/4 + 2*z**3 + 6*z - 73. Let v(b) = -168*b**3 - 77*b**2 - 77. Calculate -77*g(p) - 6*v(p).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n + 6. Let y(u) = -14*u - 18. Suppose 0 = 9*b + 10*b + 76. Calculate b*y(l) - 11*r(l).\nAnswer: l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1933330*h - 20. Let d be u(-6). Round d to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42 - 18\/6 - 0. What is the lowest common multiple of -7 + 8 - v\/(-1) and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1962512 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/y**20*y)\/y))\/y**(-28) assuming y is positive.\nAnswer: y**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00534883 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87624*h + 87726*h - 1734 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3243 times -16.81?\nAnswer: -54514.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2. Let r(j) be the first derivative of -1\/6*j**4 + 2*j + 0*j**3 + 0*j**2 - 2. Let h(m) be the first derivative of r(m). Give v(h(c)).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3216314*j - 6123237 wrt j.\nAnswer: 3216314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25506 + 25636. Calculate the lowest common multiple of g and 13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 - 21*j + 3. Let h be n(3). Let c(m) be the first derivative of -m + 2\/3*m**h + 1\/4*m**4 - 2 - 1\/2*m**2. What is c(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 i, and 1 n when four letters picked without replacement from {i: 6, r: 3, n: 6, d: 4}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, -270, -2, -3 in descending order.\nAnswer: -2, -3, -186, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/61 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 4*w**2 - w**3 + 3*w**3 - 2*w**3 + 3*w**3 + w**3 + (-2*w**2 - 2*w**2 + 2*w**2)*(-2*w + 2*w - 2*w) - 3*w**3 - 2*w**3 + 0*w**3.\nAnswer: 3*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360 = 4*s + 60*p, 4*s + 152*p + 45 = 155*p for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/3, -1.81227, -0.2 in descending order.\nAnswer: 4, -0.2, -2\/3, -1.81227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}