diff --git "a/data/dm_maths/full_data_2/10449_11255.jsonl" "b/data/dm_maths/full_data_2/10449_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10449_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z(o) = 3*o**2 - 18*o + 1624. Let y(s) = -3*s. Calculate z(y(x)).\nAnswer: 27*x**2 + 54*x + 1624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -105, -135, -193, -291, -441, -655, -945?\n\"Answer: -2*k**3 - 2*k**2 - 10*k - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650*n + 22687 = 15537 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/72 and -139\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0 - 43\/24*c**4 - 2*c**2 + 0*c - c**3. Is i(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, 668521, 2 in decreasing order.\nAnswer: 668521, 12, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 - -194. Let b = -91 + t. Let n = -18 - b. Which is bigger: n or 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 264 in ascending order.\nAnswer: -2, 0, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -48.\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Let b(d) = d + d + 5 - 2 + 2*d**2 + k*d**3 - 2. Suppose 5 = 3*i - 2*v, 5*v = 3*i - 21 + 4. Give b(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.4 rounded to zero dps?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*m**5 - 1\/3*m**4 + 0 + 0*m**3 + 0*m + 0*m**2.\nAnswer: -m**4*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxl when three letters picked without replacement from lxllx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 + (98\/8)\/7. Let j be (-20)\/40*(n + -22 + 2). Solve -6 = -j*c + 11*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2 + 1. Suppose -122*d + 117*d = 20. Let l be (3 - (-39)\/(-12))\/(d\/2). What is the nearest to 1\/3 in x, 0.7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*t + 3*t + 21, 0 = t + 3*p + 3. Is (-2 + 275)\/((-9)\/t) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 3*k**2 - 3*k**2)*(-4 + 2 + 4) + k - k - 3*k**2 + 0*k**2 - 3*k**2 + 0*k**2 - 24 + 24 + 2*k**2 + k.\nAnswer: -6*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 3*a**2\/2 - a - 2. Let c be u(7). Let y = 37 + -7. What is the highest common divisor of c and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269 + -273. Sort 3, -5, o in increasing order.\nAnswer: -5, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, e: 2, u: 5}. What is prob of sequence oou?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1550982 and 276.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/178, 1, 3, -33, -2, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*f + 12 - 48, -3*f + 24 = 3*o. Calculate the highest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -59 and 32.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6288, 13637, 20976, 28299, 35600?\n\"Answer: -g**3 + g**2 + 7353*g - 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 271*w - 7114. Is 144 a factor of x(152)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011644 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 11*u - 2. Let s be i(-12). Let t = s + -8. Suppose 4*y + 10 + t = 0. Is -5 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -211 + 21?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1231 and 13.3515?\nAnswer: -1.64356965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*b = 22*b - 36*b - 2432 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16908 (base 13) to base 15\nAnswer: -cc4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 < -28741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 16*i + 48 = 0. Calculate the remainder when 3694 is divided by i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 5*i**2 + 6*i + 2. Let t be y(3). Sort t, 3, -112 in increasing order.\nAnswer: -112, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4 - 1 = 0. Let n be (1\/3*-1)\/((-12)\/108). Suppose -2*a = -3*r - 3 - 0, 2*r = 3*a + n. Sort 5, -4, a, b in descending order.\nAnswer: 5, b, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 203 - 203.0368. What is a rounded to three decimal places?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from xaxxxaxxxxxaxxx.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30103 + 20?\nAnswer: 30123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 6) to base 4\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1814, 2487, 9656, 19693, 32598, 48371, 67012?\nAnswer: 88521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 281288166?\nAnswer: -281288171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16984988.\nAnswer: 2, 41, 103567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 4, -5 in ascending order.\nAnswer: -5, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 117179189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 25 = -3*o + 5*z, 0 = 3*z - 6. Put -6, o, -12 in ascending order.\nAnswer: -12, -6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 987579 and 14457.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14860, -59713, -134514, -239263, -373960?\nAnswer: -538605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heeeoheoeeohh. What is prob of picking 2 e?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -144 (b) 527 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - -7 - ((-8 - -13) + -5) - -7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 43*l**4\/12 - 2*l**3\/3 + 3*l**2\/2 - 4*l. Let x be m(2). Let h = -97 + x. Round h to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/48)\/(2\/(-222)). Suppose x*p + 7*p - 1760 = 0. Suppose -j = -y - 159, -155 = -2*j + j + 5*y. Calculate the highest common factor of j and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32729407 - -5.\nAnswer: -32729402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -430, 1 in decreasing order.\nAnswer: 1, -2, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5870024 < 5870024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -6, -0.29, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12643794.\nAnswer: 2, 3, 702433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 756173 or 755854?\nAnswer: 756173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**3 - 3*i**2 + 19*i - 19. Let f(p) = -3*p**3 + p**2 - 9*p + 9. Let n(c) = -5*f(c) - 2*w(c). Let y be n(7). Round y to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 - -19. Let g = v + 108. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (1 - (-6)\/(-2)). Let u be 0 - (-3 - (-2 + q)). Suppose -4*x - 19 = 1, 2*x + 7 = -3*n. Solve u*f + n = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*o = 6, 5*i - 6 = 4*o - 0. Let r be i*15*4\/(-8). Suppose -14*z + r*z = 0. Solve -b + 6*b + 25 = z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 16) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -85. Let d be (3 + -2)*(7 - q\/(-6)). Suppose -d*r + 8*r = 105. What is the greatest common factor of 168 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -12, 274 in increasing order.\nAnswer: -12, 5, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12 = 0, -2*r + 7*r = 2*w - 249. Calculate the remainder when (6 + -2)*w\/16 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -6 + 1 + 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 2*b + 1. Let v be n(2). Put 5, -4, v in decreasing order.\nAnswer: 5, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 9:10 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7455232 and 512.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(2\/11)))\/o)\/o*o**9)**(-13)*(((o\/o**(-1))\/o)\/o)**(-8\/7)*(o**(-2)*o)\/o*o*o*(o\/(o\/(o\/o**(-1\/10)*o))*o)\/o assuming o is positive.\nAnswer: o**(-9519\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 213637727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.335 = 1.1564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.8 - 21. Let j be (5\/60)\/(2\/(-4)). Which is the biggest value? (a) j (b) 2\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 + -3 + (30 - 25) - 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 10:26 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -3*w - 4*z, -3*z = 6*w + 13*w - 0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/270 and -13\/1026?\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 651127 (base 8) to base 13\nAnswer: 78112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3658650604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1. Suppose 0 = -56*a + 16*a - 240. Let v(x) = -x**2 + 3*x + 6. Calculate a*l(n) + v(n).\nAnswer: -n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8458 - -1939. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 3*x + 1. Let o be l(-2). Suppose 7 = -b - s, -2*b - o*s - 39 = -6*s. Is (b\/(-2))\/(6\/15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**2. Let v(w) = 3819*w - 2131. Determine v(k(o)).\nAnswer: -19095*o**2 - 2131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 6*g**2 + g + 7. Let d be f(-6). Let q = -82.4 + 82. What is the smallest value in 5, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by 27.\nAnswer: 23\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 27. Suppose 235 + 59 = 21*x. Calculate the remainder when m(0) is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3))**42*(h\/(h\/((h*h*h**(1\/3)*h*h)\/h))*h)\/(h\/h**(-1)))**(-5) assuming h is positive.\nAnswer: h**(-245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**6\/210 - b**5\/10 + 59*b**4\/84 - 5*b**3\/3 + 919*b. Solve z(f) = 0.\nAnswer: 0, 2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = k - 0*k. Suppose 3*l - 37 = -31. Does 14 divide ((-3)\/k - -25)*l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {r: 3, a: 2, s: 9, y: 2, i: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*s**2 + 3898245*s - 3898245*s.\nAnswer: -162*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -410? (a) 1 (b) 0.1 (c) 0.06 (d) 0.5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1979103 and -73\/243999.\nAnswer: 17811927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/54*2)\/(52\/156). Sort -0.01, -0.3, 1, c in increasing order.\nAnswer: -0.3, c, -0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1120 and 175.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + c**2 - 7*c - 12. Let q be o(-6). Suppose q = 2*g + 4*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 962.166 + -961. Let p = v + -0.935. Sort 0.2, 0.3, -4, p.\nAnswer: -4, 0.2, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let i(g) = 5*g - 912. What is i(t(r))?\nAnswer: -5*r - 912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 5:28 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.5 - -5.9. Let w be ((-2)\/21)\/((-3)\/9*1). Which is the third smallest value? (a) w (b) -2\/3 (c) k (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 1064*f**2 + 70756*f.\nAnswer: 4*f*(f - 133)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {k: 2, i: 6, h: 3, r: 2, n: 2, m: 3}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 15, -4*m - 2*j = -32 - 94. Calculate the greatest common divisor of m and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -222770880*g - 187800120?\nAnswer: -222770880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bww when three letters picked without replacement from sbsuwbwwwswwbw.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 13*s + 4 - 4*s**2 + s + 3*s**2. Let g be r(-14). Solve -5 - 6 = -3*j - 5*b, -g*j + 2*b + 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.446287 - 3.\nAnswer: -2.553713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/9 + 419*d - 1674098\/9 = 0. Calculate d.\nAnswer: 514, 3257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqaqqaa. What is prob of picking 1 a and 1 q?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -615*w**3 - 10*w**2 + w - 17979 wrt w.\nAnswer: -3690*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cggg when four letters picked without replacement from ggccg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**4\/12 - h**3\/2 - h**2 + 3*h. Determine q(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134\/1005 - 25\/((-750)\/1556)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.97 - -4. Let v = -0.068 + u. Round v to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 4.2, 3\/2 in ascending order.\nAnswer: -5, 1, 3\/2, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 + 92. Suppose 0 = -4*a + 30 + g. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-22))\/(4*(-11)\/(968\/11)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 988 - 787. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u*u*u**(-3)*u)))\/(u\/(u\/u**(-7)))*u**(2\/9)\/u*u**(-2\/29)*((u**1)**32)**(3\/34) assuming u is positive.\nAnswer: u**(44267\/4437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 4. Suppose 80 = 3*k + 2*d, 0 = -3*k - 2*k + 5*d + 175. Suppose 3*i + 3*h - k = -i, -2 = -h. What is the units digit of a(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4)\/n*n)**29\/(n\/n**(-1)*n**2))\/(((n*n**2*n)\/n*n**(-1\/3))\/((n\/(n*n**2))\/(n*n**(1\/5)))) assuming n is positive.\nAnswer: n**(-157\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0*v + 0 - 1\/12*v**4 + 29\/6*v**3 + 4\/5*v**5 + 2*v**2. What is the second derivative of l(d) wrt d?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3655\/8649 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0.3, -0.07 in decreasing order.\nAnswer: 20, 0.3, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295726?\nAnswer: 2, 147863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -211, -245, -293, -355, -431, -521?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-3 - (-1 - 11 - -3) - 0)) + 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhbh when four letters picked without replacement from bjhhjhddhbjdjbhdhb?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 2*h**3\/3 - h**2 + 519*h. Suppose -5*k = 4*x + 20, -5*x + 2 = -k - 2. Determine o(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 33 = -2*h. Suppose 185 = 6*x - 223. Let u = x + h. Calculate the greatest common divisor of u and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -5*v**3\/3 - 7*v**2\/2 + 9*v. Let i(t) = 3*t + 2. Calculate -2*b(y) - 7*i(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from vrvvvvhvvr.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-7)\/(1134\/99))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 490428893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u - 26. Let n be p(7). Suppose m = -x - 2*x + 31, 4*x - 38 = n*m. What is the greatest common factor of 40 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14301000 rounded to the nearest ten thousand?\nAnswer: 14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -411 + 200960*o**2 + 1242 - 200961*o**2 in the form a + n*o + l*o**2 and give a.\nAnswer: 831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*w**2 - 47 + 47 + 9*w**4 wrt w?\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*k, 3*k + 4*q - 24 = -k. Let m = -8 + 14. Let h be 0\/(-4)*(-3)\/m. Solve 2*b - k + h = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 2937.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2944288.\nAnswer: 2, 92009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yss when three letters picked without replacement from {y: 3, s: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 1 + 4\/3*f**3 + 1\/2*f**4 - f**2 - 4*f. Factor a(x).\nAnswer: 2*(x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(14)\/sqrt(7)))\/sqrt(10))\/(sqrt(18)\/(sqrt(96) + sqrt(96)*3)).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 0 - 1 - 16*a + 15*a. Suppose 3*b + 5*n - 43 = 0, b + 2 - 3 = n. What is j(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 t, and 1 z when four letters picked without replacement from {t: 4, c: 1, z: 6, f: 6}.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/21048 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -966*n**2 + 959 wrt n.\nAnswer: -1932*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -391*n*s**3 + 6*n*s**2 - 54745*n*s - 10*s**3 + 21*s wrt s?\nAnswer: -2346*n*s + 12*n - 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/3))**(-11)\/(i**(-1\/3))**(-28)*(i**(-1)*i*i*i**4*i)**(-2\/43) assuming i is positive.\nAnswer: i**(-2186\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 + -18. Let y be h\/(-42)*(-3)\/(-2). Find the common denominator of (19\/60)\/(y\/18) and 51\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50805761?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-10808)\/(-9457)*(-6 + (-73)\/(-11))\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 4 + 4)*(5 - 2 - 2) + 4 + 4 - 4 - 30 + 8 - 4)*(6*d - 6*d + 12*d**3) as r*d + q*d**3 + g*d**2 + u and give q.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 6*x + 1. Let u be i(-6). Calculate the common denominator of -29\/8 and u - 4 - 19\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + s - 2. Let t(i) = -i**2. Let p(w) = -o(w) - 2*t(w). Let l be p(0). Is -3 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -318222*o. Let f(u) = -122*u**2. Calculate z(f(v)).\nAnswer: 38823084*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 7:37 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.546 + -0.546. Let w be -6*(0 + 2\/(-30)). Which is the nearest to w? (a) y (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-10) + (-55)\/(-10) - -43. Let h be (-56)\/x*(-4 + -2). Suppose -53 - 10 = -w. What is the greatest common factor of w and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/88*(-10)\/10*4*1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:30 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssc. What is prob of picking 2 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 1. Let b(t) = t**3 - 14*t**2 + 52*t - 12. Let q be b(8). Calculate the highest common factor of i and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/91 and -61\/143?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 12*c + 78. Let x be s(-6). Solve 5*d - 9 = -n + x, -n = d + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -6. Solve 9*o + q*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let p(z) = 3 - 2*z + 5*z - 3*z - 2*z. Give p(n) - 5*v(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/1450053 and -8\/2619.\nAnswer: 4350159","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209583918 and 764.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33031 and 16993478.\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 7:05 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941545.\nAnswer: 5, 11, 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -38*c**3 - 3*c**2 - 10*c + 174. What is the remainder when v(-5) is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -56, 7, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -638 + 1394951*t + 0*t**2 - 3*t**2 - 1394965*t with respect to t.\nAnswer: -6*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111333 (base 4) to base 12\nAnswer: 3227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/15198 and 39\/231830?\nAnswer: 1761676170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 44. Suppose 0 = -2*s + 2*y + 8, s - g*y - 9 = -s. Solve 17 = -5*f + 6*f - s*b, -3 = -3*f - 3*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.4, 24, 0.03?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32.541 + -32.7. Let k = -72.159 - a. Let o = k - -71.99999907. Round o to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 530.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/2))**(17\/6)*(x\/x**(-4))**(-11\/6) assuming x is positive.\nAnswer: x**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38604898*k**3 + 145461759*k**2 wrt k?\nAnswer: 231629388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 124340*c + 1 - 124329*c + 2 + c**2 + 6*c**3 - 2*c**3 - 1 + 1 + (0 + 0 + c**3)*(1 + 2 - 5).\nAnswer: 2*c**3 + c**2 + 11*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (181 + -65)) + 229?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(125) + sqrt(125) + sqrt(125) - sqrt(125)))**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*v + 3*q, -3*v = 2*q + 1 - 6. Let c = -33 - -69. Suppose c = v*a + a. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*y - 48, -4*q - 36 = -3*y - 9*q. Let w = y + -8. Let b be (10\/25)\/((-1)\/(-5)). Solve -b - w = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10720 - 5490. Suppose -2092 = -2*m + 2*k, 5*m + 17*k = 13*k + x. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 11 = 3. Suppose -2*p + h*p = 110. Calculate the least common multiple of 14 and p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12262, 49092, 110472, 196402, 306882, 441912, 601492?\nAnswer: 785622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 13. Suppose 0 = -o + 3*o - 3*l - 18, 8 = 2*l. Let v = -4 + o. Let a be u(v). Solve -a*m - 12 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6067331 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590743 is divided by 548.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g + 2. Let t(b) = -b - 13. Let s be t(-14). Let v = 69 - 40. What is the remainder when v is divided by c(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -200, -675, -1466, -2573?\n\"Answer: -158*f**2 - f - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3*t*w**5 + 86*m**3*w**2 - m*t*w + 2*t*w**2 + 20*w**5 wrt w.\nAnswer: -60*m**3*t*w**2 + 1200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5296686, -10593386, -15890086, -21186786, -26483486?\n\"Answer: -5296700*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-40) + (-5)\/(-8))\/((-5)\/(-36))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/477 and 13\/3.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -72, -213, -338, -447, -540, -617, -678?\n\"Answer: 8*o**2 - 165*o + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, 2\/7, 10\/3, 10\/9, 6?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and (34 + -36)\/(11\/(-5) + 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2466 and 9.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25.6647 and -282?\nAnswer: 7237.4454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 64868 divided by 17\nAnswer: 64868\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(4\/11)*n*n)*n**(-1\/6))**(-30) assuming n is positive.\nAnswer: n**(175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 2051293.\nAnswer: -4\/2051293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5886 + -141229\/24. What is the common denominator of x and -47\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6580102?\nAnswer: 2, 3290051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j = 23*j + 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdh when three letters picked without replacement from {h: 5, s: 4, d: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0008, -1, -1\/2, 10.\nAnswer: -1, -1\/2, -0.0008, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-2)*((-14)\/6 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k**3 - k**2 + 2*k - 1. Give s(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*g = -0*k + 10, 5*g = -4*k - 25. Let b = -1\/39 - -197\/78. Put b, -4, k in decreasing order.\nAnswer: b, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + p**2 - 13*p + 5. Let i be y(5). Suppose i*r - 800 = 86*r. Suppose 5*s - 110 = r. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*c + 76*c + 336 + 432 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t + 2. Let l be d(-1). Which is the nearest to 2? (a) l (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -7\/5 (c) -13 (d) -3\/10 (e) -1\/3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2824 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1159662939?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/11*(-12)\/(-336)*-8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 178066 to the power of 1\/2, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -3 + 208\/4. Suppose 23*f - 27*f + s = 0. Calculate the highest common factor of 8 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -9 - (-6 + -2 - 24).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -305410265?\nAnswer: -305410264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b*h*i**2 - 26*b*i**3 + 98*b*i**2 - h**2 - 945*h*i**3 wrt h?\nAnswer: 4*b*i**2 - 2*h - 945*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/326740 and 32\/218705.\nAnswer: 27119420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5 - 310*u**4 - 31231*u**3 - 1041326*u**2 - 3541172*u + 4614040 = 0. What is u?\nAnswer: -122, -62, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5524 + 0?\nAnswer: -5524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*x = 7*x - 12, 0 = -3*u + 2*x - 8. Let c(j) = -j**2 + j - 4. Suppose 76 = 38*r - 38. Let p(z) = -2*z**2 + 2*z - 5. Calculate r*c(o) + u*p(o).\nAnswer: o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 3:25 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 19*p**2 + 18*p + 67. Let j be x(20). Let h be (4\/6)\/((-1)\/(-27)). Calculate the greatest common divisor of j and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k**2 - 417*k - 38. What is i(38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 + 0*u**3 - 6*u**3)*(-2*u + 2*u + 3*u)*(-4 + u + 4).\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/4 and -10276 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 5:35 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13082919, -26165848, -39248777?\n\"Answer: -13082929*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*n + 141*n - 190 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.4 from 22305242.07.\nAnswer: 22305244.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-338)\/(-1))\/(6\/3). Let r = -69 + x. Suppose -2*f - 3*f - 80 = -4*v, 60 = 3*v - 2*f. What is the highest common divisor of v and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*g = 1099205 - 2683137 - 3078628. Is 92 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6292 is divided by 526.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161046 + 161046 - 9585*k.\nAnswer: -9585*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32.1 - 0.2.\nAnswer: 31.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -227*q**2 + 77?\nAnswer: -454*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 932, 1540, 1898, 2012, 1888, 1532?\n\"Answer: i**3 - 131*i**2 + 994*i + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(190) + sqrt(190)*3 + sqrt(190))*-2)\/(sqrt(10) + (sqrt(490)*1 - sqrt(490))).\nAnswer: -40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/(-90)*(-250)\/(-300)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Sort -1, h, 0.\nAnswer: -1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 8*a - 3. Let o be w(8). Let z be (-8)\/6*(-141)\/94. Suppose -z*l - 33 = -29. Sort -25, o, l in increasing order.\nAnswer: -25, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 1. Let g(l) = 3*l + 3. Let k(q) = g(q) + 2*h(q). Let y be k(-3). Let a(u) = 3 - y + 6*u - 1. Let p(v) = 2*v**2. Give p(a(m)).\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -14*n**3 - n**2 - 10*n + 39. Let z be l(3). Let s = 704 - z. What are the prime factors of s?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/12)\/((-3)\/12). Solve q = -2*n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 12*f + 4. Suppose 0 = 4*i + 75 - 75. Let m be g(i). Solve 5*l + 3*a + 4 = -2, m*a = 3*l - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*n + 23874*k**2 + k*n - 7606*n wrt n.\nAnswer: -k**2 + k - 7606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 308692594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/97 (b) 2\/9 (c) -1 (d) 1.55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -38*v**4\/3 + 6*v**3 - 2*v - 28. Find the second derivative of l(n) wrt n.\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*c + 44, -5 = -c + 3*z - 8*z. Let t be (20\/c)\/((-4)\/6). Let p be -5*(-3)\/(-6)*t\/(-5). Solve 3*a - 4 = -p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -5, -0.1, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -51086430*a**3 + 47410*a**2 - 47410*a - 23705. Let b(l) = -6465*l**3 + 6*l**2 - 6*l - 3. Give -23705*b(t) + 3*v(t).\nAnswer: -6465*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 138.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17556*d**2 + 12679*d**2 + 481*d**2.\nAnswer: 30716*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:49 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*n*x + 906*j*n + 142*j*x - 132*j + 2*n*x - 21*n - 76*x wrt n.\nAnswer: j*x + 906*j + 2*x - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 86*c**2 - 2\/3*c**5 - 92\/3*c - 6*c**4 - 80 + 94\/3*c**3 = 0?\nAnswer: -12, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (219\/292)\/(30\/464)*40. Solve 0 = 462*n - f*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let q be (1 - 2) + 30\/45. Which is the nearest to m? (a) q (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:25 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-13 + -3) - -26.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 372021953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/21 (b) -0.1 (c) 1505\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/269?\nAnswer: -12\/269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -92, 527, -1, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -358187\/198 - -1809. Calculate the common denominator of t and 121\/24.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -11. Solve k = -o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778419 is divided by 257699.\nAnswer: 5322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170 - 98. Let q = 113.9 + -180.9. Let h = f + q. What is the third biggest value in -2, 2\/3, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/7 - 199\/133. What is the third smallest value in -0.3, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8599 + 8608. Solve 5*b + 17 - 30 = 2*t, 5*b - t - k = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37953, -75912, -113873, -151836, -189801, -227768?\n\"Answer: -x**2 - 37956*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c - 2*c + 53 = 149 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*z + 57 - 593 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15936.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, z: 2}. What is prob of sequence czz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 925805.5 centimeters to millimeters.\nAnswer: 9258055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2133 - 75 = 0. Let o = p - 293. What is the highest common factor of o and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*a + 34. Calculate the highest common factor of 68 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -21*p**3 + 3*p**2 + 10*p**3 - 4 - 5*p + 12*p**3. Determine i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/10)*z\/(z*z\/((z*z\/(z\/(z\/(z*z**0\/z*z))))\/z*z*z))*z)**(8\/7)*(z**4\/(z\/(z**(4\/5)*z*z)))**(1\/19) assuming z is positive.\nAnswer: z**(257\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by -9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = 0, 0 = 5*b - 4*g - 0*g - 12. Solve b*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 0 - (-3057)\/(-21). Let p = i - -144. Sort -3, p, -0.1 in increasing order.\nAnswer: -3, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*u - 9. Solve t - u = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240181 divided by -1.\nAnswer: -240181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*z**2 + 255*z**2 - 99*z**2.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 65*k + 14798 = -67*k, 2*z + 3*k = 9874. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 7*n**2 - 4*n - 9. Determine y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 8*v - 7. Let p be 32\/4 - (135\/75 + (-45)\/25). What is n(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 12, 3, -22, -69, -144?\n\"Answer: -l**3 + l**2 + 5*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -9 + 7 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -33, -166, -425, -852, -1489, -2378?\nAnswer: -3561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3310211 + 1013?\nAnswer: -3303132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 11, j: 8}. Give prob of sequence jj.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21110022 (base 4) to base 8\nAnswer: -112412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/13 - 2824\/(-104). Suppose 2*k = -k + v. Solve -5*p - l - 9 = 0, 2 = -4*p + 3*l - k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + z + 2. Let p(g) = 9*g**3 - 20*g**2 + 6*g + 12. What is 6*h(r) - p(r)?\nAnswer: -3*r**3 + 20*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + 172. Let c = q + -17. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329593256.\nAnswer: 2, 4441, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1905 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + k**3 - k**2 + (-2*k + k + 3*k)*(-6*k**2 + 12*k**2 - 4*k**2) + (1 - 7 + 1)*(-2*k**3 - 2 + 2) to c*k**2 + i + w*k + m*k**3 and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 0*h + 0*h**2 + h**2 + h. Suppose -c = l + 2*l + 6, 0 = -l + 4*c + 11. Let o(j) = -4*j**2 - 3*j - 1. Let v = 225 + -227. Calculate l*o(s) + v*m(s).\nAnswer: 2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 27196175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13533 + 4011?\nAnswer: -5522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 56 = -2*g, 4*w = 3*g - 0*g + 54. Suppose 5*h = 5*p + h - 22, 2*p - 7 = h. Solve p*z = -2*z - w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*y - 0*y - 4134, 5*y + 10341 = -3*s. What is the tens digit of ((y\/(-12))\/23)\/((-2)\/(-228))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1 = u, -3*o - 9*u + 6*u + 18 = 0. Let x(n) = n + 1. Let r(t) = 8*t + 2. Let s(b) = r(b) - x(b). Calculate s(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 2*u**2 - u - 2. Calculate p(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 108369.604 to the nearest 10.\nAnswer: 108370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 3. What is v(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from meyuuymmuyyuumy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5893619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38664619 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 8 = -3*w, 2*a = -58*w + 60*w - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, p: 1, u: 4}. What is prob of picking 2 o and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.68 + -3.79. Let j = -3.01 - 0.69. Let t = j - y. Round t to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 290*x + 2281. Give u(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(88)*1 + sqrt(88)) + sqrt(88) - (sqrt(88) + sqrt(88)*2*-2))*-4)\/(5*sqrt(392)*2 + (sqrt(392) - -5*2*sqrt(392))).\nAnswer: -64*sqrt(11)\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272203?\nAnswer: 272203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -18*a - 280. Calculate h(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1701*a + 1697*a + 10*a**2 + 1707*a - 5105*a.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -1\/960*d**6 - 5\/192*d**4 - 1\/120*d**5 - 1\/24*d**3 + 11*d**2 + 0*d + 0. Find m, given that o(m) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 18764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 11735\nAnswer: 4\/11735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26219192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73465 is divided by 9168.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 1446328900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*a = -65*a - 27. Solve -3*h = a, 3*r = 8*r - h - 28 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/60 and 19\/55.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.8038445ms to hours.\nAnswer: 0.00000133440125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6206 and 21614.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -78623 minus -55699?\nAnswer: -22924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 6*p + 10. Let f be y(-7). Suppose -556 = -f*d - 211. Suppose 4*s + 25 + 72 = 5*i, 5*i + 5*s = d. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2369 + 1406 + 12621 = 7115*n - 9687 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.2, 1\/7, -7, 5\/3 in decreasing order.\nAnswer: 5\/3, 1\/7, -0.2, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -4*n**7\/7 - n**3 - 1. What is the third derivative of r(j) wrt j?\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1826381505 to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 9*t**2 - 20*t - 20. Let j be r(-9). Suppose 3*g - 462 = -3*i, 2*g = 4*i + j + 148. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 69, 48, -55, -234, -483?\n\"Answer: s**3 - 47*s**2 + 113*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(2 + 0 + 0)*((-4*j + j + 2*j)*(4 - 4 - 2*j) + 0*j**2 + 0*j**2 - 3*j**2 - 6*j**2 + 4*j**2 + 0*j**2).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7395 and 2040?\nAnswer: 59160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*k + 19, -x + k + 12 = 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 820*w - 408*w - 409*w. Let x(d) = 2*d - 153. What is j(x(s))?\nAnswer: 6*s - 459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - -0.1. Let o = t + -0.42. What is the second biggest value in 0.4, o, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 3*q + 2. Let k be s(3). Let h be (0\/5)\/(k\/2). Solve h*l = -2*l - 2*n - 18, -16 = 4*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582030 is divided by 96934?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, n: 1, f: 2, a: 1, x: 1}. What is prob of picking 1 a and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/3 - 6*g**4 - 109*g**3\/3 - 84*g**2 - 160*g\/3 = 0 for g.\nAnswer: -8, -5, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9\/(v\/v**(3\/4)*v))**27 assuming v is positive.\nAnswer: v**(837\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3277.76 rounded to the nearest ten?\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1082124 divided by 74\nAnswer: 541062\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**14))**(-21)\/(w**(-25))**44 assuming w is positive.\nAnswer: w**806","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38, -10, -24, -176, -562, -1278?\n\"Answer: -16*x**3 + 75*x**2 - 85*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 17.948. Let p = 0.008 - o. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 5842*m**2 - 243752*m - 881600.\nAnswer: -(m + 4)*(m + 38)*(m + 5800)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.069 and -1?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -18*u - 575. Determine a(-26).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 301993829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 982, 985, 988, 991, 994, 997?\n\"Answer: 3*k + 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 700a5 (base 14) in base 5?\nAnswer: 32102212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-5 + 6*t + 5)*(-2*t**2 + 41*t - 41*t).\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7))**28\/((y\/(y*((y\/y**(-10)*y*y)\/y)\/y))\/(y\/y**3)))**(-5\/8) assuming y is positive.\nAnswer: y**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 92501.02 centuries in months?\nAnswer: 111001224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1539) - (1 + sqrt(1539))) + (sqrt(1539)*2*2 - sqrt(1539)))**2*5.\nAnswer: 1080*sqrt(19) + 69335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 4*h - 12, 0 = -0*h - 5*h - 4*n + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by ((-13)\/6)\/((-11)\/(-1716)*-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 2:47 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4284 (base 13) in base 16?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 8. Suppose c = v - 4. Let q be (-128)\/(-6) + 4\/v. Calculate the highest common divisor of 198 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -310, 2, 0, -35 in ascending order.\nAnswer: -310, -35, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(432) + 5)**2 + 1.\nAnswer: 144*sqrt(3) + 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/31 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 184*k**2 - 1582*k - 1211. Calculate c(-175).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220358415?\nAnswer: 3, 5, 14690561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(208) + -1)*2 + sqrt(208))**2*-4.\nAnswer: -384*sqrt(13) + 15008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/8 - 159*f**2\/8 - 4305*f\/4 + 8379.\nAnswer: 3*(f - 84)*(f - 7)*(f + 38)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167 + -163. Solve -8*i = -6*i + m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 1815?\nAnswer: -1815.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/1251 and -19\/135.\nAnswer: 18765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360859, -360869, -360889, -360925, -360983, -361069?\nAnswer: -361189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = 42. Suppose -4 = -u*o + 11*o. Calculate the lowest common multiple of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17172993\/10 + 6829029\/4. Let a be 16\/4*(-10037)\/(-4). Let s = d + a. What is the common denominator of s and 55\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 1797?\nAnswer: -1796.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by ((-4)\/(-14)*(-1)\/2)\/((-526)\/84686)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*w - 141*w + 287*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d - 9*d + 5*d + 52 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 160 - 22*z + 124 - 292 + 7*z - z**2. What is v(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4095 and 35.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 4*y - 5, -2*l = 3*y - 783 + 788 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-40)*5*-3*(-4)\/(-48).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-792)\/(-176) + 153\/(-30)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 3*x**2 + 4*x + 1. Let j = -4 + 8. Let t be h(j). Calculate the remainder when (-6 - -40) + t*-3 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgbbjhs. Give prob of sequence hs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r. Suppose 0 = -o + 2 - 0. Suppose -3*s = 15, -y - 5*s - 31 = -6. Let q(b) = y + 2 - o + b. Determine 2*m(a) - 3*q(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104434 - -56224?\nAnswer: 163661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {f: 1, j: 1, r: 7, l: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13716?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 11*x - 13. Let v be m(3). Suppose v*t - 3702 = -5*q + 2644, -9509 = -3*t - 5*q. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {s: 1, h: 4, e: 4, b: 1, j: 3}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*k - 4, -3*i - 2*k = -4*i + 4. Suppose i = 3*d - 0 + 6. Let j(v) = v + 1. Give j(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from xyx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-10)*(36 - (18 - -18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147046662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 - 21*r - 103. What is the thousands digit of u(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21c0 (base 16) in base 7?\nAnswer: 34122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 77850 divided by -1730\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*w - 6 = -0*w, -w - 9 = -h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (-2*sqrt(153) - sqrt(153)))**2 + sqrt(17) + 5 - -4*sqrt(34)\/sqrt(2)*-3) + 2.\nAnswer: -11*sqrt(17) + 619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 9761 = -3*t, -4*t = 3*c - t + 7317. Is (c\/6)\/(28\/21 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4*sqrt(5))**2)*5.\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/15, -14, -2, -4, -3\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 344*n**3 + 7044*n**2 + 15136*n + 7744.\nAnswer: 4*(n - 44)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7380.82 rounded to the nearest 10?\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**4\/4 + 3*g**3 + 5*g**2 + 6*g + 3. Let d be p(10). Suppose -w + 0*w + d = 0. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*n - 2*m, 6 = -3*n - 4*m + 57. Solve -3*t - y - n = 0, 0 = 2*t - 5*y - 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 0*k - 16 + 6 - 7*k. Let b(h) = -6*h - 10. Let a(c) = 6*b(c) - 5*n(c). Determine a(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 5, -1015 in descending order.\nAnswer: 5, -0.2, -1015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + 2*-3*sqrt(170))\/sqrt(10).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117738*m**4*w*y + 2*m**2 + 7566*m*w + 9*m*y + 4 wrt m?\nAnswer: -2825712*m*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1040480063 divided by 684977\nAnswer: 1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1 + 3*r**2 - 4*r**2 - 118*r**3 + 90*r**3. Determine p(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54501 is divided by 617?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 494737 + -289016. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 39*p**2 - 504*p - 44. Determine h(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -67. Let a = h + -21. Let r be (-6 - 3)*3\/18*-1. What is the closest to a in r, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100630, -201267, -301892, -402499, -503082?\nAnswer: -603635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 33*s**2 - 73*s - 12. List the prime factors of o(30).\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than 26646052047?\nAnswer: 26646052047.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 1, k: 5, a: 8, s: 3}. Give prob of picking 1 s and 1 a.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/14*(5 + 2). Let u be ((-2)\/(-4))\/((-1)\/(-2)). Differentiate 0*s**4 - s**4 - 2 + u - 3*s**l wrt s.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 13*d = 20. Let l = 1198 - d. Suppose 0 = -2*i + l + 629. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 7223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121957, 243910, 365863, 487816?\nAnswer: 609769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 9 + 0 + 0 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-9 + 5 - -9) + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {n: 1, g: 1, v: 9, s: 4, q: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -16. Let x be 30\/25*i\/6. Sort 5, x, -2 in descending order.\nAnswer: 5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-1) + -4 + -101. Let i = a + 175. Let b = 73 - i. Solve 5*n + 10 = -b*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 286 + 1798 = 0. List the prime factors of r.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 + -0.03717?\nAnswer: -0.07717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*j - 22 = 0, 3*j - 19 = n - j. Let i = 6 + n. What is the third derivative of p**4 + 2*p**2 - p**2 - i*p**2 wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 2*b**2 + 11*b + 43. Let d be l(-3). Solve 0 = 15*p + 46 - d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0 + 4 = 0. What is the common denominator of 28\/13 and 68\/(-5)*c\/8?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129764 + 10943 = 7*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 841586.22 nanoseconds?\nAnswer: 0.00000023377395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, t: 4, l: 1}. Give prob of picking 1 t and 3 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m**(2\/3))\/((m\/(m**6*m))\/m*m*m**(-4)*m))**(1\/10) assuming m is positive.\nAnswer: m**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*n = -89*n - 4*a - 22, 4*n + 5*a = 9*a - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14217, 14134, 14059, 13992, 13933?\n\"Answer: 4*z**2 - 95*z + 14308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*s - p, -37 = -3*s - 2*s - 4*p. Suppose 4*i - v = -22, 54*i = 50*i - 4*v - 12. Sort s, i, -1, 2.\nAnswer: i, -1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + u**3 + 3*u**3)*(-30 + 30 + 5*u + u**2 + (1 + 7 - 3)*(u - u - 2*u**2)).\nAnswer: -18*u**5 + 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(4))\/sqrt(9) + -6*-1*sqrt(3).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u + u - 10*u)*(-50 - 107 + 80)*(0 - 1 + 3 + (1 - 5 + 3)*(0 + 0 - 2))*(-3 + 0 + 1) to h*u + t and give h.\nAnswer: -8624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:49 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134108 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 144913*z + 93.\nAnswer: 144913*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/28*-4 - -25?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 10 - 12) + 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 8*v + 16. Let m be p(-4). Suppose 4*z = -9*q + 4*q - 20, -q - 4*z - 20 = 0. Find o such that m + 3\/2*o**3 - o**2 + q*o = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(130)\/(1*sqrt(10)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 22*l**3 - l + 1. Calculate a(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 22, 55, 104?\n\"Answer: 8*c**2 - 7*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 5*q**2 - 3*q - 5. Let t be u(6). Let z(r) = r**2 - 14*r - 270. Let d be z(-11). Solve t = d*f - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 13.42. Let n = 1.42 - h. What is the third biggest value in -1\/8, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 272790 and 416498.4.\nAnswer: 689288.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13045 or -13014?\nAnswer: -13045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 7 - (-2)\/2. Let l(f) = -7*f**c - f - 7*f - 1714*f**3 + 2*f - 8. Let v be l(-6). What is v rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 4*u - 21, 7*f + 2 = 10*f - u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -16*n**2 - 63*n + 8. Calculate i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -11. Let y be (-33 + 26)*(-2 - (-68)\/(-14)). Suppose -4*p + y = 12*p. Sort 1, z, p in descending order.\nAnswer: z, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1344*q**2 + 36*q - 4779?\nAnswer: -2688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 25*q. Let n(i) = -4*i**2 + 35*i. Let w(d) = -4*n(d) + 7*t(d). Let m(r) = -r**2. Calculate m(w(z)).\nAnswer: -4*z**4 - 140*z**3 - 1225*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*r - 3. Let o be 1\/2 - (-9)\/(-2). Let h be 24\/15*(-10)\/o. Which is smaller: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 7*x**2 + x + 10. Suppose 0 = -2*k + 2*t + 20, 14 + 20 = 3*k - 5*t. Calculate the remainder when k is divided by r(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 317, 336, 363, 404, 465, 552, 671, 828?\n\"Answer: y**3 - 2*y**2 + 18*y + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.2. Suppose m + 3*p = 21, 5*m - p - 3*p - 48 = 0. Let n be ((-8)\/30)\/(m\/18). Which is the biggest value? (a) l (b) n (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 1. Suppose -6*n + 0*n = 36. Let m(i) = i + 1738*i**2 - 1730*i**2 + 6 - 3*i. Determine n*v(p) + m(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 664*f + 480. Let n(b) = 661*b + 481. Let u(y) = -4*n(y) + 5*s(y). What is the derivative of u(w) wrt w?\nAnswer: 676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence biu when three letters picked without replacement from iuzbi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.7 times -0.1?\nAnswer: 1.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 7*j. Put 10, j, 5, 4 in decreasing order.\nAnswer: 10, 5, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = z + 52800. Round z to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*d - 1137*d - 1932 - 15493 = 0 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 0 (b) 0.2 (c) 5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3175, -4, 5, 1, 2 in descending order.\nAnswer: 3175, 5, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**8\/1260 + i**7\/315 - i**6\/270 - i**3\/3 + 43*i**2\/2 - 50. Let z(v) be the third derivative of k(v). Factor z(b).\nAnswer: -4*b**2*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 709285\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 19*o**2 - 19*o + 27. Let k(g) = -2*g**2 + 25*g + 73. Let m be k(-3). Calculate the remainder when 55 is divided by n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8798*q - 8798*q + 3079*q**3.\nAnswer: 3079*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 1\/849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 820.45506 + -797.455. Let u = r - 23. Round u to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -228400 != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 348 + -0.08158099103\nAnswer: 347.91841900897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847152434.\nAnswer: 2, 423576217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9055181119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 3*k - 32 = -2*j, 5*k + 1751*j - 1759*j - 40 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -510123.\nAnswer: 4\/510123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9}. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 20*h**2. Suppose 2*g + 2*v = v + 46, 2*g + 2*v - 44 = 0. Let i(r) = -g*r + 21*r + 2*r. What is i(n(u))?\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.0071 + 0.0071. Let g(w) = -w**3 - 10*w**2 - 8*w + 1. Let m be g(-9). Sort j, 0.1, -0.1, m in ascending order.\nAnswer: m, j, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 2 (c) 90 (d) -65\/7 (e) -2\/3 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:17 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 + 4*w**2 - 5*w - 1. Let g be p(2). Let s(i) = 2*i + 56. Let x be s(g). Calculate the greatest common divisor of x and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 135243.4 litres?\nAnswer: 135243400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 895 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 107*r + 3*r**2 - 2*r**2 + 91*r - 198*r.\nAnswer: r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2129, -4361, -6591, -8819, -11045, -13269?\n\"Answer: a**2 - 2235*a + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from qnrbsqqqqqqrqm?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3 and 28\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122410044 + 110?\nAnswer: -122404434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -14851310 equal to -14851305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49.85 and -1.\nAnswer: -49.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 476012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76313641 is divided by 18815.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/9)\/(-4))\/((-6)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219733, -439473, -659211, -878947, -1098681?\nAnswer: -1318413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6069290 is divided by 168591.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4578 + 4578 + 590*c.\nAnswer: 590*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.4 - -5.9. Let f = -3\/67 + -728\/201. Let l = 65\/21 + f. Sort 5\/3, p, l in descending order.\nAnswer: 5\/3, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 36. Is 39 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r + 18. Let f(g) = -1. Let c(h) = b(h) + 18*f(h). Let y(k) = 5*k. Determine c(y(i)).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-684)\/95)\/12 - (-26)\/10. Suppose 1\/4 + 1\/4*t**i + 1\/2*t = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 741321*k**4\/4 + 861*k**3 + 3*k**2\/2 - 6216*k + 2. Suppose t(n) = 0. What is n?\nAnswer: -1\/861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -66?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -8. Suppose 3*c + h*a - 12 = 0, -4*c + 8 = -5*a - 8. List the prime factors of ((-5)\/(-2) + -1)*c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 17, 23, 27?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.85983 rounded to two dps?\nAnswer: -20.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/12)\/(20\/16). What is the closest to 1 in -3\/2, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (4 + 2 + (-12)\/2). Suppose o*b = 24 + 6. Calculate the remainder when 48 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4218 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 - 2*u - 91 + 63 + (-2*u - u + 2*u)*(3 - 4 + 2) + 1 - 1 - 2*u.\nAnswer: -5*u - 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46.6 - -52. Let t = 0.34 - g. Let o = t + 0.06. Which is the second biggest value? (a) o (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/9 + 3622*m - 29517489 = 0. What is m?\nAnswer: 16299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8419, -8417, -8413, -8407, -8399?\nAnswer: -8389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*k**3 - 6*k**2 + 336\/5*k + 5096\/5 = 0. What is k?\nAnswer: -14, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -137.53238 minus 0.04744098?\nAnswer: -137.57982098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 13\/(520\/(-560)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 8. Let b be 9*-1*2\/(-3). Let q be g(b). Let a = 4 - q. Solve a = -n + 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 254 - 164. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2. Let n(o) = 1652583*o. What is c(n(l))?\nAnswer: -2731030571889*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j - 2*j + 16 - 53 - j in the form f + h*j and give f.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*a**2 + 20*a**2 - 179*a**2 + (-6*a + 3*a + 2*a)*(3*a - 5*a + 4*a))*(-a - 4*a - 6*a).\nAnswer: 1518*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10012344 (base 5) to base 6\nAnswer: -1410111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4979 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 the units digit of 560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 + 13*z + 14. Give f(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 - 60*k - 104 = 0. Calculate k.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10}. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 6*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 54.5. Let m = y - -20. Put -5, m, 4 in increasing order.\nAnswer: -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**4 - 3 + 4*w + 2*w**2 + 1 - 5*w + w**2 as s*w**3 + u*w**2 + o*w**4 + p*w + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, k: 2, o: 1, m: 3, w: 1}. What is prob of picking 1 m and 1 k?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 1011001?\nAnswer: 1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 5*j + 286. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4471 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i + i**3 - 5*i + (-3 - 1 + 2)*(-1 + 2*i**3 + 1) + 12*i - 12*i - 6*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1193*g + 1239*g - 285*g - 906*g + 2352*g.\nAnswer: 3593*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 10*a**2 + 20*a - 17. Let y be s(8). Let z be 75\/y + (-8)\/(-4). Calculate the greatest common divisor of 84 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1302\/(-77) + 11\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -20. Let q be (-10)\/(-3) + 6\/y. Differentiate -1 + 2*k + 6 - q wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -7 (b) 3 (c) 8.2 (d) 9 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 2\/21, -2\/19, 3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000 - 10?\nAnswer: -1111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**4\/12 - 3*h**2. Let r(c) = 38*c. Calculate 2*r(p) + 36*s(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(35\/(-7) - -4). Solve -37*i + 32*i + 10 = m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 36\/14) + 3410\/(-770)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 510 - 510.000003685. Round c to seven decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -41.3. Put 2, 4, o in ascending order.\nAnswer: o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 21909105.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1834147 (base 9) to base 2\nAnswer: 11111010100111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 54\/5, 9, -0.2, 3 in descending order.\nAnswer: 54\/5, 9, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42*(-3)\/(-9)*1. Suppose -4*h + 2 = -i. What is the second derivative of -2*c + h*c + 0*c + 4*c**2 - 4*c wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l**3 - 6*l**2 + l. Let d(z) = -17*z**3 - 15*z**2 + z. Determine -2*d(i) + 5*y(i).\nAnswer: -6*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102 - 74*q**4 + 184*q**2 - 184*q**2 + 11*q**4 wrt q.\nAnswer: -252*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -369, -365, -359, -351, -341, -329?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l - 2. Let p(i) = -2*i**2 + 36*i - 35. Let g be p(17). Let n(d) = -1 + 5 - 4 - d. Determine g*a(j) - 3*n(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -500.459 and -0.055.\nAnswer: 27.525245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 482134818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s + 4 - 251 = 0. Is 33087 - ((-56)\/8 + s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 19*g**2 + g + 8. Suppose -12*z + 17 - 53 = 0. List the prime factors of c(z).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 684 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 5. Let n(h) = h**2 + 10*h + 2. Let j be n(-8). Let i(g) = -6*g**2 - 14. Let c(l) = j*u(l) + 5*i(l). Let d(p) = 7*p. Give d(c(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*k + 476, -8 = -18*k + 22*k. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 2*s - 7, 5*v = -3*s + 17 - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8 + 22*r + 9*r**2 + r**3 - 22*r. Calculate the remainder when q(-9) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 0, -19, -54, -111, -196?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 8 + 10*c**2 - 3.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 8:12 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 30. Let b be w(12). Solve -2 + b = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**4\/2 + 6*t**3 + 21*t**2\/2 - 33*t - 36 = 0.\nAnswer: -2, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/66127 or -1?\nAnswer: 4\/66127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 382093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37769 + -37763. Suppose -2*d + 78 = -74. What is the smallest common multiple of a and d?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57484797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -31*b**2 + 724*b - 4221. Determine k(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from {g: 2, f: 2, k: 2, y: 1, b: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y + 119. Let q(c) = -c - 2. What is -h(z) - 3*q(z)?\nAnswer: -2*z - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 0.1 (b) 0.5 (c) -4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2135720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -23.125.\nAnswer: 19.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3805 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k = -10*k - 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11135720 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -37b8c (base 13) to base 4\nAnswer: -121021331","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**3 - 45*x**2 + 1365*x + 14365 = 0.\nAnswer: -13, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/(-77) - 5\/110*-312346 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**5 + 150*m**4 - 1265*m**3 + 2100*m**2 - 980*m.\nAnswer: -5*m*(m - 14)**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(125))*3)**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = x + 5, 718 = -200*m - 3*x - 813 + 137 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/3 + 49*d**3 - 3164*d**2\/3 + 4636*d = 0. What is d?\nAnswer: 0, 6, 19, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 101112?\nAnswer: -101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45042301 (base 6) to base 13.\nAnswer: 3875c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g + 20. Let i(p) = 7*p + 40. Calculate 3*i(j) - 5*k(j).\nAnswer: j + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 10:51 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 10:12 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247.603 millilitres in litres?\nAnswer: 2.247603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 9*r - f - 30, 4*f = 5*r - 45 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24.94 (b) 0 (c) 1381.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -40. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 26 = -2*k, 0*a - 452*k = a - 447*k + 19 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 949436 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*j + 145*j + 18 + 10 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 23*y**2 + 12*y + 19. Let l be s(-2). What are the prime factors of (l + -14)\/(1\/((-2)\/(-2)))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - o + 237 - 233 = 0, -o = -4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142140 - 1?\nAnswer: 142134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9deb (base 16) in base 9?\nAnswer: 61408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 32*r**2 - 18*r**2 - 6*r + 36*r**2 - 10 - 3*r**2. Is i(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1056 and 363.\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35431051?\nAnswer: 491, 72161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m + 753060*m**2 - 9253060*m**2 + 0*m - m + 1. Let c be q(1). Round c to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 5 - 3)*(-58982*t**3 + 58982*t**3 - 2287*t**4).\nAnswer: 22870*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2. Let x(s) = -12*s**2 + 1887 - 1887. Determine b(x(v)).\nAnswer: -720*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*g - 14*g - 1216. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 166113 - -14?\nAnswer: 166130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**4\/24 + 24*f**2. Let k(s) be the first derivative of -s**3\/3 - 6. What is p(k(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 + 58.9. What is the closest to -1\/2 in 2, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 1. Let u be g(3). Suppose u*k + 20 = -2*k, 0 = 3*t + 4*k - 10. Solve -5*y + 10 = 0, 5*y - t = n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 327*r + 981. Let p be x(-3). Is p smaller than 110\/243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*k**6 - 174*k**5 + 2*k**3 + 3880562*k**2.\nAnswer: -2400*k**3 - 10440*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 + 9\/(54\/4)*-6. Let p be -1 - (i\/2)\/((-27)\/(-36)). Suppose p*t + 234 = 10*t. Is 26 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbvbtjvb. Give prob of sequence tbb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + o = 12, -2*a - 2*o - 39 = -o. Let m = -12 - a. Let r(x) = m*x - x - 3*x**2 + 2*x**2 + 5 - x. Calculate r(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/(-52)*(-4)\/10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 28480*d + 341686. Calculate f(12).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faaaaaffffaffa. Give prob of sequence fff.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 1, r: 1, i: 1}. Give prob of picking 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p - 1392 = -10*p. Let d = p + 70. What is the highest common factor of d and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -31. Let b = -15 - -36. Calculate the remainder when b is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 4:01 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/36 and 7\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_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 h(l) = l**2 - 6*l + 7. Let f be h(5). Suppose b - 10 + 0 = f*i, -i = 3. Suppose -u - 13 = -3*p, -b*u = -0*u + 2*p - 18. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 12 - 8*j - 4 + 0 - 6*j**2 + 14*j. Determine o(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11486070.95 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -17*z**5\/2 - z**3\/3 - 357*z**2\/2 - 60*z - 3. What is the second derivative of o(d) wrt d?\nAnswer: -1020*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44 + 8*f - 6*f + 5*f**2 + f + f**4 - 4*f wrt f.\nAnswer: 12*f**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1304 and 7747227?\nAnswer: 61977816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) -2\/9 (c) -86 (d) 1\/2 (e) -0.032 (f) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (14 - -8)) + 6 - -33.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from ifqlqike.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 1681873376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.874*10.19.\nAnswer: -39.47606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1124 - 845 + 1097 - 798 + 1911 + 967)*(0*b - 3*b + 4*b).\nAnswer: 3456*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 + -22?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1108282 and 7203833?\nAnswer: 14407666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74715408 a multiple of 2654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3889*k - 224. Let i(t) = 7778*t - 392. Calculate 4*i(h) - 7*q(h).\nAnswer: 3889*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 38*r + 418. Let j be 5\/(-25)*(r + 12). Solve -2*o - 2 = j, 3*d - 4*o = 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 16) to base 2\nAnswer: 100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110032 divided by -1196\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 210 and -3663.8?\nAnswer: -769398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35049540 or -35049526?\nAnswer: -35049540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 6 = 90. Let i be 19\/4 + 18\/z. Solve i*g - 4 = p + 3*p, -5*p = -4*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6. Let s(r) = r + 11. What is -11*k(y) - 6*s(y)?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 98. Let m be u(-46). Let c be ((-96)\/m)\/(2\/9). Solve -4*l + 2*s = 12, s = c*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 14 - 120. Does 47 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3590 and 54568.\nAnswer: 272840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 602106707 to the nearest integer?\nAnswer: 24538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.31982 + -0.32. What is a rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.1, -0.5, -3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 2504610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92, -201, -328, -473, -636?\n\"Answer: -9*d**2 - 82*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 384250 * 32.\nAnswer: 12296000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a - 3*a + (0 - 4 + 3)*(a + 4*a - 7*a) + 2*a - 4*a + 3*a + 2*a + 0 + 0 + 2*a + 0*a + 0*a)*(-2*a + 5*a - 4*a)*(a + 4*a - 3*a).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -762 - -86.9822812?\nAnswer: -675.0177188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -8\/9*p**3 + 0*p**4 + 2\/9*p**5 - 4\/9*p**2 + 4\/9 + 2\/3*p = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 18 + 14*b - 9 + b**2 + 0*b**2 + 6. Let i be u(-13). Put i, 13, -5 in increasing order.\nAnswer: -5, i, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260091 is divided by 52017.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -59*f**3 - 2*f**2 - f. Let r = 1 + 19. What is the remainder when j(-1) is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g**2 + 4*g + 5. What is z(-2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i. Let v(k) = -3*k - 4. Let c(n) = -4*r(n) + v(n). Suppose f + j - 4*j - 2 = 0, -2*f + j + 14 = 0. What is the units digit of c(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1487.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyoccjaajyoaaky. What is prob of picking 1 a and 1 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1437.561409 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 4:00 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-9) - 3\/9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0633 - -0.0367. Suppose 7*y - 24 = y. Let g be (y - (-30)\/(-9))\/6. Which is the nearest to t? (a) g (b) 4\/9 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5195, -5138, -5077, -5012, -4943, -4870, -4793?\nAnswer: -4712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 0*l**3 + 7*l**3)*(0 + 2*l + 0) + (18*l + 20*l - 7*l)*(-2*l**2 + 2*l**2 + l**3).\nAnswer: 41*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 267147541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.06 + 1.06. Let v = 911 + -6381\/7. Which is the second smallest value? (a) 17 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -677 - -675.206. Round w to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5958 (base 11) in base 15?\nAnswer: 24a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 3182*r**2 + 6367*r + 3184.\nAnswer: -(r - 3184)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1154*n - 1138*n - 5*p - 2 = -13, -7 + 8 = -3*n + 2*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 120721, 241452, 362183, 482914?\n\"Answer: 120731*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -256*o + 4356. What is c(22)?\nAnswer: -1276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 9 - 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*i + 30. What are the prime factors of (-356)\/(-18) + i\/(-27)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 54, 122, 220, 348, 506?\n\"Answer: 15*d**2 - 7*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -1 - (-2)\/2. Let n be (2 - -2 - -1)*p. Suppose -n*a = -148 - 42. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*h - x + 18 = 0, 0 = -5*h + 3*x + 74. Calculate the remainder when 25 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2 - 189*t - 1059. Calculate q(-32).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 14253340301?\nAnswer: -14253340313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 10*d**2 - d + 11. Let i be (-16 + -3 - 1)\/(-2). Let n be b(i). Sort n, 4, 0.\nAnswer: 0, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-6))\/(-2)*-3. Solve -15 = -t*b - 5*o, -b + 5*o + 20 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 12 = 0, -131 = 368*l - 370*l + 5*w. Calculate the highest common factor of l and 10382.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303681853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63.41 - 61. Let d = 0.21 - g. What is d rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3*u + 52 = -0*u + 31, -4*c = -u + 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**5\/4 - 7*f**4\/12 + 3*f. What is the third derivative of i(s) wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 10. Suppose 0 = -p + 8 + 1. Let w be f(p). Let b = w - 3. Solve 0 = -z - 4, b*d = z - 0*z + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107 (base 10) to base 11.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4307093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -127, -177, -213, -229, -219?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -115185.908?\nAnswer: 115185.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103 + 188. Suppose 0*r + y = 5*r. Suppose -7 = 3*l + 4*c, 6*c = -l + c - r. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -34*p - 120. Calculate f(-10).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-28)\/(-30))*9\/((-594)\/(-8)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -0.7. Let u = -0.4 + y. Let k = u + 0.0998. Round k to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 1. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1000)\/(-225))\/((-10)\/(-162))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18123 and 18123?\nAnswer: 18123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 2. Suppose -2*c = -y*c + 8. Determine l, given that 2*l**3 - 4*l**2 + 0*l**2 + c*l + 0*l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -1\/4*x**4 - 6*x**2 + 0*x + 0 + 0*x**3 + 0*x**5 - 1\/15*x**6. Find the second derivative of j(o) wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*s**2 - 49*s**2 + 22 + 153*s**2.\nAnswer: 11*s**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 461, 1002, 1543, 2084, 2625?\n\"Answer: 541*a - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16487 <= 16482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-528))\/(2*(-3)\/24).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) -0.1 (c) 99 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11890 and 814?\nAnswer: 11076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11736 - -11735.5. Which is the biggest value? (a) w (b) 135 (c) 3 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-3) + (-3)\/9. Let b be 4\/10 + (-56)\/(-10). Suppose -4*r - 3*t = 12, v*r + b = t - 0*t. Sort -1, r, 4 in decreasing order.\nAnswer: 4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 2. Let g(i) = 10*i - 7. Let b(k) = -3*k + 2. Let y be (-11)\/5 - (-2)\/10. Let p(r) = y*g(r) - 7*b(r). What is 2*p(j) - x(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -19963 (c) -2 (d) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -2. Let c = 3 - 0. Let n(p) = -p - 2. Let x be n(-5). Solve -13 = 3*s + l*j + j, -3*s - x = c*j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:34 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*a + 108*a = -265 + 365 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + 203\/(-30) + 4\/(-30). Let m(n) be the third derivative of 0*n - w*n**5 - 2\/3*n**3 - 5*n**2 + 0 + 7\/12*n**4. Factor m(h).\nAnswer: -2*(h - 2)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -36. Let o = 0 - 0. Suppose 0 = w + 5*s - o*s - 19, 5*s - 7 = 2*w. Solve 0 = w*z - 3*p + y, 2*p - 6 = 3*z + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 3*p + 6, -5*p + 1 = -2*x - 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 + -154. Solve 2*z - 5 = -o*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -69 - 125 - -84?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -128.05794.\nAnswer: -128.15794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3030 - ((-72)\/(-33) + (-2)\/11). Is (h\/16)\/((-2)\/(8\/2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 44*k - 1829. Let j be i(42). What is the greatest common divisor of 2660 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 7. Let b be 6*(k\/(-2))\/(-1). Solve 4\/3*t**4 - 1\/3*t + 4\/3*t**2 - 1\/3*t**5 - 2*t**b + 0 = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = 5*a, 0 = -3*c - c + 2*a + 10. Solve 0 = 3*s - c - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 61 = -i + 2*d, d = -4*i + 47. Let h = i + -6. Let u = 7 - h. Solve u*p = 3*p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.649 * 4441\nAnswer: 16205.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/(-35) + (-4)\/(-14). Let k = 2 + y. What is the second derivative of -2*r**3 + 0*r + 0*r + k*r + r wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/460 and -89\/2605656.\nAnswer: 299650440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 78116*q - 3126257. Give w(40).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/(-20))\/(23\/(-2622)). Calculate the greatest common factor of w and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 148487\nAnswer: 1\/148487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4226708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - i - 4, n + 2*i - 82 + 79 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179, -3\/5, 54.\nAnswer: -3\/5, 54, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, b: 3, o: 1, g: 3}. What is prob of picking 1 g and 1 k?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24.083571 and 0.7.\nAnswer: -16.8584997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31065 and -0.01915.\nAnswer: 594.89475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/9 of a hour in seconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 945252 and 117?\nAnswer: 12288276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - h + 120292 = 0, -3*h - 80240 = -2*i + 2*h. What are the prime factors of i?\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-seven halves of a microsecond?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73910401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 85. Let n(j) = -7*j - g*j + 18*j. Let x(h) = -2*h. Give n(x(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Let v = -1.8 + w. Let y = v - 0.2. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -629085 divided by -5\nAnswer: 125817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 6*y + 2. Let v be g(-6). Solve 4*i - v = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 m when three letters picked without replacement from {n: 1, m: 12, p: 7}?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 3*h. Let g be b(-3). Suppose -3 + 8 = 5*v - 5*l, -3*v - 3*l + 27 = 0. Let m be 2 - (v - 4) - -2. Solve m*f + g*f = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-141)\/((140\/(-770))\/(8\/(-132))).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (0 - -9 - (12 + -3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gttggtgg. Give prob of picking 3 t.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 343. Let q(p) = -2*p**2 + 4514541 - 4514541. Determine q(r(x)).\nAnswer: -8*x**2 + 2744*x - 235298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-645)\/2*(363\/120 - 3) + 9. Let d(h) be the first derivative of 3\/10*h**5 - 3\/8*h**2 + 3\/4*h**3 - 3\/4*h + 33 + n*h**4. Factor d(p).\nAnswer: 3*(p + 1)**3*(2*p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -296, -298, -302, -308, -316, -326, -338?\n\"Answer: -p**2 + p - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*z - 14*z - 30*z)*(3 - 2 - 3) + (2*z + 1 - 1)*(-4 + 1 + 1) + 2*z - z + 0*z)*(-3 + 4 + 0).\nAnswer: 93*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5372 is divided by 283?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 447*x**3 + 1801*x**2 - 1353*x.\nAnswer: -x*(x - 3)*(x - 1)*(x + 451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128784 is divided by 136?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 366653235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -3*l + 2 + 1\/2*l**2. Let g be q(6). Solve -2*u + z = -3, -u + 0 - 11 = -g*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24945525?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4 - 10 - 45*p**2 - 10*p**3 - 10*p + 45*p + 16*p**3 + 19*p**3.\nAnswer: -5*(p - 2)*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -1420, -4633, -10848, -21067?\nAnswer: -36292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 247 - 45513?\nAnswer: -45244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 - 994*v**2 + 2*v**3 + 2189*v**5 - 420*v**2 - 535*v**5 + 1020*v**2 wrt v.\nAnswer: 99240*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**5*x)\/x)**(-2\/3)\/((x*x\/x**(-6\/7)*x*x*x)\/(x**(1\/2)*x)))**(-2\/67) assuming x is positive.\nAnswer: x**(33\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1860*q - 5572. Determine k(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(sqrt(3)*-1)*-2)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4 and (123\/120 - 1)*206?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -263.7? (a) -12 (b) 4 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*223.\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142256 - -142255.99999923961. What is v rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4236314 to the nearest integer?\nAnswer: 2058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = -2123*d + 2135*d for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -272 - -283. Calculate the greatest common factor of 55 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(10)\/sqrt(5)) + 0 + 5 + sqrt(30)\/(sqrt(12)\/sqrt(2)))**2.\nAnswer: 20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1513442 - 2?\nAnswer: -1513444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*d + 36 = -o, -4*d = -3*o - 36. Let t be 40\/o*6\/(-5). Suppose 8 = 2*b - 4*s - 0, b - 6 = t*s. What is the greatest common factor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4542, 9111, 13684, 18261, 22842?\nAnswer: 27427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-6)\/(-4))*79. Suppose 5*h + v + 12 = 0. Let s = 65 + h. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*n + 41*n + 78 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560 = -k - 4*k. Calculate the greatest common divisor of k and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 4*y**2 - 5*y. Let r be v(-5). Let w be (-6)\/(-3) - r - 3. Let g = -0.04 - 3.96. What is the third smallest value in 4, g, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 625? (a) 40 (b) 0 (c) -13\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.35 - 0.05. What is the nearest to 2 in -4\/3, -0.02, q?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*g - 2133321 = 69*g. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22918*r + 11381*r + 11539*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*(16\/6 + -2). Let q(u) = -2*u**2 - 4*u - 2. Let r(f) = 3*f**2 + 8*f + 5. Let s(i) = -5*q(i) - 3*r(i). What is the tens digit of s(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 3*u + 1 = 23*b, -15 = -5*b - 5*u. Suppose -i + 17 + 1 = -4*o, -3*i - o = -15. Solve -i*c + 3*c = -b*l - 14, 20 = 5*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 65 = -77, 0 = 4*v + 241*m - 992 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4386774 to two dps.\nAnswer: 2.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 18 = 10*i. Suppose -i*u + 20 = 5. Let c be (-6 + u)\/((-2)\/2). Solve -z - 3*s - 13 = 0, 5*z = -3*s - c - 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 9*c + 3*q + 1, 0 = -3*c - 3*q - 6. Let a(t) = 36*t**2 - t + 9. What is the units digit of a(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 236568288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(((-3*sqrt(132) - sqrt(132)) + sqrt(132))\/sqrt(12)))\/((sqrt(128)*2 + sqrt(128))*-6).\nAnswer: sqrt(5)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**3\/3 + 2108*j**2\/3 + 278780*j\/3 + 276676\/3 = 0.\nAnswer: -263, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (650\/90)\/(-13)*(-1660)\/2075?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxjs when four letters picked without replacement from {c: 1, v: 1, x: 4, j: 9, s: 5}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 1 - 1)*(0 - 1 - 11)*(-2 + 4 - 4)*(-1 + 2*q + 1).\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*q + 461 - 1244 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74651760 - 74651760 - 147*g.\nAnswer: -147*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**7\/30 - d**6\/24 + 3*d**5\/20 + 5*d**4\/24 - d**3\/3 - 3*d**2. Determine p so that w(p) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1418060 by -4.\nAnswer: 354515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 11*q + 59. Let t be r(-9). Suppose 0 = -2*n + 497 - t. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1092558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*m - 14, m + 2 - 5 = -4*t. Let x = t - 6. Is x <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/u**(2\/23))*u**(1\/6))\/(u*u**(4\/3))**5 assuming u is positive.\nAnswer: u**(-479\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 58644 (base 10) to base 12\nAnswer: 29b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, q: 16}. Give prob of sequence qoqq.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -14. Let w = z + 7. Which is the nearest to -1\/2? (a) 1\/5 (b) 1\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8570173 and -0.2?\nAnswer: 0.37140346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26.9+1.9\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 224, 441, 658, 875, 1092, 1309?\n\"Answer: 217*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*q**2 - 186 - 30*q**2 + 84*q**2 + 87*q.\nAnswer: 3*(q - 2)*(q + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, u: 1, e: 1, f: 1, z: 1}. What is prob of picking 1 f, 1 e, and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 196*o - 17. Let v(f) = 65*f - 6. Give -8*v(t) + 3*x(t).\nAnswer: 68*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9465289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 25 = -s - 5*z, -15 = 3*s + 3*z. Suppose s = -127*u + 129*u - 10. Suppose -j = -4*j + c + 803, c = -u*j + 1333. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4064.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f + 3. Let m(n) = -n**2 + 1. Let j(a) = 5*a**2 + a - 7. Let o(z) = -j(z) - 6*m(z). What is o(c) - v(c)?\nAnswer: c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 7*x**2 - x + 5. Let i be u(7). Let d be 1 - (1 - (i + 3)). Is 262 + -4 + -1*d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4494426 and -33.\nAnswer: 148316058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5481 and 6090.\nAnswer: 54810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 = 397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in hours?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkmi when four letters picked without replacement from timtktikktrtttk?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 19 = 2*y + 59, -2*t - 5*y = -37. Is 2323\/11 + t\/(-88) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8525344*b**2 + 34780990*b wrt b?\nAnswer: 17050688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20823 is divided by 234.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (22\/(-6) - 0). Let k = -0.23 - -0.13. Which is the nearest to 0.2? (a) k (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*x - 5 = 0, -264*x = -24*r - 265*x - 125 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*v = 13 + 5, -3*l - 2*v = -1. Suppose l*g = 8*g - 65. Let z(c) = 12*c - g*c + 7 - 7. Let i(t) = -11*t. Calculate i(z(y)).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.06, 10\/3, 5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 - h - 3. Let t(d) = 2*d**2 - d - 2. Let x(o) = 5*j(o) - 7*t(o). Let y(i) = 4*i**3 + 1 + i**2 + 0 + 1 - 3*i**3. Let n be y(-2). Determine x(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 5183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6786 = 73*b + 14*b. What is the remainder when 1792 is divided by b?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -315*i - 20 - 13*i**2 - 2*i**3 - 4*i**2 + 641*i - 318*i. Give u(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -97, -127, -171, -229, -301, -387, -487?\n\"Answer: -7*b**2 - 9*b - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96\/13 + 38\/13*n - 2\/13*n**2.\nAnswer: -2*(n - 16)*(n - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1 - -7 - 3) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2646 and 22\/369.\nAnswer: 108486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 119268543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 7 - 19. Suppose 3*q - 6 = s. Let h(z) = 3*z**2 - 5*z + 6. What are the prime factors of h(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 39. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*u = -169*u - 657 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 - -102. Which is greater: -0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)\/l*l**(-4)\/l*l)\/(l**(-2\/5)\/(l**(-4)*l))*(l**21)**(28\/3) assuming l is positive.\nAnswer: l**(3773\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 3*j + 9. Let d be (2\/(-3))\/(11\/231). Let f(w) = 4*w**2 + 14*w + 44. Determine d*i(h) + 3*f(h).\nAnswer: -2*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - r**5 - 2*r**3 - 2*r**5)*(-2 + 1 + 4).\nAnswer: -9*r**5 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*2*-2.\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10039 is divided by 3271?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 13*h**2. Let c(l) = -l**2. Give b(c(f)).\nAnswer: 13*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-16)\/6))\/(53\/636)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-13 - (-35 - -19)) + -67\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -9\/7*h**3 + 0 + 6\/7*h**4 + 3\/7*h + 0*h**2 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14159 - 14191 - (-11 + 0 + -1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007771576 rounded to seven dps?\nAnswer: -0.0000777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10670430847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f**3*j**2 - 2*f**3*j*y - 3*f**3*z - 2*f**2*j**2*y*z + f*j**2 + f*j*z - 9*f*y*z wrt f.\nAnswer: -36*j**2 - 12*j*y - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 2046502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/9 + 90140*y**4\/9 + 2031395038*y**3\/9 + 1354173220*y**2\/3 + 225690529*y = 0. What is y?\nAnswer: -45069, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 941.9064 millilitres to litres.\nAnswer: 0.9419064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -360\/67 less than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*l + 755*l + 47292 - 47291 to x*l + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 53?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 26. Determine s(11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2370 is divided by 259.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155.231244 hours to weeks.\nAnswer: 0.9239955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 172223 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 3:45 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 7:08 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*z - 163*z + 3704 = -8308 for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 60900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18456 is divided by 1677?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14782 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -304003, -40, -3, 4 in decreasing order.\nAnswer: 4, -3, -40, -304003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 + 8*d - 4. Suppose 36 = -5*b - 2*v, 0*b + 2*v = b. Let r(h) = 14*h**2 + 23*h - 11. What is b*r(n) + 17*x(n)?\nAnswer: n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/1 - -1) + 2. Suppose -2*u - k*u = -40. Calculate the highest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 e when four letters picked without replacement from eeewewshwgwwweseh?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 s when three letters picked without replacement from {s: 7, z: 5}?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 86 = -5*x - 5*r, 5*x + 3*r = 154. Suppose x*t + 8 = 36*t. Solve 0 = -w - y - t*y + 2, -5*y + 15 = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/61, -5, 5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-10)*4 - -8. Put -2, -7, -3, q in descending order.\nAnswer: q, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03128 and -0.2195.\nAnswer: -0.00686596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1064\/(-112))\/((-8)\/(-16)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*x = -30, 3*y - 2*x = -11 - 5. Calculate the lowest common multiple of 3*(4\/3 + 2) and -4 - (-28 + (-16)\/y).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.495 + 212.505. Let p = -128 + w. Let s = -84 + p. Is 9 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115297 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**14\/(n**(-2\/45)*n*n*n))\/(n*n**(-10))**(2\/27))**(-31) assuming n is positive.\nAnswer: n**(-16337\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 1:31 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 1857*d - 29982. Give g(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65, 38, 15, -4, -19, -30?\n\"Answer: 2*u**2 - 33*u + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m**2 - 48*m + 5. Let t be o(6). Suppose 690 = t*c - 4*z, -2*c + 5*z - 6*z = -289. What are the prime factors of c?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, l: 2, t: 1, s: 2, m: 2, p: 1}. Give prob of sequence ltl.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.8 (b) -0.2 (c) 0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 5*b + 3. Let z be h(0). Solve 20 = -z*g - g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53195290 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -66, -74, -94, -132, -194, -286, -414?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 25. Let q(b) = b. Calculate n(y) - 2*q(y).\nAnswer: y + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*u - 7851744 = -18*u. What are the prime factors of u?\nAnswer: 137, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185873 rounded to the nearest one thousand?\nAnswer: 186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/7 (b) -2 (c) -3 (d) 1\/7 (e) 7067 (f) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1918, 1\/5?\nAnswer: 1918","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 6:38 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11361 and 9.\nAnswer: 34083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (92\/10 - 7)*(0 + 5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 640885.63 to the nearest 10000.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -247? (a) 1 (b) -1\/307 (c) 0 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9e2aa (base 16) to base 13.\nAnswer: 198b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10788 and 656444?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:34 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/(-5 + -2) - (25 - 8). Let a(f) = 19*f + 224. What is a(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.594 - 0.034. Let y = s + -1.56. Which is the closest to -5? (a) 0 (b) y (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418873 > 418873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 3)*(-1 - 2 + 6)*(0*t + 2*t - t) in the form m + w*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/294 and -49\/4304.\nAnswer: 632688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56936 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1959297 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 122*b - 138 = 121*b + 107*b - 363*b, 5*o - 60 = -5*b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 68, -24, -130, -250, -384?\n\"Answer: -7*g**2 - 71*g + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001111110111 (base 2) in base 5?\nAnswer: 1422222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.09999485 + -24.1. What is t rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*m = 4, 0 = 3*j - 2*m + 148 - 160 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 6:22 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 584.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 3*w**2 + 5*w. Let s(p) = 0 - 3*p**2 + 3*p - 1 - p + 2. Let x be s(-1). What is r(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3016008913.\nAnswer: 17, 41, 254537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -35?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 105252 divided by 358\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 5*z**3\/3 + 115*z**2 + 225*z + 554. Determine x, given that a(x) = 0.\nAnswer: -45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbjbbrjbbbbrjrbbb. What is prob of picking 1 b, 1 j, and 2 r?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.5 + -1515.5. Is d at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 + f**3 - 5*f**3 - 7)*(3*f**2 + 2*f**2 - 4*f**2) + (-1 + 4 - 2)*(0*f**5 + f**5 - 3*f**5).\nAnswer: -f**5 - 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbdbbbdd. Give prob of picking 1 b and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3))**2\/(d**(2\/21)*d)**(-28) assuming d is positive.\nAnswer: d**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from {e: 3, z: 1, s: 5, x: 3, y: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -1*(-8)\/(-5). Suppose -h + 12 = -144. Let c be 2\/9 - h\/216. What is the nearest to 1\/2 in c, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 88. What is the second biggest value in 4, u, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182 - 177. Suppose 2*s = -3*z + 7 - 0, 4*s = -j*z + 11. Is 22\/45 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from jqqdnyjnbyynjb?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v**3 + v**2 - v + 2. Is a(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*f**2 - 2492*f**2 - 4465*f**2 + 230*f**2.\nAnswer: -6361*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3. Let l(k) = -4*k**3 + 3*k + 3. Let t(o) = 12*o**3 - 10*o - 10. Let g(x) = 10*l(x) + 3*t(x). Determine g(i) - n(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 12*y**2 - 23*y - 15. Suppose 0*x = 4*x - 4*s + 48, 5*x - 2*s + 63 = 0. Is p(x) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13106*i**3 + 14911*i + 1?\nAnswer: 78636*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*v - 34, 0 = -0*v + 4*v - 3*h - 38. Let u(o) = -13*o + 1. What is the remainder when u(-1) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 370782, -0.3, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*p - 16, 2*k + 0*k - 2*p - 10 = 0. Suppose 12 = 11*c - k*c. Suppose 35 = c*s - s. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(sqrt(684) + -3)*5)**2 + 3.\nAnswer: -8100*sqrt(19) + 155927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 14 = -w - 3*w, 2*w = -3*s + 28. Let v = -4 + s. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -39*m + 2617. Determine d(67).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2 + 11*a + 11. Let l(k) = 30*k**2 - 65*k - 65. Let y(n) = 6*l(n) + 35*v(n). What is the second derivative of y(s) wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/((-1)\/3). Let y = x + -2. Let b(c) = -c + 0*c - 5 + 0. Give b(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 8:44 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -189, -75, -2884?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 - 131. Let w(z) = z**2 - 4*z - 3. Calculate w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 10 + 28 = 0. Let w(y) = -y**2 + 28*y + 18. Let j(l) = 15*l + 238. Let h be j(-14). Let t be w(h). What is the highest common factor of t and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*k = -2*k - 5, -2 = 4*f + 2*k. Suppose -x - u - u + 147 = f, -4*u = x - 139. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919946.\nAnswer: 2, 73, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a - 15. Let m(q) = -4*q + 8. Let d(j) = -2*g(j) - 5*m(j). Is d(7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/9)*(q\/(q\/q**(-4)))\/q*q)**(18\/5))**(2\/57) assuming q is positive.\nAnswer: q**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/10)\/(9\/(-30)). Let b be 1\/(2\/i*-1). What is the third derivative of -z**3 - 4*z**b + 2*z**2 + 2*z**3 wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15421, 61702, 138841, 246838, 385693, 555406, 755977?\nAnswer: 987406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270153069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87237862?\nAnswer: 2, 4751, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 21\/8*a + 3\/8*a**5 - 3\/4*a**3 + 3\/4 - 3\/4*a**4.\nAnswer: 3*(a - 1)**4*(a + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 190 = -5*u, -30*z - 25*u + 57*u = -29*z + 127 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/12*30\/8. Suppose 7*d - 6*d = l. What is the lowest common multiple of 2 - -5 - (2 - 1) and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -266416 = -266201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a6 + 1?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.059?\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.8085277 + -239.5.\nAnswer: -254.3085277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 607 - -92. List the prime factors of i.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 4*r**2 - 3*r + 2. Let c be i(3). Let a(j) = 3*j + 0*j - c*j + 0*j + 18. What is the units digit of a(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 - 17*g**2 + 6*g - 40. Give v(5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11576, 11432, 11046, 10298, 9068, 7236?\n\"Answer: -20*m**3 - m**2 - m + 11598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + 62 + 248 = 17*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*o**3 - 217*o**3 + 12*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 300 - -6?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 4*m**2 - 6*m - 6. Let v be n(-3). Suppose -v - 53 = c - 2*t, 5*t = -c - 49. Let r = c - -102. What is the highest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76244 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-2)\/(-3))\/(544\/2040).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3*s - 3*p**3 - 3494*p**2 - 54498*p*s wrt p?\nAnswer: 12*p*s - 18*p - 6988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1282*c + 1122*c - 1633*c)*(-4*c**2 + 4*c**2 - 4*c**4) + 3*c**5 - c**5 - c**5.\nAnswer: 7173*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/7 - p**3\/7 + 2*p**2\/7 = 0. Calculate p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-12)*3)\/(235\/(-752)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + w + 1. Let r(a) = 10*a**2 - 5*a + 6. Let c(t) = -5*h(t) - r(t). Differentiate c(y) with respect to y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3051986 divided by 2.\nAnswer: 1525993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 + -119. Suppose -27*l + 2 = -g*l. Solve l + 2 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 1425.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 4*t + 1. Let j be p(6). Let f = j + 11. Solve 0*d + 3*d + 15 = f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 14*u + 28391 = 11*u, 0 = 4*u + 4. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f - 1. Let z(b) = b**2 - 115*b - 167. Let d(s) = -a(s) - z(s). Differentiate d(h) wrt h.\nAnswer: -2*h + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999458 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 113302003020 (base 4) in base 3?\nAnswer: 102201201212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4540*m = 281045 + 204735 for m.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1117 - 785 = 0. Let o = d - 12699\/20. Find the common denominator of o and -25\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284355.\nAnswer: 3, 5, 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10770 - 10594. What is the remainder when 1587 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*c = 23, -5*y - 2*c + 32 = -c. Let h(j) = 20 - 4 - y + 2*j. What is h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 131729 or 132576?\nAnswer: 132576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/5))**(-24)\/(d*d*d**(-2\/31)*d*d*d*d**0) assuming d is positive.\nAnswer: d**(-5229\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 - -162. Is 2 a factor of s\/10 - (-5)\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.415825 minutes?\nAnswer: 0.00167765625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**2 - 442*w + 2628. Calculate p(6).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50\/20*(-24)\/(-15). Suppose 2*b = a*z - 3472, -8*b + 3496 = 4*z - 4*b. List the prime factors of z.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000031040961 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2 - 13) + 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o - 10. Let p be k(5). Suppose -3*q + 194 = p*z, 3 = -q - 2*z + 66. What are the prime factors of q?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c - 20 = 30*c - 4*i, 0 = -2*c - 8*i + 9*i + 45 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5\/(v*v\/v**2*v))\/((v**(-8\/3)*v)\/v**(-1)))\/((v*v*v**(-1\/4)*v*v)**(9\/8)*((v\/(v*v**(2\/19)\/v))\/v*v)\/((v*v\/(v\/v**(-3\/11)))\/v*v)) assuming v is positive.\nAnswer: v**(5627\/20064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 + 11*l. Suppose -8 = 5*a + 2. Let s(r) be the first derivative of r**4\/4 - 5*r**2\/2 + 1412. What is a*w(o) - 5*s(o)?\nAnswer: -o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 2362, 5.\nAnswer: -1\/6, 5, 2362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i - 127. Suppose -5*c + 120 = 12*k - 10*k, -42 = -2*c - 2*k. Calculate u(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 1, -10, -23, -38, -55, -74?\n\"Answer: -x**2 - 6*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49933375 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 900504.\nAnswer: 900504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 8*d**2 - 4*d + 23. Let q be n(9). Suppose 3*o - 665 = -5*i, 5*i = -o - q + 273. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2463705 is divided by 2997.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 6*r**2 - r - 1. Let g be i(-6). Suppose -3*o + 1247 = 5*x, 416 = o + 4*x + g. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664 = -23*f + 158 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980242287?\nAnswer: 3, 17, 433, 44389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - (14\/(-3) + (-2)\/(-3)). Let r be (-286)\/(-715)*(2 - 343\/174). Put -3\/4, i, r in decreasing order.\nAnswer: r, -3\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14038047 minus 8416.7026?\nAnswer: -8416.56221953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25504245 (base 7) in base 5?\nAnswer: -1043231434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1 + 3 - 2*c - 2. Let w(q) be the second derivative of -5*q**3\/6 + 2*q. What is w(a(y))?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 50 - 66)*(8*d - 7*d - 22*d) + (-d + 0*d + 5*d)*(2 + 0 - 1 + (3 + 1 - 2)*(-4 + 2 + 0)).\nAnswer: 2130*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 6, n: 7}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(76) + sqrt(76)*1 - sqrt(19) - sqrt(19)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 332.66 and 33.22?\nAnswer: 11050.9652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:22 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012704824544 rounded to seven decimal places?\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -62387914?\nAnswer: -62387915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423544511.\nAnswer: 3, 67, 7082311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.9 - -0.1. Let c = -7.9999 + k. Round c to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 68362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 7254186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1197.45 less than 4071511339?\nAnswer: 4071512536.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9*r - 15. Let u(c) = -2*c**2 - 4. Let w(n) = n**2 + 1. Let o(f) = u(f) + 3*w(f). Does 4 divide o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -480 - -483. Let x(f) be the first derivative of -1 - 3*f + 1\/3*f**u + f**2. Suppose x(n) = 0. Calculate n.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*v - 5 - 1 = 0, p = 4*v + 3. Suppose 0 = 5*z + i - 97, 3*i - 4*i = p*z - 57. What is the smallest common multiple of z and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -554353\/30 - -18476. Calculate the common denominator of 31\/21 and z.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 2*j**2 - j**2)*(38*j**3 - 192*j**3 + 93*j**3) + (-3 - 3 + 0)*(-6*j + 5*j**5 + 6*j).\nAnswer: 31*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 11098*n**2 - 11*n - 7*n**3 - 11113*n**2 + 7*n.\nAnswer: -7*n**3 - 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*j - 5*j**3 - 6*j - 1677*j**5 - 92 + 1676*j**5 + 71*j**2 wrt j.\nAnswer: -20*j**3 - 30*j + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 18, y: 2}. What is prob of sequence wwy?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 4:21 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6 + 12*a - 5*a + 0*a - a**3 + 4*a**2. What is z(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -79, -125, -189, -277?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3) + 0 + -3 + sqrt(108) + (sqrt(108) + -1*sqrt(108))**2)*1 + -2 + sqrt(432) + 2*(sqrt(48) + 1).\nAnswer: -5 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cupc when four letters picked without replacement from cucupp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = 53*d - 15*d - 912. Solve -d*q - 13*q + 160 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 13*n**3 - 15*n**2 + 61*n - 19. Let k be w(13). Round k to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 3. Let n(u) = -8*u - 6. Let f(m) = -n(m) - 2*q(m). Let a(c) = -1556*c**2. Determine f(a(t)).\nAnswer: -3112*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5 - 3. Let p be -10*((-3)\/(-13))\/1. Let z = p - -99\/26. Which is the nearest to -2? (a) z (b) -2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -218, -559, -1036, -1649, -2398?\nAnswer: -3283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 9, -3*o + 595 = 4*b - 2*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.052, -2\/19, 5.9.\nAnswer: -2\/19, -0.052, 1, 5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, and 1 k when three letters picked without replacement from lyyyxyyzllzkleykl?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 1, y: 1}. What is prob of sequence yxz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*c + 17*c + 6*c)*(87*c - 87*c - 1 - 2*c**2) in the form f*c + a*c**3 + p*c**2 + k and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.46 - 16.66. Let n = -0.8 + j. Let h = 60831 + -60831.3. Is n not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/9 - r**2\/3 + 5885*r\/9 = 0.\nAnswer: -55, 0, 107\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 204*s**3 - 2*s**2 + 2*s - 1. Is v(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-265)\/(-106)*((-2)\/(6\/3) + 7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -q + 3. Let x be (12\/15)\/(q\/(-20)). Let y = x - -1. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/3 - 10*y**3 + 30*y**2 + 190*y\/3 - 84 = 0 for y.\nAnswer: -2, 1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 12:46 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.58.\nAnswer: -2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -69.7 and -9235.8.\nAnswer: -9305.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3. Let x(h) = -h**2 - 2 + 0*h**2 + 2*h**2 + h. Give x(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + (-24 - -16 - -12) + -15.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192614271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwufsbbsbb. What is prob of sequence wf?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 - 310*o**2\/3 + 31484*o - 1782552.\nAnswer: -(o - 102)**2*(o + 514)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/6399290 and 55\/736.\nAnswer: 102388640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 53*a**2 + 93*a - 151. Is v(-64) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3300 and 425370.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31811, -63626, -95447, -127274, -159107, -190946?\nAnswer: -222791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403*z + 397*z - 802*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 15*w**2 - 3*w + 22. Give s(15).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16512637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11030.9 * -15.\nAnswer: -165463.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6938046 and 90970.9?\nAnswer: 7029016.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**6\/360 - 13*y**5\/180 + 23*y**4\/72 - 11*y**3\/18 - 143*y**2 - 6. Suppose w(p) = 0. What is p?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f. Let m(w) be the second derivative of w**6\/240 + w**4\/12 + 2*w. Let s(d) be the third derivative of m(d). Determine u(s(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 0 in decreasing order.\nAnswer: 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**3\/3 + 17*u**2\/2 - 5*u + 11. What is the remainder when 72 is divided by k(14)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(10\/3)\/s**(-35))\/(s**(11\/3)*(s**(-2\/9)\/s*s)\/s) assuming s is positive.\nAnswer: s**(323\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3)\/((-34)\/(-12)). Let h = 3 + -6. Let i = 1 - h. Which is the closest to 0? (a) i (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 112975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/22)\/(-24 + (-611)\/(-26))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3\/2 + 22664565*y**2\/2 - 25684113999675*y\/2 - 25684136664245\/2.\nAnswer: -5*(y - 2266457)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - -5.04. Suppose -3*j - 3 - 3 = 0. Which is the third biggest value? (a) o (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -943.14 - 143207477\nAnswer: -143208420.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -6)*16\/64. What is the units digit of 3144\/5 + -5 + z\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 + 74. Let t = 122.49 - 123. Let v = t + 0.01. Put p, 9, v in ascending order.\nAnswer: v, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/8*560\/280.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 13 + 241 = 0. Let y = v + 60. Let j(i) = -2*i - 2. Calculate j(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394163 is divided by 8195?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19 + -0.09. Let u = 2758 - 2739. What is the closest to 2\/3 in 3, u, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + -1 + 18046 + -17851?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0)*7\/(-98)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrffrrrffrrfrfrr. What is prob of picking 3 f?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 11:53 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8528216?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-10)*1 - 0. Let r be 4\/(-20) + 39\/45. Which is the second biggest value? (a) -0.06 (b) z (c) 2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 7, s: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452297*u**2 - 189204*u + 189204*u - 452296*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcccttuthutctcttt. What is prob of sequence uh?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (305396\/(-754))\/(-14) - (-2)\/29.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62306 + 63202 = 28*s for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + -1)*(-5 - (-25458)\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.4602 to 0 dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 58*t**3 + 9*t**2 + 52. Let g(y) = -29*y**3 - 4*y**2 - 26. Let r(l) = 9*g(l) + 4*o(l). Differentiate r(v) wrt v.\nAnswer: -87*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Suppose 5*w = 3*w + 4. Let o(c) = -37*c + 37*c - 3*c**w. What is n(o(k))?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -342*g**2 - 10947*g - 16. What is h(-32)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -1 - (10 - 9). Let s(c) = c**2 - c + 5. Let z be s(k). Put z, 1, -4 in increasing order.\nAnswer: -4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnnu. Give prob of sequence unt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47\/22 - -8409\/3938. Let x = -45299\/11814 - p. Find the common denominator of -3\/7 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47435.\nAnswer: 5, 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23766382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 + 93. Let f(h) = 1 - 3 - 2 + 7*h + 2*h**2. Calculate the remainder when f(d) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17414 - 17419. Sort l, 234, -3 in descending order.\nAnswer: 234, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*u = -8, -2*p + u + 7 + 0 = 0. Suppose -p*j = -3*d - 3*j + 227, 3*d = 3*j + 207. Suppose 346 = 4*g + d. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 130*l**2 + 167. What is p(-130)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87054450 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67.6 + 61. Let a = -6.5 - d. Let i = -2 - -1. What is the closest to i in -1, 0.2, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 954*d**2*l**3 - d**2 + 54*l**2 wrt l.\nAnswer: 5724*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 41220?\nAnswer: 41220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7306 divide 663056853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + 1 + sqrt(1539) + 0)**2.\nAnswer: -18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 379442733 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8 - 5)*(-5*n + n + 3*n)*(2 - n - 2).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 817, 1636, 2455, 3274, 4093?\n\"Answer: 819*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - -1*sqrt(187)*2)\/(-1*sqrt(704) + sqrt(704) + sqrt(704)).\nAnswer: 3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -471 divided by -1?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2037 is divided by 675.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4023926 to the nearest integer?\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7*t = 0. Suppose -i + t = -4. Let x(p) = -p**2 - 9*p + 5. Let q be x(-9). Which is bigger: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -594964*q**4 - 4*q**2 + 17813355*q?\nAnswer: -7139568*q**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + sqrt(8) + sqrt(8)*1)**2.\nAnswer: -24*sqrt(2) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 8 - 12 - 10 + 44 - 1888*t**2 to the form f*t + m + n*t**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 659228008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108 + -106. Factor 10*o**j + 42*o**3 - 94*o**3 + 47*o**3.\nAnswer: -5*o**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -5 (c) 10 (d) 48 (e) -22\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19208518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, y: 2, b: 3}. What is prob of sequence by?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1700)*2 + sqrt(1700) - sqrt(1700))**2*6 + 2 + -6*(6*(sqrt(1700) + 1))**2).\nAnswer: -326614 - 4320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.855912 minutes to milliseconds.\nAnswer: 351354.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*v - 6*v - 5*m, m = 2*v - 4. Let k = 4 - v. Suppose 42 = k*q - 2*j, 2*q - 3 = q - j. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 142183, 142192, 142201, 142210, 142219?\n\"Answer: 9*g + 142174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuuullliuluuiu. Give prob of picking 2 l, 1 v, and 1 u.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*p + 287 = -p, -2*l = -2*p - 290. Calculate the highest common factor of 120 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1488 (base 9) to base 15.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 31. Suppose 2*s + 6 = 0, -5*g + 22 + 21 = -s. Calculate the smallest common multiple of g and (24\/(-30))\/((-2)\/p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 4. Suppose -v - 3*s - 2 = -12, 2*v - 14 = -3*s. Let f(q) = 6*q - 7. Let a(m) = v*f(m) + 9*l(m). What is the derivative of a(y) wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1944 - 156*c - 2*c**4 + 532 + 1601 - 2*c**4 wrt c.\nAnswer: -16*c**3 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-568)\/(-2130))\/((-12)\/(-27))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -90 (b) -4\/61 (c) -4\/3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -24*w + 12*w + 4 + 3*w. Let c be s(-3). Let y = -19 + c. Solve -g = 2*g - y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -312156021?\nAnswer: 312156025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 4*o**2 + 0*o**2 - o**2 - 1 + 0 + 3 + (-1 - 2*o + 1)*(o - o + o) + o**2 + 2*o**2 - 4*o**2 in the form t + w*o**2 + g*o and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21912*m - 21882*m = 720 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 29*o. Let r(b) be the second derivative of -b**7\/2520 + 19*b**4\/12 + 10*b + 2. Let m(q) be the third derivative of r(q). What is m(j(w))?\nAnswer: -841*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:01 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 153.7753 milligrams?\nAnswer: 0.1537753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 4)*(2 - 2*l - 2) - l - l + l + 40*l + 24*l + 63*l - l + 2*l + 1 - 3*l to z + s*l and give s.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 1)*(3*c**3 + 184 + 5*c - 184) to w*c**2 + f*c**3 + x + a*c and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170731580 - 170731580 - 555*r**2.\nAnswer: -555*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*b + 142*b = -90 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 13*t - 147. Let o(x) = -16*x + 150. Determine 5*i(v) + 4*o(v).\nAnswer: v - 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 2.6 (c) 1052 (d) -0.2 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 433512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/228*2*4\/(-5)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3395\/8 equal to 424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/8)\/(4\/(-2)))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201 - 11210001201?\nAnswer: -11210000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110001010 + -100?\nAnswer: -10110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 5*n - 4*n**2 + (-1 + 1 - n)*(-2*n + 6*n - 2*n))*(-24*n - 248 + 248).\nAnswer: 144*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q + 4*p + 4, -12 = -2*q - 5*p. Sort q, 1, 67.\nAnswer: q, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3899586*c**3 - 8*c - 46915280 wrt c?\nAnswer: -11698758*c**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442*w**2 + 411*w**2 - 3*w - 1746*w**2 - w**3 + 446*w**2 + 447*w**2.\nAnswer: -w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/60 - q**4\/8 + q**3\/6 - q**2. Let a be t(-5). Let p be (203\/(-406))\/((-1)\/82). Is p equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 1709640*o - 20515104.\nAnswer: -4*(o + 12)*(o + 427398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -1.583\nAnswer: 12.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = 0, 5*p = -0*z - 2*z + 54. Let r = z + -27. Solve 0 = -10*x + r*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3455 + 3455. Solve -189*c + 203*c + 28 = o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 12:40 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r + r**3 - 5*r + 2 - 16*r**3 - 12*r**3 + 4*r**3 + (0 + 4 - 3)*(r**3 - 3*r**3 + 0*r**3).\nAnswer: -25*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 1177 - 15*f + 15*f.\nAnswer: f**2 - 1177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -27699518 divided by 451\nAnswer: -61418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -16?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -17\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/11 (b) 5.943 (c) 2\/23 (d) 12 (e) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -5*j**4\/4 - 50*j**3 + 520*j**2 - 1440*j - 2793. What is c in x(c) = 0?\nAnswer: -36, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-28)*u*u**(-38\/7))\/(((u\/(u*u*u**17\/u*u))\/u)\/(u\/u**24)))**30 assuming u is positive.\nAnswer: u**(4320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 161773.42 rounded to the nearest 1000?\nAnswer: 162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2300 - -2?\nAnswer: -22ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/6*1)\/(105\/(-9))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 4*c + 24, 21 = -0*n + 3*n - 3*c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 16. Let z = a + 12.7. What is the second biggest value in z, 24, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 + (-15 - -4) - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2698629, 2698627, 2698625, 2698623, 2698621?\n\"Answer: -2*s + 2698631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 4\/3 (c) 5 (d) -12.4 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12834 (base 11) in base 12?\nAnswer: a718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 3*z**2 + 3*z + 4. Let a be w(4). What is the first derivative of -5*j**2 + a - 4 + 2 wrt j?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160103724?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -6 + 14, 3*d - 2*a - 8 = 0. Suppose 2*i - 32 - 4 = 5*u, -u - d = 0. Suppose -g + 7 = -4*q, 0*g - i = -g + 5*q. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -477\/5 + 95. Sort -1\/6, v, 1.\nAnswer: v, -1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337 - 697 - 3405*h + 364 + 10118*h.\nAnswer: 6713*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -2\/5 (c) -1093 (d) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23)\/((-1265)\/(-242)) + 1*4. Put -32\/5, 2\/9, q in descending order.\nAnswer: 2\/9, q, -32\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112842?\nAnswer: 2, 3, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -207?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 13. Let r be ((-5)\/(-4))\/(2\/a). Let m = -2 + r. Solve -3 + 15 = m*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/18*1\/(-10)*3\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114515*i + 418362.\nAnswer: 114515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + f. Let z be v(2). Let b(d) = -d**2 + 6*d + 8. Determine b(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 5\/7)*-1. Suppose 5*r = 4*p - 64, -r - 14 + 10 = 0. Which is the fourth biggest value? (a) p (b) 0.4 (c) z (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 - 0.19. What is the third biggest value in h, 4, 4\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 394 = -5*w, j - 2*w - 28 - 170 = 0. Let v = j + -1412\/7. Suppose 9*o - 50 = 4*o. Which is the closest to o? (a) -3\/2 (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173 + -187. Is 11 a factor of 3075\/287 + (-4)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 2 (c) -24393 (d) 0.6 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:32 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(108)*1)\/(sqrt(108)\/sqrt(2)))\/(2*(6*(sqrt(18)\/sqrt(2) + sqrt(9)) - sqrt(18)\/sqrt(8))).\nAnswer: 5*sqrt(2)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = 3. Suppose 3 - 9 = -k*y. Solve -d = y*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v + 0*v)*(5*v**2 + 0*v**2 - 3*v**2)*(3*v**2 - 2*v**2 - 6*v**2).\nAnswer: -10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 1. Let u(m) = -9*m - 1. Let k(f) = u(f) + 2*z(f). Let w(n) be the first derivative of n**2\/2 - 1. Calculate -k(s) - 5*w(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z - 6 = 3*p, -5*p + 3*z + 6 = 0. Suppose -p*d + 0*d = -36. Suppose -2 = 2*t - d, 0 = 2*y - 2*t - 12. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -245 (base 8) to base 5\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542936.\nAnswer: 2, 67867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.5 - 8.4247. Let q = -0.9607 - c. What is q rounded to 2 decimal places?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3651 + 3646. Sort -4.7, o, -4\/5, -4 in increasing order.\nAnswer: o, -4.7, -4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3811185 rounded to 3 decimal places?\nAnswer: 0.381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (999\/(-18) - -55)\/(2\/(-84)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 6*k - 4. Let z be r(6). Let p be (960\/72)\/(2\/3 - 1). Does 6 divide (p\/(-12) + z)*-36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -479 by -5.\nAnswer: 479\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10265.9796 rounded to the nearest integer?\nAnswer: -10266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 356415 - 158708. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {e: 5, y: 1, h: 1, b: 7, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 2*o - 5. Suppose -10 - 16 = -4*q - 3*r, 4*q - 22 = -r. Let g(i) = -i**2 - i + 3. Determine q*g(j) + 3*f(j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + sqrt(4)\/sqrt(2)*6 + 3 + 1 + sqrt(2) + -3)**2.\nAnswer: 70*sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 2:41 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.447 - 4.52. What is the nearest to 0.1 in -0.4, -3\/2, 3\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**15\/d**(-22) assuming d is positive.\nAnswer: d**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxzhkgxhkk. Give prob of picking 1 h and 1 k.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 609 - 4537 = 0. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12310 smaller than -12147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*n - 25 = 0, -5*x - 5*n = -0*x + 25. Put 0, x, 2, 3 in increasing order.\nAnswer: x, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 157444, 157455, 157472, 157495, 157524?\n\"Answer: 3*i**2 + 2*i + 157439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1061, 1068, 1075, 1082, 1089, 1096?\n\"Answer: 7*i + 1054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 277775\/4 smaller than 69444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -752.3 + -27.7. Let z = 780 + y. What is the third biggest value in z, -1\/21, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/6 - 71059*s**3\/3 - 1683221903*s**2\/2 - 10098478726*s\/3 - 10098194498\/3.\nAnswer: -(s + 2)**2*(s + 71057)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.1, 3, 58?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -5*(-23)\/2*(-8)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21770 (base 8) in base 9?\nAnswer: -13561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c + 9*c = -106 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a6 (base 16) to base 9.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*h**5 - 27*h**5 + 13*h**2 + 4*h**5 wrt h.\nAnswer: -780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/730 and -99\/146?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 11:01 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42148046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 823, 871, 957, 1087, 1267, 1503, 1801, 2167?\n\"Answer: m**3 + 13*m**2 + 2*m + 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -781159\/861285 - -443\/857. Let p = g - 2\/201. Let w be -3 + -1 + (-104)\/(-28). Which is the closest to p? (a) w (b) -2\/3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*x + 16 = 0, -2*x + 0 + 20 = 5*k. Solve k*b + 10 = 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8*b + 20 = 0. Let x be (b - -1)\/(5\/2) + -7. What is the biggest value in 0.5, x, -0.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w - 221. Let f be q(-38). Suppose 54*h + 288 = f*h. Which is smaller: -38 or h?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 1, c: 1, p: 2}. Give prob of sequence cs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -1. Let s be 2\/n - (-13)\/28. Let w = 339 + -341. Which is the smallest value? (a) 2\/7 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2\/7 + 2118*w\/7 + 25168 = 0.\nAnswer: -968, -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*r - 32 = 3*b - 313, 0 = 5*b + 3*r + 80 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-10 - -2 - -5)) + 16 + 29?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 2*b**2 + 4*b + 3. Let a be r(-3). Suppose -584 = -a*w - 4*w + 2*n, -288 = -2*w - n. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 846*s**2 - 4 - 3 - 847*s**2 + s**3 + 3*s - 4*s as g*s**3 + j + r*s**2 + i*s and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sokus?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5711842, 5711844, 5711846, 5711848, 5711850?\nAnswer: 5711852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2. Let h(j) = 5*j + 2. Let w(x) = -84*x - 35. Let i(n) = 105*h(n) + 6*w(n). Calculate f(i(k)).\nAnswer: -882*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-224 + 46*m + 224)*(1 + 0 - 2) in the form s*m + q and give s.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 2 + (-10 - -16 - 11)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41\/132 + -5\/22. Let h(g) be the second derivative of -1\/6*g**3 + 0 + 0*g**2 - 1\/30*g**6 + c*g**4 - 2*g + 1\/20*g**5. Factor h(y).\nAnswer: -y*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 + 0 - 2) + 0 + -428 + 425.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14070 - -14075. What is the closest to -1 in -7\/9, y, 0.6?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3352580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0703 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 a, and 1 e when four letters picked without replacement from usyaaarsareu?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2064 is divided by 173?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -689 and -4825\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -41, 3, 5, 2 in descending order.\nAnswer: 5, 3, 2, -1, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2730.937 - -2.637. What is g rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545164 is divided by 2391.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18109 is divided by 2581?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.6 - 5. Let r(n) = -8*n**2 + 9*n**2 + 12 + n**2 - 18*n. Let b be r(8). Sort b, 0.3, z in increasing order.\nAnswer: b, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 31667792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from iywyihiivi.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14351, -14362, -14373, -14384, -14395, -14406?\n\"Answer: -11*z - 14340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92477 + 67*v + v**3 + 92410 - 42*v to the form z + q*v + m*v**2 + l*v**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -976564*s**2 + 11*s + 8. Let k be y(8). What is k rounded to the nearest one million?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -1588265?\nAnswer: -1270612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375951 and 1202772?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q + 5. Let p(r) = 16*r - 16. Calculate 7*b(z) + 2*p(z).\nAnswer: -3*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44, 392, 1026, 1952, 3176, 4704?\n\"Answer: z**3 + 137*z**2 - 70*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 3 + 1 + sqrt(396) - (sqrt(396)*-2*-1 + 1*(-2 + sqrt(396) - sqrt(396))))*-5)**2 + 2.\nAnswer: -3000*sqrt(11) + 12402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -47, -1\/5, 3, -3, -38?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l + 0*l)*(0 - 1 + 0) + 333*l - 88 - 88 + 178.\nAnswer: 334*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(-7*d**5 - 10 + 10).\nAnswer: 7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 8*q**2 - 2. Let y be v(8). Let m be y\/(4 - (-18)\/(-4)). Solve -4*x - m*c = 28, -4*x - 22 + 0 = c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*z + 11*z + 6*z**2 - 3*z.\nAnswer: z*(6*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 0*c**2 + c - c**2 - 5 + c**3 + 2*c**2 - 3. What is b(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/22800 and 157\/110010000?\nAnswer: 110010000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0097239 rounded to 4 decimal places?\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvh when three letters picked without replacement from {v: 2, h: 1, a: 1, n: 1, r: 2, q: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2864100 and 140.\nAnswer: 20048700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzz. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 73063 + 2.3?\nAnswer: 73065.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1420 = -c. Suppose 4*a - b - c = 0, 3*b - 191 = -4*a + 77. Suppose -44 - a = -2*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 219607 and -18?\nAnswer: 219625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfzf when four letters picked without replacement from {f: 5, h: 2, z: 5, x: 4, q: 3}?\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l**2 + 0*l**2 + 3*l**2)*(527*l - 527*l + 12*l**2) + 34*l**4 - 27*l**4 - 39*l**4 in the form c + d*l**2 + s*l**3 + n*l + i*l**4 and give i.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*k + 13*k + 35*k - 556 + 556 - 272*k + (-4 + 4 + 3*k)*(-3 + 0 + 1) as c*k + r and give c.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 14*x - 6. Let u(k) = 3*k - 1. Calculate -6*f(g) + 33*u(g).\nAnswer: 15*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 4*a**2 + 6*a + 3. Let n(g) = 3*g**2 + 5*g + 2. Determine 4*n(f) - 3*w(f).\nAnswer: 3*f**3 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 95836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -14615*g**2 + 2*g - 6. Let a(d) = -d. What is a(p(i))?\nAnswer: 14615*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5 = u, -3*u - u + 2*o + 30 = 0. Let j = u + -7. Find r such that 3*r + 2*r**5 - 3*r**5 + j*r**5 - 6*r**3 + 3 + 3*r**4 + r**5 - 6*r**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557 is divided by 334.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 6:28 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 10*s**2 + 4*s + 6. Let f be n(9). What is f rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.4282*777.\nAnswer: 3440.7114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -18, 278 in decreasing order.\nAnswer: 278, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, 251, -4\/5, -35, -2\/3 in increasing order.\nAnswer: -35, -4\/5, -2\/3, 0.1, 1, 251","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -86514 + 86517. Let j = -0.1 + 0.2. Which is the second biggest value? (a) u (b) 0.2 (c) j (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*h**2 - 8*h**2 + 329*h + 46*h**5 + 524*h**5 - 9*h**2 wrt h?\nAnswer: 11400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 2, b: 1, v: 4, w: 1}. What is prob of sequence wo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(63) + sqrt(252)*2)\/(sqrt(225)*6).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1343*v - 969. Let w(n) = n**2. Give b(w(q)).\nAnswer: -1343*q**2 - 969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7997 - -8001. Put -0.06, n, 62, 0.2 in decreasing order.\nAnswer: 62, n, 0.2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194862724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*u - 10. Suppose u*p = -4*p + 120. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 15.2. Let r = 0.1 + g. What is the closest to r in -2, -3\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.1 - -4. Let d = 0.1 + -0.6. Let n = 3138 - 3133. Which is the nearest to z? (a) n (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/20)\/((-3)\/(-6)). Let r be 805\/2275 - (-2)\/(-10). Sort y, 0.5, r in descending order.\nAnswer: 0.5, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*d**4 + 3*d**4 + 6*d**4 + d**4 + 0*d**4 - 3*d**4 + (-3 + 4 + 6)*(0*d - 3*d + 2*d)*(d**3 + 4*d**3 - 3*d**3).\nAnswer: -20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 2*j - 6409 = -4*j. Calculate the remainder when 814 is divided by j.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -156*r - 1701. Suppose q + 2*q - 5*u = -103, -2*q - 32 = 4*u. Calculate the remainder when 3 - (1 - -2) - q is divided by l(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/9 (b) -0.26 (c) -5 (d) -1928 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1048, -1132, -1260, -1432?\nAnswer: -1648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 2406. Let x(n) = 6. Determine r(c) - 4*x(c).\nAnswer: -2*c - 2430","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 757105 and 795.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6589349 to the nearest integer?\nAnswer: 2567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2 + 1. Suppose d = 4*d - 207. Suppose -d*n + 70*n = 1. Calculate g(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*f - 934 + 70380, -52085 = -3*a - 2*f. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9850, -19803, -29766, -39745, -49746, -59775?\n\"Answer: -s**3 + s**2 - 9949*s + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118*d**4 - 5*d**3 - 2*d**2 + 54*d + 8.\nAnswer: 1416*d**2 - 30*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8850 and 36285?\nAnswer: 362850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t. Let y(b) = -15*b**2 - 12*b. Let h(i) = -7*i**2 - 6*i. Let u(z) = -9*h(z) + 4*y(z). Calculate u(w(s)).\nAnswer: 27*s**2 - 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08 and 136789840.\nAnswer: 136789840.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 48*r. Let d(m) = -7*m. Let q(o) = -20*d(o) - 3*i(o). Let p(t) be the first derivative of t**3\/3 + 2. Calculate p(q(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43757082 is divided by 1387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 15. Let j be h(11). Let q(b) = -b**4 + 6*b**3 - b**2 + 4. Let t(g) = -6*g**4 + 30*g**3 - 6*g**2 + 21. Let s(v) = j*t(v) - 21*q(v). Factor s(n).\nAnswer: -3*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22759?\nAnswer: 11, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14249917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t. Let d(s) = -s - 156036163. Give i(d(y)).\nAnswer: -y - 156036163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 36*o + 103. Let r be a(-3). Let j(h) = -35207*h + 165. Let w be j(r). What is w rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:09 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 1)*(-3)\/6. Let m(q) = -11*q - 1. Let g be m(o). Is 12*(4 - g\/4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70505729 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g*g*g**(-2\/17)*g*g)*g))\/g)**42\/(g**2)**(-4\/7) assuming g is positive.\nAnswer: g**(14542\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1701\/14 + (-2)\/(-4). Suppose 3*h - b = h - 2*a, 0 = 2*h + 4*a - 130. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*b + 16 = b, 0 = -p - 5*b + 12. Calculate the remainder when 8 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, z: 8, u: 1}. What is prob of sequence ozou?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710 = -19*n - 539 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54239 greater than 1139023\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(8\/((-32)\/(-44)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**5\/9 + 4244*m**4\/9 - 42728*m**3\/9 - 187088*m**2\/9 + 375040*m\/3 - 136448 = 0.\nAnswer: -2132, -6, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**6\/10 - 93*a**5\/2 + 6159*a**4 - 47277*a**3 + 210681*a**2\/2 + 2779*a. Suppose j(l) = 0. Calculate l.\nAnswer: 1, 3, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:14 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2491\/12455)\/(((-8)\/(-180))\/((-248)\/12)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1078*u**3 - 165*u + 3 wrt u.\nAnswer: 6468*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -29360, 0, -1\/3, -1\/5, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79160 and 112165762.\nAnswer: 3958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 265724 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1282 and 17.54.\nAnswer: -22486.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/19 - 65430*d\/19 - 196272\/19.\nAnswer: -2*(d + 3)*(d + 32712)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0225479085 to 4 decimal places.\nAnswer: -0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s - 17 - 650*s**2 + 643*s**2 - s**3 + 2*s. Let q be c(-7). Let i = -240 - -340. What is the greatest common factor of q and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67\/16786 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 1. Let l = -694 + 863. Let f(b) = -l - 177 + 524 + 2*b - 177. Suppose -h - 2*p + 9 = 0, 5*h - 5*p = -0*h - 30. Determine h*f(z) + 3*q(z).\nAnswer: -5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/18*(270\/(-50))\/9.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13, 3, 4, -14 in descending order.\nAnswer: 13, 4, 3, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*2*4 + -6*(sqrt(156) + sqrt(156) + 1*sqrt(156)))\/(sqrt(48)\/(sqrt(400) - (sqrt(400) - sqrt(400)*-1))).\nAnswer: 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24222 (base 11) to base 12\nAnswer: 18220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -5\/98047?\nAnswer: -5\/98047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, t: 4, n: 1, c: 6, e: 3, f: 2}. What is prob of picking 1 t, 1 f, and 1 n?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.05 or -65?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.63 + -13807.37. Let b = -13805.0016 - i. Let r = 16 - b. Round r to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*w + 1977*w**3 - 4009*w**3 - 24*w**2 + 1751*w**3 wrt w?\nAnswer: -1686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**3*u**2 - 22*j**3 - 33*j*u + u**2 + u wrt j.\nAnswer: -6*j*u**2 - 132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5185 + -14275. Let b = 9 + -5. Is b\/(-22) - z\/22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 2*r - 11, -63*r + 18 = 2*c - 59*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 3*x - 108 = 0. Let q = x - -18. Let u(w) = w**3 + 9*w**2 + w + 11. Let c be u(q). Put 4, c, -4 in descending order.\nAnswer: 4, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86*l - 14*l - 152*l + 27*l)*(1 - 3 - 2 + (-4 + 1 + 1)*(0 - 2 + 3)).\nAnswer: 1350*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 4*q**2 - 8*q. Let d = -223 + 253. Suppose 4*a = -a - d. Determine r(a).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 51*w + 15. Let q be k(25). Let j(s) = -6*s**3 + 12*s**2 + 1. Is j(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1)*9\/14*(-826)\/(-9204)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 340236951?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:01 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (18\/36)\/(1\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1769 and 692259.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 54 = 3*q, 4*q + i + 2*i - 12 = -10 + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 816, 990, 1274, 1662, 2148?\n\"Answer: -y**3 + 61*y**2 - 2*y + 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 7 (b) 0.11 (c) 8 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/572 and 113\/132.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -43, -3\/8, -2\/11?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60.99996 - 61. Round v to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 5, e: 2, o: 8, m: 3}. What is prob of sequence etp?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28605810 divided by 128855?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 94487, 188666, 282539, 376106, 469367, 562322, 654971?\n\"Answer: -153*i**2 + 94638*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 7:40 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48217\/(-25963)*((-56)\/80)\/(1\/(-2))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12487666 divided by 2?\nAnswer: 6243833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1 - -3) + 4)*1. Let k be ((-232)\/(-50))\/(n\/15). Let j(b) = b**3 + 30*b**2 - 27*b + 135. Let h be j(-31). Is k >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*a - 11, 2*a + 4 = 12. Suppose 1575 + 1541 = -11*c + 3171. Solve -n - f*o = 13, c*n - o = n - 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 - -604. Is v*(8\/(-4) + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5)*15)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16636109 is divided by 2772678.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -179, -0.087, -4 in increasing order.\nAnswer: -179, -4, -1\/2, -0.087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/1117879 and 53\/17.\nAnswer: 19003943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c972 (base 14) to base 4.\nAnswer: -20133220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r - 51. Let f(c) = -2*c + 17. What is -11*f(j) - 4*l(j)?\nAnswer: 2*j + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 494185 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -572 divided by -45.\nAnswer: 572\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -1, -46, 17, -5 in decreasing order.\nAnswer: 17, 1, -1, -4, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 11:44 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a - a = -345 - 187. Let y = -1 - -6. What is the fourth smallest value in 0.1, -3, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + (4 - 19 - -28).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*y + 116, y + 142 = -16*g + 12*g. Let b be 4 - g\/(-1 + -5). Put b, -4, -6 in decreasing order.\nAnswer: b, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/14)\/((-6)\/126). Let k be 4*-3*i\/(-36). Put 0, k, 1, 5 in ascending order.\nAnswer: k, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2acb6c (base 14) in base 6?\nAnswer: -52013124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 j, 1 i, and 1 z when four letters picked without replacement from ttxitxxwzzxxj?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79899 + -79822. Suppose 2*w = w + 14. What is the smallest common multiple of w and q?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*h - 15 = -0*b, -4*b - 25 = -5*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4\/5 (b) 2\/13 (c) -0.5 (d) -1 (e) 2\/157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/25 - (-36)\/210)*(-642)\/428.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**3 + 4704*a**2 - 66150*a + 231868 = 0.\nAnswer: -2366, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18378 * 0.5.\nAnswer: -9189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 8 = 5*o. Solve 2*y + o = 0, 0 = -m - 2*y - 4 - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/6248 and -24\/55?\nAnswer: 31240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -804 - 861. Suppose -2*y = -9 + 3. Suppose 3*t + f = 2*g, -y*t - 108 = -2*g - t. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71388 and 149418.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 18448 = -8*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 2*s, 2*s - 21 = -2*k - 3*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(6\/11)\/w*w*w**(-13)\/w assuming w is positive.\nAnswer: w**(-148\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1\/4)*a)*a**(-2))**(-7) assuming a is positive.\nAnswer: a**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1859, 1845, 1831?\nAnswer: 1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1876100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l. Suppose -35 = -5*x + 5*j, -x + l*x + 2*j = -12. Let c(z) = 6*z**2 + 3*z + 2*z**x - 2*z. Determine c(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydafdygcyfggd. What is prob of sequence fgy?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 4b66?\nAnswer: -4b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6899 + -0.739. Round q to 3 decimal places.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -1*15\/5. Let m be (-1)\/(0 - (-1)\/(-1)). Let x be a\/(-4) + m\/(-4). Solve -5*p + 2*n + 10 = x, -2*p = n + 1 + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 15*h**2 - 13*h - 16. Let d be s(-14). Let i be d\/(-16) - -1*(-15)\/10. Which is the biggest value? (a) i (b) 8 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (-1 - (-2)\/2). Suppose 5*g - 5 = 5*s, -g + h*s = 2*g. Suppose 0 = 3*v - g - 5. Solve -2*z + z = -v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/20*(0 - 5). Let l = g + -4. Solve 2*b - l = 2*q, -3 = b - 3*q - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 3, 201, -1, 2 in descending order.\nAnswer: 201, 3, 2, -1, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 899 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 124434 and 17856?\nAnswer: 3981888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 344000, 345252, 346508, 347768, 349032, 350300?\n\"Answer: 2*v**2 + 1246*v + 342752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1) + (-8)\/8. Suppose b*c - 44 = -c. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 138 + p**3 + 12*p - 138 - 2*p**4 - 2*p**2 as d*p + u*p**3 + w*p**4 + k + b*p**2 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyfyfffyffyf. What is prob of sequence ff?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8435 + -8433. What is x in -3\/8*x - 1\/8*x**4 + 3\/8*x**3 + 1\/8*x**z + 0 = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, -2, -37?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1123 + -1082. Which is smaller: n or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 87, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3495*t**3 + 30*t**2 + 8 wrt t.\nAnswer: -20970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 a factor of 66247774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 1, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*o = 72*o + 6920. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 33. Let r be s(7). Let h = r + -30. What is the least common multiple of (-22)\/h - 27\/(-18) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11581079100 to the nearest 1000000.\nAnswer: 11581000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/6 - (-5)\/12*2. Factor 0*y + t*y**2 - 2\/3.\nAnswer: 2*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -8\/114151?\nAnswer: -8\/114151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (18\/12)\/((-3)\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 2 + 21200531*c - 21200531*c.\nAnswer: 2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/1835 and 23\/2.\nAnswer: 3670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1808 is divided by 345.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5876*v**2 + 71*v + 4. What are the prime factors of r(-3)?\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/4442 - 1225979\/57746. Let h = -5039\/260 - y. Calculate the common denominator of h and ((-49)\/(-2))\/(13 - 14).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 9*v - 30. Calculate m(5).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 228 in -0.1, 0, -2\/21, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 928*x**2 - 281600*x - 27754496.\nAnswer: -(x + 224)*(x + 352)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(3\/5)\/l))\/(l\/(l**(-3\/2)\/l)))\/(l**3*l**(-1\/3)) assuming l is positive.\nAnswer: l**(-113\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2*g + 2 - 3*g.\nAnswer: -5*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -479, -1990, -4515, -8060, -12631?\nAnswer: -18234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 17 = -3*c. Suppose -3 - 41 = -c*s. Solve -4*f - 12 = s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1922\/(-6))\/(12\/9). Let q be (3 - (-13)\/(-5)) + (-2386)\/(-10). Let c = u + q. Find the common denominator of c and 35\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*j + 15. Let h(a) = a**2 - 5*a + 6. Let i be h(j). Suppose -y + i = 2*y. Solve 6 = y*w + 2*q, -6*w + 8 = -3*w + 2*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10340 + -175786\/17. Are y and 318 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1753 + -1720. Calculate the least common multiple of 219 and y.\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 3*l**2 - 2*l + 45. Let n(a) = 5*a**3 - 17*a**2 + 11*a - 226. Give 11*b(q) + 2*n(q).\nAnswer: -q**3 - q**2 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15644 and 264?\nAnswer: -4130016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 20*v - 3*v - 10*v - 5*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v**3 + 7*v**2 + 6*v - 80. Let w be l(-8). Is w != 4417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 11 - 19. Suppose 0 = 5*j + 4*w - 1189 - 39, -g*w + 986 = 4*j. Suppose -261 = -c - q, -q = -c + j + 9. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j - 422 = 17*j + 172 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -42\/157 in increasing order.\nAnswer: -42\/157, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101 - -110001?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104 - -80 - (0 - 5)) + 70?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:28 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 1)*(-290*u + 523*u - 460*u).\nAnswer: 1135*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 99, 87?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44653 or -44584?\nAnswer: -44653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/(-21)*(-22)\/6. Let b = k - 754\/77. Which is smaller: -2\/39 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.437 + -0.439. Let p = k - 4. Round p to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -249.1 + 249. What is the closest to 0.2 in 5, 52, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12267 - 6700. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let o = -677 + 677.124. Let v = o - 0.424. Which is the closest to h? (a) 3 (b) -7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9392059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17018 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: What is 132 minutes after 3:18 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 25*g**2 - 2*g + 53. Let q be l(25). Suppose h + 21846 = q*d, d + 0*h - 7292 = -3*h. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 54 = 2*b. Let d = b - -39. What is the greatest common divisor of 84 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2. Let f(v) = 41*v + 39. Let w be 12\/3 + (-7)\/21*0. Let r(o) = 14*o + 14. Let d(p) = w*f(p) - 11*r(p). Calculate d(i(y)).\nAnswer: -20*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 36554294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 z when four letters picked without replacement from {n: 13, z: 6}?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(8\/5)*j\/j**11)\/(j**(1\/9)\/j**(-11)) assuming j is positive.\nAnswer: j**(-878\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 249*m**3*t**2 + 168*m**3 + 3*m**2 - m*t**2 + 49*m*t + 5*m - t**2 + 154 wrt m?\nAnswer: 1494*m*t**2 + 1008*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 15. Sort x, -3, 4, 5 in ascending order.\nAnswer: -3, x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 - -56. Suppose 0 = -a*v - f - 4*f + 12792, -2*v + 8515 = -f. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2219*m - 1747*m - 28365 = -54841 - 207518 for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2368928 and 2?\nAnswer: 2368928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/167 in -2\/13, -2, 3, -1\/3, 250?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010110011 (base 2) in base 11?\nAnswer: -579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 450.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + 52)*1\/2. Suppose 0 = -5*q + x + 2*x + d, -4*x + 29 = 3*q. Suppose u + q = 26. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o = 14*o. Suppose -5*b + b - u = 0, o = -2*b - 2*u. Which is greater: -3\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 7:49 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - x + 26357 = 0, 38*n + 5*x + 35149 = 42*n. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 476 and 736304?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 987 = -4*y + 3*q + 2*q, -3*q - 3 = 0. What is the common denominator of -101\/2 and y\/(-32) - (-2)\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 52*t + 112 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 1. Let l(r) = r**2 - 9*r + 10. Let k be l(9). Suppose -11*n + 16*n + k = 0. Let m be n\/(-4)*(-3 + -1). Determine t(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -13*t**2 - 124*t + 51. Calculate z(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 12 = -2*s. Let l be 15*(s + 36\/15). Solve 0 = l*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721531.\nAnswer: 17, 42443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2688829, 2688975, 2689123, 2689273, 2689425, 2689579?\nAnswer: 2689735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 76, 58, 26, -26, -104?\n\"Answer: -k**3 - k**2 - 8*k + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3 + 0)*(5 - 3 - 1)*(0 + 0 + 2*m) as i*m + u and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14*d**2 + 2*d + 12688. Let y(h) = 50*h**2 + 7*h + 38060. Let b(q) = 7*a(q) - 2*y(q). Let l(v) = -2*v**2. Determine b(l(g)).\nAnswer: -8*g**4 + 12696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65\/6 - 28\/3. Let o = -356\/5 + 71. What is the biggest value in b, o, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 60 = 3*t, 110*f - 1515 = 105*f + 100*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 15*a**2 + 19*a - 44. Determine d(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**3 - 6*k**2 - 6*k + 26. Let t(o) = -o**3 - o**2 - o + 5. Let h(p) = -2*c(p) + 11*t(p). Let n be h(0). Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225 - 226. Let u be (-3 - -23)\/((-3)\/63)*l. Calculate the highest common factor of u and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -28*a**3 - 17*a**2 - 71*a - 75. Calculate g(-2).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 0*y**4 + 1\/35*y**7 + 0*y**3 + 1\/15*y**5 - y**2 - 1\/12*y**6 + 0*y + 0. Factor n(s).\nAnswer: 2*s**2*(s - 1)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 13*v**4\/21 - 34*v**3\/7 - 8*v**2\/7 - 520*v. Factor w(i).\nAnswer: 4*(i - 4)*(13*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cer when three letters picked without replacement from cenncncennenrn?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 194 - 160 = -15*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - 180*d + 2389. What is the remainder when f(-96) is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/1 + (-1 - -18). Calculate the highest common divisor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*u = 9*u - 15*u + 6, -4*u + 1 = -11*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 11:34 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -476, 3, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*r**2 - 71*r**2 - 66*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.58 times -0.01?\nAnswer: -0.0958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2070 = -2*g + 2*d, -4*d - 39 = -19. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 110 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(425)*-4 - (sqrt(425) - 6*(sqrt(425) + 0)**2)) + -4.\nAnswer: 35*sqrt(17) + 2546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 866 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/((-425)\/(-15)) + 4244\/10. What is the greatest common factor of h and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59.961 - 5.80793.\nAnswer: 54.15307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r + 28. Solve -10*p**4 + 40*p**2 + 9*p**3 + 2*p**5 - r*p**5 + 11*p**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(66)\/sqrt(6))*3 - (5*(1 + sqrt(11)) + (1*sqrt(22))\/sqrt(2)))**2.\nAnswer: 30*sqrt(11) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1504.584kg?\nAnswer: 1504584000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4844067707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1, 22, 6.\nAnswer: -1, 1, 3, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 3*i**2 - 5*i - 8. Suppose 7*f = 7 + 21. What is the remainder when v(5) is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 9, u: 1, y: 1}. What is prob of sequence koy?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6607797 - 481*c - 13215588 + 6607790.\nAnswer: -481*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 126.7 * -41.\nAnswer: -5194.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**4\/4 - q + 1. Let k be (-2)\/(-5) + (-83)\/(-5). Let z = k - 16. Calculate h(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -1\/21*a**7 + 0*a + 0*a**4 + 0*a**6 + 13\/2*a**3 + 40*a**2 + 0*a**5 + 0. Find the first derivative of d(o) wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-61 - -17 - -15) - 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s**2 + 2*s)*(7*s**2 - 3*s**2 + 2*s**2) + (s + s - 3*s)*(-8*s**2 - 4*s**3 + 8*s**2 + (-2*s**2 + 0*s**2 + s**2)*(3*s - 3*s - 2*s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 152391233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -28046*r - 35. Let a(w) = 14022*w + 20. What is 7*a(l) + 4*v(l)?\nAnswer: -14030*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b + 4. Let a be 180\/20 + 1*-13. What is l(a)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9023 + -23 + 2\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*u - 1 = 41, 0 = -4*m + 3*u - 128. Let s be (-9 - -9) + (1 - 31). Is m at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q + 9. Suppose 11 - 35 = q*j. Suppose -146 + 137 = x. Which is bigger: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.75007 rounded to one decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -39\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2573*j**2 - 44709*j**2 - 2723*j**2.\nAnswer: -50005*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 209877958 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -31*c - 4502. What is v(-147)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 52278749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2.1. Let i = r + 0.2. Let m = -221 + 221. Which is the closest to i? (a) 0.3 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/1545 and 51\/37595?\nAnswer: 112785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a85 (base 12) to base 13.\nAnswer: -6cbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -41, 5, 43 in increasing order.\nAnswer: -41, -5, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 24. Solve 0 = -3*o - 3*b + 2*b - 12, -3*b + 16 = -j*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 + (-7)\/(-2). Suppose 2 = u*z - 10. Suppose -5*h = -5*s + 30, 3*s - 22 = -2*h - z. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9\/10 - 101\/90. What is the closest to l in -1\/3, 1\/4, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2432 - 0.2\nAnswer: 2431.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 0 + 0. Let p(u) be the third derivative of 2*u**2 + 0*u**3 + 0*u - 1\/8*u**4 + 0. Determine p(t(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3417860*16\nAnswer: -54685760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**3 + 3*j**2 - 2. Let q(b) = -b**3 - b**2 + 1. Calculate l(w) + 4*q(w).\nAnswer: w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**5\/60 - 7*z**4\/24 + z**3 - 2*z**2. What is the units digit of n(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85239796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**2 + 2*b**2 - b**2 - 42*b - 10*b**2 + 30*b to the form d*b + q*b**2 + j and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 515332 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-40 + 16 - -15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*(x**(1\/5)\/x)\/x*x))\/x**(-7))\/(x\/x**(-5)*x\/x**(-1\/9)))\/((x**(6\/5)\/(x*x**7))\/(x**1)**(-9)) assuming x is positive.\nAnswer: x**(-68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 6 = 3*a - 21*l, l = 3*a. Let n = -10 - -15. What is the closest to 0 in a, -6\/5, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-1 - 1 - -3). Suppose w = 3*h - 0*h - 66. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -219, 77, -76, -0.4?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127 + 26 + 15)*(0*y**2 + y**2 + 2*y**2) + (-2*y + 0*y + y)*(2*y + 2*y - 2*y).\nAnswer: -260*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1715 + -1726. Put 0.3, f, -5, -1 in increasing order.\nAnswer: f, -5, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/54048 and -77\/182412.\nAnswer: 1459296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y + 4 = 4*t, 0 = -3*y + 5*t - 2. Let c = y + 23. Let q = -17 + c. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191 + 190.6. Let t = -2.9 - -3. Which is the nearest to t? (a) 1 (b) s (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -146 - -0.1373722688683.\nAnswer: -145.8626277311317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - r - 5 = -3, 0 = 5*a + 5*r + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + 7*o**4 + 0*o**4 + (-2*o + 2*o + o)*(167*o**2 - 17*o**3 - 167*o**2).\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -727 - -761. What is the remainder when x is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 5*u**2 - 16*u + 38. Give h(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6265.308 litres to millilitres.\nAnswer: 6265308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 - 75. Suppose 6*m - r = -15. Let f be (-12)\/(-30) + (-41)\/40. Which is the third smallest value? (a) f (b) m (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zguzzuuuevuazugz. What is prob of picking 1 u, 2 g, and 1 v?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59501 is divided by 434.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 591431339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-39 + 94 - 44) + 0 + -36 + -1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1249, -794, -299, 236?\n\"Answer: 20*i**2 + 395*i - 1664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*w. Suppose 0 = t - w - 9. Solve -5*r + 15 = -2*x, -3*r + 0*r = 3*x - t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.18 less than 184683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -5006 in descending order.\nAnswer: 5, -4, -5006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31\/12 - -1213\/60. Let u = -23 + h. What is the nearest to u in 1, 0.1, 0.3, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 76076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3568454325?\nAnswer: 3, 5, 293, 18043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-5 - -1))*-4 - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -208, -752, -1668, -2962, -4640, -6708, -9172, -12038?\n\"Answer: -i**3 - 180*i**2 + 3*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 5*j - 137. Suppose j*r + 5*g - 30 = 0, -4*r + 30 = -2*g - 0. Solve -f + 4 = z + r, -5*z - f - 19 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -785, -784, -773, -746, -697, -620, -509?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 less than -0.232?\nAnswer: 129.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 380614 - 5*w**4 - 380614 + 0*w**4.\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -561 + 331. Let f = p + 114. Does 10 divide 6\/4*f\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 4\/(-2))*1. Let w(d) = -d**2 + 6*d + 5. Calculate w(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s - 10. Let r be z(-9). Let n be 1*(-8)\/(4 - r). Which is the nearest to n? (a) 1\/9 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (10 + 3 + -9 + 13 - 9).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/120*990\/(132\/(-2)).\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*o + 736, 78*o - 73*o = 0. Is -184 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)\/r**23 assuming r is positive.\nAnswer: r**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o = 22*o + 1176. Does 294 = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -25*g**2. Let i(d) = -74*d + 34*d + 40*d - 13*d**2. Give i(h(a)).\nAnswer: -8125*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 15 + 8)*(-o + 2*o - 2*o + (4 - 1 - 2)*(0*o + o - 2*o) + o - 3*o + o) + 8*o - 58 + 58.\nAnswer: 89*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110406 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/100 (b) 0.076 (c) 2 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -16*j + 101 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 1097*m**5\/20 + m**4\/24 + 635*m**3\/6 + 1608*m**2. What is the second derivative of j(w) wrt w?\nAnswer: 6582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.314 - -3.354. Let s = -5.04 + q. What is the smallest value in -1, -1\/5, -2\/27, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**2 - 13*c - 7315. Let k(m) = m + 7. What is -11*k(p) - 6*u(p)?\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.1, -0.3, 2\/461, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23\/50 + 1\/25. Let g = -3 + 2.5. Which is the nearest to -1\/2? (a) g (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13085 (base 10) to base 3\nAnswer: -122221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-4))\/6)\/(5\/(-45)*7839\/(-156))?\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*n + 243*n + 850 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 2*b**2 - 3*b - 4. Let u be (-96)\/40 + 3\/(-5). Let h be g(u). Are -20 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3712707 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 42. Let x be l(19). Let b(y) be the second derivative of -1\/48*y**x + 0*y**5 - 4*y + 1\/120*y**6 + 0*y**2 + 0*y**3 + 0. Factor b(t).\nAnswer: t**2*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337 + 696 - 359 + 1494*h.\nAnswer: 1494*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -22 - 14. Let m = -10 + l. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and -527393.\nAnswer: 843828.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/(-11))\/(3\/(-12)). Let -1\/2*g**5 - 7*g**3 - 9\/2*g - 8*g**2 - 1 - 3*g**u = 0. Calculate g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -352793 + 75.\nAnswer: -352718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 44. Suppose 0 = 5*r + 4*w - 15, -j*r + w = 6*w - 15. Suppose -5*d = 10 - 0. Sort d, r, 2\/3.\nAnswer: d, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 2 = -11*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 155\/34)*182\/30. Let g = d - 19\/85. Find the common denominator of g and -59\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1 - 4 + 20*a + 2 - 9*a. Let b be x(1). Does 4 divide 130*(4 + (-36)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 1934558*j.\nAnswer: j*(j - 1934558)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*g**2 - 1 - 2 - 4.\nAnswer: -4*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 287 + -196. Let z(a) = 48 - s + 43 + a. Let i(w) = 39*w. What is z(i(r))?\nAnswer: 39*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -313 or -214?\nAnswer: -313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-218)\/(-6) + 3 - (-6)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -35\/2*d**4 + 0*d**2 + 0*d + 195 + 245\/3*d**3 + d**5. Factor q(m).\nAnswer: 5*m**2*(m - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8276 divided by -4.\nAnswer: 2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -94895 + 6?\nAnswer: -94889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**2 + 19*k - 19*k)*(k**3 + k**3 - k**3)*(-12 - 5 + 4).\nAnswer: -91*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(242) - (sqrt(242) + 0 + 4)) + (sqrt(242) - (0 + sqrt(242) + -1)) + sqrt(242) + 1)**2.\nAnswer: 572*sqrt(2) + 918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**2 + 1. Let l(u) be the first derivative of -4*u**3\/3 - 1192. Calculate t(l(q)).\nAnswer: -64*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15230.4248 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 2*g**2 + 69*g + 260. What is v(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114.0273 millilitres to litres.\nAnswer: 0.1140273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l - 11*l + 39*l to the form h + r*l and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {z: 3, y: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x + 15. Suppose 3*q - 5*l = 10, 4*l + x + 1 = 2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3219256189 to the nearest integer?\nAnswer: 56738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1100110?\nAnswer: -1100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.55147*-138\nAnswer: -76.10286","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 390?\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2822221256?\nAnswer: 2, 23, 433, 35423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*v - 5*y, -4*y = 3*v - 7*v. Suppose 8 = -3*k - v. What is the closest to 0.1 in 4, k, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88314543 to the nearest integer?\nAnswer: 9398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*0.135186.\nAnswer: 1.216674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/65*(-25)\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**10\/2520 + h**6\/40 - h**3\/3 + 1. Let a(t) be the third derivative of f(t). Find the third derivative of a(c) wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/9*(0 + 0). Suppose -5*m - m + 36 = b. Let r be ((-4)\/16*m)\/((-3)\/2). Which is bigger: r or -3\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3*y = -2*n - 10, 4*n = -2*y + 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 284.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 0.5, -19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125371 - 457?\nAnswer: -126050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2352 and 85750.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 22582*z + 6503620. Give d(-288).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r + 15 = 35*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.379 rounded to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h - 4. Let r(n) = -2*n + 3. Let s(y) = 4*r(y) + 3*v(y). Let m(g) = -8*g**2. Determine s(m(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -37*d**2 + 4*d + 7. Let i(q) = -73*q**2 + 7*q + 13. Let s be (-1)\/3*(-9 - 24). Let b(u) = s*w(u) - 6*i(u). Is b(1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137 - 118. Let y(l) = l**2 - 15*l + 78. What is the hundreds digit of y(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165608827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 + -2. Let o = v + 1.4. Let j be ((-75)\/(-10))\/3 + -4. Which is smaller: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and 3231965?\nAnswer: 148670390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5311655 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 48*u**3 + u**2 - u + 1. Suppose -2*q = d, 4*q - d + 6 = 3*q. Let l be 60\/84 - q\/7. Is v(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-209962)\/(-5) - 8\/20. Suppose 5*r + 60925 = 4*g - 9067, 3*r - 4*g + f = 0. What is r rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411085.\nAnswer: 5, 82217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 752.7 + -753. Let v be (-3)\/((-46)\/(-4) - -2). Which is the closest to -0.1? (a) v (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1356374 is divided by 169495?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4408, 0, -1, 17, 3 in descending order.\nAnswer: 17, 3, 1, 0, -1, -4408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by -22\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 4*g - 4*g)*(2*g**2 - 2*g**2 + g**2)*(40*g - 17*g + 24*g).\nAnswer: -94*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 5566*t**7\/105 + 9319*t**3\/6 + 3444*t**2. What is the derivative of p(w) wrt w?\nAnswer: 44528*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2096.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6)*(-5 + 2). Let a(f) = -f**3 - 5*f**2 - f + 8. Let p be a(-4). Let o be p\/(-10)*(1 + 4). Solve -3*q + 3*m + b = 5, -o*q + 4*m + 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h - 30. Let u be k(-6). Suppose u = -4*p - p + 65. Solve 16*v = p*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -4.6. Let x = 8.2 - 8. Let f = -7.6 - -0.6. Sort i, x, f in decreasing order.\nAnswer: i, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 15*q**2 - 18*q - 16. Let n be i(-16). Let k = 15 - n. What is the closest to k in 0.06, 0.1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.8 - 15.8. What is the closest to -0.1 in -1, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/11 + 94*p**2\/11 - 532*p\/11 - 624\/11.\nAnswer: 2*(p - 6)*(p + 1)*(p + 52)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -194 - -191. Let b = -838 - -844. What is the biggest value in z, 1, -3\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - p**3 + 3*p**3 + 2*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -10\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqpqqqq. Give prob of sequence qpqp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*d - 32*d + 165. Let y = 228 + d. List the prime factors of y.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k - 8*k - 7*k - 4854*k**3.\nAnswer: -4854*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 342 and 10?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.19 (c) 57.9229 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -545350 divided by -25\nAnswer: 21814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 24 = 4*o + 2, -4 = b + 2*o. Solve 3 = -l, -3*l = -3*u - b*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206067 to the power of 1\/2, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*n + 29, -6*l + 19 = -2*l - 5*n. Let o be 48\/l*4\/(-8). What is the tens digit of (o + 3 - -14) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/7, 2, 8\/26407, -7?\nAnswer: 8\/26407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-4))\/((-5)\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10*y + 33373. Let z(u) = -4*u + 11130. Determine 3*i(r) - 8*z(r).\nAnswer: 2*r + 11079","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9976099?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4345 and 21.\nAnswer: 91245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -135 + 24. Suppose -8*d + 5*a = 15, -3*d + 3*a - 2 - 7 = 0. Solve -m + 2 = -h - 7, d = -5*m + 3*h + r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 6*r**2 - 2*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**3. Let t be y(1). Let l(a) be the first derivative of a**3\/3 + 3*a**2\/2 + 4. Let d be l(-4). Solve 2*c = -b, t = 2*c + d*b + 17 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(275) + -2 + -2 + sqrt(275) + -3)**2 + 5.\nAnswer: -80*sqrt(11) + 1121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s**2 - 34*s - 30 - 1826*s**3 + 1825*s**3 + 11*s + 27*s**2. Does 27 divide r(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211\/4 - 629\/12. What is the third biggest value in -2, 0.2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a century in decades?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 3:06 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 252742765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0 = -10. Suppose 3*s - 12 = -3. Suppose -6*h + 3 = -s*h. Put r, 5, h in descending order.\nAnswer: 5, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**5\/20 - j**3\/2 - j**2\/2 + 2*j. Let x be m(-2). What is the units digit of (-6)\/(-27)*x*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6713)\/98 - -69)\/(0 - (-3)\/840). Let z be 174\/3 - (0 - -2). Calculate the greatest common factor of z and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -4, 16, -11, 2, 34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-90*l**2 - 2 + l - 84*l**2 + 172*l**2)*(-3 - 2*l + 3 + (-5 + 3 - 1)*(-11*l - 104 + 104)) to the form c*l**2 + h + z*l**3 + u*l and give z.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -210*j. Let x(k) = -k**2 + 25*k**2 - 13*k**2 - 25*k**2. Determine w(x(a)).\nAnswer: 2940*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 153 in 1, 5, 4, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*f - 208*f - 211*f - 26*f + 865*f - 216*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 349.3 - 396.3. Let t = 39 - -5. Let u = x + t. Which is the second smallest value? (a) -3\/5 (b) u (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1840053732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/8*80\/(-30). Let g(c) be the first derivative of a*c + 0*c**2 - 1 + 4\/3*c**3. Differentiate g(b) wrt b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 14 + -5 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o**3 - o**2 + 1. Let s be h(-1). Let c = s + 19. Suppose -4*l + 5*l - c = 0. Solve -4*d - l = -0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1382 or 1384?\nAnswer: 1384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14378548 divided by 123953\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -1 (b) 125.1 (c) -2\/13 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c - 145 + 45 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107434 (base 8) to base 13.\nAnswer: 138a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s = 22*s - 61389. What is the remainder when s is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 + 4*p**3 - 60*p**2 + 92*p - 40.\nAnswer: 4*(p - 2)*(p - 1)**2*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2 - 35602724*t + 158444244527522 = 0.\nAnswer: 8900681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - -17. Let g = k - 50. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 12 = 5*z + 2*x, -4*z - 4*x - 12 = 0. Let a(h) = -9*h - 14. Let f be a(z). What is the second derivative of f*m**5 - 59*m**5 - 9*m - 20*m wrt m?\nAnswer: -740*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261*-155138.\nAnswer: 40491018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 303 - 130101506?\nAnswer: -130101203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 8. Let u be x(-8). Suppose u*d + 4*d = 4. Which is the second smallest value? (a) d (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0 (c) 5597\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - (sqrt(1008) + sqrt(1008) + -2))**2*-3*3 - (6*(2 + sqrt(1008)))**2*3)*5.\nAnswer: -592020 - 23760*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 7:08 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**3\/3 + 3*c**2\/2 + 2*c + 1. Let q be (28\/12)\/(3\/(-9)). Let m be p(q). Solve 0*w = 5*w - 2*j + m, -15 = 5*w + j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 7 + 11. Let c(x) = 110*x - 5. Let g be c(-1). Let p = 169 + g. What is the greatest common factor of p and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 45*j**2 - 564*j - 1407. Calculate k(-24).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 117, 238, 359?\n\"Answer: 121*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/64 - (0 + (-3)\/(-4)). Suppose -s - 5*y + 83 = -v*s, 3*y = 2*s - 231. Calculate the greatest common factor of 72 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 182\/(-36) - (2 + 32\/(-18)). Let i = g - -11\/2. Factor -i - 8\/9*f**2 + 8\/9*f.\nAnswer: -2*(2*f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9537 - 4746 + h**2 + 2*h**3 - h**2 - 4791.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46507, 62545, 78583, 94621?\nAnswer: 110659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/928 - 1261\/103008. Let b = 12\/37 - f. Put 3, b, 1\/10 in increasing order.\nAnswer: 1\/10, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 13 - (3 - (-13 - 9)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.8 + 4. Let i(v) = -v - 5. Let r be i(-4). Let k = 3.1 + -3. Sort k, r, m in decreasing order.\nAnswer: m, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5922\/17 + 9789100\/28101. Let i = j - -6602\/8265. What is s in 3\/5*s**3 - i*s + 1\/5*s**5 - 4\/5*s**2 + 4\/5*s**4 + 0 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 + -11.\nAnswer: -10.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 4 - 4)*(-1 - 4 + 3) - q + 2*q - 4*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6253?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -1120?\nAnswer: -1119.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 10) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 2272*h + 281008.\nAnswer: 4*(h - 386)*(h - 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(50) + sqrt(50)*2)*2 + (3 + sqrt(300)\/(sqrt(6) + -2*sqrt(6) + sqrt(6) + sqrt(6)))**2.\nAnswer: 62 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 532429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672\/20*5400\/12060 + -15.\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-16)\/(-280)*(-14)\/16\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 3*g + 4*g - 2*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 10123?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170 by -7.\nAnswer: 170\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*z - 681 + 209 - 653 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(3\/(-1)*((-9)\/(-12))\/((-21)\/28)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -121 and -25604\/211 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 3*p**2 + 27 - 5*p + 4*p**2 - 29. Determine s(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4 + 259*h**3 - 4757*h**2 - 5539*h + 10038 = 0. Calculate h.\nAnswer: -2, 1, 21, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9204636 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 205.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 4. Suppose 3*j = 7*r - 3*r - 43, u = 4*r - 2*j. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-5\/2)*k*k**(-42)\/k)\/(k**(-1\/45)*k**(5\/7)))**4 assuming k is positive.\nAnswer: k**(-55682\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2539524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 60\/78091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 56*l**2 - 367*l + 802. What is s(-48)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.861006 rounded to 1 dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 16*l**2 - 193*l + 48. Determine d(5).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/475 and 5\/8227.\nAnswer: 205675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -71430807 divided by 21\nAnswer: -3401467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (1 - ((0 - 2) + 0)). Let d be 84\/(-3) + (a - 1). Let g = 46 + d. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 266*f + 2. Let w be r(3). Round w to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 90970941 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 421404224 a multiple of 826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzfoi. Give prob of picking 1 l, 1 f, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -2 - (2 - (0 - 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 423 + -349. Suppose c*x = 63*x + 231. What is the least common multiple of x and 1\/(-1)*(-6 + -21)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.01, 3, 4\/19 in ascending order.\nAnswer: -1\/4, 0.01, 4\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(300))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14017 = 1790*q - 410*q + 3990 - 1447. Let o(m) = -12*m + 4 - 2 - m**2 + 1. Determine o(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*(z*z**(1\/2))\/z)\/z*z)**(13\/3)\/(z*z\/z**1*z)**(-2\/65))\/((z**2)**(-2\/29)\/((z**3*z)\/(z\/(z*z*z\/(z\/z**(-5))*z)))) assuming z is positive.\nAnswer: z**(136091\/11310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:20 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -190*p**2 + 366*p**2 - 181*p**2. Let n(s) = -2*s + s + 3*s + s. Give r(n(x)).\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 852 and 797046.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -0.88485?\nAnswer: -1.11515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9156916 - 56*x**2 - 16*x**3 - 9156916 to j*x + i*x**3 + p + u*x**2 and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) -1\/5 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-264) + (-32)\/33?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/19 - 32*m**4\/19 + 50*m**3\/19 + 604*m**2\/19 + 920*m\/19 + 400\/19 = 0.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (4 - (-4 + 14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30046.746 + 29995. Round f to 1 decimal place.\nAnswer: -51.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164 - -128 - (-32 + 6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2 + 1 - 1 - 3 + (-1 + 6 - 4)*(-3 - 5 + 3))*(2 - c**2 + 1 - 4).\nAnswer: 6*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 6*a + 1. Give w(12).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:56 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 630063 (base 8) in base 11?\nAnswer: 132a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 86?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 l when three letters picked without replacement from frdddlflfvbrdv?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.4 + 0.3. Round a to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (2 + -21 - (2 + -1 - 0)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 21*f + 27. Let t(a) = -10*a - 13. Let g(c) = -13*t(c) - 6*y(c). What is the derivative of g(u) wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = 2*d + 2*d. What is d rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63754879?\nAnswer: 17, 31, 120977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.07 - 109.07. Let w = l - -108.187. Round w to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 - 24*c**3 + 9*c**3 - 33*c**3.\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.276 times 14.5?\nAnswer: -149.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(572\/117)*(-28)\/(-72)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1.8, -47.07, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*k**2*n*o**2 + 51021*k**2 - 14*k*n*o**3 - 5*k*n*o + 3*n*o**2 + 2*n*o wrt o?\nAnswer: 22*k**2*n - 84*k*n*o + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269933*h + 14 = 269916*h + 2*b, 0 = 6*h - b + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 140*t**2 - 248*t + 5107. What is h(-142)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/(69\/(-138))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. What is the units digit of (6\/(-4))\/(k\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*j**2*k**4 - 3*j**2 + 2*j*k**4 + 25*j*k**2 - 2*j - k**4 wrt k.\nAnswer: 1344*j**2*k + 48*j*k - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + c = 10*t - 15, -2*t - 10 = -c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 689*k + 2191*k - 753*k - 748*k.\nAnswer: k + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -7*v**8\/8 + 27*v**5\/20 - 2977*v**4\/12 + 24*v - 31. What is the third derivative of j(t) wrt t?\nAnswer: -5880*t**3 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*q + 2, 4*g - 20 = 3*q - 5*q. Suppose -20*f - 6*f + 78 = 0. Calculate the remainder when g is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56103 - -36?\nAnswer: 56142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182 divided by 4.\nAnswer: -91\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 673*j - 1483. What is b(2)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1 = -4*d. Suppose 5 = -a + 4*w - 6, 5*a + d = 2*w. Suppose 13 + a = k. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82502553439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - 1*(sqrt(1539) + -3 + sqrt(1539)))*-4 + 5.\nAnswer: -7 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/(-4)*8\/(-6) - 2)*(-543)\/4344.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 170 + -54. Let v = -12 + k. Which is bigger: 0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -v - 2*b - 6, -5*b = 3*v + 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -43618062 - 285779\nAnswer: -43903841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/4 + u**3\/6 - u**2 + u. Let j(f) = -f**2 - 33*f - 25. Let o be j(-29). Let d = 89 - o. Give p(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 146768. Suppose -h = 3*v - 5*j + 27508, 5*v + 107000 = -4*j. What is v rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.35 - 25. Let j = l - 5.35. What is the smallest value in 0.1, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 2*a**2 - 2*a + 2. Let h be r(2). Let q = 1 - h. Suppose 0 = -3*g - 2*g + 25, 4*x + q*g = 11. Let y(l) = -2*l**2 - 2*l - 1. Give y(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 576, 562, 536, 492, 424?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-25)\/(q**(3\/8)*q))\/(q**(-4\/23)\/q**4) assuming q is positive.\nAnswer: q**(-4085\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 37*n - 37. Let d be a(11). What is the hundreds digit of (1 + -23)*(-6)\/(60\/d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 103*j + 2467. What is x(38)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 167304.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -26276625.53587.\nAnswer: -26276625.83587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 3*f**5\/10 - 123*f**4\/8 - f**3\/2 + 123*f**2\/4 + 642. Suppose g(x) = 0. Calculate x.\nAnswer: -1, 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5690160 - 1614*d**3 - 5690160.\nAnswer: -1614*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 8:04 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5360)\/1005*4\/8*3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -5*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 12*p + 3. Suppose -1 = l - 7. Let t be v(l). Solve 0 = 4*w + 12, -t*b - 12 = 2*b + 4*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249724 is divided by 1581.\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -511?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmytmmltlltsmlmmt. Give prob of picking 1 t and 3 m.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.28 + -12. Let r = k - -0.02. Suppose 15*x = -22 - 38. Which is the closest to r? (a) x (b) -2\/21 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -15*x - 12. Let s(z) = 16*z + 10. Let i(b) = -2*p(b) - 3*s(b). Let v(w) = -12 - 3 + 10 - 10*w - 7*w. Calculate 5*i(r) - 6*v(r).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from eeaevvaeaeeagvvfavf.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -900 divided by 17?\nAnswer: -900\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7377 and 23517.\nAnswer: 57828303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51.87 + 3.82. Let r = -47 - q. Let g = r - 1.050000111. Round g to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1036, -4137, -9268, -16399, -25500, -36541, -49492, -64323?\nAnswer: -81004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22.213? (a) 1 (b) -0.4 (c) -3 (d) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 2, 19, 3, -10 in decreasing order.\nAnswer: 19, 3, 2, -10, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*s + 2262 = -2223 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 400607438\/506585 + -4\/101317. Let z = c - 758. Do 33 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, c: 1}. What is prob of picking 3 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -31*m - 165. Determine w(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/279225 and -56\/3940175.\nAnswer: 35461575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 253608991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k + 4 = 2*m, -3*m + 11 = k. Suppose 0 = 5*u + 5*t - m*t - 2, -4*u = -t - 12. Suppose 0*d + u*d - 10 = 0. Solve d*s + 13 = -12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.2 + 5. Let n = c + 1.8. Let x = n + -0.5998. What is x rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/16)\/((-1)\/4). Suppose -3*w + t*r = -93, 3*r = 2*w - 23 - 38. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/56)\/(605\/(-77) + 7)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - sqrt(60))*6 - sqrt(8640)*-1)\/((-5*sqrt(8640) - sqrt(8640))\/sqrt(5)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 20*y = 6 + 40. Let f = 5 + -5.4. What is the third biggest value in y, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -26*b - 35 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/11091203 and 3\/427.\nAnswer: 77638421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 + -1000120011020?\nAnswer: -1000120010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 2\/11 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6091 = y - m + 2492, -3*y + 2*m + 10802 = 0. Suppose k = 5*k - y. Suppose 4*w - v = -3515, 2*w + 854 = v - k. What is w rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1 - (-3 + 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(102)\/sqrt(6)*-3 - 5*sqrt(187)\/sqrt(11)) + 5.\nAnswer: 5 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 4. Let k be g(6). Suppose 2*n - 2 = -2*n + 2*j, j + 15 = -5*n. Are n and k unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10311332333 (base 4) to base 14.\nAnswer: -250a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 3*p**2 + 146*p - 81. Determine l(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 47*p**2 - 10*p**2 - 30*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46478935*o*q*v**4 + 3*o*q*v - 2*o*q + 276*o*v**2 - 2*o*v - 51*q - 108*v**2 wrt v?\nAnswer: -1115494440*o*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00058534 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 72*d + 11259. Let p be k(-153). Which is smaller: p or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45154 + 10454. Round n to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v + 3*v**2 - 5*v**3 - 2*v - 2*v. Let l(o) = -11*o**3 + 7*o**2 + 7*o. Suppose 2*d - 13 = 1. Let f be (3 - (0 - -7)) + 1. Give d*u(a) + f*l(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10753, -43044, -96867, -172222, -269109?\nAnswer: -387528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34841306.\nAnswer: 2, 17420653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 116*s - 468, 5*n + 0*n = s - 4*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109376*i**4 + 30455*i wrt i?\nAnswer: -1312512*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/2400*-25*(-112)\/(-2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9578.267km to millimeters.\nAnswer: 9578267000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.728786 hours?\nAnswer: 20623.6296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2 - 1374*j - 52056 = 0. Calculate j.\nAnswer: -36, 723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 - 91*j - 118. Let m be c(24). What is the greatest common factor of 554 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174*a**4*c**2 + a**4*c - 2*a**3*c - 203*a**2*c**2 - 2*c**2 wrt a.\nAnswer: -4176*a*c**2 + 24*a*c - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42531.67 tonnes to micrograms.\nAnswer: 42531670000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 + 76. Let w(x) = 2*x**2 - 8*x - 4. Determine w(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 17*c. Let h(q) = -8*q - 96. Let d(b) = -3. Let t(y) = 32*d(y) - h(y). Give t(a(w)).\nAnswer: 136*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 135621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 + 14424?\nAnswer: 14304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*y**5 + 169*y**2 + 852*y.\nAnswer: 80*y**3 + 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 8*w**2 + 6*w + 20. Let l be r(9). Which is the closest to 0.1? (a) 4\/3 (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:00 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25430 (base 8) to base 13\nAnswer: -5038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 43, -52 in descending order.\nAnswer: 43, -1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24298084 by 3.\nAnswer: -24298084\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1062*r + 52*r**3 - 1062*r - 202*r**3 + 175*r**3.\nAnswer: 25*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 = -l - 3. Let z = 536 + l. Factor 2\/9*f**z - 2\/9*f + 0 - 4\/9*f**4 + 0*f**3 + 4\/9*f**2.\nAnswer: 2*f*(f - 1)**3*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4014)\/10035)\/((-3)\/195*(-5)\/(60\/(-6)))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -3.549.\nAnswer: -0.3549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 56 - 0. Suppose 2*g - 740 = -n*g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -39 + 43\/4*q - 1\/4*q**2 = 0.\nAnswer: 4, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/17))**(-34)\/(j**(3\/7)\/j)**(-27))**(-2\/31) assuming j is positive.\nAnswer: j**(272\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54626?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247202*z**2 - z - 247454*z**2 - 3 + 1.\nAnswer: -252*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11831 + -11741. Which is the second biggest value? (a) -3 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75902562 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 312 + 4?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 75d7 - 4?\nAnswer: 75d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2270?\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/42*360\/((-1040)\/26).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 i when four letters picked without replacement from fuvim?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001745388 rounded to six decimal places?\nAnswer: -0.001745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0816486911 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 5*j**2 + 2. Let a be t(-5). Let m(g) = 7 - 7 + 2*g - 4 + 3 + 4*g**a. Let d = -17 - -18. Give m(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23447207 take away 4?\nAnswer: -23447211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2, 6\/2491, -113, 5, -0.7?\nAnswer: 6\/2491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -2001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295779.\nAnswer: 181, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 7 + -1 + 16 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 - 20.84. Let w = 1.09 - 0.79. What is the closest to 0.3 in h, w, 1\/3, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 775 divide 25214625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3788*n = -3812*n - 24 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113\/9 + -1189\/99. Sort -4, -8, w in descending order.\nAnswer: w, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -208497, -208550, -208595, -208626, -208637?\n\"Answer: o**3 - 2*o**2 - 54*o - 208442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5492 * 15\nAnswer: -82380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.123348228 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 - 4*l**2 + 4*l**2 + (-3*l + 4*l + l)*(-2*l**3 + 4*l**3 - l**3) + l**4 - 2*l**4 + 2*l**4 - 3*l**4 + 0*l**4 + l**4.\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) -4 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -726*m + 0 + 2 + 726*m - 1 + 17*m**2.\nAnswer: 17*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6639 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = 2*k + l, -k + 9 = 2*l. Suppose -r + 380 = k*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206, -207, -218, -245, -294?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13615*d**2*g - 5*d**2 + 28*d + 2 with respect to g.\nAnswer: 13615*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 13 = 5*z + 3*o, -2*o = -4*z + 6. Find the second derivative of -6*q**z + q**2 - 6*q + 16*q + q**2 wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*t - 3 + 0)*(1 + 3 - 2) + 2*t + 3 - 3.\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 = 5*d + 4*j, 2*d + 2*j = -j + 164. Let q = 155 - d. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 48 = f, 2*f + 3*n + 2648 = 2673 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/13 - 2\/(-13) - -60. Suppose -75*d = -s*d - 27443. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2203 + -5?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*a + 35*a = 100*a + 1620 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -226*k - 14012. Calculate q(-62).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117.5 - 117.57. What is the closest to 1\/8 in y, -1\/5, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 5a?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/172 and -23\/2279.\nAnswer: 9116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.05, -2, -3.12, 1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 + -89. Suppose d = -2*l + 211, 5*l + 4*d = n*d + 530. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r + 4*r**2 + 4*r**2 - 9*r**2. Let o be l(4). Suppose -o*h + 17 = 1. What is the remainder when 5 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -125.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = 3. Suppose -71 = 4*d + 229. Let o = d - -76. Put 0, o, f in descending order.\nAnswer: f, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 18240, -628, 5 in ascending order.\nAnswer: -628, -3, 5, 18240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -6 + 0 + 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 67. Let y = o + 39. Sort 5, y, 1 in decreasing order.\nAnswer: 5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90730189 at least as big as -90730190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -9. Let r = -5 + t. Let v = 18 - r. Solve -5*z - v = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122.4 times -0.32\nAnswer: 39.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 5*w**4 - 2*w**4 + (-w**2 - w**2 + 3*w**2)*(3 - 1 - 1)*(w**2 + 6*w**2 + 12*w**2).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 3*n**2 - 3*n + 5. Let o be d(2). Let t be (-1 + 2\/1)\/o. Let u be 4\/(-8) + 2\/(-8). Which is the closest to -2\/5? (a) -2\/9 (b) u (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40777920?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1. Let b(i) = -i. Calculate b(z) - p(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 4*q - 29 = s, 0 = -2*s + 4*q + 6. Suppose -3*u + 16 + 17 = -s*i, 4*i + 27 = 3*u. Let z(y) = 4*y + 12 - 16 - 4*y - y. Determine z(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 15*s**2 + 59*s - 22. Suppose -v + 87 = 73. Is z(v) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o - 15. Let m be a(-3). Suppose -u + m*h + 2*h = 82, 0 = 2*u + 5*h + 155. Let y = 85 + u. Solve -4*k + 3 = y*b, -2*b - 4*k = -4*b + 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11914.9 to the nearest one hundred.\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u + 19. Let p be m(16). Let c = 97 - p. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-308)*84*(-6)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -24\/5, -5?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(((-1)\/(-1))\/1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 13. Let d(i) = 13*i**3 - 2*i**2 + 1. Let t be d(1). Suppose -2*f = -7*f. Solve -p*q - t = -f*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -487.7 - -488. What is the closest to 0.1 in z, -2, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 264618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 277 = 212. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m - 87. Let d be x(10). Suppose 3*k - 3*k = -d*k. Solve -q + 4*j - 6 - 3 = k, 18 = -4*q - 2*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1, 14 in ascending order.\nAnswer: -1, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 11*r**2 + 8 as q + z*r + y*r**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 59. Let x(f) = 14*f - 1. Calculate x(c).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 61d4756 + 5?\nAnswer: 61d475b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6726 divided by -2242.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(18\/27).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -356650 (b) -0.1 (c) 0.1 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2469699.77 to the nearest 10000.\nAnswer: -2470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d + 55?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11532769 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24872, -99488, -223854, -397976, -621860?\nAnswer: -895512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + (5 - 4) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 56 = 3*h. Let n = -10 - h. Let l be -6 - n*1\/2. What is l rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*m - 60, -60 = -0*v - 5*v + m. Let s = v + -7. Suppose -2*r + 1 + s = 0. Does 3 = r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 6:37 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1507, -3953, -6399, -8845?\n\"Answer: -2446*b + 939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18700\/(-165) + 112)*9\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111000281?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19883.51 millilitres in litres?\nAnswer: 19.88351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34.93 (b) 2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -3. Let x(v) = 6*v**2 - 4*v. Let m(t) = -3*t**2 + 2*t. Let u(k) = s*x(k) + 11*m(k). What is the second derivative of u(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1088) - sqrt(1088)*-1*-2) + -4*(sqrt(1088) - (0 + sqrt(1088))))**2 + 5.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269373 = -u + 1201115. Let g = u - 1581742. Round g to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(52\/48) - (2 + -7). Suppose y*g = -20*g. Solve g - 5 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26551011 (base 7) to base 6.\nAnswer: 124255403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:47 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7287, -7130, -6861, -6474, -5963?\nAnswer: -5322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l - 1. Give a(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 18977965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 6*h + 2*h + 1466, 0 = t - 4*h - 298. Suppose 2*n = n + 4*k + 154, 2*n - k = t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-60) - ((-532)\/(-16))\/(-19). What is the smallest value in 4\/25, z, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -10*x**5 + 245*x**4 - 1850*x**3 + 2845*x**2 + 11970*x - 6480 = 0.\nAnswer: -2, 1\/2, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.999992 + 7. What is g rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1432838125 + 1432838102.94770558. Let i = 0.05231642 + m. Let s = i - -22. Round s to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(118 - 8))\/((-460)\/(-75) + -6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = v + 3*d, -10 = 4*d - 2. Let s be (v - -1)*1 + 1. Suppose -s*r + 7*r = 90. What is the least common multiple of 14 and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11103, 12295, 14281, 17061?\n\"Answer: 397*s**2 + s + 10705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1003*n. Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 11*n**2 + 16*n - 23. Let w be m(-9). Which is the third biggest value? (a) 3.5 (b) 0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.69999801 + -1.7. Round y to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 8\/9, -216?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c. Let d(p) = 55*p + 1213. Let x be d(-22). Let l(g) be the third derivative of 0 + 0*g**x - 23\/24*g**4 + 6*g**2 + 0*g. Give l(r(s)).\nAnswer: -46*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -11. Let j = i - -22. Solve 19 = -2*q + 3*n, 5*q - 2*n + 3*n = -j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {y: 2, t: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 7, 6, 3, -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 49259 divided by 49259\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53875?\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waamaafmbwbaffamb. Give prob of sequence mm.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3113 is divided by 361?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (-8 + 26) - (31 + 12).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -9. Let f be (l\/(-33))\/((-1)\/9). What is the third derivative of k**3 + 17*k**2 + 0*k**f - 18*k**2 wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.32 - -11.32. Let z(y) = y**2 - 3*y + 2. Let x be z(3). Which is the closest to -1\/4? (a) m (b) x (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g - 2*g - g. Let l(d) = -11*d**2 - 7*d. Let r(h) = -4*h**2 - 2*h. Let o(x) = -2*l(x) + 7*r(x). Calculate i(o(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2512464 and 403104?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-88)*(-168)\/(-21)*22.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -9. Let w(k) = -o - 4 + 4*k**2 - 4*k**2 + k**2. What are the prime factors of w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 + 2*i**3)*(4 + 11 + 29).\nAnswer: 88*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77 + 536*x - 536*x + 54*x**2 with respect to x.\nAnswer: 108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -154*d - 35595. Calculate p(-232).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 21*t**2 + 23*t - 43. Differentiate r(i) wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -208.74 + 210. Let c = -43.26 + a. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let h = 3 - 0. Suppose -y - 4 = 3*v, -11 = -y + 53*v - 51*v. Solve -h*a + y + 1 = w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*g = 2106, 2*p = -3*p - 2*g + 2094. Does 70 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 25*s - 23. Calculate the remainder when g(24) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {d: 10, r: 2, z: 1, e: 5, h: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/5)\/(14\/1435). Suppose -5*a + 503 = -l. Suppose 17*t = 69 + 152. Calculate the greatest common divisor of t and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 96288 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8114?\nAnswer: 2, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141.\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3123, 2, -13689 in descending order.\nAnswer: 3123, 2, -13689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*g - 139, -190 = 3*g + 4*u + 8. Let f = g + 109. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47401 and 214?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 181324 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 26\/3. What is the closest to r in 0.1, -3, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 345 - 7?\nAnswer: 33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3251 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1288\nAnswer: 257.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 - (17 - 9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -521821, -1043621, -1565407, -2087179, -2608937?\n\"Answer: 7*i**2 - 521821*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:43 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*(1140\/20)\/(-19)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 798286\nAnswer: -2\/399143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 247.9 + 22.1. Let g = b + -270.007. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -360*f**3 - 185*f**2 - 202309*f?\nAnswer: -2160*f - 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60410 + -32183. Let y = -8908 + b. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64\/3 - 21. Let s(j) be the second derivative of 2*j - 2\/15*j**5 - 4\/9*j**3 + x*j**4 + 1\/3*j**2 + 1\/45*j**6 + 0. Suppose s(n) = 0. Calculate n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140247.35035 rounded to the nearest 100?\nAnswer: 140200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39057 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3409041742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 22 = -4*h, -q + 2*q - 3*h = 36. Suppose 0 = -q*a + 347 - 53. Let g be ((-18)\/4)\/((-18)\/48). Is g < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*s = -3, -5*m - 2*s + 18 = -3*s. Let n be m + 14\/(-4) + 2. Let b = -812\/1227 + -2\/409. Sort b, -21, n in ascending order.\nAnswer: -21, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 - 481155\/(-23470). Let y = 2\/2347 - b. Calculate the common denominator of y and -43\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/32 (b) 1\/2 (c) 2\/9 (d) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*r**3 + 17*r**3 - 171*r**3 + 206*r**3.\nAnswer: 272*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*c - 2 + (2*c + c - 9*c)*(0 + 1 + 1))*(-c - 2*c + c**2 - 2*c**2).\nAnswer: 14*c**3 + 42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 11*d + 739. Let l be r(-65). Solve -7*j - l = i - 3*j, 5*j + 41 = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**6\/120 - h**5\/60 - h**3\/3 + 3*h**2. Let u be a(2). What is the derivative of -3 + 2 - 2*n**u - 3 + 2 wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*z - 17*z - 52*z in the form a + s*z and give s.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25575, -39428, -53265, -67080, -80867?\nAnswer: -94620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-12)*(-292)\/(-1898).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 4*n + 1 = 3, -5*n = 4*r + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = -3*h. Let x(r) = r**2 + 4. Let z be x(0). Sort z, -1, h in descending order.\nAnswer: z, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/75)\/(15\/9)*5*70\/(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 4*x = 3*x - 2, 5*p - 5*x - 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = s, 0*s - 2*y = -3*s + 9. Let z(q) = 3*q - 2*q**2 - 9 + 9*q**s + 10*q**3 - 16*q**3. Is z(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(9*w + w - 3*w)*(4*w - 15*w + 39*w)*(w**2 + 3*w**2 - 2*w**2).\nAnswer: 392*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 0. Let x = -74 + 76. Solve -3*n - 4 = -2*n + x*z, 2*n - 5*z = w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1123053.05016405634 - 0.04386405634. Let y = 1122982 - c. Let a = y + 71. Round a to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -69671749 and -0.203?\nAnswer: 69671748.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*g + 113*g = -36. Suppose 0 = -3*x - 3*c + g, -3*x = -3*c - c - 46. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -335218*k**4 - 26*k**2 - 221.\nAnswer: -8045232*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*h**5 - 3*h**3 - 31893*h**2 - 28324313*h?\nAnswer: -340*h**3 - 18*h - 63786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -606*f**3 - f**2 + 3*f + 216.\nAnswer: -3636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*g - 319*g - 45 = 0. Let t be g\/22 + (-5)\/(-110). Factor -1\/4*d**3 + t*d**2 + 1\/4*d + 0.\nAnswer: -d*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34319*b**2*w - 58*b*r*w**3 - 6*r*w**3 - 4*r*w**2 - 4*r - 15010*w**3 - w**2 wrt b.\nAnswer: -68638*b*w - 58*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 6527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 5*y - 14. Calculate the remainder when 102 is divided by v(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 4. Determine w(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1235161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -24*g + 19*g - 5*y, g - 204 = 10*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**6\/90 - b**5\/60 - b**4\/36 + b**3\/18 + 10*b. Factor p(a).\nAnswer: a*(a - 1)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**3 - 2*j**2 - 2*j. Let v(b) = b - 5. Let l be v(3). Suppose -2*t + 22 + 8 = 0. What is the remainder when x(l) is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 955 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6002 or 6003?\nAnswer: 6003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:52 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*a - 281*a = -180413. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135519 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4432.71 years in centuries?\nAnswer: 44.3271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/((-28)\/84). Suppose 5*w + 15 = s, -4*s = w + a + 2. Solve x + 3*x - 16 = s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3917549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1762?\nAnswer: -1\/1762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20569 is divided by 146?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*l - 319*l - 123 = -473 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 693838532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13932957 is divided by 460.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*k, 0 = 21*b - 20*b + 4*k + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 32 = 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -285? (a) -2 (b) -5\/3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*r**3 + 10*r**3 + 13*r**3)*(4 + 11*r - 1 - 2).\nAnswer: -11*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -2 - (25 - (33 - 3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8483.97g to nanograms.\nAnswer: 8483970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - t - 2*t - 17, 11 = 2*y - t. Let n be -3 - (-2 - y\/5). Suppose -n*h - 1\/5*h**3 + 3\/5*h**2 + 1\/5 = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1286 - -2?\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*2 - -3 - -3. Let f be 2\/(-7) + r\/(-7). Let a = f + 26. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1838998496 to the nearest integer?\nAnswer: 42884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n*s**5 + 557*n*s + 1861*s**2 - 9*s wrt s.\nAnswer: -20*n*s**3 + 3722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-9)*l**9*l)**(-48)*((l\/(l\/(l\/l**(2\/3))*l)*l)\/l**3)\/((l\/l**(2\/5))\/l)**4 assuming l is positive.\nAnswer: l**(-14416\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 20*r**2 - 12*r - 147. Give h(18).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + 28\/(-10) + 4080\/100\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38824496.\nAnswer: 2, 661, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 412 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 6.44, -2\/7, -2\/19 in decreasing order.\nAnswer: 7, 6.44, -2\/19, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100011002 - 21?\nAnswer: -100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = 2*n, -4*v + 7 = n - 2*v. Let d be 502\/(-704) - (-20)\/110. Let g = -9\/16 - d. Is n <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2949 in 0, -1148, 2, 2\/13, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3627183?\nAnswer: 3, 7, 83, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 13 - ((42 - (14 + 9)) + 31)) + 5.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4059 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -300 and -1677 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -0.4, -78, -1\/6, -200 in decreasing order.\nAnswer: -1\/6, -0.4, -0.9, -78, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.47366l in millilitres?\nAnswer: 35473.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 1200, 4321, 10554, 20937, 36508, 58305?\nAnswer: 87366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 21*r + 2604. Let u be w(-122). Solve 2*d - 5*l + 15 = 0, u = 5*l + 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 3*i - 16 = 0. Which is the nearest to i? (a) -1\/5 (b) 6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 4 - 27 - 10 = -5*h, -6*h + 39 = 8*p - 11*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 981*h**3 - 54559*h**2 + 951075*h - 4615000.\nAnswer: -(h - 923)*(h - 25)**2*(h - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/2 of a gram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and -12.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 39 - 219)*(0*w**3 + 0*w**3 + 2*w**5).\nAnswer: -450*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/5)\/(-7*52\/910).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 9 = 3*w, 3*z + w + 13 = -w. Let k(v) = -v**3 + 3*v**2 - 3*v + 3. Let f(p) = -p**3 + 2*p**2 - 2*p + 2. What is z*f(i) + 2*k(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25056, 48000, 70944, 93888, 116832, 139776?\n\"Answer: 22944*j + 2112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 4100 = 6*f. What is f rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -7, -33, -75?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*g - 5. Suppose -m + g + 2 = 0. Factor -m*t**2 + 2*t**2 + 0*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -65*v - 3365. Give i(-53).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(17) - -2*sqrt(17)))*6)**2.\nAnswer: 648*sqrt(17) + 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + -1 + sqrt(252))*-4 + -3 + 0 + -1*sqrt(252) + 2)*-4)**2.\nAnswer: 4800*sqrt(7) + 101200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 10) in base 15?\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 16*w - 6 = 0. Let g = 0.1531 - 0.3531. Put g, 1\/5, -0.8, w in increasing order.\nAnswer: -0.8, g, 1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 325?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41633*h**2 + 157*h - 152164354 wrt h?\nAnswer: 83266*h + 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125294 is divided by 1360.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1869 + 2122. Calculate the remainder when x is divided by 253.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add together 1.3756619 and -0.0532.\nAnswer: 1.3224619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8, -2\/13, 3, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 175 = o, -2*a = -5*o - 5*a + 867. Let b = o + -169. Sort -2, b, -1, 7 in decreasing order.\nAnswer: 7, b, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.2 and 0.07.\nAnswer: 13.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82516909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -182 + 184. Solve h - 15 = -m*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(700) + 5)*6*4)**2 + -4 + (sqrt(700) - -4*(sqrt(700) + (sqrt(700)*-4 - sqrt(700)))) + -1.\nAnswer: 57450*sqrt(7) + 417597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -285707 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 477793721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4060?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) + (-1944)\/60. Let o be ((-9)\/6)\/(6\/t). What is the derivative of -o*w + 18 - 10*w - 14*w + 6 wrt w?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22456 and 18?\nAnswer: 202104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.9, -0.1, 1\/5, 0.5 in increasing order.\nAnswer: -0.1, 1\/5, 0.5, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1744 is divided by 106.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 322366395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 1\/77 (c) -2 (d) 4 (e) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 146289 + 146289. Let g(t) = -442*t. Give g(v(u)).\nAnswer: -442*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1498047?\nAnswer: 3, 499349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 1\/(-2 - -1). Let v(s) = s**2 + 1. Let r(h) = 5*h**2 + 5. Let m(t) = t - 7. Let q be m(8). Calculate q*r(a) + z*v(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60183 is divided by 164.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 65*r + 888. Calculate v(-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 115375975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -696629 = -696628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -295, -144, 829, 3008, 6777, 12520?\n\"Answer: 64*p**3 + 27*p**2 - 378*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 128*b**2 + 19*b + 15. Suppose -2*l + 32 = 22. Let j be d(l). Round j to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*n = 39, 6*n - 4*n + 24 = 3*z. Let u be z\/(-39) + (-132)\/(-13). Suppose 8 = -a + u. Solve 0 = a*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 520 - 385. Solve 3*y - h + 2 = o, y = 2*h + 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + -1 + 1 + 0. Calculate the remainder when 40 is divided by (1 + 34)*x\/(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.28 + 0.92. Let z = l - 9. Let m = 5.0928 - 0.0928. What is the second biggest value in -5, m, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 12 = -0*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 2. Let t be w(2). Suppose -2*k = -4*f - 58 - 44, -t*k + 126 = 2*f. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970 a factor of 472163020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -360, -454, -502, -498, -436, -310, -114?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d**5 - 98*d**4 + 256*d**3 + 278*d**2 - 84*d = 0. Calculate d.\nAnswer: -1, 0, 1\/4, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/(-28) - 3\/(-7). Let t(n) = n + 1. Let l(w) = 6*w + 5. What is f*l(y) + 4*t(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/45)\/(-8 + 23\/(-920)*-378)\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-2000)\/60)\/(-25))\/(-1*(-2)\/36). Solve -27*s - 9 = -v*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 + 2720\/6. Let s = q + -259. What are the prime factors of s?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3523057*p*v**3 + 3280709*p - v**3 wrt v.\nAnswer: 10569171*p*v**2 - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6 - (-26)\/(-6). Let l be (0 - 4)\/(-8)*0. Let q = 6 - l. Put x, q, -3 in increasing order.\nAnswer: x, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2364, 2363, 2362?\n\"Answer: -r + 2365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 43*l - 339 + 228 = 0, -p + 41*l - 44*l = -20 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3\/3 + 70*f**2\/3 + 196*f\/3 + 128\/3 = 0.\nAnswer: -32, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2982 + 2952. Is 1\/53 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*h + 1 - 1)*((-5 - 1 + 4)*(-1 + 2 + 0) - 2 + 0 + 1)*(5 - 4 - 2) to the form z + t*h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -6799.\nAnswer: 6802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/9)\/((52\/168)\/(-13)) is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*h + 1421*h + 3849*h + 11152*h to d*h + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47668 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2363*v - 264662. Let f be y(-112). Let h(m) = -2*m**3 - 2*m - 1. Let g be h(-1). Sort -3, g, f.\nAnswer: f, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-42)\/(-28).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 i when three letters picked without replacement from {q: 2, i: 2, e: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (190\/209)\/((-3)\/(-33))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 3*q - 14. Suppose -m = 9*m + 90 - 0. What is a(m)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -2201, -2 in ascending order.\nAnswer: -2201, -24, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Let p = 461 - 461. Which is the nearest to 1\/4? (a) z (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 3 + (-6 - (-8 - -4)). Sort -8, r, 0.1 in descending order.\nAnswer: r, 0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o**3\/7 - 3306*o**2\/7 - 48135*o\/7 - 159900\/7 = 0. Calculate o.\nAnswer: -205, -52\/5, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 - -1 - 0) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 67686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -14. What is the remainder when 46 is divided by ((-4)\/4 - -12) + o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10898*q**3 - 23*q + 13*q + 10*q.\nAnswer: 10898*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -211210020212 (base 3) to base 9\nAnswer: -753225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232 (base 8) to base 2.\nAnswer: -10011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -465\/7. What is the second biggest value in v, 1, -36?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - k + 40 = 0, 2*c + 2*c - 163 = -k. Let o = -9 + c. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 15 = -6*t. Suppose 0 = y + y + 2, 2238 = t*u - 3*y. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 - 4*z**2 + 3*z - 1. Let n be r(2). Solve n*x - 23 = -3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -14030234?\nAnswer: 14030236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3562586.835 - 0.36\nAnswer: -3562587.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s**4 + 356*s**3 - 152*s**2 - 976*s - 480 = 0. Calculate s.\nAnswer: -30, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1047, 2, -1, -2, 0 in ascending order.\nAnswer: -1047, -4, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17586?\nAnswer: 2, 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y + 2. Let p = 3 - 14. Let x = p + 8. Does 11 divide r(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**3 - 590*j**2 + 1165*j - 580 = 0 for j.\nAnswer: 1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 14 = -7*n. Let s be (-224)\/(-22) + (-6)\/33 - n. Suppose 0 = 10*b - s*b - 74. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 - 32\/(-20). Suppose 0 = 2*j + v*j. Suppose 5*u - 23 = 4*o, -u + 19 = -j*u + 4*o. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -143, -143, -145, -149?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*v - 30. Sort 2, v, 96, -1 in increasing order.\nAnswer: -1, 2, v, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = 0, -16*y + 13*y + 4*l - 8 = 0. What is the biggest value in 0.01, y, -0.5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x**2 - 2*x + 4. Let z be s(-3). What are the prime factors of (-4)\/(-22) + z\/(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 - 31 = 5*k. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 126, 16896 in descending order.\nAnswer: 16896, 126, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 8*a - x = -2, 3*x + 9 = a. Let o be 2\/(-6)*(-61 + 10). Let d = o + -18. Sort -2, d, 1, a in increasing order.\nAnswer: a, -2, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149092 is divided by 52230?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 3*h - 51. Suppose -2*l = h - 73. Suppose 4*t - 3*r - 56 = -7*r, -5*t = r - 54. What is the remainder when l is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, r: 1, s: 2, t: 1}. Give prob of picking 1 s and 2 z.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-2899.19\nAnswer: -115.9676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 2*x**2 + 5*x - 2. Give j(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.096 + 49.\nAnswer: 48.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g\/g**(-6\/17))\/g)\/g**10)\/(g**(-13)*g**(8\/3)) assuming g is positive.\nAnswer: g**(137\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n = 9*n. Determine o so that 2\/3*o + n + 2\/3*o**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 - 16 = 0. Suppose h = -z*n + 43, n - 5*h + h + 4 = 0. Calculate the greatest common factor of n and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 11*x**2 - 11*x + 15. Let j be g(10). Suppose -f + j*f = 80. Solve 0 = 2*a + n + n + f, 2*a + 4*n + 30 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4822 divided by -13228.\nAnswer: 2411\/6614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 641476 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-3))\/(-29 + (-3120)\/(-108))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b = 95. Let g(p) = -19 + b - 3*p**2. Let i(r) = r**2 + r - 1. Let y(f) = -2*f**2 - f + 1. Let v(m) = 3*i(m) + 3*y(m). What is g(v(u))?\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:22 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 7*h**5\/5 - 13*h**4\/3 - 4*h**3\/3 - 47*h. Factor i(m).\nAnswer: 4*m*(m - 2)*(7*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 17*s**8\/336 - 13*s**5\/20 - 12*s**2. Find the third derivative of f(x) wrt x.\nAnswer: 1020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24.64? (a) 0.9 (b) 3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/17 - 228*z**4\/17 - 6348*z**3\/17 + 17600*z**2\/17 + 544350*z\/17 + 1624500\/17 = 0.\nAnswer: -57, -5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 9:05 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/1285 + 258\/1285. Let t = 36 + -38. Let r = -2.5 - -3. Which is the closest to k? (a) -1\/2 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**2 - 5*o - 2. Let m be t(-2). Let r be m\/8*(-40)\/12. Suppose -r*k + 890 = 4*l, 3*k = -l - 62 + 288. What are the prime factors of l?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2250)\/100*(-8)\/12. Let g(f) be the first derivative of 3\/20*f**2 - 1\/10*f - 1\/10*f**3 + c + 1\/40*f**4. Factor g(u).\nAnswer: (u - 1)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 10*f = 30 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + f + 2*f + (3 - 2 - 2)*(1 - 2*f - 1) + 2 - 2 + 4*f + (-4 - 1 - 1)*(-2*f + 7*f + 8*f).\nAnswer: -70*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 35. Let h(r) = -3*r - 756. Give h(f(b)).\nAnswer: 3*b - 861","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48.13 + -48. Let m = -26749.86979 + 26750. Let z = m - y. Round z to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 v, and 1 t when three letters picked without replacement from {v: 1, m: 1, t: 2, p: 5, h: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.45291 - -2269.07709. Let b = -2270.5059982 + s. Let z = 0.024 - b. What is z rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l + 2. Let d(a) = 27*a - 8. Let c(b) = -2*d(b) - 9*r(b). What is the least common multiple of 12 and c(2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 - 31*o + 34*o - 6*o**5 + o**5 + (o**2 + 2*o**2 + 7*o**2)*(-o**3 - 3*o**3 + 5*o**3).\nAnswer: 7*o**5 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5311944 is divided by 5311933.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30150406721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 8*k - 6. Let m be q(-5). Suppose m = 4*t + 1. Which is the smallest value? (a) 3\/2 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*l - 134 = 0, -17*w - 109 = -21*w - 3*l. What is the remainder when w is divided by (-2 - -3)\/(1\/15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 82, 4, 1, -1.\nAnswer: -1, 1, 4, 17, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(25)\/sqrt(5))*2 + sqrt(5)*-4*-3.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -817.8 + 818. What is the nearest to p in -2\/3, 5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-4)\/(-60) + ((-88)\/(-10))\/11. Solve 4*t = 2*l - 4, -l + t = -2*l - m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.355 + -34.855. Let v = z + 29.5. What is the closest to 19 in -1, v, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let d(n) = 7*n + 1. Let x(f) = d(f) + 3*s(f). Let w = -19 + 20. Determine x(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 247623 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/29552692 and 33\/73881730.\nAnswer: 147763460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/(-20)*12\/15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*(-13)\/((-39)\/(-2)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emvvucm. Give prob of sequence meu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189.29681 - -0.36681. Let s = g - -188. Let o = 0.93053 + s. What is o rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21505 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i*j**4 + 1115*i*j - 1543*j**4 + 12*j**2 wrt j?\nAnswer: -24*i*j**2 - 18516*j**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*j = -42*j + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j. Let q be (-2)\/((-4)\/14 + j). Let l = q - 4. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 30470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3808 divided by -952?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2))**20*t**(-17)*t*t**(-17) assuming t is positive.\nAnswer: t**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h**3 + h**2 + 11*h - 12. Let u(p) = -p**3 + p**2 - p. Let g(z) = j(z) - 6*u(z). What is the hundreds digit of g(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1280 = -4*b - 3*v, -5*b + 1600 = -0*b - 3*v. Suppose -2*y + 2*h = -b, 810 = 5*y - 0*h + 5*h. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 13434886?\nAnswer: 1\/13434886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 1, w: 2, l: 2}. Give prob of sequence wl.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 11*n**2 + 16*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84226*w**3 - 53263*w?\nAnswer: -505356*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 12:08 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*z**3 + 40*z**3 - z**4 - 2*z**4 - 66*z**3 - 3*z + 13*z**2 in the form t*z**2 + x*z + b*z**3 + c*z**4 + y and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -2*t**3\/3 - 5*t**2\/2 + 6*t - 13. Let c(w) = 3*w**2 + 6*w - 7. Calculate 4*c(z) + 5*n(z).\nAnswer: 2*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 21 = 3*l. Let f = -45 - -64. What is the least common multiple of l and f?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-2))\/3)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219 - 162. Suppose 0 = -n + 21 - 1. Calculate the remainder when w is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498187440 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.439669 rounded to 2 decimal places?\nAnswer: -12.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 5:43 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1931185*u**3 + 1761392*u**3 - 683467*u**3.\nAnswer: 3009110*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11305 + -11300. Solve h - t*h + 13 = 3*w, 0 = -h - 5*w - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101492?\nAnswer: 2, 25373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28944571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, n: 3}. What is prob of sequence nr?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 3*f**2 + 4. Let l be y(-3). Suppose 4*d + l*i + 584165 = -364163, -6 = 2*i. Let v = 118079 + d. What is v rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056368351 rounded to four dps?\nAnswer: -0.0564","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * 0.1.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -1 + 22 + 40 + -63\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732335 + 2613315 = -5*h. Let q = 5923804 - h. Round q to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 3:34 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -4*t + 4*d - 7, 4*t - 15 = 5*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2537723142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -19*w**2. Let n(g) = -17*g**2. Give q(n(h)).\nAnswer: -5491*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 2847\/(-728) + 18\/(-48). Which is smaller: b or 1.1616?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221085246?\nAnswer: 2, 3, 23, 1602067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -2 + 2*k**2 - 1\/180*k**5 + 7\/18*k**3 + 0*k + 1\/12*k**4. Factor w(q).\nAnswer: -(q - 7)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*i**3*p*u**2 - 10*i**3*p + i**2*p*u + 2*i*p*u**2 - 9*i*u**2 + 5*u wrt i?\nAnswer: 174*p*u**2 - 60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 15 - 15)*(-2 + 2 - 2*s**4).\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m + 12. Let b(j) = -2*j**3 - 2*j**2 - 3*j. Let s be b(-2). Suppose -s = -5*p + 16. What is the remainder when p is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*m*n*r**2 + 90*m*n + 4297*m*r**2 - n*r**2 + 7*n*r - 51*n + 2 wrt r.\nAnswer: 76*m*n + 8594*m - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 378488029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000384575 to six decimal places.\nAnswer: 0.000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 5:21 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, -2, 1 in increasing order.\nAnswer: -9, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*z + 174, -2*r - 3*r = 5*z - 285. Let o be 1254\/r + (-6)\/27. What is the highest common divisor of 184 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 divided by -1?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 0*l**4 + 4*l + 0 + 0*l**3 + l**2 + 2\/15*l**6 + 0*l**5. What is the derivative of h(j) wrt j?\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 23*f**2 + 6*f**2 + 29*f**2.\nAnswer: 62*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*g - 217 = -136*g. Solve 22 = g*o + 43 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -213. Calculate the remainder when p is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1381*k + 1390*k + 63 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjksjkmrmkjkkks. Give prob of picking 1 m and 2 r.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 3*b**2 + 24*b - 77. Give o(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from cyy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l + 3. Let z(a) = 5*a - 6. Let y(b) = -11*b + 7. Let t(x) = 2*y(x) + 3*z(x). What is -3*t(h) - 4*v(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + -2) - 3 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -4 - (15 - 2). Let i = 19 + g. Round i to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 2179*k + 59883. Give w(-27).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u. Let k(o) = -7*o + 35*o - 13*o + 10*o**2 - 15*o. Calculate k(n(y)).\nAnswer: 250*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 8*u**2 + 4*u - 10. Calculate the common denominator of y(-8) and -97\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + x + 4*x + 86, 2*x - 28 = d. Let r = -60 - -2. Let m = d - r. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -40*u - 6. Give j(2).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -2 (b) 16 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4206*z**3 - 3285*z**2.\nAnswer: -25236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, e: 4, p: 4}. What is prob of sequence tp?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 924*m + 4 + 363*m - 4.\nAnswer: 1287*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 0.489 (c) 0.5 (d) 1\/5 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 840870 not equal to 840872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1451, 11650, 39289, 93092, 181783, 314086, 498725?\nAnswer: 744424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z = -0*z + 189 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -5*t**2 - t + 24. Give c(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2078 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 888 and 888?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)\/w**(-3))\/(w**(2\/7))**(2\/63)*((w\/w**0)\/w)**(1\/30)*w**(-4)\/w*w**3 assuming w is positive.\nAnswer: w**(113\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 + 19*g - 27. List the prime factors of r(-12).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 813 + 747 = 0. Calculate the remainder when h is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**5\/60 + m**4\/4 - 203*m**3\/6 - 234*m. Let n(u) be the second derivative of s(u). What is n(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 3*s. Let z(j) = -23*j**2 - 21*j. Let t(v) = 11*v**2 + 11*v. Suppose -9 = -b - 4. Let w(c) = b*t(c) + 2*z(c). What is 26*u(n) - 6*w(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 32 = 4*v - 2*r, 0 = -3*v + 2*r + 40. Let t = -9 + v. Find u such that 3*u**2 - t + 5*u**3 - u**3 - 3*u - u**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*(8\/(-6) + 1). Suppose -t*b + 258 = -b - 5*h, -5*h = 2*b - 218. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 8 = 2*z. Let v be (-2)\/(-4)*8*z. Solve 3*c - 5*h - 2 - 22 = 0, c - v*h - 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 6*a. Let c be m(5). Find the second derivative of 2*j**c + 2*j - 3*j + 0*j + 5*j wrt j.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*x = -26, 2*n + 2*x = -n - 35. Let m = -9 - n. Let -3*a**4 - m*a**3 - a**2 - a**3 + a**5 - 2*a**5 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6770108318 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552799017 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.21526879 rounded to three dps?\nAnswer: -1.215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200202202121 (base 3) in base 12?\nAnswer: 375407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 4, 0.5, 7, -0.4, 136 in ascending order.\nAnswer: -4\/3, -0.4, 0.5, 4, 7, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-3)*-3 + -1. Suppose -s*m + 40 = m. Suppose 0 = 5*n - 5*j - 45, 0 = 3*n + j - 7 - m. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0420700096 - -5?\nAnswer: 5.0420700096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -376.3 + 488. Let a = u - 110.801. Round a to 2 decimal places.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15857.\nAnswer: 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 7:09 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = -94 + 104 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**3 - 5982*p**2 + 1076852*p + 6676032 = 0.\nAnswer: -3161, -6, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17149, 74461, 171933, 309571, 487381, 705369?\n\"Answer: l**3 + 20074*l**2 - 2917*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8*f**2 - 2*f - 4. Give o(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4 - 0\/1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 341d?\nAnswer: -341e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2144*q**3*v - q**2*v + q*v - 845 wrt q?\nAnswer: -12864*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2630 divided by -526.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-5 + 6) - -6) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10001100 (base 2) to base 15\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10744, -42952, -96644, -171826, -268504, -386684, -526372?\n\"Answer: -k**3 - 10736*k**2 + 7*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05287 and -1282.\nAnswer: 67.77934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -49d20 (base 15) to base 4\nAnswer: -321210312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 6*h**2 - 6*h + 6. Let p be b(7). Is 13 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612542432?\nAnswer: 2, 19141951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35023 + -34999.531. Let q = -24.48 + y. Let k = -1.07 - q. What is k rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**4\/2 + u**3 - 14*u**2 + 15*u - 9\/2 = 0.\nAnswer: -3, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2. Let m(k) be the second derivative of -k**4\/12 + 15*k**2\/2 - 19*k. What is q(m(z))?\nAnswer: -2*z**4 + 60*z**2 - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 + 31*n - 28. Determine t(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/m**(-5\/17))*m\/(m*m**24*m))\/(m**(2\/57))**43)**20 assuming m is positive.\nAnswer: m**(-500060\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 5. Let f = 3 + -6. Which is the second smallest value? (a) u (b) f (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9375371549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13858417 divided by 1?\nAnswer: 13858417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j**3*n**2 - 668*j**3 + 140*j**2*n**4 wrt n?\nAnswer: 6*j**3*n + 560*j**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1 - 0\/(-4). Let x = 0 + 0. Let j = 5 - x. Which is the second biggest value? (a) 0.4 (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (4 + -7) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 17 = -f, -2*r - 7 = 3. Suppose 2*d + f*o + 11 = 2*o, -3*o = -3. Calculate the common denominator of 73\/10 and (97\/(-16))\/(3\/d).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 18. Let c be p\/6*12\/(-8). What is the derivative of 5*u**c + 9*u**4 + 6 - 18*u**4 wrt u?\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410047 + 134*d + 410047 + 47*d.\nAnswer: 181*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*d + 525502, -5*d - 167350 = -t - 35988. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 - 21*j - 30647*j**3 + 30645*j**3 - j**2 + 28 + 3*j**2 to the form v*j**2 + l*j + z + d*j**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*n = 184*n - 849720. What is n rounded to the nearest ten?\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 107, 180, 253, 326?\n\"Answer: 73*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 36771728?\nAnswer: 36771728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869.1 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 136.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 28\/(-16)*(79 - 71)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/7 + 2*s**3\/7 + 12*s**2\/7 - 40*s\/7 + 32\/7.\nAnswer: -(s - 2)**3*(s + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -8.7?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and -5944?\nAnswer: -249648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 457881.7 centuries in months?\nAnswer: 549458040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3063503786 to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = -2*d - b - 105, 4*d + b + 799 = 0. Let q = -178 - d. Calculate the highest common divisor of 638 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/87 in -3665, -0.13, 3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.081506 millilitres to litres.\nAnswer: 0.004081506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 8 + -4 - -36300 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a - 4*d - 8 = 0, -d = -5*a + 18. Let s be (a - 0)\/(-5 + 7). Let t(w) = -5*w + w + s*w. Let f(v) = 4*v. Determine f(t(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*m + 5, 2*m + 2 = -q - q. Let v(n) be the first derivative of n**3\/3 + n**2\/2 - 4*n - 770. Calculate v(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4 + 84*i**3 - 3224*i**2 - 122640*i + 536256 = 0.\nAnswer: -42, 4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10421 is divided by 95?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 3*p - 135 = 0. Suppose -11*n + p*n = 2376. Suppose -21*b + 398 + 736 = 0. What is the greatest common divisor of b and n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 - 18*f - 9. Let k be g(7). Factor 5*q**2 - 6*q + 24 - k*q + 2*q**2 - 4*q**2.\nAnswer: 3*(q - 4)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1909*w + 7244*w + 6217*w.\nAnswer: 11552*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1468 + -0.04\nAnswer: -1468.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 605392, 605391, 605388, 605383?\nAnswer: 605376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**4\/12 + 3*m**2 - 125. Let b(u) = 3*u**2 + 82. Give b(s(l)).\nAnswer: 12*l**2 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t + 5. Let f(g) be the first derivative of -g**2 - g - 18. Determine 2*d(b) + 11*f(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2393 and 1041.\nAnswer: 3434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 16*n**4 + 48*n**3 + 54*n**2 + 27*n + 9. Factor q(m).\nAnswer: (4*m + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*i + 10*i - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfwffwxxwxwfwwx. What is prob of sequence xwx?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from wjnwwcrnnnwwcwrwdnnw?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 543\/(-6)*3*12\/(-54). Let m = j + -247\/6. Find the common denominator of 19\/10 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2789292?\nAnswer: -1\/929764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z**4 - 742*z**3 + 1696.\nAnswer: 4*z**3 - 2226*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**2 - 3*v + 3*v**3 + 0 + 1\/30*v**5 + 1\/2*v**4. Let f(r) be the first derivative of b(r). Factor f(k).\nAnswer: 2*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - (-37 - (-23 + -6)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -26*c. Let m(v) be the second derivative of -89*v**4\/6 - v**2\/2 + 2950*v. Determine b(m(x)).\nAnswer: 4628*x**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25735663.08446203087369287 + 0.02253849912630713. Let s = v - 25735663. Let x = s - 0.107. What is x rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/42)\/((-600)\/420))\/((-20)\/(-30))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5 - 124*s**4 - 358*s**3 - 236*s**2 = 0.\nAnswer: -59, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {x: 1, b: 2, e: 2, p: 1, d: 4, q: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -133 + 13. What is the nearest to -1 in -1\/12, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.179 and 0.194.\nAnswer: -0.228726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17137332073\/725 - -23637706. Let a = d + -147\/29. Is a equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/144103533 and 173\/23688252.\nAnswer: 1729242396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*i + 25520 = -47*i + 110*i + 132*i for i.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 2*z - 1\/8*z**3 + 0 + 5\/48*z**4 - 9\/8*z**2 - 1\/80*z**5. Factor d(t).\nAnswer: -(t - 3)**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/673 in 13, -14, -3\/8, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -5 - (-21 + 8)) + 2 + 0\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -4\/15*r**4 + 1\/150*r**6 - 8\/15*r**3 + 1\/210*r**7 + 1\/1680*r**8 - 4\/75*r**5 + 0*r + 32*r**2 + 1. Let n(b) = 0. Calculate b.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 3)\/(-21 + 3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 29 = -5*r, -210*r + 205*r - 2*n = 27 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20051 - -23633?\nAnswer: 44014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.048 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwf when three letters picked without replacement from fwuwf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2651.2, 0.3, -5, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225241219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lipm when four letters picked without replacement from cliimmcpmpmpmp.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -4, 55 in ascending order.\nAnswer: -4, -2, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 5:01 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3209921 or -3209920?\nAnswer: -3209920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1867.314323 to one dp.\nAnswer: -1867.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 74\/(-6) - (-806)\/186. Let s(z) = -5*z + 9. Let b(o) = 3*o - 4. Let g(c) = 7*b(c) + 4*s(c). Determine g(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 8, 14 = -k + 2*t + 2*t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**3 - 5*x**3 - 3*x**3 + (3*x**2 + 3*x**2 - 5*x**2)*(0*x - 2*x + x) - 2 + 2 + 4*x**3 to k*x + s*x**2 + j*x**3 + n and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1db (base 16) in base 4?\nAnswer: -13123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 20. Let j = 80 + -71. Suppose -x*w - j = -0*w + 3*s, -w - 3*s = 9. Sort -4, 2, w in descending order.\nAnswer: 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 1 + 4\/6. Let f = 57 + -53. Which is the closest to -1? (a) v (b) f (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 213, 410, 585, 726, 821?\n\"Answer: -2*z**3 + z**2 + 208*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(25\/(-249)*229 - (409 + -432)).\nAnswer: 2\/249","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-8)\/(-300)*10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29027868421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -182.\nAnswer: -182, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 14*p - 36. Let z be ((-2)\/(-3))\/(p\/(-27)). Sort -7, -3, z in ascending order.\nAnswer: -7, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5701945, 11403932, 17105915, 22807894?\nAnswer: 28509869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 265041 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/27)\/x**(1\/4)*(((x**(-3\/7)*x)\/x)\/x*x)\/x**(-8))\/(x**(-9)*x*x**7)**11 assuming x is positive.\nAnswer: x**(13795\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -2*a**5 + 6*a**2 - 1. What is the second derivative of v(n) wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 7:44 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103\/5 or 8457?\nAnswer: 103\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 1, -4 in descending order.\nAnswer: 93, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + 0 - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*t**2 + 17*t**2 - 31*t**2 - 11*t)*(-3*t**3 + 6*t**3 - 2*t**3).\nAnswer: -2*t**5 - 11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 7:30 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(252) + (sqrt(252) + sqrt(252)*3)*-2 - (sqrt(252)*1*-1 + sqrt(252))) + 5 + -3*(3*(1 + sqrt(252)) + sqrt(252))))**2.\nAnswer: 8208*sqrt(7) + 818892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 18 + 2. Solve -3*x + 6 = 4*g + 2, -v*x = 2*g - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13*c**2. Let r(b) = -7*b**2 - 340*b - 337*b + 1016*b - 2 - 339*b. Determine r(g(q)).\nAnswer: -1183*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14233 + 311?\nAnswer: -13422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + k**2 + k - 1. Let l be o(1). Let v be l*1*3\/(-3). Solve 4*j = -v*j - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*-1284\nAnswer: -166.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -951.82049 - -951.11. What is u rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-9)*d**11 assuming d is positive.\nAnswer: d**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 3 - 3 + (u - 5*u + 3*u)*(2 - 1 + 1))*(3 - 2 - 2)*(3 + 1 + 4) as g*u + a and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56213644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 404*h + 143*h + 339*h - 982*h**5 - 2047*h**5 wrt h?\nAnswer: -60580*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 2. Let w = -5 + 8. Let u(d) = -1 - 2 + 5 + 0 + w*d. Give -4*i(h) - 3*u(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1664941*k + 236. Let j be a(-4). What is j rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -14) + -12 + -3 - -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -6*q + 4*q + 122, 3*m + 94 = -5*q. Which is smaller: -37 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -873*x + 1027. Calculate l(4).\nAnswer: -2465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a minute in milliseconds?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 39. Let k be x(12). Which is the fourth smallest value? (a) k (b) 2\/5 (c) -2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2221, 4426, 6605, 8752, 10861, 12926, 14941?\n\"Answer: -k**3 - 7*k**2 + 2233*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3645) + -1 + -2*sqrt(80) + ((sqrt(10)*-1)\/sqrt(2) - sqrt(5)).\nAnswer: -1 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12368857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29447 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 164742043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/28)\/((-770)\/(-21))*16.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 + 9*q - 75. Let t be y(0). Let z = t + 496. Is 34 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -5*j**3\/3 - 3*j**2 - 5*j - 14. Let v(f) = 11*f**2 + 13*f + 11. Determine 13*s(x) + 6*v(x).\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -12) + -17 + 0 + 10 + -7\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 2834*k**2 + 4.\nAnswer: 2834*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/4 + 48849*v**2.\nAnswer: 3*v**2*(v + 65132)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -3)*3\/(-6). Put f, 5, -0.2 in increasing order.\nAnswer: -0.2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(-54) + (2 - 3))\/(-1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 12. Solve -n - n = o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-50143\nAnswer: 5014.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**2\/2 + 7335*t + 73475\/2 = 0?\nAnswer: -5, 2939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/49 greater than 1\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {l: 5, k: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290*f = 61720 + 10859 + 21591 for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 1. Suppose 0 = 2*h - 0*h - 10. Is k(h) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.491024 years to decades.\nAnswer: 0.7491024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + 57 - (5 - 0 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 3, w: 4, o: 9}. What is prob of picking 2 c?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*n - 13. Suppose -2*o = -3*k + 9, 21 = 4*k - k + 2*o. Suppose 0 = -k*y + 15 + 10. Calculate the least common multiple of n and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20336)\/(-868) - (-27)\/(-252)*(-8)\/(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(-4)*z)))\/(z*z*z*z*(z**(1\/5)\/z)\/z)*z*z**5*z*z*z**1)**(1\/14) assuming z is positive.\nAnswer: z**(19\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -12667813.797 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 305 - 296. Suppose -5*h + 7 = 2*q - l, -3*q + 3 = -3*h. What is the smallest common multiple of 122 and q?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxe when three letters picked without replacement from xhxeff?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/103274304 and -83\/5376?\nAnswer: 413097216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ea8 (base 15) to base 3.\nAnswer: 111210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-22)*w*w*w)\/w**23*(w**(2\/11))**(-1\/17) assuming w is positive.\nAnswer: w**(-7856\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.4 + 29.4. Let r = -22 + w. Let o = 0.46 + -0.06. Which is the third smallest value? (a) r (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55961009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**4 - 6*f**3 + 2. Let s(c) = 9*c**4 + 11*c**3 - 3. Let z(j) = 6*s(j) + 11*w(j). Find the first derivative of z(p) wrt p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -95\/3. Let w = -2 - -1.8. Which is the smallest value? (a) 0 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/45 and 43\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, f: 2, a: 3, r: 1, n: 3, y: 1}. Give prob of picking 1 a and 1 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19989 is divided by 61.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fff. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -50, -100, -170, -266, -394, -560, -770?\n\"Answer: -q**3 - q**2 - 26*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0738 + 0.0735834. Round a to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 1. Let z(q) = -3*q**2 - 3. Let b be z(2). Let m = b + 43. Suppose 6*l - 8 - m = 0. Let f(s) = -s + 1. What is l*k(a) + 7*f(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*-6*sqrt(153))\/(sqrt(108)\/sqrt(192) - ((sqrt(72) + sqrt(72)*3)\/sqrt(8) - sqrt(9)))*4.\nAnswer: -2304*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -67*z**2 - 6140*z + 8452. Determine s(-93).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -27*p + 4*p - 12*p. Let k(g) = 2*g**2. What is k(z(x))?\nAnswer: 2450*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 654 divided by -3.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 16 = 5*t, 6*t + 11 = 8*t + 3*s. Solve -t*r + y + 1 + 2 = 0, 3*r - 5*y = 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*v - 102*v - 101*v - 2*v**2.\nAnswer: -2*v**2 - 128*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 4. What is o(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 - 2*m**2 + m**2 + (-2*m**2 + 2*m**2 + 2*m**2)*(-2 + 0 + 0) + 0 - m**2 + 0 + (2*m + 5 - 5)*(5*m - 14*m + 0*m).\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5*v - 80, 0 = v + 525*u - 541*u + 63 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-8)*90584\/4355?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -72844988?\nAnswer: -21853496.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -15\/7, -2, 0.5, -6839, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46986361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89440 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.6 - 11.6. Sort f, 1, -46, -5 in decreasing order.\nAnswer: 1, f, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111072390 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.049.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (4\/(-14))\/(256\/(-22400896))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8312.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*h + 726 = 726. Let i(z) be the first derivative of 1\/66*z**6 + 0*z + h*z**2 + 0*z**4 + 0*z**3 - 16 - 1\/55*z**5. Solve i(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d - 1. Let r(w) = 2*w + 1. Let l be r(-1). Let n be z(l). Which is the smallest value? (a) -5 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 62*i + 46. Let l be m(31). Calculate the highest common divisor of 184 and l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + l - 718 = 0, 2*n - 5*l = 398 + 75. Suppose n + 157 = 9*m. Calculate the remainder when 153 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.1 - -0.9. What is the biggest value in -2\/5, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 44. Suppose 2*q - 23 = -t. Calculate the highest common divisor of q and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41122 is divided by 13675?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 305748 and 298.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -341?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 59 = 3*k + 77, 48 = -8*k - 4*o for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + -1*sqrt(343) + 6*(2*sqrt(343) + sqrt(343))*6)**2.\nAnswer: -2996*sqrt(7) + 3927011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17716463591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 9349?\nAnswer: -9353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/33 and (1 + 40 + 1\/1)\/(10107\/(-2)).\nAnswer: 37059","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 892*p**5\/5 - 403*p**2 + 877. What is the second derivative of r(l) wrt l?\nAnswer: 10704*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = -2*d + 290. Suppose -h = -7*h + d. Let s(j) = -6*j + 1. Let m(b) = 11*b - 3. Give h*m(z) + 7*s(z).\nAnswer: 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 - 5 = 5*k, -3*k - 3*v = -6. Let u be k + (-2)\/(2 - 0). Is -3\/4 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -99*k + 34. Let m be i(-10). Let p = 1697 - m. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-26)\/(-65) - 3084\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -11*g**3 + 3*g**2 + g - 1. Let s be v(-1). Suppose -3*p = y - 10, -2*y + y + s = 4*p. What is the units digit of 2\/((-432)\/(-212) - p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 663, 1299, 2201, 3375, 4827, 6563, 8589?\nAnswer: 10911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/25*(-4)\/(-2)*440\/44?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14034?\nAnswer: 2, 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 155 + 12*l**2 + 30*l**2 - 155.\nAnswer: 42*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(1\/(-1)))\/((-1)\/2). Let q = -2271 - -3260. Suppose 4981 = 5*j + 2*d - 0*d, 0 = -j + h*d + q. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from riiirtietiii. Give prob of sequence rer.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4408 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -951 - -1106. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 - ((-2)\/7 + 57\/(-21)) and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21603 + -3606?\nAnswer: 14664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 0*w + 0*w. Suppose -5*g - 6 = -36. Let p(h) = -3 - 3 + g - h. Determine p(n(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from maaxaaxaaamx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + v - 4*v + 14 + 548*v**2 + 5*v.\nAnswer: 548*v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 536719 - 15028037\/28. Calculate the common denominator of m and ((-5)\/48)\/(1\/9).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 15*k**3 - 2*k**2 + 40. Let v(i) = -7*i**3 + i**2 - 20. Let s(z) = -6*b(z) - 13*v(z). Is 7 a factor of s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140764*j**4 + 27760*j**2 + 16?\nAnswer: -3378336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - -30301230?\nAnswer: 30301131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18677599 to the power of 1\/2, to the nearest integer?\nAnswer: 4322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 205771627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -460766361 - -4?\nAnswer: -460766355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - -5.2. Let r = p - 6. What is the third biggest value in 5, r, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - u - 1 = 0, 0 = r + 2*u + 2*u - 11. Let c(b) = -2*b**3 + 4*b**2 - 2*b. Let s be c(2). Let w be ((-35)\/(-10))\/(2\/s). Put w, -3, r in increasing order.\nAnswer: w, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -415, -1180, -2573, -4780, -7987, -12380, -18145?\nAnswer: -25468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -172.36?\nAnswer: -51.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -111.\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 817582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-124)\/(-44) - 3) + (-5848)\/22. Let h = n + 1287. Let w = h - 451. Round w to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2581*c + 2606*c + 75 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times 4?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -420 - -769. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = 0, -5*g + 0*h + 271 = -3*h. Suppose g - 70 = -u. What is the highest common divisor of u and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 9. Suppose -265 = -a*r + 365. Let n be r\/5 + (-1)\/5. Solve -5*x - 11 - 9 = 5*c, 5*c + n = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1120, 2, 512, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131220322 + -11?\nAnswer: -131220333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = p + 3. Let n = -7 + p. Is n at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from ggrrrggrrggggfrc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by 624.\nAnswer: 23\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a - -2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 1. Let z(l) = 1. Let i be ((-2)\/24*4)\/(1\/3). Give i*t(s) - 2*z(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**4\/6 + 2*v**3 - v**2 - 441*v. What is i(8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592) - (sqrt(2592) - -2*sqrt(2592)) - 5*sqrt(36)\/sqrt(2))\/(2*sqrt(729) - (sqrt(9) - (sqrt(9)*1 + sqrt(9)))*6))**2.\nAnswer: 841\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 12) to base 15\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -11. Suppose -3*p + s*p = 15. Let n(f) = -3*f + 14. Let y be n(4). Solve -3*h = y*h - p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1682685 + 26960891\/16. Let i = k - 2365. Calculate the common denominator of (-2)\/4 - (-60)\/(-35) and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, f: 2}. Give prob of picking 2 f and 2 u.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b + 2*p + 2450 = 0, b + 5*p = 1237. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.5. Suppose 2*r = -2*q, 4*q = -5*r - 1 + 5. Let s = -155\/3 - -51. Which is the closest to q? (a) j (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99836 divided by 5\nAnswer: 99836\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -29 and 1.77668.\nAnswer: -27.22332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2)*x)\/(x\/(x*x**(4\/9))*x*x) assuming x is positive.\nAnswer: x**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 67. Calculate the lowest common multiple of a and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257429 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.0732, 1\/5, -0.059, -4\/7 in ascending order.\nAnswer: -4\/7, -0.0732, -0.059, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103 + 48 + -147 + 98.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(68) + 1 - sqrt(17) - 1*sqrt(17)*-4))**2.\nAnswer: 50*sqrt(17) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*v - 0*v - 14, 10 = 3*v - k. Suppose -n = -i + v, 9*n - 14*n + 30 = 3*i. Solve 2*t - 14 = 2*o, t - 4*o = i*t + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 7*t. Suppose -3*r = 2*w + r + 2, -3*w = -2*r - 13. Let a(v) = 4*v**2 - 22*v. Calculate w*a(o) + 10*u(o).\nAnswer: 2*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2392*k - 1204*k + 136532 = -971*k + 422657 for k.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1acab95 (base 13) to base 4\nAnswer: 201332122312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77.105 - 77. Let g = d + 5.295. Let b = g + -5.37. Round b to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 35*r**2. Let m(y) be the third derivative of y**4\/12 - 11*y**2. What is x(m(v))?\nAnswer: 140*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3387, -3381, -3359, -3315, -3243, -3137, -2991?\n\"Answer: o**3 + 2*o**2 - 7*o - 3383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/515, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2. Let j(a) = 48263*a. Give j(p(r)).\nAnswer: -96526*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1278139 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -184.07284459 rounded to 3 dps?\nAnswer: -184.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**2 + 66*o + 13. Let m be p(-13). Let 2\/5*g**2 + 4\/5*g + m = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-198)\/39)\/((-284)\/3692)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**4 - 3*x**2 - 3468*x**3 + 2*x**4 - 2 + 3462*x**3 + (0*x**3 + x**3 + x**3)*(2*x - 7*x + 3*x) - x**3 + x**3 - 3*x**4.\nAnswer: -9*x**4 - 6*x**3 - 3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 13132323?\nAnswer: 13132340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3439*p + 156. Let u be o(4). Calculate the highest common factor of 296 and u.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**8\/1344 - a**7\/840 + a**6\/240 + a**5\/120 - a**4\/96 - a**3\/24 - 6*a**2. Factor t(k).\nAnswer: -(k - 1)**2*(k + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/232166 and -63\/420046.\nAnswer: 72667958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -784 + 59. Let v be (-4)\/((-4)\/(-285))*-1. Let g = v + q. Round g to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -21\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {w: 8, b: 3, k: 6, o: 2}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42789 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 - 271 = 3*p + h, -3*p + 11 = 2*h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/3 - 72*v**4 + 130163*v**3\/3 - 3788754*v**2 + 10976864*v\/3 + 7491168 = 0. What is v?\nAnswer: -513, -1, 2, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 2356?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 4. Let w be n(3). Suppose 0*i = -i + 2. Let u be -12 - -15 - (1 - (0 - -1)). Solve -4*z + i*r = -w + 7, -u*z - 4*r = 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 30. Let u = 2 - 0. Let j = u - 4. What is the nearest to j in 4, y, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(1 - 3)*5. Let t = 877077\/2 - 438526. Solve 5*y**3 + i + 5\/2*y - t*y**2 = 0.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 354 = -453. Let p = -250 + g. Calculate the greatest common divisor of p and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 857*g + 2 - 4.\nAnswer: -857*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109399572 a multiple of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) 1.11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3248807\/67965 - 16\/13593. Suppose -11\/5*h - 6\/5 + x*h**4 + 84\/5*h**5 + 67\/5*h**2 + 227\/5*h**3 = 0. Calculate h.\nAnswer: -1, -2\/3, -3\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 2*f + 20. Let x be k(0). Suppose 4*w - 116 = -5*d, -4*w = d - 0*w - x. Calculate the greatest common factor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/(-4)*3\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 310 - 283. Solve 174 = -h*m + 39 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.39 - 0.39. Let d = u - -32. Let g = d + -47.6. Sort 5, g, 0.1, 2 in ascending order.\nAnswer: 0.1, g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 11307*a - 2977304\/3.\nAnswer: -(a + 88)*(a + 33833)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8 - ((-98780)\/(-11))\/(-5).\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8082 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 5 + 3 - 4)*(-3 - 4 + 5)*(5 - 2 - 1).\nAnswer: -4*o - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d**5 - 9*d**3 - 1320*d wrt d.\nAnswer: 140*d**3 - 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000431108 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v + 70. Let n(a) = 2*a - 23. What is -11*n(g) - 4*r(g)?\nAnswer: -2*g - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/10979 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 5*p + 3. Let v be r(5). Let l be 1\/3 + (-213)\/(-9). Suppose 4*h - 5*c + l - 97 = 0, 2*h - 9 = -v*c. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 7:04 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 29*w + 56. Let c be h(-2). Sort c, -1, -65, 5 in ascending order.\nAnswer: -65, c, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441 - 213 = -8*z + 212 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4067 and 1827.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-526)\/12 + (-2)\/12. Let k = -39 - f. What is the second derivative of 7*b - 14*b**k + 5*b - 2*b wrt b?\nAnswer: -280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3157*-0.2\nAnswer: 631.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - w + 84, l - 21 = -2*w - 6. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**5\/30 + m**4\/3 - m**3\/3 + 7. Let w(k) be the third derivative of d(k). What is the first derivative of w(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 2 - 2 - (-61 + 69)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138540.\nAnswer: 2, 3, 5, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20175432859\/1205 - 16743106. Let f = 2\/241 - n. Let g = 3118 - 31289\/10. Calculate the common denominator of f and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -109. Suppose m + 4*z + z = -v, -3*m = 4*z + 136. Calculate the remainder when -1 + (3 - ((m - 0) + -4)) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 - 7*w - 10. Let z(y) = -2*y**2 + 3*y + 5. Let o(x) = x**2 + 6*x. Let u be o(-5). Let h(l) = u*z(l) - 2*k(l). List the prime factors of h(6).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 672?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/14)\/((-380)\/1064)*(-1 + -4)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 5. Let n be f(-2). Suppose n*j - 8 = -2. Find l such that -6*l + 4\/3 - 8*l**5 - 2\/3*l**j - 2\/3*l**4 + 14*l**3 = 0.\nAnswer: -1, 1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.424 times 27\nAnswer: -470.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -3)\/(0 + -1). Suppose y*d - 4*t + 79000000 = 0, 0*t - 2*t + 63200000 = -4*d. What is d rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697464.\nAnswer: 2, 3, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.11 - 1.1100528. What is z rounded to 6 decimal places?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, -5, -0.3, -0.073, 1 in descending order.\nAnswer: 1, -0.073, -0.3, -5, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 5*x**2 + 2. Let o = -3 - -8. What is the units digit of b(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 6:48 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -3, -4*z + 9 = -45*o + 44*o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eees when four letters picked without replacement from {s: 15, e: 5}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 10*m**2 + 11*m + 4. Let c be k(-9). What is the tens digit of 3 - c*(-2 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/70 and -191\/6090.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 20. Let b be a(-7). Let n be (-2660)\/52 - (-3)\/(117\/b). Let c be -10*(n\/5 - 18\/(-6)). What is the greatest common factor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -291 and -184.\nAnswer: 53544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23664.\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 97.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.032 - 0.368. Let m be -1 + 24\/14 + -1. Which is the third smallest value? (a) -0.07 (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/5, -1.190603, 0 in descending order.\nAnswer: 3, 2\/5, 0, -1.190603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(-1\/46)*m)\/m)\/(m*m**(-15)))\/(m\/((m\/(m\/m**(-12)))\/m))**(-2\/9) assuming m is positive.\nAnswer: m**(7903\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 191.\nAnswer: 1.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 13.23188 millilitres?\nAnswer: 0.01323188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102851, -205712, -308595, -411512, -514475, -617496?\nAnswer: -720587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**4 + 15*s**3 + 27*s**2 + 21*s + 6 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/(-110)*17\/((-3672)\/32)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1677*f**3 - 3*f**2 + 2*f + 3. Let j(m) = -1676*m**3 + 4*m**2 - 3*m - 4. Give 3*j(g) + 4*p(g).\nAnswer: 1680*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = -2. Suppose -10*u = -25*u - 90. What is the tens digit of (-185)\/x*(-3)\/((-9)\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*l - 9 + 6 + 2 + (0*l - l + 2*l)*(2 - 1 + 0) + l - 1 + 1.\nAnswer: -15*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 - 7*p**3 - 84 + p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.42 - -17.4. Which is the closest to v? (a) 0.4 (b) 2 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + 3 + sqrt(1216) - 5*(0 + -2*sqrt(1216)))**2.\nAnswer: 147136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*m**3 + 3*m**3 + 2*m**3 + 0*m**3 - 18*m**2 in the form s*m**3 + i*m**2 + d*m + g and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62701*h**2*v + 2*h*v + 415*h - v + 5 wrt h.\nAnswer: 125402*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = 8. Let x be -5*(-3 + 56\/20). List the prime factors of 1*((24 - x) + b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1222, -1212, -1190, -1150, -1086?\n\"Answer: l**3 + 3*l - 1226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 2*q - 1. Let t(h) = -6*h**3 - 6*h - 8. Let c(b) = -t(b) + 5*u(b). What is c(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 22 - 10 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 11\/5 - 26289\/1905 - -2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -173*g**2 - 3*g - 3. Let z(s) = -2250*s**2 - 40*s - 40. What is 40*l(v) - 3*z(v)?\nAnswer: -170*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*m - 26 = 0, f = -2*f - 3*m + 168. What is the highest common divisor of 459 and f?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 5) to base 16\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012800326 rounded to seven decimal places?\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, q: 5, l: 7, z: 1, g: 1}. What is prob of picking 2 l and 1 i?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9739 + -7.23653\nAnswer: 9731.76347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -952.0168 + 951.7. What is k rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 577*a**3 + 104928 - 104928 + 186*a - 80*a**3 wrt a?\nAnswer: 2982*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a20 (base 13) to base 9\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830977.8 millimeters to nanometers.\nAnswer: 830977800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34 - 41 - (-10 + (-1 - -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -59. What is the nearest to 0.1 in 2.3, -2\/3, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 20*c - 369 = 0. Calculate the remainder when 78 is divided by c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n = -39*n - 12, -y + 4*n + 1771 = 0. List the prime factors of y.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.192 + 0.308. Let b = 4 - 7. Sort w, -0.3, b in descending order.\nAnswer: w, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60960, -60963, -60966, -60969?\nAnswer: -60972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 5*f + 7. Let t be l(6). What is the smallest common multiple of 16 and 1 - (t - 16) - 2?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/13 - 234777460*g\/13 - 234777458\/13.\nAnswer: -2*(g + 1)*(g + 117388729)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, a: 3, p: 1, z: 1, h: 5, k: 8}. What is prob of sequence hhkf?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**5 + 210*y**4 + 2375*y**3 + 2970*y**2 - 11200*y - 12000 = 0. What is y?\nAnswer: -20, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2050 - 56?\nAnswer: -2136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0027407837 to five decimal places.\nAnswer: -0.00274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f**3 - 30*f**2 + 28*f - 29. Let n(b) = 16*b**3 + 89*b**2 - 84*b + 86. Let g(d) = -11*i(d) - 4*n(d). Does 3 divide g(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -14, -13, 0, 4 in increasing order.\nAnswer: -14, -13, -1, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6}. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16700 and 56446.\nAnswer: 2822300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 474288\/27 + (1\/(-18))\/((-16)\/(-64))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/577168 and -83\/248.\nAnswer: 17892208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by 208\nAnswer: -155\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -246950*z**5 + 1667470*z**2 wrt z?\nAnswer: -14817000*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:04 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269798588, 539597178, 809395768?\nAnswer: 1079194358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*z + (-5 + 2 + 2)*(z - 2*z + 4*z))*(-6 - 1 + 8)*(1 - 1 + z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.2, -0.1, -2215, 4\/3.\nAnswer: -2215, -0.2, -0.1, 1\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 44100009*v + 44100012.\nAnswer: -3*(v - 1)*(v + 14700004)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 + 11*d + 14. Let q be ((-9)\/2)\/(0 - 2\/(-4)). Is 25 a factor of f(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 5*s**2 - 4*s - 2. Let h be q(-4). Let f be (h\/(-12))\/((-3)\/36). Let u be f\/4 + (-9)\/(-6). Calculate the greatest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4542109870 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**5\/60 - b**4\/3 + b**3\/2 - 18*b**2. Let w = -6 - -14. Let l be a(w). Solve l*c - 2*n - 16 = -6, -4*c = -2*n - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 5*d - 3*c, -3 - 1 = 4*c. Solve 4*w - 7 = -u, -d = -0*u + 5*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 6*m + 49. What is the smallest common multiple of o(14) and 18?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1. Let j(n) = -28*n - 14. Calculate 14*a(i) + j(i).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8030 and 73480121.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f + 13. Does 24 divide n(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332.9704mg to grams.\nAnswer: 0.3329704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -513.3 + 542. Let h = y + -28.69999871. Round h to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**2 - 26085*b - 91654.\nAnswer: 6*b - 26085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 0*f**2 - 9517*f**3 + 19677*f**3 - 9790*f**3.\nAnswer: 370*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (18\/90)\/((-8)\/(-5))*1\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 99 + 15. Calculate the remainder when c is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from aazzzz?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -196 * -101678.4\nAnswer: 19928966.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -273 - -503. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3706*h**4 - 1290602*h.\nAnswer: -44472*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 156.64 + -156.84. Let x = -8 + 11. Sort -2\/13, x, o, -3 in descending order.\nAnswer: x, -2\/13, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) -0.3 (c) 0.2 (d) 6.6 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -9. Calculate the highest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167321 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**7*g*(g**10*g)\/g assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l*(l\/((l\/(l\/(l*(l*l**(-5)*l*l)\/l)*l))\/l*l))\/l*l*l)))\/(l*l**(9\/5)*l))\/(l**(-9)\/l**(-3\/10)) assuming l is positive.\nAnswer: l**(99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 11*q**2 - 23*q. Is r(13) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 3*o**2 - 3*o**2 - o - o**3.\nAnswer: -o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1413, 1410, 1407, 1404, 1401, 1398?\n\"Answer: -3*n + 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 783 and 1099680.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 6435 + 6412 = -5*x, 4*x = 4*i - 52 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -17*b + 9*b. Differentiate -47 - 102*z**4 + 103*z**b + 16*z - 5 with respect to z.\nAnswer: 4*z**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 8.5. Let t = w - -1.46. Let s = -0.16 + t. Which is the nearest to 0? (a) s (b) 0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/168902 and -99\/4276?\nAnswer: 337804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + 4 + 2)*4 + 5)**2.\nAnswer: 2320*sqrt(17) + 28041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.78 + 0.99. Let u = 0.23 + a. Let w = u - 12. Sort -4, -5, w in decreasing order.\nAnswer: w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - p + p)*(2 + 2 - 2) + (-205*p + 26 - 26)*(1 + 15 - 2) in the form m + l*p and give l.\nAnswer: -2868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/171? (a) -0.2 (b) 2 (c) -2\/107 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 780\/(8 + -2) + -4. Suppose 0 = -6*j + 15*j - i. Solve -y + 3*o - 13 = 0, -3*y = -6*y + 4*o - j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54623 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-4)*(-46116)\/(-2646)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 4*x**2 + 5*x + 2. Let f be z(5). Let j(k) = 451*k**2 + f + 7*k - 450*k**2 - 2. Determine j(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v + 6*v + 2 + 0 - 5*v**3 to k*v**2 + f*v**3 + p*v + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151546230 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**2 + 5*u + 4. Let t be a(-2). Suppose -t*m + 22*m = -12. What is the tens digit of -78*m\/(12\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4123, -8257, -12391, -16525?\nAnswer: -20659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 270, -1.9, 3\/2 in decreasing order.\nAnswer: 270, 3\/2, 0.3, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -132, -129, -126, -123, -120?\n\"Answer: 3*j - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(3*3*sqrt(2)) + -3 + 0 + sqrt(17) + sqrt(17) + (sqrt(136)*-2)\/sqrt(8).\nAnswer: -3 + sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12510368 a multiple of 773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, s: 11}. What is prob of sequence bsb?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 + -57. Let j = 35.8 - w. Let z = -0.6 - -0.5. Which is the nearest to 6? (a) j (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77531.3l in millilitres?\nAnswer: 77531300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 2*k - 25. Suppose 0 = -4*r + r + k. Is 9 a factor of 546\/r - (-6)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-120))\/((-2)\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(171) + sqrt(171)) + 2 + (2*2*sqrt(171) + sqrt(171) + sqrt(171) - (sqrt(171) - (sqrt(171) + 0)*2)) + 2)**2.\nAnswer: 60*sqrt(19) + 4279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 363460627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2541)\/(-363)*4\/294)\/(18\/(-2187)*-9)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**2 + 0*d**2 + 0*d**2)*(450*d - 1093*d - 208*d)*(-d - d + 4*d) in the form t*d**2 + v*d**3 + m*d**4 + l*d + a and give m.\nAnswer: -5106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309736 = -41*z - 72100. Does 46 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154010947 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2013 and 7799?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 48*l**3 - 47*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22392?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54596.479 and -1.2?\nAnswer: 65515.7748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.9 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -371934544 divided by 2?\nAnswer: -185967272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000131637 to seven dps.\nAnswer: -0.0001316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61226485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/117593072 and -53\/2125176.\nAnswer: 352779216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1339*z**2 + 1666*z**2 - 1059*z**2 + 3453*z**2 + 4034*z**2 + 8696 wrt z?\nAnswer: 13510*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 161 and 5334?\nAnswer: 122682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y - 18*y + 5*j - 55 = 0, -8*j + 105 = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187 by 474.\nAnswer: 187\/474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, t: 3}. What is prob of sequence ete?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*c + 144 = 17*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256523611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.025692 - -556.644308. Let z = -556 + w. Which is the third biggest value? (a) -2 (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161362080 and 70595910.\nAnswer: 1129534560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 1, z: 5, o: 1, x: 3, d: 1}. Give prob of picking 2 x and 1 z.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -753.26*0.16\nAnswer: -120.5216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t**5\/7 + 10*t**4\/7 - 6*t**3\/7 - 10*t**2\/7 - 2*t\/7 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from qqqmqgqoq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - m + 1. Let h(q) = 5*q**2 + 7*q - 7. What is 5*h(y) + 35*n(y)?\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335856 is divided by 379?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v\/(v**(-1\/4)\/v)))\/(v*v**(2\/5)))**(-41))**(-21\/4) assuming v is positive.\nAnswer: v**(-62853\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4188, -5748, -8354, -12012, -16728?\nAnswer: -22508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -471, -1212, -1957, -2706, -3459, -4216?\nAnswer: -4977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 4:46 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + -291\/5. Suppose -4*z = 4*s + 12 - 40, 2*s - 2 = 4*z. Suppose 2 = 3*y - 2*v - z, -4*y - v = 2. Which is the nearest to y? (a) d (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*f**5 + 295*f**3 + 538*f - 29 wrt f?\nAnswer: 340*f**3 + 1770*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*c**3 + 120*c**2 - 104 - 262*c + 3*c**2 - 433*c**2 + 97*c**2 - c**4.\nAnswer: -(c + 1)**2*(c + 2)*(c + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 13*p. Suppose s - 5*d = -17, s + 3*d + 13 = 6*d. Let v be f(s). Solve -4*k + v = -5*k + 2*i, 16 = -4*k + 2*i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.01.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 0.4 (c) 3 (d) -4\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + 6*g**2 - 38*g. Let o(x) = -2*x**3 - 5*x**2 + 39*x. What is 7*o(b) + 6*z(b)?\nAnswer: -2*b**3 + b**2 + 45*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/15 - 26026*i\/5 + 15616\/3.\nAnswer: -2*(i - 1)*(i + 39040)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - r**2 - 4*r - 4. Let v = -66 - -69. Let s be c(v). Solve 2*k - 21 = -0*q - 3*q, s*k - q - 1 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10130172 - -50?\nAnswer: 10130242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 4:32 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 77418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2431 is divided by 242?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -5.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -244, -404, -564?\n\"Answer: -160*a - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19018 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-6))\/(1662\/(-7479)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 9*x + 27 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(110)\/sqrt(160) + -2*sqrt(704)*6.\nAnswer: -195*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 - 7*p + 9. What is s(5)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 3087*d**4\/32 + 49*d**3\/4 - 35*d**2\/4 + d - 131. Factor m(c).\nAnswer: (7*c + 2)*(21*c - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89*i**4 - 11169*i + 1633839.\nAnswer: -356*i**3 - 11169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/11, -0.6, 124, -4, 1, -3\/58?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 75*a - 79*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 + 1.13. Let m = j - 8.83. Let p = 31.9 - 31.6. What is the nearest to m in p, 2, 3\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33.63 or 12090.4?\nAnswer: 12090.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -4. Let i(t) = -5*t + 2*t + 0*t. Is i(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28, -26, -14, 14, 64, 142, 254, 406?\n\"Answer: v**3 - v**2 - 2*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4974 or -4975?\nAnswer: -4975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by 4\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693*b = -550*b - 429 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/22004 and 39\/117068?\nAnswer: 643991068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -56\/555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61226, 61225, 61224, 61223, 61222?\nAnswer: 61221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 3*u**2 + u + 5. What is the smallest common multiple of h(3) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 4*o**2 + 1\/6*o**3 + 0 + 12*o. Differentiate q(j) with respect to j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 629*x**3 - x**2. What are the prime factors of p(1)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 2*o - 16. Let x be (150\/(-8))\/(3 + 26\/(-8)). Calculate the greatest common divisor of o and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -186.\nAnswer: -55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 13*z + 3. Suppose -5*a = -3*r + 24, 4*r - z*a = -a + 18. Sort r, -11, -3 in descending order.\nAnswer: r, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x\/(x\/x**(-2)))*x)**(2\/103)*(x**3)**(-2\/29) assuming x is positive.\nAnswer: x**(-270\/2987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20101 + 10?\nAnswer: -20041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 547 - -734. Suppose 5*m + 4*l = q, -4*l = 3 - 19. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 44605566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19, 1, -31, -83, -161, -271, -419?\n\"Answer: -b**3 - b**2 - 8*b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11 - 24 + 15 - 2*l. Let f(p) = p**2 + p - 1. Let g(x) = -x**2 + 4*x + 4. Let r be g(5). Let u be -4*1\/(-6)*-3. Determine r*q(s) + u*f(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*g + 48, -5*g = -4*z - g + 112. Suppose 1 + 9 = 5*c. Suppose -c*b + 5*b - 12 = 0. What is the highest common factor of b and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 156879389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -344 + 359. Calculate the greatest common factor of 285 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 98054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dejj when four letters picked without replacement from {j: 2, e: 9, x: 1, d: 4}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52879 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**6\/360 + 11*k**5\/120 - k**4\/2 + 7*k**3\/3 - 3*k**2\/2 - 9. Let u(l) be the third derivative of o(l). Determine u(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5529 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1\/30, 9, 0.2 in descending order.\nAnswer: 9, 0.2, -1\/30, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 6, 133, -6, -13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/4264062 and 43\/736?\nAnswer: 68224992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2\/125 of a kilometer?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/h**(-8)))\/h**(-2\/37))\/(h*h\/h**10*h*h**(13\/3)) assuming h is positive.\nAnswer: h**(-475\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 9. Suppose 5 = k*o - 3. Suppose 4*g + 3*h = 17, 20 = 4*g + 2*h + 2*h. Solve -5*m = -j + 20 + 2, -g*m - o*j - 22 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 5*t + 3*t)*(2*t - 2*t + 2*t) + 0*t**2 + 0*t**2 - 2*t**2 + 4*t**2 - 5*t**2 + 3*t**2 + (4*t + 0*t - 3*t)*(3 - 3 - 1)*(-83*t - 30*t + 7*t).\nAnswer: 104*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 2*l**2 - 8*l**2 + 9*l**2 - 5*l**2. Let z(t) = 324*t**2 + 3. Give q(z(k)).\nAnswer: -734832*k**4 - 13608*k**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 13*c**2 - c + 41. Give j(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g + 3 - 5 - 3 + g**2. Let w be o(5). Solve 5*s + 17 = i, 5*s - 2*i = -w*i - 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -4*y. Suppose 5*t - y = 4*t, 4*o = 3*t. Suppose 13 + 16 = o*k - s, 4*s = 4*k - 52. What is the remainder when 23 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461, -450, -425, -380, -309, -206, -65?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + 53 + (-39)\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 18\/21931?\nAnswer: 18\/21931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -208697 at least -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*j + 13. Solve 2*n + 8 = j*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1174, 4 in descending order.\nAnswer: 1174, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*c - 62*c - 740 = 0. Solve -61 + c = 6*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 2:59 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 6. Let x = -15434 - -15445. What is the remainder when v is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7660 (base 15) in base 4?\nAnswer: -12013221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**3*p**2 - n**3*p - 10*n**2*p + 108*n*p**5 - 10*p wrt p.\nAnswer: 4*n**3 + 2160*n*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4420232.\nAnswer: 2, 23, 24023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177846 (base 10) to base 9.\nAnswer: -300856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7bb (base 15) to base 6\nAnswer: 12035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734663*a - 1469304*a + 734641*a - 38*a**3.\nAnswer: -38*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36, -86, -168, -282?\n\"Answer: -16*q**2 - 2*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -146, -334, -598?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1459639469*o**2*x**2 + 770534*o*x**2 + 11*o + 12*x**2 wrt o?\nAnswer: -2919278938*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**2*r**3*w**3 + 32140*q**2*r**2 + 55*q*w**2 + 7*r**3 - 36*r**2*w**3 wrt q.\nAnswer: -4*r**3*w**3 + 64280*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 1332*k**3 + 1300036*k**2 - 5076432*k - 580096 = 0.\nAnswer: -36256\/37, -1\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 4:33 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -3*s - a, -25 - 44 = 3*s + 5*a - 5 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -9*q + 13. Suppose 18 = 5*a + 53. Let y(x) = -x - 3. Let h be y(a). Put q, h, 3 in ascending order.\nAnswer: q, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*p - 3*v, p - 26 = v + 3*v. Suppose 2*s - 4*o + 12 = 0, -2*s + 3*o = o + 6. Let j = -2 - s. Sort j, 3, 1, p.\nAnswer: j, 1, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418\/(-19)*(-30)\/20*1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.6. Suppose 10 = 4*r - 2. Let z = 21.7 + -22.7. Which is the third smallest value? (a) o (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - g**2 - 2*g. Let j be o(0). Let r be (j - (-15)\/6)*20\/25. Suppose -170 = -5*y + y - w, r = w. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23663487489.5 + -0.101\nAnswer: 23663487489.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {a: 1, v: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15716.\nAnswer: 2, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 145? (a) -30 (b) -0.4 (c) 610 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f = 28*f - 522. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37, 84, 127, 166, 201, 232?\n\"Answer: -2*o**2 + 53*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 3*y**4\/2 + 5*y**3 - 33*y**2\/2 + 12*y + 7. Find v, given that g(v) = 0.\nAnswer: -4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 363*o - 3*o**5 - 115*o**4 + 625*o**2 - 71*o**4 - 360*o**3 + 180 - 619*o**2.\nAnswer: -3*(o - 1)*(o + 1)**3*(o + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvcvvvvcvvc. Give prob of sequence vcc.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7180 = -1143*u + 1502*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 22*m + 122 = 0. List the prime factors of m.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175 (base 8) to base 10\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -809*g + 10. Let a be 2\/5 - 42\/5. Let z be r(a). Let w = z + -129671\/20. Calculate the common denominator of w and -47\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-21) - 19*4\/(-28). Suppose 2*n + s*n = -3*o + 20, -n + 4 = 2*o. Let g be 2\/n*2 + 4. Solve -g = -2*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 98523*m**2 + 4525269*m + 14462595.\nAnswer: 3*(m - 32795)*(m - 49)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(3 + 4 + 0 + (-3 + 1 + 0)*(-2 + 0 + 3) - 2 + 4 - 1)*(2*p - 7*p + 4*p)*(10 - 9 + 2).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 120.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from sssnnnkksnnssnk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -289729, -289756, -289783, -289810?\n\"Answer: -27*u - 289702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pccpecc. What is prob of picking 2 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 2, p: 4}. What is prob of picking 2 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*q**6*r**3 - 3*q**3*r**3 - q**2*r**3 - 60*q**2*r wrt q.\nAnswer: 7680*q**3*r**3 - 18*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/3 + 23*r**2\/6 + 62*r\/3 = 0. Calculate r.\nAnswer: -4, 0, 31\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.6, -3, -4\/5, 10.6, -2\/7, -1?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2896501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1504*g**2. Let c(f) = 458*f. Calculate c(r(a)).\nAnswer: 688832*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from dnedzideiddndn?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - 4*a + 5*a)*(-a + 1 - 1) + (a - a + a)*(5 - 5 + 13*a) to z + j*a**2 + o*a and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*u + 110, -3*h - 148 - 32 = -3*u. Let c = 41 + h. Let l = 132 + c. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 3. Let n be t(-2). Let w = n - -4. Solve -4*f + r = -0*r + w, 4*f - 20 = -4*r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -19. Let y be (4\/12)\/(2\/9 - t). Put y, 2\/15, -2 in increasing order.\nAnswer: -2, y, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-17) - (3 + 265\/(-85)). Let l be ((-2)\/18)\/(2\/(-4)). What is the nearest to l in g, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -143422 at least as big as -143425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 13*a**2 - 4*a**2 + a - 6*a**2 + 3. What are the prime factors of t(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.25 - -0.469. Round t to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 122382 and 225.\nAnswer: 3059550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**5\/90 - 31*t**4\/18 - 961*t**3\/9 - 29791*t**2\/9 - 85*t. Determine w so that j(w) = 0.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*n - 7 = 0, -41 = 3*q - 5*n + 4*n. Is -13 != q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2675 - 5)*1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43364 and -13.\nAnswer: -43377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3508 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -513 times -118310\nAnswer: 60693030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -4. Let g be 0\/3 - 4\/(-3). Let o = -0.4 - 4.6. Sort g, u, o in decreasing order.\nAnswer: g, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/((-1 + 2)\/(-1)). Suppose o + 34 = 12. Let j = m - o. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4))**(16\/7)\/(g**(-1))**(-2\/71))**(-10) assuming g is positive.\nAnswer: g**(-2700\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + d**2 - 4*d**2 + (d - d + d)*(-4421*d + 6898*d - 3637*d).\nAnswer: -1162*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10*a**2 - a - 2. Let g be b(-4). Let c = 98 - g. Let x = -22 - c. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {z: 1, h: 1, i: 1, e: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/33 + -53\/132. Which is the third biggest value? (a) -2\/63 (b) q (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. List the prime factors of 3 + a - (-6)\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -175, -135, -97, -61, -27?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001011010 (base 2) to base 13.\nAnswer: c86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*v**6 - 7*v**5 + 2*v**3 - 16*v**2 - 12*v + 14.\nAnswer: 3480*v**3 - 420*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-22)\/121 - 6140\/(-11).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppd when three letters picked without replacement from pndn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 461460?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 15. Let a be c(-7). Let t(h) = 2 - h**2 + 0*h**2 + a*h + 0 - 3*h. Determine t(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:48 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141 + -133. Let y(i) = -29 - 27*i + 2 - v. What are the prime factors of y(-11)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 0. Let t be -3 + (1 - -5) - 2. Suppose m - s = 0, -h*s - t - 3 = -3*m. What is the nearest to 1\/2 in 0, m, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64668 and 697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 329, 374, 477, 650, 905, 1254, 1709?\n\"Answer: 2*d**3 + 17*d**2 - 20*d + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**2 + 9*x**2 + 501*x + 212*x - 713*x. Let v(j) = 215*j**2 - 2. What is f(v(s))?\nAnswer: 832050*s**4 - 15480*s**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110111001 (base 2) in base 5?\nAnswer: 112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1803.155849 to 2 dps.\nAnswer: -1803.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/(sqrt(6)*-3)*2)\/(sqrt(22)\/(sqrt(8)\/sqrt(4)) + sqrt(11) - (sqrt(891) + sqrt(891)*-2))*1)**2.\nAnswer: 20\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 2:28 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/8 and -23\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 8. Suppose n = 5*n + 2*f - 28, -4*n = 3*f - 26. Let x be c(n). Suppose x = -4*k - k + 25. Solve -2*p - 2*p = 5*y - 9, -k*p - 15 = y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 958005455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/16 - 332\/16. Let v = b + 16. Let d be v\/16 - (-7203)\/12. What is d rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22122221 + -2200000?\nAnswer: -102022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 205 = 23*c. Let h(m) be the second derivative of -m**4\/12 + 7*m**3\/6 - 3*m**2\/2 - m. Calculate h(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**3 - 9*l**2 - 10*l + 8. Let t(a) = 9*a**3 + 17*a**2 + 20*a - 17. Let z(y) = 7*f(y) + 3*t(y). Give z(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 45, 119, 249, 453, 749, 1155?\nAnswer: 1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + u**3 + 0*u**3)*(-42*u**2 + 18*u**2 + 20*u**2 - 451*u - 3*u**2).\nAnswer: -21*u**5 - 1353*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j + 3*s - 65, -25 = 5*s. Let i(l) = -l - 5. Let t be i(-7). Suppose 3*h - 4*d = 31, 0 = 6*h - t*h - 5*d - j. Solve -h = -4*u + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -14, -6, 8?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**3\/6 + 3*q**2 - 2*q + 4236. Let w(o) = -2*o + 5. Determine -3*w(h) + 4*y(h).\nAnswer: 2*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.445 + 7.345. Sort y, 31, 6, 0.2 in increasing order.\nAnswer: y, 0.2, 6, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1807\/1368 + 17\/1368. Let g(v) be the first derivative of 0*v**2 + 0*v**4 - t*v**3 + 20 - 4\/5*v**5 + 0*v. What is the third derivative of g(w) wrt w?\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/3)\/((-2)\/4). Let b be 2\/m + 100\/(-35). Let k = 9\/2 + b. Calculate the common denominator of 61\/2 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23, -5, 17, 37, 49?\n\"Answer: -m**3 + 8*m**2 + m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**3 - 13*u**2 + 5*u + 4. Let q(r) = -r**3 - 3*r**2 + r + 1. Suppose -4*t + 3 = -t. Suppose -t = v - 3. Let i(z) = v*o(z) - 9*q(z). Factor i(w).\nAnswer: -(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -14 + 0*w**2 - 8*w - 2*w**2 - 5*w**2 + w**3 - 2*w**2. Let s be t(10). Suppose -4*z + 100 = z. Solve -s*v + v = z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16339 + -10174278.98\nAnswer: -10190617.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*b + 4*b - 5*x, 4*b = 3*x + 92. Solve 0 = 5*a - a + b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.3, -0.4, 74, 3\/4, -3?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -331.1 - -331.4. Which is the closest to -2? (a) 0.1 (b) 10 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -41*t**2. Let l(m) = 62*m**2. Let u(r) = 5*l(r) + 8*v(r). Let d(o) = 21*o + 1. Let j(w) = -581*w - 28. Let p(y) = -28*d(y) - j(y). Calculate p(u(x)).\nAnswer: 126*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362621?\nAnswer: 7, 51803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 11:17 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1375 - 1639.8. Let l = -265 - m. Which is the closest to -0.3? (a) l (b) -7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 601485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 299 + -329. Let d = a + 74. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -25, -105 in decreasing order.\nAnswer: 4, -3, -25, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*q + 190*q = -40. Determine h so that 6\/7 - 2*h - 2\/7*h**3 + 10\/7*h**q = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457 is divided by 206?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 810596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 144*w**2 + 44*w + 120. List the prime factors of r(-4).\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p + 2 = 0. Let l(c) = -194*c**3 - 7*c**2 - 13*c - 14. Let v be l(-4). What is the first derivative of 12342*u**2 + 16*u**4 - 25 - v*u**p wrt u?\nAnswer: 64*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/7638 and 53\/30?\nAnswer: 38190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) - (sqrt(2299) - (1 + sqrt(2299)))*3.\nAnswer: 3 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = m + r - 3*r, 5*m = -r + 226. Let u be 10\/m - (-6)\/(-27). Solve 8 = 2*p - 4*z, u = 4*p + 4*z + 12 + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*g**3*w**2 + 5*g**3*w - 409*g*w**2 + 3*g*w wrt g?\nAnswer: 36*g*w**2 + 30*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 2*a - 4*a + 2*a**2 + 1. Let m(u) = u**2 - 2*u - 1. Let i be m(3). Let h be (i\/(-4))\/((-3)\/6). Calculate x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**6\/300 + 23*a**5\/50 + 7*a**4\/6 - 198*a**2. Suppose c(o) = 0. What is o?\nAnswer: -1, 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2044)\/(-120)*537\/(-4)*-2. Let r = g + -4571. Calculate the common denominator of r and 79\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14537\/115 + 14\/23. Let s = f + 126. Which is the nearest to 0? (a) 2\/15 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2057)*-1 + (sqrt(2057) + 0 + sqrt(2057))*6 + sqrt(2057))**2 + ((sqrt(425) + -2)**2 - (sqrt(68) + 3)).\nAnswer: 770*sqrt(17) + 296643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcw when three letters picked without replacement from {w: 2, c: 2, m: 9, k: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.6783 rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.46 + -0.56. Which is the closest to p? (a) -2 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, a: 2, p: 1}. What is prob of sequence ipa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 6 = n - 22, -202*h + 204*h + 4*n = 60 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + 4*b + 1269. Let f(p) = 5*p**3 + 11*p + 3807. Determine -3*f(w) + 8*t(w).\nAnswer: w**3 - w - 1269","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/6, -3, 0.46, 2\/7 in ascending order.\nAnswer: -3, 1\/6, 2\/7, 0.46, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -663786 by 221262.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmom. Give prob of sequence zm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*j = 160*j + 8090. What are the prime factors of j?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -5)\/((-2)\/6). Let i be (14\/b)\/(1\/(-3)). What is the lowest common multiple of 3 and (-4)\/i - 195\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-14) + (-10)\/(-35). Suppose -s - 1 = 3. Let n = 0.5 - 1.5. What is the closest to z in n, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2200\/33)\/50*(15\/26)\/(-5).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 6:38 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -110000100 (base 2) to base 4\nAnswer: -12010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -226.78 times 4\nAnswer: -907.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -347 and 0.892.\nAnswer: -346.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15567405 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -150 + 71 + (-8 - (7 - 5))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -3*r + 48. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q + 14*q - 18949 + 62163 - 2*q**2.\nAnswer: -2*q**2 + 43214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**3\/2 - 10*m. Let k(c) = 3*c**2. What is g(k(f))?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = 3*n - 217. Calculate the greatest common factor of 51 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyyqhhyqyyqhy. What is prob of picking 1 q and 1 h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4335 = -1282*x + 8902 + 5689 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 7*j**2 - 9*j - 26. Let k be r(-3). Let v(w) = -w**3 - 9*w**2 - 3*w + 9. Calculate v(k).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j = -20*j - 19*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 21*g - 8 = 0. Put g, -1\/31, 5 in decreasing order.\nAnswer: 5, -1\/31, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 * -0.117\nAnswer: -3.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2712 - -5903. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwsxpyp. What is prob of sequence syx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4065 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1225\/9 + -4873\/36. Factor v*t**2 - 15\/2*t - 33\/4.\nAnswer: 3*(t - 11)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/(-36))*(-10)\/(-20)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/12*5)\/(10\/(-30)). Let b be (-46 - -37)\/((-6)\/f). Solve 3*d - b = -0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 299635492 a multiple of 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {w: 4, a: 2, h: 2, p: 1, v: 2, m: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7077854.47 rounded to the nearest one hundred?\nAnswer: -7077900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1724, 6, 14, -11 in decreasing order.\nAnswer: 1724, 14, 6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 14716759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*f - 5, 3*f + 2*f - 40 = 3*y. Let q(i) = -i - 2. Let o be q(y). Solve -3*t + o = 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 + -5 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 9*z - 4*u + u, 2*z - 71 + 34 = 5*u for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105894346.\nAnswer: 2, 23, 2302051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 - j**2 - j**2 + (4 - 3 - 5)*(j - 3*j + j)*(5*j + 10*j - 23*j).\nAnswer: -34*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-7)*-2)\/(3\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/2*(7 + -5). Suppose -y*s + s = -16. Find the third derivative of -6*x**s - x**2 + 12*x - 12*x wrt x.\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (22 - -5) + -7 + -10 + 15?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.33 in -1\/4, -10, 0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*f + 573, 2*f - 121 = -m + 148. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/(5\/20). Let d(t) = t**2 + 0 + w - 1. Let h be d(-2). Solve 4 = 4*s - h*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x**3 + 8. Let f be (8\/3)\/(1 + (-28)\/21). Let t(j) = -j + j**3 + j + 1. Determine f*t(p) + v(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2360791, 9443333, 21247569, 37773499, 59021123, 84990441?\nAnswer: 115681453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17404*u + 17408*u + n - 3 = 0, 2*u + 3*n + 11 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aalxxabaaxxallaaxa. What is prob of sequence lla?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + -35. Let l = -42.76 - t. Let u = l - 0.24. What is the nearest to 0 in u, 3\/5, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116688 and 2145.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 761 = 1010. Is g less than -162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 8.8. Let j = 207 + -204.36. Let a = w + j. Are 1 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 4. Let i(q) = 1. Let n(v) = 14*i(v) - 4*x(v). Let j(p) = 12*p - 6. Let o(g) = -g**3 - 4*g**2 + 8. Let h be o(-4). Determine h*n(t) - 3*j(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + -5 + 9 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142 - -234. What is the common denominator of ((3 - 18) + 5)\/(w\/7) and 4\/(-8) - 4\/(-6)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 4:00 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + -75. Suppose -v = -r + 45. What is the common denominator of (-384)\/r - (-2)\/1 and 36\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08901001 to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 9*l**2 + 9 - 35 - 10*l + 41. Determine d(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 482 or 481?\nAnswer: 481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - ((11 - 11) + -10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 193?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 10*z = 4*z. Suppose z = 84*b - 88*b + 56. What is the greatest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -3*v - s, -5*v - 4*s - 5 = 0. Suppose 3*m - 4*h = 666, -v*h = m - h - 212. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/48 and -93\/2320.\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -791a6 (base 11) in base 4?\nAnswer: -130000033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -371042210 by -3786145.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 - 4*w**2 - 16*w - 6. Determine n(-4).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88 + -2 + 0 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/213 and -38\/219.\nAnswer: 15549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2*k - 11 + 2)*(-2*k**2 + 2*k**2 + 2*k**2)*(5*k + 2*k - 4*k)*(2 + 26 + 4) as a*k**3 + f*k + i*k**4 + j*k**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -17\/4, -1.44, 0, -12, 3, -2\/27 in decreasing order.\nAnswer: 3, 0, -2\/27, -1.44, -17\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 0)*(-16 + 14 + 76)*(2*l - 1 + 1) to u + z*l and give z.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + 111 + (3 - 40) + (-16 - -49)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024390079.\nAnswer: 1024390079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.1, -3, -21, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b + 0?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/4 + -2)*176\/231.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 5:00 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:16 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10)\/g**10)\/((g\/(g*g**(-11)*g))\/g)**(-2\/3) assuming g is positive.\nAnswer: g**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8*(-6)\/(-72))\/((-7)\/(-1134)). Suppose -b = -4*v - 3*b + 6, -3 = -3*v - 3*b. Suppose v*w - u = -w. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*l - 3*g, -2*l - g - 4 = -4*g. Let j(n) = -n**2 - 7*n - 7. Let z be j(l). Let k(m) = -m + 2 + z - 4. Calculate k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 884, 885, 886?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4364 is divided by 679?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -35136, -35114, -35064, -34974, -34832, -34626, -34344?\n\"Answer: 2*y**3 + 2*y**2 + 2*y - 35142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1933 - -1930. What is the second smallest value in 28, 0.03, 0.3, n?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 8)\/((-4)\/(-6)*3). Let p(d) be the third derivative of 1\/8*d**4 - 1\/30*d**5 + r + 0*d**3 - 4*d**2 + 0*d. Find the second derivative of p(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbi when three letters picked without replacement from bsqyisqdb?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 10. Let o be b(-10). Suppose -3*y - c = -o*y - 5, 8 = 2*y + 3*c. What is the highest common divisor of 9 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2240 is divided by 2230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-30))\/((-2)\/3)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 1\/31605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6174333458 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -3. Let l(z) = z**2 - 4. Let s(k) = k + 16. What is the remainder when l(o) is divided by s(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -227*v**3 + 5*v**2 - 108*v - 114. Determine n(-1).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*x + 0 - 3 + 1 - 40*x.\nAnswer: -145*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.45 - -0.05. Let z = 0.5 + h. Let k = z + -0.099989. What is k rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*g - 8. Suppose -6 = g*z - 21. Suppose y + 10 = 2*q + 32, 4*y = -z*q - 22. Which is smaller: q or -9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 8*z + 5. Let l be p(-8). Suppose 3*r - 10 = -r + l*o, 0 = r + 4*o + 8. Suppose -y - 4*y = r. Solve 4*v + y*n - 12 = 5*n, -5*n = 2*v - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Suppose b = 4*a - 5*a. List the prime factors of 41\/((3 + a)\/1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(-21)\/(504\/(-16)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/9*d + 0 + 2\/3*d**2 = 0. What is d?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3482220 and 3?\nAnswer: 3482220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -14. Let s = 18 + i. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 8*o**2 + 8*o + 5. Let v be z(-7). Let f be (-1)\/((-287)\/143 - v). What is the highest common factor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Let w = q - 3. Suppose 4*f = 8, 0*u + u + 5*f - 12 = w. Put u, -5, -4 in increasing order.\nAnswer: -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m + 10. Let t be y(-2). What are the prime factors of 1 + (-2 + 61 - 8\/t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 104 = 5*d, 0 = 3*d - 4*o + 321 - 249 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.25 + 5. Let y = f - -1.009. Let g = -0.059 + y. Which is the third smallest value? (a) -2 (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-23)*v*v**(-38))\/((v**(-26)\/v)\/(v**(-3\/7)*v)) assuming v is positive.\nAnswer: v**(-227\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605875954 to the power of 1\/3, to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -5*c + 3*l, -3*c - 31 - 32 = -3*l. Find the common denominator of 698\/3164 - c\/(-42) and -1\/10.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 133.24326 to zero decimal places.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6158 - 3.\nAnswer: -6161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 0 + 0 + g**2 + 0*g**2 - 2*g**2 + 0 + 0 + g**2 + (-g**2 - 2*g**2 + 2*g**2)*(-3 + 1 + 0).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u**2 + 2*u - 9. Let g(o) be the first derivative of -5*o**3\/3 - o**2\/2 + 5*o - 21. Calculate -6*f(j) - 11*g(j).\nAnswer: j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 43*b**2 + 84*b + 476. Calculate n(41).\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 43 = u, u - 2*z + 81 = 26. Let i = -191\/3 - u. Sort -2\/29, i, 0.3 in descending order.\nAnswer: 0.3, -2\/29, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 127, 130, 135, 142, 151?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -421 - -422. Let x = 31 + -34.8. Let u = -4.1 - x. Which is the smallest value? (a) 0.3 (b) 0.2 (c) u (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -23*f + 413. Determine o(-12).\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*q + 14 + 16 - 30 as p + o*q and give o.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 2*w - 3*w)*(-18361 + 35767 + 32977) as l + q*w and give q.\nAnswer: -50383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 892 = 8*t - 4*t - 4*m, 5*m = 20. What are the prime factors of (t\/(-2))\/(17\/(-34))?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -9547039?\nAnswer: 9547040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (63*o + 77*o - 83*o + 77*o)*(-1 - 1 + 0) in the form y*o + z and give y.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6*q*((q*q\/q**(-5\/6)*q)\/q)\/q*q)**(-10\/7))**(-23\/3) assuming q is positive.\nAnswer: q**(6785\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114496 + -114492. Let x(p) = -28*p**3 + 11*p**2. Let v(u) = -2*u - 1. Let f be v(5). Let a(h) = -9*h**3 + 4*h**2. What is f*a(w) + g*x(w)?\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.047 rounded to the nearest integer?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 47*j + 244. Let q be u(-5). Suppose -5*x + 10 = 0, 0*a - 12 = 4*a - 4*x. Put a, -5, q in descending order.\nAnswer: q, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -2*j**4\/3 - 4*j**3\/3 + 5*j**2\/2 - 1846*j. What is r(-3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y - 3*l - 12 = 0, -y + 4*l + 16 = 0. Suppose y = -3*k - 15 + 6. What is the tens digit of 4\/(-18) + ((-1495)\/(-45) - k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182354539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*f**3*q*v**2 + f**3*q + 421*f**3*v + 19*f*v**2 - 3*q*v wrt v.\nAnswer: -16*f**3*q + 38*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 22*s**2 + 11*s - 15. Suppose 0 = -2*t - 12 + 2. Does 48 divide i(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/105)\/(12\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -1. Let z = h + -7. Let n be (112\/16)\/(-14)*(-4)\/(-5). Which is the closest to n? (a) z (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**2*n**3 - 8*j**2*n*y + 14*j*n**3*y + 32*j*n**3 + 2*j*n**2*y - 342*j*n*y - n**3*y wrt n.\nAnswer: -6*j**2 + 84*j*y + 192*j - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1331) - (sqrt(44) + (sqrt(176) - sqrt(44)))**2.\nAnswer: -174 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-5)\/6*1057\/(-2265)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 32, 60, 88, 116?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*m + 7, 5*m - 13 = 2*m - 4*l. What is the second derivative of -5*v - 53*v**3 + 35*v**3 + 32*v**m wrt v?\nAnswer: 84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*n - 35, -2*t + 6*t + 3*n - 29 = 0. Let s(a) = -5*a + 40. Let r be s(t). Solve r = 2*b + 4*k, 4*b - k + 0*k = -18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 694431 and 278637.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3904670 and 11011.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 100 - 356 - 81.\nAnswer: -3*m - 537","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 1:59 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125135 + 178676. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21ab0 (base 14) in base 3?\nAnswer: -11011001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -13. Let v(h) = h**3 - 6*h**2 - 6*h - 5. What is v(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 236880*q**3 + 2 - 233*q**2 + 52*q**2 + 4*q**4 - 2*q**4 - 236856*q**3 to x*q**4 + u*q**2 + n*q**3 + v*q + p and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (33 + -20 - (19 - -2)) + 35\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 8357, -1?\nAnswer: 8357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s + 4. Let g(y) = y + 1. Let z(n) = -a(n) + 5*g(n). Let o be z(0). Let r = 49.3 + -49. Put 0.4, o, r, -3 in descending order.\nAnswer: o, 0.4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**5 + 27*x**4 - 23*x**3 - 19*x**2 + 29*x - 13. Let o(g) = 14*g**4 - 12*g**3 - 10*g**2 + 15*g - 7. Let m(l) = -5*o(l) + 3*t(l). Solve m(q) = 0.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/85 + (-18)\/(-5). Solve -2*m + k = m - l, 3*m - 3*l = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 2. Calculate b(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/120 and 31\/32.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/6)\/(1\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*8\/(-6)*(-6)\/(-4). Let d be -18 + (6\/n)\/(8\/(-16)). Let b be (d\/100)\/(2\/(-4)). Is 1 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8 + 8530\/(-720) - -4 and 17\/128?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227.7573 meters to millimeters.\nAnswer: 227757.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -142860 divided by -71430?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1195918 and 620?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 14*x**2 + 73*x - 7. Let q(u) = -20*u**2 - 103*u + 10. Let w(i) = 5*q(i) + 7*r(i). Let o(n) = -3*n**2 - 5*n + 2. What is -5*o(z) + 6*w(z)?\nAnswer: 3*z**2 + z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 4a6325?\nAnswer: -4a6327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3 + (2 - 3 - 1)*(-1 + 3 + 0) + 1 - 2 + 3)*(-30*f - 147*f - 334*f) to the form x + w*f and give w.\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - l**3 + l**2 + (4*l + 2*l - 5*l)*(0*l**2 + l**2 + l**2) + 2*l**3 - l**3 + l**3 + (0*l**2 + 0*l**2 + 3*l**2)*(0 - 2*l + 0).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -25. Let f be (7\/x)\/((-16)\/15 - -1). Calculate the highest common factor of 25 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, 4, 30313, 0.1 in descending order.\nAnswer: 30313, 4, 0.3, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/9 - 20*v**3\/3 - 250*v**2\/9 + 1160*v\/3 + 408 = 0 for v.\nAnswer: -18, -17, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65531)\/(-840))\/19 - 5\/400*10 - 4.\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8\/5 - -34\/15. Sort 0.2, c, 2.\nAnswer: 0.2, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4988690449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:03 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 8*n**2 + 24*n - 120. Let i be g(7). Which is smaller: i or -1\/7070?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (19 + (-1620)\/80)*28\/9. Which is the second smallest value? (a) 2\/11 (b) h (c) 2\/7 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 62*a**2 + 286*a - 8909. Determine f(60).\nAnswer: 1051","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + (2*sqrt(320))**2)*6.\nAnswer: 7696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213137.\nAnswer: 131, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28426137 or 28426123?\nAnswer: 28426123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000547136571 to 6 dps.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62287.05 kilograms in grams?\nAnswer: 62287050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 33*p + 63. Let f be g(-31). What is the second smallest value in -1\/3, -0.9, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1548 + 1551. Let b(j) = -4*j**2 + 3*j + 2. Let k(g) = -g**3 - 3*g**2 + 2*g + 3. Give n*k(d) - 2*b(d).\nAnswer: -3*d**3 - d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -379b?\nAnswer: -379b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 30*t - j = -6, 8 = 2*t + j. Sort t, -15, -1 in ascending order.\nAnswer: -15, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = -14 - 19. Let i be -2*(15\/a + 3). Let l(q) = -q**2 - 1. Let f(v) = 4. What is i*l(d) + f(d)?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17050722, 34101458, 51152192, 68202924, 85253654, 102304382?\nAnswer: 119355108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 0, 12, 22, 30, 36?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 - 1.56. Let z = k + 12.26. Let s = z - 11. Which is the third biggest value? (a) s (b) -3\/8 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 143200.793 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o + 56. What is f(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 1)\/(4\/(-4)) - 8. Let a be (-6)\/(-9) + (150\/(-9))\/r. Solve a*n - 5 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/36078 and 53\/25680.\nAnswer: 154413840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -7*f + 10. Suppose f*n = 4*n + 24. Calculate the remainder when -2 - -1 - (-4 + (2 - 84)) is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -119ed5 (base 16) in base 5?\nAnswer: -243423043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -11*x + 3*x. Put x, 3, -5 in decreasing order.\nAnswer: 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p + 10 = 0. Suppose -7 = -p*f + 8. Suppose f*l = 7*l, -m + 3*l + 8 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001110010110111 + 110111?\nAnswer: 1010001110011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*y + 5, -5*y = -y - 5*z + 17. Suppose -3*l + 578 - 607 = -5*h, 2*h = -4*l + 22. What is the greatest common divisor of l and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.4 (c) 176\/41 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**4\/24 - 5*z**3\/2 - z**2 - z. What is the remainder when 5 is divided by m(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 + -2 - (-2 - -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b + b**3)*(2*b**2 - 5*b**2 + b**2) + 0*b**5 - 2*b**5 + b**5.\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**5\/20 + 5*c**4\/12 - 5*c**2. What is the second derivative of a(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 3*t**2 - 10*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10110010100 (base 2) to base 13\nAnswer: -85b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*o + 7*r - 297 = 10*r, -3*r - 24 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 104077995 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + -1 + (858 - 862) - (-10 - -20).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477*x + 1755639 = 508*x + 253844. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**8\/672 - g**7\/84 + g**6\/30 - g**5\/30 + 5*g**2. Suppose d(q) = 0. What is q?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-22))**(-5)\/(z**41)**14 assuming z is positive.\nAnswer: z**(-469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.97 and -0.3.\nAnswer: -0.291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/52 and 51\/218.\nAnswer: 5668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 67, 60, 55, 52, 51, 52?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7)*i*i**(-21))**28 assuming i is positive.\nAnswer: i**(-556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/6 - -2)*(-78 - -72)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -261*z**2 + 2*z - 3. Let j(b) = b. Calculate j(c(i)).\nAnswer: -261*i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 77 - 35)*(4 + 2*h - 4)*(3118 + 298*h - 3118).\nAnswer: 13708*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*g - 2, 0 = 5*g - 2*j + 7 - 2. Let z(v) = -1448*v + 57. What is the units digit of z(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1663 * 0.42\nAnswer: -698.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.62 - -1.835. Let y = 0.215 - x. Which is the third biggest value? (a) y (b) -2\/3 (c) -3\/7 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -3 - 5\/(10\/4). Calculate the remainder when 29 is divided by 19 - 2 - (-9)\/54*i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -155*c**2*d - 64*c**2 - 2*c*d + 7*c with respect to d.\nAnswer: -155*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/19 + 22*r**3\/19 + 84*r**2\/19.\nAnswer: -2*r**2*(r - 14)*(r + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r - 1. Suppose -3*j = 3*o - 45, -3*o - j = -54 + 11. Suppose 0 = 3*i + o - 11. Let p(c) = c - 1. Determine i*p(y) + s(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*g + 11, -v - 37 = -4*v - 5*g. Let n(t) = -t**3 + 4*t**2 + t + 8. Calculate the smallest common multiple of 150 and n(v).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19600 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-74))\/5*92\/(-115).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 131. Suppose 2*r - g = -r. What is the least common multiple of r and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3406 - -1.188?\nAnswer: -3404.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*o + 53, 4*v - 63 = -4*o + 3*o. Let n be (((-18)\/24)\/((-2)\/8))\/1. Let t = n - -28. Calculate the remainder when t is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s**2 + 304*s - 287. Let t(a) = -2*a**2 + 76*a - 72. Let i(x) = -2*g(x) + 9*t(x). Factor i(l).\nAnswer: -2*(l - 37)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -22*z**3 + 8*z**2 - 6*z + 8. Let m(k) = -15*k**3 + 5*k**2 - 4*k + 5. Give -5*h(o) + 8*m(o).\nAnswer: -10*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 7*g**2 - 3*g - 3. Let o be p(6). Let x be (0 + 6\/o)*5. Suppose x*h - 8 = 22. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 + 7)\/((-2)\/1536). Suppose 0 = -3*c + 7*c - o. Let t be (-6)\/(-15) - c\/(-10). What is t rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + (sqrt(891) + -1 - sqrt(891)))**2 + 3*sqrt(891) + 3.\nAnswer: 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(40\/(-15)))\/(5\/(-420)). Calculate the greatest common factor of 1029 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 4*k**2 - 191*k - 1. Let a(r) = r**3 - 6*r**2 - 191*r. Determine -2*a(z) + 3*j(z).\nAnswer: z**3 - 191*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 317.4737?\nAnswer: 314.4737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/6 + 29*j + 2523\/2 = 0. Calculate j.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3384)\/16215)\/(87\/(-105) - 15\/(-35)). Suppose i - a - 4 = 0, 2*i + 4*a = -1 - 9. Is i > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a687 (base 15) to base 10.\nAnswer: 35227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 79 = 5. Let i = 68 - 64. Suppose i*b = 7*b - 24. What is the remainder when c is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 11*a - 11. Let t be j(8). Suppose -19 - t = -4*m. What is the second derivative of -9*g + m*g + 2*g**4 - 4*g**2 + 4*g**2 wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d + 197. What is g(22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from sppssppjpjpjjgs?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (101 + 83*h - 111 - 652*h - 453*h)*(0*h + 2*h + h) as x*h**2 + j*h + m and give x.\nAnswer: -3066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -22.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - u + 7. Let f be j(0). Suppose -3*g + f*g = -120. What is the common denominator of 71\/14 and 147\/g*(-3)\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*k + 25*k - 10*k)*(0 + 7 + 5 + 2*k).\nAnswer: 56*k**2 + 336*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 22*a + 5. Let u(y) be the second derivative of 11*y**3 + 8*y**2 + 2120*y. Give 16*k(n) - 5*u(n).\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + -160. Let q = n + 92.963. Let j = q - -0.07. What is j rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301200132 (base 5) to base 14\nAnswer: 2310ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 2*h**2 - 2*h**2. Let p(m) be the second derivative of m - 1\/12*m**4 + 0*m**2 + 0*m**3 + 0. Give y(p(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 25 = -u - 27, q + u - 4 = 0. What is the first derivative of 38*d**2 + 270 - 25 - 37 - q*d wrt d?\nAnswer: 76*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/126 and 37\/1036620.\nAnswer: 7256340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - j + 92. Let a = -14 - j. Suppose f - a = -2*f. Solve -1 = -z - f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55582747 or -55582752?\nAnswer: -55582747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 3. Let s be q(-7). Let c = -6 + s. Factor c*r**2 + 3*r**5 - 2*r**2 - 3*r - 4*r**4 - 2*r**4 + 3*r**2.\nAnswer: 3*r*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*h = -105*h - 80. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**2. Let b(n) = 16*n + 2 - 4 - 6*n - 8*n - 6. Give r(b(c)).\nAnswer: 20*c**2 - 160*c + 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 99356636 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 minus 60.99319295?\nAnswer: -60.76319295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + -1)*3 - (2 + (-2 + sqrt(2736) + sqrt(2736) - sqrt(2736))))**2.\nAnswer: -144*sqrt(19) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 12*z**5 - 11139*z**4 + 2714484*z**3 - 59246277*z**2 - 46649112*z + 15322800 = 0.\nAnswer: -1, 1\/4, 25, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.4 + 7.1. What is the nearest to 1 in -2\/9, b, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/15 and 77\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13542*z + 13546*z + 5*p + 22 = 0, -4*z = p - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-770)\/(-88)*(-2)\/5*12\/(-35)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114669)\/2466)\/((-3)\/6)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83171 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/((-2)\/12). Suppose y - 3*y = -f. Let v = 14 + -10. Solve -1 = -4*r + 5*b, v*r - b + 1 = -y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**7\/140 - z**4 + 31*z**3\/6 + 5*z. Let g(f) be the second derivative of u(f). What is the first derivative of g(o) wrt o?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7854846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 17. Let v = -4 - z. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, r: 17}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 7*o**4\/4 + 2*o. Let t(h) = 14*h - 47*h + 16*h + 18*h. What is t(z(c))?\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*o = -34, g + o = -0*g + 11. Suppose -21 = g*l - 28. Solve l = -j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/10 (b) -1\/15 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230 and 1265?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1152, 2363, 3540, 4689, 5816, 6927, 8028?\n\"Answer: r**3 - 23*r**2 + 1273*r - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*o + 156, 55*q - 53*q = -2*o + 384. Calculate the remainder when q is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 815, 3275, 7383, 13133, 20519?\nAnswer: 29535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - v)*(28*v**2 - 8*v**2 + 39*v**2 + (-3*v + 3*v + 2*v)*(-2 + 2 + 3*v)).\nAnswer: -65*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5374685l?\nAnswer: 537.4685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232000690 and 4880.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25467179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 132 or -16?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-136)\/(-238))\/((3\/(-108))\/(7\/(-8))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 570.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sppypsppypppph. Give prob of picking 2 s and 1 h.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -16. Let p be 66\/36 - 1\/d. Solve -2*r - 8 - p = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31669311013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2343, -2, 2\/9, 1\/11, -50, -1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-10)*h)\/h**(2\/9))**(-12)\/(h\/(h*h**(-6)\/h)*h**(-2\/21)*(h*h**(-4\/5))\/h**(-3\/2)) assuming h is positive.\nAnswer: h**(21433\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -360 + 210. Let p be 5\/(-4) - t\/184. Is -1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-5))\/((16\/(-2))\/40). Suppose a*t + 4*y - 27 - 1427 = 0, -5*y = -t + 699. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4104 + 4109 = g, 3*g = 9*j + 39 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 89604 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2899*s**2 - 5*s + 6. Let u be b(1). What is u rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0 + 6 - 3 - 2 + (-3 + 1 + 4)*(2 - 1 - 2) + 2 - 1 + 1 + 4 + 1 - 2)*(c**4 - c**4 - 2*c**4).\nAnswer: -10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 29*c**2 + 27*c - 36. Suppose 0 = 17*l + 76 + 26. Is 82 a factor of t(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*1)**2*-6 + sqrt(320)*-1 + -1 + 3 - ((sqrt(150)\/sqrt(12))\/(-6*sqrt(250) + sqrt(10)))**2.\nAnswer: -6452157\/3364 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 7878*y - 31560.\nAnswer: 3*(y - 2630)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 1112?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(216))\/sqrt(8) + (sqrt(81)*1 + sqrt(81))\/sqrt(3))\/((-1*sqrt(2187))\/sqrt(3)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, q: 3}. Give prob of picking 3 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27563817?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, -22, -151, -362?\n\"Answer: -41*y**2 + 76*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 143*k**4 - k**3 - 146*k**4 - 6*k + 22*k as a*k**4 + y*k + v + j*k**3 + x*k**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, 1\/3, -26, 0.2, 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -299 - -515. Let r be (3 + (-28)\/8)*t\/(-9). Solve r*q = 8*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1642.7899 rounded to zero decimal places?\nAnswer: -1643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h, 5 = y - 2*h - 6. What is the lowest common multiple of 4 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 862550\/35 + 60\/(-80)*(-16)\/(-42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212643616 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 + 96. Put l, -4, 15 in increasing order.\nAnswer: -4, l, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-21)\/28)\/(((-2)\/8)\/(-1)). Which is the third biggest value? (a) -0.3 (b) 4 (c) 0.5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110068788 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttlt when four letters picked without replacement from ltttlfllllttf.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72981 and 1649?\nAnswer: 7079157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 3\/250 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*(-67 - 21). Suppose 232 = 4*l - 32. What is the highest common divisor of h and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 328161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 12*g + 2. Let a be w(12). Suppose a*f - 95 = 243. Let b = -110 + f. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, c: 3, s: 1, j: 2}. What is prob of picking 1 j, 1 c, and 1 s?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3795431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 9*t**2 + t - 1. Let o be p(-9). Let s be -1 + -1 + (-4 - o). Solve -4 = 4*l + s*m, -l - 3*l = 3*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1210 + -1211. Which is the second biggest value? (a) -0.06 (b) -10 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 127 + 113. Suppose -4*h = 4*f - 16, 5*h = 9*f - 4*f - c. Sort f, 1, 3 in ascending order.\nAnswer: 1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99\/18*3196\/517\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1003138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2*(-70)\/21. Suppose 4*x - 3 = 3*w, -p*x - 4 + 25 = 2*w. Suppose x*c = 3*q - 96, 0*c = -c - 2. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 = 14, -2*u - 28 = 2*f. Which is smaller: f or -94\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2163*p**2 + 4243*p**2 - 2036*p**2.\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 124301 (base 7) to base 13\nAnswer: a6b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 9:55 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243404 (base 5) in base 3?\nAnswer: 110122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(252)*-3)\/sqrt(4))\/(sqrt(63)\/(sqrt(7)*3)).\nAnswer: -27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Suppose 4*p + n - 79 - 458 = z, n + 408 = 3*p. What is the greatest common factor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/16 and -1\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -157 + -32521?\nAnswer: -32678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 12. Suppose 6*n - 4*k = n + 160, 0 = -x*k - 20. Let g = 61 + -19. Calculate the greatest common factor of n and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 3 + 0*w - 2. Let s be 8\/(-10) + (-570)\/(-25). Let t(p) = 9*p + 11. Suppose -7*z + 13*z = -12. What is s*y(f) + z*t(f)?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420811505?\nAnswer: 5, 84162301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4723 rounded to one decimal place?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 107*u**2 - 3*u + 3. Suppose 20 = 9*w + 11. What is the remainder when b(w) is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 9 = -6*l - 6*q, 8*l - 3*q - 56 = 57 - 90 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3994.95 to the nearest ten.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -387*t**2 + 411*t - 24.\nAnswer: -3*(t - 1)*(129*t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2020000 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m + 47*m + 12 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -3*o**6\/2 - 12*o**5 - 36*o**4 - 48*o**3 - 24*o**2 + 5. Determine k, given that q(k) = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.1. Let u = 8.4 + -9. Let a = u - 0.4. Is m bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = s - 9. Suppose 2*b + s*d = 30, -4*b - 5*d = -5*b - 20. Let p(l) = b*l + 4*l - 4*l + 6*l. Let o(c) = 3*c. Determine o(p(u)).\nAnswer: 33*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028546852 to 6 decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/(-8)*2*4. Let j = z + 49. Solve -j*k - 10 = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 3*m**3 + 73*m**2 - 2*m. Let j be b(-8). Solve 2*i + 2 + j = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1100*t - 44 + 45 to the form b*t + w and give b.\nAnswer: 1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595025336.\nAnswer: 2, 73, 1018879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. Suppose -5*h - 50 = -5*x, 2*x + 5*h + 3 - 16 = k. Suppose -34 = 59*i - 43 - 50. Calculate the least common multiple of i and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(16) + sqrt(16) + -3*sqrt(16) + sqrt(16) - sqrt(4)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2. Suppose 2*n + 10 + 12 = -5*w, h = -3*n - w - 7. Let i = -0.183797 + 0.203797. Which is the biggest value? (a) i (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 2 - 12*8. What is the remainder when 47 is divided by 82\/7 + (-28)\/k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. What is the second derivative of -2*q**4 + 9*q - w*q**4 - 11*q wrt q?\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -677*m*o**4 + 3553*m*o**2 + 4*m + 2*o**3 wrt o.\nAnswer: -16248*m*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 484*o + 983*o - 494*o + 643 - 244.\nAnswer: -o**3 + 5*o + 399","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1256 + 1760 - 272 = 196*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734267 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 4*w + 7. Let r be k(-3). Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5 = 0, -5*g + g + 19 = 5*x. Let d = x - -15. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 20328847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 0.8372041.\nAnswer: 0.5372041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112 - -169. Suppose 3*z - d = -27. Factor -5*i**3 - 29*i**2 - 32*i**2 + 76*i**2 - z*i.\nAnswer: -5*i*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*l*p + 10*k**3*l - 3*k**3*p**2 - k**3*p + 2*k**2*l - l*p**2 - 555*l wrt k?\nAnswer: -6*l*p + 60*l - 18*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/6 + (-20)\/(-30). Let v(o) = -2*o**3 + 6*o**3 - 7*o**3 - o + o**i. Let a(u) = u**2 + 35*u + 235. Let b be a(-9). Calculate v(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 5*p**2 + 2. Let f be y(4). Suppose 5*m = 90 + f. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1598)\/(-51))\/(2\/39). Let d = q - 611. Solve d = -2*o + o - 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 233.9 - 234. Let f be (-14)\/(-20) + 1\/(-2). Which is the closest to 7? (a) f (b) 1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61676, 246732, 555158, 986954, 1542120, 2220656, 3022562?\nAnswer: 3947838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 12, -f + 6 = 5*a + 23. Differentiate -8*b + 1 + 8*b + 3*b**f wrt b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135 - 125. Suppose 0 = 3*f - 1 - 5. Suppose 4*i + m - 58 = f*i, 66 = 2*i - 3*m. Calculate the greatest common divisor of i and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -8. Sort f, 1, -5 in descending order.\nAnswer: 1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 26127 = 34*c - 31*c, 0 = -3*c - 2*u + 26122. List the prime factors of c.\nAnswer: 2, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2970)\/(-2750) + (-4)\/50 + 58\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 5:59 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:50 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021 + -10100202020?\nAnswer: -10100211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - -0.02. Are u and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-14) - 115\/(-35). Suppose -c*w + 2 - 3 = 5*y, 8 = -3*w + 2*y. Sort w, 3, 18.\nAnswer: w, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-6)\/(-6))*0\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 572041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 5*x**2 + 6*x + 7. Let k be c(-3). Suppose 0 = -8*a + k*a + 3. Suppose 2021 = a*y - 1429. What is y rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 61*o + 33. Let q be w(31). Suppose q*c = j + 2, -18*c + 3*j = -14*c. Suppose -7*l + 5*l = -2. Solve -3*d = -4*g - c, 2*d - g - 1 = l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z + 4. Let w be x(-9). Which is greater: w or 29?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 3*t + 5. Let f(w) = w**3 - 2*w**2 - w - 1. Let g be f(3). Put -3, t, g in increasing order.\nAnswer: -3, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*g**2 + 5*g**3 - 2 + 138*g - 4*g**3 - 281*g + 143*g in the form y*g + r*g**2 + b*g**3 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 17*c + 30. Let z be k(-4). Let a = 3 + z. What is the highest common divisor of 1104 and a?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -846 - -841. Which is the nearest to -1\/2? (a) 1.2 (b) -0.6 (c) 0.2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 12:25 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-77))\/(-6))\/((-4)\/(-14)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 >= -95\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 2409 = 23. Suppose -u*k + 126*k = -202. What are the prime factors of k?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 3577734.\nAnswer: 17888670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2, 8\/3099, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1041, 1034, 1027, 1020, 1013, 1006?\n\"Answer: -7*f + 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 17 + 86*h**2 + 29 as t*h**2 + l + o*h and give t.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -978 + 1391. Suppose 21*x = 406 + d. What is the remainder when 192 is divided by x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 2*i**2 + 4*i - 8. What is a(5)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16937, 33876, 50791, 67682, 84549, 101392, 118211?\nAnswer: 135006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 - 5*r**2 + 3*r**2)*(-1 - r + 1) - r**3 + 6 + 9 + 17.\nAnswer: 6*r**3 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85301968 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/((6\/(-162)*-12)\/((-9)\/(1215\/(-10)))).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -2430342200?\nAnswer: 2430342134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*i**4*p + 54634*i**4 - 28*i**2 - 91844*i*p - i wrt i?\nAnswer: -744*i*p + 1311216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6127339 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 9*s + 139 + 0*s + 7*s - 157 + 55*s**2. What is the first derivative of x(c) wrt c?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*y - 123*y + 40*y + 46*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 10:43 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**3 + 14092*y**6 - 24244*y**6 + y + 5*y**2 + 76 - y**3 wrt y?\nAnswer: -1218240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*k = 6936, n = -n - 4*k - 3458. Let y = 2690 + n. List the prime factors of y.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2740)\/(-18) + 2\/(-9) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -22, -26, -9, 4, -1 in ascending order.\nAnswer: -26, -22, -9, -1, 0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 59. Suppose -5*s + 0*s + d*y = -20, 8 = 2*s - 5*y. Solve x - l - 1 = -9, 4*l + 8 = -s*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234592 rounded to the nearest 1000?\nAnswer: 235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 521, 1166, 1929, 2810, 3809, 4926?\n\"Answer: 59*a**2 + 468*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diidddd. Give prob of picking 3 d.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + 61. Suppose 4*y + 3*z - 5*z = -l, -2*y + 4*z - 44 = 0. Calculate the common denominator of 4 - (2877\/y)\/(-7) and -55\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-330)\/45)\/((-6)\/(-27)). Let x(c) = -6*c - 87. Is 9 a factor of x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5559 and -13141.\nAnswer: -7582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35104 from -1.21669625.\nAnswer: -35105.21669625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**3\/2 + 8559*t**2\/2 - 2995785*t\/2 - 4904007867\/2 = 0.\nAnswer: -561, 1707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3970387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4818864*h**3 + 2533307?\nAnswer: -14456592*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 5*i = 13, 3*d + 10*i - 7*i - 3 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3 greater than 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - 2*i)*(19 + 1005*i + 0*i**2 - 1015*i + i**2) - 2*i**3 + 4*i**3 - 4*i**3 + (i**3 + 1 - 1)*(2 + 1 - 4).\nAnswer: -5*i**3 + 20*i**2 - 38*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-12))\/(125\/(-55500))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -604*a**2*r + 132*a*r wrt a.\nAnswer: -1208*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317593 rounded to the nearest ten thousand?\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10 = 5*l, 4*i - 13 = 5*l - 5. Let d be 2*21\/(-18) + i. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8429 + -8395. What is the nearest to 0.1 in 1\/3, -5\/6, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o. Suppose 13*k = -11986 + 12012. Let r(g) be the second derivative of 0 + 5\/6*g**3 + 0*g**k - 8*g. Determine r(v(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 17*s + 2. Suppose -7*t - 71 + 190 = 0. Let z be j(t). Find the first derivative of -16 - z*c + 14 - 20*c**4 + 2*c wrt c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, f: 4, z: 6}. Give prob of picking 4 g.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3081*l**3 - 5740*l**3 - 9777*l**3 - 1921*l**3.\nAnswer: -20519*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/5)*b)\/b**(6\/19))**44 assuming b is positive.\nAnswer: b**(3696\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*i - 2*i**2 + 11*i - 3*i in the form y + w*i + q*i**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1195 divide 43987950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - ((8 - (-10 - ((-28 - -6) + 10))) + -12).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -124. Let k(o) = -o**3 + 23*o**2 - 2*o + 54. Let w be k(23). Let q be -2*w*(-29 + 28). Calculate the greatest common divisor of q and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*2\/8*1\/(-3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 2\/19, 10, -8, -1\/2 in descending order.\nAnswer: 10, 3\/7, 2\/19, -1\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -51*j**3 + 9*j - 9. Give w(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, 4, -4, -23, -3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 37*a - 61. Let c be f(35). Let z(p) = -p**3 + 9*p**2 - 3*p + 3. Calculate z(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 96 = -439. Let h = -102 + q. Solve -1 = -8*o + 4*o - h*j, -4*o - j = 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 107427.\nAnswer: 859416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 3*z**2 - 558*z - 1. What is s(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 2 + (-918 + 916 - ((-3 - 28) + 3))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31152 or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 13 = -b - 0*f, 3*f - 25 = 8*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (23 + -117 - (-2 - -32)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*b = -1359*b - 3142 - 12048 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -265*f**2*s**2 - 3*f**2*s + s**2 + 3*s + 3 wrt s.\nAnswer: -530*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2211021 + -1110100?\nAnswer: -11021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = 5*o - 7*o. Let l = 126 - o. Solve -l*k = -v + 8, 2*k + 4*v = -0*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364844430?\nAnswer: 2, 3, 5, 1217, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20d - 0?\nAnswer: 20d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 598959042 divided by -159\nAnswer: -3767038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82 - -633?\nAnswer: 633.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -371*w**2 + 124*w**2 - 21*w**6 - 233*w**2 - 1872 + 8*w**3 + 1871 wrt w?\nAnswer: -2520*w**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-96)\/5)\/(-4) - (0 - -5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/139555 and 40\/247.\nAnswer: 139555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4*m - 8 = 0, -m = -3*q - 1 - 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*w + 13630 - 40990 = 0, 27357 = 4*b - 5*w. What are the prime factors of b?\nAnswer: 3, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-23))\/((-468)\/104)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmmm when four letters picked without replacement from mgwggmm.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1 (c) 81834575\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1291 = -6*a + 2573. What is the greatest common divisor of 56 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 634*h - 3884. What is t(-6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 139141081.8 microseconds?\nAnswer: 0.0002300613125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**2 + 0 + 1\/12*z**4 - 5\/6*z**3 + 3*z. Give f(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (155\/1116*18)\/(10*39\/24).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.2. Let q = 1.1 - 1. Let f = q - m. What is the third smallest value in -0.5, f, -1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 142\/71*(-3)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22020 (base 3) to base 6\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 2560 = 6*v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102513 = -36*b + 129579. What are the prime factors of b?\nAnswer: 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 + (-64)\/(-24). Let m be (-16 - -14) + (o - 2 - -1). Which is smaller: m or -2\/147?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*q - 11 = 87*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (17\/3 - 1)\/(11\/396). Suppose -10*a + 32 = -k. What is the remainder when a is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q = -j - 77, -5*q - 19*j = -14*j + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40011 - 7?\nAnswer: -6.59989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, -4, 0.4, 1.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 3*t + t + (1 - 2 - 1)*(578*t - 567*t - 474*t).\nAnswer: 927*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67319*f*p**2 + 114855*p**2 wrt f?\nAnswer: 67319*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4+-25667\nAnswer: -25663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 2:39 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220 - -1 - (-6 + 1 - -9).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35, -37, -39?\n\"Answer: -2*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.0521 (b) 5 (c) -5.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 105892 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 4:53 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvddzduzuuzduuudzzd. What is prob of picking 1 d and 1 u?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (2 - 1) - (11 - 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 99*i**2 - 1156*i - 149118. Determine f(-102).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -13*q - 4*w, 0 = 4*w - 4. Let y(s) = -s + 3. Let l be y(4). Which is the third smallest value? (a) -2\/5 (b) l (c) -4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 9*h + 8. Let y(b) = -b**2 + 10*b - 9. Let o be -4 + -1 + -2 + 1. Let r(x) = o*q(x) - 5*y(x). Calculate r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9 times 41851?\nAnswer: 246920.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.184 + 0.216. What is the second smallest value in s, 0.07, 2.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 27\/9 + 45. Is t > 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*m - 211*m + 118*m + 612*m**3 - 613*m**3.\nAnswer: -m**3 - 279*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a week in hours?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -268048 and 468 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + -0.2. Suppose 42 = -8*y + 90. Let h be (4 - 3)\/(-10 + 1 + y). Which is the third biggest value? (a) z (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.75 + 6.05. Round q to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71879962 by 5599.\nAnswer: 12838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149.59 + 149. Let j = 35.59 + a. Let p = -43 + j. Sort -3, 4, p in ascending order.\nAnswer: p, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092017 to the power of 1\/2, to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -214632, -214641, -214656, -214677, -214704, -214737, -214776?\n\"Answer: -3*m**2 - 214629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 94.9 (b) 2\/17 (c) 5 (d) -2\/85 (e) 2\/57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 10:22 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-640)\/1100 - (-4)\/10. What is the second smallest value in 0, u, -1.27?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*h**3 - 500*h**2 - 688*h - 60.\nAnswer: 4*(h - 5)*(h + 1)*(32*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 257 and 2432.9.\nAnswer: 625255.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27789793 is divided by 2315814?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Solve -w*s = -5 - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 3744\/35875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**3 - 2*t**2 - 2*t - 2. Suppose 3*i + 12 = c, 0 = -6*i + i + 2*c - 20. Let s(d) = 5*d**3 - 3*d**2 - 3*d - 3. Give i*s(h) + 6*n(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 17933*r - 214871. Determine u(12).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*b = 1174, -b = 4*m - 3*b + 940. Let c be (-3)\/(4 + m\/56). Is 14 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 2, k: 3, v: 2}. Give prob of sequence ll.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-32)\/(-20))\/(6\/15). Let b = 0 + 0. What is the first derivative of 3 - g*k**3 + b - 2 wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 3:34 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247426*v + 127162*v + 120266*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 305536 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 4*a - 15 + a**2.\nAnswer: a**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - z + 260 = 2*z, -3*z - 816 = -3*s. What are the prime factors of s?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211028847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -271*m**5\/10 + 2*m**4\/3 + 31*m**3\/6 + 7*m**2\/2 - 55*m. Let n be p(17). Round n to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 8020\nAnswer: -1\/8020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 3*h + 21*h + 126, 17 = p - 2*h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72278 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -1662, -3979, -7208, -11343, -16378?\nAnswer: -22307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39, 110, 181, 252, 323?\n\"Answer: 71*z - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide ((-6)\/15*-5)\/((-2)\/(-166))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13081 and 18643.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/4 - 42611*y**3\/4 + 303161085*y**2\/2 - 724108747689*y + 54862507079226.\nAnswer: (y - 14178)**3*(y - 77)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 386\/481 + -24\/37. Let s = 1 - 0. Let t(l) = -l**2 - 1. Let f be t(-1). Which is the smallest value? (a) s (b) 1\/9 (c) u (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 42. Let c = 37 - z. Suppose -92 = -6*h + c*h. Which is smaller: -22 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40342352*f**2 - 333809216*f.\nAnswer: 80684704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2104\/29133 + -2\/1079. Let u(m) = -m - 3. Let j be u(-3). Is j <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54945)\/7326)\/(-5*(-2)\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/5 - 12*j**2\/5 + 16*j\/5.\nAnswer: 2*j*(j - 4)*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 38 = 27*z + p, z + 3*p + 24 - 91 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - 30?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 5.96. Let h = -0.06 - x. Put h, -4\/5, 2 in descending order.\nAnswer: 2, h, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 206?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -12*q + 59 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8194489 to the power of 1\/2, to the nearest integer?\nAnswer: 2863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760300 is divided by 123?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*j - 312 + 1162 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c**3*d**2 + 113*c**3 - 229*c*d**2 + 2*d**2 - 7*d wrt d?\nAnswer: -16*c**3 - 458*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 23*h**3 + 653. Let p(u) = -u**2. Calculate p(o(s)).\nAnswer: -4761*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*((sqrt(171) - sqrt(171)*2*-3) + -1 + (-2 + sqrt(171) - sqrt(171)) + sqrt(171))**2.\nAnswer: -2160*sqrt(19) + 164295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1584)*6 + sqrt(1584) + 1 + -4)*3 - (sqrt(1584) + sqrt(1584) + -1 + sqrt(1584) + -3 + (sqrt(1584) - 1*sqrt(1584))*4))**2.\nAnswer: 2160*sqrt(11) + 513241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -44. Let w = 35 - a. Let c(k) = 3*k**2 - 5*k - 3. Let p(g) = -2*g**2 + 4*g + 2. Let d(u) = 3*c(u) + 4*p(u). Calculate d(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -9. Let p(f) = f**2 + f - 11. Let y be p(3). Let k be -1*-35*y - 0. Calculate the highest common factor of k and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -490 - -486. Let o be (3\/(-6))\/((-3)\/18). Put o, c, 20 in increasing order.\nAnswer: c, o, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -17. Let g = q + -22.9. What is the second biggest value in 1\/3, g, -7\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1497*k - 6. Let i(a) = 1511*a - 7. Calculate 3*i(d) - 4*j(d).\nAnswer: -1455*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = j, 5*b - 23 = 17*j - 20*j. Sort 0, 2, b, -4, -102 in increasing order.\nAnswer: -102, -4, 0, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 2340*l**2 - 224155*l - 5758500.\nAnswer: -5*(l + 44)*(l + 75)*(l + 349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*a - 407, 5*g + 14*a - 18*a - 520 = 0. Let d = g + -17. Calculate the greatest common factor of d and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -4.3. Let m = 23.1 + -20.16. Let w = m - -0.06. What is the biggest value in j, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/826 and -43\/7838467.\nAnswer: 924939106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -55*y + 351. Let d be o(6). Calculate the highest common divisor of d and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73434*n - 9307*n + 717548*n.\nAnswer: 781675*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/13770 and 25\/1544994.\nAnswer: 7724970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 498 and 185340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 103825803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 4*g**3 - 2*g**3 + (3 + 14*g - 3)*(-g**2 - 4*g**2 + 3*g**2))*(24*g + 16*g + g).\nAnswer: -1107*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*u**2 + 126*u**2 + 81 - 323 + 82 + 79 + 80.\nAnswer: 96*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - -0.2. Let f = 15 - 9. Let h = -2 + f. What is the closest to u in -0.2, -1\/7, h?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 9. Let l be a(11). Let m(p) = p**2 + p - 1. Let f(v) = -v**2 - 3*v + 3. What is l*f(y) + 4*m(y)?\nAnswer: 2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11567*f**2. Let z(a) = -46*a**2 - a. Determine z(c(h)).\nAnswer: -6154592494*h**4 + 11567*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 9*a**2 + 5*a - 1. What is b(8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/16022280 and 47\/192.\nAnswer: 128178240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 94783.91 millilitres?\nAnswer: 94.78391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 + 4*v - 1. Let k be f(-4). Let p = 50 - 29. What is the greatest common divisor of k and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 414 and 6246?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 6*x**2 - 6*x - 5. Let n be u(4). Solve -2*p = 4*c - 1 + 3, 3*c = -p - n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*u)*(-11 + u + 11)*(2*u**2 - 12*u**2 - 2*u + 0*u**2).\nAnswer: -20*u**4 - 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19545, -19552, -19561, -19572, -19585, -19600, -19617?\n\"Answer: -f**2 - 4*f - 19540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + (33 - 32).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 - 66*j**2 + 76 + 38*j**2 - 344*j**2.\nAnswer: -372*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2*sqrt(224)*-3 - sqrt(224))\/(4*sqrt(896)\/sqrt(8)))**2.\nAnswer: 49\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -50.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16927.49 millilitres?\nAnswer: 16.92749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000103326598 to six dps.\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1008) + (2 + sqrt(1008) - sqrt(1008))**2 - sqrt(1008)) + -4) + (-2*sqrt(49)\/(sqrt(1008)*2 - sqrt(1008)))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11.64279 hours?\nAnswer: 698.5674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2589*o**4 + o + 44.\nAnswer: 31068*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 2, -0.89, 4?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 c when three letters picked without replacement from cccurczcuczruzcccuc.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907217 is divided by 906267?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(363) + -4 - sqrt(363)))**2 - sqrt(363).\nAnswer: -11*sqrt(3) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 48*f = 55699 + 7109. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 5*j - 1. Let u be p(4). Let m = u + 186\/5. Let z be 3\/((-27)\/(-2)) - 0. Sort z, m, -1\/2 in decreasing order.\nAnswer: z, m, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14 + 3 + (3 - 0). Factor 6*x**2 + x + 23*x**3 + 2*x - b*x**3.\nAnswer: 3*x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 2\/113343909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256037 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73084, -72364, -71164, -69484, -67324, -64684?\nAnswer: -61564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2112 - -2112.1. Which is the fifth smallest value? (a) l (b) 0.4 (c) 0.2 (d) -0.5 (e) -18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -52.97. Let q = b + 0.1. Is -0.1 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18611976 and 36.\nAnswer: 55835928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -65 (c) -10 (d) 0 (e) 3 (f) 2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4781*v**2 + 3*v + 2722*v**2 + 2400*v**2.\nAnswer: 341*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -0*z - 4*z + 2, 0 = 2*z - j - 4. Suppose -3*c - x + 65 = 0, 2*c - 7*x - 38 = 36. Solve h + 22 = -4*k + z*h, 5*k - h + c = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5961 < -5821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203 + -3?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13209 and 238.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 38*v + 22. Let p(d) = 141*d + 92. Let g(b) = 25*f(b) - 6*p(b). Let h(q) = 16*q**2. Determine g(h(l)).\nAnswer: 1664*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -61730.\nAnswer: -18519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2295 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 1. Suppose 0 = 10*a - 49 - 311. Suppose -2*w = -5*w + a. Suppose 11*s - w*s = -1. Determine r(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -0.18909?\nAnswer: -0.18909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 99\/44 + (-1)\/4. Let z be ((-5)\/((-15)\/g))\/((-5)\/(-30)). Suppose 3*v - 8141 = -z*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 22. Let k be n(-6). Suppose k*t = 5*t + 132. Let w(o) = 57*o - 13*o**2 + o**3 - 69*o + 3*o**2 + t. Give w(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c + 3939 = -79*c + 156 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - v + 12. Is l(0) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 33*c - 1565. Determine m(25).\nAnswer: -1990","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.3 (b) -1\/9 (c) 25 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2\/6)\/(556864\/(-10848))?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31169, 31168, 31167?\nAnswer: 31166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a**2 + 50*a**2 - 19*a**2 - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129000466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2725*x**4 + 1122*x**3 + 83917189*x.\nAnswer: 32700*x**2 + 6732*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4286046.31 - 4286048.18000079. Let f = x - -1.87. What is f rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - h - 1. Let z be j(3). Suppose -4*i = 4*p + 100, 4*i = -p - 68 - 32. List the prime factors of 13\/z + (-10)\/i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, f: 2, p: 3, c: 2, m: 6}. Give prob of sequence kmfp.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1094507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -22 (b) -20.06 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14 - 2) + 0 + 2 - 2) + -23?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 400866043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.205036 to two decimal places.\nAnswer: 1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -37*i + 20*i - 31*i - 1. Is 17 a factor of v(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -249*r**5 + 128*r**5 + 9*r + 161*r**5 + (-6*r**3 + 0*r**3 + 4*r**3)*(-1 - 2*r**2 + 1).\nAnswer: 44*r**5 + 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1872) + sqrt(1872) + (sqrt(13) - (sqrt(13)*-3 + 0 - sqrt(13))) - (-2 + ((sqrt(1053)*-1 - sqrt(1053) - sqrt(1053))*-5)**2).\nAnswer: -236922 + 29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from dddrddrfrbud.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4696 equal to -4699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x - 4*u + 400 = 0, -2*u = 3*x - 305. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -20201?\nAnswer: -20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86.222 or -1?\nAnswer: 86.222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*r + 29*r - 4 - 58*r**3 + 36*r + 4*r**2.\nAnswer: -2*(r - 1)*(r + 1)*(29*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50 - 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 2:15 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284 and 4925912.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 49416.21 from -3.127.\nAnswer: -49419.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -375, -208, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 2*z. Let m be p(-2). Let o be 1\/(-3) + (-49)\/(-3). What is the greatest common divisor of m and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p. Let f(b) = -b - 89. Determine j(f(y)).\nAnswer: -y - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 10\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(3\/1) - -3. Let g be 1*(0 - 0)*(-1)\/2. Suppose c = -3*r + 9, 4*c = -s*r - g*r + 16. Solve -5*b = -r*n - 17, -6*b + 15 = -b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 252, 258, 266?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = i - 0. Let u(o) = -5*o + 11. Let p = 18 - 12. Let b(v) = 6 - 7 + p - 2*v. Calculate i*u(d) - 9*b(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 2:19 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -1 (b) 1905 (c) -14 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 42 = 230. Suppose 4*s = 15 + v. Calculate the lowest common multiple of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133 - -170. What is the third derivative of -x*n**5 - 15*n + 15*n - 37*n**5 - 23*n**5 - 2*n**2 - 2*n**6 wrt n?\nAnswer: -240*n**3 - 5820*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135876152?\nAnswer: 2, 16984519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -9 - (-125 - -11) - (-10 + (4 - -18))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**2\/3 + 1100402*k\/3 - 1833995 = 0?\nAnswer: 5, 1100397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-153)\/30 - 2\/6 and (402\/(-15))\/((-464)\/145).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74742799031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3076a + -389?\nAnswer: 303a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 404*h**2 - 177485 + 177485 to q*h**2 + u*h + k and give q.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -122, 5, -0.4?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -11.68, 0.2, 2 in decreasing order.\nAnswer: 2, 0.2, -1.4, -11.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l - 129 = 88*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 578.4758ng?\nAnswer: 0.5784758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 + 139. Let h(n) = 9*n**3 - 3*n**2 + n. Determine h(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.11 - -111.09. What is z rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 49 (b) -4\/9 (c) -5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 19*c. Let t = -50 + 92. Suppose n - 281 - t = c. What is n rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 + 2*o**2 + o + 1. Let w(t) = 2*t**2 + 3*t. Suppose -4 = y + 3. Let n = 5 + y. Let i be w(n). Give u(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248634973 a multiple of 859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6529, 13046, 19559, 26068, 32573, 39074, 45571?\nAnswer: 52064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 6*a - 10. Let q(v) be the third derivative of v**4\/24 - v**3\/6 - v**2. Calculate -k(o) + 8*q(o).\nAnswer: -2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1566805, 3133609, 4700413?\n\"Answer: 1566804*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1940 - 13578\/7. Put o, 2, -0.5, 4\/7 in ascending order.\nAnswer: -0.5, o, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 12*o**5\/5 - 35*o**4\/4 - 113*o**3\/3 + o - 464. What is the third derivative of v(q) wrt q?\nAnswer: 288*q - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 210621476, 210621475, 210621474?\nAnswer: 210621473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:54 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + -68. Let m(x) = 24*x**3 + 48*x**2 + 30*x. Let d(r) = 24*r**3 + 47*r**2 + 30*r - 1. Let g(b) = v*m(b) + 3*d(b). Factor g(j).\nAnswer: -3*(j + 1)**2*(8*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**(-1))))**(3\/16) assuming v is positive.\nAnswer: v**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 7 + -3 + 0 + 41 - (-5 + 11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192697 is divided by 418.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32 + 74 - q**4 - 2*q**3 + 56 + 0*q**4 wrt q.\nAnswer: -4*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29227694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56900 = -7361*b + 12734 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-1)\/m*m)**(-26\/9)\/((m\/m**(-5\/3))\/(m**(-6\/7)*m))*((m**(1\/3))**(10\/17))**(-3\/4) assuming m is positive.\nAnswer: m**(-11909\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*k + 190*k + 352*k + 60*k + 948*k.\nAnswer: 1277*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 303 - 303.3. Which is the nearest to 6? (a) -3 (b) 1 (c) -0.2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 277359680*i + 3846419604485120.\nAnswer: 5*(i + 27735968)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21457888 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -7. Suppose t*g + 3 = 11. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -4 (c) -3 (d) 1123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*f - 0*f + 114, 0 = -4*f + 2*j + 92. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9126.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(4\/5)*v**(1\/5) assuming v is positive.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -4*x + 26, 2*h = -24*x + 21*x + 19 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 23.8. Let v = g - 0.2. What is the second smallest value in v, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/451 (b) 549 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -19, -380, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -66768, -133046, -198836, -264138, -328952, -393278, -457116?\n\"Answer: 244*p**2 - 67010*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/4 + 75*s**2\/4 + 7011*s\/2.\nAnswer: -3*s*(s - 82)*(s + 57)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3\/8)*v)\/(v\/v**1))\/(v*v**0*v*(v*v\/(v**(-4\/9)*v*v))\/v*v))**25 assuming v is positive.\nAnswer: v**(-3275\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 26064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*f - 57*f + 27 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 5. Let n be (2\/(-6))\/(b\/36). Suppose -n*d + 5*d + 5*o = 56, 0 = -3*d + 4*o + 130. Calculate the remainder when d is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h**2 + 3*h - 7. Let g = 141 + -136. Let c(s) = -4*s**2 + 2*s - 4. Determine g*c(r) - 3*a(r).\nAnswer: r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**6\/120 + t**4\/24 + 19*t**3\/6 + 265*t**2. Suppose -4*a = -2*a. What is the units digit of y(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-5\/3)*h*h)\/((h\/h**(-6))\/h))**30)**12 assuming h is positive.\nAnswer: h**(-2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -0.3. Suppose -2 = 26*z - 27*z. Put z, u, 0.6 in decreasing order.\nAnswer: z, 0.6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 2*y**3 + 4*y**3)*(-1 - 5 + 4) - 2*y**3 - 5 + 5 - 5 + 5 + 4*y**3 + 0*y**3 - 4*y**3 + 3*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4 - 6099*u**3 + 4087293*u**2 - 900406605*u = 0. Calculate u.\nAnswer: 0, 535, 749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6.4. Let l(o) = o**2 - 4*o - 3. Let b be l(5). Suppose 2*f = m + 5, 2*f - 4*m - 18 = b. Sort 0.5, v, f in increasing order.\nAnswer: v, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 4 - 5999*a**2 - 37 + 22 as d*a**2 + j + f*a and give d.\nAnswer: -5999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**4\/24 - 1259*x**3\/6 + 1585081*x**2\/4 - 4775*x. Factor m(p).\nAnswer: (p - 1259)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*f + 36. Let i(w) = 21 - w - f. Let p(l) = 2*l. Determine i(p(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 29 = 2*l - 5*m, -m = 3*l + 35. Let p = l + 17. Suppose p*z - 5*g + 0*g - 30 = 0, g = 2*z - 13. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 177, 1\/3, 38?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-6 - (-18 - (-24 - -12)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -3*m - 41, 1027*m - 5 = 3*z + 1026*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/250 - 326\/375. What is the closest to -6 in 2\/11, 1, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3925668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -2*h**2 + 6 + 7\/4*h**4 + 0*h**3 + 0*h. Find the second derivative of l(m) wrt m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -42 = -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1520\/15 + 2\/(-6). Suppose -29 = 4*j - c. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**2 + 0*y**2 + 0*y**2 + (0 - 5*y + 0)*(2*y + 2*y - 5*y) in the form j*y**2 + h*y + r and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1 = -k, 19 = -s + 4*k + 6. What is the nearest to s in 1, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**4\/3 + g**3\/3 - g**2 - 2*g - 468. Let u = -10 - -7. Determine z(u).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 945 + -589. What are the prime factors of l?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 + 78899*d + 3 + 142841*d - 5.\nAnswer: 221740*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15bac3 - 14?\nAnswer: 15baae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1328 to 3 dps.\nAnswer: 0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 219 + -135. Suppose 0 = -2*h + 3*h - 2*v - 21, 4*h + 3*v - u = 0. Is 12\/(-21) + 15657\/h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 38*f - 24. What is the units digit of p(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-3)\/9*33\/(-143)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2056 (base 14) in base 15?\nAnswer: -19ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903458 is divided by 199?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 380 - 379.8. Put -10, i, 8, -3 in descending order.\nAnswer: 8, i, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1961 + 1961. Find u such that 0*u**4 + g + 4*u**3 + 16\/3*u**2 + 2*u - 2\/3*u**5 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (91\/35 + -2)\/((-2)\/(-270))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50309*w + 10 = -50308*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, -57, -3 in descending order.\nAnswer: 5, -3, -9, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 20, -u + 22 = 7*w - 3*w. Solve -5*z = -4*i - u, 2*z + z - 4*i - 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 686 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.11, 3, -9\/11, -18, -0.023, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 7*g + 136 = 0. Suppose 20 = 5*w - 30. Calculate the remainder when g is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128136 divided by -21356?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 9*i + 3874 = 0. What is the derivative of 116*n + 56*n + 63 - i*n wrt n?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 6*v**2 + 5*v. Calculate the remainder when 16 is divided by b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45938180 rounded to the nearest 1000000?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20472\/8189 + 1\/16378. What is the biggest value in -149, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -8. Let p(l) = 26*l - 57. Is 15 a factor of p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f**3 - 9*f**2 + 9*f + 7. Let t(r) = -11*r**3 + 13*r**2 - 13*r - 11. Let z(y) = -8*k(y) - 5*t(y). Let c = -89165 - -89171. Calculate z(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15362901 and 10241934.\nAnswer: 30725802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 128 = -4*n, 2*l - 2*n - 145 = 7*l. Let t(u) = -629*u + 15. Let a be t(10). Let w = a - -50113\/8. Find the common denominator of l and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, g: 9}. Give prob of sequence uu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16699 + -8734. What are the prime factors of w?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(4 - 3) - -1. What is the closest to 0 in 3, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97344\/6760*(-25)\/6*16\/(-20)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + d - 1)*(1 - 1 + 2*d) - 3*d**2 + d**2 + 7*d**2 + 0*d**2 - d**2 + 2*d**2 + 0*d**2 - 3*d**2 + 0*d**2 - 2*d**2 - 4*d**2 + 4*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/3, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12559, 25112, 37665, 50218, 62771?\nAnswer: 75324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-3 - 10\/(-2)). Let p = 21 - 16. Suppose b = -p*s - 4 + 69. What is the remainder when s is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 5950 and 295.899738.\nAnswer: 6245.899738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -17. Let n = a - -16. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 1 - 0)*5. Let y(c) = c**2 + 5*c - 6. Let s be y(-6). Solve s = 2*k - i - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15390 + 34364. Let t = v + -417533\/22. Find the common denominator of 71\/16 and t.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 5. Let w(q) = q - 4. Let i(g) = -4*l(g) - 5*w(g). Let j(d) = -5. Let h(y) = -6*i(y) + j(y). Let r(x) = 21*x - 18. What is -18*h(m) + 5*r(m)?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 - 2*r. Let y(k) = -2343*k**2 + 30*k - 645. Let o(f) = -15*l(f) - y(f). What is the derivative of o(w) wrt w?\nAnswer: 4596*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 953 = -609. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**4\/6 + 7*z**3\/6 - z**2. Let n = -21126 + 21123. Determine y(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10*i - 1. Let m(c) = 20*c - 2. Calculate 7*l(f) - 4*m(f).\nAnswer: -10*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -17*j + 33. Calculate a(6).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29202*c**2 + 59196*c**2 - 29984*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o)**(-1\/29)\/(o**(-5)*o**(-1\/5)))\/((o**0)**(-44))**5 assuming o is positive.\nAnswer: o**(749\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550254646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 4, u: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 1, g: 2, b: 1, s: 8}. What is prob of picking 1 f and 1 g?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 12\/6 + 4. Let s = -3 - -6. What is the tens digit of (10 + -1)\/s - (-44 - y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 4) to base 12.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*4*(-2)\/(-4). Let g(x) = -2*x - 6. Let u be g(f). What is the first derivative of 2*h - 5*h + u - 4 + 0*h wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 290, 692, 1320, 2288, 3710, 5700, 8372, 11840?\n\"Answer: 19*u**3 - u**2 + 272*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-312))\/(32\/104)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44050 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - 2d?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 42.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/7 - 118*v\/7 - 228\/7 = 0. Calculate v.\nAnswer: -57, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 2:52 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36963, 36977, 36991, 37005?\n\"Answer: 14*j + 36949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*l + 2*x - 3*x, -10 = -3*l - x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 15*n**2 - 566*n + 2480. What is h(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 21 + 19*x - 3*x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 4. Let b be n(4). Let g = -73 - -69. Sort g, 4, b in descending order.\nAnswer: 4, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/(-20) + 0)\/((-3)\/(-135)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -33*q**4\/2 + 957501*q**3\/2 - 3526501893*q**2 + 776660958774*q - 141094507716 = 0.\nAnswer: 2\/11, 227, 14394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4059283 to 2 decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71034*f**3 + f**2 - 35519*f**3 - 35509*f**3.\nAnswer: 6*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986535.\nAnswer: 3, 5, 11, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 483\/3 + (2 - 2). Let o be 32 - 231\/(-11) - -16. Calculate the greatest common divisor of u and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Let p be 2\/(-4)*-2 + -7. Let z = -4 - p. Solve -2*w = -j + z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 50*y - 48*y - 14 - 119, 4*y + l = 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125157155?\nAnswer: 3, 5, 17, 4412381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 - 10.6. Let q = y + 12.8. Let w be 11\/3 - (-4)\/(-6). What is the smallest value in q, -6, w?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 19)*(2*y**4 - y**4 - 2*y**4) - 9*y**4 + 6*y**4 - 5*y**4.\nAnswer: -26*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-250796)\/(-506415) + 5\/21*4\/(-10). Which is the nearest to r? (a) -1 (b) 136 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34*((-8)\/4)\/(-2). Let z = h - 37. Round z to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2252704 divided by 22304.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27.87 - 28. Let z = 7.67 - b. Let i = 7.8049 - z. What is i rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 26*n + 3. Let g be p(17). Let s = g - -161. Let u(v) = -v**3 + 11*v**2 - 2*v - 1. What is u(s)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -851, -3.\nAnswer: -851, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522417 is divided by 261137.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ommfmmmmoffom. What is prob of picking 1 f and 1 o?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = -4*r, -2*y + 4 = 2*r - 16. Let d = y - 10. Suppose -17 = -d*f + 51. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7151929\/2 or -3575965?\nAnswer: -7151929\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*g**2 - 64\/3*g + 80.\nAnswer: 4*(g - 10)*(g - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58222 is divided by 2077?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -5 (b) -0.1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 2)*(-160*l + 9401 - 9401) + (l - 2*l + 4*l)*(3 + 0 + 1) + (2*l - 1 + 1)*(0 - 1 - 1) to j*l + t and give j.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.4395ug in nanograms?\nAnswer: 87439.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-2)\/6*0. Are o and -0.018 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - a + 1. Let s be x(1). Let g be (-25)\/(-425) - (3 + -3)\/1. Do s and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1765.776537s?\nAnswer: 0.0029196040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*k - 15. Does 8 divide k\/(-1)*(3 - 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 5, b: 1, e: 2, v: 4}. What is prob of sequence ss?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -148*((-16)\/(-12) + (-124)\/48). Suppose -6*o + b - 125 = 0. What is the smallest common multiple of o and 394?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 - 44 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -20*b**2 + 5\/2*b**4 - b**5 + 20*b - 10 + 5*b**3. Factor l(h).\nAnswer: -5*(h - 2)*(h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 14. Let i be (-44346)\/228 + 1\/(-2). Let r = 1369\/7 + i. What is the closest to r in -0.3, -5, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-3*n + 2*n - n)*(0 - 1 - 2 + (-4 + 4 - 1)*(-2 - 4 - 1)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 31. Calculate the remainder when (57\/2)\/(-1 + (-63)\/(-54)) is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 248*g + 393*g - 3*g**2 - 145*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6465532.\nAnswer: 2, 317, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -1261*i**2 - 7576*i + 2041. Differentiate o(q) with respect to q.\nAnswer: -2522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 2962.2, 4, -5?\nAnswer: 2962.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 16, -0.2, -1\/3, 0.3, -1188?\nAnswer: -1188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (135\/(-36))\/((-2)\/(-8)). Let m(a) = a**3 + 16*a**2 + 18*a + 40. What is m(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67219 - 3785 - 9*o**2 - 63434.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1111 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/35, -2, 0.56, -3, -0.04 in ascending order.\nAnswer: -3, -2, -9\/35, -0.04, 0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 659 - 655.97. Let g = -0.03 + n. Suppose -3*f - 2*w - 9 = 0, 3 = -f - 3*w - 7. Which is the biggest value? (a) g (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 - 467*s - 928. Calculate k(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by 136.\nAnswer: -53\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43444 + 4?\nAnswer: 43451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1300 and 7010900.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkwk when four letters picked without replacement from {j: 1, k: 2, u: 1, w: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*w = -10. What is the common denominator of w*(-172)\/(-112) + 0 and 73\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 0*g**2 - g**2 + 12*g**2.\nAnswer: 11*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-12)*-4*(-10)\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 + 2*r. Let m(n) = -n**3 + 9*n**2 - 10*n - 1. Let u be m(7). Let x = -24 + u. Let a(k) = -4*k**2 - 3*k. Determine x*l(s) + 2*a(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468370.\nAnswer: 2, 5, 7, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 10*o. Let x be p(-7). Let v be x\/16*2 + -4. Which is smaller: -8 or v?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 + -61. Let j = 1 + 7. What is the remainder when v is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 6)\/(7\/(-35)) - (-8 + 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 6 = -138. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*((-3)\/132)\/(7\/(-84))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 1 - 2)*(-3*y - 4*y - 5*y) - 3*y + 2*y - y)*(5*y + 17*y - 35*y + (5 + 0 - 4)*(-2*y - 2 + 2)) to j*y + k + w*y**2 and give w.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - o = -3*o - 29, -a + 15 = -5*o. Suppose -n = -3*w - 4*n + 597, 3*n + 995 = a*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4631 + 41645\/9. Is m at most -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4236727.\nAnswer: 11, 599, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 10 = -4*z, -y = 4*z - 2*y + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10b + -d2?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48351947239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 1. Let w be l(-2). Let v = -73 + -11. Let p be (-144)\/(-14) + 24\/v. Solve -d + 0*n + 3*n = -2, w*d - p = -n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -461917\/4435 + -42\/887. Is -104 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 43*y + 14*y - 38430 = 0. Calculate the remainder when y is divided by 227.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 9 = -3*r. Suppose -6 = -3*b - t, 6 - 24 = -b + 5*t. Let f be 1\/(2 + -3) - -1. Solve -b*s + 0 - r = f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2708 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-351)*(5 - 11)\/6?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4554540422?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -2\/3, -1\/2, -0.05, -4 in decreasing order.\nAnswer: 1\/3, -0.05, -1\/2, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 16*y = -30000. Round y to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**3 - 1519*q**2 + 2*q + 8. Let k(m) = 2*m**3 + 506*m**2 - m - 3. Give 3*i(p) + 8*k(p).\nAnswer: -2*p**3 - 509*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36039 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 - -64. Let p(l) = 15*l + 31. Let s be p(6). Suppose -4*z + s = -h*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 460\/255853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 144071 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2. Let w(d) = 4*d**2 + 5*d - 2. Let s(t) = -w(t) + 3*x(t). Let p be (5 - 1)*6\/8. Suppose 2*i + 13 = -g, -g + 26 = -5*i - p. Give s(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-12)*95\/190*75?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (9 + -9) - (0 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79519660 = -3*n - 79519276 for n.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54190 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2349 + -2349. What is the closest to 9 in m, -5, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.70098963 rounded to 3 decimal places?\nAnswer: -12.701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 2. Let y be u(0). Suppose -y*s + 12 = s. Let m(d) = 3*d**2 + 4*d + 2. Let l be m(-2). Solve -s - l = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97773746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 193 or 26635?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 27*s**2 - 11*s + 10. Calculate the remainder when 1043 is divided by i(13).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 333809963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0)\/(6\/24). Suppose -5*v + s*k = -126, -v + 3*v - 4*k = 48. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -12, 1\/2, -13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:46 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 546 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53355 (base 6) in base 10?\nAnswer: 7271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 3*s - 4*s - 5 + 2*s + 4. Suppose -4*g + 109 = 17. Suppose -1 + g = 2*p - 4*c, -7 = p + 4*c. What is y(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 340*m**2 - 1676*m - 331. What is t(-335)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 35.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 12:44 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-5) + (-6)\/10 + 1. Suppose -3*z = q*z. Solve -c + j = -0*j - 4, -j - 3 = z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4449 times -194\nAnswer: 863106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-5069)\/111)\/137)\/(1 - 4). Solve -j + 20\/9 + w*j**2 = 0 for j.\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 14 = c. Suppose 0*p = -5*p + 10. What is the closest to c in p, 0.3, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -98. What is the closest to 5 in w, 4, 2, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 5. Let m be x*4\/2*-1. Suppose 4*d = m*f - 9 - 15, 3*d = -3*f + 12. Solve -4*p = -3*o + 18, -f*p - 19 = -0*p - 2*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*k, 2*w - 5*k = w - 31. Let b be (-3)\/w + (-27)\/(-6). Suppose 3*t - b*t + 30 = 0. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2024 and 8?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j + 1 + 5 - 5. Let t be k(2). Suppose 0 = -a - 4*a - 20. Is a at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4756)\/(-6))\/((-28)\/12 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*t = -28, 0 = 3*d + t - 3*t - 116. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 4*v**2 - 5*v. Let h be z(5). Let d be -1 + h + 3\/1. Let j = -2 + d. Which is the third biggest value? (a) -5 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79.38 - 81.38. Let r = -0.1 + 0. What is the biggest value in 0.2, r, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - y + 104. Let o be f(7). Let w(c) = 1. Let r(u) = 5*u + 8. Calculate o*r(v) + 6*w(v).\nAnswer: -5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**4\/24 + 204*j**2 - 1. Let u(t) = 5*t + 3. Let r(m) = -11*m - 7. Let p(v) = 3*r(v) + 7*u(v). Give z(p(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3941, 8364, 13257, 18620, 24453, 30756?\nAnswer: 37529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 592860528 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**6\/420 - o**5\/42 - o**4\/21 + 13*o**2 + o. Let a(f) be the first derivative of l(f). Factor a(g).\nAnswer: -2*g*(g + 1)*(g + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.55 (b) 1\/19 (c) 1573.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 55*z - 13. Let f(o) = -385*o + 85. Calculate -8*f(u) - 55*j(u).\nAnswer: 55*u + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -43. Let z = j - -39. Let p = z - 20.7. Sort -4, 5, p in descending order.\nAnswer: 5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 401020031413 + 4?\nAnswer: 401020031422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 17*z**2 - 60*z**2 + 23*z**2 + 21*z**2 + 20*z - 159. Let i be g(-26). Let w(p) = -p - 5. What is w(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 4*t - 16, -11*t + 5*v = -14*t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1080628.\nAnswer: 3\/1080628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171949.\nAnswer: 107, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a. Let r(u) = -6*u - 21 + 21. Determine t(r(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22571230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q**3\/4 + q**2\/2 - 19*q\/4 + 5\/2 = 0.\nAnswer: -2, 5\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 + -42333?\nAnswer: -42212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 0.5, 1170, -110 in decreasing order.\nAnswer: 1170, 0.5, 3\/8, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - 75. Let j be (16\/(-12))\/d*144\/2. Suppose 0*g - 4*g = -j. Is 24 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 186 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = 3*m - g, 3*m - g = m + 269. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 - 83. Suppose 0 = 3*c - w - 13, -k*w - 2 = -5*c + 13. Suppose c + 0 = 2*p. Solve -o + 4 = -z + p*o, 3 = 3*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - z**2 + z + 1. Let y be l(0). Let x be (4\/(-20))\/((-56)\/10). Let s = 13\/28 - x. Which is the closest to -2\/7? (a) y (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axnukaxundnx. What is prob of sequence uxd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18182452.1063 and 11.77.\nAnswer: -18182440.3363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126225?\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1167488 and 25984?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 115156 or 116387?\nAnswer: 116387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 192586\/132 + 4\/(-6). Let u be (-1 - (0 + 1462)) + 6. Let p = d + u. Find the common denominator of p and 77\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 64038317, 128076635, 192114953, 256153271, 320191589, 384229907?\n\"Answer: 64038318*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/49374 and -13\/5643.\nAnswer: 30957498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z + 0*z)*(-3 - 2*z + 3) - 2*z**2 + 2*z**2 + 3*z**2 - 11*z**2 + 17969 + z**2 - 18009 + 6*z**2 - 2*z**2 - 3*z**2.\nAnswer: -10*z**2 - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 3 + ((-15)\/4 - -2). Let t = 7 + -7.25. Let h = -0.15 - t. Which is the nearest to h? (a) l (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 127782 minus 1271?\nAnswer: 126511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -16*r**3 + 677*r**2 - 55*r + 10. Let u(i) = 3*i**3 - 124*i**2 + 11*i - 2. Let t(x) = 2*k(x) + 11*u(x). Let n = 24 + -15. Give t(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfilbkkiklliibikffii. Give prob of sequence ibli.\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*t**3*z - 200988*t**3 + 55*t**2*z + 2*t*z wrt z?\nAnswer: 23*t**3 + 55*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74827?\nAnswer: 74827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21145639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 (base 11) in base 9?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose -13 = l*r + 3. Let d = 5 - r. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2 + 33*w + 36 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.3? (a) 56 (b) -86 (c) 2\/15 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 634984271 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q + q + 22*q + (q + 0*q - 7*q)*(0 + 0 - 2).\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58855?\nAnswer: 5, 79, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(112))\/(sqrt(576)\/sqrt(9)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -320135534 (base 6) to base 7\nAnswer: -65461354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.095991*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 18 = 4*t. Let d(u) = 2*u**3 + 1. Let y be d(1). Let o be (y\/(-1))\/((-66)\/t). What is the second biggest value in -1, o, 4\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1271*f = 1245*f + 29016. Calculate the remainder when f is divided by 74.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1815 and 210.\nAnswer: 25410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0199994206 rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t + 614*t = 3912 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 21*n + 44. Let q be b(14). Suppose -19*l + 13*l + q = 0. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 41*g - 820. Is s(92) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -168 - -172. What is the third derivative of i**3 - 20 + 2*i**2 - p - 38 - 16*i**4 + 18 wrt i?\nAnswer: -384*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -456*z + 3114. List the prime factors of w(-9).\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a decade in months?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmmmppmmmmmpp.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -1, -2.7, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23219566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-30)*2825*156\/(-351)*45\/(-50).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -103.\nAnswer: 5\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 169*t**2 + 478*t - 1118. Determine w(-166).\nAnswer: 2202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -34, -5 in decreasing order.\nAnswer: -3, -4, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5*v - 24*a**4*v + 15*a**3 + 10949*a**2*v wrt a.\nAnswer: 60*a**2*v - 576*a*v + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836 (base 16) to base 2.\nAnswer: 100000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:18 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 834 + -831. Solve h + q*j - 12 = 0, -1 = -j + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25\/2 - 12. Let y = 17 - 18. What is the third smallest value in h, -4\/7, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**4\/24 - k**3\/2 - 2*k**2. Let n be a(-8). Let l(c) = -2*c**3 - 4 - 2*c + c**3 + 6*c**2 - 2. Determine l(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 - -308. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g = -2*a + 43, -2*a + 5*g + 83 = 0. Suppose w + 5*d = -0*w + 10, -d + a = 2*w. Let z = w - -42. List the prime factors of z.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 2. Let a be (80\/15)\/1*-3. Let c be o(a). Is 4 a factor of (1 - c)\/((-5)\/4)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.056 + -1.006. Let f = p + 0.85. What is the nearest to f in 4, -0.06, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39539*z + 157495*z**3 - 157563*z**3 + 39539*z.\nAnswer: -68*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.39 (b) 2074 (c) 0.872\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25082 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: Simplify (2 + -1*sqrt(153))**2 + 3*(1*sqrt(153))\/sqrt(9).\nAnswer: -9*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 762850\/1503 + -4568\/9. Is b bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y**2 - 3*y + 1. Let u(r) = 10*r**2 + 4*r - 1. Give 3*u(g) + 4*v(g).\nAnswer: -6*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1806\/28)\/(28\/(616\/(-33)))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o - 12 = 0. Suppose 0 = o*q - 2*q - 6400. What is q rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*(-4)\/(-6) + 0. Let d = -10 - -14. Solve 0*i + n = d*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**3\/3 + o**2\/2 - o - 6790. Suppose -y + 2*k = 2*y + 13, y + 5*k - 7 = 0. Give p(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221 - -330. What is the remainder when 215 is divided by o?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 110556082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 12 + 48*n + 11*n**2 - 37*n + n**3 + 2. What are the prime factors of c(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 l when three letters picked without replacement from arfvallllfhhhhhll?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1525471 to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5.3. Let z = -0.2 - q. Let c = -0.1 - z. Is -1 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -33680*p**2 + 11*p - 56. Let r be t(-24). Round r to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-3)*(-132)\/22.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24350*b**2*h**2 + 2*b**2*h + 2*b*h + 2*h**2 + 5972 wrt h.\nAnswer: 48700*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51 - -36) + 28\/1. Put -3, y, 0 in decreasing order.\nAnswer: y, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkmn when four letters picked without replacement from {m: 2, k: 1, i: 2, n: 1, x: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let z(s) = 2*s + 4. Let a(k) = 4*q(k) + z(k). Let i be a(2). Suppose i = 9*m - 22 - 338. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146788, 293576, 440364, 587152?\nAnswer: 733940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*u**3 + 29*u**3 + 104*u**4 - 109*u**4 + 2*u + 2 - u**2 to the form o*u + q + p*u**4 + t*u**3 + x*u**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 373 - 376. Which is the nearest to 0? (a) 1\/7 (b) -0.05 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1627 + -1630. Suppose 11 = -5*p - 9. Let a(m) = -3*m + 6*m**2 + 0*m + 0*m**2 - m**2. Let v(g) = -4*g**2 + 2*g. What is p*v(r) + y*a(r)?\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 5*v + 2*v**3)*(-243 + 17 + 35) + 0*v**3 + v**3 + 0*v**3.\nAnswer: -381*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60846857 divided by -3?\nAnswer: -60846857\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 849\nAnswer: 339.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 1 + sqrt(75)*-2)**2.\nAnswer: -10*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*s = -4*b + 9, -1 = -s. Suppose -a - a + 6 = 0. Suppose -d - 3*d + 2*f = -b, f + a = 3*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 + 119?\nAnswer: d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317023?\nAnswer: 7, 45289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/3*1\/2. Suppose -64 = -4*u - z*u. What is the lowest common multiple of 1 + -1 + (-20)\/(-2) and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 8:53 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 4, -0.3, -50, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13\/(-182))\/(((-4)\/14)\/(72\/42)). Determine r so that -6\/7*r**2 + 3\/7*r**3 + 6\/7 - x*r = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*k**3 + 161*k**3 - 6*k**2 - k - 82*k**3 + 1 in the form r*k**3 + x*k**2 + c*k + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -32 and 2.609?\nAnswer: 34.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u**2 - 16. Calculate k(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1223301 + 125?\nAnswer: 1223426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 8*c. Suppose 6*t - 3*t + 6 = c. Put t, -1, -3 in descending order.\nAnswer: -1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21261040.\nAnswer: 2, 5, 31, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t - 7 + 7)*((-5 + 5 - t)*(-3 + 1 + 1) + 2 + 11*t - 2).\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = 4*z - 15, -3*i = -3*z. Let c(q) = q**3 - 5*q**2 - 3*q - 2. Give c(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t - 2563*t**2 + 2563*t**2 + 368*t**4 + (4*t + t**2 - 4*t)*(t**2 + t**2 + 0*t**2) + 2*t**4 + 4*t**2 - 4*t**2.\nAnswer: 372*t**4 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 20 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**5\/20 - 5*z**4\/6 - 7*z**3\/3 + 5*z**2 - 224*z. What is n(11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.25 + 17.75. Round s to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47975?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10933.2 rounded to the nearest 100?\nAnswer: -10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1153450 (base 6) to base 9.\nAnswer: 103613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from czttzatazj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 4975 (c) -2\/5 (d) 0 (e) -0.5 (f) 15\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 50 - ((70 + -26 - 11) + -56)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 3\/2*h**2 + 1\/6*h**4 - 11\/12*h**3 + 1\/40*h**5 - 27*h + 0. Determine g so that t(g) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165454.448 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57631 - 57631 + 7*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44824711 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/37 - (-136 - -134)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 2, q: 2, t: 13}. What is prob of picking 2 k?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.4 and -0.043?\nAnswer: 0.1892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p + 12. Determine j(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 91*h**3 + 2*h**2 + 14*h + 13. Let d(l) = -46*l**3 - l**2 - 8*l - 7. Let x(q) = -9*d(q) - 5*n(q). Give x(1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 106, 98, 90, 82, 74, 66?\n\"Answer: -8*u + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 19. Let l be t(-7). Suppose 4*w - 2*s = 1498, 7*w - 2*w - 1873 = l*s. Suppose m = -c + 147, 0 = 4*m - c - 238 - w. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 8 - 8. Let z be j(-5). Let d = z + -3. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**3 - 356*j**2 - 5596*j - 5244 = 0.\nAnswer: -69, -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 543.451 minus 0.5?\nAnswer: 542.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-2)\/3)\/1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -110 (b) 0.4 (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37768.4 minus 0.2?\nAnswer: -37768.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1223969, 1223962, 1223955?\nAnswer: 1223948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2685134045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -527 + 179. What are the prime factors of (-2)\/(-11) - c\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p - 4 = 0. Let h(q) be the third derivative of q**5\/60 - q**4\/24 + q**3\/6 + 798*q**2 + q. Calculate h(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12358 divided by 1\nAnswer: -12358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 96?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -2 (c) 0.5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crrrc. Give prob of sequence rccr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17611 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1875290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7181177021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/172608 and -121\/129456.\nAnswer: 517824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 681315587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/120 and -53\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7 + 2452)*(4 + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/sqrt(768).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*z - 0*z. Suppose 0 = 2*k - r - r - 12, k + r - z = 0. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -839 + 836 = -3*i, -4*j = -4*i + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -510, -2017, -4526, -8037, -12550?\n\"Answer: -501*h**2 - 4*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6597 and 0.19?\nAnswer: -0.125343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + -9 + 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180 is divided by 587.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 567, 218, -1913, -6708, -15049, -27818?\nAnswer: -45897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -17*v - 7. Let p(j) = 32*j + 13. Determine -6*p(f) - 11*s(f).\nAnswer: -5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -119*x + 11. Let d(r) = 94*r - 10. Give -4*d(k) - 3*l(k).\nAnswer: -19*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 + 12*f - 11*f - f.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.98 - -1. Let n = -0.15 + l. Let j = n - -0.23. Which is the closest to 1\/4? (a) 1 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -14. Calculate the highest common factor of 10 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.05, -60, 0.34, 3, 4, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/2 + -3)\/1. Suppose -a + p + 15 = 0, g = -7*p + 2*p - 20. Suppose -5*k + 8 + 5 = 3*n, 0 = -n - 2*k + 3. Are a and n non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)\/(u\/u**5))**(3\/5) assuming u is positive.\nAnswer: u**(78\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1890000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -70.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000056605 rounded to 6 decimal places?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 7 = 4*l. Suppose 0 = -4*f - 4*c + 24, 6 = 3*c - 6. Let y(w) = 2*w**2 + w - 1. Let b(n) = -n**2 + 1. Let q(r) = f*y(r) + l*b(r). Determine q(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11665, 29524, 47383, 65242, 83101, 100960?\nAnswer: 118819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72737701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 2*u - 2 - 103*u**3 + 104*u**3 - 4*u**2 + u**4 to the form v*u**4 + q*u**3 + x*u + o*u**2 + k and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - o - 15 = 0, 0 = z + 6*o - 2*o + 15. Let m be 16\/5 + 3\/z. Differentiate -i**m - 4 + 1 - 2*i**3 wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29349490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 50590*u**2 + 319842614*u - 959983206.\nAnswer: 2*(u - 3)*(u + 12649)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*2*(-4)\/(-16))\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*f**2*n*x + 33382*f*t + 265*n*t*x + 47*n*t - t*x with respect to f.\nAnswer: -18*f*n*x + 33382*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3748874354651533 + -56649127906908633578887\/15110970. Let p = n + -37\/45930. Let g = p + -30\/47. Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -508417, -508433, -508449, -508465, -508481, -508497?\n\"Answer: -16*p - 508401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786929614 is divided by 396?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 8.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-5)\/(25\/55))*(-4)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0112373711 rounded to four dps?\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 20. Suppose 4*s - 13 = y. Differentiate -1 - 2 + s*d**3 - 4*d**3 wrt d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 70 (b) 1\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, l: 5}. What is prob of sequence llk?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 771941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-126))\/(-15 + 680\/45). Find w, given that 2\/7*w**2 + 0*w + 1\/7*w**5 + 0 - p*w**4 - 1\/7*w**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1007 - 993. Solve -t - p = -4*z, -4*z - 4*t - 5 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 600892 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -23*w**6\/10 + 55*w**3\/3 + 51*w - 87. Let n(i) be the first derivative of g(i). Find the second derivative of n(x) wrt x.\nAnswer: -828*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04 + -0.14. Let f = 103 - -11. Let n = f + -114. Which is the nearest to n? (a) r (b) -17 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q + 13. Let a(y) = y - 3. Let n(t) = -4*t + 2. Let i = -14 - -15. Let l be n(i). Calculate l*v(u) - 9*a(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25342056 is divided by 139?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -17049580700 to the nearest one million.\nAnswer: -17050000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = 2*g + 11, -44 = -6*r + 5*g. Solve 28 = 3*v - 7*v - 4*m, r*v - 4*m = 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j = 9532 - 9312 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (280\/70)\/(2\/(-1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 14 + 7. Differentiate q + 7*r**4 + 31*r**3 - 31*r**3 wrt r.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42bba - -2?\nAnswer: -42bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*s = 6*g + 639, -s + 131 = -g. Let d = 150 + g. Let a(j) = 19*j + 4. Calculate the remainder when a(3) is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - h + 168. Suppose -40 = -12*l + 2*l. Suppose 3*c = 2*m - 3, m = -2*c + l*c + 2. List the prime factors of r(m).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, q: 3}. Give prob of picking 1 k and 2 q.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12036 divided by -3\nAnswer: 4012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlpv when four letters picked without replacement from {d: 1, k: 2, p: 1, i: 2, l: 1, v: 1}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 54, 63, 52, 15, -54, -161, -312?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91320 or 0.2?\nAnswer: -91320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*j + (-2 + j + 2)*(3 - 3 - 1) + (j - 10*j + 4*j)*(4 + 0 + 1))*(-j - 1 + 1).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -353692390+-9\nAnswer: -353692399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*p + 81*p + 45. Let i be -4 - (p - -1) - -19. Which is bigger: 22 or i?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 35*x + 63. Let w be m(-14). Let o be (-50)\/w - ((-4 - -5) + 0). Which is the closest to 0? (a) -1 (b) -12 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -17*o**3 - 4*o + 5. Let c(d) = -19*d**3 + 2*d**3 + 11 - 6*d - d - 16*d**3. Let r(q) = 4*c(q) - 7*p(q). Differentiate r(l) with respect to l.\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 402 and 146462?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5113440 greater than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -4*p + 3*z, 5*z - 6 = -26. Suppose 2*u - 5 = -2*m + 1, -p = -m + 4*u. Sort m, 2, 10, -3 in descending order.\nAnswer: 10, m, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-20)*(-248 - -183). Solve 8*q - z = 17 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.5 - 72.5. Let r = 59 + f. Which is the closest to 1\/4? (a) 0.2 (b) r (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 11:57 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/9 - 1613590*q**2\/9 - 1613584*q\/9 + 3227176\/9 = 0. Calculate q.\nAnswer: -806794, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 22 + (-9)\/(-3). Suppose 2*f + 0*o + 2*o - 72 = 0, -2*o = -f + k. Suppose 9*a - f = a. Solve 0 = 4*x - 2*y - 12, -x + 3*y + a = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.805 - -91.805. What is the second biggest value in -0.1, b, 4\/7, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812\/155 < -0.0091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - (3 + -13 + 13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2 + 4. Let g be 38\/t + (-4)\/3. Suppose 5*d - 4*d = 13. Solve -1 = -3*y - 4*w + 10, g*w = -4*y + d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31933 is divided by 793.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21891 - 2056. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-15)\/a*a*a)\/a**(1\/24))**(2\/49) assuming a is positive.\nAnswer: a**(-313\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 3057*q + 687727. Determine w(-199).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3 - 28*n**2 - 574*n + 600 = 0.\nAnswer: -12, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66251935*o**2 + 5*o + 89539425.\nAnswer: -132503870*o + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 0*d, -m + 3*d = 0. Suppose s + 4*s = m. What is the units digit of -1 + 5 + 1 + s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 39, 81, 133, 189, 243, 289, 321?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125044599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 + 19*l + 1. What is b(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -2.13.\nAnswer: 2.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222042 (base 6) to base 11.\nAnswer: -12a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**4 - 43744*b**3 - 123735768*b**2 - 22486873120*b - 271513997092 = 0.\nAnswer: -5371, -181, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**8\/216 - 34*b**7\/315 + 77*b**6\/135 - 191*b**5\/135 + 71*b**4\/36 - 44*b**3\/27 + 2025*b**2. Solve w(h) = 0 for h.\nAnswer: 4\/7, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 324112181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 25*i**5\/2 - 108235*i**4\/2 + 259641*i**3\/2 - 90869*i**2\/2 + 4327*i = 0.\nAnswer: 0, 1\/5, 2, 4327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 38*j**2. Suppose -5*f = -15, 0 = -3*u - f + 4*f + 45. Let g(p) = -u*p**2 - 16*p**2 + 36*p**2. What is g(m(w))?\nAnswer: 2888*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8807444*z**3 - 227*z**2 + z - 141 wrt z?\nAnswer: 52844664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 8:04 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from xxcxxcxhxccxnxxzh.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23013303113 (base 4) in base 8?\nAnswer: -13076327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.102626 and 0.9?\nAnswer: -0.0923634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.476 + -0.024. Let z = -2999 - -2996. Which is the smallest value? (a) 24 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 35068*k**2 + 76807660*k - 230738700.\nAnswer: 4*(k - 3)*(k + 4385)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -135. Suppose 2*j - z + 10 = 0. Solve -j = 4*s - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(6)\/sqrt(72)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 3*z + 2. Suppose 3*g = 4*v + 14, -3*g + 0 - 2 = 4*v. Determine i(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2*q**3\/3 + 3*q + 3. Suppose 3*p = 7*p + 20. Is j(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 30*b - 4*p - 368 = 0, 3*p + 294 = 4*b. Let y(d) = -d**2 - 18*d - 36. Let q be y(-12). Calculate the highest common divisor of b and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(72))*5*1 + -4)**2.\nAnswer: 60*sqrt(2) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -17*q - 23. Suppose 2*p - h - 133 = 66, -3*h = q*p - 492. What is the greatest common divisor of p and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2001448 and 188.\nAnswer: 2001448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2. Suppose 4 = -13*h - 9. Let i(j) = -j**2 + 3. Let g(u) = -4*u**2 - 24. Let s(c) = h*g(c) - 3*i(c). Calculate s(t(n)).\nAnswer: 28*n**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*b + 213 - 18 + 81 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12357, -49424, -111209, -197718, -308957, -444932, -605649?\nAnswer: -791114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.1 (b) -1\/11 (c) -0.002 (d) -38\/17 (e) -0.2 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7038, 7028, 6994, 6924, 6806, 6628, 6378?\nAnswer: 6044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131.1 - -131. Let t be 3\/6 + 12\/6. Which is the closest to -0.1? (a) 2 (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*h + 3*s - 26, 22 = 4*h + s. Suppose 51 = h*a - 14. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 30 = -42. Suppose -100 = -b - z. List the prime factors of b.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4\/15 - 212*v**3\/15 + 514*v**2 - 4080*v.\nAnswer: -2*v*(v - 15)**2*(v + 136)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 353 + 711 - 353. What is k(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*b - 292 = -6*t, -3*t + 216 = 3*b. What is the remainder when 227 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18+2396.543\nAnswer: 2378.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99698978.\nAnswer: 2, 49849489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 3. Let f = u - -17. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 3, -4, -1 in descending order.\nAnswer: 3, -1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -60, -74, -102, -150, -224, -330, -474, -662?\n\"Answer: -a**3 - a**2 - 4*a - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 34459000 to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 11*o**2 - o + 24. Suppose 103*t - 51*t + 30 = 49*t. Calculate r(t).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 16 = -g. Let h(u) = -u**2 + 11*u - 25. Let q be h(5). Differentiate 7*w**g + q*w**4 - 24 + 3*w**4 - 3*w**4 wrt w.\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f + 70. Let w be j(-9). Suppose -w*v + 36 = -16*v. Sort 0, 5, -1, v in descending order.\nAnswer: 5, 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 3, 95, -0.1?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/107 and 20\/10909?\nAnswer: 1167263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 11*h - 770 = 0. Let s = h + 134. Calculate the remainder when 118 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.08, -4\/11, -3 in descending order.\nAnswer: 2, -0.08, -4\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 304212.6 days in minutes?\nAnswer: 438066144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as 3\/224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 39*a**2 + 126*a - 7. Does 7 divide j(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**3 + 40991820*s**2 - 245950812*s + 368926164 = 0.\nAnswer: 3, 10247949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83.8 + -84. What is the third smallest value in p, -0.05, -2\/7, 2\/9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 + -3c?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 6 = -2*j, 5*j + h = 6*h - 45 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47897 is divided by 11910.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/5160 and 1\/47988.\nAnswer: 479880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 636, 0, 11, 7 in ascending order.\nAnswer: 0, 2, 6, 7, 11, 636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2. Let i(n) be the first derivative of -3*n**2\/2 - 184. Calculate s(i(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l. Let o(k) = -5*k. Let i(g) = -350*g. Let y(s) = i(s) - 75*o(s). Calculate y(w(q)).\nAnswer: 275*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d - r - 4*r, -3*r = 0. Suppose -3*b - 1105 = -6*b - d*h, -h = -4*b + 1488. Let u(j) = -j**2 + 371*j - b*j. Let c(o) = 2*o. Give c(u(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 89. What is the tens digit of z\/6*(-12)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15353\/4 greater than 3837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + 20 + -13 + -19.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tut when three letters picked without replacement from ccuctcuctutu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*-1)\/(10\/(-25)). Suppose 5*n - 6*n - 32 = 0. Let p = -27 - n. Is p >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 283 in -0.39, -2, 4, -1\/5, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9546 is divided by 328.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((70*y**2 - 513*y**2 - 1680*y**2)*(0 - 3 + 1) + 7*y**2 - 2*y**2 - 3*y**2)*(-1 + 1 + 2*y).\nAnswer: 8496*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/121)*o**(1\/25)*o**(4\/7)\/o**(-3\/31))**(-17) assuming o is positive.\nAnswer: o**(-7718544\/656425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00745883 rounded to four decimal places?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p + 1. Let f(w) = -18*w**3 + 4*w**2 - 6*w + 5. What is -f(k) + 6*x(k)?\nAnswer: 18*k**3 + 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -576*x**2. Let o(w) = -22*w. Calculate n(o(d)).\nAnswer: -278784*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.3181 + -0.3181. Put -1, 0.1, 0.3, -555, f in descending order.\nAnswer: f, 0.3, 0.1, -1, -555","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 5:56 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 220201124 (base 5) to base 16\nAnswer: e672a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 20894730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:53 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1075 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92028129 is divided by 491.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 7020?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90341737.288906638358 + 211.188749638358. Let g = 90341143.1 + n. Let p = g - -383. What is p rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78772\/99 - -8750\/11. Let n be (2\/(-2 - 0))\/(-1). What is the nearest to -2\/5 in f, n, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8259.712 nanoseconds in seconds?\nAnswer: 0.000008259712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6267400 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -2*m + 6. Let i be (-8)\/m + (-28)\/(-13). Suppose -i*y = -y - 5. Solve 13 + 12 = -y*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 7*j + 7*j. Let a(z) = z**2 - 9*z + 3. Let u be a(9). Let y(o) = -2*o + o + u*o. Calculate t(y(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(3 + sqrt(72)) - (3*2*sqrt(72))**2) + 0 + -1.\nAnswer: -2585 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26499 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7042958?\nAnswer: 2, 13, 19, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -1\/4*h**4 + 3\/2*h**2 + 0*h**3 - 3 + 0*h. What is the second derivative of i(d) wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 8, y: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8595451123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {i: 7, a: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((64\/54)\/4)\/(59*166\/44073).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2. Suppose -2*p + 4 = -2*h, -3*h - 3*p = -p + 16. Calculate the least common multiple of (-3)\/h + 18\/8 and c(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 11*i = 38. Suppose -i = -2*n + 42. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(3\/13)*l)\/l*l))\/l**(1\/4)*l**(4\/11)\/l**5 assuming l is positive.\nAnswer: l**(-2927\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 32*v**2 + 20*v + 173. What are the prime factors of g(-10)?\nAnswer: 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13955*i + 521*i**2 - 13955*i)*(7*i - 2*i - 3*i) - i**3 + 0*i**3 + 3*i**3 + (-i**2 + 2*i**2 - 2*i**2)*(-2*i + 0*i + i).\nAnswer: 1045*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 - 237. What is y rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o**2 - 2. Let t be (40 + -39)\/(1\/4). Let b(d) = -9*d**2 + 3. What is t*b(h) + 6*n(h)?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -2 + (-10)\/(-2). Let v be c\/8*(1 + -1). Suppose v*h + h = 0. Which is bigger: h or -1\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25555 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: Solve -122*r + 143*r + 105 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-28))\/((-1)\/40). Put -1, -4, p in decreasing order.\nAnswer: -1, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1464 and 36?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -40*4\/(-8) - -2. Let s = -20 + r. Find the second derivative of -9*v + 2*v**2 + 10*v - 16*v**s wrt v.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12599042 to the power of 1\/2, to the nearest integer?\nAnswer: 3550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11350*f**2 + 54*f - 2. Does 7 divide b(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (8 - (3 - 4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**7\/21 - 9*f**6\/5 + f**4\/12 + 229*f**2\/2 + 835*f. What is the third derivative of h(j) wrt j?\nAnswer: 120*j**2 - 1296*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 9 = 10. Suppose i + 3*i + 16 = 4*p, -p = 2*i - s. List the prime factors of (988\/39)\/(2\/p).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 3}. Give prob of sequence uu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14166436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1835258*g**5 - 144683*g + 2?\nAnswer: 36705160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39407549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 16 - 16 + 3915*z**2 + 8*z - 2935*z**2 in the form w + c*z + i*z**2 and give i.\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 342, 899, 1414, 1869, 2246, 2527, 2694?\n\"Answer: -3*u**3 - 3*u**2 + 587*u - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 2*q**7\/35 - 19*q**5\/60 + 2*q**2. Find the third derivative of d(p) wrt p.\nAnswer: 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8791 (base 10) in base 9?\nAnswer: 13047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674, -617, -558, -497, -434, -369?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31 and -27.9?\nAnswer: 8.649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4880107?\nAnswer: 41, 119027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*v**5\/3 + 265*v**4\/3 + 440*v**3\/3 + 80*v**2\/3 = 0. Calculate v.\nAnswer: -1, -4\/19, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/(-10)*-25\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4 - (8 + -4) - 5) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/558 and 187\/30.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 3*t - 10, -2*g + 11 = 6*t - 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + c**2 + c + 14. Calculate the least common multiple of 16 and r(0).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -41*u**2 + 11*u - 10. Let r(l) = 41*l**2 - 10*l + 9. Let a(g) = 7*r(g) + 6*v(g). What is the second derivative of a(y) wrt y?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**5\/120 + c**4\/48 - c**3\/6 + c**2 + c. Let v(t) be the first derivative of f(t). Factor v(z).\nAnswer: (z - 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46)\/(-23)*(-755032)\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 19. Suppose c = -11*c + 180. Let u = c - o. Solve 5*j = -3*b - 18, 7*j - 2*b = 4*j - u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.8688 to 1 dp.\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -350, -543, -736, -929, -1122?\nAnswer: -1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 146\/(-738) - 106*5\/21730.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/(172\/((-179568)\/638))\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*i + 7 - 7*i**2 - 10*i - 2*i**2 - 8 as h*i + m*i**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*g**3 + 8*g - 20*g**2 + 3*g**4 - g**3 - 10*g**4 + g**5.\nAnswer: g*(g - 2)**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:06 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 22 = 3*j. Let v(t) = t**3 + 59. What is the units digit of v(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7741*i + 54339. What is x(-7)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*s + 84 = 574*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/2))**(-5)*(r**(2\/5)\/r)**25*((r**3*r*r)**(-4\/5))**(-27\/4) assuming r is positive.\nAnswer: r**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -477*x + 474*x - d + 9, -13*x + d = -10*x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o + 3. Let t(c) = c**2 - 137. Give t(u(j)).\nAnswer: 49*j**2 + 42*j - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*q - z, 2*q + 3*z = -5 + 23. Let c be (q + -2 + -2)*18\/(-3). Suppose -4 = c*p - 2*p, 0 = 2*i - 2*p + 3358. Round i to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 452.3 - 452. What is the biggest value in -1\/4, -2\/11, -33, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*k - 3*l - 12, 15 = 3*l. Solve -10 = -0*v - k*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -30*k**2 - 23*k - 10. Let g(j) = 31*j**2 + 23*j + 8. Let q(u) = -5*g(u) - 4*v(u). Find the second derivative of q(y) wrt y.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 429\/(-399))*(470\/(-25) + 19)?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - v**3 + 0*v + (-5*v + 6*v + 0*v)*(-2*v**2 + 0*v**2 + 0*v**2) + 30*v**3 + 30*v**3 - 28*v**3 to the form h*v + z*v**2 + a*v**3 + o and give a.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 10*j**2 + 8*j + 19. Let b be d(11). Let y be (-12)\/b + -1 - (-3128)\/238. Solve -w - 7*v + 3*v = -y, -3*w - v = 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 7. Let o be t(-6). Suppose 5*d = 3*h - 458, 14*d - 15*d + 580 = 4*h. Suppose h = o*b - 489. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -2\/19 (b) 3 (c) -28 (d) -0.5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from sluhaasu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 3\/4 (c) 1\/28 (d) -0.4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 2. Suppose -i = -3*h - 12. Is 3*((-16)\/h + -2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*c = 35, -7*c + 10 = -2*c. Which is smaller: m or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*n - 4*j - 2003 = -2747, 4*n + 44 = -4*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 97 divided by 2262326\nAnswer: 97\/2262326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59536 by 4.\nAnswer: 14884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1216))**2 + (sqrt(19) - (sqrt(684) + -1 - sqrt(684))) - (sqrt(19)*1 + 1 - (4 + -3 + sqrt(19))).\nAnswer: sqrt(19) + 43777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 32*r - 30*r + 13, y + 4*r + 7 = 0 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-158104.\nAnswer: 790520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 267*f + 244*f**2 - 1772*f - 59 + 110*f**2 + 52*f**2 + 61 wrt f?\nAnswer: 812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4\/9, -0.5, 10, 3.8, -2\/5, -0.02?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 3. Let m be -2 + -2 + 4 + 12. Suppose -28 = -4*u - m. Solve -b + i = u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20033255 (base 6) in base 14?\nAnswer: 109a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n + 8264928 = 2734655 - 3374776. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 - -6.87. Let w = g - 7.04. Let t = -0.14 - w. Is -1 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 + 17459284.\nAnswer: 17459308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135149 and 660030?\nAnswer: 3143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) 0.1 (c) -131 (d) -2\/21 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 36*y - 76*y - 4 + 39*y. Let h be (-1 - (-27)\/33) + 4\/22. Calculate f(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2*f = -8. Suppose -5*a - 2*o + 409 = 55, -f*o - 136 = -2*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 8, -1\/7, -24?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -141\/5 (c) -5\/2 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 334.1 - 334. What is the smallest value in 22, 1\/3, 0, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*c - 36174, -4*c + 3*p - 15059 = 21107. Let q = 17462 + c. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12096836.\nAnswer: 2, 3024209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpq when three letters picked without replacement from pcxqq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 - 90*s**2 + 90*s**2.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -1 - 63. What is the greatest common factor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23496, -46998, -70498, -93996, -117492, -140986?\nAnswer: -164478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 32. Suppose 38 = 5*g - 2*f, 18 = g - f - 2*f. What is the smallest common multiple of 14 and c(g)?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*m**5 + m**5 + 8*m**2 - 10*m**2 wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(11)*-3*1).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 5*x - 3. Let w be k(-3). Suppose 5*i - 80 = -5*b, 0 = w*b - 6*i + i - 24. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3719 - -11156\/3. Let b = -127 + 132. What is the fourth biggest value in -0.1, j, 1\/12, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7460 - -7459.7. What is the closest to o in 3\/2, 4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -711 + 739.9. Let z = t + -29. Let p = 7\/85 - -2\/17. Which is the nearest to p? (a) z (b) -0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:07 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6230 - 6179. What is the highest common factor of g and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(sqrt(108) - (2 + (sqrt(108) - (sqrt(108) + 0)))) - 1*((-2*sqrt(108) - sqrt(108))*-3 + (sqrt(108)*1)**2 + -3).\nAnswer: -129 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k - 24. What is the smallest common multiple of 27 and a(4)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + h + 66. Let n be v(0). Let t be 14\/(-56) - n\/(-8). Solve -t = -5*m - 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 48*c - 42. Determine q(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1403*r**2 - 399*r + 402*r + 1613*r**2 to the form i*r + q + s*r**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/2796 and 95\/3108.\nAnswer: 724164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/((sqrt(48) - sqrt(192) - sqrt(12) - sqrt(12)) + sqrt(12)) + -4 + (sqrt(245) - (sqrt(245)*3 - sqrt(245)))**2.\nAnswer: -sqrt(5)\/3 + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(272) - sqrt(272)) + sqrt(272))*-3 + -2*sqrt(272)*5)**2 + -4.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111000 + 11110100?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13516*k + 3100*k + 1641*k.\nAnswer: 18257*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 18 = -4*k + 3*c, 5*c = 4*k - 29 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 = -21*g - 0*g. Calculate the highest common factor of 189 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1147554 divided by 7263.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -259*b + 124*b + 69*b - 394*b as j + x*b and give x.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -248, -576, -1040, -1640?\nAnswer: -2376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4335003 (base 6) to base 10\nAnswer: 214923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjttt. What is prob of sequence tjy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-6) + (-3)\/9. Suppose 2*j + 2*h = 4*j - 2, w*j + 5*h - 45 = 0. Is j > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(11\/((-66)\/9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -729*k + 193*k + 916*k.\nAnswer: 380*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3666*j - 10 = -3676*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + (5 + 47 - 18).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from qhovhhhhvvwofoovhf.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 2*d**2 + 106. Let k be a(0). Suppose k = 18*i + 34. Solve -32 = i*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 32*d + 2. Let t(i) = -9*i - 1. Let l(c) = -2*k(c) - 7*t(c). Suppose 0*g = -5*g + 125. Let q be 5*5\/(g\/6). What is l(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -684 (b) -0.7 (c) -11\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 6\/24 + 110\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 3186?\nAnswer: 1\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2730 and 57957900.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180*c**2*t**4 - c**2*t**3 - 3*c**2 + 3*c*t**2 - 217*c + t**3 wrt t?\nAnswer: 4320*c**2*t - 6*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 10071\nAnswer: 2\/10071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 196\/21 - 10\/(-15). Solve a*i - 8 = 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**2 - 627*l + 38850 = 0?\nAnswer: -259, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3819*v - 76 = -3815*v + q, -5*v = 6*q + 114 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/6*(-6)\/4*-17 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14560 or 13308?\nAnswer: 14560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (6 - 6 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 y, and 1 q when four letters picked without replacement from fsqqyqqqqyqqqfqwsqq.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-5)*(-203)\/((-168084)\/(-1035))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p + 56*p - 22*p - 19*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 170?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4228.8127 - 4230.31269192. Let x = i - -1.5. Round x to 7 dps.\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166 + -162. What is the smallest value in 4\/3, 2\/377, 0.5, n?\nAnswer: 2\/377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6022346?\nAnswer: 2, 11, 457, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o - 36. Let i(g) = -28*g + 45. Calculate d(i(h)).\nAnswer: 112*h - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 30, -30, -104, -186, -270, -350?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16857329.\nAnswer: 739, 22811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 m, and 1 a when three letters picked without replacement from pmetaame?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 457 and -0.014?\nAnswer: -6.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218 divided by -70.\nAnswer: -109\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**3\/3 + 4142*v**2 - 276276*v = 0.\nAnswer: -6279, 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)*l)**(-7\/5)*(l*l*l**(-1))**(9\/2) assuming l is positive.\nAnswer: l**(127\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-210)\/16)*(-4)\/(-80)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 666173 - -1076196. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36772 is divided by 266?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003667633489 rounded to seven decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 4, 2, -30, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5*2*(-9)\/(-150)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50483136 a multiple of 1415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5227*l - 6578. List the prime factors of p(9).\nAnswer: 5, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, -23, -50, 3\/2, 4, 1\/6 in ascending order.\nAnswer: -50, -23, 1\/6, 1, 3\/2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1418 = -2*c - 2*b, 0 = c - 9*b + 14*b - 677. What is the greatest common factor of c and 4063?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g + 4*g + 2*g)*(-5*g + 4*g + 2*g)*(-15*g**3 - 5*g**2 + 5*g**2).\nAnswer: 75*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*s - 2*s = 8, -4*l - 12 = -s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 + 10404*y**3 - 13540802*y**2 + 27050400*y - 13520000 = 0. What is y?\nAnswer: 1, 2600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -78 equal to -121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -11*x - 8. Suppose 5*w + 45 = -5*s, 28 = -w - 3*w + 4*s. Let n be z(w). Suppose -f - n = -3*f. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 81, 198, 363, 576, 837, 1146?\nAnswer: 1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/19 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 5 (b) -3 (c) 5.2 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2. Let k(c) = -3*c**2 + 2*c - 2. Let z = 15309 - 15308. Calculate z*k(t) + 6*p(t).\nAnswer: 3*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1466982 and 348223.\nAnswer: 68948154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3232514 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 702 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 7*s + 5*g - 1694 = 0, 2*s = 5*g + 1146. Calculate the greatest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (-3 + 19 - 11) + -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 3:21 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1433397 rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (170 - (97 + 39)) + 58.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3 + 32*m**2 - 138*m + 108 = 0. Calculate m.\nAnswer: 1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0324 + 4.9676. Let c(b) = -b**2 + 9*b - 7. Let o be c(8). What is the nearest to -0.2 in k, o, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 26813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 326, 81, 4\/5, 16 in ascending order.\nAnswer: 4\/5, 16, 81, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (15 - 19 - (2 + 0 + 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 105 + 971 = 0. Let d = x + -243. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1000 + -1995\/2. Let u = -0.3 - -0.2. Which is the nearest to -0.1? (a) u (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 times -83?\nAnswer: -2656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00056092972 to 7 decimal places.\nAnswer: 0.0005609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -452*b**4 - 1015*b**3 + 3*b**2 + 246958254*b wrt b.\nAnswer: -5424*b**2 - 6090*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 263623690 divided by 194?\nAnswer: 1358885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-4 + sqrt(66) + sqrt(66) + sqrt(66))\/sqrt(6) - (4 + sqrt(275)))**2.\nAnswer: 48*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27 and -432303.\nAnswer: 11672181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721915 is divided by 96?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 17 = 4*g - 424, -g - q = -104. Suppose p + z = 32, 6*p = 3*p + 4*z + g. Let m = p + -19. Solve -m - 1 = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10463 to the nearest one hundred.\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9072 and 31024?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - -5)\/(4\/(-16)). Let w be (-64)\/(-12) + -6 - n\/6. Is w less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -20, -2*i = -4*y - 29 + 9. Suppose -4*q + i*q + 180 = 0. Suppose -72*c**4 + 16*c**5 - 2*c - 36*c**2 + 6*c + 52*c**3 + q*c**3 = 0. What is c?\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + 4*w - 3*w + (-281*w - 7182 + 7182)*(-2 + 2 - 2).\nAnswer: 564*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((1*(-1)\/36)\/((-324)\/(-648))).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.788 + 2.67. Let j = -1.2 + 1.14. Let h = j - b. Round h to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**4\/24 - 11*x**3\/3 - 10*x**2. Let m be t(-9). Is m at most -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.084 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*r + 2362 = -11590, 2*f = -5*r - 6976. What is the remainder when f\/(-60) - (-4)\/(-30) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2092.22904 to one dp.\nAnswer: 2092.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*c + 63*c + 66*c + 63*c - 307*c + 58*c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30080 and 14006.\nAnswer: 4481920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 16988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*j + 7 - 4 - 3 to x + q*j and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 2*s - 1. Let j be x(2). Let g be 1*(120\/65 - 2). Let h be 24\/18*(-1)\/(-2). What is the nearest to h in g, 2, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -40*d + 17*d. Let m(v) = 30*v**2 - 5*v - 1. What is the units digit of m(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 - -11. Let n = 60 + g. Which is the closest to 2\/11? (a) n (b) 3 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1946396198 and 697?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/4 + 25*g**2\/4 - 69*g\/4 - 405\/4 = 0. Calculate g.\nAnswer: -27, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 13576 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 4*m + 36, 20*m + o = 22*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 3 (c) 5526 (d) 22 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.84234 centuries to months.\nAnswer: 7010.808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 4*l - 3. Give k(-10).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*k**4 + 957892*k**3 + 19115852400*k**2 + 127161836100288*k + 31789264299264.\nAnswer: 4*(k + 19956)**3*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-6)\/2)*(-70 + 71). Solve -5*y - t*m + 11 = -9, -y = -m + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -q + 95, -4*n - 3*q - 76 = -0*n. Let b = 21 + n. Solve b*u - 2 - 1 = y, -15 = -5*u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6698 and 2533?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 413861397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50063, -200243, -450541, -800957, -1251491?\nAnswer: -1802143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5469543 > -27347712\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453 + 617 = 107*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000069805 rounded to seven dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -89\/4. Suppose 2*q = -36 - 34. Let w be 63\/q - 2\/10. Put 1\/7, s, w in descending order.\nAnswer: 1\/7, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*q*v**2 - 279828*q*v - 626*v**2 - 20*v + 46 wrt q.\nAnswer: -33*v**2 - 279828*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c + 4 = 2*v, 4*v = -2*c + 8. Let z be v - (1 - 2 - -2). Let t be (-22 + z)\/(-3) - 1. Solve -w - 2*w = -t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -790676002 and -35.5.\nAnswer: -790676037.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187510 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(363) + -1 + sqrt(363)) + -3*(-1 + sqrt(363) + sqrt(363)) + (sqrt(363) + 2 + sqrt(363) - sqrt(363)) + 2 + -3)*-4*-5*4)**2.\nAnswer: -14643200*sqrt(3) + 393030400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -24. What is the smallest value in -3, -2, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115965 divided by -3.\nAnswer: 38655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((0 - -3) + -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/5 + 959832*x\/5 - 2879478\/5 = 0. What is x?\nAnswer: 3, 479913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 355 = 2*a, a + 2*g - 13 - 178 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 3\/7, 505, 8, -2.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 9:33 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + 269. Let t = -341.99999841 + k. Round t to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 2, u: 1}. Give prob of sequence av.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or 361\/5?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 21*t**2 + 20*t**2 + 26*t**2.\nAnswer: 31*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/2 - (-4 - -2) - 6 - -7. Sort -2, b, -35, -3, 2 in decreasing order.\nAnswer: b, 2, -2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -267415 * -5\nAnswer: 1337075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 271*k - 2795. What is the smallest common multiple of 186 and a(11)?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i + 3. Let y(g) = g**2 + 5*g - 5. Let a = 843 - 838. Give a*s(o) + 3*y(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 6:22 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 15 = 3*i, 5*i + 0 - 5 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 483966.8 to the nearest one thousand.\nAnswer: 484000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8125079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2045, -4088, -6119, -8138, -10145, -12140?\n\"Answer: 6*i**2 - 2061*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(5 + 0 - 4)*(-9*j**4 + 3*j**4 + 4*j**4).\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 > 3686\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50626 + -2341?\nAnswer: 48285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v + 31*v - 9*v**2 - 11*v - 6*v - 7*v - 2*v**3 to the form c*v**2 + q + d*v + z*v**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2214 and 18?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131\/235 - 2\/47. Which is greater: -1\/76 or w?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 91?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 5}. Give prob of picking 3 g.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -26, -1, 3, 12, -3 in descending order.\nAnswer: 12, 3, 2, 1, -1, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**3. Let k(p) = 3 - 3 + 7*p**3 - 6*p**3. Give -a(j) + 5*k(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 10. Suppose j*q = 26 - 6. Suppose -2*z - q + 12 = 0. Solve -4*w + 5*w - z = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/27 + 1\/27. Which is the nearest to -0.3? (a) -1\/7 (b) -2 (c) w (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*u**6 - 776475*u**4 - 51443978*u**2 - 7*u.\nAnswer: -7560*u**3 - 18635400*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*l = -7*l + 400 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 505*v**3 + 1800*v**2 + 13420*v + 15520.\nAnswer: 5*(v - 97)*(v - 8)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*k + k. Let f = 4 - k. Let o be 0 + 1 + f - 1. Solve 3*h + 0*h = o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m - 5*m + 4*m)*(-2*m + 0*m + 2 + 0*m) + 9*m**2 - m + 237 - 237 as a + o*m + d*m**2 and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -25591\/2 and -12797 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5873 divided by 103\nAnswer: 5873\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*t + 12 = 0, 4*w + 5*t - 1 = 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 195832 divided by -4\nAnswer: -48958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315\/(-20) - -2 - ((-116)\/(-16) - 7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 21\/6)*-8. Let h be 2\/6 - k\/12. Suppose 5*g = -4*v + 32, g + 2*g - 4*v = h. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 2*s**2 + 2*s + 1. Let i = -1 + 6. Let y(x) = -x**3 + 5*x**2 + x - 6. Let w be y(i). Let d be m(w). Solve -f + 4 = -d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -759 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n + 10 = 3*r + 19*n, -5*n - 5 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 14 = 2*b, -2*j - 1 + 11 = b. Suppose 2*f - b = -2*f. Let v(w) = -4*w - 6. Calculate the least common multiple of f and v(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 11*r = -54. Let k(a) = -3*a + 6. Calculate k(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 4:33 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*q - 2, -1 = 2*q + q + 5*w. Let c(d) = 1 + 0 + 4*d**2 + 0*d**q - 8*d**2 - d**3. Let i = 279 - 281. What is c(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - x + 79 = 0, -94 = -4*r - 2*x - 26. What is the remainder when 613 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*o - 8. Suppose 3*m - o*j - 1089 = 0, 5*m - 1821 = -0*m + 2*j. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/3100 and 101\/1860.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/(-70)*(-7)\/1. Let p(j) = -5*j + 44. Let m be p(7). Suppose -3*n + f + m = 0, 4*n - 12 = -x*f + 8*f. Solve 2*c - n*c - 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 21. What is the remainder when 13 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.95 - 174.35. What is l rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 10) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -20. Let t(n) = 79*n + 12. Let f be t(a). Let s = -363 + f. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/((-54)\/4))\/((-6)\/(-9)). What is the third smallest value in u, -12, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**2 - 223*c + 224. Let m be f(1). Solve -2*p + 11 = -s, 3*s + m*p - 12 = -1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00302927079 to 4 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 821, 822, 823, 824, 825, 826?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/27572160 and -145\/1188.\nAnswer: 248149440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131443214 (base 5) to base 13.\nAnswer: -19c801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.8 - -10.4. Let k = -24 + 39.5. Let a = k - n. What is a rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 26. Suppose v - 3 - 5 = 0. Let p be c(v). Is ((-10910)\/p)\/((-1)\/(-1)) 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 i and 1 d when two letters picked without replacement from {k: 4, p: 3, v: 3, d: 1, i: 2, m: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 216 = 2*p, -186 = -2*p - 122*h + 124*h. Calculate the greatest common factor of p and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 1)*(0*i - 4*i + 3*i) - i - i + 3*i + 55*i + 134*i + 247*i + (0 + 0 + 1)*(3*i - 2*i - 3*i) in the form d*i + g and give d.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62.1 - -62. Let c = 54.91 - -0.09. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - r + 0*r + (1 + 2 - 1)*(2*r + 2*r - 3*r) - r + 3*r + 0*r)*(-11*r**3 - 26*r**3 + 24*r**3).\nAnswer: -91*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-c**3 + c**3 + c**3) + 6*c**3 - 2*c**3 - 3*c**3 + (5*c**2 + 0*c**2 + 15*c**2)*(c + 0*c - 3*c) to y*c + r*c**2 + i + m*c**3 and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 1\/42*z**7 - 1\/15*z**6 - 2*z + 0*z**2 - 1\/6*z**3 + 1\/6*z**4 + 0 + 0*z**5. Factor a(g).\nAnswer: g*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b*b*b**0*b*b**7*(((b**(-8)*b)\/b)\/b)**(-2\/91) assuming b is positive.\nAnswer: b**(1110\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 1. Let m(u) = 5*u - 68. Let s(t) = m(t) - 4*o(t). Differentiate s(i) wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2181232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 9.723\nAnswer: 4.8615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9*w**1\/w*w*w)**14 assuming w is positive.\nAnswer: w**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 295194, 295523, 295854, 296187?\n\"Answer: k**2 + 326*k + 294867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 16, -266 in descending order.\nAnswer: 16, 6, 1, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 9*a**2 - 5*a**2. Let u(y) = 205*y - 205*y - y**2 - 60 + 60. Calculate u(g(w)).\nAnswer: -256*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-22 - (-18 - -10)) - 52?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -362, -1226, -2104, -3002, -3926, -4882?\nAnswer: -5876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385041 (base 10) to base 13.\nAnswer: 106347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/45? (a) -2 (b) -0.562 (c) -5 (d) -0.4 (e) -1 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002160838 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b2 (base 12) in base 14?\nAnswer: 15c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681 = 870*a - 1902 - 1389 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.2 - 18.2. What is the second biggest value in 1\/3, q, -25?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 598 divide 236387102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 264390143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6399*g**2 + 6404*g**2 - 19206*g**2 + 6405*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**3*v**3 - 222*i**3 + 48*i**2*v**3 + i*v**2 wrt v?\nAnswer: -12*i**3 + 288*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 11 - 29. Let o = -3 - v. Let m be (-4 + 27\/o)*8. Solve 5*x + 25 = -b + 5, -2*x - 8 = -m*b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbebbbebbeebbbe. What is prob of sequence bb?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-1))\/(-32))\/(3\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p + 5. Let j be w(0). Let g be (4 - 0)\/(3 + -2). Let o = 8 - g. Solve -18 = -o*h - t + 1, j*h - 24 = -t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 303646, 1\/7 in descending order.\nAnswer: 303646, 1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2278085 and -0.66.\nAnswer: -1503536.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 0*p + 3*d + 5, -3*p - d + 10 = 0. Solve 10 = -2*a + p*g, -5*g - 15 = 4*a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k - 6*k + (-k - k + k)*(1 - 3 + 1) + 20*k - 15*k + 14*k)*(-4 + 0 + 2)*(3 + 2 - 4).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*(-24)\/32)\/((-2)\/16). Find the common denominator of (-1*(-21)\/d)\/5 and 2 + 182\/8 + -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7*f = -8. Let v(o) = -3*o + 8*o - 3*o - o**f - o + 7. Suppose 4*z - 3*l + 6 = 0, -10 = -4*z + l - 6*l. Determine v(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133\/5 + 27. Let l(p) = p**2 + 9*p + 7. Let m be l(-8). Sort m, h, -4 in decreasing order.\nAnswer: h, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142754078.\nAnswer: 2, 71377039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1384172831 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*a**4 - 3*a**3 + 35227*a**2 + 24130028 wrt a.\nAnswer: -52*a**3 - 9*a**2 + 70454*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31, 54, 79, 106?\n\"Answer: r**2 + 20*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -5. Let z = 60 + -301\/5. Sort z, -1\/9, w.\nAnswer: w, z, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1058, -4207, -9432, -16727, -26086?\nAnswer: -37503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039074 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 35*s + 100. Suppose 45*v = 149 + 1111. Does 30 divide p(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/(-91) - (-2)\/7. Suppose -2*r + 16 = 2*t, -2*t + 5*r - 31 = -6*t. Let w = -5 + t. What is the biggest value in b, w, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/439660 and 73\/161980.\nAnswer: 3077620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 19154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1601 + 1601.957. Let j = -0.043 - u. Which is the closest to j? (a) 2 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.6 plus 59911?\nAnswer: 59808.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -110, 5 in decreasing order.\nAnswer: 7, 5, 2, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -180 + 1\/2*w**2 - 13*w = 0.\nAnswer: -10, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*t - 7*t. Suppose 25*w + 3 = 24*w. Suppose 0 = -u + 1 + 2, 0 = 4*q - 4*u + 20. Put q, t, w in increasing order.\nAnswer: w, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 108\/13 in 0, -2, 1.11, -5?\nAnswer: 1.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwwq when four letters picked without replacement from {r: 1, q: 2, w: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*v + l + 91, 0 = -2*v - 5*l + 65. Let q = -1235 + 1353. Calculate the remainder when q is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 114 in -3\/7, -1, 0.009, -2\/13?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 151027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1298, 1492, 1682, 1868, 2050, 2228, 2402?\nAnswer: 2572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - 13*y**3 - 21*y**3 - 7*y**3 + 11*y**3 + 1 in the form i + h*y**2 + o*y + b*y**3 and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20667951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61472.\nAnswer: 2, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = t + 3. Calculate the common denominator of -3\/2 and 6\/(t + 20\/44).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87997908 divided by 276?\nAnswer: 318833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 12) + (-2 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/3*(-3)\/2. Let w = o - -12. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1694, 0.4 in descending order.\nAnswer: 1694, 0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**6\/10 + h**4\/8 - 7*h**3\/6 + 732*h**2. Let w(l) = -11*l**3 + 2*l - 6. What is -4*g(y) + 5*w(y)?\nAnswer: -7*y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = 14*y - 77704. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 18. Solve -5*q + t*c = -1, -4*c + 14 = 4*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3714171 and 666.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 19*q - 15. Let m be d(18). Solve 0 = -m*s - 6 - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 418 + -417. Let s(g) = g**2 + 8*g - 6. Let b be s(-8). Let m be 4\/((-112)\/b)*2. What is the closest to r in m, -5, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -1) + 2145\/(-1110). Let f = 331\/518 - n. Which is the third biggest value? (a) -0.4 (b) 0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q + 10 - 62. Solve 16 = -k + q*n, 0 = -k + 5*k - n + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/17, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1361, -2431, -3403, -4277, -5053, -5731, -6311?\n\"Answer: 49*j**2 - 1217*j - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 75*(2 + (-260)\/25). Let p be 130\/i + (-4)\/18. Suppose 5*u - 2*u + 5*k + 15 = 0, -6 = 2*k. Are p and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and 11176.\nAnswer: 11176.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**5 - 336*r**4 - 3438*r**3 + 382536*r**2 + 385641*r = 0.\nAnswer: -69, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 267 = 255. Let k be 2\/(-2 + (-8)\/q)*-1. Solve 0*f = -k*f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(76)*-2 - (sqrt(76) - (sqrt(76) + 1 + -2)))*-3)**2.\nAnswer: 144*sqrt(19) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.394 - 0.094. Which is the closest to -2\/3? (a) 0.008 (b) -1\/20 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/2 of a year?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291 + -181. Suppose 746 - 1046 = -30*f. What is the highest common factor of g and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -353*d**4 + 312*d**2?\nAnswer: -8472*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w = -168 - 151 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 1 + 18 = y, -11 = c - 5*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Calculate the lowest common multiple of 4 and 3 + r + 1 + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -203.\nAnswer: 5\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40570 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + v - 22007 = 17898, -2*v = 5*o - 49882. Let t = o + -4313. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -110222221111?\nAnswer: -110222221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/105*(-2 - 63\/(-24)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12013.54133236 and -3.47?\nAnswer: 12010.07133236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/52)\/((-12)\/(-16)). Which is the nearest to -1\/3? (a) -0.2 (b) y (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*j + 29, 4*j + 89 + 31 = 3*w. Suppose 3*p - 4*b - w = 0, 4*p - 42 = -4*b + b. Solve -5*g = -g + p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822 divided by -3?\nAnswer: -2822\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52571010 a multiple of 2459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 3*z**2 + 7*z + 1. Is 4 a factor of t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuutuntuttt. Give prob of picking 2 u.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 298 = 9*o. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwbo when four letters picked without replacement from oooowobqqwob.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 6*x - 4. Let v be d(-4). Let i = 5 - 3. Let h be (-108)\/51 - i*-1. Which is the nearest to 0? (a) v (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300061261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-1 - (-171)\/36)\/(-12)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 2*u + 7*u + 0 + 3. Let r be f(-6). Let k = r + 3. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 123200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/71 + 63\/568. Which is the closest to 1\/6? (a) -3 (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 18 = -5*t - 19*a, -4*a = -t + 4. Let h = 4 + -3.99. Let l = -0.08 - 0.22. What is the third biggest value in l, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f. Let g(h) be the third derivative of -h**5\/30 + 31*h**3\/6 + 3*h**2 - 10. Calculate s(g(x)).\nAnswer: -6*x**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9118.301 litres in millilitres?\nAnswer: 9118301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let b(q) = -2*q**h + 1 - q - 8 + q**2 + 2*q**2. Calculate b(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954*r + 64*r = 86*r - 572*r - 120320 for r.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 5\/42*q**7 - 5\/12*q**4 + 20*q + 0 + 3\/4*q**5 + 0*q**3 + 0*q**2 - 1\/2*q**6. Factor o(p).\nAnswer: 5*p**2*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 451 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10*-3)\/(306\/9690)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/989780 and -4\/4235.\nAnswer: 6928460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 789151313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/3)\/((-20)\/6). Let n = 38 - 40. Which is the closest to 0? (a) -4 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -25*f - 12. Let j be a(-4). Suppose -7*k + 10 = -j. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 5:34 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 276 + -210. Let f = -9774810.99953 - -9774745. Let h = g + f. Round h to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/930 and -68\/337683?\nAnswer: 3376830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.44196m in centimeters?\nAnswer: 9644.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/(-1060) + 23\/(-60)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52630 < -894685\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**5 + 51*s**3 - 156*s wrt s.\nAnswer: -60*s**3 + 306*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2490 - -6873. Does 87 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-1 + 1 - 1)*(1 - 2*d**2 - 1).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5965.679 millilitres in litres?\nAnswer: 5.965679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39756257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/248 - 541\/3720. Suppose 5*n - 10 = 5. Which is the nearest to -0.1? (a) n (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 3*f - 19, 3*o - 4 = 43*f - 41*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 8*j - 9. Suppose -s - 9 + 12 = 0. Suppose 0 = r - 0*r - s. Suppose r*g - 18 = 6*g. Give x(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2258 or 133205\/59?\nAnswer: 2258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(6 + (-330)\/54). Suppose 17*x - 8*x - a = 0. Is 61\/7 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5445 - 5378 - 2*j + j.\nAnswer: -j + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 26, -2, -4 in decreasing order.\nAnswer: 26, 7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 201\/712?\nAnswer: 201\/712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0584 and 5725782007?\nAnswer: 5725782007.0584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*l - 1, -10 = -2*l + 4*l. Solve 6*j = -p*j + 54 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*d + 467 - 401 + 630 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 2, -4, 3 in decreasing order.\nAnswer: 3, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7411839*a**2 + 2588982*a?\nAnswer: 14823678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13*l + 22. Let v(r) = -r - r - r - 7 + 7*r. Let w(f) = -7*v(f) - 2*z(f). Calculate w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/52 + 0 - 18222\/(-26). Suppose 5*b = -21 + s. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*w**3 + 12*w**4 - w**2 - 3*w**4 - w - 10*w**4 - w**3 in the form c*w + r*w**2 + x*w**3 + d + z*w**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*x + 2655, 5*t + 5*x = t + 2124. What are the prime factors of t?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 9:17 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8320, -8317, -8314, -8311, -8308?\n\"Answer: 3*i - 8323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - r + 0*r**2 + 2*r**4 - 8 + 2*r**2 + r**3 + 6*r to h*r + d + l*r**2 + u*r**3 + x*r**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6290121.\nAnswer: 3, 19, 211, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 - (-31 + 22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 12581\/30?\nAnswer: 12581\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3 - 38*w**2 + 3*w + 34*w**2 + 2*w**2. Suppose -3*d - 11 = -5*t, 8*d - 5*d + 4*t + 2 = 0. Let a(h) = 3*h**2 - 2*h - 2. Give d*u(i) - 3*a(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1044 = -4*d - 240, 4*f = -2*d + 396. Let z = d + -140. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160 - 159.8768. Round z to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -39945, -21, 0.1, 1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 12:34 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -143*w**3 + 5*w**2 + 9*w + 2. Let z(a) = 72*a**3 - 2*a**2 - 4*a - 1. Let m(i) = 2*d(i) + 5*z(i). Is m(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -11111011011110010000?\nAnswer: 11111011011110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 1, u: 1, m: 1}. What is prob of sequence ue?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*n - 241*n - 1116 + 6000 = 0 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(2\/(-3)*(-12)\/19432) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 2*r - 5*r - 13*r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 771062.3ml?\nAnswer: 771.0623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.2 (b) 1\/2 (c) -5 (d) 4 (e) -5\/6 (f) 9\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Let x = -140 + 143. Let h(u) = -10*u - 8. Let z(g) = -19*g - 14. Let p(o) = x*z(o) - 5*h(o). Give 6*f(t) - p(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -723\/68 - 23\/51. Find the common denominator of d and 35\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -222 greater than -221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53692755 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(1*2\/(-4)). Let f = -126 + 140. Let c = g + f. Solve -5*n - 10 = 2*d - d, c = 4*d + n + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1216451250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/695 - -1429\/9035. Let y = -0.05 - 0. Let q = -0.15 - y. Sort x, q, 0 in ascending order.\nAnswer: q, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4001 = -z, 4065 = 3*l + 3*z + 72. What is the highest common divisor of 62 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 - 80. Calculate the remainder when n is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*d - 48*d + 46*d = -127*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -192951*k**4 - 68*k**3 - 48244187*k**2 wrt k?\nAnswer: -4630824*k - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 881886028 and -48784.\nAnswer: 881837244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1144\/909 - -30\/101. Let f = 288 - 286. Which is bigger: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 115?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -10, 13.\nAnswer: -21, -10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/20 and -107\/1451250.\nAnswer: 2902500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/9)\/7 - 76\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -20*n**3 + 3*n**2 + 33*n - 8. Let z(j) = 13*j**3 - 2*j**2 - 21*j + 5. What is 5*s(l) + 8*z(l)?\nAnswer: 4*l**3 - l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2416*g + 3*u + 6 = 2412*g, -4*g + 6 = -3*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41040 is divided by 351.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 419170239 and 12.\nAnswer: 1676680956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/7 (b) 2 (c) -10 (d) 32 (e) -3 (f) -1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -19. What is the smallest common multiple of h and (-24*65\/(-1040))\/(2\/96)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32204 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20621.\nAnswer: 17, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91950 is divided by 97.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57026573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -20*x**2. Let q(f) = f**2 - 8*f**2 - 10*f**2 + 8*f**2. What is v(q(l))?\nAnswer: -1620*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -957a - -3?\nAnswer: -9577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 1 - 45426*r**3 + 22804*r**3 + 22789*r**3.\nAnswer: 167*r**3 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q. Let s(p) = 10*p - 12. Let n be 2\/((-5)\/30*-1). Let w(g) = -g + 1. Let z(j) = n*w(j) + s(j). Calculate x(z(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-5)\/(-15))\/((-2)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44982*p**2 + 4*p - 733?\nAnswer: -89964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13 + 8 + 61*p**3 + 2*p**2 - 7 - 17*p**3 wrt p?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14*(3 + 14\/(-4)). Let g be f + (-5 - -2) + -1. Put -1\/5, g, -2 in decreasing order.\nAnswer: g, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1513 = 322. What are the prime factors of i?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1179.95 + -1222. Let n = d - -27.94. Let g = n - -13. Round g to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -366781690.0926 - 2\nAnswer: -366781692.0926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1336\/7 - 13199\/70. What is the common denominator of 101\/10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 37 = 2*m. Suppose -6*z + 2*z = m. Is 38 a factor of z\/2 - (-42 + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -2*n - 8, -11*b - 3*n + 23 = -15*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -14*x + 199. Let t be k(14). Suppose 4*f = z + 3, 3*z - 4*z - 3 = -3*f. Let j = -3 + f. Which is the third smallest value? (a) t (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from kbqqfapkb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*w - 24 = 0, -4 = 2*z + 4*w - 28. Let c = -24 - -13. Let t = z + c. What is the biggest value in t, 2, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20666853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b = -2*y + 4974, 5*b - 9922 = -4*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(40\/6)\/(77\/((-1232)\/(-40)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 9:25 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 9:23 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 151 = -l + 1032, 1490 = 5*x + 5*l. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 255 and 13825?\nAnswer: 705075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + 4 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 7*x - 5. Let s be f(8). Suppose -3*j = -5*d - 35, -3*d + s*j + 0 = 27. Let n(p) = -p**2 - 6*p - 5. Give n(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 3*i**3 + (0*i + 5*i - 2*i)*(2*i + 2*i**2 + i**2 - i**2) as h*i**3 + m*i**2 + a + z*i and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1131 and 4511923.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/9 + 35 + -34. Factor c*d**2 + 0*d - 8\/3.\nAnswer: 2*(d - 2)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 9*u - 6. Let s be n(10). Suppose 0*v + 3*v - 29 = -s*y, 2*y + 17 = 3*v. Suppose v*i = -706 + 6089. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1289, 2369, 3451, 4535, 5621?\nAnswer: 6709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1403270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4596, -4, 3 in descending order.\nAnswer: 3, -4, -4596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -21 + 3. Suppose o + 3 - u = 0. Solve -s = -o*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2179.010586 to the nearest 10.\nAnswer: -2180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1735 - -3629\/2. Let m = -80 + c. Sort 9, m, -0.4, -2 in decreasing order.\nAnswer: 9, -0.4, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-15))\/(2\/6). Calculate the remainder when 74 is divided by 20\/1 - (2 + b).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/10 + 2397*r**4\/5 - 4792*r**3\/5 = 0. What is r?\nAnswer: 0, 2, 4792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) 2 (c) -65\/8 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - -847. Suppose -y + 5*p = -272, 2*p + z = y + 2*y. Suppose -2*t - 114 + y = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 8, -2*y - 64 = -4*r. Let p = 202 + -49. Calculate the highest common factor of r and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -187846?\nAnswer: 1\/93923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.3. Let i = 131 + -129. Let u be 187\/44 - (i\/2)\/4. Put 1, u, s in descending order.\nAnswer: u, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*g + 49*g + 111 = -56*g. Let j(m) = -6*m**3 - 5*m**2 + 7. Let q(d) = -5*d**3 - 4*d**2 + 6. Give g*j(p) + 4*q(p).\nAnswer: -2*p**3 - p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -212*c**3 - 337900*c**2\/3 - 46086848*c\/3 - 318233584\/3 = 0. What is c?\nAnswer: -262, -1159\/159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -437 - -442. Suppose 0 = -5*x - 5*t + 15, 5*x - 4*t = -0*t - 12. Solve x = -2*f - 3*f + v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x + 7*x - 23*x + 6*x. Let f(h) = 7*h**2 - 11*h. Let o(l) = 2*l**2 - 3*l. Let p(a) = -6*f(a) + 22*o(a). Determine p(j(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 4*u - 3. Let d be r(5). Let w(a) = -2*a - 4. Let j(i) = i - 16. Let o be j(12). Let k be w(o). Solve -v - d*p + 2 = k, -4*v - 4 = 4*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128279 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3058*t = -2733*t - 8307 + 2782 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r. Let p(a) = -2 - 8*a + 2 + 20*a. Calculate -34*i(c) - 6*p(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 59*o**6\/72 + 2*o**3\/3 - 4*o + 171. Let g(c) be the third derivative of d(c). Let t(q) = 2*q**2. Calculate t(g(k)).\nAnswer: 174050*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 312479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, i: 1, m: 7}. What is prob of picking 1 f and 1 m?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724 at least 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404556 a multiple of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 - 12432*b\/13 - 19319328\/13.\nAnswer: -2*(b + 3108)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3, 2*w = -i - 0*w + 845. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**4\/12 + g**3\/6 - g**2 + 3*g. Let p be w(-3). What is the second derivative of -p*t**2 + 0*t**2 - 5*t + 6*t**2 wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, 2, -18\/7, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/16))\/k**(2\/49)*(k**(-2\/9))**18 assuming k is positive.\nAnswer: k**(-2531\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(117)*-4.\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*l + 19, 4*l - 3 = -2*m + 3*m. Suppose 3*n - w - 10 = -45, 5*w - 6 = l*n. Let v be (-1250)\/325 + 2\/n. Sort 0.4, v, -3.\nAnswer: v, -3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20874 is divided by 4168?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -p + 21, -201 + 203 = -x - 2*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is c0 (base 15) in base 9?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:22 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dwjdjddw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27*-14619\nAnswer: 394713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003117748 rounded to four dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-28)*q**(-5\/7) assuming q is positive.\nAnswer: q**(-201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 10 = -3*g. Let u(x) = 2*x**3 - 11*x**2 + 5*x + 20. Let k(l) = l**3 + 8*l**2 + 7*l + 5. Let p be k(-7). Let y be u(p). Solve y = -2*q - g*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -954 - 1694?\nAnswer: -2648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/69 and 97\/134264.\nAnswer: 9264216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10404 - aa6?\nAnswer: -112aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5429699 is divided by 544?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6060432 divided by 408\nAnswer: -14854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 21*m - 7*m + 8 as g + a*m and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -223*b + 492. Calculate the remainder when 2850 is divided by a(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/2136 and -25\/712?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12705020, 25410031, 38115038, 50820041, 63525040?\nAnswer: 76230035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 46?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -15. Let t be (10\/45)\/((-35)\/r). Which is the closest to -2\/7? (a) t (b) 0 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/10 (b) -0.01448 (c) 2\/3 (d) -0.4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10\/71 - 2951\/284. Find the common denominator of 5\/4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83167*v - 41380*v - 41582*v.\nAnswer: 205*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.01543306 - -0.4.\nAnswer: -20.61543306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17a847 (base 13) to base 9\nAnswer: 1105567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -13*v + 8*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8725997 decades?\nAnswer: 8.725997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 2, i: 1}. What is prob of picking 1 s, 1 i, and 1 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 2. Let a(b) = -4*b + 2. Let j(h) = 7*a(h) - 6*z(h). Give j(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s. Let j(m) = -41*m**2 + 2*m. Calculate j(b(u)).\nAnswer: -656*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-22) - 11\/((-363)\/(-798)). Let b = -16 - p. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3, 2*u + 2*f + 17 = 5*u. Suppose -5*m = -5*d - 15, 0 = -d + 6*d - 2*m. Solve 0 = -3*h - 1 - u, 4*o + 12 = -d*h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -552130121 (base 6) to base 5\nAnswer: -10013342120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:11 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + x + 8, 4*x - 12 - 10 = -g. Suppose 3*z = 2 + 7. Let w be (g\/4)\/(z\/40). Solve 5*s - 5*p = 10 + w, 5*p = 2*s - 24 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 68 - 76 = 0. Suppose -262 = -5*a - 4*d - 53, 161 = 4*a - 3*d. Calculate the remainder when p is divided by a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**2 + 696*t + 60552 = 0.\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 697*h - 735*h in the form v*h + z and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 4*v + 2. Let u be h(4). Suppose 5*r - u*i - 9 = 0, -r - i = -6*i - 11. Which is smaller: -4\/9 or r?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27094\/57)\/23 - 23. Sort 2\/9, v, 5, -1.\nAnswer: v, -1, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -23350 and -23350 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-3)*d))\/((d*d\/d**(-4))\/d))**45\/((d\/d**2)\/(d*d\/d**2*d))**(2\/11) assuming d is positive.\nAnswer: d**(-986\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/486 and 29\/32.\nAnswer: 7776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4.552229 days?\nAnswer: 109.253496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 5)*(233 - 233 + 36*f**3) + 3*f**2 + f**3 - f - 3*f**2 in the form d*f**3 + r + x*f**2 + m*f and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -17. Suppose 2*w + 15 = u, -3*w + 2 + 7 = g*u. Calculate the highest common factor of 42 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2931 and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 66?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoscucspu. Give prob of picking 1 o and 1 u.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 + -0.99. Let q = 1.9 - 1.72. Let m = -3.82 - q. What is the third smallest value in x, m, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -100.4 (b) 5 (c) 80 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11279, -22549, -33819, -45089, -56359, -67629?\nAnswer: -78899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6990384 is divided by 302?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.006 + 0.059. Let h = -0.065472 + p. Round h to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(((-462)\/22)\/(-21))*3?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*j**3 - 3*j**2 - 3*j**2 + 541*j**3 - 735*j**3 + 6*j**2.\nAnswer: 345*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 25 = -5*t - 4, -13 = -2*s - 3*t. Let u = -213 + 217. Suppose 2*w + s*w = -2*b + 286, -4*w = u*b - 584. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:42 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16533 = -3*l - q, -3*l + 2*l = -3*q - 5521. Let j = l - -120488. Round j to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from dlvvenxvddx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.46? (a) 1\/2 (b) 245 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/30 and 167\/24630.\nAnswer: 24630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p + p**3 + 0*p - 19*p + 45*p**2 - 4 - 41*p**2. Let t be q(-7). Which is the nearest to 0.1? (a) t (b) 2\/5 (c) 1\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-293)\/295)\/(-202 - 270546\/(-1340)).\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 3, 0.07 in increasing order.\nAnswer: -1\/4, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p - 4 = 0. Let i = p - -7. Find the third derivative of -16 - 7 + 23 - 4*s**i + 2*s**2 wrt s.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -14*a + 15. Suppose -a*i + 3*i = z - 139, 0 = i - 3*z - 131. What are the prime factors of i?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -68?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixiixixxxx. What is prob of picking 1 i and 1 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3053 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 5*b - 8. Let f be m(-7). Suppose -x + 15 = -f*x. Is (-20)\/x + 1\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 38*u - 182. Calculate the lowest common multiple of 420 and y(5).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-27))\/((-4)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 6*b + 12. Let j = 561 - 563. Let v be k(j). Solve 0 = -p - 4*t - v - 11, -3*p + 35 = -4*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + sqrt(300) + 0 + sqrt(300)*1 + 5)**2*1.\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q**(-3)\/q*q)\/q)\/q*q)**(-4\/9)\/(q\/q**(-11)*q\/(q**3\/q)*q))**(-34) assuming q is positive.\nAnswer: q**(1088\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**6)\/v)\/v**4)**(3\/11)*v\/v**1*v**(1\/4)*v\/(v**1\/v)*v**(-2)*v assuming v is positive.\nAnswer: v**(-97\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 17*b + 24. Let r be v(-14). Calculate the greatest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 - t**2 + 3*t + 3. Let r be c(-1). Is 5\/34 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n = 0, 0 = -5*a - 3*n. Suppose v - 46 + 13 = -c, -4*c = -3*v + 99. What is the smallest common multiple of (-3 - 0)*(-15 - (-3 - a)) and v?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*q - 124*q - 44 = -5*i, -2*q - 4 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1356 + -1343. Calculate the remainder when 191 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + 1*sqrt(304) + -3 + sqrt(304) + sqrt(19) + (sqrt(19) - (sqrt(2299) + 0)) + -1.\nAnswer: -4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5400\/42217?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3276 or -9824\/3?\nAnswer: -3276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/515940 and -61\/172.\nAnswer: 22185420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a hour?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/54 and 41\/20454.\nAnswer: 184086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 4*i**3 + 32*i**2 - 48*i.\nAnswer: -4*i*(i - 2)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 2\/3*l**4 + 0 + 5*l + 0*l**2 + 4\/3*l**3. Find the second derivative of o(t) wrt t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + -45 + 0 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -207 + 212 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 27 = -4*k + 5, -15 = -k + 3*a. Let z(m) = m**3 + 6*m**2 + 4. Let o be z(-6). Factor d**k + 2*d**3 - d**3 + 5*d**o.\nAnswer: d**3*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6054 = 4*q - 1130, 0 = 3*q - 12. Suppose -29*u = s - 13212. Is 46 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4*c = -y, 2*c = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7322, 7585, 7846, 8105, 8362, 8617?\n\"Answer: -w**2 + 266*w + 7057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = -2*x, x - 3 = 2. Let r be (6 + -9)\/(u\/(-5)). Let s be (-2)\/29 - (-5 + r). Which is greater: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {e: 1, y: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-2*n + 2*n + 3*n)*(8123 - 8123 - 41*n**2).\nAnswer: 123*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.8. Let h = 14341 - 14338. What is the third biggest value in c, -26, h?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oop when three letters picked without replacement from opp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37459*j - 38953?\nAnswer: 37459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2582, -2579, -2576, -2573, -2570?\nAnswer: -2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 1:51 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -14 - ((-7)\/1 + 4). Which is bigger: -41\/4 or a?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2. Let d(k) = -55902*k. Determine n(d(i)).\nAnswer: -6250067208*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 16*r + 200 = 0 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-6))\/(((-46)\/299)\/((-3)\/13))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0 + 0 - 15*r - 12*r + 29*r. Let v(h) = -221*h. Give v(p(c)).\nAnswer: -442*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.3, -5, 4, -123\/4 in decreasing order.\nAnswer: 14, 4, -0.3, -5, -123\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008157798 to 6 dps.\nAnswer: 0.000816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 918 + 612. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 315454161 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 2*g**2 + 3*g + 4. Suppose -a - 30 = 4*a. Let d(b) = -b**3 - 5*b**2 + 8*b + 9. Let u be d(a). What is the units digit of v(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 35*l - 35115. Let a(s) = -s + 1032. Give 205*a(j) + 6*y(j).\nAnswer: 5*j + 870","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62.305 - -0.305. Let h = -62.00001295 - i. What is h rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 10*s + 25. Let y be j(7). Suppose 70 = y*u - 22. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71865728 and 64328?\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15f (base 16) to base 7\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 22*n + 80. Let r be a(18). Let h be 1\/4 + (-1815)\/44 + r. Does h = -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4459 + 43.\nAnswer: 4502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-a + 2*a + a) + (-2 + 2 + 2)*(-a + 0*a + 0*a) - 2*a + 2 - 2 + a - 11*a + 6*a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*q - 1701 = 737 + 1158. Calculate the remainder when 2348 is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d + 2. Let v be p(-5). Let n = -10 - v. Calculate the remainder when 23 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.608 rounded to 0 decimal places?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 + 1)\/150*(-70)\/(-21). Let q = 0.1 + -0.3. Which is the biggest value? (a) -2\/5 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6462955?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 8.2 (c) -4 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 25. Let c be j(5). Let i = 10 - 8. Let r(x) = -4*x**3 - x**i - 2*x**3 - 2 + 0*x**2 + 7*x**3. Determine r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439 = -34*y - 609. Let h(b) = b**2 - 12*b + 5. Let t be h(12). Suppose -4 = t*l - l. Put -2, y, l in descending order.\nAnswer: l, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 252 + -258. Let c(l) = -l**2 - 26*l - 116. Let q be c(y). Solve 3*h + 1 + 12 = -4*g, 0 = -2*g - 4*h - q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 12*s - 1. Let q be o(-9). Suppose b - 100 = -4*i, 4*i - 28*b = -23*b + 124. Calculate the greatest common factor of q and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-9)*i)\/(i*i*i**(-23\/5)*i*i))**(-3\/16) assuming i is positive.\nAnswer: i**(111\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 - 2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 10*y**2 + 3*y - 13. Let u be h(10). What is the greatest common factor of 187 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5724927 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -711.323 - -711. Let t = -0.323201 - s. Let a = t - 0. Round a to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(108))**2 + sqrt(108).\nAnswer: 6*sqrt(3) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, t: 3, a: 2, x: 1, m: 1, l: 2}. What is prob of picking 1 t, 1 m, and 2 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 25. Which is bigger: g or -16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 - 10939?\nAnswer: -10966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**4\/5 - 49*i**3\/5 - 56*i**2\/5 - 11*i\/5 = 0.\nAnswer: -11, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 294.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1606\/299 + 120\/23. Let n = -1.66 + 1.477. Sort n, o, -0.1 in ascending order.\nAnswer: n, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/5320 and -13\/308?\nAnswer: 58520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22786, -46291, -69796, -93301, -116806?\n\"Answer: -23505*j + 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 70*j - 43*j = 98464. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0187508 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 221750 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*b + 29874, 3*b + 7401 = t - 2547. What is the thousands digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -915572*k**5 - 11*k - 13356 wrt k.\nAnswer: -18311440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 28 + 172 = 0. Suppose f = 4*f - m. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 54212*r + 1517962. Calculate b(-28).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -410, -964, -2042, -3818, -6466?\nAnswer: -10160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 6:53 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 83219818, 83219823, 83219828, 83219833, 83219838, 83219843?\n\"Answer: 5*d + 83219813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*(sqrt(170)\/sqrt(10)*-5 - (3*sqrt(17) + 1)))**2.\nAnswer: 960*sqrt(17) + 39268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83 - -84 - 46\/42?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*v + 455 - 95, 877 = 5*j - v. Suppose -5*y = -o - 32 - 3, 5*o - 5*y + j = 0. What is o rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10 + 10 - 57*j + 8 - 28. Let a(k) = k**2 + 3*k. Let c(b) = 3*b**2 + 7*b. Let f(r) = 7*a(r) - 3*c(r). Calculate o(f(t)).\nAnswer: 114*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-132)*2*11. Solve -3*b = q*m - 5, 8*b - 11*b - 10 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 10 = 2*q. Suppose -41 = 5*w - 6. Put 2, w, 0, q in ascending order.\nAnswer: w, 0, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -36. Suppose -4*w + 3 = -s + 1, 3*w = 3*s - 12. Let t(x) = -31. Let h(q) = s*v(q) - 7*t(q). Let b(d) = d - 3. Determine -b(o) - 5*h(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**3 + 8*f**2 - 26*f - 5. Calculate k(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -23*k**2 + 90*k - 13. Let d(h) = -19*h**2 + 88*h - 12. Calculate -6*d(f) + 5*n(f).\nAnswer: -f**2 - 78*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14857 and 0.7.\nAnswer: -10399.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/(y\/(y*y*(y**(-10)\/y)\/y*y))*y*y)*y\/y**(-2\/3))\/(y*y\/(y*y**(-1)))**(-38) assuming y is positive.\nAnswer: y**(254\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (-39)\/21)\/((-10)\/(-35)). What is the tens digit of (-1 - -23)*(-12)\/(-3 - x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 7908840076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose k = 4*q - 14. Suppose q*n - 20 = 3*n. 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 1\/60 of a century in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10503.6429 rounded to the nearest 100?\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 14*s + 31. Let y be f(-2). Let d(p) = 20*p**3 - 6*p**2 + 5*p + 3. Does 28 divide d(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -500349 or -500333?\nAnswer: -500349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405995, 406044, 406093, 406142?\nAnswer: 406191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4521037\/6 + 763840. Let j be (1964\/(-6))\/((-2)\/63). Let d = l - j. Find the common denominator of 9\/2 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/9)*u)**27 assuming u is positive.\nAnswer: u**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 564047 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 50.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 136*t + 332. Calculate j(-141).\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 210282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - 23 - (54 + 8 + -7).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 11 = 5*v, 5*w - 1 + 3 = 4*v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154 - -148. Let s(l) = l**2 + 3*l + 6. What is s(d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.0802, 0.3, -1\/8, 3, -0.05?\nAnswer: -0.0802","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-312)\/50)\/(864\/(-2880)) - 1\/(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -22. Suppose -5*o = -v*m + 2 + 8, 0 = 2*m - 5*o + 2. What is the highest common factor of m and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**7\/2520 - g**6\/720 - g**4\/12 - 3*g**2. Let t(p) be the second derivative of s(p). Determine y so that t(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 - -0.5. Let a = 5 - 7. Let z be -2 + a\/(4\/6). What is the nearest to b in z, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*t + 4 = 0, 4*t - 8 = h - t. Is -12\/5 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, 51, 409, 943, 1671?\nAnswer: 2611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 8*h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3974.91 - 3975. Which is the smallest value? (a) -0.1 (b) m (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1619470 and -21053121\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 4. Let i be 2\/g*1*-6. Let y(f) = -3 - 2 + 4*f - 2*f**2 + f - 4*f**3. Let r(n) = -3*n**3 - 2*n**2 + 4*n - 4. Calculate i*y(o) - 5*r(o).\nAnswer: -o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 104\/8 - 8 - (2 + 2). Is n bigger than -1\/2035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:10 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*x + 37, 5*v = x + 7 + 14. Let h(q) = -q + 7. Let j be h(x). Suppose 2*f - 31 = 5*i, 2*f + j*f + 3*i = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**4 - 17*t**4 - 8*t**2 + 19*t**3 - 18*t**3 - 34 + 11*t**4 + 6*t**2 as v*t + g*t**2 + r*t**3 + a*t**4 + f and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 3 + 3 + (-5 - 2 - 2)*(-2*h + 0*h + 5*h) + (3 - 4 + 3)*(3*h - 5*h + 0*h) to the form v*h + x and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 - 39. What is the highest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**2\/9 + 11806508*p\/9 - 3935504\/3 = 0.\nAnswer: -2951628, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -885 - -1359. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.98 - -0.02. Let o = x - 5.4. Let k(u) = -u**3 - 13*u**2 - 26*u + 40. Let b be k(-10). Sort o, -5, b in ascending order.\nAnswer: -5, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*(-4*(-1)\/(-12))\/1)\/80?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172.25 + -172.10971. Round f to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.29 - 2.06. Let z = 0.22677 - s. What is z rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4*y - 50 = 0, 2623*q - 2713*q - 5*y = 235 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5, a + 3*a - 5*r = 3. Find the second derivative of v - a + 4 - 2 - 2*v**2 wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 10:22 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3192 = 58301*p - 58453*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((244\/3050)\/(9\/(-45)))\/((-24)\/(-190))?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580177827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**4*u**2 - 2*f**4*u + 1608*f**4 + 95*f**2*u + 9*f**2 - 5*f*u**2 wrt f?\nAnswer: -24*f*u**2 - 48*f*u + 38592*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 6*i + 7. Let g be s(5). Suppose -3*x + g = -16. Solve 3*k + 0*k = x, -p - 5*k + 6 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-3))\/(4\/3))\/(2\/(-44)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x)**(-1\/15)\/(x**(1\/3))**(18\/5) assuming x is positive.\nAnswer: x**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1681013\/48 - 35018. Let c = -658301\/55236 + 6\/4603. What is the common denominator of k and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/9570 and -62\/22011.\nAnswer: 220110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l + 83. Let z be w(16). What is the closest to 0.1 in z, 22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 4103\/(-22))\/(225\/100).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 16*i + 40 + 21*i**2 - 21*i**2.\nAnswer: -i**3 + 16*i + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 9801256.69?\nAnswer: 9801252.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:42 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.00666338.\nAnswer: -0.0333169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + z - 71 = 0, 21 = x + z - 2*z. Let g(h) = h**3 - 25*h**2 + 47*h - 19. Let i be g(x). Solve c - 3 = -0*p + 2*p, 0 = i*p - 3*c + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (168\/(-35))\/((-4)\/10). Let i = h - 8. Suppose -4*f - f - 2*g + 104 = 0, 74 = i*f - 3*g. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 327, 502, 675?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 1)\/(1\/(-2)). Suppose 0*v - 4 = a*v, -2*o + 3 = v. Suppose w = 6*y - y - 451, 0 = o*w - 8. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79, -156, -233, -310, -387, -464?\n\"Answer: -77*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697349.\nAnswer: 541, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -86 and 944.\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -16*l**2 - 810*l - 5993. Calculate o(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + sqrt(320)\/sqrt(8) + sqrt(40))*1)\/sqrt(8) + sqrt(55)\/(6*sqrt(44)).\nAnswer: 37*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 12*i**2 + 9*i + 16. What is s(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 29 = -3*g, -5*g = -0*w + 4*w - 184. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8680350 and 6150?\nAnswer: 355894350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*a - 101017 - 1115, g - 4*a - 34037 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k**5 + 32*k**2 + 0*k**6 - 35\/24*k**4 + 0*k - 1\/48*k**8 + 0*k**7 + 0 + 0*k**3. What is the second derivative of i(x) wrt x?\nAnswer: -140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 3\/24346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 288438 + 4?\nAnswer: 288442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42, 5\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.132 + 0.211. What is s rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 3*n - 3 - 4*n + 4*n**3 + n + 3*n. Let x(l) = 7*l**3 + 3*l**2 + 5*l - 5. Determine 10*c(h) - 6*x(h).\nAnswer: -2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 3*r**2 + 41*r + 248. Let z be x(-8). Calculate the greatest common factor of 2670 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7\/5)*(o*o**(-7\/4)*o*o)\/o assuming o is positive.\nAnswer: o**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-72520)\/(-49))\/(-37) - 25\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-3*c + 2*c + 0*c)*(1 + 0 + 4).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34657.5 litres to millilitres.\nAnswer: 34657500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q - 34. Let o(w) = 10*w + 67. Let m(j) = 7*b(j) + 3*o(j). Let g be m(-7). Is 17 a factor of g\/(-9) - 745\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16045.49 to the nearest one hundred.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 0, 78, 6 in descending order.\nAnswer: 78, 6, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 5*w - 44 = -74, 14 = -2*i - 4*w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 92 = 4*p - u, 3*p - 85 = -5*u. Solve 5*y - 3*y + 5*z - 4 = 0, 5*y + p = 5*z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(18)\/(sqrt(99)\/(sqrt(11)*4 + sqrt(11))).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*m**3 + 141*m**3 - 44*m**3 - 50*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -398, -13 in decreasing order.\nAnswer: 5, -13, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4584457016 to the power of 1\/3, to the nearest integer?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g - 33. Give z(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124 - -144. Let y = -96 + k. Let m = y + 202. Round m to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.3 - -14.3. What is the second smallest value in -8, -9, r?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 times 16\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/5 - 471798*m**2\/5 - 3709794852*m + 37099835736\/5.\nAnswer: -3*(m - 2)*(m + 78634)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49, -52, -57, -64, -73, -84?\n\"Answer: -f**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 13*w + 14. Let f = 15 - 3. Let m be r(f). Factor -6\/7*j**m - 2\/7*j**4 + 0 + 2\/7*j + 6\/7*j**3.\nAnswer: -2*j*(j - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 323952, 323776, 323610, 323460, 323332, 323232, 323166, 323140?\nAnswer: 323160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10678 and 12363157.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = 116*f - 127*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)\/(k\/((k**29\/k)\/k)))\/((k*k\/(k**(-27)*k))\/(k\/(k**(-18)\/k))) assuming k is positive.\nAnswer: k**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 15. Let r = -7 - q. Suppose 3*x - 20 + 5 = r. Solve x = k + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**2 - 11755750*s - 6909882903125 = 0?\nAnswer: -1175575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 10:59 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00104 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22414, -44812, -67198, -89566, -111910?\nAnswer: -134224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1654108345?\nAnswer: 5, 6701, 49369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -17. Suppose -2*a + 34 = i*h, 0 = -2*a + 4 - 2. What is the second derivative of 16*b**3 - 24*b**3 + 13*b + h*b**3 + 31*b**5 wrt b?\nAnswer: 620*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015568 to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/6 + 0)*4. Suppose 14*n = 10*n + 4*g, 5*n = -3*g - 8. Put n, k, -7 in ascending order.\nAnswer: -7, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83147713 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 0*t - 2*t + 14, 25 = 3*d + 4*t. Let q be 145*21\/(-615) + (-6)\/123. Sort -6, q, 5, d.\nAnswer: -6, q, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-8 + (-248)\/(-28)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2255, -2100, -1821, -1406, -843, -120, 775, 1854?\nAnswer: 3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n + 5*n + 5496464*n**3 + 6*n + 0*n - 5496440*n**3.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 = -0*k. What is the tens digit of (k*2)\/(3\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxpxpxp. What is prob of picking 3 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-647)\/(-5) - (-14)\/315*-9.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:45 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12390, -12385, -12380, -12375, -12370?\n\"Answer: 5*s - 12395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 1, -1, -19, -59, -127, -229, -371?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 69495?\nAnswer: 138990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108\/7 - 110\/7. Is b at least -183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) -0.3 (c) -4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or 9\/238?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + y = -y + 10, -2*y = 4*v - 6. Suppose 0 = -109*m - 28*m + 685. Put v, -6, 3, m in descending order.\nAnswer: m, v, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w = -30. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4118, 579, 2, -1.\nAnswer: -4118, -4, -1, 2, 579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11928182003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17 and 25.88.\nAnswer: 42.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 183 = -108. Solve -6 - 14 = w*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0640205, 0, 0.4 in increasing order.\nAnswer: -0.0640205, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -k - 20. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 6*m - 4. Let z be o(4). Suppose 0 = 3*x - i - z*i - 40, 3*x + 10 = -5*i. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1067 and 388.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -209*k + 128 - 3*k**2 - 78 + 285*k + 137*k + 972 wrt k?\nAnswer: -6*k + 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/2))**(-1)*u**10*u**(-2\/7) assuming u is positive.\nAnswer: u**(157\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31529 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4209.011nm in meters?\nAnswer: 0.000004209011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12522 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 9322\nAnswer: -37288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 >= 755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(16\/3))*m**28)\/((m**(-18)\/m)\/((m**14*m)\/m)) assuming m is positive.\nAnswer: m**(199\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.4 (b) 443 (c) 155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 29 and -26.1.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -4143.\nAnswer: 4\/1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = d + 3, g = -3*g - 2*d + 14. Let c(m) = -m**2 - m**2 + 4*m**g. Let p(u) be the first derivative of -u**3\/3 - 3. What is c(p(r))?\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/120224 and 61\/9792.\nAnswer: 2164032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 108\/5 + ((-8)\/(-20))\/1. What is the highest common factor of 14 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17\/33 + -7\/33. Which is bigger: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*b - 547*b + 21275 = 171*b for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 10*g + 2568. What is the remainder when j(-40) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*k - 6 = 0, i + 23 + 0 = -5*k. Solve d - y = 8, 4*d - 22 + 8 = -i*y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, m: 6}. What is prob of sequence mmom?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -2466.3681.\nAnswer: 986.54724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 7*n**2 - 2. Suppose 27*g - 121 - 392 = 0. Suppose 7*p - 2*p + g = 4*w, 0 = -p - 5*w - 27. Calculate s(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351, -1495, -3407, -6087, -9535?\nAnswer: -13751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006094816 + 0.4?\nAnswer: 1006094816.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 != -0.79521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6864\/(-9360))\/(44\/(-168))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1899 and 31694?\nAnswer: -60186906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 188220.2.\nAnswer: -18822.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 = -3*b - 2*s - 202, 0 = -b + 3*s + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k. Let f(l) = 7*l - 4*l + 2*l. Determine f(y(m)).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sstsstsdsdsststj. What is prob of picking 2 d?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1745\/7 + 250. Suppose 0 = -37*q + 33*q + 8. Which is bigger: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 44 = -38*k. Let -8\/11*u**4 + 0 + 0*u + 0*u**k + 2\/11*u**3 = 0. Calculate u.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (639\/(-36) - -18)\/(2\/4394248*1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + 3.01. Suppose 3*t - k = -t + 17, 0 = -t + 5*k - 10. Which is the closest to 0? (a) g (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 12, i: 1}?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 29*c + 315. Determine h(-12).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 272\/119 + (-4)\/14*1. Suppose z + 3*u + 13614 = 4*z, h*z - u = 9072. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -9. Let x = 8 - r. What is the biggest value in x, -2\/7, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 40. Suppose -3*g + 9 = 4*a - 10, 4*a - g = 15. What is the least common multiple of j and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2602 + 2597.608. Which is smaller: g or -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 133347 = -5*k + 27*x, 0 = 3*k + 4*x - 79976. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*h + 0*h = -94, -2*k + 3*h = -221. Suppose -k = -4*t + 94. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2736)*-2 - sqrt(2736)) + (1*sqrt(152))\/sqrt(8)*-5)**2.\nAnswer: 164*sqrt(19) + 31943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b - 9*b)*(3 - 5 + 3)*(-3 + 8 - 1).\nAnswer: -44*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 497.2427561 rounded to two decimal places?\nAnswer: 497.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 395783 = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5612638010?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3914 + 2377 = -53*i for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = 2*t. Let m(z) be the third derivative of -1\/36*z**4 - z**2 + 1\/27*z**t - 1\/540*z**6 + 1\/90*z**5 + 0*z + 0. Factor m(l).\nAnswer: -2*(l - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*79.403447.\nAnswer: 79.403447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11331, 22659, 33985, 45309?\n\"Answer: -g**2 + 11331*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbdbbddddbdb. Give prob of sequence bb.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 take away 52?\nAnswer: -1074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 0)*3 + (-1 + (sqrt(500)*-1 - sqrt(500) - sqrt(500)))**2 + (sqrt(500) + sqrt(500)*1 + 5 + sqrt(500))**2*6 + 0.\nAnswer: 1890*sqrt(5) + 31651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 291879 + -5?\nAnswer: 291874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/15 - 2811\/15)\/(-2). Let f(d) = d**2 - 7*d + 8. Let o be f(6). Suppose -4 = -o*k + s. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-453))\/(-4)*(-34059)\/(-126). Let l = -2\/453 + t. Calculate the common denominator of 85\/22 and l.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 44\/16)*8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/9, 2, 47.8, -2 in descending order.\nAnswer: 47.8, 4, 2, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 594 = 5*a, -3*r = -2*a + 96 - 690. What is the greatest common factor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1500, 6977, 16104, 28881?\n\"Answer: 1825*c**2 + 2*c - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nffnfnnnnfhnf. What is prob of sequence nfh?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f + 51. Give x(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21739574639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -58, 3, -3248.\nAnswer: -3248, -58, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 3 in descending order.\nAnswer: 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 41 + -31 - (4 + (1 - -1)). Suppose p*k + 3*r = 15044, k + 0*r = 4*r + 3761. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + -33 + 43 - (1 + 4) - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**3 + 5*v**2 - 8*v + 6. Let r be y(4). Let z = r - 497. Solve -4*u + z = -5*x, 5*x = x + 4*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28451 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1393781 by -229.\nAnswer: -1393781\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1331 is divided by 323.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 5:02 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073790620 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*i + 22. Suppose -i*t + 2 = 2*y + 18, 4*t = 2*y + 2. Is -2 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51768?\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2118000 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 3*d**3 - 338845*d**4 + 338648*d**4 - 5*d**3 to the form z*d**3 + y*d**2 + m*d + r*d**4 + x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 1:10 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 3:55 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2160 is divided by 60.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 16 - 2. Calculate the remainder when 26 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) -2\/23 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378 and 1764.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3 - 4 = c, 3 = 4*s - 5*c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -60797, -62756, -66021, -70592, -76469, -83652, -92141?\n\"Answer: -653*r**2 - 60144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108395?\nAnswer: 5, 7, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -23*g**2 + 67*g - 31. Determine h(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7617322341 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**3 + 92*m**2 + 32*m - 3164. Give u(30).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**2 - 45*z - 42. Let n(w) = -2*w**2 - 23*w - 21. Let f(x) = 5*i(x) - 9*n(x). Determine g so that f(g) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-4 - -1)) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 15\/((-2)\/((-6)\/21) - 6)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) -40 (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 + 4*c + 16. Let j be a(8). Suppose 0 = 2*s + 4*q + 172, 0 = s - 5*s - 2*q - j. Let w = s + 181. List the prime factors of w.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 4636547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1381242, -1381210, -1381164, -1381098, -1381006, -1380882, -1380720, -1380514?\n\"Answer: f**3 + f**2 + 22*f - 1381266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-9) + 1)*-8337. Let a be z\/63 - (-4)\/18. Let u = a - -142. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1821 and -2?\nAnswer: 1819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 4*t + 15296*t**2 + 17100*t**2.\nAnswer: 32396*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 225, 0 in ascending order.\nAnswer: 0, 1, 5, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 + 1. Let u be x(1). Differentiate -13 + 41*c**4 + 1 - 50*c**u wrt c.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmkymmmmymmyymy. Give prob of sequence ym.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*h - 9, -93*a + 92*a + 3*h = 6*h - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 227\/3. Let g be (-24)\/4 - 1024\/(-168). Let q be 0 + (5\/10)\/1. Which is the nearest to q? (a) g (b) -0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 294246 or 294280?\nAnswer: 294246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -1\/4. Which is the closest to -0.2? (a) 3 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i - 2 + 57. Put i, -2, 11 in descending order.\nAnswer: 11, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 84?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*o = -147*o + 45*o - 840 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8029500 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {a: 1, t: 1, w: 2, n: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*((sqrt(15)\/sqrt(5))**2 + 5) + (sqrt(33)\/(sqrt(275)*-2))**2).\nAnswer: 2403\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 216108920 - 216109129.001254. Let s = -209 - b. What is s rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1137? (a) -4\/3 (b) -0.3 (c) -1.3 (d) 5 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**4 + v**2 - v - 1. Let g(k) = -k**4 + 64*k**3 - 223*k**2 + 3*k + 3. Let r(x) = g(x) + 3*p(x). Factor r(n).\nAnswer: -4*n**2*(n - 11)*(n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 15 = 6*s - 11*s, -5*s - 15 = -18*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (16 + -16 - 9)) + -18.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g + 115690 - 232155 + 116469.\nAnswer: 8*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/((-6)\/(-2)))\/((-1512)\/126).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0)*(714\/(-34) - (-6)\/3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 364 - 364.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4557 - -4560. Solve 0 = 15*f - 10*f - 5*u + 45, 0 = t*u - 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -3*o - 3*c, 3*o - 4*c - 9 = 4*o. Let v be (o\/(-12))\/(3\/(-372)). Let q = -57 - v. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6645, 5, 1.\nAnswer: -6645, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8956?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57.117 - -0.117. Let z = -56 - c. What is the nearest to z in 0, 5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/117)\/(1110\/7992)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i - 12 + 51 = -12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10161 divided by 3?\nAnswer: -3387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**3 - 920*u**2 + 400*u - 908. Calculate a(131).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9*y - 8. Let v(n) = -9*n + 9. Determine -5*u(m) - 4*v(m).\nAnswer: -9*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*w - 56 = 0, -5*s + 548 = 4*w + 344. Calculate the greatest common factor of s and 4829.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1166 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4572 divided by 1.\nAnswer: -4572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -5. Let f = 2 + t. Which is the smallest value? (a) -0.2 (b) 0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17682 to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -1.768?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 65686562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 90561, 90575, 90589, 90603?\n\"Answer: 14*p + 90547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 210*r + 78*r + 18*r - 3978 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.4 (b) -0.3 (c) 8 (d) -5.245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -11*t**4 - 34*t**3 - 32*t**2 - 6*t. Let i(r) = 10*r**4 + 34*r**3 + 32*r**2 + 6*r. Let o(l) = -6*i(l) - 4*s(l). Factor o(d).\nAnswer: -4*d*(d + 1)*(d + 3)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**(5\/3)\/j)\/j)*j*j**(11\/2))\/(j*j**6)**(-1\/20) assuming j is positive.\nAnswer: j**(491\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*6\/(-27))\/((-8)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143564 is divided by 10773?\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1208000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdk. What is prob of picking 1 z and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 21725?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s. Suppose t - 852986 - 647014 = s. Round t to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -13, -3.\nAnswer: -13, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - 0.17. Let r = -19.42 + 15.5. Let s = r + -1.08. Sort s, 2, l in decreasing order.\nAnswer: 2, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r - 16. Let z(s) = 2*s**3 - 3*s**2 - r + 2 - s**3 + s. Determine z(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 6:41 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 2. What is the closest to -1 in 0, y, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 17 = -5*r + 19, -r - 4*c - 6 = 0. Suppose 0 = -q - q - r. Let u = q + 5. Solve u*o = -5*t - 10, 7*t + 20 = 2*t - 4*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkkk when four letters picked without replacement from {k: 3, h: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-56)\/140)\/(118\/120 - 1). Suppose 12*o - 28800 = -d*o. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 16639381665?\nAnswer: 16639381665.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 4. Let g be d(4). Let a be 9\/g + 2\/(-8). Solve -a*k + 2 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - 2610\/(-2436). Which is the nearest to 7? (a) h (b) 1\/3 (c) -0.07 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 17, k: 1}. Give prob of sequence iii.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -25*t**2 + 3*t - 4. Let y(r) = -51*r**2 + 7*r - 9. What is 7*s(h) - 3*y(h)?\nAnswer: -22*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8110 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15377 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12694876.\nAnswer: 2, 1091, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*s - 1 - 22 + 25 in the form j + c*s and give c.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3*u = 12, 4*a + 4*u = 8*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2090 = 2*c - 2*y, 0 = 11*c - 16*c + 4*y + 5224. What are the prime factors of c?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*w - 28*w - 3*w**4 + 80*w + (-3*w + 0*w + 5*w)*(2*w**2 - 2*w**2 + w**3) to q*w**4 + f*w**3 + d*w**2 + j*w + v and give j.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/24 and -29\/329376?\nAnswer: 329376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10655 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*p = -12, 2*f + 4*p - 28 = -0*p. Suppose 2*g + 12 = 4*h, -2*g - 8 = -f*h + g. Suppose 0*r + 3*y = -r, 0 = -h*r - 3*y + 12. Sort r, 4, -5.\nAnswer: -5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 5*g**2 - 7*g + 8. Suppose 36 = 4*r + 4*j, 6*r - 4*r + 5*j - 27 = 0. Let i be c(r). Solve i = -8*v + 4*v + 2*w, 4*v + 17 = 5*w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 = l, 5 = u + 2. Let q(d) = 3*d**2 - 14*d - 3. Is q(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507776401 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 s(d) = -d - 1. Let c(v) = v**2 + 5*v - 4. Suppose -m + 8 = -2*m - 3*q, -4*m - 2*q = 22. Let x be c(m). Calculate s(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 2227627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -11*m - 24*m. Calculate the lowest common multiple of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -21) + 36 + (-38 - 36)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 5 = 67. What is the greatest common divisor of 16 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**2 - n - 1. Let r be u(-1). Let d be (-3)\/9 + 32\/r. Differentiate 3*p + 3*p - 4 + d with respect to p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185\/4 + 45. Let z = -60.9 + 60. Let t = -0.95 - z. What is the biggest value in x, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4905102 is divided by 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmdxdgfdgd. Give prob of picking 2 d.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 16 = -0*i. Suppose 0 = r - i + 2. Let g(z) = -z**2 + 9*z - 7. Determine g(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from rwtgrxdg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 3*a = -30, -4*p - 55*a = -112*a + 49*a - 24 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 29506*t - 29503*t = -23, -59 = 2*c - 9*t for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9 + 57\/(-6) + 40\/6 and 39\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millennium in years?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**5 - 376*a**4 - 4084*a**3 - 12304*a**2 - 13840*a - 5248 = 0. Calculate a.\nAnswer: -82, -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2757 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 82, 237, 538, 1033?\nAnswer: 1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128.9 + -129. Let q be 0 - (-9)\/11 - 1. Which is the closest to u? (a) -2\/9 (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {u: 1, r: 2, s: 1, n: 1, a: 1, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 12*y**2 - 5*y - 19. Let l be z(-6). Suppose -6517 = -l*t + 652*t. What is the greatest common factor of 49 and t?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*q - 382*q + 119*q.\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -8*x - 20*w - 10 + 32, 10 = -4*x - w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1065 divided by 3\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, 4, 2565, -2 in decreasing order.\nAnswer: 2565, 8, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.8 (b) 3 (c) -396 (d) -2.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/5 - 2376*k**2\/5 - 27972*k + 1767718512\/5.\nAnswer: -(k - 732)*(k + 1554)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34700 and 2300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + -15 - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2049 and 10389.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -29. What is the units digit of 9\/s*40\/18*12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924020339 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - l. Let a be p(1). Let c(d) = 4*d**2 - d - 3*d**a - d - 1. Determine c(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 10. Suppose -6 = h*k - 58. Solve y + k*y - 10 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 + -1.03. Let f = g - 1.1. Which is the third smallest value? (a) f (b) -0.2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -938000 to the nearest ten thousand.\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (22\/99)\/((-7)\/(-4977))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/60)\/(2\/(-6))*-29. Which is smaller: r or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1010*a**3 + 31627*a**2 + 1008*a**3 - 31627*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5*7\/(-140))\/((-4)\/(16\/(-3))). Which is the second smallest value? (a) -4 (b) -0.4 (c) 75 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -501915, -501907, -501899, -501891, -501883?\nAnswer: -501875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r - 3*c + 258 = 0, 5*r - 5*c = 250. Calculate the greatest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 3*f + 1. Let p be o(-3). Let g(z) = 3*z**2 - z + 2. Let l be g(p). Suppose 9 + 331 = l*x. What is the remainder when x is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.125227 rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 7*d - 3. Let f be a(6). Suppose o + v = 1, 3*v - f = 5*o - 0*v. Solve 4*u + 12 = -o*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4))**43\/(k**(-3\/5)*(k\/(k\/k**11))\/k) assuming k is positive.\nAnswer: k**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/10*(5\/(-6))\/((-291)\/873).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*a - 10, 0 = -3*w + 5*a - 6 + 61. Suppose 98 = 2*k - w. Calculate the greatest common divisor of 135 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.394 and -129.\nAnswer: 50.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.014 rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7078, -7400, -7726, -8056, -8390?\n\"Answer: -2*d**2 - 316*d - 6760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Suppose 5*z + 20 = 5*d, x*z - 4*d + 2 = -6. Let p be z\/20 - (-336)\/15. Do 23 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26324987413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26712716 and 13460.\nAnswer: 2692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -1. Let x = 2\/455 + 36\/91. Which is the closest to l? (a) x (b) -5 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -15. Let h(q) = q**3 + 8*q**2 - 3*q + 8. Does 6 divide h(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9 = 3*g, 0 = f - 3*g + 11 - 2. Solve -2*u - 2*u + 5*v + 40 = f, -4*v = -2*u + 26 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1259862, 4, -0.2 in ascending order.\nAnswer: -0.2, 4, 1259862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2732, -1204 in increasing order.\nAnswer: -1204, -1, 2732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/9*(-662625)\/330. Let m = z + -2672. Which is greater: 5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22939379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2. Let x(y) = -202*y + 45. Let w(t) = 2*s(t) + x(t). Differentiate w(k) wrt k.\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 1. Let f be (2\/3)\/(t\/(-30)). Let n be (15\/(-156))\/(-1) - 9\/36. Which is the third biggest value? (a) n (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51339.2622 minus 17770.8?\nAnswer: -69110.0622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2333.\nAnswer: 4\/2333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31105 (base 10) in base 6?\nAnswer: 400001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -13. Let x be -1 - d\/(2 - 5). What is the closest to 0.1 in x, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -67\/22, 1\/2, -0.3, 8.\nAnswer: -67\/22, -0.3, -0.2, 1\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14586 and 239561322?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b + 1. Let f(x) = -x**2 + 3*x + 5. Let c be f(4). Let r(l) = -1. Let g(i) = c*h(i) + 4*r(i). List the prime factors of g(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1 + j + 0 + 0. Let l(c) = -3*c - 6. Let y(z) = -l(z) - 4*n(z). Let h be y(0). Calculate the highest common divisor of h and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2 - 361*i - 28. Let l be j(57). Which is the third smallest value? (a) l (b) -1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 13*c**2 - c + 14. Let h be s(13). Let o be ((-6)\/4)\/((-4)\/8). Factor -2*z**2 + z - z**3 - h + 0 + o*z**2.\nAnswer: -(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194 + -5 + (1 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*i**4 - 1236*i**2 + 4484.\nAnswer: -16*i**3 - 2472*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/50)\/(-2)*-10. Let f = -373 - -373.4. Let x = -2 + 3. Which is the nearest to x? (a) o (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 124052232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120137, -240291, -360445, -480599, -600753, -720907?\nAnswer: -841061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 26. Let x = -7.3153 - -7.3153. What is the nearest to 2 in x, r, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23174089 is divided by 1979.\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1066*o**2 - 4 + 4 + 1067*o**2. Let v(s) = 15*s. Calculate v(m(f)).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 - 300394062.84.\nAnswer: -300394063.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.33591292 to two decimal places.\nAnswer: -11.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(9)\/sqrt(3) + -3 + sqrt(84)\/sqrt(7) + sqrt(3) - (4 + -1*sqrt(300) + -1)**2.\nAnswer: -312 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17040435233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(931))**2*-2.\nAnswer: -1864 - 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/9, 3, 0.04 in descending order.\nAnswer: 4, 3, 0.04, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/23*k**3 + 40\/23*k**2 + 66\/23*k - 108\/23 = 0.\nAnswer: -18, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33030321 (base 4) in base 12?\nAnswer: 30049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 * -13\nAnswer: -32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/2 - 85\/2*p - 53*p**2 - 1\/2*p**5 - 29*p**3 - 13\/2*p**4.\nAnswer: -(p + 1)**3*(p + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/3809 or -1\/3753?\nAnswer: -1\/3753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128 * 3404088.\nAnswer: -435723264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -1. Let d be (-5 - t) + (2 - 2). List the prime factors of 37*(-4)\/d + 1.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g = 36*g - 88*g + 2490. Suppose -4 = 7*t - 9*t. Calculate the highest common divisor of t and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 2*c - 2. Let a(y) = -711*y**2 + 12*y + 11. Calculate a(w) + 6*m(w).\nAnswer: -717*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -13*l - 1194. Determine f(-44).\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r + 19912*r**3 - 20129*r**3 + 2*r - 72 wrt r.\nAnswer: -651*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -33. What is the closest to -1 in 3, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -226102\/13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 5*a + 1.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -5 - 3 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 23 - 7 - k)*(-3 + 23 + 29*k - 14) in the form m*k**2 + h + s*k and give s.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6*i. Suppose i = b - f - 76 - 81, -4*f - 786 = -5*b. Let h = b - 1424\/9. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1932 - -2025. Calculate the remainder when 134 is divided by i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 52273215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1214023, 34, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 + -145.2. Let v = -22.2 - g. What is the second smallest value in v, 5, 1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 134875035 and 36.\nAnswer: 539500140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7 + 287076\/28 + 9\/7 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -446*o**5 + 15*o**3 + 21401*o wrt o?\nAnswer: -8920*o**3 + 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 - 191. Let i = l + 84. Suppose i = h + h. Calculate the remainder when h is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 27546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from pxfrfuq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2. Let a(b) be the second derivative of b**4\/6 + 6*b. What is x(a(s))?\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182*j - 61*j + 182*j - 30*j to the form c*j + b and give c.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-536)\/(-402))\/(1*(-1)\/66). What are the prime factors of 812 + 11*(-16)\/d?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7841301, 7841300, 7841297, 7841292, 7841285?\n\"Answer: -k**2 + 2*k + 7841300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrmrmrrlllmmrm. Give prob of sequence rrl.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s = -3*o + 168, o = -3*s + 252. Let h = -54 + s. Let k be 3\/4*(h\/(-5) - -46). Calculate the greatest common divisor of 12 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 66 + 79)*(-4*y + y + 2*y + (0 + 4 - 5)*(-3 + 2*y + 3)).\nAnswer: -399*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5880)\/22050 - 262\/30?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -787, -3210, -7379, -13402, -21387, -31442?\nAnswer: -43675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*((-3)\/(-2) - 1). Suppose -5*h = -2*u - 7530, -2*u + 2998 = -0*h + 2*h. Let k = h - 94750\/63. Is k greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -108*2\/44*891\/108*2.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2. Let s(v) = 13053 - 13053 + 109*v. Determine s(j(o)).\nAnswer: 218*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfvg when four letters picked without replacement from fgvgglwgcfvlg?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 32. Is 7 a factor of 12\/x*84\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*s**3*w*z - 795*s**3*z + 2*s**2*z**2 + 10*s*w*z**2 - z wrt w?\nAnswer: 12*s**3*z + 10*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 299*k**5\/10 - k**4\/24 - k**3\/3 + 6*k**2. Is h(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 668538 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -101001101000011 (base 2) to base 15\nAnswer: -64b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72) + (sqrt(72) + (-4 + (sqrt(72)*2 - sqrt(72)) - sqrt(72)) - sqrt(72))) - sqrt(72))**2 + 4.\nAnswer: -48*sqrt(2) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((255\/(-17))\/(-45))\/((-20)\/24*24\/(-480)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 18. Let n be r(21). Solve s + 5 = -n*i, -4*s + 7 = 2*i + 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (17 - (-36)\/(-16 + 10)) + 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/6840 and -56\/171.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 108 = 172. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111001101 (base 2) in base 12?\nAnswer: -18b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9216*x**2 - 384*x - 4.\nAnswer: -4*(48*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*i - 64639 - 11*i + 64323.\nAnswer: 93*i - 316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71175 and 585.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 1\/116, 0.4, 0.6?\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88136 and 120900558.\nAnswer: 483602232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 41 = -3*w + 17 + 5, 9*w - 58 = 7*w - 6*f for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 1. Let x = -0.2 + -3.8. Let s = x - -6. Which is the smallest value? (a) s (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*g**2 - 17*g**2 + 205*g**2 to the form j*g**2 + n*g + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 0*m - 27 = -2*h, -2*m = -4*h - 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*o + 3*s - 9, -5*o = 3*s - 12. What is the tens digit of (-11008)\/(-12) - 1\/(o + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69691*q + 26371 wrt q?\nAnswer: -69691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 62?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = 8. Suppose -3*z + 2*z - 5 = 5*m, 11 = j*z + 3*m. Suppose -2*t - f = -41, -5*t + 85 = 2*f - 3*f. What is the least common multiple of t and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.82 - 5. Let w = k + -1.82. Which is the second smallest value? (a) -3 (b) w (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -764 and -7995.\nAnswer: 6108180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2 (c) 20.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + -2*sqrt(156))*-4)\/(sqrt(132)\/(1*sqrt(11) + sqrt(11))).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 8*j = -3*j, -2*x + 3*j + 25 = 0. Solve -d - 4 = 5*w, x*w + 0*d + 6 = d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/2 + 47789*b + 11359621\/2 = 0. Calculate b.\nAnswer: -95459, -119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 3*l + u - 39, 0 = -3*l - 3*u + 63. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*i - 5. Suppose 0 = -5*x - i*y + 54, 33 = 3*x - 5*y - 18. What is the highest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*a - a = -500, -2 = -a. List the prime factors of x.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 502756, 502547, 502190, 501685, 501032, 500231?\n\"Answer: -74*b**2 + 13*b + 502817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 609.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50362 = 9*t - 63358. Calculate the highest common divisor of t and 1824.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 24 - 33*i + 55*i - 2*i**2 - 24*i = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -889 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -3)\/((-2)\/(-2)). Let c(g) = -1. Let h(w) = -2*w + 6*w - 3*w - 1 + w. Let o(d) = -6*c(d) + h(d). What is o(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 6:23 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqk when three letters picked without replacement from offfkqoifxfo.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960.528243 rounded to the nearest ten?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -241775 divided by 79?\nAnswer: -241775\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4 + 1008*h**3 + 1017*h**2 - 2022*h = 0. What is h?\nAnswer: -2, 0, 1, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:20 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000748476 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.488 less than -4.35?\nAnswer: -4.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 4. Give h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 537295*q - 537300.\nAnswer: 5*(q - 1)*(q + 107460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, g: 2, f: 3, b: 1, a: 3, u: 7}. What is prob of sequence auf?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 63 = 2*s. Suppose 2*u = g - 26, -4*g - u = -s - 38. Suppose -6*w + g = -2*w. Solve 0 = -w*h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -107?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1477, -1473, -1469, -1465?\nAnswer: -1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 170 + -170.35. Let s(a) = -a**3 - 12*a**2 - 2. Let x be s(-12). Let h be (2\/6 - 0)*x. Which is bigger: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (174\/(-1305) - 22\/15)\/(-1). Determine h so that -2\/5*h**2 + 0*h + 2*h**3 + 0 - k*h**4 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.025, 291, 0.5, 0.14 in ascending order.\nAnswer: -0.025, 0.14, 0.5, 291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c. Let i(o) = -36*o**2 + 47*o. Let z(t) = 19*t**2 - 26*t. Let y(j) = 4*i(j) + 7*z(j). Calculate v(y(u)).\nAnswer: 33*u**2 - 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 13039 + 6961 = 0. Let y be 510*-3*c\/(-3). What is y rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 190 - 180. Suppose -43 = -3*b - u, 3*u - 17 = -q*b + 8*b. What is the remainder when 104 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -8\/967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 2 = 5*c, -p - 97 = -c - 98 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-32 + 40 - 1256\/(-18)) + (2\/9)\/1\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 235?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 260948*m + 10692144.\nAnswer: 4*(m - 65196)*(m - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/416 - 14355\/416. Calculate the common denominator of 13\/32 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(288) + sqrt(288) + -1 + -5.\nAnswer: -4 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 2. Let f(s) be the first derivative of 3*s**2 + 7*s - 135. Calculate -4*f(q) - 14*g(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3\/6 - (-366 + -11)*(-141)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2123888?\nAnswer: 2, 13, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 26*f**2 + 108*f + 103. Let o(z) = -23*z**2 - 109*z - 104. Let k(l) = 6*n(l) + 7*o(l). Factor k(y).\nAnswer: -5*(y + 1)*(y + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s. Let h(b) be the first derivative of -17\/2*b**2 + 0*b - 26. What is h(c(d))?\nAnswer: -51*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-15 + 19) - (0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7475 is divided by 7464?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -32118*o + 1. Let k(l) = -4*l**2. Determine w(k(d)).\nAnswer: 128472*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 68*s + 28. Determine a(4).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -4)\/(11\/((-11)\/2)). Let w be (-4 + (-14)\/j)*6\/(-20). Let q(l) = -8*l - 24. Let r be q(-3). Which is the nearest to -3? (a) w (b) r (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1046, 4, 5 in decreasing order.\nAnswer: 1046, 9, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - -59.4.\nAnswer: 59.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 4237.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 370702458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 26*f - 11 + 43 + 0*f + 34. Let n be i(-4). Sort -5, 3, n, 5 in ascending order.\nAnswer: n, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3879\/(-351) + 62\/1209?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4409585 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p - 4. What is the units digit of b(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.05, -0.01 in descending order.\nAnswer: 0.1, 0.05, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213951380 is divided by 555.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 8. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105 * -5.\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-18))**0 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226032 = 5579*r - 817406 for r.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 16 = 2*c. Calculate the remainder when 26 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108758 divided by 6.\nAnswer: 54379\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**2 - 488*z - 5280 = 0.\nAnswer: -110, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71066 (base 9) to base 10.\nAnswer: 46716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 10*s - 24. Determine w(-15).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - -3. Let a(g) = g**3 + 7*g**2 + 11*g + 6. Calculate the least common multiple of 1*(3\/1 + d) and a(-4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**2 - 5634*t - 363132 = 0.\nAnswer: -2751, -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3.2 (b) 2\/67 (c) 0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2947017 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 82 - (-3)\/(-1). Suppose 3*y + k + 3*k - 59 = 0, 4*y = -5*k + z. Let l = y + -17. Sort l, -2, -8 in descending order.\nAnswer: -2, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - -6. Let n = p + -22. Which is the smallest value? (a) n (b) 0.2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107538\/17 - 6318. Let k = x - 456\/85. What is the common denominator of 101\/4 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**4 - j**2 + 0*j**4 + 86 - 95 to the form n*j + c*j**4 + h*j**2 + b + o*j**3 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q + 53*q + 140 = 0 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127075 is divided by 104.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 9*b**5 + 511*b**4 + 6060*b**3 + 20336*b**2 + 17856*b - 5040 = 0.\nAnswer: -42, -10, -3, -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3408 and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1078 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 140.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*m - 1632, g - 6*g + 5*m = -8150. Is 74 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144807092 or -144807093?\nAnswer: -144807093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22000 and 2854000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 42\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 19, 214.42, -0.3, 19\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109\/5, -1\/3, 4, -55\/184 in descending order.\nAnswer: 4, -55\/184, -1\/3, -109\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1081*u**3 + 705*u**3 - 310*u**3.\nAnswer: 1476*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49923927.\nAnswer: 3, 89, 62327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y + n + 119 = 0, 4*y - 3*n = 93. Let w be -1 + 138\/y + -5. Sort -10, -5, 2\/3, w in ascending order.\nAnswer: -10, -5, w, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-27 - -6) - (-14 - (9 - 20)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23657\/2 - 11865. Which is the second smallest value? (a) 1\/6 (b) -0.3 (c) s (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 17*g**3 - 47*g**2 + 9*g - 42. Is n(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 13) to base 4\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27375129 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/2 + 2*d**4 - 8*d**3 - 8*d**2 + 24*d.\nAnswer: d*(d - 2)**2*(d + 2)*(d + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.06 + 0.14. Let w = c - 3. What is the closest to 1\/3 in -3, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1866865*m**5 + 1250920*m**2 wrt m?\nAnswer: -112011900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 8*y + 4. Give z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*p - 80. What is the least common multiple of 7 and p?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3568, 3660, 3818, 4042, 4332?\n\"Answer: 33*x**2 - 7*x + 3542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 15*q - 36*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 2651543339.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 23, -30, 0 in descending order.\nAnswer: 23, 8, 0, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3) - (-50)\/6. Let s = w + -12. Let q(h) = -3*h**2 + 3. Let f(z) = 3*z**2 - 3. Let g(r) = s*q(r) - 2*f(r). Factor g(n).\nAnswer: 3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301769649 divided by -33529961?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2186, -3, 53.\nAnswer: -2186, -3, 14, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.6 + 31. Let d = 348 - 220. Let u = -895\/7 + d. What is the second biggest value in v, u, -2, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0 - 7*n**3 - 4*n**3 + 0 + 7*n. Let t(o) be the first derivative of -3*o**4\/2 + 2*o**2 + 167. Determine 3*d(g) - 5*t(g).\nAnswer: -3*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(2 + -4 - 0). Suppose -14*m + 13*m = -z. Suppose -3*r + 2*r = -3*x + 49, -2*x = 4*r - 42. Calculate the remainder when x is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((82\/820)\/(6\/45))\/((-802)\/200 - -4)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**3 - 15*i**2 + 9*i - 3. Let a(l) = -3*l**3 + 14*l**2 - 9*l + 3. Let p(r) = 6*a(r) + 5*x(r). Determine g so that p(g) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.022 (b) -4\/3 (c) -5 (d) 4 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-644)\/(-42))\/(-23)*504\/(35\/5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2596 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 460*l**3*n**2 - l**2*n**2 - 252*l**2 wrt l?\nAnswer: 2760*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97526?\nAnswer: 2, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/8*((-360)\/1890)\/(5\/45)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*w + 8 = 0, -2*w + 4*w + 8 = 0. Suppose -2*f = 4*c - f - 55, 65 = y*c - 4*f. What is the units digit of -5*(-1 - (-9)\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 divided by -204395.\nAnswer: 177\/204395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (90\/105)\/((-7)\/(147\/(-12))). Let m(r) be the second derivative of h*r**2 + 0 + 7\/12*r**4 + 0*r**3 + 7*r. What is the first derivative of m(k) wrt k?\nAnswer: 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:08 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:34 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -167033.845 to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {j: 1, l: 3, g: 11, p: 1, x: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 5\/172304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = -889. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25129867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in -1\/3, 1445, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*o - 4 = 8, 0 = -4*a + 2*o + 4. Let v be (-9)\/(-9) + -2 + 0. Is v <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - l**2 - 4*l. What is m(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-u - 5 + 5) + 35 - 12 - u - 66.\nAnswer: -3*u - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/44254?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212 - -22211210021?\nAnswer: 22211201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.3, 37\/2, 2, 10, 1\/2, -108.06?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - n**2 - 2690*n - 200. Calculate t(0).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**5\/20 - x**4\/12 - x**3\/6 + 19*x**2 - x. Suppose -115 = -38*q + 265. Calculate the remainder when z(0) is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942816009.\nAnswer: 3, 1291, 243433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.651956cm in micrometers?\nAnswer: 86519.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/2*(-7)\/(-14)*16\/(-12))\/26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 + 45*l)*((-l - 2*l**2 + l)*(-2 + 1 + 3) + 0*l**2 + 3*l**2 - 4*l**2).\nAnswer: -225*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 53\/6194459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*h + 473 = 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006636863354 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*n + 2*n - 6*n)*(-1 + 1 + 2) - 3*n + 6*n + 0*n + 3*n - 3*n - 2*n)*((-3*n + 61 - 61)*(-4*n**2 + 4*n**2 + 12*n**2) - 16*n + 16*n - 5*n**3).\nAnswer: 41*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103445*b*k**3 + 16707*b*k**2 + 69*b*k - 96*k**6 - 2*k**2 - 2 wrt k.\nAnswer: 620670*b - 11520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 1:56 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c + 0*c + 3*c + c + 1 - 1 + (0 - 3 + 5)*(2*c - 3*c + 3*c) - 2*c - 1 + 1.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 24*j + 11. What are the prime factors of q(7)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(-6 - 9*t + 4 + 12).\nAnswer: 18*t - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/16)\/r**(-1\/9))**(-45))**(-2\/19) assuming r is positive.\nAnswer: r**(35\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 + 66*f + 5. Calculate i(-15).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) 1 (c) 0 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) 56 (b) -2 (c) 1\/4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 177 + 319. Suppose 3*y = 0, 341 = -j + 2*j + 2*y. What is the greatest common factor of m and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 3*t - 3*t)*(-9*t**2 - 14*t**2 + 22*t**2 + 1).\nAnswer: 7*t**3 - 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 91 = 71 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 2354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*n - 36, -1 = -2*n + v - 19. Let z(s) = s - 8 - 6*s + 2*s. Is z(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5764.\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from {m: 1, s: 2, p: 1, e: 1, y: 1, l: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - 7*d + 6. Let a(j) = j**2 - 4*j + 3. Let m(k) = -5*a(k) + 2*n(k). Give m(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 6413268*k + 160329825.\nAnswer: 3*(k - 2137731)*(k - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(1541\/(16 + 51))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (1 - 2) + 1. Let y be (2\/(2\/3))\/((-8)\/(320\/(-15))). Solve -y = -c - m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*j, 4*z = -0*z + 2*j - 2. Suppose f - 77 = z*f. Let l = 110 + f. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*m - 3*m - 3*n, 4*m = -3*n + 41. Let j(i) = 5*i - 25. List the prime factors of j(m).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -50.74. Let q = i + 0.26. What is the third biggest value in q, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 96*b**2 + 3 + 3*b**2 - 1. Let d be n(1). Determine m so that 40*m**4 + 88*m**3 - 33*m**2 + d*m**3 + 4*m**5 - 57*m**3 + 64*m + 193*m**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 2) + 77\/(-28). Which is the smallest value? (a) p (b) -4 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5149 divided by 1?\nAnswer: 5149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-2) + 2 + 0 + -1. Sort k, 2, -15, -4 in decreasing order.\nAnswer: k, 2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -284, -567, -850?\n\"Answer: -283*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 1872 = 1861 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 6*w**2 + 20*w + 205. Give p(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -0.4, -4, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.979 + 0.121. Let q = 1.5 + l. What is q rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3))**(2\/15)*((p\/(p\/(p*p*p**(1\/4)*p)))\/p)**(-2\/33)*((p*p**(-1\/2))\/p**(-1\/2))**(2\/5) assuming p is positive.\nAnswer: p**(173\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 27*p**2 - 9*p - 11. Let i be b(9). Suppose i = 14*w - 4387. What are the prime factors of w?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 17. Let s be v(-5). Solve -x = -3 - s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 0*h**4 + 0 - 1\/60*h**5 + 0*h - 1\/6*h**3 + 5*h**2. Let d(o) = 5*o**2 + 4. Calculate -d(w) - 6*g(w).\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/11 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/46 (b) -2 (c) 1\/54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/441)\/(2\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.3, -0.3, 2, -4, 3\/7, 7\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264144 is divided by 225.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*4\/(8\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04973 to three decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j + 19404 = 76*j + 289*j for j.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 - 12*d - 147. What is c(-21)?\nAnswer: 1428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**2 - 17*n + 51. Suppose 2*j + 5*o - 46 = 0, 4*j + 2*o - 14 = 46. What is the remainder when d(j) is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)*r*(r**(2\/27)*r)\/r*((r**2\/r)\/r)\/((r\/((r*r**(-1))\/r))\/r))**(-1\/5) assuming r is positive.\nAnswer: r**(-4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 226*g**3\/5 - 269582*g**2\/5 + 226444*g\/5 + 42912\/5 = 0.\nAnswer: -18\/113, 1, 1192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4022\/9, 2.3.\nAnswer: 0, 2.3, 4022\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2. Let s(d) = 58*d + 10. Give -6*f(l) + s(l).\nAnswer: 58*l + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -21. Suppose w = 4*i + 23 - 7. Let d(n) = -2*n**2 + 3*n - 1. Let l(v) = 2*v**2 - 4*v + 1. Calculate i*l(f) - 5*d(f).\nAnswer: 2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (40 + -17 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -171636, -343270, -514902, -686532, -858160?\n\"Answer: y**2 - 171637*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197453 is divided by 172?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85265 - -15370. Is k\/6*1\/5*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -102*x + 149. What are the prime factors of v(-10)?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54816 by -571.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -420697, -841396, -1262095, -1682794, -2103493?\n\"Answer: -420699*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 13*u = -4. Let q be 3*(u - -1) - -21. Suppose 0*z + 48 = 4*z. What is the highest common factor of q and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-7)*v\/(v\/v**(-9)*v)*(v**(-28)*v)\/v*v**(-16\/3) assuming v is positive.\nAnswer: v**(-151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 3*k**2 - k - 21. Calculate the smallest common multiple of p(-5) and 15.\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, -2\/9, -3\/4, 280869 in decreasing order.\nAnswer: 280869, -2\/9, -0.4, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1300 and 2005640?\nAnswer: 10028200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 189*l + 11524. What is u(-60)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 148999 * 11.8\nAnswer: 1758188.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102447452 + -70600350. Suppose 6*u + j = -6072898. What is u rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:30 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -12. Let d be 4\/14*(-35)\/(-5). Suppose 4*q - 9 = d*q + c, 4*c = 4. Solve q*n + 3*y + 13 = -24, -4*n = -m*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 981 and 872.\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*u = -6*m - 17, -6 = -2*u. Let t be (18750\/(-8))\/(m\/(-640)). Round t to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1936) + ((sqrt(1936) + 3*sqrt(1936))*4 - sqrt(1936)))*6)\/(3*4*sqrt(800)).\nAnswer: 44*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t - 1. Let s be c(8). Let d = s - 21. Is -6 + d + (-1323)\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 254*l - 124*l - 128*l. Let m(i) = 2*i. Determine 5*c(d) - 4*m(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2 + 5*n - 1. Let x(l) = 5*l**2 - 5*l. Let a(d) = -4*t(d) - 3*x(d). Let k be 5\/(-1)*(-1 + 22\/10). Is a(k) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -68*p + 73*p - 5, -v + 2*p + 3 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101301001111 (base 4) in base 8?\nAnswer: -21610125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67502*m**5 - 207*m**3 - 22868918*m**2 + 1 wrt m?\nAnswer: -4050120*m**2 - 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 589*g**2 + 180 + 183 - 363 to the form t*g**2 + a + y*g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 126 + -63. Calculate the greatest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 2554215411?\nAnswer: -2554215355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3084 and 35261428?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*a + 9. Let l = -5 + a. Suppose 5*k + 3*b - 75 = 0, l*k - 2*k = -b + 17. Solve 6*t - k = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -2, -1, 2, 5 in ascending order.\nAnswer: -2, -1, 3\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 5. Let k be o(0). Suppose 0 = k*i - 0*i - 30. Suppose i*r = 3*r. Solve 4*h + r*h = -16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*w**3 + 10*w - 89*w**3 + 168*w**3 - 2*w**4 to b*w**3 + o*w**2 + n*w + j + u*w**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbqqqbzzzzqbqzz. What is prob of sequence qq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzjkf. What is prob of sequence jm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 15) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -475*t - 5919. Calculate the remainder when 2200 is divided by n(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) + -2*(sqrt(72) - sqrt(72)*-1)) - sqrt(72))\/(4*(sqrt(40) + sqrt(160)\/sqrt(4))\/sqrt(10)))**2.\nAnswer: 81\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) -1896 (c) -3\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102027 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 2*t**2 - t + 7. Let i(g) = 2*g**3 - 8*g**2 + 2*g + 24. Let y(v) = -i(v) + 3*o(v). Let b = -10 - -7. What is y(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 3:56 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 2, m: 5, q: 5, a: 1, g: 1}. What is prob of picking 1 g and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 385010 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3804521?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 24, 276453 = 3*k + 135*h - 131*h. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2871 and 23661.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 941, -2 in decreasing order.\nAnswer: 941, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-30)*5*-15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 111?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -97*d**2 + 1\/10*d**6 - 12*d**3 + 19\/15*d**5 - 1\/2*d**4 - 2\/105*d**7 + 0 + 0*d. Find z such that a(z) = 0.\nAnswer: -3, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 10062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -37.7. Let n = 6 + a. Let s = -43.1 - -43. Sort 0, s, n in ascending order.\nAnswer: s, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121588 is divided by 455?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(((m**(-2)\/m)\/m)\/m))\/m*m*m)**(1\/54)\/(m\/m**(-13)*m*m\/m**(1\/2)))**30 assuming m is positive.\nAnswer: m**(-4150\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 637091.624 rounded to the nearest 10?\nAnswer: 637090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135296, -270600, -405904, -541208?\nAnswer: -676512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/6 + 1)*-6. Factor -1 - 1 + 0*i**3 + 0*i + i**3 - 4*i**c + 5*i.\nAnswer: (i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*50.5\nAnswer: -151.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.3, 4, -10194?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n + 7. Suppose -5*p = -1 + 26. Let c(k) = 10*k - 19. Let z(b) = 7*b - 13. Let j(h) = 5*c(h) - 7*z(h). Let g be 1*(1*-3)\/1. Give g*s(u) + p*j(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 684*j + 6. Let r be s(9). Let l be 2\/(-5) - r\/(-105). Let u = l + -221\/14. Calculate the common denominator of u and 79\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*x - 5*x. Let w be 2*-2 - ((-1188)\/(-11))\/54. What is the nearest to x in 0.1, w, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 370, -3\/13, 6\/11 in descending order.\nAnswer: 370, 6\/11, 1\/4, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5214, -5205, -5194, -5181, -5166?\n\"Answer: d**2 + 6*d - 5221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 9:39 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186818649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2478415114.\nAnswer: 2, 7, 177029651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.894525 decades?\nAnswer: 0.03894525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4626 + -4449. What is the remainder when 9733 is divided by b?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*v**2 - 57599540 + 57599540.\nAnswer: -161*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)*v**(-13)\/v)\/(v*v**(26\/7))**(1\/26) assuming v is positive.\nAnswer: v**(-22865\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 - 56*o + 347. What is the smallest common multiple of 28 and y(10)?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/104*(-2)\/3. Let s = 0.3 - 0.2. What is the closest to s in 0.3, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 55 = -23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 17*i + 13*i. Is 2595*(-8)\/i*14\/(-56) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -579 - -5.\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 2 + 2)*(0 + 1 - 3)*(50 + 17*n - 50)*(3 - 2 + 1).\nAnswer: 612*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/232 and -23\/1313.\nAnswer: 304616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/20*(-10)\/(-4). Let k be 5 + h - -5 - 8. Solve 0*l = -k*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -5*d, -62*z - 5*d + 5 = -66*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - 2*w + 0*w)*(42*w**3 - 80*w**3 + 42*w**3) as f*w + d*w**3 + q*w**2 + n + t*w**4 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = r + s, -r + 3*s = 44 - 31 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21701 + 21750. Calculate the remainder when 335 is divided by r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.045? (a) 2\/7 (b) 0.4 (c) 0 (d) 1.82 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1782 is divided by (-1974)\/(-11) + 135\/(-297)?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/88 and 73\/64.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*r + 3*n, 9*r - 4*n - 4 = 5*r. Calculate the remainder when 305 is divided by (23 - 5) + 2 + r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 2*i + 49. Let q be w(8). What is the common denominator of (71\/q)\/((-24)\/(-9)) and -143\/96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 1. Suppose -2*x - 3*o + 6 = 0, 3*x - 8*x + 36 = -3*o. Let m(s) = 5*s**2 + 2*s**2 + 1 - 1 + 4. Determine x*h(k) - m(k).\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.4. Let w = 33.1 + -33. Let d = 0.19 - -0.01. What is the closest to w in d, 3, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -401622, -401618, -401618, -401622, -401630, -401642?\n\"Answer: -2*t**2 + 10*t - 401630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -7 - 1. Suppose 3*x = -2*a + o*x + 108, -a + 43 = 3*x. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*p = 1724 + 1513 - 3525 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = 2951 - 3105 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 + 13 = 0, 2*w + 2*l - 1044 = 0. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159416875.\nAnswer: 5, 379, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Let s(p) = p - 4. Let i be s(4). Let y = 2071 + -2070. Solve -j*g + y - 10 = i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*u = 10, b + 23*u + 2 = 27*u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 477308252 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -98 (b) 1\/6 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420125 and 1872077.\nAnswer: 3361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-1 - -5) + -2. Let h(q) = -q + 5. Let k be h(4). Let t = -135 + 135. Solve l - k + t = a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, n: 10}. What is prob of picking 2 n and 2 e?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90766876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10316162, -20632320, -30948478?\n\"Answer: -10316158*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1636 + -1633. Let s(k) be the second derivative of 0*k**i + 2\/3*k**4 + 0 - 12*k - 9\/2*k**2. What is the derivative of s(a) wrt a?\nAnswer: 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8678 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 604, -134, -866, -1598, -2336, -3086, -3854, -4646?\n\"Answer: -b**3 + 9*b**2 - 758*b + 1354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s. Let w be j(8). Suppose k = -4*u + 2 + 8, w = 3*k - 5*u. Is (-1)\/((-3)\/k*2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3) - 56\/(-21). Suppose -5*j = 4*i - 37, -2*j + 1 = -3*j + p*i. Suppose -j*g + 394 = -76. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 108 and -4?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -41. Suppose a*m = m. Factor -2\/3*b + m - 2\/3*b**3 - 4\/3*b**2.\nAnswer: -2*b*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.615078 rounded to 2 dps?\nAnswer: 3.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57.6 - -137. What is z rounded to 0 dps?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 536250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 6 = 7*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 w when three letters picked without replacement from dwdwddhwdwhdd?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-2 - 12 - -9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c + 10. Let m be 766\/(-14) + 6\/(-21). Let t = m - -63. What is the tens digit of j(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 11*j + 302 = -8*j, 0 = -2*g - 5*j + 298. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x + 20 = 26*x. Suppose x*f + m - 28 = 0, 2*f - 3*m + 3 = 17. Put f, 4, -1, 5 in descending order.\nAnswer: f, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.157*0.87\nAnswer: -0.13659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 12*b**2 + 4*b + 13. Give t(-12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2. Let g(t) = t**2 + 5*t + 4. Let r be g(-5). Let h = r - 4. Let u(n) = n + h + 0*n + 0. Give i(u(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 216, 483, 856, 1335, 1920?\nAnswer: 2611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000127096 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7333695, 14667415, 22001137, 29334861?\n\"Answer: d**2 + 7333717*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3653698 = 13*t - 494602. What is t rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -45, -81, -135, -213, -321?\n\"Answer: -w**3 - 17*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -6. Let w = m - -7. Suppose 4*b = -3*k + 319, 6*b = 3*b - w*k + 240. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10330215 divided by -5\nAnswer: 2066043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149400 and 1098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -2.4.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*l = -387*l + 804*l + 1922 - 564 for l.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 22*t + 283. Suppose 18*z = 193 + 185. What are the prime factors of b(z)?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12201 - 1102211101012?\nAnswer: -1102211011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.14 + -20.04. What is the nearest to h in 0.1, -2\/3, -2.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.13132 millilitres in litres?\nAnswer: 0.08113132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5221, 5291, 5361, 5431, 5501?\n\"Answer: 70*z + 5151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 541167 bigger than 541167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:31 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(25\/5) - -13. Calculate the greatest common factor of 22 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 6:48 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*p = 256*p + 5205 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66220 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -11*o - 13. Let r(s) = 5*s + 6. Let i(v) = -13*r(v) - 6*u(v). Let z(j) = j**2. Give i(z(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 3. Let o be z(6). Let x be ((-30)\/(-18))\/((-1)\/o). Suppose m - 45 = -2*m. What is the highest common factor of m and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*659.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - 181*f + 1067. Let z be r(7). Let j be ((-6)\/20)\/((-12)\/5). Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5 + 24*b**4 + 66*b**3 + 72*b**2 + 27*b = 0 for b.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9*-5808.7732\nAnswer: 52278.9588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -534964 less than 1.4?\nAnswer: 534965.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 192, 207, 222, 237, 252?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d, 4*b + 2*d + 39 = b. Let z(o) = -o**2 - 15*o - 18. What is the units digit of z(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -111104?\nAnswer: 111104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 - 106.053. Let t = k + 3.053. Let a be -1 + (-1 - (-27)\/12). Sort 2, a, 2\/9, t.\nAnswer: 2\/9, a, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -42.652057.\nAnswer: -8.5304114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-27))\/((-12)\/27).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 2*x + 5. Let p be w(-3). Suppose -4*n = -5*c + 404, 3*n = p*c - 53 - 110. What is c rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1568796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4600591668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w - 76. Let x be z(15). Let n = 79 - x. Solve s + 3*c - 15 = 0, -n*s + s + c - 5 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 12*j**2 + 50*j + 578. What is the lowest common multiple of 216 and o(-14)?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (200\/(-1800))\/(1\/(-639))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145212383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from uttu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a625a6 + -1?\nAnswer: a625a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhlcuumhhlu. What is prob of sequence uhc?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -12 - 6. Find u such that -6\/7*u**4 + 0 + 2\/7*u + 8\/7*u**5 + 6\/7*u**2 - 10\/7*u**b = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3287385, 6574765, 9862155, 13149555?\n\"Answer: 5*v**2 + 3287365*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {t: 2, k: 3, a: 1, d: 8, h: 1, q: 1}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m. Let w(j) = 8*j**3 - j - 1. Let s be w(-1). Let o = 3 + s. Is q(o) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -99*l - 23. Suppose -5 + 33 = -n - 4*w, -15 = 5*w. Is f(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - w)*(4*w**3 - 25*w**3 + 0*w**3) - 25*w**4 - 43*w**4 + 23*w**4 in the form n*w + d*w**3 + u*w**2 + o + l*w**4 and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/((-18414)\/12))\/((-4)\/9)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 1 - (sqrt(6)\/sqrt(3) + -2))**2 - ((sqrt(960) + sqrt(60))\/sqrt(6))\/sqrt(5).\nAnswer: 25*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22540111 + -111?\nAnswer: -22540222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 265741*i - 1694. Is h(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 548 + 164?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 91 + 715. What is j rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 + 0*j**5 + 2*j**5 + ((0*j + 7*j - 3*j)*(2 - 2 + 1) - 2 + 2 + 2*j)*(-2*j**4 - 2*j**4 + 2*j**4).\nAnswer: -11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 11. Let s(q) = -2*q + 11. What is -2*s(c) - 3*u(c)?\nAnswer: c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30969 is divided by 3366?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -88*b + 3178. What is c(36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6879359021 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8062.782cm in nanometers?\nAnswer: 80627820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4194, 8379, 12564?\nAnswer: 16749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvvvyuy. Give prob of picking 1 v and 2 y.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 298.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/6*(-4)\/(10 + -9). What is the fourth biggest value in 5, p, -1\/4, -0.12?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.7 (c) -10 (d) 4 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 + -120020221?\nAnswer: -120012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/75146 and -47.\nAnswer: 75146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.16.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**8\/560 - r**7\/140 + r**5\/20 + r**4\/8 + r**3\/3 + 2. Let w(f) be the third derivative of q(f). Factor w(y).\nAnswer: -3*(y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90078949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -66460 (base 11) to base 4\nAnswer: -113201332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -18 + 4 + (-6)\/(-2). Calculate the common denominator of -9*4\/14*-1 and (-91)\/((-6)\/2 - v).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppsbpbmppp. What is prob of sequence pbpp?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.592802 rounded to 2 decimal places?\nAnswer: 38.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1319\/4 + -330. What is the closest to 0.4 in p, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 6) + (-110 - 1159182). What is d rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -14 (b) -1.3 (c) 1091.2 (d) -2 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 2*f**2 - 3*f**2)*(-9*f + f + f) + 7*f**2 + 6*f**3 - 7*f**2 + (-4*f**2 + 4*f**2 + f**3)*(-3 + 7 - 2).\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 2.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/33, 3.7, -0.2, 7, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 2. What is t(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 8. Let w(g) = 3*g - 9. What is -7*l(d) + 6*w(d)?\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 727128305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1632102377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10.07 and -1327401.\nAnswer: -1327390.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 22*w**2 + 35*w - 377. Is k(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2324*p - 8802 = 857*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -400 (b) -24 (c) 2 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226981 take away -2.2?\nAnswer: -1226978.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Which is the nearest to 3\/7? (a) 1\/5 (b) -443 (c) 7194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -143632127 + 39839519. Let h = f + -14668152. What is h rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 138\/5 - 63\/5*m - 3\/5*m**3 - 72\/5*m**2.\nAnswer: -3*(m - 1)*(m + 2)*(m + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16912 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {h: 1, v: 3, l: 5, t: 3, i: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-12)*(11 - 2 - 5). Put 5\/6, -3\/2, r in decreasing order.\nAnswer: 5\/6, r, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + 6*u**5 - 2*u**5 - 4 + u**5 + 4 + (-1 + 1 + 2*u**3)*(0*u**2 - 2*u**2 + 0*u**2) - u**4 - u**5 + u**4 - 3*u**5 + 2*u**5 + 8*u**5.\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/26 and 2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 - -68. Calculate the lowest common multiple of 20 and -16*(n + -6)*2.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 37. Let z be g(11). Let m = 29 + z. Suppose -m*b = 5*b. Solve 0 = 5*r - 5*v - 1 - 4, b = 4*r - 5*v - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 3*k + 12, -11*y = -8*y - 2*k - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 18 in ascending order.\nAnswer: 1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13\/39)\/(2\/30). Solve -10*q + y*q + 15 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.9268374 - -62.8731596. Let a = 68.8 - z. What is a rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q**3 - 61*q**2 - 12*q - 14. Let d be n(-10). Calculate the greatest common divisor of 906 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -2517, -5.1, 3\/2, -5, -4, -4\/9?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 3. Let h be i(9). Suppose -4*z = -6*z + h. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**2 + 5*h - 4. What is the remainder when v(3) is divided by (2 + 17)*(-1)\/(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9633 and 178752.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 315, -0.1, 2.6, -0.08, -29, 0.3, -2\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrzr when four letters picked without replacement from zzrzzrzzrrrzz.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -7. Suppose 2*n = 4*t + t - 29, 0 = -d*t + 5*n + 35. Let q = 6 - 6. Sort q, t, -3 in descending order.\nAnswer: t, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -88, -309, -764, -1573, -2856, -4733, -7324?\n\"Answer: -20*k**3 + 3*k**2 - 90*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 47791.\nAnswer: 3\/47791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7078 - 18210 = 19*x - 7637. Sort -2, 1, x.\nAnswer: x, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22266413 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*n - 19*n - 12*n**2 + (-2 + 2*n + 2)*(n + 0*n + n) + 0*n**2 - n**2 + 2*n**2 - 88*n**2 + 2247 - 2247.\nAnswer: -95*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -17584.901 to the nearest 100.\nAnswer: -17600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*t - 65*t = 36. Which is greater: 14 or t?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -376768 * -174\nAnswer: 65557632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 67\/(((-10)\/12)\/(305\/183)*(-10)\/(-5))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -229\/6 - -39. Let z be 2 - (60\/33 + 0). Sort z, 3, j in descending order.\nAnswer: 3, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(10*-3))\/(1\/108*6).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c1 + 133c?\nAnswer: 181d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/(84\/(-8))*-12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-6)*(-330)\/(-20). Let c = m - 3. Which is bigger: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32403022, -4, 0 in descending order.\nAnswer: 32403022, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5292, -5186, -4942, -4500, -3800, -2782, -1386?\n\"Answer: 10*q**3 + 9*q**2 + 9*q - 5320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*d - 293, -472 = 3*d - 4*z - z. Let p = -85 - d. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c**5 - 130*c**4 - 100*c**3 + 40*c**2 = 0. Calculate c.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*l + 4 = 2*l, 5*z + 3*l - 120 = 0. Let h = -18 + -116. Let c = 141 + h. Calculate the greatest common divisor of z and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 2*c + 2*c**2 + 4*c**2 - 3*c**2 - 3*c**2 + (-3*c**2 + 3*c**2 - 2*c**2)*(-1 - 3 + 5) + 5*c**2 + 0*c**2 - 4*c**2 + 68*c**2 - 28*c**2 + 46*c**2.\nAnswer: 85*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4415.745586 and 0.046?\nAnswer: 4415.791586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4211.9960645 + -4212. Round y to four dps.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 5*k + 5*k)*(-6*k + 4*k + 3*k) - 4*k**2 + 2*k**2 + 4*k**2 + 2*k**2 + 0 + 0 as f + w*k + p*k**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 571684*m*s + 2*m - 87306 wrt s.\nAnswer: 571684*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 = -201*l + 175*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)\/p*p)\/p**13*p\/p**(-9)*p*p*p\/p**(-4\/9) assuming p is positive.\nAnswer: p**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -91*s - 7. Let f = 31 + -32. Calculate the smallest common multiple of 9 and z(f).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = r + o, 0 = -0*r - 4*r + 3*o - 13. Let h be (-15)\/(-6)*r*2. Let x be (-4 + 2)*h\/2. What is the second smallest value in -0.1, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17787 and 62271?\nAnswer: 33564069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 13 = -w, 3*h + 5 = -5*w - 4. Solve -h*j = -7 - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(117) + 1) + 2.\nAnswer: -3*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 5*f**2 + f + 3. Let v be u(5). Calculate the greatest common factor of 32 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -10*f**2 - 4*f. Let a(d) = -9*d**2 - 3*d. Let r(h) = 14*h - 24. Let v be r(2). What is v*a(z) - 3*u(z)?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 m when four letters picked without replacement from vvvmvvvmvmvvvv?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -96.4429 in 2, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvlv when four letters picked without replacement from llvvv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32270?\nAnswer: 2, 5, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1946 is divided by 130.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.7 - -0.3. Let n = 5 - l. Let o = 9 + -4. What is the third smallest value in n, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388768679?\nAnswer: 13, 29905283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 78*r + 158. What is i(-41)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.9, 14\/3, 2?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:02 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**3 + 130*v**2 + 444*v - 56. Determine k(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2052, 2059, 2054, 2025, 1960, 1847?\nAnswer: 1674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 - 164*h\/7 + 3362\/7.\nAnswer: 2*(h - 41)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559756?\nAnswer: 2, 139939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 80. Let o(m) = 68*m + 7. Let w be o(n). Calculate the highest common divisor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 34607, 1651 in descending order.\nAnswer: 34607, 1651, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y**2 - 9*y + 7. Let c(v) = 5*v**2 + 5*v - 4. Determine -5*c(n) - 3*o(n).\nAnswer: -n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/518 and -47\/333.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**7\/399 - 11*d**6\/285 - d**5\/19 - 135*d - 3. Find i, given that g(i) = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**2 + 3*n - 4. Let r(z) = 7*z**2 + 3*z - 5. What is 7*r(j) - 6*w(j)?\nAnswer: j**2 + 3*j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2 - 9456*f - 18896 = 0. What is f?\nAnswer: -2362, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*4\/24*-12. Solve -6 = -h*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -a, 3*d - 4*a = -d. Solve d = z + 5*x - 10*x - 7, -3*x = 3*z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 216 = 3*p, -3*y + 53*p - 48*p = -240. Let z = -15 - -40. Calculate the highest common factor of z and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605 = 13*y + 380*y - 181 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(1352\/676)\/(2\/17).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(2112))\/(sqrt(6)\/(sqrt(72) - -2*sqrt(72))))**2.\nAnswer: 5702400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 10. Solve -10 = 6*j - p*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let s = u - -0.1. Let j = -63 - -187\/3. Which is smaller: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 0*f + 18. Let d be 5 + (2 - (f + -4)). Suppose -4*w = -3*z - 3*w + 329, d*z = -3*w + 525. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/(1\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -301 (base 6) to base 14\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9 + 13*d - 9 + 9 - d**2. Let f be y(14). Let w(q) = 40*q - 6. Let v(u) = -20*u + 3. Let o(t) = f*v(t) - 2*w(t). What is the derivative of o(x) wrt x?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*p + 164*p + 182 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**3\/3 + 5*j**2 - 15*j - 153. Calculate u(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/65 (b) -1\/2 (c) 1\/2 (d) -3 (e) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -39.15 - 0.5\nAnswer: -39.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32401490931*p + 32401490931*p + 40*p**3.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/19)\/u)\/u**6 assuming u is positive.\nAnswer: u**(-112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1580518908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 5*n + 5. Let s(f) = -f**2 + 3*f + 3. Let l(w) = 5*s(w) - 3*y(w). Let b(j) be the first derivative of -2*j**3\/3 + 18*j - 318. Give b(l(q)).\nAnswer: -8*q**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 53302, 106640, 159978?\n\"Answer: 53338*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-23)\/(828\/24))\/2. Let g = -4\/13 - 5\/26. Let u = 3.1 - 3. What is the closest to w in u, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16344 and 42024?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Is 15 a factor of (f + -2 - 15)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 29*j**2 + 22*j - 93. Does 6 divide v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 206714158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 16) in base 13?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - s = -0*s + 47, -3*c + 146 = -4*s. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -94, -50, 22, 122?\n\"Answer: 14*g**2 + 2*g - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2596.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*f**3 + 371*f**2 + 9840*f.\nAnswer: -f*(f + 15)*(19*f - 656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.92 + -0.08. Suppose o + 4*s = -6, 0 = 3*o + 2*s - 2. Is o less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p + 591 + 225 = 0. What are the prime factors of (3 + 0)*(-8416)\/p?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 75. What is the units digit of n\/6*3 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-45))\/((-9)\/30)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 10 = t, -13*t - 18 = -17*t + 5*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {i: 2, p: 4, z: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -10*u**3 + 16*u**2 - 13. Let g(h) = 7*h**3 - 11*h**2 + 9. Let v(d) = 7*g(d) + 5*z(d). Let n be v(2). Solve -2*x - 8*t + 3*t = -7, 6 = n*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2614 - 1558. Which is smaller: g or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 9*n**2 + 2. Let l be a(9). Let b(w) = -99*w**2 + 48*w**2 + 47*w**l. Let r(m) = 32*m**2. Give b(r(g)).\nAnswer: -4096*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 3*m + 2. Let q be w(-4). Is 8 - (3 - 1)\/q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 665234?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 36 = 8*i - 4*i, -44*n + 528 = 6*i - 11*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3\/5 + 1258*h**2\/5 + 12748*h\/5 + 20448\/5 = 0?\nAnswer: -8, -2, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -3, -14, 441 in descending order.\nAnswer: 441, -3, -14, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 4*o**2 + 6*o - 2. Give g(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**4\/12 + 88*m**2 - 1. Let u(k) = 2*k + 27. Determine c(u(j)).\nAnswer: -4*j - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**4\/12 + 13*r**3\/6 - 11*r**2 - 3*r + 24. Solve o(l) = 0.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.905*-2557.7.\nAnswer: 4872.4185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**3 + 11*h**2 - 57*h. Calculate the remainder when 438 is divided by w(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99931713 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1196 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 694 - 694.457. Round c to 2 dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 - 197*k - 4186\/3.\nAnswer: (k - 598)*(k + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.7 - -15. Which is the second smallest value? (a) -5 (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, p: 3}. Give prob of picking 1 p and 1 m.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 7:48 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/312 and 27\/104?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -120, -132, -142, -150, -156?\n\"Answer: j**2 - 15*j - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.022 - -0.022. Let t = 2021 - 2016. Which is the nearest to -2\/5? (a) n (b) t (c) 0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -61*v. Give f(1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 13 = 5*u, -o + 9 = -2*u - 4*o. Let t = -10.5 + 7. Let n = 3 + t. Sort n, u, 2\/15.\nAnswer: u, n, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - z**3 - 431*z + 3*z**3 + 11.\nAnswer: 2*z**3 - 431*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b75 (base 16) in base 15?\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-152)\/3*3\/2. Suppose -14*u + a + 412 = 0. Is u at most as big as 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 275, 294, 333, 398?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -7)*104\/(-624). Which is bigger: 2\/133 or o?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 - (14 + 29 - -14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 - 2*u**4 - 2*u**4 + (-u - 3*u**2 + u)*(-3*u**2 + u**2 + 3*u**2) - 2*u**4 + 3*u**4 + 0*u**4 + 6*u**4 - 61*u**2 + 118*u**2 - 3*u**4.\nAnswer: 2*u**4 + 57*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7107 - x + x**2 + 8*x**2 - 7060 + 6*x**2.\nAnswer: 15*x**2 - x + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + -116324?\nAnswer: -116351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 357120, 357116, 357112, 357108, 357104?\nAnswer: 357100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039545183 to 5 decimal places.\nAnswer: 0.00395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*v**3 - 6615874*v**2 + 2*v + 43582671?\nAnswer: -6*v**2 - 13231748*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2044203 - 4?\nAnswer: -2044212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 10:25 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 26620?\nAnswer: -26622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**5\/20 + p**4\/3 + 5*p**3\/6 - 3*p**2 + 2*p. What is the smallest common multiple of u(4) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from zzzzzozozzzz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*l - 2*n + 73, 0 = -4*n + 12. Calculate the remainder when (-167)\/(-5) - 4\/10 is divided by (-6240)\/(-345) - 2\/l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 54*t + 2 + 0.\nAnswer: -54*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2 (c) -6300\/151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 11*r + 43. Determine v(-11).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3 + 2*p**2 + 1345*p - 63026 wrt p.\nAnswer: 3*p**2 + 4*p + 1345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3867 - -3867.5. Suppose -3*z + v - 2 = -0*v, 5*v - 21 = 4*z. Which is the smallest value? (a) y (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -4 - sqrt(20)\/(sqrt(10)*1))**2 - (sqrt(96)\/(sqrt(3) - sqrt(144)\/sqrt(3)))**2.\nAnswer: -40*sqrt(2) + 562\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = 3*y. Let u = -22 + -48. What is the lowest common multiple of y and 51\/7 - (-20)\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4) + (-3 - -8) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28074 divided by 6\nAnswer: -4679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -271\/28625?\nAnswer: -271\/28625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -9) + (3 - (3 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1258, 1, -5 in increasing order.\nAnswer: -1258, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3949, 3, -11, -871?\nAnswer: -3949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 27. Let s(j) = j**3 + 10*j**2 + 5*j - 3. What is the least common multiple of 27 and s(z)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5) + -4 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/58)\/((-5)\/(-2)*(-96)\/(195840\/136))\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + (-440)\/32)*(6 + (-1026)\/243).\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 13*d - 4. Let q be c(6). Let s(x) = 10*x - 11. Let m(z) = 2*z - 2. Let f(i) = q*s(i) - 11*m(i). Let k(j) = -10*j. Determine k(f(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 - 92. Solve z + 8 = -2*y - 1, -4*y - 23 = -b*z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324783061?\nAnswer: 4523, 71807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.55 + -1.45. What is the second smallest value in n, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*v**3\/2 - 426*v**2 - 603*v\/2 + 121.\nAnswer: -(v + 1)*(v + 121)*(7*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, 362, -0.1, -0.08?\nAnswer: 362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n - 4*n)*(2 - 2 - 5 + (5 - 3 - 1)*(-3 + 4 - 2) + 4 - 4 + 4).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/26)\/s*(s\/((s\/(s**14*s))\/s)*s*s)\/s*s\/s**1*s\/(s**(1\/3)\/s))**(-44) assuming s is positive.\nAnswer: s**(-30250\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24436 * -0.52.\nAnswer: -12706.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -47*f**4\/12 + 24*f + 3. Let y(z) = 12*z. Calculate c(y(m)).\nAnswer: -6768*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 359584*c*u**4 - 9051*c + 16 wrt u.\nAnswer: 1438336*c*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2582878 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*z + 5992, -16*f - 3*z + 8958 = -13*f. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 3*m**2\/2 - 3. Let j(n) be the third derivative of n**5\/15 + n**2. What is d(j(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000034197 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 21*l + 69. Calculate u(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 6367*s - 6355*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3 - v - v - 3*v**2 - 1. Suppose -4*z + 75 = z. Suppose -5*t = z, -17 = s + 3*t + 2*t. Give c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -12*j + 11*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-2))\/((-5)\/50*-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-38760.\nAnswer: -31008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-4 - -28 - -12)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*u - 70*u - 61*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(((-20)\/(-112))\/(-5)). Let u = h - -26. Suppose 3*p = -p + 2*y + u, 2*y - 34 = -4*p. What is the remainder when 19 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 - 2*b + 323 = 0.\nAnswer: -19, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618 - 318 = 65*t - 13*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 + 7*s - 2. Let p(j) = 5*j**2 + 8*j - 2. Let u be 0 + (-3 - (2 + -42)). Suppose 2*g - h = 13, -7*g + u = -2*g - 4*h. What is g*p(n) - 6*z(n)?\nAnswer: n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -25*l**3 - 25*l**2 + 40*l - 50. Let a(v) = v**3 + 1. Let x(d) = -30*a(d) - h(d). Find y, given that x(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 9*l + 1. Let s be x(-4). Suppose -250 = -3*n - 6*d + d, -3*n + s*d = -230. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1\/3569 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 12*m - 125. Calculate n(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i\/i**(-3\/11))\/i))\/i**6*(i**1)**(1\/13)*(i*i\/i**(2\/5)*(i**(2\/5)\/i)\/i*i)**42 assuming i is positive.\nAnswer: i**(5406\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 y when three letters picked without replacement from {y: 7, n: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.975 - -0.025. Let t = -23 + p. Which is the second biggest value? (a) 3 (b) 5\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -229, 4, -3, -5, 2 in descending order.\nAnswer: 4, 2, -3, -5, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*q + 6*d - 4*d, -q + 2*d = -14. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 0.00046396?\nAnswer: 0.50046396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**3 - 2194*g**2 + 1944345*g + 1946538 = 0.\nAnswer: -2871, -1, 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*z**2 - 27*z**2 + 11*z**2.\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7237 + -0.712574. Let q = c - 0.0116. What is q rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3638 and 34882?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -304 (base 7) to base 9\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4539485441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00051113 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33, 36, 43, 54, 69, 88?\n\"Answer: 2*c**2 - 3*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**6\/15 + s**5\/5 - s**4\/12 + 7*s**3\/6 - 101*s**2. Let y(x) = 7*x**3 - 11*x**2 + 2*x - 6. Calculate 6*r(q) + 7*y(q).\nAnswer: q**3 - 5*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167196392 by -41416.\nAnswer: -4037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 882332 and 650.\nAnswer: 286757900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24648233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(10\/(-4)))\/(312\/(-390))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 3*i**2 - 1. Let b(j) = -j**3 + 208*j**2 - 707. Let m(f) = b(f) + 4*u(f). Differentiate m(t) wrt t.\nAnswer: 9*t**2 + 392*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197593 is divided by 32176.\nAnswer: 4537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.1064 times 82\nAnswer: 172.7248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 68 in -5972, 0.2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -650\/7 + 93. Let s be 143\/(-182) - (-1)\/2. Let m = -7.1 - -7.6. What is the nearest to d in m, -3, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5, -3*t - 29 = -6*t + 4*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1090, -349, 886, 2615, 4838?\n\"Answer: 247*g**2 - 1337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i = -14*i + 6105. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47781)\/(-5309) - (13\/(-2) + (-2)\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (6 + (-1 - (-4 - -5))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/6)\/((-2)\/(-3)). What is the remainder when 2\/(-7) - (-100)\/i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27401\/6 - -4545. What is the common denominator of -9 - -5 - (166\/(-32) + 5) and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90319*w + 90319*w + 4*w**2 + 6*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 87 + 15 = -16*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**2 + 83*h + 27. Calculate v(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (4 + -7 - -8) - (3 + 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 2407*m - 595072. Calculate t(226).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3))**(6\/29))**(-3\/16)\/((v**1)**(-10))**(-49) assuming v is positive.\nAnswer: v**(-113683\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1 - (-9)\/3. Let a be ((-21)\/m - -2)\/(-1). Suppose -3*t - 5*v + 4 = -a*t, 0 = -3*t - 3*v + 15. Sort t, -3, 2.\nAnswer: -3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-90) + (81\/(-165) - (-7)\/77)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 6*u**2 + 5*u - 8. Let h be r(-3). Solve -f = h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*h + 120 = 0, -4*m + 5*h + 104 - 11 = 0. Calculate the remainder when 80 is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1310978 from -37.\nAnswer: 1310941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*h + m - 20, -3*h = 3*m - 30. Calculate the highest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77519 is divided by 583.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1746*f + 0 - 2740*f + 2 to the form y*f + d and give y.\nAnswer: -4486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:37 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x**2 + 2*x + 1. Let y = 3 + -4. Let u be o(y). Let f(d) = -d + 2*d - u*d. Let b(k) = k**2. Give f(b(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/(9\/(-84)). Solve 0 = 5*o - l - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 6:08 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108665\/22 - 4944. Find the common denominator of v and (-101)\/(-22) - (-2 - -2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -15088*s**4\/13 - 118786*s**3\/13 + 151132*s**2\/13 - 17294*s\/13 + 36\/13 = 0.\nAnswer: -9, 2\/943, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 206, 396, 586, 776, 966?\n\"Answer: 190*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 26 = -5*g, -1171*g + 1175*g + 7 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 456.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1476.2 - -1476. Let t = -9.15 - -9.3. Which is smaller: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -4511203?\nAnswer: -4511204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 + 111100101010110?\nAnswer: 111100100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-9))\/((-1)\/6). Let d = -4 + c. Let a = 3 - d. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -40*u + 598 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**4 - 45*v**3 - 115*v**2 - 75*v = 0.\nAnswer: -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - k = -12, 135*y + 3*k - 24 = 134*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-4)*28\/35 + 14. Suppose -5*v - f = -26. Let j be 12 + (1 + -3 - v). Calculate the highest common factor of 104 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2194840 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171667639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17694 + -12?\nAnswer: -176a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 13. Give v(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:59 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 11*t + 79. Calculate j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - 2*r**3 + 2*r**3 + (3 - 2*r - 3)*(-4*r**2 - 5*r**2 + 3*r**2).\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51962604263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-14)\/147*-7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18412 is divided by 268.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-160)*(-3074)\/10759.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/42*-2)\/(504\/(-4704))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 15 (b) 0.4 (c) 22493\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2983*s - 8851. Determine h(-3).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55907, -55919, -55931, -55937, -55931, -55907?\nAnswer: -55859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-4)\/(-12)*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -86 or 1.219?\nAnswer: 1.219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 155*l**3 - 1090*l**2 - 2240*l + 7680.\nAnswer: -5*(l - 16)**2*(l - 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 3*q + 12, 4*a - 4*q + 26 = 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 9:35 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*g + 10, -5*s - g = 48 - 20. Sort -3, 4, s, -7.\nAnswer: -7, s, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 34 = i. Let k = -1 + 32. Suppose -k*p = -4*p + 567. Is p >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41183.\nAnswer: 41183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**3 + l**2 - l + 1. Let j be f(1). Let o = 19 + j. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-22 + -18) - -54) + (-6 - -1).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 75*d**3 + 85*d**2 + 75*d - 80.\nAnswer: -5*(d - 1)**2*(d + 1)*(d + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2)**(-6\/37)\/((g\/(g\/(g*(g\/(g\/g**(4\/7)))\/g)))\/g**(-1\/5))*g*g**(-2\/9)*g*g*g\/g**(-4\/5)*g\/(g\/g**(-3))*g*g*g**(6\/7)*g assuming g is positive.\nAnswer: g**(50573\/11655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-80)\/(-30)*3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 7*i**2 + i + 5*i**2)*(0*i + 4*i**2 + 0*i).\nAnswer: -8*i**4 - 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 67c5c50 + -4?\nAnswer: 67c5c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 1110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320022849 to the nearest integer?\nAnswer: 17889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - 0) + 47 + -68 - -14.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (17 + -9) - (9 - (4 + -6))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11cd6 - -8?\nAnswer: -11ccd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 236*v**3 + 2376*v**2.\nAnswer: 4*v**2*(59*v + 594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*y = -13439, -53756 = -4*g - 29*y + 34*y. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1081, -927, -683, -349, 75?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**4 + 1993958*i**3 - 2472*i**2 - i - 33 wrt i?\nAnswer: 24*i + 11963748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/4 and -109\/212814?\nAnswer: 425628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45050.98 decades in millennia?\nAnswer: 450.5098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 5c4?\nAnswer: -5c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -912 = 9011*y - 8897*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 129544361 take away -1329.073?\nAnswer: 129545690.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -150 + 130.3. Round p to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 215*c + 9. Let s be l(-9). Let i be (-60)\/270 - ((-892)\/s)\/(-2). Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.31, 5, 0 in ascending order.\nAnswer: -12.31, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -392.772 rounded to 0 dps?\nAnswer: -393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 23*i - 18*i. Let w = 10 - i. Suppose 6*s = w*s + 64. Calculate the least common multiple of s and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f - 10. Let c be -1*(-1 - f)*1. Solve -4*v = -c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lallalllllllallaaaa. Give prob of sequence al.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjgjevv. What is prob of sequence ejvv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 8:33 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71754186983 - -3.6.\nAnswer: -71754186979.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjyjjjyj. What is prob of sequence yjjy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**4\/3 - m**2. Let u(a) be the third derivative of -a**4\/12 + 2*a**2 - 2*a - 25232. Calculate u(k(n)).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4 - 20266*a**3 + 14*a**2 + 141874*a + 121596 = 0.\nAnswer: -10133, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-6792)\/(-27) + (80\/90)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 1:52 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 11*c + 24. Let r be f(-6). Does 17 divide -2 + (2\/3 - 416\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1396419 - -3418433641\/2448. What is the common denominator of d and -37\/1088?\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117477?\nAnswer: 3, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-8) + 4\/32. Let d(x) = 169*x - s*x**2 - 169*x. Let q(p) = 3*p**2 - 3*p**2 + 2*p**2. Calculate q(d(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151371107 is divided by 1239.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -17. Which is the closest to 2? (a) -2 (b) -1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-4)*(-2008)\/(-15060).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -313 and 0.2.\nAnswer: -62.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 2 + y**2 - 12*y + 5. Let n be q(9). Let g(j) = 18*j**2 - 8*j**2 + j**n - 12*j**2. Calculate g(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 25. Let r = k + -58. What is the third biggest value in -2, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/3298?\nAnswer: 1\/3298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-5 - (8 - 22)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -2\/13, 0.01, -19?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, -48, -1.25, -147 in ascending order.\nAnswer: -147, -48, -1.25, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.63*263.\nAnswer: -2795.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-72)*12\/9)\/((-460)\/460).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 2. Give u(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 368041?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zoqqqrzfzorqolqrrrr. What is prob of picking 1 r, 1 z, 1 o, and 1 f?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3183325 divided by 127333\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2489509 divided by 227\nAnswer: -10967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-140)*30\/(-8)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**7\/14 + 3*c**6\/10 + 9*c**5\/20 + c**4\/4 - 5*c. Suppose a(p) = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/22 - 350\/110. Let q be -2 + z + 4 - -30. Let s = 35 - q. Solve -2*f + 4*i = 0, -3*f - 3 = 3*i + s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134 and 1809.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3330?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 223819979 + -37741.3?\nAnswer: 223782237.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1 - c**2 + 0*c**2 + 186*c - c**3 - 187*c. Let a(i) = -2*i**3 - 6*i**2 - 4*i + 4. Let b = -1 + 5. Give b*p(l) - a(l).\nAnswer: -2*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1*sqrt(51)\/sqrt(3) - sqrt(17) - ((sqrt(17) - (sqrt(2448)*-2)**2) + sqrt(17))) + ((-5 + sqrt(425) + -2)*6)**2.\nAnswer: -2523*sqrt(17) + 26856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 34*d**2 + 3*d + 2. Suppose -15*k - 15 = -10*k. Is r(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-1)\/(-4) + (-12)\/((-624)\/533).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t**5 - 11715*t**4 + 18685*t**3 - 2325*t**2 - 4670*t = 0.\nAnswer: -2\/5, 0, 1, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/26 - -2)*225\/(-1350) - 366\/13.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21917.686*-0.3\nAnswer: 6575.3058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 44*w**5\/15 + 59*w**4\/8 + 24*w**2 + 3*w. Find the second derivative of x(m) wrt m.\nAnswer: 352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -29 - (-19 - (0 - 13)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 31. Suppose -y - h = -4*y. Suppose -d = f - 3, 3*f - y*d = 5 + 11. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-14) + ((-114)\/8)\/(49\/(-84)). Calculate the highest common factor of j and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16230 in 1\/2, -0.07, -0.3, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 + 192.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 + 20*w - 34. Let h = -136 - -138. Let p be j(h). Let o = 11 - 15. Which is the closest to 1? (a) -1 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 5:45 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -237 and 14\/3723 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1487 - 858. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -394.17 - -394.1699927234. Round d to seven dps.\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 78 = -16*l. Factor 3\/2*y**l + 0*y + 0 - 3\/2*y**2.\nAnswer: 3*y**2*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmjvvmdpjvwmpddj. Give prob of sequence jjvd.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 + -5 - (-4 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1156, 2311, 3466, 4621, 5776, 6931?\n\"Answer: 1155*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**2 + 39627*u - 1343850 = 0.\nAnswer: 34, 13175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {g: 4, f: 14}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r. Let m(u) = -3*u. What is 5*m(n) - 2*v(n)?\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 7*t. Suppose 16*r - 13*r - 15117 = t. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 24 = -2*d + 2*o, -d + 1 = 4*o. Let r = -3 + d. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.493 + 2.393. Put 3\/5, 371, s in decreasing order.\nAnswer: 371, 3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -2 + (-33)\/(-15). Let s = -57.9 - -58. Let f = 9 - 4. Which is the closest to s? (a) f (b) 1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -0.1, -0.02, 98, -1\/108, 0, -3\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = 15*w - 313348. What are the prime factors of w?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19, 1715, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 834?\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckckkkkc. What is prob of sequence kc?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*w - 4*p, -3*w + p = 2*p + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + q + q + 0*q - 2*q + (-2*q + 4*q - q)*(-1 - 3 + 2))*(-199*q + 72 + 126 - 198 - 866*q) as a + l*q**2 + f*q and give l.\nAnswer: 2130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -850 divided by -2155?\nAnswer: 170\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**3 + 2*y**2 + 6*y + 30. Let v be h(-4). Let l = v - 2060\/7. Which is smaller: -0.15 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.96 + 10.1. What is k rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -8. Let b = 276309\/123851 - 2\/9527. Which is bigger: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 7\/20*s**5 - 2*s + 0 - 5\/6*s**4 + 0*s**3 + 0*s**2. Find the third derivative of y(b) wrt b.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, z: 2, h: 1, o: 1, k: 2}. Give prob of sequence ov.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3856813*a = -3856863*a + 50 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 435582.27 rounded to the nearest 10000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 9:10 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 281381131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3450, 3446, 3440, 3432, 3422?\nAnswer: 3410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4922*p**2*s**2 + 227*p**2*s - 244349*p*s**2 - 2*p*s wrt p.\nAnswer: -9844*s**2 + 454*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212210100202 (base 3) to base 5.\nAnswer: 104441111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251555 (base 6) in base 11?\nAnswer: 15971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-25738)\/(-22) - ((-8)\/(-8))\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211223 (base 4) in base 10?\nAnswer: 6507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**2 - 1. Suppose 4*c = p + 61, 2*c + 4*p = 4*c - 20. Let h(f) = -26*f + c*f + 3*f**2 + 10*f. Give h(z(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35495751?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40*r**4 + r**3 - 60317*r - 3*r**4 + 60317*r - 538 wrt r?\nAnswer: -172*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127573793.\nAnswer: 127573793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvzgv. Give prob of picking 1 b and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/(-21) - -1) + 76\/(-133). Let b be (-5)\/(-1) - (1 + f). Solve 5*t - 10 = -b*z + 15, -3*z = 4*t - 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1047360 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -83, -32, 71, 244?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 18, 5, 1561, 0.2, -2.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**4 + 314143*j**3*p**3 - 2*j**3*p**2 + 5*j**2*p**3 + 33942*j**2*p**2 - 3*j**2*p + 6*j**2 - 2*j*p**3 wrt j?\nAnswer: -72*j + 1884858*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22542714 divided by 3.\nAnswer: -7514238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522 + -76.555199.\nAnswer: 445.444801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3) + (-4 + 1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 - 457*s**2\/3 + 964*s - 444.\nAnswer: (s - 222)*(s - 6)*(2*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 653 + -1104. Let l = k - -777. Suppose -2*m = 4*s - 4*m - l, s - m - 80 = 0. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7*r - 10 = 0. Suppose 489 = -r*p - 376. Let y = p + 367. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 87 + 111. Suppose -l = 2*u - 6*u + 53, -2*u = 4*l - a. Calculate the greatest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.86 - -16. Let x = j - -0.06. Sort x, 5, 1\/3.\nAnswer: x, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -33, 2\/5, -402, 1, -1\/3?\nAnswer: -402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 116?\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 65066, 64970, 64824, 64634, 64406, 64146, 63860, 63554?\n\"Answer: o**3 - 31*o**2 - 10*o + 65106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -3*l**3 - 3. Let d(k) = 2*k. What is d(a(q))?\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x. Let t(i) be the second derivative of -107*i**3\/6 + 1282*i. What is t(u(a))?\nAnswer: 963*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00201242 rounded to 5 decimal places?\nAnswer: 0.00201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 94153152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000249347959 to seven decimal places.\nAnswer: 0.0002493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 22 = 44. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234.6 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -866*d = -3794*d - 452*d + 202800 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 9620?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24709\/3 - -8236. Let h(u) = -u - 1. Let f be h(0). Which is the closest to -3? (a) j (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + c + 1. Let s(w) be the first derivative of w**4\/4 + 7*w**3\/3 + 7*w**2\/2 + 7*w - 4. Determine 14*i(v) - 2*s(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1086 - 0.2286. Which is the closest to -2\/9? (a) s (b) 37 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 7. Let x be p(9). Suppose -2*d = -4*b + 10, -3*b - b + d = -13. What is the second derivative of -2 + 0 - b*m + x - 10*m**2 wrt m?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 24 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247678 is divided by 688?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 40 = 3*a. Suppose -a*c + 54 = -56. What is the remainder when 85 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 5:40 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4613 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqs when three letters picked without replacement from qqzzzbbabqbqsabqsb?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20664772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*w + 8 = 0. Let k = -45 + 40. Let c = w + k. What is c rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+23461.08192\nAnswer: 23465.08192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, y: 6}. What is prob of sequence syyy?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -p - 46, p = -3*w - 3*p + 44. Solve g - 5*g + w = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - y + 1. Let b be p(1). Let x(n) = -2*n + 4. Let m be x(b). Suppose m*c - 3*o = 3*c - 5694, 5*c - 9480 = 5*o. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1) + 453582\/(-96). Let u = g - -4721. What is the common denominator of 7\/20 and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**4 - 66*a**2 + 608*a wrt a?\nAnswer: 48*a**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10605 = 631*y + 6432 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/46813 and 33\/4.\nAnswer: 187252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 7*k**2 - 11*k + 4. Let z be j(-8). What is the smallest common multiple of 144\/14 - 8\/z and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 398 - 412 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054.77 rounded to the nearest 10?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 825*g**3 + 4*g - 871*g**3 + 13*g as s*g + b*g**2 + c + t*g**3 and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -255 or -2?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5 - 555*t**4 + 10770*t**3 - 29030*t**2 + 27945*t - 9135 = 0 for t.\nAnswer: 1, 21, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 9296 = 6*i. Suppose 4989 + 299 = 4*d. Suppose 0 = 4*y + 2*f - d, 0 = 4*y - 0*f - 4*f - i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/84)\/((-1041)\/(-6246)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u. Let a be ((-39)\/2)\/((-1)\/2). Suppose c - 152 = -3*p + 2*c, -p - 2*c + a = u. Round p to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 93452817 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 4 - 1 - 1 + (2*c - c + 0*c)*(-4 - 1 - 6))*(-12*c + 8*c + 8*c).\nAnswer: -60*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39749*l*y**3 - 24422*l*y**2 wrt y.\nAnswer: -238494*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -102, 129 in descending order.\nAnswer: 129, -1, -3, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-1)*l))**48*l**(-3)*l\/(l*l\/l**6)*l*(l**(-2)*l\/(l*(l*l**(2\/19))\/l*l))\/(l**(-4)*l*l*l**(-2\/7)) assuming l is positive.\nAnswer: l**(-12478\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 7 = 3*w + 6, -4*z - 3*w = 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 211242233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.61714 weeks?\nAnswer: 978046272000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2cb3a17 + -2?\nAnswer: 2cb3a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 2115634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jad when three letters picked without replacement from {j: 5, d: 1, t: 9, p: 1, a: 4}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 42 - 84 + 178 + 161 - 25*b**2 + 0*b**2 to the form n*b**2 + u*b + g and give g.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**6\/6 + 2*g**5 + 86*g**3\/3 + 6850*g**2 - 11091. What is the second derivative of r(u) wrt u?\nAnswer: -20*u**3 + 120*u**2 + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/5 + 9*c**2\/5 + 18*c\/5 - 24\/5.\nAnswer: -3*(c - 4)*(c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5950 is divided by 535.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55.3 - -54. What is the third biggest value in m, 5, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 313*a**3 + 33*a + 58*a - 5 - 93*a + (-5 + 2 + 1)*(-2*a**3 + 0 + 0) - 4*a**3 + 4*a**3 + 2*a**3.\nAnswer: 319*a**3 - 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 41 = -i - 33, -i + g + 8 = 0. Calculate the smallest common multiple of i and 3106.\nAnswer: 12424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*t = -3*t + 10, 12 = 2*u + 2*t. Let y be 2 - 0\/(0 - 2). Suppose y*o + o - 12 = 0. Sort -4, o, u in decreasing order.\nAnswer: o, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 3*f**5\/5 - f**4\/2 - 4*f**3\/3 + f**2 + f + 1. What is x in c(x) = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7140, -7139, -7138, -7137?\n\"Answer: f - 7141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3255650898.\nAnswer: 2, 3, 71, 7642373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4 + 347*y - 347*y - 2 + 22*y**3 - 4*y**2 wrt y.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllbbeelelbbb. Give prob of picking 2 l.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:59 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.2. Suppose 0 = -3*m + 2 + 4. Let s be 7\/(35\/(-12)) + m. What is the closest to u in s, -1, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*y + 7953 = 14*m - 17*m, -3*m + 13*y - 65 = 15*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130968\/174624 - ((-13)\/4 + 0))*77\/4?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933359?\nAnswer: 7, 133337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:00 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 + 38*a**2 - 14*a + 28. Let u(c) = 13*c**2 - 5*c + 9. Let v(g) = -2*t(g) + 7*u(g). Find the second derivative of v(l) wrt l.\nAnswer: -24*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*r + 2020305 - 2017005 = 0 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76, -125, -198, -289, -392, -501?\n\"Answer: o**3 - 18*o**2 - 2*o - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48.7 + 11.3. Are -0.1 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 157*b - 143*b - 44296. List the prime factors of b.\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2*r = -5*o + 39, 5*o - 3 = 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 + 11 = v, -2*v - 2*d - 4 = 0. Sort v, 17, 12.\nAnswer: v, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50969699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 431037608, 862075218, 1293112828?\n\"Answer: 431037610*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) -10 (c) 1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = -94*j + 111*j. Solve -j*v - 36 - 36 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.7*388.61\nAnswer: 2603.687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.34 + -23. Let q = a + -0.84. Put 3, q, 4\/5 in descending order.\nAnswer: 3, 4\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24435253 (base 6) to base 9\nAnswer: 1422556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -235 - -231. Let o(y) = -1040*y - 7. Is o(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 2, q: 4}. Give prob of picking 1 i and 1 q.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 3:59 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2002*l - 950*l - 808*l.\nAnswer: 244*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from fykddyygdgydpyygdd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 5, y: 2, b: 1, o: 9}. What is prob of picking 1 n and 1 o?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*z**3 - 49*z**3 + 24*z**3 + 3 + 2*z**4 - 2*z in the form q*z + v*z**3 + d + j*z**4 + m*z**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(7) + sqrt(63)\/(1*sqrt(9)) - ((sqrt(112) + -1)**2 + sqrt(112)) - (sqrt(35)\/(1*sqrt(5)) + -5)).\nAnswer: -112 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d + 20. Let c be o(-4). Let r(m) = c*m - 3 - 85*m + 13. Is r(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 21*t + 56. Give b(-11).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-48)*(-90)\/(-315)*48\/(-9)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150841688*w**4 + 76*w**2 + 367306 wrt w?\nAnswer: 3620200512*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4180500 to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14322, -28216, -42188, -56280, -70534, -84992, -99696?\nAnswer: -114688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) -4 (b) -4246401 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 5\/3*t**3 - 12 + 0*t**4 + 0*t**2 + 0*t**5 + 0*t - 2\/3*t**6. Find the third derivative of r(h) wrt h.\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 + 11*r**2 - 134*r + 208. Give d(5).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 20 = -a, 2*f + 5*a + 8 = 5*f. Suppose -13*o = 15*o + 28. Let n = f + o. Calculate the remainder when 6 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110111 (base 2) to base 7\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.19, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18113229 to the nearest integer?\nAnswer: 4256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133 or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 31303*h**3 + 33*h - 33. Is l(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-4 - -7))\/(-2). Suppose z + z - 46 = 2*x, -4*z - x + 117 = d. Solve a + 0*a - s - 4 = 0, 3*a + 5*s = -z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1168*p - 8 = -1164*p, u + 22 = -3*u - 3*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.1 + 11.2152. Let i = w + -0.118. What is i rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5047*t + 863038. Determine c(171).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*r**3 - 30194*r**2 + 49679*r - 2.\nAnswer: 54*r - 60388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12639647*l**3 + 133*l + 20693.\nAnswer: 75837882*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 6*s - 5. Let j be h(-5). Suppose 17*c = j*c. Let o(l) = -l**2 + l + 11. Let i be o(c). Calculate the greatest common factor of i and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 30192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Let o(v) be the first derivative of 0*v + k*v**2 - 1\/3*v**3 - 1\/4*v**4 + 2. Find the third derivative of o(g) wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 71\/(-7) + 2\/14. Let o = -5 - r. Solve -2*q = 2*p - 1 - 1, o*p = q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 + (-5058704)\/10857 + (-1 - (-299)\/330)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**5*m - 17469424*b**3*m**3 + 66*b*m**3 - 2*b*m + b - 2631*m + 1 wrt b?\nAnswer: -20*b**3*m - 104816544*b*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k + 1 - 89*k - 3*k - 70*k - 42*k + 34*k.\nAnswer: -153*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.952136 decades?\nAnswer: 954.25632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.18 - 0.18. Let t = a + 8. Let y = t + -27.9944. Round y to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1048318 + 2091682 = 2*v. What is v rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1300)*6)\/(sqrt(40)\/(sqrt(10)*1)))**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2 + 2*l + 1. Let m be r(-1). Suppose 0 = 2*i - m*i. Is 0 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11716*a + 12018*a - 36240 = 0 for a.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1844\/17*d**3 - 2\/17*d**5 + 608350\/17 + 163990\/17*d + 118\/17*d**4 - 3956\/17*d**2.\nAnswer: -2*(d - 23)**3*(d + 5)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10864 + 302148 = 103*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 10 = -2*f, -t + 5*f + 1 - 8 = 0. Let m be (-4)\/(-12)*-6*5\/t. Solve -2*g = 4*i - m + 1, -4*i + 2*g - 12 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, -902, -2530, -4996, -8408, -12874?\n\"Answer: -18*n**3 - 257*n**2 - n + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2. Let h(k) = k**2 - 13*k - 5. Let l be h(16). Let z(v) = l - 43 - 5*v**2. What is z(x(p))?\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -470*h + 15. Let x(q) = 4*q + 53. Let k be x(-13). Let i(d) = 2*d - 4. Let w be i(k). Is g(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 1521*a + 3*a**3 + 1521*a - 3*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-45)\/(-10) + -1)*2. Let q(f) = f**2 - 2*f - 1. Let u be q(4). Is k less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-52*1*(-60)\/1920*4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**6\/120 + 3*m**5\/20 - m**3\/3 - 158*m**2 + 317. Let g(n) be the second derivative of d(n). What is g(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + n + 4, 0 = -5*v + v - 2*n - 6. Let p = -1 - v. Suppose p = -2*i - 0*i + 92. What is the remainder when i is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238\/59 or 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -81 - 54605?\nAnswer: -54686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 3:52 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 12*w + 9. Let h = -12 - -21. Calculate the greatest common divisor of h and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010100 (base 2) in base 4?\nAnswer: -3110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*(-1 - 4\/8). Let q(n) = -n + 17. What is the tens digit of q(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.5, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1953 is divided by 366?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 771, 761, 751, 741, 731, 721?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 4. Suppose -3*k = 3*l + 18, -44 = 5*k + 4*l - 13. Let y be c(k). Let m = -17 + y. What is the remainder when 31 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 3\/7, -1\/3, -1\/63, -165, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23024 - -23034. Solve -4*m + 14 = -2*c, -3*c + 34 = q*m - 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20540914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from {y: 4, j: 1, e: 3, w: 4, b: 5, k: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(56\/10) + 2 + 495\/(-36)*1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216664 by 54166.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 0*v + 0*v. What is the units digit of b(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42*((-124)\/620)\/(28\/(-60))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45709.624 >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128.99995 + 129. What is f rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 682596 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.3 (b) -0.211 (c) -13120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*k - 54*k = -56. Suppose k = 4*c + o, c + 28 = 5*c - 2*o. Is 42\/5 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -63*h + 40 - 27\/2*h**2. Differentiate y(o) wrt o.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**4 - 3*d**4 + 2*d**4)*(683 - 136*d - 683).\nAnswer: -680*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16610*l**2 - 8*l + 1688778 wrt l.\nAnswer: 33220*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 2. Suppose -l*p - p - 17 = -z, 15 = -3*p. Solve -19 = 4*a - 5*r, 5*a + z = 2*r - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**2 + 77 - 1\/3*h**3 + 5*h. Determine i(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 1:38 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - 25 + l**4 + 2*l + 29 + 2*l**2 + l**3 to u*l**2 + b*l + v*l**4 + c*l**3 + w and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 18*o - 1\/9*o**3 - 1\/10*o**5 + 12 + 0*o**2 - 1\/6*o**4 - 1\/45*o**6. Let n(v) be the first derivative of u(v). Factor n(m).\nAnswer: -2*m*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5471434*b + 76. Suppose 0 = 10*x - 107 - 33. Let l be v(x). Round l to the nearest 1000000.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0 + 0)\/2)\/1. Suppose 2*l - 28 = -m. What is the lowest common multiple of l and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -828b (base 12) in base 15?\nAnswer: -432e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -6 - (-30)\/8. What is the second smallest value in 2, a, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - -0.16. Let s = -2.1 + x. Let t = 1585 - 1589. Which is the closest to -0.2? (a) -1\/3 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 56748006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k - 5*k**2)*(-2*k**2 - 4*k**2 + 4*k**2).\nAnswer: 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26811785 divided by -7.\nAnswer: 3830255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*g = 20 + 52 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13351.15018 + -13351. Let k = u - 0.15. Round k to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275721876?\nAnswer: 2, 3, 73, 104917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 4 (c) -478\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 + 4.92. Let o = 0.87 + -0.57. Which is the closest to 0.12? (a) o (b) -4\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/28 and 89\/5150?\nAnswer: 72100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -60\/13, 116463, 0.4?\nAnswer: 116463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6090610.\nAnswer: 2, 5, 751, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 9*t - 7. Which is smaller: t or -2\/1513?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 2669, 5 in ascending order.\nAnswer: -9, 4, 5, 2669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 5:58 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*q - 0. Differentiate -u**2 - 2*u**2 - 1 - q with respect to u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9)\/2 - -3) + 1407\/210 and -10\/1561.\nAnswer: 7805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -0.05667?\nAnswer: -0.05667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7*m + 20 = 0. Let l = 0.6 + 1.4. Let b = -3 + l. Which is greater: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 0*c**2 - c**2 - 3*c**3 + 13*c**2 + 4*c**3 - 13*c**2 + (c + 4 - 4)*(-c**2 - 3*c**2 + 2*c**2) in the form t + o*c**3 + x*c**2 + r*c and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) -45.7557 (c) 8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2495593, 4991191, 7486789?\nAnswer: 9982387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 42*v - 5. Let j(h) = 41*h - 4. Let n(f) = f**3 - 77*f**2 + 223*f - 69. Let q be n(74). Give q*j(d) - 4*g(d).\nAnswer: 37*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 422152 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190 - -197) + (-1 - 18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9247019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5700006204 + -1.57. What is j rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8351*f = -8339*f - 6096. Calculate the lowest common multiple of 381 and f.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 e, and 1 k when four letters picked without replacement from paeeeeeeapceek.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -140, -159, -192, -239?\n\"Answer: -7*i**2 + 2*i - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52374 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -987\/4 or -1881\/7?\nAnswer: -1881\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/209893 and 29\/2166.\nAnswer: 23927802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from pssssaipapasp.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-6) + -2)*-15. Sort -0.1, f, 3.\nAnswer: f, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 260*t - 92*t + t**2 + 3*t**2 - 3*t**2.\nAnswer: t**2 + 168*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*n - 15 = 0, 2*p - 4*n + 0*n = -2. Suppose 2*x + 1 - 3 = 0. Put p, x, -4, -1 in decreasing order.\nAnswer: x, -1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -715, 1\/2, -0.152, 0.4?\nAnswer: -715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 2538?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 33*a + 6 = 32*a, 0 = -3*n + 4*a - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 1, x: 2, l: 1}. Give prob of picking 2 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 17 + (0 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 200 - 1453?\nAnswer: -1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 11*t + 182 = 0. Suppose 3*r - 5*z - 210 = 0, 4*r + 3*z = -174 + 483. Calculate the remainder when r is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -2)*(-20)\/(-8). Solve -4*o = -l + 21, -2*r + 3*o + 16 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 10 = -8*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 339784625 to the power of 1\/2, to the nearest integer?\nAnswer: 18433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-6)\/l)*l**(-2\/15))\/(l*l\/(l\/(l**(-1\/3)*l)*l))**(-2\/49))**41 assuming l is positive.\nAnswer: l**(79294\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 50)*8\/(48\/(-6)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*n = 1631 - 9661 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*c**2 - 68\/7*c + 66\/7 = 0. What is c?\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 20*x**2 + 10*x + 23. Let d = 112 + -123. Is r(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 2530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -50, -221, -502, -893?\n\"Answer: -55*w**2 - 6*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-seven halves of a microgram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**3\/4 + 3*s**2\/2 - 4*s = 0.\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*h - 40, -4*t + 43 = -h - 41. What is the smallest common multiple of t and -8 + 15 + -7 - -6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (2 - (-4 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2775263, 2775271, 2775285, 2775305, 2775331, 2775363, 2775401?\n\"Answer: 3*w**2 - w + 2775261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and 2067.\nAnswer: -68211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -493?\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4630877 years?\nAnswer: 0.0004630877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, i: 4, j: 2, l: 1, u: 2, f: 2}. Give prob of picking 2 f, 1 j, and 1 l.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9676 + 9694. Solve 0 = 5*b - t + 58 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3233, -3235, -3237, -3239, -3241?\n\"Answer: -2*s - 3231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*n + n - 9, 0 = 4*t - 3*n - 25. What is the first derivative of -34*g + 6 - t + 9 wrt g?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*l - 113*l**2 - 36*l + 98*l**2 - 365*l**2 as u + c*l**2 + y*l and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 515\/11 + -47. Let q be (-3)\/(9\/3) + 3. Suppose 2*m + q = 3*c + c, 3*m + 3 = 0. What is the nearest to c in -4, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from cttcqqjjc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9}. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-27)\/(-6))*-9. Let g be (2\/(-3))\/(i\/27) + -312. Let p = g + 457. What are the prime factors of p?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11372*m + 11361*m + 57 + 108 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1245 + 1364. Calculate the least common multiple of 119 and c.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 564625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/120 + d**5\/20 + d**4\/8 - 2*d**3\/3 - 2*d**2. Let q be r(3). Is -2 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/3*-3)\/(-1). Let k = n + -10. Calculate the remainder when 47 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/242)\/(-35*(-22)\/616)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/6027 and -23\/231.\nAnswer: 66297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + l + 2, -2 = -3*b - 0*l + l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**3 + 0*l**2 + 0*l**2 + 46*l**3.\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-20)*4 - 6\/(-10). Let q be l + -8 + 6 + -10 + 3. Let f = -1 - q. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(49*d**4 - 58*d**4 + 48*d**4).\nAnswer: 78*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.498 and 0.4.\nAnswer: 0.5992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 274821 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggc when three letters picked without replacement from cagcgaaccacgacgacaag.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -17*x**3 + 295*x**2 - 2*x. Let j(g) = 25*g**3 - 295*g**2 + 3*g. What is -2*j(d) - 3*q(d)?\nAnswer: d**3 - 295*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6*y + 11 - 8 + 2*y**3 + y**4 + 2*y**2 - 3 to the form j*y**4 + b*y**2 + s*y + k + u*y**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q. Let a(k) = -3*k**2 - 6. Let v(s) = s**2 + 1. Let d(p) = a(p) + 6*v(p). Calculate d(b(i)).\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 66, 5\/4, -5, -1\/19, 31\/2, 1?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f = -168. Let u be (-296)\/f - 4\/14. Differentiate -3 + 2 - 3 + u*g + 8 with respect to g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/5 - 21994588*i\/5 - 60470237661218\/5 = 0.\nAnswer: -5498647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 2*p + 5. Let c(f) = 13*f + 1. Let r(v) = 4*v. Let l(n) = 4*c(n) - 14*r(n). Let o be l(2). Is 3 a factor of b(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 147.479 and -817.99.\nAnswer: -670.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwmmwwmwwmmmm?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 0 - (-4 - -4). Let m(z) = -4 + 7 - 3 + 2*z**i. Let g(n) = 2*n**2 + n**2 + 4*n**2. Give m(g(w)).\nAnswer: 98*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8518?\nAnswer: 2, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(7) + -1 + 2).\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40, -51, -56, -49, -24?\n\"Answer: p**3 - 3*p**2 - 9*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Let l = 19 + -13. Let x = -6.086 - -1.086. Which is the closest to l? (a) x (b) 5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101220012202 (base 3) in base 9?\nAnswer: 356182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520919 is divided by 43409.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (154\/21)\/((-2)\/(-9)). Let g = -28 + t. Suppose 0 = -4*n, -4*s + g*n + 10113908 = -4246092. Round s to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*z - 37*z + 108*z - 145*z**3 - 37*z + 2.\nAnswer: -145*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*o - 13300 = -188*o + 213*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -686 by 1.\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 + 7. Let s = 13 - k. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a hour in minutes?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-10)\/100*42\/(-6)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*v - 2*v - 7*v + (0*v + 3*v - 4*v)*(-1 + 5 - 2) - v - 2*v + v)*(-1 + 1 + v).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1201?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a - 0. Suppose -a*z + 40 = z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 98.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - k**2 - 2*k**2 + 0*k**2 + 41 + k**3 to d*k + t*k**3 + w*k**2 + z and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65*a**2*s + 4*a*s - 36*a + 798176*s wrt a?\nAnswer: -130*a*s + 4*s - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3290.8491 to 0 dps.\nAnswer: -3291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -53. Suppose -3*o + 18 = 3*y, 4*o = o + 4*y - 10. Let r(b) = 4*b - 3*b - b**3 + 5 - b**2 + o*b**3. Determine r(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -21*f**2\/2 - 25*f - 43. Let c be n(-13). Calculate the highest common divisor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-35 + 17 - -37).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002906 to 6 dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**2 - 36*t - 25. Let u(v) = v**2 - 7*v - 5. Let i(h) = 2*c(h) - 11*u(h). Let y be i(-5). Suppose y*j - 167 = 478. What are the prime factors of j?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**4\/12 + 484*a**3\/3 + 1049*a**2\/2 + 2*a - 186. What is the derivative of x(n) wrt n?\nAnswer: -2*n + 968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630901942 divided by 38863?\nAnswer: 16234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 2\/7 (c) 1 (d) -2\/31 (e) 4 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2 + 1 + 2207*z - 6044*z + 2760*z. Let x(s) = s**2. Give i(x(q)).\nAnswer: -1077*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/5)\/w**(2\/9))\/((w**(-3\/7)*w)\/(w\/(w**(2\/5)\/w)))*(w**(2\/3)\/w)**(2\/51)*(w**5*w)\/(((w\/(w\/(w*w**(-6\/7))))\/w*w)\/w) assuming w is positive.\nAnswer: w**(4076\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*v = -51*v - 2*x + 438, -5*v - 4*x + 555 = 0. Let k be 133 - (2 + (0 - 0)). Let p = k - v. What is the highest common factor of p and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p - 43. Calculate t(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 5 = 0. Suppose -s*q + 17 = -8. What is the second derivative of -6 + 10*m + m**q + m**5 + 6 wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30765 and 2583.\nAnswer: 3784095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3737 + 3737. Solve z = 576*j - 573*j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/239250 and 129\/6050?\nAnswer: 2631750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 119518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 468525.\nAnswer: 1874100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -238316.156 rounded to the nearest one hundred?\nAnswer: -238300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + -43 + -54 - 24?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.58 + -1.58. What is the nearest to g in -4, 1\/4, 2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 - 25 = -23*t - 27*q, -2*t + 0*q + 19 = -3*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 - 19 + 2*n**2 + 6 + 10 to t*n + u + j*n**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)*q*q**(-10))\/(q**5*q*q\/(q*q*q**(-9\/4))) assuming q is positive.\nAnswer: q**(-317\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-58 - -44 - (-18 - -5))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -974*q**2 - 120*q + 120*q.\nAnswer: -974*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1218, 2434, 3650, 4866, 6082?\nAnswer: 7298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*b**4*p**2 + 583*b**3*p**2 + b*p**2 - 2*b + 17*p**2 + 16*p wrt b?\nAnswer: 540*b**2*p**2 + 3498*b*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -103300?\nAnswer: -103302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - -12) + -11 - (-1 + 0)) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -66 and -458\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-2) + (-1)\/1. Let u(z) = -12*z**2 - 15 + 5*z + 13*z**2 + 10 + 2. Calculate the least common multiple of u(s) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + (77 - 37 - 23) + -30?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-8)*(20\/(-12))\/(45\/(-324)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*i + 3*z - 9, 2*i + 6 = 4*z. Let m(h) = h**2 + 3*h + 3. Determine m(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337827687?\nAnswer: 7, 191118241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 5 + 0)*(-y**4 - 40*y**3 + 40*y**3) - y**4 + 0*y**4 + 0*y**4 - 4*y**3 + 4*y**3 - y**4 + (4*y**4 - y**4 - 2*y**4)*(0 + 2 - 4).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/7))**47\/(x**(-1\/4))**28)**(-35) assuming x is positive.\nAnswer: x**(-2360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1112220231 (base 4) to base 14\nAnswer: 93473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b**2 + 1551*b - 4381. Determine y(191).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -72*j**2 + 3*j + 28. Let u(w) = -113 + 2*w + 423*w**2 - 137*w**2 - w - 6*w - 6*w. Let q(o) = 6*u(o) + 22*z(o). What is the derivative of q(r) wrt r?\nAnswer: 264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 501 and 132.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35518957?\nAnswer: 53, 71, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-12 + 2)) + -25 + -24?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**8\/7 - 17*m**4\/12 - 18*m. Find the third derivative of q(j) wrt j.\nAnswer: 960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332873 is divided by 33003?\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + ((sqrt(117)*-4)\/sqrt(9))**2 + sqrt(13) + 3 + ((-1*sqrt(1300))**2 - sqrt(1300) - ((-1*sqrt(104) - sqrt(104))\/sqrt(8) - sqrt(13))).\nAnswer: -6*sqrt(13) + 1515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y**2 - 13*y - 2091. Calculate k(13).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -265060 (base 7) to base 5\nAnswer: -3043102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2. Let y be h(1). Suppose -4*c = 5*w - 14, 0 = 3*w - 0*c - 5*c - y. Is 5*((6 - 1) + w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -29. Put 0.4, -4, m, -1 in decreasing order.\nAnswer: m, 0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130909 + 65391 + 20*i + i + 65518.\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -96, -5, 4, 0.\nAnswer: -96, -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**6\/80 - 9*o**5\/160 + o**3\/4 - 51*o - 1. Let h(q) = 0. Calculate q.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346729*o**2 + 173601*o**2 + 174180*o**2.\nAnswer: 1052*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -673 and -35.2.\nAnswer: 23689.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9432.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*d = -272*d + 309447708. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -19. Let y = 161 + b. Suppose 5*d = -4*w + 136, 5*w = -d + y - 43. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44064488701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -18 (c) 0.28 (d) -15 (e) -4.62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3653023 * -0.06.\nAnswer: -219181.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 - -9)\/((-3)\/36*4). Let h(f) = 14*f - 9. Calculate h(u).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241128 less than 5355889?\nAnswer: 5597017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + -17 + 5 + 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.2 + 0.2. Let s = v - -9. Let l = s + -4.4. Sort l, 3, 0.1 in ascending order.\nAnswer: l, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 523964, 1047936, 1571908, 2095880, 2619852?\n\"Answer: 523972*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 64 = -6. What is the units digit of 7\/p + (-15)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.03, 0.5, 11\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1245 and -6.3.\nAnswer: 1238.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 127*s**2 + 6*s + 12. What are the prime factors of y(-3)?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*j - 4*g, 142*j - 148*j + 2*g + 32 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 8*n**2 - n + 14. Let t be 12\/28 + (-39)\/(-7). Does 20 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6504 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llgl when four letters picked without replacement from {l: 19, g: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -77, -88, -39, 76, 263?\n\"Answer: u**3 + 24*u**2 - 90*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 22. Let k(c) = 7*c**2 - 3*c - 1. Let v be k(f). Calculate the greatest common factor of v and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6805, -13791, -20775, -27757, -34737?\n\"Answer: p**2 - 6989*p + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*t**2 + 3)*(-3*t - t + 2*t) + (-17*t - 36 + 11*t + 7*t)*(5*t**2 - 2*t**2 - t**2) in the form p*t**2 + g*t**3 + w + j*t and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.45 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + -5*1*sqrt(104) - sqrt(104))\/(sqrt(392) + 1*sqrt(392)).\nAnswer: -5*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -58*x - 47 - x**3 + 15*x + 433*x**2 - 455*x**2. Give n(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8 - 21*j - 17*j + 36*j. What is t(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880) + -1*(sqrt(880) + sqrt(880)*-3) + sqrt(880))\/(sqrt(1331)*3*-2).\nAnswer: -8*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 6 = 0, 4*q + 3*w = -45 + 31 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3311 (base 10) in base 6?\nAnswer: -23155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(176) + -5*(sqrt(176) + -2*sqrt(176)))**2)*-5*-4*-2.\nAnswer: -253640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - r**2 - r + 1. Let l(c) = -8*c**3 + c**2 - 6*c + 9. Calculate l(m) - 6*z(m).\nAnswer: -2*m**3 + 7*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 7 - 101. Suppose -3 - 5 = -2*b + 2*r, 0 = 4*b + 4*r - 16. Suppose b*q - 6 = 42. What is the remainder when z is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1157816944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {m: 1, n: 1, f: 3, v: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 60*n**2 + 35*n - 35. Let y(v) = -2*v**2 - 4*v + 3 - v**2 - 2*v**2 + v. Let j(t) = -3*i(t) - 35*y(t). Let p(a) = -a**2. Give p(j(u)).\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 506 by 364.\nAnswer: 253\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 108132796303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1011000111001 (base 2) to base 16\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45647 is divided by 760.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten sevenths of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*u - 15, 2*j - 20 + 5 = -3*u. Let a be (-6)\/(-1) + (j - -1). Suppose -h + a + 2 = 0. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 5*h - 2. Let l be f(4). Suppose l*o - 3 - 3 = 0. Let y = 1 + 0. Solve -y = 3*q + s, o*s - 8*s = 3*q + 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -1, -34 in decreasing order.\nAnswer: 6, 4, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*x + x + 11 = 0, -3*w = 5*x - 1. Let k(a) = a + 11. Let h be k(w). Suppose 0 = -n - h*n. Put n, -5, 3 in descending order.\nAnswer: 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, a: 1, q: 1}. Give prob of picking 3 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 11) in base 6?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18899 + -1134083\/60. Calculate the common denominator of 41\/1068 and p.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1298, 2582, 3864, 5144?\nAnswer: 6422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8409, 8180, 7817, 7320?\nAnswer: 6689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 194531 and 0.06.\nAnswer: 11671.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**6 - 267*j**5 - 6*j**4 + 621*j**2 + 2*j - 1 wrt j.\nAnswer: -240*j**3 - 16020*j**2 - 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/(-15))\/(-26)*-51?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8*n. Let h = -20 - -15. Let c be (-2)\/h*(-25)\/5 - 1. Give r(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 125580*y + 71248904.\nAnswer: 4*(y + 578)*(y + 30817)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-21) - (-744)\/(-336)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 2*t**2 + 0*t**2. Let a = -104 + 106. Let h(c) = -3*c**a + 6*c**2 + 28*c - 28*c. Give h(g(y)).\nAnswer: 48*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 24\/17 (c) 4 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, x: 3, t: 1, n: 3}. Give prob of sequence xta.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -40*t**2 - 17*t + 34. Let a(m) = 35*m**2 + 14*m - 34. Calculate 6*a(v) + 5*w(v).\nAnswer: 10*v**2 - v - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 62 = -5*d, -d + 17 = 5*z - z. What is the remainder when 23 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 11:32 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71332*w + 69185*w = 25764 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*d + 48 + 64, 3*d = -3*h - 132. Let l = 9 - h. Suppose l = 4*f + 5. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3353306*w**2 - 87683284*w.\nAnswer: -6706612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 243 and 216646893.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1999 * 24.\nAnswer: 47976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 2636. Let q(m) = -874. What is -8*q(p) - 3*r(p)?\nAnswer: 3*p - 916","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333426881, 666853762, 1000280643, 1333707524, 1667134405, 2000561286?\nAnswer: 2333988167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {f: 9, v: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 32*x - 5745 + 20365 = -141*x for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -24, -219811.2 in increasing order.\nAnswer: -219811.2, -24, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97344, -69, -8 in decreasing order.\nAnswer: -8, -69, -97344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*d - 516 = -25*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, z: 1, w: 2, k: 5, a: 2}. Give prob of picking 1 z and 1 k.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + sqrt(208) + 5)**2 + -6*(1*(sqrt(13) + 0 + sqrt(468)))**2.\nAnswer: -3548 + 64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.836519 rounded to 2 dps?\nAnswer: -28.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 4:57 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 2*m**2 + 2. Let j be r(3). Let i = -89 + 88. Let q be (i\/(1 + -7))\/(8\/60). What is the nearest to -1 in -0.4, q, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. Let b(i) be the third derivative of -1\/6*i**3 + 0 + 0*i + 1\/4*i**4 + i**2. Calculate b(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in 1, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 26*v**3 - 4*v**2 + 217*v + 6542. What is the derivative of g(w) wrt w?\nAnswer: 156*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3277328 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: Calculate the remainder when 8850 is divided by -26 - (-250 + (21 - 13)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 12*n**2 - 8*n + 71. Calculate y(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 1, w: 2, h: 1}. Give prob of picking 1 t, 1 z, and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + u. Let o(f) = -149*f**2 - 13*f + 10. Let k(l) = 4*h(l) + o(l). Let y be k(-10). What is y rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1256 + 2146?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 14 - 6 = 0. Solve -s*x = 2 + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 3) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -354266 or -2\/3?\nAnswer: -354266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2, 1\/2, 0 in decreasing order.\nAnswer: 1\/2, 0, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -40*t**5\/9 + 3634*t**4\/9 + 13474*t**3 + 818908*t**2\/9 - 805000*t\/9 - 46256\/3 = 0.\nAnswer: -14, -3\/20, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 2*y**2 - 2*y - 1. Suppose 4*t - 15 = 9*t. Let l(p) = -2*p**3 + 3*p**2 - 3*p - 1. What is t*b(f) + 2*l(f)?\nAnswer: -f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -30987 and -30989 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (-126 - -12) - (8 + 8) - (-1 - 9).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + p + 20. Let q be t(0). Suppose 5*j = 3*j + q. Suppose -2*g - 2*g = -3*d - 42, -j = -5*d. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/10)*(c*c\/(c**(3\/5)*c))\/c)\/(c*c**3*c*c**(4\/7)) assuming c is positive.\nAnswer: c**(-85\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1859362 years in decades?\nAnswer: 0.01859362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6*(-495)\/(-22). Suppose 4*j + x = -5. List the prime factors of (2 - 4) + (-70)\/j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*i - 11*i - 21*i - 2*i + 4*i - 3*i + (1 + 3 - 2)*(0*i - i + 0*i) in the form f*i + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1642*p + 538 - 538 + 25614*p.\nAnswer: 27256*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -124\/3. Let h be 28\/35*(1 - -9). Find the common denominator of m and 356\/h - (-2 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 6 - 5*k**3 - 12*k**3 - 4*k**3. Let u = 46 + -57. Let o(d) = 4*d**3 + 1. What is u*o(p) - 2*n(p)?\nAnswer: -2*p**3 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.148882049 minus 0.1?\nAnswer: -0.248882049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30*(88\/44*(-2)\/2)\/4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-62276)\/(-6))\/((-14)\/6 + -1 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 + 228. What is the greatest common factor of 24 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6361 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8187900 = -91*x - 6*x - 148*x. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Let d(t) = t + s*t + 0*t - t. Let r(u) = 2*u. Give r(d(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -28*j + 20. Let s(c) = c - 2. Let y(d) = -26*d + 27. Let g(f) = -21*s(f) - 3*y(f). Let i(r) = 6*g(r) + 10*o(r). What is the derivative of i(p) wrt p?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.29 + -0.79. Let h = -22 - -21.56. Let d = h + 5.44. Sort d, m, -0.8 in ascending order.\nAnswer: -0.8, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -896.83 - 0.1.\nAnswer: -896.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/5)\/a)\/(a\/(a\/a**(-2\/9)*a*a))*a*a**(-2\/5)*a*a*a\/(a\/a**(-2\/9))*a*a assuming a is positive.\nAnswer: a**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-25))\/((-60)\/300)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 51490*t - 51490*t - t**2 + 14*t**4 as p + r*t + y*t**2 + o*t**3 + u*t**4 and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + j**2 + j. Let n(l) = 3*l**3 - l**2 - l. Let t(p) = -3*n(p) - 5*q(p). Let o = 6 - 4. Suppose o*x + 2 = -2. Determine t(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*n**3 - 197 + 197 + (-2*n + 0*n + n)*(-n**2 + n**2 - n**2) - 1 + 1 - 2*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 84*k + 15136.\nAnswer: -(k - 172)*(k + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -23*y - 4. Calculate z(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -406227994 and 34.\nAnswer: -406227960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-4*g + 0*g + 2*g) + (-3 + 5 + 1)*(0*g + 0*g - g) + (-3 + 5 + 0)*(-5*g + 7*g + 9*g) + 4*g - 6*g + 4*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(((-12)\/20)\/(1674\/(-90))). Solve 15 - c = -16*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2 (c) 361\/208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -1400 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -942*o**3 - 55*o**2. Let v(u) = 471*u**3 + 30*u**2. What is 11*v(z) + 6*x(z)?\nAnswer: -471*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3617*t**3 + 3334*t**3 - 10281*t**3 + 3313*t**3.\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3499.313l in millilitres?\nAnswer: 3499313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, p: 1, m: 1, l: 2}. What is prob of picking 1 l and 1 c?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - j - 4, 0 = -5*z + 23*j - 22*j - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -112379.192 rounded to the nearest one thousand?\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5405, 1, -2\/5, -0.27 in descending order.\nAnswer: 1, -0.27, -2\/5, -5405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2456 + 2455.03. What is the biggest value in 0.4, j, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**4\/24 + o**2. Let u(a) = 36*a + 5 - 5 - 34*a. Calculate u(f(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4586 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**38)\/c*c**(-2\/35)\/c assuming c is positive.\nAnswer: c**(-1367\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48, 60, 72, 84, 96, 108?\n\"Answer: 12*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*k + 1 - 39 = 0, -4*q - k + 30 = 0. Suppose 455 = q*z - z. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-63))\/(10\/(-30))*7\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10311 + 28367. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281\/37642 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -197*o - 6. Let a be i(2). Let f = a + 277. Let y = 125 + f. Solve v - 5 = 0, -3*x - v + y = -15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - j = 51, -2*b = 5*j - 1671 + 1785 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 8. Let u = 9.6 + d. Which is the third smallest value? (a) -0.5 (b) -2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/16*4\/3. Suppose -w*c = 3*d + 29, -c + d + 8 = -2*d. Do -6 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/(186\/(-496)) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r + 5. Suppose -6 = -r*n + 18. Suppose -11*b + n*b = -51. Solve b = -5*a - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.06, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -130*b**6\/3 + 103*b**2\/2 - b - 479. Differentiate p(i) with respect to i.\nAnswer: -5200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbb when three letters picked without replacement from {k: 11, b: 9}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 82, 250, 536, 946, 1486, 2162?\n\"Answer: q**3 + 53*q**2 + 2*q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 0 + 1\/24*h**4 + 0*h + 4\/3*h**3 + 2*h**2. Let o be s(-7). Sort o, -1, -2 in descending order.\nAnswer: o, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 759 + -754. Suppose -5*p - 15 = z*g, -9*g + p = -8*g - 5. Let n(v) = 15*v**3 - v**2 + 1. Calculate n(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -49. Solve d = 5*b + 5*k + 25, 5*k + 7 + 6 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1230 + 0?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/3, -2, 0.9, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6095.\nAnswer: 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39701.7 + 39701.75890526. Let b = j + -0.0589. Round b to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 937334107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/7)\/f)\/f)**(2\/17))**(7\/4)\/((f**2)**27*f**(1\/6)\/(f**4\/f)) assuming f is positive.\nAnswer: f**(-5255\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) + 0)*-1)**2 + -4 - (0 + (1 + sqrt(396) - sqrt(396))**2)*1)*1.\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 1. Let b be v(6). Let x be (b\/2 - 2)*(7 + -1). Let k(z) = 2*z**2 - z**2 - x*z**2 + 3*z**2. Let l(g) = 10*g. Give l(k(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26003000 rounded to the nearest one hundred thousand?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/372410 and 13\/74482?\nAnswer: 372410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 555206*i**4 - 869477*i wrt i?\nAnswer: 6662472*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 - -4) - (1 - 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581886.\nAnswer: 2, 3, 32327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4209 and 69?\nAnswer: 4209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58*h**4 + 67*h + 13622 with respect to h.\nAnswer: 232*h**3 + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + 3. Suppose 2*o = 3*o - r. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3703099539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 8*q + 2. Let d = -44 - -76. Let r = 38 - d. Calculate b(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 17 = y, 3*y = 5*t - 2*t + 96. Let w(r) = 8*r - 5. Let v be w(4). What is the highest common divisor of y and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 125 = 18*x. Suppose 0 = 30*n - x*n - 15. Solve 0 = -p + n*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184073 = 19*l + 48299. Suppose -55*u + l = -49*u. List the prime factors of u.\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeaeeea. What is prob of picking 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135.9594 + 136. Round f to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4508140281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**5\/60 + 7*m**4\/12 - 3*m**3 - m**2\/2 - m. Let l(n) be the first derivative of z(n). What is the units digit of l(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*l**4 - 2*l + 11*l**2 - 90*l**3 - 11*l**2 + 86*l**3 + 11*l**4 to the form a*l**2 + y*l**3 + s + w*l + k*l**4 and give k.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 43403401561 and 446.\nAnswer: 43403402007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7520 - 7526.974. Let p = -7.02 - -0.02. Let s = p - t. What is s rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*f**4 + 236*a**3*f**2 + 22*a**3 - 668556*a**2*f**4 + 8*a**2 + 3*a*f**2 wrt f.\nAnswer: 24*a**3*f - 16045344*a**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72\/67 or -8\/17?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119819*j**2 + j + 60660*j**2 + 60415*j**2 + 3*j**3.\nAnswer: 3*j**3 + 1256*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66310408 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1057\/2 - -20029\/38. Which is bigger: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 - y - 69)*(-8 - 2 + 2)*(5*y - 4*y + 0*y).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.6 + -1.1. Let l = q + -3.9. Which is the smallest value? (a) 0.3 (b) 1\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10210.\nAnswer: 2, 5, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1.14, 2\/7, -5, 110, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234550 (base 10) to base 3.\nAnswer: 102220202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2808 and 1720472?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7*i + 39 = 0. What is the highest common divisor of i and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-6) - -1)*-12. Let v(l) = -k*l + 3*l - l + 3*l - 2. Let m(b) = -2*b - 13. Let a be m(-9). Let g(d) = -2*d + 3. Calculate a*v(n) + 4*g(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*-183.\nAnswer: 4575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/9 + 2698*h**2 + 1267796*h = 0. What is h?\nAnswer: -453, 0, 12594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. What is the hundreds digit of (u - 6) + 118 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 11:53 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.42039 rounded to 2 decimal places?\nAnswer: -7.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 g, and 1 y when four letters picked without replacement from yyyyygyyyayyyay.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*3 + sqrt(209))*-1 - (sqrt(209) + -6*sqrt(209)*4 - sqrt(209)))\/((-2*sqrt(132)*4)\/(sqrt(24)\/(sqrt(6)\/sqrt(3)))).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 321 + -323. Let n = 0.1 + -14.1. What is the nearest to n in q, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 930971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 84 in 1\/679, -4\/11, -27?\nAnswer: 1\/679","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -302333 and 6.\nAnswer: -302327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -174.1 + 51.\nAnswer: -123.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 13038, -11, 0, 4 in decreasing order.\nAnswer: 13038, 4, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t*t\/((t\/(t\/t**(1\/4)))\/t))\/t)\/t))\/t*t*t**27\/t)\/(t*t**(1\/18)*t*t**(-13)) assuming t is positive.\nAnswer: t**(1339\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 541 - 537. Suppose -2*p = z*w - 9*w + 101433, 4*w + p - 81149 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7389 and 210176.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-10)*s*s*s*s*(s*s**(-6))\/s*(s\/(s*s**(1\/28)))\/(s*s\/((s\/(s**(-5\/2)\/s))\/s)) assuming s is positive.\nAnswer: s**(-295\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -10. Suppose -8 = -0*x + h*x. Let n = -0.3 + 0.2. Which is the closest to -2? (a) 0 (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2)*1 - 3. Let n = 972 + -973. Sort 0, l, n.\nAnswer: l, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssxzqgxsgsqjsqg. Give prob of sequence gxjq.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1357156 (base 8) to base 4.\nAnswer: -1131321232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -58079, -232277, -522603, -929057?\n\"Answer: -58064*w**2 - 6*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = -3*v - 51, 8614 = -5*w + 5*v + 8559 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxxitixxbxpxdb. What is prob of picking 1 p and 1 t?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 = 11*t - 225. What is the lowest common multiple of 15 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 25 = 5*u, 144*d = 146*d - u - 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -1)*12351\/138. Let w = 246 + m. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5840195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5 + 152*m**4 - 792*m**3 + 1444*m**2 - 1130*m + 324.\nAnswer: 2*(m - 2)*(m - 1)**3*(m + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5\/3 + 392482*r**4 - 7064711*r**3\/3 + 392492*r**2 + 28258864*r\/3 + 6279744 = 0. What is r?\nAnswer: -1177452, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30643 + 4?\nAnswer: 30647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/4 - (-3)\/(-2). Suppose 0 = 2*f - 0*f - 3*j - 18, q = 4*f + 3*j. Solve -4*k - 26 = 3*v, -2*k = 4*v - f*k + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a factor of 483840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14081582*i**3 + 2279*i + 59 wrt i.\nAnswer: -84489492*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10521.168886 rounded to 1 decimal place?\nAnswer: -10521.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0. Let h = 131.4 - 131. Which is the closest to y? (a) h (b) 0.1 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-21)\/(a\/(a*a*a*a**(-2\/11)*a*a*a)))**(-45) assuming a is positive.\nAnswer: a**(8010\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*m**3 - 19*m**3 + 3*m**2 + 8*m**3 + (4 + m + 0*m - 3*m)*(2*m**2 + 0*m**2 + 5*m**2).\nAnswer: -15*m**3 + 31*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10011100000101010010000 (base 2) to base 8\nAnswer: -23405220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*h - 4*y, -4*y - 3 = 5. Let z = -85.011 - -85. Let a = z + 0.511. What is the fourth smallest value in 0, a, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100320 and 1280?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 + j**2 + 4*j - 2*j**4 - 3*j + 3*j**2 to the form t*j + w*j**4 + y + c*j**2 + m*j**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 442? (a) -11 (b) 0.02 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 11:41 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -3\/5 (c) -0.2 (d) -2\/759 (e) 77.2 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*c**4 - 102*c**4 + 6661*c**2 + 14*c**5 + 1871*c**6 - 1834*c**6 wrt c.\nAnswer: 4440*c**3 + 840*c**2 + 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 2*k - 1. Let n = -758 - -764. What is f(n)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*q + u, -4*q + 5*u = 4 - 36. Let d = q - 3. Is d\/35 + 514\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4579 + 242 + 724 - 1580 + 2*t.\nAnswer: 2*t - 5193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 116088*f*m - 27838*m + 6 wrt f.\nAnswer: 116088*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 23*k + 26*k + 29*k - 73*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9 = q - 5, 5*q = -2*k + 16. Solve 2*j - 11 = 3*w - 2*j, -k*w + j - 14 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (362\/6*3)\/(2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Let w = 122 - 123. Which is the nearest to 1? (a) o (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 12, m: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -255 - -501. Calculate the highest common factor of 410 and q.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1287*t - 104142 + 30783 = 0 for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - 45 - (-2 + -1). Let l = v + -36. Let n be (-3 - l\/17) + -3. Is 0 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 12 + 3. Suppose 8*w - i*w - 4 = 2*t, 12 = 4*t. Suppose -w*p + 318 - 106 = 0. Calculate the remainder when p is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3734, 7370, 10826, 14012, 16838, 19214, 21050?\nAnswer: 22256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -32497\/4, 1\/8, -2\/151, 2\/9, 0.5?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 25*t**2 - 16*t - 60. Determine s(16).\nAnswer: 1988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173045939?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 2:09 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 3.03. Let n = 3 + m. Which is the nearest to -1? (a) n (b) -0.5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 157?\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 21 + (-13 - -7). Solve -3*w + 7 = -4*r - 0*r, 0 = 4*w - 4*r - d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 76*b + 80*b - 10*b. Let y be z(-6). Is 20 a factor of y\/(-22) + (-4)\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -171552.\nAnswer: -1\/171552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -973140 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 + 4*w**2 - 3*w**2)*(-2 + 3 + 1) + 17 - 17 - 17*w**2 + (5*w + 4 - 4)*(-4*w - 5*w + 3*w) as q*w**2 + l*w + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15 = l + 7, 5*m - 10 = -3*l. Solve 2*w - o - 10 = 0, 6 = -3*o - l*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzkzzfzzkzpzz. Give prob of sequence zzfp.\nAnswer: 11\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 + -4.85. Which is the smallest value? (a) l (b) 3\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.405212761 rounded to four dps?\nAnswer: 2.4052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33 - -27?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 333331222 (base 4) to base 9\nAnswer: 438344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*x = 4, -4*s - s + 3*x + 89 = 0. Let k = s + 3. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 128*u**2 - 1. Is y(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 185 + -46. Is f a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-93)\/(-39))\/(4\/(-4)))\/((-178)\/1157)?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 8:34 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -6*(1 + sqrt(117)) + sqrt(117) + sqrt(117) + -2 + -4 + -2)**2.\nAnswer: 252*sqrt(13) + 1249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-2)*l*l)**(-2\/141)\/(l\/((l*l**(1\/5))\/l)*l\/(l**(2\/7)\/l)) assuming l is positive.\nAnswer: l**(-4276\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/44 and -79\/99792?\nAnswer: 99792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjjhjj. Give prob of picking 2 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 205? (a) -13 (b) -2\/7 (c) 0.3 (d) 5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + -6 + 4 + -1. Solve z = -d, 0*z - 4*d = 2*z + u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(80) + -4*sqrt(80))**2*2 + -3 - (4 + (sqrt(5) - sqrt(125)))*5*-1).\nAnswer: -20*sqrt(5) + 1454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124179 - 92016625\/741. Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/(sqrt(22)\/sqrt(2)))\/(sqrt(30)\/(sqrt(10) - (sqrt(10) + sqrt(40)\/sqrt(4)))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*x = 109*x + 333*x - 25280 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*d - 0*d. Suppose 2*n = -f - 21, 27*f + 4*f = n + 168. Solve 4*o + 2*p - d = f*p, 32 = 4*o + 4*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4))\/(((-2)\/(-5))\/((-618)\/(-2575)))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 24 = 25*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from gggigigbe.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(77) + 4*sqrt(77)*5)\/sqrt(11) + (sqrt(70)\/((-5*sqrt(60))\/sqrt(6)) + -4)**2.\nAnswer: 507\/25 + 113*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 6 - 66. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - z + 87 = 0, c - 81 = -0*c + 5*z. What is the remainder when c is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 11*m**2 + 9*m - 10. Let o be w(-10). Let g(i) = 2*i + o*i + 4*i. Let a(z) = -z**2. Calculate g(a(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 smaller than 34.28983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:42 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d = 20*d + 74*d + 1308 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 7. Let p be x(-5). Let t be (-2 - -1) + -25 + (23 - -3). Let d be (t - p\/(-8)) + (-6)\/(-24). What is the nearest to d in 0, -1\/2, -1\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**4\/4 - 104*i. Let k(r) = -2*r**2 + 5. Determine d(k(b)).\nAnswer: -12*b**4 + 60*b**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/3, -88\/181, -0.34, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 5 - 12 + 1)*(7*d + 5*d - 19*d) as v + f*d**2 + m*d and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 6*g + 345. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = t - 137. Let s = -107 - t. What is the least common multiple of s and 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 - 4?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 6*c - 1. Let a be q(4). Let z = a + 11. Is 6 a factor of (-2)\/z*-3 - -11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-77)\/308)\/((-10)\/8) - 14732\/10. Is c smaller than -1475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-16)*p**(1\/24) assuming p is positive.\nAnswer: p**(-383\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -5. Let p = m - -4. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44605 is divided by 348.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*d - 489 = -120. Solve d*q + 3*y = 2*y - 2, -y = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 3 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43719 - 43715. Solve g*u - 2*m = 6, 4*u = 7*m - 8*m + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 2*j**2\/3 + 3*j + 2\/3.\nAnswer: -(j - 1)*(j + 1)*(9*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 7*r + 5. Suppose -1304 = -63*s + 775. Calculate the remainder when s is divided by h(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - s - 20 + 55 - 9.\nAnswer: -s + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 9.2. Let t = -1.14 + v. Let y = t + -0.04. What is y rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 2\/7, -111, 11, 4, 4\/31?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 469*z. Let t(p) = 2*p. What is t(g(d))?\nAnswer: 4*d**2 - 938*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 1, i: 1, w: 3}. Give prob of sequence iw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 511. Let i(x) = 97*x**2. What is g(i(b))?\nAnswer: -9409*b**4 + 511","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.91 - -0.09. Let v = -514 - -509. Which is the second biggest value? (a) h (b) -8 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 23*p - 7*p + 6*p - 3*p + 23*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*z + 2*p + 29, 0 = -4*z + 3*p + 32. Let c = 5 - z. Factor -3*d**3 - d**2 - d - d**2 + c*d**3 + 2*d**3.\nAnswer: -d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*q + n + n, n - 3 = q. Let m = q + 8. Suppose m = -2*a + 325 + 515. Round a to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 5, -473, -20.\nAnswer: -473, -20, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708*c = -714*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 4:13 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5)**(-1\/57) assuming m is positive.\nAnswer: m**(-5\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26599 is divided by 61?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, a: 7, z: 1, q: 4}. What is prob of picking 3 d?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/x**6)\/(x\/(x\/x**(-5))*x*x))\/((x*x**(-1))\/x)**(1\/16) assuming x is positive.\nAnswer: x**(1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 7, 185, 1\/2, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**5\/60 + 13*h**4\/24 + 5*h**3\/6 + 5*h**2. What are the prime factors of a(7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t - 3. Let c = -8886 - -8888. What is v(c)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 9*j**2. Let m(l) = -2*l - 3. Let k(i) = -1. Let h(s) = -3*k(s) + m(s). Calculate o(h(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/21))\/(y*y*y**(-2\/17)*y*y*y) assuming y is positive.\nAnswer: y**(-1369\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/((-2)\/(-42)). Suppose 3*x - 1 + 7 = 0, 5*h + 2*x = 6. Suppose r + h = k. Solve c - r = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3.7. Let a(l) = 4*l**2 + 11*l + 21. Let h(b) = 7*b**2 + 22*b + 42. Let g(z) = -5*a(z) + 3*h(z). Let m be g(-8). Put m, 4, k in decreasing order.\nAnswer: 4, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 580 divided by -4.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-8 + 0 + -8 + -3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 + 109. Suppose 0*r = h*r, 2*r = -5*n + 955. What are the prime factors of n?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, r: 1, z: 1, k: 3, g: 2}. What is prob of sequence gxxg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 9. Let g(x) = -x**2 - 4*x + 11. Let q be g(k). Put q, -3, 1 in descending order.\nAnswer: q, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p - 4*p**6 - p + 7*p**6 + 5*p**2 wrt p.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -35.5. Let z = 5.5 + l. Let i = -2.7 - 3.3. What is the nearest to i in 2\/15, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven quarters of a second?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12 + 12 - z. Let p(n) be the first derivative of -3 + 0*n**2 + 0*n - 2\/3*n**3. What is m(p(w))?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 247 + 155 - 140*r + 317 - 851*r wrt r.\nAnswer: -991","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddgddddddd. Give prob of sequence ggg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.29 times 13.1144?\nAnswer: 607.065576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40002926 or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 108 - 108 + 4*u**3)*(-u**2 + 0*u + 0*u).\nAnswer: -4*u**5 - u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1046 + 626. Let i = -419.999996394 - k. Round i to seven decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - n + 2*n = 7, 5*n + 5 = -3*l. Let x be ((-110)\/(-8))\/l + 3. Which is the closest to 2\/5? (a) -0.4 (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-113)\/(((-215)\/(-225) - 1)\/(12\/15)) is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 15*o**4\/4 + 1552*o**3 + 478107*o**2\/4 - 274509*o\/2 + 16172 = 0.\nAnswer: -311, -104, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3903 + -740. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -286 - -302. Solve 18*w = p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.9 - -15. Let g be 36 + -26 + (-106)\/12. Which is the closest to -0.1? (a) 5 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26330?\nAnswer: 2, 5, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 4*x = -2827*c + 2824*c - 63, 0 = 5*x - 5*c + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1190007, 35, 0 in increasing order.\nAnswer: 0, 0.1190007, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -38*k**2 + 896\/3 - 800\/3*k + 2\/3*k**4 + 16\/3*k**3 = 0.\nAnswer: -8, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myggfyygfmvgmm. Give prob of sequence mf.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 10:52 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 375 and 15.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 - -251. Solve 34*i - w*i = -6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -275 (b) -2 (c) -3 (d) 2\/15 (e) -0.1 (f) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.95 - 2. Let y = 3.19 - 2.89. What is the smallest value in 0.2, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46542320 to the nearest ten thousand.\nAnswer: -46540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 6*x**2 + 2. Suppose 4*p + 4*z + z = -14, 3*p - 5*z = -28. Let y be g(p). Let i(a) = 3*a**2 + 5*a - y*a**2 - 1 - 2. Give i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3720498 is divided by 66433.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a + -1628c?\nAnswer: -16232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (4 + -3 - -210). Suppose g - 4*g = -f. Is 35 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -615*g**3 - 894?\nAnswer: -1845*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*r - 36 = 155*r. What is the third biggest value in 0.3, 3, -3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 23 + 2 - 2. Let f = w + 10. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1329, -0.4, -1, 55, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/948 and -103\/12?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**2 - 615562*f - 479388?\nAnswer: 2*f - 615562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.870123 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + sqrt(32)*-2 - -1*sqrt(2)*-4*-3).\nAnswer: -15 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27 - -3)\/(3\/598). Suppose 13*p - 5980 = 8*p - 4*t, 5*p = 5*t + z. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -5301?\nAnswer: -52cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 6*m - 5. Let q be o(5). Solve 2*a - 4 - 6 = q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 316598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7623.489 litres?\nAnswer: 7623489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(3\/2)*f*f*f**(2\/7)*f)\/(f**(4\/5)\/f**(-5)) assuming f is positive.\nAnswer: f**(-211\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -629087 - -629088.399965. Let p = o - 1.4. Round p to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 11:01 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighty-seven fifths of a microgram?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21399 and 42.\nAnswer: 42798","meta":{"dup_signals":{},"source":"numbers__lcm_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: Suppose 0 = -2*g + 10. Solve -g*o + o = 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99812754.\nAnswer: 2, 3, 37, 73, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151472 or 151512?\nAnswer: 151472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 456539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 112825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 10 = -2*a + 2*m, 4*a - 3*m + 25 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 4*b + 5*b)*(-48*b - 47*b + 98*b) - 1 + 4*b**2 - b + b**2 - 3*b**2.\nAnswer: -b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09387 at least 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19812 * -2610.\nAnswer: -51709320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 9*h + 7*h + 2 + 2*h. Suppose -o + 4 = -2*o. Let c be v(o). Are c and -2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-129)\/(-344)*(4 + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4 - -3)*-71)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/3 (c) -5 (d) 948.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 8 (c) -2 (d) 2\/9 (e) 23375\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*o - 7*o. Let g(t) be the third derivative of 0*t**4 + o*t**5 + 0*t**6 + 0 - t**2 + 13\/210*t**7 + 0*t - 7\/3*t**3. Differentiate g(l) wrt l.\nAnswer: 52*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 1. Let z(d) = -2*d + 5. Let p(g) = f(g) - z(g). Let b be p(4). Solve -3*t + 4*t = b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/39 + -47\/156. Let l = 152195.1 - 152195. Let d(w) = -w - 8. Let i be d(-6). What is the biggest value in s, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - (-2 + 4 + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 208549046?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 236518 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: Let l = -0.7 - -1. Let g = 4091.3 + -4092. What is the closest to g in -2\/3, l, -2\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 - 3.15. What is the smallest value in 1\/2, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*f - 27 = 178*f. Let w be (-1)\/(-2) + f\/(-6). Solve 4*l + 15 = 2*d + d, w*l + 2 = -4*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(153) + 0 - sqrt(153)) + (sqrt(153)*-2*1 - sqrt(153))**2 + sqrt(153) - (sqrt(85) - sqrt(85)*-1*-1)\/(sqrt(5) - sqrt(180)).\nAnswer: 3*sqrt(17) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 19155850\nAnswer: -19155849.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 379014992?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 140*p = -135*p + 10411, -10399 = -2*b + p. What are the prime factors of b?\nAnswer: 2, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 333*l - 29. Let i be n(-1). Let h = 359 + i. Is h > -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77577 and 19437?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-26)\/(-10))*(-2)\/(-30). Is -3\/4 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**2 + 141*u - 270 = 0. What is u?\nAnswer: 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(200) + sqrt(200)*1 + sqrt(200) + sqrt(200) - sqrt(200) - sqrt(8)))**2.\nAnswer: 17\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -13. Solve 3*j = 5*r - j + 5, -2*r - 4*j - 2 = i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + 20 + -44 + 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddfmfdnqqqdqdqqqqd. What is prob of picking 2 d?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3108520 is divided by 10719?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -3*n. Let y = n + 4. Calculate the greatest common divisor of 15 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596591583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.7 + -6. Let r = 53 + -56. What is the nearest to 0 in r, o, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 6*n + 1. Suppose 3*f + 35 = 3*z - f, -3*z + n = f. Suppose -z*j = -5*j - 572. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 57*o - 23. Let x be d(28). Solve 2*g + 1 = -2*m - x, -3*g - 7 = m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {w: 2, q: 3, y: 1, c: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - u - 3*u + 2*u + 2*u - u + (-4 + 0 + 6)*(-u + 4 - 4))*(-67 + 72 - 61).\nAnswer: 392*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1599756 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*y + 36, -5*y - 1 = 4*t - 5. Let s be 0\/(t\/(2 - 1)). Suppose s = -5*o + 9 + 11. Solve o*j + 2*c = 4*c + 8, 5*c = -5*j - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/20*0*1. Solve -4*s + 3 - 7 = h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*b + 2691 = 326*b. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 891 + -591. Calculate the highest common divisor of 1650 and r.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 4:46 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/12)\/(9\/12). Which is smaller: -3\/2 or w?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, -1, 4, 5 in decreasing order.\nAnswer: 11, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 200 - 441. Let d = m + 1286. Let t = d + -638. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2281 - 949. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 161, 295, 403, 485, 541, 571?\n\"Answer: -13*j**2 + 173*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 5. Let a = 33 + p. Suppose -2*r + 38 + 182 = a. List the prime factors of r.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -65\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.3, -0.1, 2\/63, 1, 5?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(2\/25)\/w)*w*w**(-17))\/(w**(-11)*w**9) assuming w is positive.\nAnswer: w**(-302\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 2 (b) -63 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 345, -50, -697, -1590, -2723?\nAnswer: -4090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4622 - -4622. Let c(v) be the first derivative of -1\/28*v**4 - 2\/7*v**2 - 9 + k*v - 4\/21*v**3. Determine i, given that c(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 183190472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/12281902 or 0?\nAnswer: 1\/12281902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 14 - -1 - 3 - 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.102016 to three dps.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 1473?\nAnswer: 8838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3996*r**2 - 8*r + 4. Let q(u) = -u**2 + 2*u - 1. Determine 4*q(o) + t(o).\nAnswer: 3992*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -37. Let b be (-2)\/8 - w*(-6)\/144. Solve -5*l + 5*s + 5 = 0, b*s - 5 = -3*l + s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1 = -4*j, -6*j + 2*j - 2*h = 26. Find the common denominator of -1*j\/(-16) + (-23)\/60 and -38\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d - 4. Suppose -n + 2*g + 12 = 0, 2*n + 5*g = 2*g - 11. Suppose -5*v - n = -17. Is 10 a factor of s(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**5 - 250*v**4 + 500*v**2 wrt v?\nAnswer: -120*v**2 - 6000*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -52. Let k be (-814)\/f - 4\/6. Calculate the highest common divisor of k and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 819.9901 litres?\nAnswer: 819990.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 - 0)\/(1 + 1). Let z(c) = -2*c + 18. Let g be z(l). Suppose -u = -g*u + 4. Solve -3*v + 4*h + 32 = v, -u*h + 13 = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -m - 18. Suppose -2*h = -5*l - 111, -4*h + 49 = m*l - 108. Let z = h + -41. Solve -5*k = -z*n + 16, -n - 6 = -4*n + 3*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*d + 24, 3*d - 2*c = 3*c - 14. Let i(x) = 9*x + 6. Let u be i(d). Calculate the greatest common divisor of 60 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0.92. Let m = -0.657 + 0.657. What is the second biggest value in m, a, 1, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbxbxxbh. What is prob of picking 2 x and 1 h?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*t - 5, 0*t = 3*t. Suppose l*v = -5*u + 135, -32 - 87 = -5*u - v. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2021361380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 take away -0.2915623369?\nAnswer: -0.6084376631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1431 * -141\nAnswer: -201771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 0 - -10) + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2776, 2837, 2902, 2971, 3044?\nAnswer: 3121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4361 divide 69326817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.5 - -3.8. Let l = 0 + 0. Suppose -4*o + 3*f - 20 = 2*f, 3*f = l. What is the third biggest value in o, c, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39.9 - 40. Let r(d) = 3*d - 16. Let j(v) = v - 1. Let f(n) = 5*j(n) - r(n). Let u be f(-8). Which is the nearest to -0.1? (a) m (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-1 + (-26)\/12) - 2. Let s = 246 + -727\/3. Let d = s + -53\/12. Which is the second smallest value? (a) d (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 5\/2, 2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/406 and -59\/280.\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -241\/3192 - 3\/152. Let t = 351 + -349. What is the biggest value in t, b, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44992 + 2*v - 22563 - 22402.\nAnswer: 2*v + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 8*d**2 - 8*d - 1. Let h be 1*10 - 6\/2. Let n be r(h). Let c be (11 + n)\/(3\/4). Solve m + 3*q + 10 = 3*m, q = -c*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 3:12 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:03 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 24 = 11*a - 30 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 - -345. Let o = z + -495.5. Let r = -2.5 + 3. What is the closest to r in 5\/4, 3, o?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-79305590)\/(-735)*-1373 + 4\/42. Round v to the nearest 1000000.\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25014 (base 11) in base 2?\nAnswer: -1000110001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -75 (b) 0 (c) 5 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) - (3 + -2*sqrt(153) - sqrt(153)) - sqrt(153)*1*-3.\nAnswer: -3 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -508158225 by -11292405.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15) + 214\/10. Let a = -408873 + 408876. Suppose 4*d - 2*d = 4. Solve -a*b + c = -4*l, d*l + 6*b - 9 = b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - ((18 - 35) + 3 - 3).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**3 - 33*s**2 - 66*s + 13. Let d be f(-13). Solve 10*p - 1905 = -d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**5\/4 - 13*a**4\/3 - 50*a**3\/3 + 24*a**2 - a + 63. What is b in u(b) = 0?\nAnswer: -2, 2\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203090356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1352022851 to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*14*3\/(-48)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 54 + 144 = 0. Let y = m - 301\/3. Let r = y + 49\/30. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11*c + 13. Let h(i) = -6*i - 7. Let q be -7 - ((-4)\/8 + 0)*0. What is q*h(w) - 4*g(w)?\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294 (base 10) to base 15.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 20419.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30386 is divided by 1595.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/597, 4, 0.4, -1\/18, 11.3 in increasing order.\nAnswer: -1\/18, 2\/597, 0.4, 4, 11.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**2 + 75*v. Let u(p) = -p**2 - 8*p - 1. Let q(a) = -20*a**2 - 192*a - 24. Let n(k) = -q(k) + 24*u(k). Determine h(n(w)).\nAnswer: 112*w**4 - 300*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 6 - 21 = 3*n, 3*w - 12 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 2*z**3 - 5*z - 13*z**2 - 16*z - 3*z. Let o be y(-11). Is o\/(88\/20 - 4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -22 - 4 - -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -523 in 4, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 + -1) - 680\/(-476)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-6))\/((-4)\/(-24)). Let o be (t\/(-4))\/(10\/40). Let f = 46 + o. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 11. Let t(y) = -y + 5. Let i(w) = -13*t(w) - 6*u(w). Let v(n) = -n - 6. Let a(q) = -3*i(q) - v(q). What is a(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*s - 11 = 4*t, 6 = t + s. Suppose 0 = 4*u - 3*u - t. Let c be ((-20)\/6)\/((-24)\/(-36)). Sort 0, u, c in increasing order.\nAnswer: c, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 415563 and 8733.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19345274 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 3:48 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 2 = 5*v. Suppose k - 24 = -2*j - 0*j, -4*j = v*k - 52. Find q such that 21*q**2 + 6*q**4 - j*q**2 + 5*q - q**4 + 1 + 10*q**3 + q**5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -u - 9242. Suppose -3*r - 3*b + 2778 = 0, -b + 3*b - u = -5*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/14 and 55\/1253848248.\nAnswer: 8776937736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(7))**2 + sqrt(2) + 4 + (1*sqrt(2))**2*-3 - ((sqrt(800) + 1)*3)**2.\nAnswer: -7209 - 359*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-2*o + 5*o + o)*(o**4 + o**4 + o**4).\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = z + 59, -2*z + 19 - 5 = -2*j. Let u(y) = -5*y**3 - 13*y**2 + 3*y - 28. Is u(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65.73 + -0.73. Let h = l + -70. Let y be 0 - (-2 + 7\/4). Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = 3. Suppose 9 = -3*c, -p*d + 0*c = -5*c - 27. Suppose a = 7 + d. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**2 - 4*t + 34. Let j(p) = p - 3. Calculate 6*j(m) - 4*l(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3519 (base 10) to base 4.\nAnswer: 312333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5 - 81881*h**4 + 58521*h**2 - 19?\nAnswer: -120*h**2 - 1965144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.21, 0.2, 84?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - k**2 + 2*k + 3. Determine d(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 3*m - 4*g, 2*m + 54*g + 20 = 56*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92 + 92.000126. Round u to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -231\/4 + 58. What is the third smallest value in -0.3, o, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 183\/244 - -2*113\/552. Let b = 42\/23 - v. Solve -2\/3*a**5 - 2\/3*a**2 - 16\/3*a + b*a**4 + 10\/3*a**3 - 8\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441243 (base 5) to base 6.\nAnswer: -154210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 15*x + 13. Let k be s(0). Suppose g + k = 4*c, 10*g = c + 11*g - 2. What is the remainder when 11 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -15c6?\nAnswer: 15cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/2 - (-48)\/12. Calculate the remainder when 26\/(-3)*((-2 - 7) + s) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/((2\/3*(-3861)\/(-8580))\/(6\/(-4))).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**3 + 0*k**3 + 0*k**3)*(-k + k - 2*k) - 8*k**4 + 16*k**4 + 15*k**4 to the form n*k**4 + q*k**3 + j*k + p + i*k**2 and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at most as big as -21\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*s + 24 = 0, 3*v - 2*s = 22 - 8. Suppose 5*h + 73 = 3*q, -2*h + 7*h + 99 = v*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 152\/418 + 216\/(-352). Is 117 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111010111010110001 (base 2) to base 16.\nAnswer: -7aeb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 103*u**6\/24 - 3*u**5\/10 + 4*u**4\/3 - u**3\/6 + 3*u**2 + 33. Is n(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1380 and 780?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25802, -103103, -231890, -412157, -643898, -927107, -1261778?\n\"Answer: a**3 - 25749*a**2 - 61*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u - 42. Let i be v(-12). Calculate the highest common factor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -514 - 6*i + 1042 - 525. Let s(j) = -j + 1. Let f(t) = -13*t + 4. Let o(r) = -f(r) - 4*s(r). Determine 8*g(k) + 3*o(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4025)\/140*(12\/5)\/12.\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let s(j) = -183*j. Determine s(v(h)).\nAnswer: -183*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10*u - 159. Let a(m) = 191*m. Calculate a(r(w)).\nAnswer: 1910*w - 30369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (9 - 30) + 39.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 - 88. Are c and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 8:47 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -666*u**3 - 14910 - 15087 + 29997.\nAnswer: -666*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**5))\/n)\/n**(-4))**31\/((n**(-2\/15)*n*n*n\/n**(-1\/3)*n)\/(n*n**(4\/3)\/n*n**4)) assuming n is positive.\nAnswer: n**(3737\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000259616763 rounded to 6 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - k**2 - 1)*(-3*k - 3*k + 5*k) + 3*k**3 - 5*k**3 + 2*k + 0*k**3.\nAnswer: -k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -23*i - 39. What is the remainder when k(-11) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16 - 1) + 1 + 2. Let i(z) = z**3 + 13*z**2 - 17*z - 6. Let s be i(l). Let d be (-1 - -2)\/(3\/s). Calculate the highest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 150 = -4*o, 4*b + b - 335 = 2*o. Does 21 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 877097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14*-119564\nAnswer: 1673896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1856369 is divided by 232.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -765331938 to the nearest 1000000.\nAnswer: -765000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 37\/4*r + 0 + 1\/4*r**2 = 0. Calculate r.\nAnswer: -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.7 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 684076 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3528 = -0*o. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:53 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 9*x**2 - 2. Let o(l) = l**3 - 18*l**2 - l + 20. Let s be o(18). Let c(n) = -4*n**2 + 1. What is s*b(g) + 5*c(g)?\nAnswer: -2*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 14 - 28 - 27 = 2*l - 8*l, -40 = 2*n - 5*l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 11343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3232, -4, -3, 52 in descending order.\nAnswer: 52, 1\/3232, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 1. Let t be y(3). What is the remainder when 22 - 4 - t\/(-1) is divided by (-4 - -11) + (-1 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 15 = 0, 5*a - 9*a = 3*d - 17233. Suppose 936 = -9*j + d. List the prime factors of j.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b + 60*b = 16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000827519 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 173416634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/1627929063 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 65*w + 645. What is f(-58)?\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -34, -5 in decreasing order.\nAnswer: -5, -23, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**3\/2 - 32*v**2 - 761*v\/2 + 893 = 0.\nAnswer: -47, -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 90760.71 micrograms in grams?\nAnswer: 0.09076071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -27\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 less than 0.5?\nAnswer: 296.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 = 5*u. What are the prime factors of u\/(-3) - 111\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 244 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1915.914091 to the nearest 10.\nAnswer: -1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + sqrt(38)\/(sqrt(288)*-5))*3.\nAnswer: -21 - sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, q: 8, e: 1, r: 1, w: 3, i: 1}. What is prob of sequence bbie?\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o**2 - 6*o - 103. Let c(v) = -v. Calculate w(c(z)).\nAnswer: 10*z**2 + 6*z - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -2\/7, 59.6.\nAnswer: -2\/7, -0.06, 59.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672) + sqrt(42) + sqrt(42))*6*4)\/((sqrt(450)*-1)\/sqrt(3)).\nAnswer: -144*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*b, -2*w + 5*b + 2041 = 171. Is w a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -2, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 15 = 3*m. Suppose -57*j - 28 = -61*j. Find the second derivative of -25*b - 14*b**2 - j*b + m*b wrt b.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32385, 32964, 33555, 34164, 34797, 35460, 36159?\nAnswer: 36900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 + v**2 - 2. Let d be x(1). Let h be d + -3 + (-40)\/(-10). Let t be h - 3 - (-1 - 2). Solve t = 4*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 6*o + 2. Let s be c(4). Let j be 2\/(2*(-2)\/s). What is the second derivative of 4*i**j + 0*i**3 - 3*i**3 - 2*i wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 965 and 1835.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*6\/15*30\/(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6799 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n**2 - 4*n + 7. Calculate the remainder when 21 is divided by p(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7563100 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2942016 rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/3 + 238*a**3\/3 + 1936*a**2\/3 - 4840*a\/3 = 0 for a.\nAnswer: -110, -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105.488841 - 10.\nAnswer: -115.488841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -527*p**2 + 526*p**2 - 49*p**4 + 1 + 14 wrt p.\nAnswer: -1176*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 - 3*g + 1. Suppose -28 = -2*q - 4*f - 26, -2*q = 3*f - 2. Let p(u) = u**2 + 1. Give q*h(s) - 6*p(s).\nAnswer: -s**2 - 3*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1411 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2 - 1 - 4*w - w. Suppose 0 = q - 1 - 0. Determine g(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 - 77*v\/2.\nAnswer: v*(v - 77)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.620945 rounded to 3 dps?\nAnswer: 2.621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/14 + 1 + 6\/21. Suppose 5*f + 0*f - 25 = -5*r, b*r = 5*f - 1. Sort -14, -2, 4, f in decreasing order.\nAnswer: 4, f, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, j: 1, f: 1, q: 2, v: 1, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 297983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 4 - 8*r**3 - 3*r**2 + 19*r**3. Does 4 divide p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123606317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s = -83*s + 11988. Are s and 108 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 26 = -4*t, 3*t - 12*h + 11*h - 17 = 0. Solve 7*s + 2*s = t*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (13 + (1 - (-4 - -11)) - 7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*q + 10 = 0, q + 4 + 4 = 4*r. Suppose 0 = 2*p - 4, h + p - 2 = r*p. Solve 4*d = 3*i + 4 + 7, -h*d - 4*i + 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - v**2 - 6*v + 7. Suppose -4*b - 12 = -8*b. Let a be w(b). Let y = -11 + a. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 20*s**2 - 62*s + 13. Let j be z(16). What is the greatest common factor of j and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61*c + 221 + 3*c**3 - 70*c + 147*c wrt c.\nAnswer: 9*c**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 15, -3 in descending order.\nAnswer: 15, 8, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/1893120 and 9\/5104.\nAnswer: 20824320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052220?\nAnswer: 2, 5, 102611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51, 67, 67, 51, 19?\n\"Answer: -8*b**2 + 40*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 2*o**2 + 0*o**2)*(3*o**3 - o**3 + 0*o**3)*(-2 + 2 - 1).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 6*y**2 + y - 1. Let l(o) = -o**3 + o**2 + o - 1. Let w(q) = -2*l(q) + r(q). Let j be w(6). Let c = 116 + j. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*o + 112*o + 52*o)*(3 + 2 + 0) to the form b*o + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ivviigkkuiigbkkviu.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*a - 339, 5*t + 342 = 2*a + 7*t. Suppose a*h - 154*h = 27720. What are the prime factors of h?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 4226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(1\/3)))\/h)\/(h\/(h*h\/(h\/(h**(1\/19)\/h))))*h**18\/(h\/(((h*h**(-5\/6)*h*h*h*h)\/h)\/h*h)) assuming h is positive.\nAnswer: h**(2039\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - 11.2. Let h = 12.1 + d. Let x = 3.6 - 4. What is the third smallest value in -4, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1432\/5 <= -286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, 0.01, 28, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17692*g + 30690 = -9027*g - 8975*g for g.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252547186 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -577 + 599. What is the smallest common multiple of 22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4655, 4633, 4587, 4511, 4399, 4245?\n\"Answer: -w**3 - 6*w**2 + 3*w + 4659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6382924131 to four decimal places.\nAnswer: 0.6383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c - 9*c - 52 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540440 divided by -4.\nAnswer: -135110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 4*f + 7 - 5*f + f. Let h be o(-8). What are the prime factors of 3\/h*-21 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 230338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1118 = 57*j - 1020 + 1853 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(2 - (6 + -3)). Find the second derivative of -4 - 6*h + 6 + 2*h**m - 2 wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2. Let v(m) = 240637092*m - 2. Determine v(k(g)).\nAnswer: -240637092*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 184\/3 - 63. Put k, 1\/5, 5, 0.4 in ascending order.\nAnswer: k, 1\/5, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 81*y - 50. Let h be t(-4). Let b = h + 377. Let 0*m**b + 0 - 9\/8*m**2 + 3\/8*m**4 - 3\/4*m = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 - 0.11. Let w = o - 0.12. Let y = 0.38 - w. Which is the closest to -2\/5? (a) 5 (b) y (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 141, 290, 463, 672, 929, 1246, 1635, 2108?\n\"Answer: 2*d**3 + 135*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4791412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 21*s - 32. Let h(p) = 5*p**2 - 4*p + 2. Calculate the least common multiple of h(2) and u(-23).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0.5, 1, 5, -0.86, -0.2, 243?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39273247 and 1598?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 3*i - 3*i + (-1 + 4 - 2)*(-i + 0*i + 0*i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.9. Let l = -4183\/11682 - 11\/531. Let p = -1\/22 - l. Put h, 3, p in decreasing order.\nAnswer: 3, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, o: 1, x: 2, t: 2}. Give prob of sequence lo.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7871203 is divided by 119259.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - -7. What is the highest common divisor of u and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 1, 0, -6 in decreasing order.\nAnswer: 3, 1, 0, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-2*sqrt(3)) + (-3 + sqrt(343) - sqrt(343))**2.\nAnswer: -sqrt(7)\/2 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 17189587?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17054 divided by -12?\nAnswer: -8527\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -68956370.4 to the nearest one million.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -87*t**3 + 536*t - 1218. Differentiate k(d) wrt d.\nAnswer: -522*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 40320 = -5*z, -y - 2*z = 1577 - 15018. List the prime factors of y.\nAnswer: 5, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -7. Suppose 4*g = -4*g + 16. What is the remainder when q is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -142*o - 1. What is the tens digit of j(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12770.119805 plus 1111?\nAnswer: 13881.119805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1555.5 - -1556. Let c(h) = -h**3 - 15*h**2 + 17*h - 14. Let y be c(-16). Sort 0.2, n, y in increasing order.\nAnswer: y, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353 a factor of 15785451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52644 is divided by 1754.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/26658 and 64\/9?\nAnswer: 26658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a - 6 = 0. What is the nearest to 1 in a, 9, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2*2 + (-1 - -5) and 39 + -8*1\/2?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*s = -107*s - 204. Suppose -2*p - p = 5*o - 243, 3*o - 173 = 5*p. Let f = o + s. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4416\/690 - 2\/5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n - 3*n**3 - 323 + n**4 + 2*n**2 + 4*n**4 + 322 + 59*n as z*n**2 + k*n + l*n**3 + u*n**4 + b and give k.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 170*c - 170. Let h be d(1). Which is smaller: 3\/1958 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 45, 110, 209, 348?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*g = 124*g + b - 59, -5*g = 6*g + 4*b + 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 135410 at least as big as 135419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -167988\/35 - -4800. Let f = -1\/7 + q. Factor 0 + f*l**2 - 2\/5*l + 1\/5*l**3.\nAnswer: l*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041784308 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(2400))\/(5*(-6*sqrt(10) - sqrt(10))\/sqrt(5)))**2.\nAnswer: 432\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -t - 230, 3*c + 0*t = 4*t + 245. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/10)\/((-461)\/(-5532))*(-13)\/(-585)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -l - 2, -57022*l + 57026*l = -6*h + 58 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4 - 20*w + 21*w - 22. Calculate u(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvkkkvkv. Give prob of picking 1 k and 1 v.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2980164.9 months in decades?\nAnswer: 24834.7075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(6\/33 - 20\/(-132))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1179290 and 1120.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145919088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + 2 + -4 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72699199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7329 and 245.\nAnswer: 256515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**5\/6 + 2*k**4 + 9*k**3\/2 = 0.\nAnswer: -9, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*i + 13, 0 = -3*q + 5*q - 5*i + 6. Let v(n) = -9*n + 10. Let x(r) = 14*r - 15. Let k(f) = q*v(f) + 5*x(f). What is the derivative of k(u) wrt u?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051285 take away 0.4?\nAnswer: -0.348715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7262?\nAnswer: 2, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 705?\nAnswer: -7.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)\/q**(-19)*((q\/(q\/(q*q*q**(-35)*q)))\/q*q)\/(q**(3\/20)*q) assuming q is positive.\nAnswer: q**(-483\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*p**3 + 19*p**3 - p**2 + 2*p**2)*(-62*p - 20*p - 25*p + 15*p).\nAnswer: 92*p**4 - 92*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1087 and 0.1?\nAnswer: 1086.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/316 and 63\/158.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14520 (base 9) in base 8?\nAnswer: -23254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 397008\/(-810) + 2\/15. What is u rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -398, 0, 5, 771 in descending order.\nAnswer: 771, 5, 0, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*d**2 - 24*d**2 - 1512 - 536 - 657 + 8*d**2 as b + o*d**2 + f*d and give b.\nAnswer: -2705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4454367527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22235648.\nAnswer: 2, 137, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5 - o**4 + 21*o**3 - 47*o**2 + 40*o - 12 = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 38*p**2 - 4*p - 5. Let t(o) = -o**2 + o + 1. Give -4*t(g) - w(g).\nAnswer: -34*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14773.4 + -14773. What is the closest to -31 in 5, -6\/11, 4, k?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 409848178*p**3 + p**2 - 28678890*p - 3.\nAnswer: 2459089068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/(-6)*(-65572)\/(-78)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 - 21*i - 2*i**3 + 21*i + (0*i**3 + 0*i**3 + i**3)*(-i + 0*i - i) - i**2 + i**2 - 2*i**4.\nAnswer: -7*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, l: 3}. Give prob of picking 2 d.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -49*f**3 + 2*f**2 + 33*f + 9. Let m(i) = -75*i**3 + 3*i**2 + 50*i + 14. Calculate 8*l(p) - 5*m(p).\nAnswer: -17*p**3 + p**2 + 14*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 525468346 to the power of 1\/2, to the nearest integer?\nAnswer: 22923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a + 258. Let i be g(-17). Let z(t) be the first derivative of 1\/4*t**4 - t + 2\/3*t**i + 6 - 3\/2*t**2. Calculate z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18422076 and 1044.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 23*u - 76. Calculate m(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 - -78. Suppose 0 = -p - 3*p + 3*k + 20, i*p - 4 = -k. What is the second derivative of -13*v + 9*v + 9*v + 2*v**p wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2379)\/(-6) + 2\/4. Let k be (4 - 3\/(-3)) + -2. Suppose k*o + u = 4*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.3 - -26. Which is the third smallest value? (a) 2\/3 (b) y (c) 3\/7 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4512255.\nAnswer: 3, 5, 11, 23, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 148137 not equal to 382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -255, -508, -761, -1014, -1267, -1520?\n\"Answer: -253*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*28\/((-126)\/(-9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14115, 28104, 41971, 55716, 69339, 82840, 96219?\n\"Answer: -61*g**2 + 14172*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((16\/192 - (-6)\/(-45))*-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*h + 297. Suppose 5*y - 1072 = -h. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17975860 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -78*v**2 - v. Let o(j) = 6*j. Determine o(d(p)).\nAnswer: -468*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111 (base 2) to base 3.\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/3, 3, -0.5, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7720080 divided by 120?\nAnswer: 64334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*k - 10*k + 0*k)*(-5 + 3 + 1)*(2*k**2 + 4*k**2 - 7*k**2) to r + y*k**2 + m*k + c*k**3 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 21 - 57. What is the tens digit of (a\/(-14))\/((-3)\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270957, 270961, 270965, 270969?\nAnswer: 270973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + n. Let g be -4*3\/(-24)*-20. Let a be (g - -7) + 0 + 2 + 2. Give i(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-20)*15\/6. Let l be (u - (-15 + 2))\/(-1). Let h = 11838 - 11838.1. Which is bigger: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 3. Let j(p) = p**2 - 8*p + 9. Let n be j(f). Let i be (8\/20)\/(n\/250). What is the greatest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 50*z**2 - 107*z**2 + 4 + 52*z**2 - 5. What is w(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*b)*(-3*b + 4*b + 5*b) + 0*b**2 - 5*b**2 + 0*b**2 in the form a + k*b + y*b**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, g: 7}. Give prob of picking 1 t and 3 g.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*g + 17, 0 = -4*x - g - 3*g + 16. Suppose 3*s = 6, v - 6 = -x*v - s. Which is greater: -2\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 102*i + 1296.\nAnswer: 2*(i - 27)*(i - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -47, 0.1, -3\/7, -5, 0?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 10*z - 2. Is 6 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a hour in minutes?\nAnswer: 2610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12513307.\nAnswer: 12513307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 82.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2611350754?\nAnswer: 2, 2543, 513439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8448)\/(-10944) + (-4)\/38*1. What is the second biggest value in 1, -5, 0.019, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23059199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + v**2 + v - 2. Let h(p) = 6*p**3 - 4*p**2 - 13*p + 12. What is h(l) + 5*t(l)?\nAnswer: l**3 + l**2 - 8*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207*s + 2*s**2 + 20*s - 54*s + s**3 - 41*s to the form q + d*s**3 + n*s**2 + r*s and give r.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2011220 (base 4) to base 6\nAnswer: 103332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1727 and 33?\nAnswer: 5181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -39*a**2 - a. Let p be c(-1). Suppose d + 8 + 17 = 0. Let n = d - p. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 103*f**2 + 17*f + 17. Let a(g) be the first derivative of -34*g**3\/3 - 3*g**2 - 6*g + 2958. Calculate 17*a(c) + 6*h(c).\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 - 3*f**2 + 173*f - 23. What is the smallest common multiple of w(7) and 50808?\nAnswer: 50808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139\/93 - -5\/31. Let b = -22\/61 + 232\/305. What is the smallest value in b, 4, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45959 + 37*z**3 - 45959.\nAnswer: 37*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/(15\/1)*1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + z - 13 = 0, -4*p + z = 7 + 16. Let o = 5 + p. Is -4\/11 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**3\/3 - r**2 + 7*r + 5. What is the units digit of h(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 73?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 697484 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 5*b**3 + 3*b**2)*(b**2 + 2*b - 2*b)*(776 - 393 - 397).\nAnswer: -70*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + sqrt(162))*-4 - (2*sqrt(162)*-5 - sqrt(162)))**2.\nAnswer: -1008*sqrt(2) + 8002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0293 + -2982451466\nAnswer: -2982451466.0293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-4))**17\/((h\/(h**(4\/21)*h*h*h))\/h**(-1\/53)))**22 assuming h is positive.\nAnswer: h**(2134484\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5 = -4*l + 3, -4*l - 6 = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 = 3. Let w(m) = -6*m**3 - m**2 - m - 1. Let b be w(z). Let p = -3 + b. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32444*l + 189 - 74 - 37874*l - 1331 wrt l?\nAnswer: -5430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1195 + 2058. Let s = 1457 - f. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 212987 = 2*s, 4*m - 9 = m. Suppose -5*d + 4*d = 5*l - s, -20 = 4*d. What is l rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 1, 37, -4, -1 in decreasing order.\nAnswer: 65, 37, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -495*u**4 + 966*u**3 - 447*u**2 - 24*u.\nAnswer: -3*u*(u - 1)**2*(165*u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3828447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**2\/2 + 8*r + 2. Let p be q(-4). Find the third derivative of 3*s**p - 2*s**4 + 2*s**2 - s**2 wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6)*1044\/12. Let v = 63 + h. Does 46 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 14*j - 5. Suppose -8*o = -6*o + 24. Let z be n(o). Let q = -15 + z. Solve -q*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -7, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511\/6 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27, -112, -253, -450?\n\"Answer: -28*d**2 - d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-102)\/(-5))\/(3289\/(-130) - -25). Suppose -3*z - z = -4. What is the third biggest value in z, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 5*u**2 - 7*u - 5. Let t be z(-6). Let s(a) = -1 - 4*a + t. Let j(d) = -d. Determine j(s(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29310.\nAnswer: 2, 3, 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m. Let l(v) = 10*v. Let f(b) = -4*l(b) + 14*o(b). Let u(x) = 30*x**2. Calculate u(f(k)).\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*g**3*l**2 + 90*g**3 - 13*l**3 wrt l?\nAnswer: -18*g**3*l - 39*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-14)*-6*330\/(-4065930)*-518?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-82)\/(-12) + (-1)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = -24*h + 27*h - 19, 5*k - 4*h + 14 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1778669237 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -151047474 divided by 18933?\nAnswer: -7978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:11 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*s + 41*s - 8 - 82*s as t*s + i and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1539 and -83\/45543.\nAnswer: 1229661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29578772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206497152.\nAnswer: 2, 3, 79, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 444 and 5550?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 16*p + 39 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 7:34 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1862, 7492, 16916, 30152, 47218, 68132?\nAnswer: 92912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*z**2 + 2*z - z**2 - 8*z**2 to j*z**2 + h*z + c and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x + 17. Let y be a(7). Are y and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-4)\/(6\/135*9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117885 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2 + 4668*y - 2723778 = 0. What is y?\nAnswer: 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561289 at least 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 5. Let m be (3 - 4)\/(-4 + 5). Let t(j) = 3*j**2 - j - 1. Calculate the remainder when p(4) is divided by t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2111 + -5?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1625\/16575 + (-8)\/(-34).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13 - 19)\/((-18)\/693). Solve 38*t = 5*t - g for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1318.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3529455 to the power of 1\/2, to the nearest integer?\nAnswer: 1879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 740\/(-408) - (-99)\/54?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.21367 and -8391.\nAnswer: -8377.78633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1843793564.\nAnswer: 2, 61, 7556531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 8. Let b be 7*(2 - 10\/i). Let f = b - -11. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-22)))\/w*w\/w**11)\/((w\/w**(-4))\/w*w\/w**(-46)) assuming w is positive.\nAnswer: w**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 559 and -50.\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -2\/41 (c) -0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(390\/575625)*(1 + 0)*-1. Calculate the greatest common divisor of y and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -32. Suppose h*y - 4*p - 13 = 0, 0 = y - 3*y - 2*p + 16. Suppose -y*n + 295 = 5*g, -g - 3*g = 5*n - 295. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10*c**2. Let j(z) = 3*z. Let p(h) = -4*h. Let l(d) = -3*j(d) - 2*p(d). Give u(l(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**3\/3 - 595*j. Let m(c) = -1011*c. Calculate m(d(z)).\nAnswer: 2022*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 633931592 to the nearest integer?\nAnswer: 25178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + (sqrt(833) - (-3 + sqrt(833)))**2 + sqrt(833))*3.\nAnswer: 39 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -35289 divided by 722\nAnswer: -35289\/722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5039 * -20.\nAnswer: -100780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -254020 (base 7) in base 3?\nAnswer: -2101110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 10 + 8 = 3*h, 0 = -4*h + 2*d + 32. Is h != 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 + 0.19. Let q be (-88)\/234 - (-10)\/45. What is the smallest value in c, 0, 3\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0050392 rounded to four decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 7*h - 14. Let f = -69 + 63. Let p be w(f). Let i(k) = 16*k**2 + k. Let c be i(1). Which is bigger: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y. Let x(f) = -79*f - 11. Calculate h(x(g)).\nAnswer: -316*g - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**14*i))\/i)**42 assuming i is positive.\nAnswer: i**(-588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907640 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 11) to base 3\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (3 - (3 - 6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 9 + l - l**2 + 5*l**3 - l**2 as u + p*l**2 + s*l**3 + j*l and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + f + 775 = 0, -f = -5*r + 142 - 917. Let c = -92 - r. Suppose -c = -4*d + 3*v, 5*d - 70 = -5*v - 0*v. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -2\/5, 4\/61, 0.027, -0.2?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/2, 0.1, 4, -504?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 6*j**3 + 2*j**3 + 32716 - 32638.\nAnswer: 8*j**3 - j + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - t - 0*t - 1, 5*u - 3*t - 3 = 0. Let p = -0.23 - 0.07. Which is the nearest to u? (a) p (b) 1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*a**3 + 4\/3*a + 2\/3*a**2.\nAnswer: -2*a*(a - 2)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 2, o: 6, w: 1, u: 4, n: 3}. Give prob of sequence eb.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 49*n**6\/30 + n**3 - n**2\/2 + 58*n. Find the second derivative of w(d) wrt d.\nAnswer: 588*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 15. Let h = i + 4.9. Which is the nearest to h? (a) 2 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-1)\/r))\/r)\/(r\/r**(1\/5)))**(-36\/11) assuming r is positive.\nAnswer: r**(-216\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4\/3 - 602*u**3\/3 + 607*u**2 + 3622*u\/3 - 4840\/3 = 0.\nAnswer: -605, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*o = -121*o - 145. Put o, 0, 3 in decreasing order.\nAnswer: 3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-8))\/(((-6)\/(-10))\/(96\/160)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2. Let o(b) = 217*b + 144*b + 31*b + 143*b + 116*b. Determine m(o(x)).\nAnswer: -423801*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 142*q - 26548 - 157*q + 26548. Let w(k) = 3*k**2 - 5. Let g(n) = 4*n**2 - 7. Let l(y) = 5*g(y) - 7*w(y). Calculate l(d(z)).\nAnswer: -225*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/(-6)*6\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Let l = 2.8 + -2.3. Let d = 32 + -32.2. Which is the smallest value? (a) d (b) l (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 5, c: 3, r: 1, e: 2, y: 7}. What is prob of sequence oor?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 16, 781, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iivipiiippviipippi. What is prob of sequence ipvp?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -62*j - 815. What is z(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 368816.5g?\nAnswer: 368816500000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 16) to base 6\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137 - -237. Suppose -h = -2*g + 2*v, -3*g + 4*v = 3*v - 142. Suppose 2*c - 34 - g = 0. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2. Let d = -93 + 98. Let o(p) = 12*p**3 + 44*p**2 + 33*p + 6. Let u(g) = d*b(g) - o(g). Factor u(i).\nAnswer: -3*(i + 1)*(i + 2)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**8\/1680 - l**7\/840 - l**3\/6 + 3*l. Let d(h) be the second derivative of b(h). Solve d(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 53*x - 59. Calculate the remainder when s(5) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 49, 86, 139, 214, 317, 454, 631?\n\"Answer: r**3 - r**2 + 23*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 z when four letters picked without replacement from xzxwzbbbbbxw.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*sqrt(352) - sqrt(22)))\/(4*sqrt(14)\/sqrt(7)*-4).\nAnswer: -21*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5701 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.024 + 0.376. What is the smallest value in x, 12, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108952974 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(2*t - t - 3*t) + t - 4*t + 2*t)*(8*t**3 + 9*t**3 + 8*t**3).\nAnswer: 75*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0.8. Let b = i - 0.1. Let r = -8 + 8.3. What is the nearest to b in 0, -0.3, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-14) + 200\/56. Suppose 0 = -3*z + 9, 18 = -t*n + 9*z - 5*z. Put 8, n, 2 in decreasing order.\nAnswer: 8, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1344 and 4542384.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 0*g**5 + 0 - 12*g + 17\/120*g**6 - 1\/24*g**4 - 32\/3*g**3 + 5*g**2. Find the first derivative of d(a) wrt a.\nAnswer: 51*a**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -189.5 + 189.7. Let k = 132.8 + -133. What is the third smallest value in 49\/3, k, l?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 282.99 - 283. Which is the nearest to 1? (a) -6 (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7777046 litres in millilitres?\nAnswer: 777.7046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 413, 936, 1669, 2612, 3765?\nAnswer: 5128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 1261. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -521, -2285, -5305, -9593, -15161, -22021, -30185?\n\"Answer: -2*z**3 - 616*z**2 + 98*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/8)\/a)\/a**(-4\/3))\/(a**(7\/3)*a*a\/a**(2\/19)) assuming a is positive.\nAnswer: a**(-421\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 190. What is o rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*x + 42*x + 53*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10282 = -2*w, 0 = -l + 4*w - 5*w + 5151. What is the remainder when l is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0693 >= 215026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -312444, -20, 3?\nAnswer: -312444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.38\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000508 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 - 24*j**2 - 29*j + 46. Let u be d(13). Solve -u*t + 10*t = -6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) 0.48 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*f**3*y**2 + 161*f**3 - 243*f**2*y**2 + 11*f + 27*y**2 wrt f.\nAnswer: 462*y**2 + 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10026 divided by -6.\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 171*w**4 - 20*w**3 + 6*w**2 + 95613*w wrt w.\nAnswer: 2052*w**2 - 120*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 18012*z**3 - 869*z**2 + 869*z - 869. Let j(c) = -83*c**3 + 4*c**2 - 4*c + 4. What is 4*g(b) + 869*j(b)?\nAnswer: -79*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/1688 and -95\/18?\nAnswer: 15192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, -2, -55\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 4. Let b be k(-5). Let y(w) = -w**3 + 7*w**2 - 2*w - 5. Is y(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**0*m*m*(m\/m**(-16))\/m)\/((m**(-7)\/m)\/(m\/(m*m**(2\/21)))))**(1\/5) assuming m is positive.\nAnswer: m**(113\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(84))\/sqrt(12) - (-1 + sqrt(343))) + (-1*sqrt(567) + (sqrt(63)*-2)\/sqrt(9))*-4)**2.\nAnswer: 72*sqrt(7) + 9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 24 + 22 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 9 + 33 - 11)*(-2 + 2 + 3*v**4).\nAnswer: 177*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -20. Suppose -u = -4*v + 7. Find a, given that -30*a + 31*a + 4*a**4 - 3*a**4 - a**v - a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -157841 - -60?\nAnswer: -1577e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 8. What is the least common multiple of l and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 3, -388 in decreasing order.\nAnswer: 5, 3, -5, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vll when three letters picked without replacement from vvllllvvmmlllvlvvvl.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 219199223 to the power of 1\/4, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459 + 460 + 12*x**3 - 919.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 481 - 1?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 264 + 1218 + 122 to c*q**2 + m + g*q and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 5*j**2 + j + 7. Let l be g(-5). Let p be l\/4 + 7\/2. Suppose p*z - 144 = z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + 0 + sqrt(17) - (-5 + (sqrt(136)\/sqrt(8))**2)) + (sqrt(136)\/(-4*sqrt(8)) + (0 + sqrt(17))*-6)**2.\nAnswer: sqrt(17) + 10465\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2384240383?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -0.3 (c) -245 (d) -1 (e) 9\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 + 22*h - 2. Is f(-14) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*d - 10 = 0, 4*z = -4*d + 2*d - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2 - (-36)\/(-21)*1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/78)\/(1\/4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 12 + 6 = 0. Which is the closest to -1? (a) 0.1 (b) 7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -3, 5, -10 in ascending order.\nAnswer: -10, -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-3))*m)\/(m*m**(1\/3)))\/((m*(m*m\/(m*m\/m**(-2))*m*m)\/m*m)\/(m*((m**3*m)\/m)\/m)) assuming m is positive.\nAnswer: m**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, j: 3, i: 6}. What is prob of sequence xijx?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27873513 and -2037.\nAnswer: -27875550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*(-18)\/15)\/((-8)\/60). Let k(t) = -t + 2. Determine k(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*k. Suppose -b + 4*b = 0. Let x be 6\/(13 - 10 - 1). Solve -z + b + x = k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00191399401 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*m + 25, -33*u = 2*m - 31*u + 10. Let d(w) = 5*w + 9. Calculate d(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 852 + -569. Let r(b) = 852*b - g*b - 281*b - 283*b - 3. Let o(m) = m. Calculate o(r(d)).\nAnswer: 5*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from {o: 3, v: 10, h: 4, z: 1}?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l - 1526 = 28. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 805650035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1590833 less than or equal to -1590833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - 26) + (25 - 18)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7713158626 - -1?\nAnswer: 7713158627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -27. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1073\/1170 + 9124\/(-533754)?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 954 + -953.9999533. Round q to 6 dps.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.26 + -61.87.\nAnswer: -65.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -169.6.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4 + 13. Suppose u + b*s = 136, s - 4*s - 626 = -5*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084 is divided by 704?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 9:08 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.2, -12, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s. Let b(u) be the first derivative of -7*u**6\/360 - 38*u**3\/3 + 44. Let z(k) be the third derivative of b(k). Calculate z(f(y)).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 375933319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.215 + -0.215. What is the third smallest value in -2, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -576674*z + 578572*z - 121472 for z.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u - 3 - u)*(0*u**2 - 2*u**2 + 5*u**2 + (-3*u + 3*u + u)*(0*u - 6*u + 4*u) + u**2 - 3*u**2 - u**2)*(-5*u - 5*u + 0*u)*(-1 - 3 - 1)*(2 + 3 - 4).\nAnswer: 200*u**4 + 300*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/12)\/(-3)*(-7 + 5). Let c be (-1 - 144\/(-69)) + -1. Suppose f - 5 = j - 7, 3*j + 5*f = -2. What is the third biggest value in c, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1727.0002246 + -1727. Round r to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21b784 (base 15) in base 4?\nAnswer: 12020220013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjkkjkj. Give prob of sequence tj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60048188 by -30024094.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -2. Let a(g) = 0*g - 4 - 10 + 5 + g. Let j be a(9). Is j equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 7:34 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -7*d**2\/2 + 19*d - 2. Let w be 3\/33 - 183\/(-99)*-6. What are the prime factors of l(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7354.\nAnswer: 2, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(4\/9)))\/(b**26*b)*b**8\/b*b**22 assuming b is positive.\nAnswer: b**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1081005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 j, and 1 h when three letters picked without replacement from hqjtqqtjtttyj.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10590, -20860, -30838, -40518, -49894?\nAnswer: -58960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = 0, 5*k + 17159980 = 4*k - 4*q. Round k to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 10*j + 14. Is z(6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.1, 2, -2\/7, 0.3, -9\/74?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55803328 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06905 and -1.4057.\nAnswer: -1.33665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 21 = -102. Suppose 5529443 + 1120757 = -z*r. What is r rounded to the nearest one thousand?\nAnswer: -162000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 18 (b) -1142 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*x + r, -4*r - 8 = 2*x - 30 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 21*m**3 - 6*m**2 - 17*m - 1. Suppose -29*r = -11*r - 162. Is c(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l - 47. Calculate h(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1) + (0 - 3) + (-13 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 12*n**2 - 3*n + 1. Let g be b(-2). What is the second derivative of 11 - 25*l - 1 - 8 - g*l**2 wrt l?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 65?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.112167us to hours.\nAnswer: 0.0000000150311575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.3968042 times -2?\nAnswer: -26.7936084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197877.\nAnswer: 3, 71, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1918766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -37. Let a = q - 12. Let h be 2\/4*(-1 - -19). Put a, h, -1 in decreasing order.\nAnswer: h, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -180721*v**2. Let o(r) = -795*r. Give f(o(l)).\nAnswer: -114220190025*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -936, -1875, -2814, -3753, -4692, -5631?\nAnswer: -6570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/25 + 0 + 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 4*q**2 + 3*q - 6. Suppose -2*p = -3*r - 6, -3*p + r - 11 = 2*p. Let w = 5 + p. Calculate the smallest common multiple of w and c(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 156*y + 14 - 40*y + 65*y as s*y + z and give s.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l - 9. Let q(f) = 7*f - 7. Let k(m) = -13*m + 13. Let u(d) = 6*k(d) + 11*q(d). Determine 6*u(n) + v(n).\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**3 - 83*g. Let t = -2 + 1. Let v(d) be the first derivative of -d**2\/2 + 2. Calculate t*h(b) + 5*v(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1512293*x**2 + 9135990*x.\nAnswer: -3024586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2784273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 + 161. What is the third biggest value in 0.1, g, -4\/5, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 640 - 639.999998353. What is g rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - a - 2 - 0, 3*a + 12 = 0. Let v be (p + 3)*(-142)\/2. Let f = v - -100. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128163890 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187916413.\nAnswer: 823, 228331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 1. Let c(x) = -x**3 + 4*x**2 + 11*x - 9. Let l(y) = c(y) - 4*o(y). Let j be l(4). Let m = 24 + j. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m - 17. Calculate the smallest common multiple of u(4) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 f, and 1 c when three letters picked without replacement from cmymyfghcfcfmhycyyfc?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(864) + -1*sqrt(864) + sqrt(864)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357389.\nAnswer: 357389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 31 - 2. Let l be (x\/6)\/((-4)\/(-24)). Let n = l + 21. What is the highest common factor of n and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 7. Let y be n(10). Let k be 3\/(-2)*2\/y. Solve -k = 2*l - 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 + 2*h - 6. Calculate the smallest common multiple of (1\/(-5) + 1)\/(6\/15) and k(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/54)\/((-30)\/(-45)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1))\/w)\/w)**(-25)\/(w*w\/(w\/w**(-1)))**(1\/44) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h**3 + 8. Let k(p) = -4*p**3 - 4. Give -7*k(s) - 3*o(s).\nAnswer: s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.93 - -0.95. Put 0, h, -0.14 in descending order.\nAnswer: h, 0, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -3*f + 8*f. Let h = 40 + f. Suppose -5*s + 384 = h*q, 0 = 3*s - s - 8. Round q to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 450\/4 + 2\/4. Calculate the common denominator of (1\/(-1))\/((-18)\/g) and 157\/70 - 9\/15.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + 3 + 2 + 3 + (sqrt(13) - (sqrt(468) + ((sqrt(468) + -2)**2 - sqrt(468))))).\nAnswer: -150*sqrt(13) + 2778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w - 5. Give y(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -81, -28 in decreasing order.\nAnswer: -1, -28, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -56, -5, 11, -3345?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 105 + 6 = 0. Let i = -31 - j. Suppose 5*s + 5*z = i*s + 24, -z - 12 = -5*s. Solve 15 = -5*f + o, 1 = s*f + 3*o - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -17*t + 15*t - 2*t**2 + 3*t**2 - 12 + t**2 - 11*t. Determine q(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f = 22*f + 576. Suppose -5*x - j = -17, x = 6*j - 3*j - 3. Suppose -x*y + 12*y = f. What is the remainder when y is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 304*x**3.\nAnswer: 304*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 32, 0.4, -2\/9, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2235)\/105 + 21 + ((-2120)\/224 - 3\/12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51219 and 378?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8523039 micrograms to milligrams.\nAnswer: 0.0008523039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 16*m**2 + 4*m**2 + 2*m**2. Let t(u) be the first derivative of -2*u**3 + 19234. Give t(n(p)).\nAnswer: -2904*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019965 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - h - h)*(1 + 1 - 1)*(1 + 0*h + h - 4*h).\nAnswer: -6*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o**2 + 1. Suppose 7*t - 5 = 2*t. Let a be g(t). Let p be (a\/4)\/(9\/(-60)). Solve -p = -5*i, i - 8 = 5*z - 3*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*y - 109*y - 46*y - 135*y + 561*y.\nAnswer: 178*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -3*i + 2*a, -5*i + 0*i - 2*a - 143 = 0. Let o = i + 50. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2005 is divided by 53.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-12 + 29) - (3 + -14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -51*f**3 - 14*f**2 - 50*f - 49. Let b be l(-2). What is the greatest common factor of b and 3198?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(40)\/(sqrt(16)\/sqrt(2))) + (3*(-1*sqrt(14) - sqrt(14)))\/sqrt(7))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 3323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 320001 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1355409 and 792?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 23*q + 276*q - 379563*q**2 + 379566*q**2 in the form b*q**2 + p*q + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 226916.66 rounded to the nearest 1000?\nAnswer: 227000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70845 (base 9) to base 6.\nAnswer: 555452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.3. Let t = j - 0.02. Let x = 0.32 + t. What is the closest to 1 in -0.4, x, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {c: 5, z: 6, j: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -170864559 divided by -40653?\nAnswer: 4203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45476 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(-15) - (-19)\/(-3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55194196 is divided by 2881?\nAnswer: 2879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 7*t - 319. What is t rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10420\/3 - 3473. Let a(m) be the third derivative of -11\/60*m**5 + i*m**4 + 0*m**3 + 0*m + 13*m**2 + 0. Find the second derivative of a(h) wrt h.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(2299))*-3 + 6*(sqrt(2299) - (sqrt(2299) - (sqrt(2299) + -1))) + 1)**2 + -3.\nAnswer: -1980*sqrt(19) + 744898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {j: 4, q: 2, t: 3, e: 5, u: 5, m: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260028*i - 520046*i + 260026*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(776\/36860 - 548\/760)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -k - 1, 3*n + 0*k - 19 = 4*k. Let u(v) be the third derivative of v**5\/20 + v**4\/12 - v**3\/6 + 1374*v**2. Calculate u(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-74)*(-35)\/560*4*6\/3\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21440 = 684*z - 1220*z for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.3 in 0, 2, 4, 1\/6, -43.36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g - 12 + 4 + 6*g - 4*g. Let d be c(-3). Let i = 44 + d. Solve -12 = 3*s - i*l, 0 = 2*s - 0*s + 5*l + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 4:43 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6673563 (base 8) in base 10?\nAnswer: -1800051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 383167, 383173, 383181, 383191?\n\"Answer: b**2 + 3*b + 383163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1146*n + 32700 + 32773 = 16195 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2748550691?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 69\nAnswer: 5\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -41?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-9)\/((r*r\/r**3)\/r)*(r\/r**(-7))\/r*r*r*r*r*r**(2\/7) assuming r is positive.\nAnswer: r**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + x. Suppose 0*k + k - 20 = x. Suppose 5*l - 4*c - k = c, -c + 11 = 2*l. Let f(n) = -n**2 + 3*n + 4. Calculate f(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 1. Let b(f) = f**2 + 2. Let a be b(0). What is y(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 124, 264, 456, 700?\n\"Answer: 26*a**2 + 10*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151557?\nAnswer: 3, 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 131.5*0.07\nAnswer: 9.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7 + 3*r + r**3 - 4 - r - 4*r**2 + 1. Let k be m(3). Let h(q) = 3 - k - 3 - 2*q - 2. What is h(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*l - 19*l + 48 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11564107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 4*s - 5*l, -6 - 67 = -3*s - 4*l. Suppose s = 4*r - 3*r. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 25, -35 = 5*t + 18*q - 16*q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/20 + 3 - 4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/35)\/5*28\/(-12)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403, -405, -407, -409, -411, -413?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + -6164366?\nAnswer: -6164352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -340.69913 to 0 decimal places.\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6122 - 6109. Sort o, -1, 2, 44 in descending order.\nAnswer: 44, o, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -6, -5, 0, 16.\nAnswer: -6, -5, 0, 16, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3096996525.\nAnswer: 3, 5, 7, 43, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.9 + 8.9. Suppose w + 2*w = 24. Let o = w + -9. Are o and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 1. Let f(c) = -8*c - 22. Let m(p) = 2*p + 13. Let w be m(-6). Let b(u) = w*f(u) + 10*k(u). Let i be b(7). Put -4, 8, i in descending order.\nAnswer: 8, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 6*t - 4. Suppose 0 = 2*v + v + 18. Let a be q(v). Let c = -62 - -62. Is a > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4295 + -30.6.\nAnswer: -4325.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + z. Let v(g) = -g**2 - 11*g + 6. Let s(c) = v(c) + 2*x(c). What is s(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50227\/1 + (-15)\/3. Suppose 671*t = 673*t - b. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2397888 divided by 92?\nAnswer: -26064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -c - 95 + 3*c + 5*c + 0*c - 3*c in the form x + q*c and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/5)\/((-7)\/((-420)\/8)). Suppose 4*p = c - 33, 5*c - 241 = b*p - 8*p. What is the greatest common factor of c and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2499 - -18501. Round f to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*p - 5616 + 5616 to the form b*p + v and give b.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2689\/60 + 449\/10. Which is the nearest to 0.8? (a) k (b) -0.3 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3. Let x(n) = n**3 - n**2 - n + 3. Let y be x(0). Suppose -137 = -y*j + 115. Let d = 77 - j. Let s(g) = g - 10. Calculate d*c(h) + 2*s(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = 688 - 548. Which is smaller: 1.16 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2. Let n(d) be the third derivative of 1\/3*d**3 + 0*d**4 + 0*d + 0 + d**2 - 1\/30*d**5. Let u(k) be the first derivative of n(k). What is u(m(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 1:31 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 195 = -9*y. Let t be (-4)\/(-20)*-4*y. Find the common denominator of -30 and (-1)\/(2 - (-4)\/t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 3:33 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -206957.34 rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/189324 and 62\/5481.\nAnswer: 38432772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 + 9 + (134 - -1930)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c + 33*c = 272. What is the greatest common factor of c and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 - u**3 - 2*u**3 - 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 3*j - 7. Let p be a(6). Let l be (24\/8)\/(18\/24). Suppose -p = -l*d - 7. Which is greater: d or -1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - -2.5. Let r = -43 + 40. What is the nearest to u in 2\/13, r, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -11*h + 115. Let o be v(5). Solve r - 57 = -o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65722, -131446, -197170, -262894?\nAnswer: -328618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/21033 and -19\/144?\nAnswer: 336528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12202 (base 3) in base 13?\nAnswer: -bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -16*f**3 - 23*f**2 + 87*f - 30. Determine r(2).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2455, -2454, -2453, -2452, -2451?\nAnswer: -2450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-3)\/y))\/(y*y**(-5\/6)))**(-26\/9))**12 assuming y is positive.\nAnswer: y**(-1508\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10 - 3 + 5 - 9*w + w**2 - 1. What is the least common multiple of 2 and q(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7.5. Let r = -888\/5941 + -2\/457. What is the second smallest value in o, r, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 410585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**5 + 441*t**4 - 16422*t**3 + 15546*t**2 + 16425*t - 15987 = 0.\nAnswer: -1, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8140, 0, -0.5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 8*c**2 - 11*c - 10. Calculate the remainder when x(-9) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/15)\/((-4)\/78). Suppose -3*x + 4*z = 9*z - 37, -2*x - z = -u. Let w(q) = 0 + 2 + x*q - q**2 - 8 + 2. What is w(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 11*h = -352. Suppose -8 - h = -5*z. Solve -3*p = 2*m + z, 4*p - 5 = 3*m + 5*p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 9*k**2 + 5*k - 10. Let y be h(-8). Calculate the greatest common factor of 112 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1.3, 0.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219159772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 488293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1039, -2165, -3361, -4657, -6083, -7669, -9445?\nAnswer: -11441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -97063 divided by -3\nAnswer: 97063\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.2 + -4.1. Let h = -18 - 134. Is h <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((540\/(-1170) - (-166)\/78)\/(10\/12))\/67\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (167118\/20601)\/((-164)\/146). Let h = 2\/4469 - u. What is the common denominator of -49\/144 and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7646.029 centuries in millennia?\nAnswer: 764.6029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -2) + -2 + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1696\/7, -0.9, 3.\nAnswer: -0.9, 3, 1696\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**(2\/51))*j\/j**(-2)*((j\/(j\/(j\/(j*j**28))))\/j)**20 assuming j is positive.\nAnswer: j**(-29429\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2695)*2 - 1*sqrt(2695)*-1)\/(sqrt(891) + sqrt(891)*-1*-6 - (sqrt(891) + (sqrt(891) - (sqrt(891) - 1*sqrt(891) - sqrt(891)))*-2)).\nAnswer: 49*sqrt(5)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -93 and 257140841.\nAnswer: 257140748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2*h*h\/((h\/h**(-2\/15))\/h*h)*h*h)**(-1\/36)\/((h\/(h**(1\/6)*h)*h**(-4))\/((h\/h**(-2\/23))\/((h\/(h*(h*h**2)\/h)*h)\/h))) assuming h is positive.\nAnswer: h**(88411\/12420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 27*d - 53. Let b be z(-11). Let q(o) = -o**3 + 6*o**2 - o - 9. Let n be q(5). Solve b*f + n = -3*c, 2 + 7 = -3*f - 2*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 24*j + 108.\nAnswer: -4*(j - 9)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, -47, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.1, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + b - 1. Let m(p) = 5*p**2 + 5*p - 7. Let f = -30 - -36. What is f*y(s) - m(s)?\nAnswer: s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 6*x**2 + 4*x + 2. Suppose 4*a - 132 = -4*h, -4*a + 25 = 2*h - 35. Let y = h - 16. Suppose c - y = 5*c. Calculate r(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6509477*d**5 + 6895693*d**2 wrt d.\nAnswer: 390568620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5\/9 + 13612*i**4\/3 + 2279296*i**3\/9 - 25490624*i**2\/9 - 534837248*i\/3 + 20183465984\/9 = 0. Calculate i.\nAnswer: -20362, -44, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 + (-27)\/(-7)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.107?\nAnswer: -0.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + 0.3. Let p = -7 + 10. Let w = q + p. What is the closest to -1\/4 in w, 3\/2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c - 10 = 0. Let p(f) = -3*f + 7. Let t be p(c). Let x(i) = -4*i - 2. Let d(g) = -6*g - 3. Calculate t*x(m) + 5*d(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t. Let c be ((-3)\/(-2))\/((-9)\/12). Let u be (3 + c)*(8 - 5). Let h(i) = 3*i + 2*i - u*i + 2*i. What is h(m(f))?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-12))\/((-2)\/(-210)). What is the greatest common factor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-946)\/(-430) + 262\/(-110).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**2 - 6329845*z + 6329840 = 0.\nAnswer: 1, 1265968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -489*o + 76. Calculate h(2).\nAnswer: -902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7))**(-12)\/((g**(2\/19)*g)\/g**1) assuming g is positive.\nAnswer: g**(442\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 277764*p**2 - 21*p + 6. Let v(b) = -55553*b**2 + 4*b - 1. Let o(l) = 11*v(l) + 2*z(l). Let i be o(-3). What is i rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3\/7 - 3240*t**2 + 6123600*t - 3857868000 = 0 for t.\nAnswer: 1890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-6)\/12*(-1)\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 12 = 5*s - 30, -5*s = -5*b. Let d(c) = -c**3 + 4*c**2 + 6*c. Let h = 14 - 9. Let v be d(h). Solve b*n - v*n = -6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.989 + -0.011. Let p = v + 32.2. Are p and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165587 is divided by 328?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y**5 - 8692*y**4 - 21684*y**3 - 4316*y**2 + 21692*y + 13008 = 0. What is y?\nAnswer: -1084, -3\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.14274261 rounded to 2 dps?\nAnswer: 3.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -0.0202886820981.\nAnswer: 0.1797113179019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.425 + -5.025. What is the closest to -8 in -3\/8, 5, f, 21?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7050 and 54285?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127129 is divided by 199?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 4:27 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 16, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 35 = 4*a. Let p(t) = -t**3 - 8*t**2 - 9*t + 10. Let z be p(a). Suppose -m + 0*m + z = 0. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 36. Let o = i - 47\/3. Which is greater: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*z - 2. Suppose z*n - 8 = -n. Let g be 0 + -1 + n + -1. Solve -3*u - 9 - 3 = g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1668532335.\nAnswer: 3, 5, 111235489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 21*a + 9 - 13*a**2 + a**3 + 4*a + 16*a - 6*a - 6*a. What is the hundreds digit of b(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -71 - 11?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/7)\/((-550)\/77 - 0 - -7). Solve -11*n = -8*n + s*t + 6, -n = -4*t + 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33735*k = -3*s - 33733*k - 44, -2*s = 2*s - 5*k + 61 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 226229747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59322982.\nAnswer: 2, 41, 723451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than or equal to -3275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 102*q = 60*q - 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h + 8. Suppose -9*y = 30 + 24. Give i(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959368?\nAnswer: 2, 119921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21046980709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (103*-1)\/(58\/(-4)*(28\/(-29))\/14).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 23*a - 20*a - 33*a.\nAnswer: -81*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*p + 4*x + 3, -3*p + 5*x + 14 = 0. Solve 0*l - 6 = p*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4 (c) -0.3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -793 minus -0.3?\nAnswer: -792.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33c + 5c?\nAnswer: -2e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000428932 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 382 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1749*a + 343. Is m(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 13, o: 5}. Give prob of sequence ss.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + ((sqrt(300) + 2*sqrt(300))*2*-5 + (sqrt(300) + -4 + -3 - sqrt(300)) + 1)**2).\nAnswer: 10800*sqrt(3) + 810093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 7 - 3 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 1, -107, -100 in descending order.\nAnswer: 27, 1, -100, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 2*a - 3, 7*a + 15 = 2*p + 12*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, -3, 6.\nAnswer: -10, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -450 or -441?\nAnswer: -450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3360651829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z\/z**(-2))))\/(z\/(z\/(z*z\/(z*z**(2\/9)))*z*z))*(z*z**(-8))\/(z*z\/z**(-10)*z*z))**41)**(-2\/5) assuming z is positive.\nAnswer: z**(12382\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0327 + -0.1327. What is the second biggest value in 48\/11, -1\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -4. Let i = g + -6.1. What is the third biggest value in i, -4, -1\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4526068 and 6478?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 5*c**4\/12 + c. Let y(j) = -j + 11. Let k(d) = 2*d**2 + d - 11. Let n(h) = -5*k(h) - 5*y(h). What is n(g(a))?\nAnswer: -250*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 19*q**3 + 530*q**2 + 2*q - 804. Find the first derivative of x(d) wrt d.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 37. Is 4 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 6:00 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s**3 - 2*s**4 - 4*s**3)*(-1 - 2 + 2) + s**4 - s**4 + 6*s**4 + 4*s**4 - 8 + 8 in the form x*s**2 + r*s**3 + g*s**4 + h*s + d and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 16 = -2482*w + 2482*w, 30 = w + 5*b for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-18)*(-6)\/10?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 + 2*h**5 + 0*h**5 + 0*h**4 + h**5 + 0*h**4 + (-h**2 - 4*h**5 + h**2)*(-2 + 4 - 3) + (-h**2 + h**2 + 8*h**2)*(-2*h**2 + 2*h**3 + 2*h**2).\nAnswer: 23*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 7. Let k(o) = -11. Let a(v) = 9. Let y(w) = 5*a(w) + 4*k(w). Suppose -8*q + 6*q = 2. Give q*u(p) + 6*y(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x + 240. Let q = x - 72. Suppose q - 24 = 6*r. Solve -2*n + 15 = 3*n + 5*d, -18 = r*n - 2*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -885.87 + 802.3. Let b = -0.43 + m. Let v = 79.7 + b. Round v to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 4\/3, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, 4, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67183653.8 rounded to the nearest 10000?\nAnswer: 67180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276 divided by -2.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.78143 hours to microseconds.\nAnswer: 78413148000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**3\/3 + 11*t**2\/2 - t + 32. Let g be (202\/22 - 16\/88) + 1. Calculate a(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.15, -4\/5, -112?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 - 2. Suppose -116 + 104 = 4*d. What is the nearest to o in 2, d, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4\/7 (b) -1\/2 (c) 0.3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*k - 901 = 0, -u + 6*u + 3*k = 1503. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-1 + 16\/6). Suppose 0 = -j*q + 7 + 13. Find the second derivative of -2*x + 4*x**5 - 2*x**5 - q*x**5 wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -93*w. Let r be l(5). Let o = -323 - r. What is the common denominator of 1 + -1*o\/(-36) and 73\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1859, -67, 51, -3\/4 in descending order.\nAnswer: 1859, 51, -3\/4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -264.77352 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -259*b**5 + 17841*b**4 - 2*b**3 + 19444459*b**2 wrt b?\nAnswer: -15540*b**2 + 428184*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30625223 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*o = -367, 0 = -3*k - 5*o + 125 + 260. Calculate the highest common factor of k and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -2\/5 (c) 0.2 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 7:47 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7295301114*g - 7295301114*g + 6*g**2 - 6*g**2 - g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**0*k*k**2)**(-12))**27 assuming k is positive.\nAnswer: k**(-1296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*f**3*h - 21266452*f**3*w**2*x - 6*f**3*x - 4*f**2*h*w**2*x - 2*f**2*h*w - 38*f**2*h - f**2*w*x + f*w*x - 9*f*w - 2*x wrt w.\nAnswer: -42532904*f**3*x - 8*f**2*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2328 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41093?\nAnswer: 13, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, k: 1}. Give prob of sequence kd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 385139851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43391?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**7\/3276 - 11*c**6\/2340 - 7*c**5\/260 - 125*c**4\/24 - 137*c**2. Let v(w) be the second derivative of q(w). Factor v(b).\nAnswer: -2*(b + 3)*(5*b + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j. Let q = 111 + -29. Let n(f) = q*f**2 - 131*f**2 + 70*f**2. What is n(x(y))?\nAnswer: 189*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 458030359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/4962 and 19\/27275287.\nAnswer: 163651722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936\/24*(11 + 0).\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*(-2*sqrt(228) + sqrt(228)))\/(3*(sqrt(108) - ((1*sqrt(108) - sqrt(108)) + sqrt(108) + sqrt(108)) - sqrt(108))).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, 2, 240, 5, -1 in ascending order.\nAnswer: -1, 2, 5, 202, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2836 - 2753. Let t(i) = -i**3 - 6*i**2 + 6*i - 5. Let p be t(-7). Suppose 3*x + 0*x = -2*c + s, 33 = x + p*c. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/(24\/(-32)). Suppose -12 = -d*p - 0*p. Solve -w + p = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 14*b - 197 = 0. Let n(l) = b*l - 95*l - 79*l. Let q(t) = t. What is q(n(h))?\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l - 7. Suppose 5*w + 2 - 7 = 0. Let p be (w - 3)\/2 + -6. Let z(c) = -4*c - 3. What is p*z(o) + 3*s(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 217?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 - 999 = -6*l - 90 for l.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 134544.\nAnswer: -1\/67272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-4)\/24)\/((-14)\/(-12))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 3*h + 0*h**3 + 1\/18*h**6 + 5\/4*h**4 + 1\/2*h**5 + 0 + 0*h**2. Determine d, given that p(d) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m + 4*m)*(1 - 2*m - 1) - 825*m - 140*m**2 + 825*m.\nAnswer: -146*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -682848, -682880, -682912, -682944, -682976?\nAnswer: -683008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/24*(-1434)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.077 + 3.157. Let i = 3 - j. What is i rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12752\/261621 - 146\/709. Find the common denominator of m and -59\/960.\nAnswer: 118080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 18*j + 23. Let q be a(-19). Let p = -43 - -82. Let f be 1\/(((-12)\/q)\/p). Round f to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28320 + 28320.3. What is the nearest to -0.2 in -4, 2\/9, m, 29.51?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-45))\/((-2)\/20).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-1 - (-5)\/3). Let i(l) = -21*l**3. Let s be i(1). Let k = 62\/3 + s. What is the closest to -2 in k, 1\/2, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6416 - 6362. Solve g = 15*f - 24*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**3\/3 - 141*k + 345. Let i(c) = 16*c. What is i(g(b))?\nAnswer: 16*b**2 - 2256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 6*w + 7. Let i be s(5). What is the third derivative of -3*j**2 + 0*j**2 + 5*j**i + 5*j**6 - 3*j**2 wrt j?\nAnswer: 600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -19*z**2. Suppose 5*w - 3*p = -12, -46*w + 42*w = -4*p + 16. Let k(i) be the first derivative of 0*i + 7 + 1\/3*i**3 + w*i**2. Determine j(k(f)).\nAnswer: -19*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 55*s - 1406. Calculate the least common multiple of 11 and a(26).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 + g**3 - g**2 - 4*g + 0*g**2 - g**2 + 5. What are the prime factors of o(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/20)\/(-8)*2\/(-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 take away -3.22?\nAnswer: -58.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7868?\nAnswer: 2, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 179.\nAnswer: 1\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 5*m + 0*m)*(-9*m + 11*m + 16*m).\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59814, -59821, -59824, -59823?\n\"Answer: 2*k**2 - 13*k - 59803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17361048 and 792.\nAnswer: 572914584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14379 divide 7710134832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56\/12 - 1\/(-3). Let o be (2\/(-4))\/(y\/(-40)). Suppose 3*j + 2 = o*j. Solve -3*m = -j*w + 11, -3*w = w + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 1052718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 - 3 - q - 5 + 8.\nAnswer: -6*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - d + 6*d = -10, 3*c = 3*d + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 45*p - 29. Let l be ((-1)\/6)\/(-1) - (-1331)\/(-66). What is the tens digit of o(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/152)\/(3\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -21 in decreasing order.\nAnswer: 6, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**3 + 4*p**3 + 0*p**3 - 355 - 61*p**4 + 180 + 171 in the form k*p**3 + u*p**2 + n*p**4 + w*p + o and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 30 = 5*g, 2*g + 2*g - 20 = 2*s. Sort 6, g, -1 in descending order.\nAnswer: 6, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**4 + 1275*q**3 + 1285*q**2 - 1275*q - 1280 = 0.\nAnswer: -1, 1, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*y + 17, 4*f = -y + 2 + 9. Suppose 6*x = d + x + 8, -f*d = -4*x. Suppose 0 = -0*a + a. Solve 4*q + a*p = p + d, 0 = -q + 2*p - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101745 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/1 - 0)\/(-2). Calculate the greatest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 16 - 0. Suppose -2*a - 5*c + 32 = -3*c, -2*c + k = 0. Let t be (-3)\/a + (-866)\/(-8). Calculate the highest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517303571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 + 5681\/65 + (-128)\/(-30) + -1.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2 + 6 - 5*m - 3*m**2 + m**2 + 4*m + 1. Give x(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -30, -3\/7, -13, 3\/7?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Let f = -2 + 2. Let l be 1\/2*-7 - -3. Which is the nearest to l? (a) 5 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35701.199988 + -35701. Let f = -0.2 + u. What is f rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2255 at most as big as -18033\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**4 + 25*t**3 + 1355*t**2 - 12265*t + 10890 = 0. Calculate t.\nAnswer: -18, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**7\/2520 + r**6\/144 - r**5\/60 - 7*r**4\/2 - 5*r. Let z(g) be the third derivative of f(g). Calculate z(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d8 (base 15) to base 7.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -702 + 1177. List the prime factors of h.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 94207.141 and -5.\nAnswer: -471035.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b193 (base 13) to base 11\nAnswer: 17413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.1, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 0.1, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41986*r + 83970*r - 41982*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60241, -120483, -180725, -240967, -301209, -361451?\n\"Answer: -60242*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2. Let g(v) = 625*v. What is g(l(q))?\nAnswer: 1250*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202200111 + -1?\nAnswer: -10202200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -94397798192 less than 7?\nAnswer: 94397798199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 3, -38, -1, 16 in increasing order.\nAnswer: -38, -5, -1, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(4\/4)*5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4, 3*r = 2*r + 3*q - 2. Let s = 190\/3 + -62. Put r, s, 2\/9 in ascending order.\nAnswer: 2\/9, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*n. Suppose -l = 5*c - 5*l - 216, 5*c - 2*l - 208 = n. Suppose 2*y = -2*a + c, 0 = y - a - 40 + 10. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(sqrt(729) + (sqrt(729) - (sqrt(729)*-1 - sqrt(729))) + sqrt(729)))\/(sqrt(72)\/sqrt(6) - (-3*sqrt(243) - sqrt(3))).\nAnswer: -45*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/64)\/(27\/360*10)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 2:39 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 276447 at least 276447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-371)\/(-63))*-1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 - 31*d + 2. Let c(s) = s**2 + s - 2. Give 2*c(o) + u(o).\nAnswer: -o**2 - 29*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521830304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -57. Let r = l - -19. What is the derivative of -4 + r - 8*q + 5*q wrt q?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwjb when four letters picked without replacement from {j: 2, v: 1, b: 1, w: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1648 (base 9) to base 13.\nAnswer: -75b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -9*u - 70. Let w be o(-8). Is (w*1)\/(14\/28) + 172 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**4 + 4*a**3\/3 - 5*a**2\/2 - 21. Let j(c) = 6*c**3 - 6*c**2 + 8*c. Determine -5*j(z) - 8*y(z).\nAnswer: 2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*j**2 + 3*j**2 - 10*j**2.\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9226749 and 43953.\nAnswer: 3381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 112859c8?\nAnswer: -112859c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 13 + 8*h**2 - 16*h**2 - h + 5*h**2 to b + t*h + s*h**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1183?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 308\/39*((-21)\/2 + -23 + 36). Is n < 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/8 - 583*a\/2 - 339889\/2.\nAnswer: -(a + 1166)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) - (-86)\/4. What is the greatest common divisor of 14 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**3 + 584*b**2 - 4*b - 584 = 0. Calculate b.\nAnswer: -146, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-447*y - 87*y + 533*y - 27 - 98*y)*(0*y + 4*y - 2*y) to the form i*y**2 + k + z*y and give z.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 25 = -u - p, 4*u - 4*p = 0. Sort u, 2\/3, -6\/71 in increasing order.\nAnswer: -6\/71, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 5*d**2 + 0 - 1\/6*d**3 + 0*d - 1\/30*d**5 + 0*d**4. What is q(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 5. Let o be c(-8). Suppose m - 4*k - 12 = 2*m, -o*m - 3*k = 0. Solve 0 = -m*p - 6 - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(3*(-1)\/(-14)). Let l(q) = -11*q**2 - 7. Let n(a) = -a**2 - 38*a**2 - 9*a**2 - 3 + a**2 + 42*a**2. Give f*n(d) + 6*l(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*i - 8, -f - 1 = i + 3. Which is the closest to 0? (a) 1 (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + f + 1. Suppose -g + 4 = -3*g. Let s be n(g). Suppose -2*k = -s*k + 25. Solve -8 = 4*l + 3*m - k*m, -2*m + 1 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -110*m + 88*m - 66. Sort 1, m, 187 in ascending order.\nAnswer: m, 1, 187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 32960\/(-618)*12\/(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2722 = -11*l + 13*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -2, -1, -0.1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20732 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -4) + (-7 - 1 - (-52 - -58)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01792 and -1858209717.\nAnswer: -1858209716.98208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 231*l - 549*l + 60*l.\nAnswer: -720*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1356 - -32531\/24. Let z = x + -1\/8. Which is the nearest to 0? (a) z (b) 8 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267, -286, -317, -360, -415?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27600 is divided by 6896.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5\/4 - 1599*i**4\/4 - 152993*i**3\/4 - 447801*i**2\/4 - 148203*i\/2 = 0. Calculate i.\nAnswer: -1497, -99, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-4)\/(-540)*-33*-5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.483 + 16.12. Do 1 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 12 = 0, -4*x = -0*x - 5*c - 80. Let b = -2019 + 2029. Solve 0 = -3*n + x, -7*f + 2*n - b = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from {q: 7, v: 8, i: 3}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Let a be 98\/28 + (-2)\/(-4). Factor 8 - 4*h + 4*h**3 - 301*h**2 + 289*h**s + 0*h**3 + 4*h**a.\nAnswer: 4*(h - 1)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (51006\/(-15))\/(16\/(-40)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 3*o + 4*o + 7 + 9*o + 7*o**2. Let a be 3\/(-6) - (-17)\/2. What is the units digit of l(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -768 + 1885. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(18*-4*3\/(-36))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 177*y**3 + 159*y**2 + 48*y. Let s = -6 + 8. Let b(d) = -11*d**3 - 3*d - 7 - 10*d**s + 7. Let j(a) = 33*b(a) + 2*f(a). Let j(x) = 0. What is x?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2989*a + 167 + 1193*a - 78 - 90 - 1208*a to g + t*a and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 23*l**2 - 126*l + 720. Let x(g) = -210*g**2 + 1135*g - 6480. Let i(f) = 55*w(f) + 6*x(f). Suppose i(s) = 0. Calculate s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010017 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + -9.92. Let q be (-1)\/(-5)*(-5)\/4. Let r = 4.94953 + 0.05047. Sort q, n, r in ascending order.\nAnswer: n, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/4*((-33)\/(-9) + -3). Calculate the highest common factor of c and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 4 (c) -3\/4 (d) -19\/2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 19*h**2 + h**3 + 2*h + 48 - 25*h**2 - 40. Calculate w(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 3*l - 1. Let d be c(3). Suppose -j = -5*j + 64. Let w = d - j. What is the remainder when 18 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 695 - 662. Suppose s*w = 4 + 62. Solve -6*d + 8 = -w*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 27*b - 112. Solve -5*t - 2*t + b = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -773*k**3 + 895*k**2 wrt k?\nAnswer: -4638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -4 + 0*j**4 - 3\/5*j**5 - 2*j + 0*j**3 + 0*j**2. Find the first derivative of d(x) wrt x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17200 is divided by 3269?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40906436645.00000171 + -40906436327. Let q = n - 318. Round q to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -25*r**2 + 38*r + 19. Let l(s) = 5*s**2 - 7*s - 4. What is 2*i(k) + 11*l(k)?\nAnswer: 5*k**2 - k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 149 = 19. Calculate the remainder when o is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 35825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, 7593, 5, -5\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 15*b**2 - 9*b + 13. Let w be v(8). Let s(z) = -z**3 + 5*z**2 - 5*z + 3. Calculate s(w).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4312 and 528.\nAnswer: 25872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15. Suppose 4*c - c - 12 = m. Let x be (5 + -5 + c)*1. Solve -x*f + 13 = -7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) + (sqrt(91) - sqrt(91)*2)))*4)\/((sqrt(77) + (sqrt(77) - sqrt(77)*-1))\/sqrt(11) + sqrt(7)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -9*2\/30 - (-2013)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x**2 - 1. Let o = 16 - 15. Let g be (4 - 1)*1\/o. Suppose g*i - 3 = 3. Give z(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**3*j**3*s**2 - 2*i**3*j*s**6 - 6*i**2*j**3 - 2*i*j**2 + i*j*s**2 - 51*j**3*s**4 wrt s.\nAnswer: -240*i**3*j*s**3 - 1224*j**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 80 - 60. Suppose 5*z - u = 42. Suppose 2*l + 0*l = 52. What is the remainder when l is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -7 + -1 + 4. Let y be (17 - (w\/1 + 1))*1. Suppose -209 = -10*k + 9*k. What is the greatest common factor of y and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 + 1) - (115 + (-93 - 75)) - 10\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278150*f + 368 = -278166*f for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -474200 to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*c - 139*c + 332*c + 126*c + 207*c - 95*c.\nAnswer: 726*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-8) + ((-290)\/(-56) - (-100)\/175). Is b less than or equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -43*b**2. Let n(s) = -2*s**2 - s**2 - 3*s**2 + 3*s**2 - s**2. Give n(q(a)).\nAnswer: -7396*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-6\/5)*d)\/d**16 assuming d is positive.\nAnswer: d**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -240 (base 8) to base 11\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**7\/42 + 11*k**6\/24 - 35*k**5\/12 + 125*k**4\/24 + 1669*k**2. Factor s(w).\nAnswer: -5*w*(w - 5)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 36*t**2 - 8*t + 5. Let a be r(9). Let c = -1304 + a. What are the prime factors of c?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6536*h - 84028 = -495796 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 4*y - 54. Let a(p) be the first derivative of p**4\/4 - 5*p**3\/3 - 3*p**2 - 3*p - 1. Let k be a(y). Put 2, k, 3 in ascending order.\nAnswer: k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 314*h - 1252. Determine g(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9283 - -9279. Suppose -z = -5*n - 28, -2*z + 4*z = -5*n - 4. Put q, 3, z, -3 in decreasing order.\nAnswer: z, 3, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 1 + 3. Let v(o) = -o**3 + 8*o**2 - 7*o + 6. Let q be v(7). Suppose 2 = 4*g - 6. Solve x*b - q = -g*b - 5*c, 0 = -2*b - c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1391 and ((-30)\/55)\/(77693\/(-12947) + 6).\nAnswer: 8346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-80)\/(-15) - (-7)\/(-21). Suppose -k*g + 50453 = 3*j - 111599, g = -j + 32410. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(((q\/(q**(-1)*q))\/q)\/q)))**(-3\/4))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 269*n**6\/120 + n**5\/10 - 5*n**4\/12 - n**3\/2 + 34*n**2. Is k(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppfppxezpppfdxd.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + 126 + -124.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3113, -6205, -9297, -12389?\n\"Answer: -3092*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, -380, 7\/3, -3, 10, 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37793591 - 0.01?\nAnswer: -37793591.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**3 - 3*r**2 - 3*r + 7. Let p(v) = 34*v + 303. Let q be p(-9). Let i(b) = 4*b**3 + 4*b**2 + 2*b - 7. Let k(l) = q*h(l) - 4*i(l). Factor k(u).\nAnswer: -(u - 1)*(u + 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3416573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*h, 4*h + 39 = -t + 4*t. Let r = t + -17. Let b be 0\/(r + 4) - -5. Solve -2*w - 4*y - 16 = 0, b*w + y = -0*w - 22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 8 + 2 + (-4 - 2 + 5)*(0 + 1 - 3) - 2 + 0 + 1)*(-2*h + 4*h + 0*h).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 57*a. Let k(c) = c + 3. Let u(t) be the second derivative of -t**3\/3 - 4*t**2 - 67*t. Let o(d) = 8*k(d) + 3*u(d). Calculate n(o(f)).\nAnswer: 114*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*x = 6, -x - 2 = -b - 2*x. Suppose -b*t + 2749 = 833. Suppose -3*v + t = -v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1265 + 136*q**2 - 1272 + 2537 + 30*q - 135*q**2. Let o be (-1)\/2 - (-2)\/4. Let j(w) = 0*w**2 + o*w**2 + w**2. Calculate t(j(i)).\nAnswer: i**4 + 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -0*u + u. Let n be 14309\/11 + (-2)\/u. Let w be -1*3 - -3*n. What is w rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4393 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/9)\/((-6)\/90*10). What is the closest to 2.49 in 3, 1\/3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1746532 is divided by 81.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 40 - 8 - 25 - 41)*(23*c**3 - 745*c + 745*c) as r*c**2 + k*c + b*c**3 + a and give b.\nAnswer: -1932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * 2015.\nAnswer: -2619.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135607417.\nAnswer: 7, 162229631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from znszzziininnzzinzcnc.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 10. Let u = -1258 - -1263. What is the closest to m in -0.4, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 4, -5, -1 in increasing order.\nAnswer: -35, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75\/4 - -19. Let t be (-162)\/(-45) + 12\/(-20). Sort o, 0.5, t in descending order.\nAnswer: t, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156300, -312609, -468918, -625227?\nAnswer: -781536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 9, e: 1}. Give prob of picking 1 k and 1 o.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 3697 = -3710 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + m - 25, -3*b = -m - 11 + 1. What is the smallest value in b, -5, 3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 407\/77 - 4\/14. Solve -6 = 5*x - p*w + 4, 4*x - w - 7 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 126*o - 1277. Determine j(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -537*q**3 + 2*q**2 + 486*q + 575402 wrt q.\nAnswer: -1611*q**2 + 4*q + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/3*((-8)\/4)\/(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/9*6\/10. Suppose 4*d - r + 450399 = 0, -2*r - 61322 = y*d + 389080. Round d to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 9*a + 8. Suppose 8 = 2*d - 3*d. Let c be i(d). Solve -4*g - 8 = -c*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2072 and 41664.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/2 - (1 - -2). Suppose 4*s - 3 = b*s. Solve 5*t - 25 = -2*n, 0 = n - s*t + 18 - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.253791 millimeters to centimeters.\nAnswer: 0.6253791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*i**4*w**2 - 2*i**2*w**3 + i*w**3 - 6*i*w**2 wrt i.\nAnswer: 936*i**2*w**2 - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*j**5 + 10461*j**4 - 216621*j**3 - 280353*j**2 + 1378752*j - 66564 = 0 for j.\nAnswer: -3, 2\/41, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1010952556?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309 - 309 + 10969*m.\nAnswer: 10969*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -23, -349, -2.\nAnswer: -349, -23, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9*g + 3*o = 16, 0 = -g - 4*o - 17. What is the nearest to 32 in g, 23, -2\/11?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 49*w + 542. Let b be x(-11). Put 0, b, -123 in decreasing order.\nAnswer: b, 0, -123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.3 (b) 2 (c) -381\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66463413 (base 7) to base 16.\nAnswer: 576ee5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4147446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22574 + -22573.935994. Let f = h - 0.064. What is f rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -2)*-1 + 0. Let j = 5 - s. Calculate the least common multiple of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -24*x + 45. What is d(-4)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 68 = -18*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -91 = 611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/((-6)\/(-9)*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k - 5. Let d(r) = -r + 16. Let g be d(8). What is the remainder when z(g) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 499. Is q(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 90, 209, 356, 531, 734, 965?\n\"Answer: 14*c**2 + 77*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(112)*-2 + -4*(sqrt(112) + 1) + -5*(sqrt(112)*3 + 0))**2*-1.\nAnswer: -49401 - 504*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1507258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.46 + 0.14. Let p = y + -0.6. Let m = p - 6. Which is the biggest value? (a) -5 (b) m (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-105)\/(-25) + (-27)\/(-15) + -1. Suppose 316 = 4*u - n, v*u = -4*n + 67 + 307. Suppose 5*y + u - 73 = 0. Is 2\/135 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-30))\/(3 + 38\/(-10)). Suppose -m - 26 = -14*m. Which is the closest to k? (a) m (b) -5 (c) 2\/5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89.4 - -90. Let x = w + -17.3. What is x rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*-1 + sqrt(14) - sqrt(98)\/(sqrt(7)*3))\/((sqrt(2) - (-1*sqrt(22))\/sqrt(11)) + sqrt(2) + sqrt(32)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5758*r - 2882*r + 0*r**2 - 2876*r + 2*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-116)\/(-28) + (-55)\/(-7). Suppose 5*a - 18 = -l. Let t be 3*(-3 - a\/(6\/(-11))). Solve 5*u + 23 = 3*r + 3*u, -t*r - 3*u = 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 + 3*m - 1. Let s(w) = 2*w**2 - 3*w**2 + w + 3*w**2. Let f be (1100\/(-330))\/(3\/(27\/24) - 2). Calculate f*s(z) + 2*u(z).\nAnswer: -2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1310333131 (base 4) to base 10.\nAnswer: -479197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 252 = 132 + 200 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*h + 7, -j - 2*h = -11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {j: 1, g: 1, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by (1\/1)\/(46\/690)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2. Let p(f) = -7*f - 6. Calculate p(s(z)).\nAnswer: 21*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 6:52 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - -2?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14 - 2)*(-9)\/(-4). Let f be (1*-1)\/(9\/q). Solve 5*n - f*u = 32, n + n + 3*u + 1 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*n + 8, d - 4 = -3*n + 2*n. Let i be (-14)\/60 + d\/6. Let z be 0\/1 - 4\/22. Which is the third smallest value? (a) z (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27693244?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**3 + 8*s + 11. Let y(h) = -4*h**3 - 5*h - 7. Let r(x) = -2*x - 1. Let j be r(2). Let g(t) = j*w(t) - 8*y(t). Differentiate g(k) wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 + -283 - (-3 - -1) - (72 - 86)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, g: 1, p: 3, q: 2, i: 3, a: 4}. Give prob of picking 1 g, 1 o, and 1 q.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212496 at least as big as 1212525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0 + 0*w**5 - 1\/8*w**4 + 1\/120*w**6 + 0*w**3 + 0*w - 2*w**2. What is the second derivative of o(b) wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0.3 (c) 0.5 (d) -6.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 divided by 40599?\nAnswer: 68\/13533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 8*d**2 + d. Let h be r(4). Find the first derivative of -m**4 + 4 + 26 - m**4 - 51*m**3 - h wrt m.\nAnswer: -8*m**3 - 153*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + ((sqrt(2448) + 0 + sqrt(2448) + 1 + sqrt(2448) + sqrt(2448))**2 - sqrt(2448))).\nAnswer: -195855 - 420*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*o + 2*o**2 - 125*o - 184*o in the form x + m*o + k*o**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-five quarters of a hour?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + (-5372)\/14)*224\/(-48). Is y at least as big as 1772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 + 2 = 0. Factor -4*h**2 - h**2 + 7*h**w.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1808.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**2 + 166*a - 106. Let o be h(26). Which is greater: 179 or o?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 10036251?\nAnswer: -10036240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2070.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from qqrraqqqrarqr?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 28445850.\nAnswer: 28445848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - -4*2\/4. Let h = 2 - c. Suppose 0 = h*r + 5*r - 624. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 5*w + 25 = 0. Let k be w + (2 - (3 + -12)). Differentiate -30 + k*s**2 - 32*s + 32*s with respect to s.\nAnswer: 32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 7:56 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53555923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63*(-20)\/700*(-1)\/3)\/((-4029)\/(-85))?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 117\/108 + -1 + 656787\/(-3492). Let b(s) = -47*s - 1. Let r be b(4). Is r > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -706, -5, 0.\nAnswer: -706, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002431141 rounded to six dps?\nAnswer: -0.000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/14? (a) 36 (b) 3\/7 (c) -1.6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*s + 276 - 101 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78.35 - -3.35. Sort 0.4, k, -2\/5 in descending order.\nAnswer: 0.4, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-20 - -21 - -5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1072 - 1069. Solve 0 = -2*a - o*w - 9, -2*w - 2*w - 13 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5100)\/(-1428) + 10\/(-25) + 6\/(-35). Find q, given that -q**2 + 0 - 1\/2*q**5 + q**4 + 0*q**x + 1\/2*q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - -88?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 37*o + 8. What is q(2)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 10:07 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 2*c - 2*q - 102, 4*c + 2*q - 76 = 0. Solve 80*f - c = 74*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 121, 2, 3 in ascending order.\nAnswer: -1, 2, 3, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/356515164 and 15\/133?\nAnswer: 2495606148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8223\/4 + 2069. Find the common denominator of d and -71\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9579716?\nAnswer: 2, 197, 12157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 38*g**2 - 139*g - 1. Calculate l(3).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*j = 38109, -6*v = 12*v + 5*j - 228654. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 7*u - 1. Let x be a(-7). Let b = -4 - -6. Sort b, 1, x in ascending order.\nAnswer: x, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 119. Suppose -95*d = -25*d - 11900. What is the highest common factor of d and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxgiag. Give prob of sequence axix.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118180 is divided by 101648?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1883 = r - 5*d, -4*d = 2*r - 5*r + 5671. Let p = -13 + 18. Suppose 5*s + 3*x = 2*s + r, -p*x - 3155 = -5*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15648.795 milliseconds in days?\nAnswer: 0.0001811203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/5 + -2)*-95. Let q = -49 - f. Let t = -29 + q. Let u(z) = -z**2 - 4*z. Give u(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3101538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151.8328 hours to nanoseconds.\nAnswer: 546598080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9930619.\nAnswer: 439, 22621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 2. Let v(o) = 2*o + 3. Let d(m) = 4*m + 7. Let y(p) = 6*d(p) - 13*v(p). Suppose -29*g - 7 = -30*g. Give g*l(f) + 4*y(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let q(g) = 1326*g. Determine q(c(p)).\nAnswer: -2652*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 6*a**3 + 3*a)*(-2*a + 0*a - a + a - 2*a + 0*a + (-2 - 1 + 5)*(-1 + 1 - a) - 6*a + a + 4*a).\nAnswer: -42*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 386 - 8?\nAnswer: 37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-10 + 1 + 20)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3908*t - 51126 + 51126 - 332*t as u + p*t and give p.\nAnswer: -4240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 98, -5.\nAnswer: -5, 0, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-267)\/(-44) - (-68)\/374)*8. What is the greatest common factor of 1040 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109470 rounded to the nearest one thousand?\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8161*y + 2*y**2 - 1 + 7*y**2 + 8160*y in the form i*y**2 + h + o*y and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3264287\/846 + -7717\/2. Calculate the common denominator of n and 64\/423.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35.7354*4.25\nAnswer: -151.87545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**4\/7 + 16*q**3\/7 + 10*q**2\/7 - 100*q\/7 = 0?\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ac366 (base 14) in base 6?\nAnswer: 12542034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16228970 to the power of 1\/2, to the nearest integer?\nAnswer: 4029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 1*(-442)\/52)\/((-8)\/(-18))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -146696+-4\nAnswer: -146700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2036969 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a + 51. Let x = -12 + a. Suppose -x*p + 9 = -6. Solve p*c - 6 = -0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5668 + -3428. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -135\nAnswer: 29\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 divided by -1369.\nAnswer: 125\/1369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from tppjjntttnjjtjnjj?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -86) + (-8)\/4. Suppose 4*y - 9 = b. Calculate the highest common factor of 23 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:41 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 34. Let t = 18 + k. Suppose -5*o = -4*q + 244, 0*q + 128 = 2*q - t*o. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799891.15 rounded to the nearest one thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1374.0645 less than -0.06?\nAnswer: 1374.0045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c - 353533?\nAnswer: -35356f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4654 divided by -358\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.588087m in millimeters?\nAnswer: 588.087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -1. Suppose h*q + 167 = 2*a + 644, -5*a = -q + 100. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2225, -2840, -3455?\nAnswer: -4070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163 + 169. What is the greatest common divisor of f and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 162*x**3 - 160*x**3 - 15*x**2 + 26*x**2 as k*x + y + r*x**2 + v*x**3 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2399 - 2*j + j**2 + 2418 - 64*j**3 + 2*j.\nAnswer: -64*j**3 + j**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0.1. Let w = -2175 + 2170. What is the nearest to g in -1\/8, w, -3.8, -0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - 12. Calculate the smallest common multiple of s and 4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, 71, 290, 631, 1094?\nAnswer: 1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*g**2 + 33*g - 33*g + 19*g**2.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/5))**(6\/11))**(4\/11)\/(((o*o\/(o\/o**0*o*o)*o)\/(o\/(o\/(o\/o**(-1\/6)))))\/(o\/(o*(o**2\/o)\/o))**(-38)) assuming o is positive.\nAnswer: o**(4811\/3630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/9 - (-11720)\/(-15). Let n = -782 - k. Which is the closest to n? (a) 1\/4 (b) 6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 1 + 0*u + 0*u**2 - u**3 + 0*u**5 + 0*u**4 - 1\/2*u**6. Find the third derivative of v(f) wrt f.\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 6. What is i(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14869937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-seven halves of a millennium?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 b, and 1 t when four letters picked without replacement from xwwbxwvtkwxwx?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4710355*a*c**3 + 920*c**3 + 3134 wrt a.\nAnswer: -4710355*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= -62547390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h + 225 = 5*o, 0 = 4*h - o - 277. What is the greatest common divisor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125664 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/((-22134)\/(-56)))\/(37\/(-111)*(-4)\/6).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7060 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*((sqrt(132) - sqrt(132)*-1 - sqrt(132))*-5*-3)\/(-2*sqrt(432)*2))**2 + 4.\nAnswer: -7361\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**3 + 665*l**2 - 5*l**4 + 202*l - 774*l**2 + 3 - 3*l**3 wrt l?\nAnswer: -60*l**2 - 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*s - 7 = 8*s, -4*f - 15*s - 269 = -246 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1632 - -1701. Suppose 0 = -d - 4*w + 21, -5*d + 0*w + w + 21 = 0. Calculate the remainder when s is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - (-2093)\/(-69))*216\/20.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o + 5*o + 2*o. Suppose 0 = -d + 22 - 10. Let j(b) = -d*b - 2*b + 9*b. Give j(w(g)).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -1 + -4 + sqrt(1377) + (sqrt(1377) + ((sqrt(1377)*3 + sqrt(1377))*5 - sqrt(1377) - sqrt(1377)) + sqrt(1377))**2)*-4.\nAnswer: -2203180 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 10:19 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39356881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -335405 <= -113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039160641.\nAnswer: 31, 1279, 26209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -23*i**2 + 394*i - 49. Let p be o(17). Solve -t + 7 = p*z, -5*t = -5*z + 3*z - 23 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2*s**2 + 5*s + 23\/5*s**5 + 0*s**4 - 226 + 0*s**3. Find the second derivative of r(k) wrt k.\nAnswer: 276*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 95731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let w = -34 + 65. Let s = -33 + w. Let v(c) = 3*c - 3 + 2 + 2. Give s*f(t) + v(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739999.\nAnswer: 13, 56923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*b**3 - 21*b**2 - 29*b - 713516 wrt b?\nAnswer: -33*b**2 - 42*b - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1239, 0, -2\/7, 1, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 11. Suppose 4680 = q*d + u, -3*d + 7*d + 2*u = 4676. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -c - 4*l - 1, -2*c + 3*l = -8. Let v(t) = 6*t**2 + 2*t - 3. Let k be v(c). Solve 3*d - 4*d + 15 = -k*s, -3*d + 3*s = -21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -572 + 1185. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 - 10*q + 3. Let f be d(3). Solve -3*h - 4*h - 2*h = f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*p + 4 - 5*p**2 + 4*p**2 - 4 - p**3 in the form l*p**2 + c*p**3 + i*p + o and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 209830.041 from -0.1.\nAnswer: -209830.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + i**3 + 6*i**2 + 2*i**4 + 2*i**2 - 7*i**2 to the form d*i + q*i**4 + h*i**2 + w + b*i**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-1 - -11)\/((-50)\/(-60))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 5 = 15*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 182.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (3451\/28)\/((-77)\/120 + 4\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiididi. What is prob of picking 4 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175494719 is divided by 203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 292243?\nAnswer: 146121.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 87538 to the power of 1\/2, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 15*g**2 + 6*g - 19. Let h(w) = -29*w**2 - 13*w + 41. Let d(n) = 13*f(n) + 6*h(n). What is d(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 11:36 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -322201?\nAnswer: -322203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.41 - 2.41000314. What is w rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2829 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Let p be -7 - 5\/((-15)\/6). Let b be 68\/(-180) + (-3)\/p. What is the second smallest value in z, -0.1, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -34092197039886?\nAnswer: 34092197039886.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 854 = -122*k + 2*k. Let z = 3\/20 + -2\/5. Put 2, k, -4, z in ascending order.\nAnswer: -4, z, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696 divided by -36?\nAnswer: -424\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 2*c + 24. Let k be f(-7). Let i(m) = -m**2 - 13*m - 16. Let w be i(k). Solve 5*h + w = -2*x, -4*x + h - 16 = -4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(833) - sqrt(833))**2*-6*-4 - (2*(1*sqrt(833) + 3))**2.\nAnswer: -3368 - 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -649\/2 + 324. Let l = 9 - 5. Sort j, -0.1, l in descending order.\nAnswer: l, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (90 - 18*r + 28*r - 12*r)*(-2*r**2 + 2*r**2 - 3*r**3) in the form b*r**4 + q*r**3 + y*r + p*r**2 + k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-12 + 8)*366\/(-4). Let m = f + 78. What are the prime factors of m?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1883423 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2278081888 and 91\/4.\nAnswer: 2278081888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9895*p**5 + p**2 + 146*p - 4?\nAnswer: -593700*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 41.65. Let w = -0.15 + t. What is the second biggest value in 1\/2, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/43 in 3\/83, -2\/15, -7297?\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 17238.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -11, -139\/4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) + (-530)\/(-6). Let l(t) = t - 3. Let z be l(6). Suppose -z*f = -u + 10. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l*l*l**(-7)\/l*l)*(l*l\/l**25)\/l assuming l is positive.\nAnswer: l**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 5*x**2 + 2*x + 2. Suppose -2*f + 3*f = -4. Let u be w(f). Calculate the greatest common factor of 20 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 3136 = 4*z. Suppose 3*k + 2*b - 5*b + 294 = 0, 4*k + z = -3*b. Let n = k - -102. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 214 + -169.4. Let p = -63.7 + f. Let l = -19 - p. Which is the nearest to -0.3? (a) l (b) -7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*m - 3*m. Let u = -3 + m. Calculate the highest common divisor of 60 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3150)\/(-130))\/(-5) + 2\/(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-34675)\/(-292))\/(15\/24). What is the greatest common factor of 30 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 - 0. Let i = 26 - 24. Suppose -3*t - 5*x + m = -i*x, -3*t = 4*x - 117. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3 + 3)*(1 - 2 + 2)*(-b - 3*b + 0*b) + (-6*b + b + 10*b)*(-2*b + 1 - 1).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and 1053.\nAnswer: 16848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7*v = 2640. Suppose 0 = 4*y - 10*y + v. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w - 3. Suppose 0 = 3*q + 3*y + 15, -18 = 4*q + 6*y - 4*y. Let v(g) = -2*g - 3. Give q*p(j) + 5*v(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7*c + 60 = 0. Let x be (-388 - -2) + c\/3. What are the prime factors of x\/(-8) - (-18)\/(-24)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 - 39. Let d be 2212\/b + (-3)\/21. Suppose -6*z + 15*z = d. Let i(w) = w**3 - 6*w**2 + 5*w - 2. Give i(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 8\/4)*1. Let t be i + 4 + (215 - 4\/(-2)). Suppose 0 = 3*b - 7*b + t. What are the prime factors of b?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -20357*j**2 - 61002*j + 215. Give a(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c8 - -1a80?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0083179 milligrams in nanograms?\nAnswer: 8317.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 128*y = -218. Let w(g) = -3*g - 3*g**3 - g**2 + 3 + 0 + 5*g**2 - g. Determine w(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1069, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*i - 136 + 136 + (-i + 3*i - 4*i)*(0 - 3 - 3))*(1 - 1 + i).\nAnswer: -55*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/5 + 42*x**3\/5 + 118*x**2\/5 - 378*x\/5 - 1224\/5 = 0 for x.\nAnswer: -17, -4, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-12) + 8\/(-6) + (-1)\/(990\/(-600)).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100221 (base 3) to base 2\nAnswer: 100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**3\/6 - 3*g**2\/2 - 3*g. Let d be v(-7). Let b = d - -4. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 133899572 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 3, 868, -2\/9, -4, -2\/5 in increasing order.\nAnswer: -4, -2\/5, -2\/9, 3, 38, 868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2.1. Let q be (3\/(-6))\/(19\/722). Which is bigger: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -75 - 410?\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56429 and 803.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1917144, 1917145, 1917146?\nAnswer: 1917147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 2876*j**3 + 12*j**2 - 6*j**2 - 1657*j**3.\nAnswer: 1219*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 0.3248661?\nAnswer: -3.6751339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*k**2 - 3*k + 4 + 2*k**3 + 0*k**2 + 9*k**4 + 0*k**3 - 15*k**2 + 24*k**2 to the form y*k + b*k**3 + f + c*k**4 + l*k**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 80341 >= 1124791\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 - 4\/(-12). Suppose i*q = q - 1. What is the tens digit of (4 - 6) + q + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 1016*l**2 - 3 + 247*l**2 + 2839*l**2 + 490*l**2. Suppose -2*b - 5*b = 7. Is k(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let g(m) be the first derivative of -6899999*m**2 + 2*m - 617. Let b be g(d). Round b to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -43*r - 14. Let n be t(5). What is n rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 8)\/(((8\/(-6))\/((-1152)\/(-2592)))\/(-3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-210)*-5)\/((-1)\/(-2)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -11*u - 120. Let t = 23 + u. Let i be 4\/(-14) + (-1071)\/196. Which is bigger: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 3*z - 1. Let v(h) = -3*h**2 - 3*h. Suppose 4*y - 5 = 7*y + 5*n, -4*y = -4*n - 36. Let s(f) = y*v(f) - 6*x(f). What is t in s(t) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(((-2592)\/(-2944))\/(-81)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 1. Let t = a + 22. Let p be ((-5)\/10)\/(t\/(-4)). Sort p, 0.4, 4\/3 in decreasing order.\nAnswer: 4\/3, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.242 + 50.842. Let c = -50.1 + 1.1. Let q = c + j. Are q and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1033 in -2\/721, 4, -2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -395630167546801 + 395630305152723.0000013. Let n = y + -137605910. Let x = 12 - n. What is x rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3907162 divided by -49\nAnswer: -79738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(((k\/(k\/(k**4\/k)))\/k)\/k))\/(k**(-3\/8)*k))**(-35\/3)*(k**(-1\/2)*k*k*k**(-4\/11)*k)**(-41) assuming k is positive.\nAnswer: k**(-8093\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -46, 0.3 in decreasing order.\nAnswer: 0.3, 0.2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866829 a multiple of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (287*r - 109*r - 103*r - 12*r**2 - 91*r)*(3*r + 12*r - 14*r - 2*r**2) in the form f*r**3 + j*r**4 + z*r + m + g*r**2 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -39833.1056 rounded to the nearest ten?\nAnswer: -39830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k + 4*c = -74, -305 + 297 = -2*k + 4*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 62688.44 millennia?\nAnswer: 626884.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-72)*-1*16\/(-7)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k - 80. Determine x(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 3:46 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.69 + 34.69. Let u = -33.93 + g. Let t = 3.07 - u. What is the closest to 0 in -1\/2, t, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5)*-5*1)**2 + (sqrt(156)\/(-1*sqrt(432)))**2.\nAnswer: 11713\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + 79. Suppose -3*b + 31 = 2*f - h, 4*f - 248 = -5*b. What is the highest common divisor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-9 + -37 - -25).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2. Let f(u) = -15*u**2 + 9*u**2 - 3*u**2. Give f(d(v)).\nAnswer: -225*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44345595?\nAnswer: 3, 5, 7, 422339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -34 + (-16 - -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*f**3 - 4 + 0 + 1 - 4 wrt f?\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + l**2 - l**3 + 3*l**3)*(5 - 2 - 4).\nAnswer: -2*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = r + 21, w + r - 2 = 1. Find the third derivative of -2*i**4 + 0*i**2 - w*i**2 + 3*i**2 - i**2 wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 738 and 64836?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -4, 4, 2\/9, 8522.3 in decreasing order.\nAnswer: 8522.3, 4, 1, 2\/9, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(7) + 5 + 4*(sqrt(7) + sqrt(7) + -1) + (1 + ((sqrt(21)\/sqrt(3) + -4 - sqrt(7)) + sqrt(7) - -6*sqrt(28)\/sqrt(4)))**2.\nAnswer: -33*sqrt(7) + 348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100426 is divided by 648.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1462 + 46?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.39027 + -0.19027. Let h = 0.4 - 0. Let f be 2\/3 + (-2)\/12. What is the closest to p in -0.2, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.20453?\nAnswer: 0.40906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 + (10 - -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 313 (b) 697 (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1456.333, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((189\/(-24))\/7 - -1) + (-34997)\/(-223272)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2256, 1\/7, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49 + 4189*f**3 + 180 - 26 - 655*f**3 + 6 + f**2 wrt f.\nAnswer: 21204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1350*o - 7700 = -5930 - 7170 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 19. Calculate the remainder when 126 is divided by p(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 561 and 8118.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 13*b**2 + 4*b + 140. Let l be x(14). Sort 2, l, -0.09.\nAnswer: -0.09, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0163752 to 4 dps.\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6747996)\/14 - 10\/(-245)*-7. Round a to the nearest ten thousand.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 + 1584\/13. Let a(b) = 2*b + 12. Let g be a(-6). What is the closest to g in v, -2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -479.8 times -17982\nAnswer: 8627763.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 2, i: 1, t: 1, l: 2, e: 1}. What is prob of sequence le?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 452658747 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 4:32 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993899733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -u + 2*m + 2*m, -3 = -u - m. Suppose u*y - 4 = 6. Suppose -y*d - 2*d = -40. Calculate the highest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-90*q**3 + 90*q**3 + 6062*q**5 + 1804*q**5).\nAnswer: 15732*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 396175183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 683468*w + 21. Let f(y) = 5*y. Calculate u(f(s)).\nAnswer: 25*s**2 + 3417340*s + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 63850?\nAnswer: 63850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*f - 4010 = -2*u + 89*f, 2*u - 4010 = 5*f. List the prime factors of u.\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-518)\/(-6) - 4\/(-6). Let y = -112674 + 112680. Calculate the greatest common divisor of g and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.5 - 274.5. Let s = 234.05 + r. Round s to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/7, -2\/21, 0.03, 0.005, -0.12, 0.01?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193307933, 386615863, 579923793?\nAnswer: 773231723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979427?\nAnswer: 37, 103, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -690*b**2 + 18*b - 2 - 5 - 19*b + 0 + 19*b wrt b?\nAnswer: -1380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/18)\/(1\/6). Let d(y) = y**3 + 3*y**2 + 5*y + 2. Let a be d(-4). What is the tens digit of o\/a - (-1084)\/34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.88 and -217753?\nAnswer: -191622.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 2*r + 6 - 4, 7 = 2*q - r. Let 6*t + 5*t**q - t - 2*t**2 - 2*t = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w + w)*(-4*w**2 + 2*w**2 + 3*w**2) + (-2*w + w - w)*(-6*w**3 - w**3 + 2*w**3).\nAnswer: 11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 18*x**2 + 41*x - 15. What is h(15)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1271*c + 36. Let l(f) = -11438*f + 315. Calculate -4*l(s) + 35*n(s).\nAnswer: 1267*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*l + 18 = 0, k + 2*k + 4*l - 22 = 0. What is the greatest common factor of 14 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lle when three letters picked without replacement from {m: 2, l: 3, j: 4, n: 1, p: 3, e: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-1386) + 34\/(-561)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**3 - 77*w + 6 - 5*w**2 - 70*w + 143*w. Let l be s(-4). Let c = 502 - l. Is 44 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-15))\/((-1)\/(-55)). Find the third derivative of 37*q**2 + 4*q**5 - o*q**2 - 3*q**5 wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1147 at least -1335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7919 - 7253. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + (sqrt(3000) - 2*sqrt(3000)) + sqrt(30) + sqrt(30) - sqrt(30) - (sqrt(1080) + -2*sqrt(1080) + sqrt(1080)))\/(4*(sqrt(110)*-2)\/sqrt(11)*-5).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**7*u**4\/u)\/(u**(1\/6)*u*u*u*u**(2\/7)))\/(u\/(u**(8\/5)*u)*u**(-2\/29))**20 assuming u is positive.\nAnswer: u**(48631\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d - 4. Let r(g) = 12*g + 5. Is r(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2339524 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4306 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63578552 and 96.\nAnswer: 762942624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/((sqrt(36) + sqrt(72)\/sqrt(2) + sqrt(36))\/sqrt(4) + sqrt(9)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26622165.\nAnswer: 3, 5, 53, 33487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(1440) - (sqrt(1440) + 3*sqrt(1440) + sqrt(1440))))\/(sqrt(77)\/(4*sqrt(14)\/sqrt(2))).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + y**2 + y**2)*(0*y**3 - 8*y**3 + 15*y**3) - 20*y**5 + 40*y**5 - 29*y - 18*y**5.\nAnswer: 16*y**5 - 29*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 11 = -146. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -913, -46, 2\/3 in descending order.\nAnswer: 5, 2\/3, -46, -913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-174) + 6272\/116 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2 - 3\/2*t**2 + 3\/2*t**3 - 15\/2*t.\nAnswer: 3*(t - 3)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.98961 decades?\nAnswer: 59.8961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d + 0*d + (-4 + 4 - 1)*(0*d - 4*d + 5*d) + d + 5*d - 2*d - 2*d + 0 + 0)*(-4*d**2 + 4*d**2 + 8596764*d**3 - 8609877*d**3).\nAnswer: -39339*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4227486899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03554 + -0.03554. Which is smaller: c or -1219?\nAnswer: -1219","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 0. Calculate the smallest common multiple of 22 and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61386 is divided by 749?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 94392 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**4 - 48*u**3 + 524*u + 6. Let s(f) = -f**3 - f + 2. Let y(v) = c(v) - 3*s(v). What is the second derivative of y(g) wrt g?\nAnswer: 36*g**2 - 270*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/2 + (-168)\/35)\/(276\/(-230)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*f**3 - 77009*f**2 - 22002*f.\nAnswer: -f*(f + 11001)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/5447 and -8\/143.\nAnswer: 59917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2710584 divided by 5076\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 19. Let o be (-132)\/32 + u\/(-16). Let l(f) = -f**2 - 5*f - 3. Let w be l(-4). Sort o, -5, w in decreasing order.\nAnswer: w, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1375, 1751, 1\/5 in decreasing order.\nAnswer: 1751, 1375, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 - 670 + 157 + 173 + 147 - m.\nAnswer: -m - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 2369?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24933 + 24932.988148. Round l to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84545, -169093, -253641?\nAnswer: -338189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2100 or 157426\/75?\nAnswer: 2100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48169*o - 4*q - 2 = -48172*o - 10, 5*o - 40 = -4*q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5987030 divided by 155?\nAnswer: 38626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3596 + 3596. Which is the closest to -5? (a) 5 (b) 39 (c) 1\/11 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 77, -2.9, 0.1, 0.5, 4?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -10*k - 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a**2. Let q(i) = -3*i**2. Suppose 9*v = 108 - 9. Let b(n) = v*q(n) - 4*l(n). Give b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -106, -168, -254, -364, -498?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 382224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 121. Let c = g + 36. Solve -w + 5 = -c*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0. Let p = 0.2 + j. Let c = 0.1 + p. What is the biggest value in -4, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -175, -223, -271, -319?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -215*k + 211*k. Calculate the greatest common divisor of 1353 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*i + 45*i = 88 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*y - 17. What is the remainder when (-2 + -3)\/(-5)*17 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and 0.10665?\nAnswer: -3.1995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 4*d - 2. Let g be p(-2). Let l(f) = 1 - f - 1 - g*f. Give l(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 2, z: 2, s: 4}. What is prob of picking 1 w and 1 s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -7 (b) 2\/19 (c) -2196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 5*z**2 - z + 4. Let t be q(5). Let v be (0 + t)\/(1\/(-3)). Suppose n + v*n = 172. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (4\/(-1) + 3). Is b >= 2\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 31. Let w(l) = -l**3 + 18*l**2 - 40*l - 37. Let s(n) = 46*n - 123. Let g be s(3). Calculate the remainder when w(g) is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 d when three letters picked without replacement from {s: 1, b: 1, d: 1, f: 5, t: 2, w: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 5:05 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nniy when four letters picked without replacement from {n: 4, y: 3, i: 6}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 2}. What is prob of sequence bb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62 and 0.4.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllvvlvvllllvvvvlvv. Give prob of picking 3 v and 1 l.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4191*w + 4200*w - 8380*w. Let t(j) be the second derivative of -3*j + 0*j**3 + 0 - 1\/6*j**4 + 0*j**2. Determine t(g(b)).\nAnswer: -242*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14428 - -14427. Let o = -3.2 + 3. Let g = -4.99 + -0.01. Put o, g, 0.04, t in decreasing order.\nAnswer: 0.04, o, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.868 greater than 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 - 461 = 2*s. Let j = -124 - s. Let k = -38 + j. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 7*l**3 + 61*l**2\/2 - 71*l - 17. Let i(h) = -4*h**2 - 12*h + 14. Let s(u) = 11*i(u) + 2*r(u). Factor s(n).\nAnswer: -2*(n - 1)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6.4 (b) -2 (c) 4\/3 (d) 1\/5 (e) -1\/3 (f) -27 (g) -0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -545233 divided by 21.\nAnswer: -545233\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 p when three letters picked without replacement from kloookkpoopl?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t - 4967 = -3*y, -y = t - 995. Suppose -4*z - z + g = -t, -201 = -z + 3*g. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 10*f + 2. Is 12 a factor of j(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 232*g**3 + 6*g**2 - 220. Let n(s) = 232*s**3 + 5*s**2 - 220. Let o(t) = -6*n(t) + 5*u(t). Differentiate o(m) wrt m.\nAnswer: -696*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-5)\/(-2)) - -2. Let o be 3\/(-6) + (-7)\/(-2). Let d = 98\/3 + -33. What is the closest to t in d, -2\/9, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, -4, -43, -128, -277, -508, -839?\n\"Answer: -3*d**3 + 4*d**2 - 2*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/765 and -37\/255.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -243*u**5 - 242163*u**4 + 107907*u**3 + 230199*u**2 - 107664*u + 11964 = 0.\nAnswer: -997, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 132163.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478474 is divided by 68171?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5*v\/((v\/((v\/v**3)\/v*v)*v)\/v))\/(v**(2\/3)\/v*v*v*v**(-1\/4)))\/((v\/(v**2*v))\/(v\/(v**(-2\/9)*v))*(v**1)**32) assuming v is positive.\nAnswer: v**(-1015\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -146248*w**2 + 132 wrt w.\nAnswer: -292496*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23482675?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*o*p**3 - 217*c**3*o*p + 2*c**3*p**2 - 2*c**3 - c*o - 4*o + 871*p**3 wrt p.\nAnswer: -12*c**3*o*p + 4*c**3 + 5226*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3696 - 2306 + 1814 + 79*q**2 + 126*q**2 - 32*q**2 + 7*q**4 with respect to q.\nAnswer: 28*q**3 + 346*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + -5 - (0 + 0). Let b = n + -1. Solve 6*u = -4*h + u - 17, -b*u = -3*h - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b + 5 = 0, 118 = 5*a - 3*b. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65269.96 decades in months?\nAnswer: 7832395.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 51. Let j be (-12)\/(-4 - g\/8). Solve 2*t = 4*r - j, -t = 3*r - 3*t - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(18)*-1).\nAnswer: -6 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(6)\/(sqrt(2) - -6*2*sqrt(2)) - -3*sqrt(33)\/(sqrt(11)*2)) + -1)**2.\nAnswer: -41*sqrt(3)\/13 + 2339\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 12:27 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9067, 36264, 81593, 145054, 226647?\n\"Answer: 9066*b**2 - b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y. Suppose 10*k = 9 + 1. Let s(r) = -r - 2. Let i(d) = 2. Let g(m) = 4*i(m) + 3*s(m). Let o be g(k). What is w(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.25 - 1.35. Let m = 0.2 - 0.3. Let s = m - z. Do s and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2349 and 199491?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -899 + 859 - ((-9 - -2) + 5)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -35107347600 and 6.1.\nAnswer: -35107347593.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3018*o - 10576 = 374*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2261876*d**4 + d**2 + 3009964*d wrt d.\nAnswer: -27142512*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2. Let h(s) = 0 + 2 - 4 + 1. Let v(z) = -z + 1. Let l(k) = -h(k) - v(k). Calculate l(x(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 758*o - 785*o + 54. Let q = 5 - 11. Let f = q - -5.6. Which is the nearest to o? (a) -4 (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**5\/30 - 5*x**4\/24 - x**3\/3 + x**2\/2 + 5*x. Let u(o) be the first derivative of n(o). Give u(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + t + 1. Let z(d) = 3*d**2 - 11*d. Let i(q) = 2*j(q) - z(q). Is 24 a factor of i(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620882 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9669605 kilometers to nanometers.\nAnswer: 966960500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 23. Let o = -41 - -66. Calculate the remainder when o is divided by f(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-15)*-6*(-1565)\/(-313)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3733, 3668, 3569, 3442, 3293, 3128?\n\"Answer: w**3 - 23*w**2 - 3*w + 3758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 841124 and 1756.\nAnswer: 841124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 2*b**4 + 20 - 9*b**4 - 10 - 2*b**2 in the form n*b**3 + j*b**2 + m*b**4 + u*b + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8568753 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - a - 14 = -0*d, -d + a - 4 = 0. Let h = 8 + d. Suppose h*r - 50 = -m, -m + 182 = 3*m - r. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -253, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - -0.36. Let v = t - 0.453. Round v to three decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -34.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 76973949?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.2019 + -0.2019. Which is the closest to 2\/9? (a) 5 (b) -1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -2. Let p(d) = -d**3 - d**2 + d - 4. Let i be p(4). Let x = 155\/2 + i. Which is the second smallest value? (a) x (b) z (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15056000 and 44?\nAnswer: 165616000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32178\/31832)\/(18\/1656).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - 29. Let o = i - -81. Let b = o + -2. Put b, -1, -6 in descending order.\nAnswer: -1, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*17278.\nAnswer: 8639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -9. Suppose 2*k = u*r - 0*k - 10, 5*k = -25. Suppose r*y + 2*l - 10 = -2*y, y = 3*l + 17. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*t - 36 = 78*t. Is 12 a factor of (2 - (-3)\/t)*(-1976)\/(-65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2. Let o(p) = -183*p + 217216. What is o(c(l))?\nAnswer: 183*l**2 + 217216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-2\/27)*k))**44\/(k**(-1\/3))**(2\/65) assuming k is positive.\nAnswer: k**(-71482\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*p = 246*p + 4218 - 9 for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d. Let s(h) = 8*h**2 + 2*h. Calculate -2*c(x) + s(x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-450)*-5)\/(8\/18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(847) + sqrt(847))**2 - (sqrt(175) + sqrt(175) + sqrt(175) + 0)**2)*6.\nAnswer: -4368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-1 + -5 + 25).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*y + 25, 0 = -4*y + 25 - 5. Solve 2*v + d*v = 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 7.3. Let c = 0.1 - m. Let d(l) = l - 11. Let z be d(6). What is the smallest value in -1\/6, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 o, and 2 p when four letters picked without replacement from xdropsr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d1637 (base 15) to base 7.\nAnswer: 24354334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**2 + 29*g - 21. Let x = -451 - -456. Let b be m(x). Which is bigger: b or -57\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -384 - -5762\/15. Let l = 6 - 4. Let o = l + -1. Sort d, -3, o in ascending order.\nAnswer: -3, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*m - 2 + 13 = 0, 5*m = 3*b + 30. Let t(o) = -o**2 - 3*o + 5. Give t(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 6072984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**9\/840 + o**7\/210 + 7*o**4\/4 + 23*o. Let q(l) be the third derivative of i(l). Find the third derivative of q(h) wrt h.\nAnswer: -432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 13*f = -16. Suppose f*q - 25 = -q. Let y(u) = -5*u - 3. What is the lowest common multiple of q and y(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-3\/5)*g*g**(-3)\/g*g**(2\/3)\/(g**(-4\/11)*g) assuming g is positive.\nAnswer: g**(-424\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*m - 56. Let a be (-1293)\/(-15) - m\/35. Let p = 93 + a. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 9 + 12 = 0. Let m = 8 - 11. What is the second biggest value in 0.4, m, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3825, 13696, 30155, 53208, 82861, 119120?\n\"Answer: t**3 + 3288*t**2 + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {z: 2, a: 8, r: 1, k: 1, i: 2, d: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -30992355 greater than or equal to -30992355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -369048038 rounded to the nearest one million?\nAnswer: -369000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - (sqrt(1008)*-4 + sqrt(63))) + sqrt(63)*2*-5 - ((sqrt(5103) - -1*((-2*sqrt(5103))**2 + sqrt(5103))) + sqrt(5103)).\nAnswer: -20412 - 63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)\/(15\/225). Suppose 0 = -n*x + 14*x + 387009. Suppose 0 = 3*w - 3*o - x, 645009 = 7*w - 2*w - 3*o. What is w rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 345 = -21*i. Calculate the highest common factor of 69 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 236670912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5860332 to 3 decimal places.\nAnswer: -0.586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 - 2*b**4 + b**4 + (-4 - 9*b**2 + 3 + 13*b**2)*(-1 + 1 + 2*b**2) to v + q*b**3 + r*b + w*b**4 + n*b**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 q when three letters picked without replacement from usussuuuquuqs?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 <= -27427.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**23*x**(7\/5)*x\/((x**(-2\/9)\/x*x)\/x)*x*x*x\/(x*x**(-4\/21))*x assuming x is positive.\nAnswer: x**(9391\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 = 3*t + 5*b, -5*b - 20 = 0. Let q(d) = -t*d + 14*d**2 + d + 4*d + 2*d**2. Let l be q(-8). What is l rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4469561442?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*f - 115, -96 = -4*u - 68. Solve -43*r - 24 = -f*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t. Let d(k) be the first derivative of -5*k**4\/6 + 4*k - 6. Let a(n) be the first derivative of d(n). Give a(u(p)).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 + -123e644?\nAnswer: -123e613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 98573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -369618, -739237, -1108846, -1478439, -1848010, -2217553?\nAnswer: -2587062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1878375*x = 1878405*x - 1200 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 29 - 37. Calculate the remainder when 89 is divided by ((-96)\/18)\/(z\/9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*p + 45 = -2*m, -3*p = -m + 22. Suppose 0 = o - c - 2*c - 50, -25 = 5*c. Calculate the remainder when o is divided by 61\/m + (-6)\/(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (1 - 12\/(-3)). Suppose 0 = -u + g*u + 36. Let t be 8\/u*(0 + -6). Solve 0*v + t = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325\/(-8) - 29330\/(-46928)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14028 by -105.\nAnswer: 668\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43924 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19593 + -19593.3. Suppose -4*y - 30 = -8*y - 2*r, -r = 4*y - 25. What is the fourth smallest value in -1\/2, 0.02, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22209812?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 501, 650, 905, 1272, 1757, 2366?\n\"Answer: t**3 + 47*t**2 + t + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -22010?\nAnswer: 22002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*m**4 + 43*m**4 - 9*m**4 + (3*m + 6*m - 5*m)*(-m**3 - m**2 + m**2) + (5*m**2 + m**3 - 5*m**2)*(-4*m + 6*m - m) - 2*m**4 - 2*m**4 + 5*m**4.\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, -13\/4, 2\/11?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 8 = l + 3*l, -l = -2*z + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 6 = 1 - 22 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 5\/2, 1\/2, -1\/3, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3\/2 - 1157*a**2 + 2316*a = 0.\nAnswer: -2316, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 34\/15, -9, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + r + 148, -4*i - r = -5*r - 292. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24b (base 16) to base 14.\nAnswer: -2dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6. Let g be p\/(-2)*3\/(-3). Solve g = 3*s - 6*s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 + 3*o**3 + o**3 + o**3.\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3))**(-2\/31)*(v**3)**(3\/41) assuming v is positive.\nAnswer: v**(673\/3813)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-35)\/15 - 0)\/(2\/(-12)). Let h = -41 + j. Is -30 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i + y = 23*i - 18, -3*i + 2*y + 24 = 0. Let l(n) = -2*n**2 + 18*n - 17. Give l(i).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11770091 to the nearest integer?\nAnswer: 3431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 752313308 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98860*i**2 - 96462*i**2 - 1 + 195319*i**2 + 1.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012020011200 (base 3) in base 12?\nAnswer: 267130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -596, -1194, -1792, -2390?\n\"Answer: -598*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/14)*o*o*o*o\/((o\/(o\/(o**(-2\/3)\/o*o)))\/o)*o*(o\/o**1)**(-29))**(1\/24) assuming o is positive.\nAnswer: o**(283\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - 26. Let l = o + 46. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*j - 2*w - 82 + 17 = 53, 5*j + 3*w - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 7.2 (c) -0.1 (d) -4 (e) 0 (f) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16a7a69 + -1?\nAnswer: -16a7a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (-51 - (21 - 84))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2 + 2 = 0. Let y(j) = 6*j**2 - j - 1. Let u be y(s). Solve 2*b = 5*p - 15, u*b - 2*b = -p - 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q + 12. What is f(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125438*t**3 - 125478*t**3 + 3*t**2 - 3*t**2.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8952*y**6 + 46*y**5 - y**3 - 3*y**2 + 2932*y - 21?\nAnswer: -1074240*y**3 + 2760*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11955423 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, -144, 21, -44, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.054? (a) 4\/7 (b) -0.6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12931 + 471. Let z = -6460 - c. Round z to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 399, 716, 1035?\nAnswer: 1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5516 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -20 + 48 + -7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*7\/49*7\/(8715\/(-10))?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*(y**(-9)\/y)\/y))\/y*y*y**0*y)\/((((y*y\/(((y\/((y*y**(3\/17))\/y*y*y))\/y)\/y*y))\/y*y)\/y*y)\/((y\/(y*y\/(y**(-8)\/y)))\/y)) assuming y is positive.\nAnswer: y**(-54\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588138426 divided by -5159109.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s**2 + 2*s + 32. What are the prime factors of z(-8)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w + 4 + 2*w - 5*w. Let k be n(-4). Solve b + 4*s = 6*b - k, 0 = b - 2*s - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + b + 3 - 14, -4*b + 14 = d. Suppose -d*r + 3*n + 98 = 0, -4*n + 112 = 2*r - 0*n. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 o, and 1 r when three letters picked without replacement from ssorsryysyy.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, 483 in decreasing order.\nAnswer: 483, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64556265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 52 = -4*d, 0 = 4*d - k - 8 - 38. Let p = -47 + 50. Suppose -o + d = p*o. Solve -3*m = -o*z, 2*m + 7 = -3*m - 2*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 5*p**4 - 4*p**4 + p**4 - p**4 - 2*p**4 + (0*p**4 - 4*p**4 + 3*p**4)*(1 + 1 + 1) - p**4 + 5*p**4 - 2*p**4.\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 13 - 2*a**2 - 2*a**4 - 17 to the form o*a**2 + b*a**3 + g*a**4 + u + c*a and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 224652 to the power of 1\/2, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j**2 - 73*j + 78*j + 31 + 5*j**2 to the form v + x*j + d*j**2 and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-432)\/(-42)) + 0 + 8\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 2 - -2) + (-64 - -393243) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgcmcgcmctco. Give prob of picking 2 c, 1 o, and 1 t.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15072*x**2 - 2107 wrt x.\nAnswer: -30144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 4:35 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 20 - 4 = 0. Let f be 3 - 2\/(-4)*w. Let b = 4 + -9. Put 2, f, b in decreasing order.\nAnswer: 2, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5361 + -56.91.\nAnswer: -5417.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/7)\/(x*(((x**7\/x)\/x)\/x)\/x*x*x)*x**(-11\/3)\/(x**(-3\/2)*x))**(1\/4) assuming x is positive.\nAnswer: x**(-409\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*l - 20 = 0, -3*u + 160*l = 157*l - 15. Solve -3*v + u*t = -5, 13*t + 32 = -v + 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -9*k**6\/2 + 18*k**5 - 21*k**4 + 8*k**3 - 219. Factor a(w).\nAnswer: -3*w**2*(w - 2)*(3*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 18 = r - 96, -4*r = 3*p - 314. Suppose -h = h - r. Let z = 99 - h. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h + 25. Let l(r) = -2*r - 6. Let x(a) = -6*i(a) - 26*l(a). Let d(t) be the third derivative of t**4\/12 + 152*t**2 + 123*t. Give d(x(j)).\nAnswer: -4*j + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-35))\/((-72)\/20).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 107*g + 4761 = 350*g + 15673 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 5*s = -3 - 38, 35 - 8 = -5*o - 3*s for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0 + 1\/10*z**5 + 0*z**2 + 0*z**4 - 2*z**3 + z. What is the second derivative of v(c) wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019249 to seven decimal places.\nAnswer: -0.0001925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1690*n**2. Let j(b) = 2209*b. Give j(a(p)).\nAnswer: -3733210*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1573314*r - 7351369 wrt r?\nAnswer: -1573314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 39*z - 1621. What is u(41)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -958*u + 33. Suppose -8 - 8 = 8*f. Is g(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 6. Suppose 2*h = -h + q. Suppose -2*f + 20 + h = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, 1, 4, -13, -6 in ascending order.\nAnswer: -13, -9, -6, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Let o = 6 - 3. Which is the biggest value? (a) 2\/7 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3 = 18. Let d = 27 + -45. Let o = 21 + d. Solve 3 + y = o*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 7:31 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + 0 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4570 - -11772. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2.1771 (b) -2\/9 (c) 0.03 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 3087\/(-1548))*4*-2.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 272 and 442?\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 466183495 to the nearest integer?\nAnswer: 21591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10690365 and 2825.\nAnswer: 53451825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 109 (b) 50\/3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 5 (c) -598 (d) 0 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h + 5. Let b(c) = c. Let g(y) = 6*b(y) + i(y). Let o be g(-6). Let d = 26 - o. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 87332*z + 87281*z + 3.\nAnswer: -51*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/6 + z**3 + 7*z. Calculate v(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 28. Let c(v) = 2*v - 42. What is 5*c(h) - 8*q(h)?\nAnswer: 2*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(176\/(-80))*2\/12?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374660279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from {a: 1, j: 1, q: 1, u: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3419229606 to three dps.\nAnswer: 1.342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (4 - 20)) + -9 + -12 + 12 + 13.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 - -73. Let h be 1\/(3 - 1\/(-1)). Suppose -26 = 5*g - 4*y, -5*y + 29 - 1 = -4*g. Which is the nearest to h? (a) g (b) t (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wquw when four letters picked without replacement from {u: 2, q: 6, w: 3, o: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4337.9 + -0.15.\nAnswer: 4337.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x + 44*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/25 (b) 2 (c) 1.6 (d) -3 (e) 7.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112970 and 286.\nAnswer: 112970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 238824641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20651632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48253491 divided by 1237269.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-46.\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 917*m. Let o(h) = -5903*h. Determine b(o(j)).\nAnswer: -5413051*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -114*p + 112*p + 32. Solve 0 = -5*t - 2*q - 2*q - 32, 4*q + p = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w**3 - 4*w**3 + 2 + 5*w**3 + (-2*w**3 + 3*w**3 - 2*w**3)*(4 + 1 - 4))*(-5*w + 7*w - 12*w).\nAnswer: -70*w**4 - 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2) - (-7 - -3). Find the second derivative of 0*g**q - 3*g**4 + 2*g + 0*g**3 + 7*g**4 wrt g.\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 404 = 4*u, -47*t = -4*u - 44*t + 408. What is the greatest common factor of 9645 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1283*v = 2147*v - 6860. Factor -2\/3*y**4 + 22\/3*y**v - 8*y - 24 + 4\/3*y**3.\nAnswer: -2*(y - 3)**2*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3543 - -5?\nAnswer: 3548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 35151925 divided by -4\nAnswer: -35151925\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 70*f**2. Let x(z) = 4*z**2. Determine g(x(y)).\nAnswer: 1120*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 13*r**2 - 1. Let g be k(13). Let i be -4*(g - 0 - 0). Solve 0 = -2*p + i - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-177)\/(-6))\/((-3255)\/(-13020)).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9224.34949 to the nearest integer.\nAnswer: -9224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4116?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-2 + 0)**2*1.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.964 + -95.136. Is u > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467389.\nAnswer: 13, 157, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 18*l + 48. Determine r(-18).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/(-20))\/(-4) - (-24)\/10. Suppose -3*t + 1083 = l, -3*l + 67 + 655 = i*t. Calculate the highest common factor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 49880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.21 - 0.21. Let r = 14.867 + -14.09. Let k = -0.377 + r. Put k, t, -1\/5 in increasing order.\nAnswer: -1\/5, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/50*-8*-1. Let f(m) = -m**2 + 4*m + 2. Let z be f(4). Sort -7, h, z in increasing order.\nAnswer: -7, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61641.\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/6)\/(4\/36). Suppose -2*f + 15 + r = 0. Suppose 3*t - f = 6. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 7*z - 486 - 2*z**2 + 172 - 144.\nAnswer: -z**2 - 7*z - 458","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1, -5\/5816?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59.1 + -58.689. What is g rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - 1) + -3*1. Let a be (v\/(-10))\/(6\/24). Sort a, 2, -1\/20, -4 in decreasing order.\nAnswer: 2, -1\/20, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 11218627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14427614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-12)\/(-10))\/(126\/140).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(72) + -3)*4 + -5 + 1 + 1 + sqrt(2) + 0)**2.\nAnswer: -150*sqrt(2) + 1259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.576 - -0.424. What is the closest to 1 in -1\/6, c, 3\/44?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -41.\nAnswer: 57\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -2\/7 (c) -201 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -271*c**2*n**4 - 3*c**2*n - 3*c**2 + 38*c + 8*n**4 - 4*n wrt n.\nAnswer: -3252*c**2*n**2 + 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65110691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 0, -0.3, -27.8 in increasing order.\nAnswer: -27.8, -4, -0.3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1116?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-3\/2))**(-36)\/(((w\/(w\/w**(8\/3)))\/w)\/(w**(2\/57)*w)))**2 assuming w is positive.\nAnswer: w**(-3444\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/7))**(-8\/15))**(1\/30))**(13\/4) assuming c is positive.\nAnswer: c**(26\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2166891 and 19\/4333782?\nAnswer: 4333782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57985223 or -1?\nAnswer: -57985223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*v - 13*v + 24*v - 41 + 15 to k + q*v and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1912*d**2*g - 2217*d**2 + 2*d*g wrt g.\nAnswer: -1912*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24417 and 856665.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:23 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*u + 15*c + 292 = 0, c + 4 = -27*u + 23*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {p: 5, t: 4, c: 2, r: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2426 and 0.04538.\nAnswer: -0.011009188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*i + 16 = -4*i, 4 = -i. Let m = 0 + 1. What is the derivative of 0*l - 2*l**2 + m + b*l wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 0, 36, -72212 in decreasing order.\nAnswer: 36, 2, 0, -1, -72212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 487*k - 10224. Let g be z(21). Let l = 0 + -4. Let j = l + 9. Which is the third biggest value? (a) g (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.6 - -69.1. What is d rounded to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 3:28 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-775)\/(-70)) + 4*1 - (-285840)\/3360?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k - 7. Let n(y) = -y + 1. Give -4*n(l) - x(l).\nAnswer: -3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68795 is divided by 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 3455.999.\nAnswer: 3458.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-18))\/(151\/30 + 135\/(-27))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*u - 16*u - 8*u**3)*(-6*u + 3*u - 5*u).\nAnswer: 64*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12\/7*-1*3\/(-12)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.32 and 439.\nAnswer: -579.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 28958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 129271626*w**4 + 93574*w - 1749?\nAnswer: 1551259512*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u + 12*u + 224 = 12*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3 + 12 = 5*n, 6 = 2*n + 3*t. Suppose n*f + 40 = 64. Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (1 + 0\/(-2)). Let x be ((-13)\/(-4))\/(1\/i). Let t(d) = d**2 - d + 91. Let f be t(0). What is the greatest common divisor of x and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*x = 8, -4*j + 3*x - 5*x + 16 = 0. Solve 2*d = 4*t - j, -d + 4 = -4*t - 3*d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3496\/76 - (21060\/369 - 11).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 698*q - 1399*q + 701*q - 16*q**3 - 5*q**3.\nAnswer: -21*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213 + 457. Let a = -48 + x. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-30)\/165 + (-13)\/(-11))\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 43042448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7187 (base 16) in base 12?\nAnswer: -1499b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 15*y - 20*y + a, y = 5*a - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -182729 or 0.1?\nAnswer: -182729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*g + 59*g**3 - 61*g)*(0*g**2 - 3*g + g**2 + g).\nAnswer: 59*g**5 - 118*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**9*b)))\/b*b*b**3*(b**6)**(-38) assuming b is positive.\nAnswer: b**(-215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335395022 is divided by 13107.\nAnswer: 13106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-3\/5)*x))**0*(x*x**(3\/5))**(1\/6) assuming x is positive.\nAnswer: x**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/36120344 and 143\/4920.\nAnswer: 541805160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2371.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:40 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6089a8 (base 15) to base 2\nAnswer: -10001011111011111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 31 = -4*q - 2*g, 2*g = 0. Suppose -5*k + w = -75, q*k + 4*w = -38 + 138. Let v = k + -1. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2994876 rounded to three dps?\nAnswer: -1.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -369 - -12834724182.7\nAnswer: 12834723813.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824951 is divided by 412427?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1525, -6002, -13449, -23866, -37253?\nAnswer: -53610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a factor of 70206465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -1\/11797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*-1)*6*4)\/(sqrt(14)\/(-1*sqrt(200))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmrr when four letters picked without replacement from rrrmrmmrrr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 2*u**2 + 2*u**2)*(-7*u + 8*u - 7*u)*(u + 2 - 2).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 0*h**3 + 0*h**2 + 33 - 30*h - 5\/4*h**4. Differentiate l(y) wrt y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*a = 23683 + 9658. Let g = -7 + 38. Calculate the remainder when a is divided by g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*r**2 - 20*r**2 + 7*r**2 + (11*r - r - 4*r)*(-3*r + 0*r + r))*(3 - 2 - 2).\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -262945 (base 13) in base 5?\nAnswer: -213414144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -8 + 60*j + 4*j**3 + 43 + 1 + 28*j**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 834 and 68249.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -6*a + 120. What is the remainder when 36 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1821810 and 1230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -25.6. Let n = 4 + b. Let k = 0.39998 + n. What is k rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**4 + 10515*b**3 + 72489438*b**2 - 395181565884*b + 492242253260184 = 0.\nAnswer: -5693, 3066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -6. Let p be 1*((-2)\/(-1) - i). Suppose p*a = 2 + 10. Solve 2*x = -5*r + a*x + 20, 0 = -3*r + 2*x + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7a34 (base 14) to base 6\nAnswer: -242114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9573 take away -1685644?\nAnswer: 1676071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 50319.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120460029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-294)\/245)\/(2\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - -12. Solve -5*b + 6 = 3*i - w, i - 4*b + 13 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20010201 (base 3) to base 4\nAnswer: 1011322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1499 - 72. Let t = -1570.999999167 - o. Round t to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*n + 5, -5*f - n + 6 = 3. Suppose 0 = 4*q - z + 12, 2*q - 2*z + 7 = f. Let h(i) = i**2 - 7*i + 7. Let g be h(5). Is g > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -90634 + 79?\nAnswer: -90555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 0 = -4*d + 2*c, 3*c = d - 7. Let q = -15 + 25. What is the highest common divisor of d and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 14 = -0*j. Let q = -10 + 7. Let f be (-2 - 12\/q) + 4. Solve f = -w - j*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 27*s + 413. Let p be j(-15). Let l be p + 147\/(-28) + -3. What is the nearest to 0.5 in 2\/7, -0.4, l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 3*o**2 - 4*o + 1. Let p be b(3). Let c = 15 + p. Suppose -2*a = -c*a. Solve a*i + 2 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -329\nAnswer: 1\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + 1 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:20 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h - 14. Let n = 139 + -134. Calculate the remainder when 23 is divided by w(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + 3. Let j(b) = 7*b + 7. Give 2*j(i) - 5*p(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -969 + 972. Factor -15*j - 24*j - g*j**3 - 28*j - 102*j**2 + 24*j - 56*j.\nAnswer: -3*j*(j + 1)*(j + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - 29. Let c be (-14)\/m - (-34)\/(-40). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499932217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -72 - -e1?\nAnswer: 6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 2:49 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 3001?\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 144453, 144448, 144443, 144438, 144433?\n\"Answer: -5*o + 144458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**5 + 3*s**4 - 38*s**3 + 36*s**2 + 136*s - 192 = 0.\nAnswer: -8, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17670, 4, 0 in increasing order.\nAnswer: 0, 3, 4, 17670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27, 15, -23, -99, -225, -413, -675?\n\"Answer: -2*u**3 - u**2 + 5*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -57217403.71 to the nearest one hundred thousand.\nAnswer: -57200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-84812)\/(-78) + 2\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 14 = 4*z + 4*x, 0 = -3*z + 2*x + 9. Solve 3*i + z*i = -48 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3670574, -7341146, -11011712, -14682272, -18352826?\n\"Answer: 3*z**2 - 3670581*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-7\/5)*a)\/(a**(-1\/4)\/a))\/(a\/(a\/a**(-28))*(a**28\/a)\/a) assuming a is positive.\nAnswer: a**(133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**18)\/r)\/r)**48\/(r**(-24)\/r**(-1\/5)))**41 assuming r is positive.\nAnswer: r**(172159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38383243?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 390 divided by -10\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2 + (-19)\/9). Let k(m) = 12 + 18*m + 1 - 16*m. Determine k(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1361\/6 - -226. Calculate the common denominator of 45\/2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 726*-0.1.\nAnswer: -72.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 131?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/3 + 76*y - 452\/3 = 0.\nAnswer: 2, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 3*u + 2. Let z be f(3). Let y = 164 + 543. Suppose 6*s - y = -113. What is the greatest common divisor of z and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530435988?\nAnswer: 2, 3, 953, 15461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3 - 1. Let z = y - 0. What is the highest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11722 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from oorn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**4 + 2*v - 4*v**3 - v + 2*v**3 - 5*v**4 as o*v + g*v**2 + s*v**4 + a*v**3 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.003579 to one decimal place.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/6)\/(-7))\/((-2)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**5 - 68*d**4 - 168*d**3 + 16*d**2 + 224*d = 0.\nAnswer: -14, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -16*y + 10*y. Suppose 0 = 5*s + y*l - 343, -2*s + 5*l + 13 = -130. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1052*x = 4*c - 1047*x - 18, 18 = -4*c + x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o - 19 = 5*n, 5*n + 22 = 4*o. Let i be n\/10 - (-1699)\/(-5). What is i rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/(-2)*(-10592)\/(-23832)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 5*n + 4. Let s be p(-5). Suppose -2*y + 60 = 3*y. Let d = -6 + y. Calculate the highest common divisor of d and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/71 and 59\/9?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122 + 143. Let s = l - 19. What is the remainder when 40 is divided by s\/4*104\/(10\/5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/3 - 472*t - 5632\/3 = 0. What is t?\nAnswer: -704, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 9*n - 9. Let a be l(7). Let v(z) = -2*z + 7. Calculate v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22111322010 (base 4) in base 7?\nAnswer: 32021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-5)*v*v\/(v*v*v**(-1)*v*v)*v*(v\/(v\/v**(2\/5)))**(25\/4))**(-6) assuming v is positive.\nAnswer: v**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 1\/60*x**5 + 0*x**2 + 0*x**3 + 2*x + 2 + 0*x**4. Let k(b) be the first derivative of p(b). Factor k(d).\nAnswer: d**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -0.1, 9, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1. Let p(n) = -6*n + 2. Let w(f) = p(f) + 2*q(f). Let l(m) = -m. Let h(g) = 3*l(g) + w(g). Let a(b) = -2*b**2. Calculate a(h(z)).\nAnswer: -98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 94?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (54\/135)\/(2\/25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 9:03 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + h - 63. Let a = 24 + h. Let i(u) = -u**3 - 4*u**2 - 5*u - 4. Let p be i(-3). Is p less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 7257\/278?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13186528 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 6*s**2 - 43*s + 108. Let r be u(10). Solve -45 = r*j - 63*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 10:13 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 8. Suppose 0 = 2*o + g - 2, -3*o - 2*g - g - 3 = y. Suppose 0 = -4*s + o*n + 16, -s + 3*s + 2 = -n. Sort 3, -1, s in increasing order.\nAnswer: -1, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.7999 + -0.7999. Which is the closest to -1\/4? (a) i (b) 0.3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21385 - -22148. What is the highest common divisor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 2, 14\/5, 3, 0.89?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4777 = 3*d, 5*c - 2*d - 23913 = -d. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-195)\/1742*(-144)\/1620.\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -3 - 102\/(8 - 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -1\/3 (b) 3 (c) 57 (d) 1\/19 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/1*4\/6. What is the second derivative of -1 - 2*m**3 + m**3 + n*m + 1 wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*36\/27*1161\/(-172).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide (-63 + 113)\/(-2 - (-34)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.716 - 0?\nAnswer: -15.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.017 - -0.047. Put 0, o, -3 in decreasing order.\nAnswer: o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**5*w*w**15*w)\/((w*w**(-4\/3))\/(w*w*w*w\/(w\/w**(3\/2)))) assuming w is positive.\nAnswer: w**(107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 0*k + 2 + 7\/2*k**2. Let a(u) = u**2 - 3*u + 1. Let d be a(2). Give h(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1764301 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-6)*d\/d**(-2)*d)**(-30) assuming d is positive.\nAnswer: d**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -94*f - 811. Does 6 divide x(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 8*k = -4*s + 22, -k + 7 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c1d1d - -e?\nAnswer: 3c1d2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9070 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13*y + 1. Determine x(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -3\/2*u**3 + 0 - 3\/4*u**4 - u**2 - 1\/20*u**5 - 5*u. Give z(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 1536201?\nAnswer: 16898211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2*-6 - sqrt(99) - ((sqrt(99) - (-3*sqrt(99)*-5 + sqrt(99))) + sqrt(99)))\/(-5*(-4*(sqrt(90) - sqrt(90)*-4))\/sqrt(10)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -607?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3 + (3 - 2 + 1)*(1 - 5 + 0))*(0*h + 0*h + 4*h - h + 0*h - h + (2 - 1 + 1)*(-4*h + 0*h + 3*h) - 2*h + 2 - 2 - 12*h - 9*h - h).\nAnswer: 144*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29600, -118359, -266282, -473363, -739596?\n\"Answer: n**3 - 29588*n**2 - 2*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**2 - 1401*j - 2814 = 0.\nAnswer: -2, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + -5 + 6\/1 + 0. Let n be y\/(-6)*(-48)\/84. Which is greater: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*v + 57, 6*z - 2*z - 2*v - 294 = 0. Let w(h) = -h**2 + 19. Let d be w(-5). Let q = 2 - d. Calculate the greatest common factor of q and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from euhppbp. What is prob of sequence puhp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -0.0257.\nAnswer: 6.9743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1444 - 40550?\nAnswer: -35102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/36*(49\/(-21))\/(38\/342)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/8627080 and -14\/23.\nAnswer: 198422840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (110 - 4\/(-4)) + 4. Let y(p) be the first derivative of -14 + 115*p**3 - s*p**3 - 3*p - 3*p**4. Differentiate y(h) with respect to h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38295685453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**3 - 6*x**2 + 21*x - 8. List the prime factors of h(11).\nAnswer: 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -45*p - 72. Let l be b(-2). Solve -v = -4*a - l, -3*a + 0*v = -2*v + 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12189368 divided by -26\nAnswer: -6094684\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2143*d**3 - d**2 - 8*d + 8. Let f be o(1). Suppose 0 = -3*x + 4*h + f, -4*x + 3104 = 4*h + 276. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*f + 12, 2*f + 0*f = 5*y - 2. Suppose -s + f + 13 = -n, -96 = -4*s - 3*n. What is the remainder when 82 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -8, c = -17*o + 16*o + 9. Let i(w) = -w**2 - 4*w + 2. Let r be i(-3). Suppose -4*u = o*t + 35 - 320, r*t = -2*u + 145. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10\/21, -1.45, -87\/4?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-1*1*sqrt(65))\/(sqrt(5) + 4*(sqrt(5) - sqrt(5)*-2) + sqrt(5)))**2 + (3 + 1 + sqrt(1300) + sqrt(1300))**2 + (-4 + sqrt(1300) + 0)**2).\nAnswer: 240*sqrt(13) + 3840855\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -3 - (-2 + -118). Let l = v + -61. Suppose -4*z + y = -24, -5*z + 0*z = 5*y - l. Solve -z = g - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f**2 - 2*f - 15. Is q(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 10*a**3 + 51*a**2 - a - 29. Determine p(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 292*n - 1787. Determine z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00352856831 rounded to 4 decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -33*n**2\/2 - 6*n - 1234. Calculate f(3).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 17*f - 15. Let a be p(16). Which is smaller: 1\/4 or a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 11:04 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1830, -3864, -6156, -8706, -11514?\nAnswer: -14580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33752253 + 47452253. Suppose -22*c + h = -23*c. What is c rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(396) + (sqrt(396) - (-2 + sqrt(396) + -1) - sqrt(396))**2)*-1 - ((1 + sqrt(396) + 5)**2 - (sqrt(396) - (1 + (sqrt(396)*-2)**2)))).\nAnswer: 216*sqrt(11) + 14532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1852 and 8128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 11\/1970 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3003 + 55 - 11*r**2 - 3058.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -999*i**2 - 201*i**4 + 999*i**2 + (3*i**4 - 4*i**4 + 2*i**4)*(-3 - 2 + 3).\nAnswer: -203*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*y - 72 - 224*y - 13383 + y**3.\nAnswer: y**3 - 13455","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.01, 59\/3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 44. Suppose -46 + 21 = -5*l. Suppose w - l*w = -60. What is the greatest common divisor of x and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 9. Sort 5, -1, w.\nAnswer: w, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 - 5*z**2 - 3*z + 15. Let x be r(6). Let j be 2 + (-60)\/27 + x\/27. Differentiate -7*k - 6*k + 8*k - 28*k + j with respect to k.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 2*l**2 + 6*l - 3. Suppose 2*r = -25*r - 108. What is h(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 22*u**2 - 9*u - 71. Is v(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**3 - 4*s**2 - 3*s - 1. Let z be a(-2). Calculate the greatest common factor of 319 and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -8. Suppose -84*a - s = -74*a. Sort a, -12, -3, 5.\nAnswer: -12, a, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40537.8296 - 40481. Let c = 0.0296 - f. Round c to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -514124 (base 7) in base 16?\nAnswer: -15743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258742694 to the nearest integer?\nAnswer: 16085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056 is divided by 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d - 5. Let q be u(5). Suppose q = 5*i, 7*i - 2*i = -4*w + 457. Suppose l - 5*l = -w. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/257 (b) -3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -58*p**2 - 1007*p + 15. Calculate t(-17).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**3*q**2*y**3 + 5*o**3*q - 6089*o**2*q**2*y**3 + 8*o**2*q**2*y**2 + o**2*q**2 + 23*q**2 + 2*q*y**2 wrt y?\nAnswer: 12*o**3*q**2 - 36534*o**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 10*y + 17. What is o(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 + 11*i + 3 - 2*i**2 + 2*i**2. Let b be h(-9). What is the remainder when (2\/6)\/(2\/b) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55.3 + 50.43. Let o = 0.13 - z. Let g = -2171.1 + 2171.3. Which is the biggest value? (a) o (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9908? (a) 1 (b) -4 (c) 30\/11 (d) 7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1107 * 1\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10610, 21200, 31790, 42380, 52970, 63560?\n\"Answer: 10590*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46 - ((-1 - -5) + -6). Calculate the common denominator of (-28)\/u + -1 - 0 and -115\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 340608997 to the power of 1\/2, to the nearest integer?\nAnswer: 18456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146 (base 8) to base 12.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b - 24 = 0. Let i be (0 - (-9)\/b)\/((-2)\/8). Sort -4, i, -2\/7.\nAnswer: -4, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3 - s**2 - 3*s + 3*s**3 + 7 - 2*s**3. Suppose -6*b + 45 = -b. Let j = b - 6. Determine w(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 7555692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 2153429359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -19*k**5\/4 + k**4\/6 + 37*k**2\/2 - 126*k. What is the third derivative of t(o) wrt o?\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4 = -3*r, 26*r - q + 4 = 27*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18179460 is divided by 1381?\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -1)*4\/9. Suppose -2*a = a - 12. Factor 1\/3*b**5 + 0 - 4\/3*b + 4\/3*b**a + b**3 - c*b**2.\nAnswer: b*(b - 1)*(b + 1)*(b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -6*o + o + 5*t, o - 3*t - 46 = 0. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46 and 77.\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + z**2 - z - 7. Calculate k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12867 + 13058. Solve -47*c - o + 3 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-19 - -8)) + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q + 84*q**2 - 10016*q**4 + 39*q + 10012*q**4 + 36*q**3.\nAnswer: -4*q*(q - 11)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.9? (a) -0.2 (b) 2 (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*m**2 + 16*m**2 - 98*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1820 and 9464?\nAnswer: 47320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1837, -3669, -5519, -7393, -9297?\n\"Answer: -m**3 - 3*m**2 - 1816*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2934204*y**4 + 21*y**2 - 2316*y - 3?\nAnswer: 70420896*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxxsqqqsxxqxqq. Give prob of sequence qs.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16 - (-22 + 2)\/5. Suppose 2*b = j + 3*j + 18, -h = 5*j. Calculate the highest common factor of 9 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*s + s + 0*s)*(-1 + 1 - s**2) + 1 - 1 - 2*s**3 + 2*s**3 - 28 + 28)*(-2*s + 2*s - 2*s).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139 + w - 34*w**3 + w + 13*w**3 + 16*w**3 to z*w**3 + l*w**2 + f*w + j and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.251281 litres to millilitres.\nAnswer: 1251.281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q + 0*q + 0*q)*(q + q - q).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 10*h - 18. Let n(o) = -7*o**3 - 5*o**2 - o + 4. Calculate the lowest common multiple of t(-4) and n(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1274) + (sqrt(1274) - sqrt(1274)*2)*-1 + sqrt(1274))\/((sqrt(24)*2)\/sqrt(12)*6).\nAnswer: -2 + 7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 4*o - 5*w - 383, -3*w = 5*o - 668. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -3 (c) -3\/11 (d) 4 (e) 520\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 291 and 102?\nAnswer: 9894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -274880, -554010, -833140, -1112270, -1391400, -1670530?\n\"Answer: -279130*b + 4250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 14 + 119*d - 6.\nAnswer: 119*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24418834 divided by 40766?\nAnswer: -599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(32\/56 - (-619)\/(-1071)) is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, -1, 77, 21, 5, 3.\nAnswer: -206, -1, 3, 5, 21, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(1060\/210 - 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80144320577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*t + 1440 = 0. Let p be (1 + (t - -4))*1. Let z = p - 5477\/15. Which is the nearest to -3? (a) 4 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + y - 3 = 0, -t - 4*y + 12 = 2*t. Suppose 0*b = -3*b + s + 532, t = 2*b - 5*s - 372. Suppose 5*d - 139 = b. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 + 459*c**2 + 4599*c + 19. What is q(-219)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + f = 138, -2*t + 0*f + f = -87. Suppose -b = -4*s + t + 115, 0 = b - 4. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535856035.\nAnswer: 5, 11, 13, 749449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -408, -917, -1630, -2547, -3668, -4993?\nAnswer: -6522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.7 + 44.7. Suppose -14 + 8 = 3*m. What is the closest to 2\/3 in m, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 10*m**2 - 10*m - 6. Let s be r(-9). Suppose 2*z + 4*x - 4 - 2 = 0, -23 = -s*z + x. Solve k + z = 3*a, -3*k = k + 2*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-7))\/(102\/714)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 4*b + 97. What are the prime factors of p(0)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 + (-745)\/150 + (-128)\/(-160)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2386*f + 423204 = 2392*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykakkykzcyyyca. Give prob of sequence kcy.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9834384 minutes?\nAnswer: 59.006304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 12*l**2 - 8*l - 14. Is j(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 3*i + 4. Let r be a(3). Suppose 3*c - l + 24 = -4*l, -2*c + l = 31. Let b = 29 + c. Solve b = 4*k + r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2 + f**3 + 2 - 1 + 2*f + 8 - 6. Suppose 3*w - 4 - 8 = 0. Give n(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 507 = s, 3*s - 2*s = 0. Let g be 26\/b - (-41)\/13. Suppose 5*u = a - 98, 8*u - 3*u + g*a = -86. Is -20 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 59 = 75 + 140 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeew. What is prob of picking 1 w and 1 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 51518?\nAnswer: 51518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1294*x + 2203. What is the units digit of r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5650*s - 4*t - 42 = 5660*s, s + 6 = -t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/11 + (-14)\/(-168)*-6 + 452\/5896.\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 13*w + 24. Let y be r(4). Solve 0 = 3*z - 2*z - y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10167 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - n**2 - 6*n + 7. Let d be c(3). Suppose 5*z = d*z - 206. Let b = -28 + 49. What is the remainder when z is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*4\/10 + 14740\/31350. What is the smallest value in 0.4, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2. Let y(r) = -4. Let j(m) = -3. Let n(i) = 2*j(i) - 2*y(i). Let q(d) = d + 10. Let b(w) = -15*n(w) + 3*q(w). Calculate v(b(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 68?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471436979?\nAnswer: 13, 17, 449, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000839220318 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-18 - -5) - 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 3*l**2 - 2*l + 4. Let c(d) = 10*d**3 - 16*d**2 - 11*d + 21. Calculate -2*c(s) + 11*z(s).\nAnswer: 2*s**3 - s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 18*z - 225. Let o(u) = -u**3 + 27*u**2 + 17*u + 25. Let h(c) = c**3 - 26*c**2 - 18*c - 26. Let d(j) = 3*h(j) + 2*o(j). Is d(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -609220750 by 950.\nAnswer: -641285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -6 (b) -1\/7 (c) -5 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8444.877 grams in micrograms?\nAnswer: 8444877000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-18)))\/(x**(-1\/19)\/x)*(x\/(x\/x**7*x*x))**(-9\/11) assuming x is positive.\nAnswer: x**(3127\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 + 132 - 372*j - 402*j.\nAnswer: -774*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12246, -47440, -106096, -188214, -293794, -422836?\n\"Answer: -11731*t**2 - t - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - -91. Calculate the remainder when f is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 68 = 6*m - 2*m, 0 = 4*m - 4. Suppose -z*v + 16 = -104. Let c(p) = -p**3 + 6*p**2 - 5*p - 7. What is c(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888798568?\nAnswer: 2, 7, 19, 23, 36319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8672, -17335, -25998, -34661, -43324, -51987?\n\"Answer: -8663*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4480 at least as big as -4475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*d - 134*d + 1 - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 19483 - 7528 = -5*g, -y + 3*g + 2401 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 4 - (-335 + 330)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.87314 litres to millilitres.\nAnswer: 90873.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h = 30 + 33 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*q + 726 = 0, 3*b - 2*q - 734 = b. Suppose -1742 = -3*a + o, -2*a + o + 796 = -b. Suppose 0 = -3*d + 10*d - a. List the prime factors of d.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577, -731, -933, -1207, -1577, -2067?\nAnswer: -2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + (14 - 29 - -18) + -2 + 8 + 1?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*b + 11, 2*b + 1 = -x - b. Let k(i) = -i**3 - 24*i**2 + 2*i - 2. Let a(u) = 13*u**2 - u. Let j(t) = -2*a(t) - k(t). What is j(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1296 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51203?\nAnswer: 51203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6979990 is divided by 4298?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 120 = 16*m. What is the remainder when 91 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 15*l - 14. Let n be s(6). Let b(p) = 1 + 57*p**2 - 2*p + p**3 - 31*p**2 - 31*p**2. Determine b(n).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -50*v - 121 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1384 and 15570?\nAnswer: 62280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkkzzkzkzkzkkkkzzzk. What is prob of sequence kz?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4671 (base 15) in base 13?\nAnswer: -6a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-48)*z*z*z\/(z\/(z*(z*z\/z**(-3\/11)*z)\/z)) assuming z is positive.\nAnswer: z**(-470\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*n - 63*n - 53*n - 1 + 186*n.\nAnswer: 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 157, 322, 597, 982, 1477, 2082?\n\"Answer: 55*u**2 + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**3 + 3*c**2 + 3*c. Let a = -62 + 60. Let i be q(a). Let w = 320\/7 - i. Which is bigger: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*p + 62*p - 104*p - 1.\nAnswer: -389*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from aaaiamiswss?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40.6? (a) 0.5609 (b) -5 (c) 1 (d) -0.1 (e) 1\/4 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 982556*x - 782887 wrt x?\nAnswer: 982556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14025271 is divided by 64.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8283302 and 84971.\nAnswer: 2741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 2*s - 115.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006207661266 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125584, -251178, -376776, -502378?\nAnswer: -627984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**2 - 3. Let d(m) = -2*m - 1. Let o(q) = -9*q - 4. Let g(v) = 4*d(v) - o(v). Calculate g(y(r)).\nAnswer: -4*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.151, -1977 in descending order.\nAnswer: 0.151, -1\/3, -1977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-101500.\nAnswer: 203000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 496 and 651.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(374)\/(sqrt(99) + sqrt(11)) - sqrt(34))\/(sqrt(216)\/sqrt(12)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.3286 to one decimal place.\nAnswer: -50.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Let f = -209\/3 + 70. Which is the nearest to -0.1? (a) 3 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2764, -2776, -2790, -2806?\n\"Answer: -u**2 - 9*u - 2754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164195 = -5*h + 7*n - 2*n, 0 = 2*h + n - 65690. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26387*m + 46940?\nAnswer: -26387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -254*p**2. Let q(j) be the third derivative of 7*j**5\/60 - 132*j**2. Calculate a(q(s)).\nAnswer: -12446*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**3 + 20*u**2 - 17*u - 100. Give w(-5).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 2. Suppose 6*c + 58 = -8. Let n = -8 - c. Let j be f(n). Solve d = t - 4, d + 4*t + j = t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 534296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27463 and 4031?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -19.6. Let y = -1.7 + l. Which is the closest to y? (a) -3 (b) -2\/13 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-4))\/(6\/40). Let c(t) = t**3 + 5*t**2. What is the smallest common multiple of (w - 0) + 6\/3 and c(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/5 + 7\/(-35). Let h(k) = 2*k - 1. Let u be h(2). Let l = u - q. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**2 + 3164 + 5*k - 2*k**3 - 16*k**2 - 4*k - 17*k**2 wrt k.\nAnswer: -6*k**2 - 62*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: What is 119*(-210)\/(-1124550)*(-3)\/(-1)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.7 + 798.28072\nAnswer: 800.98072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 457*h*o**3 + h*o**2 - 14*h - 85 wrt o.\nAnswer: 1371*h*o**2 + 2*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 8. Suppose 0*b + b = 0. Suppose b*f - m = 5*f - 131, 4*f - m - 112 = 0. Calculate the highest common divisor of q and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -148.48 - 0.52. Let w = o - -148.9887. What is w rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63661694.\nAnswer: 2, 73, 271, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-95)\/(-3))\/((-12990)\/(-46764)).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283811?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, n: 6, w: 4, g: 1}. Give prob of sequence jn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (12 - -3))*(-97)\/(-1). Let t be (j\/4 + -1)\/(33\/(-132)). Suppose -6*w - 3155 = -5*g - 2*w, t = 2*g - w. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1166 is divided by 381?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -12, 6.6, -2\/5, 1\/11 in ascending order.\nAnswer: -12, -2\/5, -1\/6, 1\/11, 6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 8*f**2 + 27*f**2 + 7*f**2 + 62*f**2 + f.\nAnswer: 88*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 13. Solve -1 + 3*v**2 - v**2 - 6*v - 6 - u = 0 for v.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85463100 to the nearest one million.\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102564?\nAnswer: 2, 3, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ec6 - -388?\nAnswer: 424e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/1427 + 21444\/18551. Calculate the common denominator of -17\/65 and k.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 137\/2 in -0.3, -2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.7943 rounded to one decimal place?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - j + 82 = -335, -4*q + 4*j + 556 = 0. Suppose -5*t - 5*f + q = -506, -3*t + 352 = -4*f. Let i = 127 - t. Solve 0 = -s - i - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251747533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 50*c**2 + 399*c - 186. What is z(57)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 6482.\nAnswer: 25928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uau when three letters picked without replacement from sksuvusvsvvuassvrus.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p + 93 = 0. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 1, m: 1, o: 1, e: 2, b: 1}. Give prob of picking 1 m and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (((-1955)\/(-51))\/(-23) - 51\/9)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 177*u**3 - 5*u**2 + 2*u - 4. Suppose -5*g = 3*g - 88. Let m be w(g). What is m rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3553965 and 540.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2. Let r(f) = f**2 + f + 1. Let p(c) = -24*c**2 - 4*c - 4. Let x(v) = -p(v) - 4*r(v). Give n(x(i)).\nAnswer: -800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 29*s - 27025, 5*s = 9*i - 10*i + 26953. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 27, 7, -8, 27\/2, -0.3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202013 is divided by 856?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111001010000 (base 2) in base 11?\nAnswer: 1a243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 239*g - 15514. Give q(65).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n - 5*i = -23*n + 51*n - 95, 4*i = 235*n + 1259 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-14)\/(-57*56))\/((-36)\/592) and -37\/1710?\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 p when three letters picked without replacement from kppxxfkxpkxkxx?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 10*t - 9. Let y be q(-8). Let n = -7 + y. Suppose 4*h = -3*i + 32, n*i - 2*h - 10 = -5*i. Calculate the lowest common multiple of 10 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*i + 30846, 0 = 2*o - 0*o - 8. Let u = -2785 + i. Let n = u - -26105. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-10)\/12)*-1. Let a(u) = u + 3*u - r*u. Let l(k) be the first derivative of -2*k**3 + 17. What is l(a(d))?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-5)\/(-90)*1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1809\/7 + -258. Which is the second biggest value? (a) 5 (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -406*a + 127. Let c(j) = -405*j + 126. Let p(r) = -6*c(r) + 5*i(r). What is the first derivative of p(t) wrt t?\nAnswer: 400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 0.8. Let b = -3127.2004 - -3126. Let g = m - b. Round g to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 < 587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 257033380991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times -10276.1?\nAnswer: 236350.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**19\/((s\/s**(-2\/31))\/s) assuming s is positive.\nAnswer: s**(587\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjsq when four letters picked without replacement from qaanjajnsn?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3211 minus 0.475?\nAnswer: -0.1539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7472 (base 8) to base 5\nAnswer: 111043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 2*w - 3*h - 19, w + 27 - 14 - 22 = 5*h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121002202 + -120122?\nAnswer: -121200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*z, l + 1 = 5*z - 6*z. What is the nearest to -3\/2 in l, -1, 6\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263436 = 779*m + 2249*m for m.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.329874 and -0.3?\nAnswer: -1.2989622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(162) - (sqrt(162) + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/(6\/64*2\/6). Let b = -6403\/9 - l. Find the common denominator of -87\/10 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12923, -25801, -38657, -51485, -64279?\n\"Answer: o**3 + 5*o**2 - 12900*o - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 5*u + 3*u)*(-583*u**2 + 1124*u**2 - 6 - 581*u**2) - 6*u - 9*u**3 + 6*u.\nAnswer: -249*u**3 - 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 4:04 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - 21*o - 234. Calculate h(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**4\/4 - 3*q**3 - 9*q**2\/2 - 12*q - 2. Let d be j(-8). What are the prime factors of d\/6 - (-87)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 1987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 32*j + 36*j - 49 = 0, 4*w + 22*j = 222 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**5 - 1038*q**4 + 14*q**2 - 10*q wrt q?\nAnswer: -120*q**2 - 24912*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 8, 1\/2, 5539, -2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1343\/23351 - 6\/1229. Which is smaller: -5.4 or w?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 129475, 129478, 129481?\n\"Answer: 3*s + 129472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + (sqrt(192) - -1*sqrt(192)*-2) + sqrt(192) - sqrt(192))*1)\/(sqrt(12)\/(sqrt(2) + (sqrt(2) - (sqrt(12)*1)\/sqrt(6)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.034925 bigger than 1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aacca. Give prob of picking 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 341621 - 341418. What is the lowest common multiple of m and (-11 - -2)*28\/(-6)?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63388, 126773, 190156, 253537, 316916, 380293?\n\"Answer: -z**2 + 63388*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/150912 and 89\/138?\nAnswer: 3470976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 22*b**2 - 24*b - 35. Let l be a(-21). Find the third derivative of -l*h**2 - 47*h**3 + 81*h**2 - 41*h**3 wrt h.\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 151*t**4 + 25*t**3 - 405*t**4 + 171*t**4 + 139*t**4 to the form g + l*t + u*t**4 + n*t**2 + m*t**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5676817366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*r + t + 14, -2*t - 13 = -3*r. Let p = r - 1. Suppose b = 2*i + p*i + 29, 2*b + i = 76. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c - -8c8?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = 4*j. What is n in 0 + 0*n**2 + 0*n**3 + 3\/5*n**5 + 3\/5*n**4 + j*n = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12760688879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343663332?\nAnswer: 2, 3, 23, 163, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**4 + h**4 + 4*h**4)*(-2 + 2*h + 2) + 2*h**5 - 5*h**5 + 2*h**5 + (37*h + 52*h - 28*h)*(6*h**3 - 6*h**3 + 2*h**4).\nAnswer: 125*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2063 + 2064 = 0. What is the nearest to l in 0, 0.05, 3, -5\/4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*x + 2)*(-2267*x + 189*x + 4466*x).\nAnswer: -4776*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4919379584236 and 0.\nAnswer: 4919379584236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98008*h**3*o**3 - 55*h**3*o**2 + h**3*o - 156*h*o - o**2 wrt o?\nAnswer: -588048*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -1 - (0 - -9). What is the units digit of 21\/(-14)*w\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -231 - -231.93. Let p = 0.47 + k. Is p >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -285*k + 2565. What is l(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2596*a*o**2*z + 13*a*o*z - a*o + 6*a*z - 2*o*z - 2*z wrt o?\nAnswer: 5192*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d + 0 = -3 + 45, 2 = -4*u - 0*d - 3*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 22. Solve r + z - 7 = 0, 2*r - 2*z - 3 - 3 = q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m**3 - 4*m**3 + 4*m**3 - m**3 + 4*m**3 - m**3 + (-3*m**3 + 0*m**3 + m**3)*(-1 + 1 - 2) - 2*m**3 - m**3 + m**3.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 16*g + 10*g + 10*g - 47*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 r when three letters picked without replacement from rrrsrsksrsrk?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40295243 to the power of 1\/2, to the nearest integer?\nAnswer: 6348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 28379.\nAnswer: 56758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26703 or -26697?\nAnswer: -26703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 9. Let q be y(-7). Let x be (q - 1)\/((-2)\/(-10)). Suppose 3*r + 11 = 6*r + i, 3*r - 3*i = 3. Solve -5*n - 10 = -4*l - r, -5*l = x*n + 25 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -416, 1, 0.4, 2\/3, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4069148631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318172543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1231 to the nearest 10.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 0*k + k)*(-2*k**2 - 2 + 2) + 4 - 143*k**3 - 2 + 137*k**3.\nAnswer: -2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 222*l + 2448. Determine a(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -36342270 rounded to the nearest ten thousand?\nAnswer: -36340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -6) + (-48 - -32) + 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**3 - 1395*s**2 + 3*s + 108007.\nAnswer: 3*s**2 - 2790*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (0 + 77 - (-15 + 17) - -16)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 8*m + 4. Let a be d(-8). Suppose 2*y - y + a*p = -10, 3 = -p. Solve -y*n - 2*z + 8 = 0, 0*n = -2*n - 3*z + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 - 32. Let p be ((-68)\/g)\/(1 + (-7)\/5). Let y(i) = -9*i**2 - 2*i**p - 90 + 90. Let x(s) = -4*s**2. Calculate y(x(c)).\nAnswer: -176*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2013 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51794?\nAnswer: 2, 19, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 174454 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*p + 3*v - 12, -p - 3*v = 14. Let d be 1\/(1\/p*-11). Factor -d + 0*u + 2\/11*u**2.\nAnswer: 2*(u - 1)*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -16. What is the units digit of 172\/(-8)*(-1 + y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 74 = -5*r + 3*r, -5*r + 171 = t. Find the first derivative of r*c**3 - 42 + 36*c**3 - 4 + 21 wrt c.\nAnswer: 213*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -153, -175, -199, -225, -253, -283?\n\"Answer: -i**2 - 19*i - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99667 by -5.\nAnswer: -99667\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c. Let i(p) = -5*p**3 + p**2 + 3*p + 2. Let b be i(-1). Let t(x) = b*x - 4*x - x + 4*x. Give t(g(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 p when three letters picked without replacement from upupuhphpuhp.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163663, -163615, -163567, -163519, -163471, -163423?\nAnswer: -163375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = 102 - 2286. Suppose c + 5*n - 76 = 0, 0 = -0*c - 4*c - 5*n + p. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + 0. Let t(s) = s**2 - 13*s. Let z be t(n). Calculate the smallest common multiple of 12 and (-2)\/(z - -2)*-6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + f + 24410*f**2 - 24408*f**2 + 139 to the form s + u*f**2 + t*f and give s.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1524 is divided by 137?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -510 by 34.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*r + 2 = 11, 0 = -3*r + 9. Let d be -1*w\/3 - -302. Suppose -d = -4*s - 3*o, -s + 296 = 3*s + 4*o. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 660 - 10565\/16. Which is the closest to 2\/7? (a) 2 (b) 0.5 (c) 3\/4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1121104 - 2?\nAnswer: -1121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54\/(-45)*-39*10\/9. Suppose -4*o + 4*t = -0*t - g, o + t = 3. Suppose o = 3*i + i. Solve 2*a + i*j = -j + 2, 3*a - 3*j = 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14542, -29088, -43634, -58180?\nAnswer: -72726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Calculate the lowest common multiple of (-21)\/(-2)*(-4)\/(-3) and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -9*d + 189. Let u be s(14). Suppose -20*m - u = -27*m. Let y(a) = 4*a - 7. Let b(h) = -5*h + 8. Let l(t) = 3*b(t) + 4*y(t). What is l(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 25359039\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from luluuulullululululuu.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ba5 + -6?\nAnswer: -2bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 839.1 - 841.1. Which is the nearest to -0.1? (a) 328 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 1641640101?\nAnswer: -1641640102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*a - 5*v - 21 = 0, 2*v = -3*a + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, s: 3, r: 15}. What is prob of picking 1 f and 1 s?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3 - 33*z**2 - 408*z - 912 = 0. Calculate z.\nAnswer: -4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 631466 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 21, 2.12 in ascending order.\nAnswer: 2, 2.12, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1134678 divided by 562\nAnswer: 2019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1177 + -2353\/2. Determine v, given that g - 3\/4*v + 1\/4*v**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p = -95*p + 2280. Calculate the lowest common multiple of p and (-1 - (3 + -2)) + 14.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12274, -24561, -36858, -49171, -61506, -73869, -86266?\nAnswer: -98703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*c = 90, -2*k + 2*c = 12 - 32. What is the remainder when 27 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-268)\/(-1675)*(-40)\/(-16)*(-65)\/7.\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(52) + sqrt(52) + sqrt(104)\/sqrt(2))**2.\nAnswer: 72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {i: 2, z: 5, p: 9}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3646325 and 1570?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 1\/90*z**5 + 0 + 0*z**3 + 0*z + 5*z**2 - 1\/360*z**6 + 0*z**4. Factor o(a).\nAnswer: -a**2*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 + 78*m**3 + 576*m**2 + 864*m.\nAnswer: 3*m*(m + 2)*(m + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 77 (b) 1\/2 (c) 0.4 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 565 + -c?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.36 times 0.04?\nAnswer: -0.6944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -10, 9, 34, 65?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + 43 + -45 + -108.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53074020 and 73836.\nAnswer: 1114554420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8811 or 14964?\nAnswer: -8811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4365 + -4320. What is the closest to -2 in s, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634016 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2373479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 5*g + 0*g**2 + 5*g - 2*g**2. Let x(w) = -3*w**2 - 2*w + 1. Let v(i) = 3*x(i) - 5*y(i). Factor v(c).\nAnswer: (c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 18. Let b = -18 + 13. Let t be z\/9 + b\/3. Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.06 + 0.06. Let x = 580 - 580.4. What is the nearest to 10\/7 in x, r, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -38.28. Let i = -7.28 - l. Let r = i - -6.3. Which is smaller: -0.2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 524 = 20406. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 4*n - 3. Let y(j) = j**3 - 6*j**2 - j. Let d be y(6). What is the units digit of v(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.7 - 28. Round y to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 608*t + 133. Let m(i) = 23*i + 5. Let k(f) = -5*l(f) + 133*m(f). Let s(c) = c. What is k(s(v))?\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - o + 4, -5*p = o - 397 + 390 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30a2436 + 2?\nAnswer: 30a2438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -389.996 - -340. Let f = -50 - r. Round f to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 * -383.45\nAnswer: 24924.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 1:58 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssjs when four letters picked without replacement from {j: 7, s: 4}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 943.2842 nanometers?\nAnswer: 0.00009432842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33903 - 15093. Let l = 225853\/12 - x. What is the common denominator of -44\/3 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 0*h + 2173*h**3 + 1026*h**3.\nAnswer: 3199*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1705 + -4?\nAnswer: -1711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4407 divided by -339\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, w: 1, o: 10}. What is prob of sequence wjj?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 3*g + 0*g)*((-4*g**2 - g**2 + 9*g**2)*(4*g - 4*g - g) - g**2 - 415*g + 65*g**3 + 415*g).\nAnswer: 61*g**4 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1926.0004846 + -1926. What is l rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000246652 to six dps.\nAnswer: -0.000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 53\/30*i**5 - 17\/30*i**6 + 0 + 0*i**4 + 0*i - 175*i**2 + 0*i**3. What is the third derivative of k(f) wrt f?\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -18 - (2 + 4 + -12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -28513708 and -28513711 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660 + 1228 = 257*x - 3030 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 5:25 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 18*h**2 + 2*h - 33. Suppose -2*b + 3*d = -1, 7 + 7 = 5*b + 4*d. Calculate the remainder when m(18) is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*h**2 - 3 - 1 - 1081*h + 1081*h in the form b*h + l + c*h**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12b06 (base 14) to base 10\nAnswer: -46066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 11:59 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6921447 and 260.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 8*w - 97. Let c(u) = u**2 - u - 15. Calculate -2*c(j) + f(j).\nAnswer: -j**2 + 10*j - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 769, 1069, 1371, 1675, 1981, 2289?\nAnswer: 2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/12 in -3\/5, 0.036, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3\/4, -0.406, 1\/11, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2674*y**6 - 9*y**2 - 888*y.\nAnswer: -320880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + a**2 - a + 1. Let w be 2073\/12 + ((-18)\/8)\/3. Let q = 166 - w. Let m(u) = -5*u**3 - 3*u**2 + 6*u - 6. Give q*p(t) - m(t).\nAnswer: -t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2927 - 1.5.\nAnswer: 2925.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bogm when four letters picked without replacement from ngqnngmnobnnongqn.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 7:01 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(14\/(-2856)*9). What is the highest common factor of 2074 and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40426955 to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -41*k + 19*k - 1 + 21*k - k**2. Let f(q) = 2*q**2 + 6*q + 6. Let h be 8 - 8 - (-1)\/1. Give h*f(y) + 6*b(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**3 - 5*i**2 + 6*i - 3. Suppose 0 = m - 8 + 6. Let k be x(m). Suppose -137 + k = 2*f. Sort 3, f, -5, -2 in increasing order.\nAnswer: f, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3561, -3562, -3563, -3564?\nAnswer: -3565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7285658 and -0.4.\nAnswer: -2914263.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63858 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: Calculate the common denominator of -71\/273 and -89\/78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 5*h + 48 = 0, 0 = 3*z + 5*h + 20471 - 20512 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - 36. Let i be 151\/2 + (-4)\/8. Let y = d + i. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 32. Let y = -7 + j. What is the third derivative of -f**2 + 2*f**2 + 0*f**2 - y*f**2 - 2*f**6 wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -1ec?\nAnswer: -1ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -697 in -0.2, 23, 1\/6, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3\/p)**(-11\/3)\/(p**(3\/10)*p*p*p\/p**(-2\/3)) assuming p is positive.\nAnswer: p**(-113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -8. Suppose 4*w = 5*z - 44, 4*z - n*w - 44 + 4 = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*h + 646 = 61. Solve -5*f - h = -8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 3*a + 1. Suppose 5*z = z - 8. Let j be m(z). Solve 5*x - 2*x + 3*k = j, x + 24 = 4*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1.6. Let n = -118\/3 + 40. Which is the nearest to n? (a) 3\/4 (b) v (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -1\/5*t**3 - 1\/35*t**7 + 9\/50*t**5 - 46*t + 1\/50*t**6 + 0*t**2 + 1\/20*t**4 + 0. Suppose i(y) = 0. What is y?\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011100110101 + -1111011?\nAnswer: -11011110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 15667830.\nAnswer: 31335660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52716 and 38481.\nAnswer: 676188132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 times 31?\nAnswer: -1984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 753813182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 14, w: 1, t: 5}?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*w - 409, 0 = 4*w - 4*a - a - 399. Let b = w - 101. Suppose 0*o + p + 12249 = -b*o, -3*p + 2453 = -o. Round o to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 321480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*s + 2*s. Suppose -f - p = 4, -4*p + 12 - s = -f. Which is the third biggest value? (a) -1\/2 (b) f (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0.1, -0.015 in ascending order.\nAnswer: -0.015, 0.1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3\/7, -7, 492862 in ascending order.\nAnswer: -7, 0, 3\/7, 492862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 15) in base 2?\nAnswer: -110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/12)\/(2\/(-6)). Let t be (-4 - 324)\/2 - g. Let v = 243 + t. Does 31 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 17*y**2 + 3*y + 88. Let u(s) = -14*s**2 - 2*s - 86. What is -4*l(i) - 5*u(i)?\nAnswer: 2*i**2 - 2*i + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - 0. Let d = 0.1531 - 0.8131. Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*a + 357 = 5*v, -1764*a + 1760*a + 5*v = -3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k - 185 + 185.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n - 5*n + 4*n)*(71*n**4 + 82*n**4 - 173*n**4).\nAnswer: 140*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(0 + 6) + (0 - 1). Let m(q) be the second derivative of 3*q + 0*q**4 + h*q**2 - 1\/90*q**5 + 0*q**3 - 1\/45*q**6 - 2\/189*q**7 + 0. Factor m(p).\nAnswer: -2*p**3*(p + 1)*(2*p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 862176786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-3 - (-7 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16 and 792192.\nAnswer: 792208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2718 - 178 + 49 + 1821 = -42*u for u.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1174.9766 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**3\/3 + t**2 + 5*t. Let j be f(3). Let n be (j\/(-3))\/(6\/9). Put 0, 1, n in ascending order.\nAnswer: 0, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 4\/3*f**3 + 0 + 0*f**2 + 2*f. Let u be y(1). Solve 4*t = -u*d + 3*d + 10, -8 = -4*t - 4*d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 1:58 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.6 - 20. Let o = -2 - h. Let k = 8 + -9. What is the smallest value in k, 2\/3, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3353, 25323, 84721, 200261, 390657, 674623?\nAnswer: 1070873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/45)\/(4\/3*52\/24).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 4*w**2 + w - 4. Let v(t) = t**3 + 3*t**2 + t - 3. Let q(m) = 3*i(m) - 4*v(m). Let o be -1*36\/63*14\/4. Determine q(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, y: 5, t: 1}. What is prob of sequence nn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4128*t + 150041 - 558713 = 0 for t.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, 249.222, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 165 + -97. Let h be 3\/39 - 5340\/130. Let k = q + h. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 190*d + 2333. Give p(-7).\nAnswer: 1003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 56 = -0*w. Let t be w\/9 - -1*1. Suppose j + 11 = -5*n, -2729*n + 2732*n = 2*j - 17. Sort t, -0.2, n in ascending order.\nAnswer: n, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-170)\/25)\/(2\/(-10)). Suppose 2*m + g = 4*z, 0 = -2*z - z - 3*m + 48. Calculate the remainder when z is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -11 - -1) + (-4 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 3 + 0*d**3 + 2*d**3 + d - 7*d**2. Let g(a) = -a**3 + 4*a**2 - 2*a - 2. Let y be 4\/2*(1 - -5). Suppose 4*o + y = o. Determine o*l(b) - 7*g(b).\nAnswer: -b**3 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/10 + 67*f**2\/10 + 131*f\/10 + 13\/2.\nAnswer: (f + 1)**2*(f + 65)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/6)\/(2\/3). Suppose -9 = -o - j*o - 3*c, 4*o - 10 = -2*c. Suppose 0 = -4*d, 2*g - 6 = -d + o. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 35789, -5, -1\/4, 0.5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(2*l**3 - 5*l**3 + 5*l**3 + (-3*l**2 - 2*l**2 + 4*l**2)*(-l + 3*l - l))*((-3*l + l + 3*l)*(-2*l + 6*l - l) + 3*l + 2*l**2 - 3*l).\nAnswer: -10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 - 2246\/(-6). Suppose -3*o - 4*l = -a - 420, o = 2*l + 265. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(90)\/sqrt(108) + (sqrt(30) - (sqrt(30) - (sqrt(30) + sqrt(30)*-3 + sqrt(30)))*4))\/(-1*(sqrt(1000) + sqrt(1000)*-2)*-4).\nAnswer: 7*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j - 4 = 0. Suppose -j*v + 16 = -16. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 15\/2, -0.087, -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 6*q**2 + 0*q**4 + 0*q + 0*q**3 + 7\/20*q**5 + 0. Let t(y) = 446*y + 3*y**2 - 886*y + 440*y. Determine d(t(l)).\nAnswer: 189*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*n = -420, -3*z + 160 + 155 = 4*n. Suppose z = 5*s - 4*s. Let a = s + -36. Calculate the greatest common divisor of a and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {r: 1, e: 5, p: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4*(-1 + -3). Suppose 0 = 2*t + 2*t - 8. Suppose -1 - t = -n. Solve n = -4*j - p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**6 - 15349*s**3 - 592261*s**2?\nAnswer: -120*s**3 - 92094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79\/268 + -3\/67. Let l(i) be the second derivative of 0 + 1\/40*i**6 + y*i**3 - 3\/8*i**2 + 0*i**4 + 4*i - 3\/40*i**5. Factor l(w).\nAnswer: 3*(w - 1)**3*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23420430 + -10?\nAnswer: 23420420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 3:49 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189252585?\nAnswer: 3, 5, 17, 82463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - (-1 + -2)) + 5. Suppose -4*c + c + r = -18, -2*c + r + 12 = 0. Is 35 + (c\/j)\/2 + -1 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -38.79.\nAnswer: 426.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 119549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 194*x**2 - 13758*x - 826. Give c(71).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**5 - 30*v**4 + 60*v**3 - 50*v**2 + 15*v = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -12597*g**2 - 8*g - 4. Let m(v) = 198100426*v**2 + 125810*v + 62905. What is 8*m(l) + 125810*s(l)?\nAnswer: -25162*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 7:46 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 4. Let q(f) = -7*f - 4. Let k be q(-2). Let o be s(k). Suppose 3*n - o = -1. Solve 0 = 5*p - 5*a + 10, 3*p - 3*a + n = -a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -744, -2, -0.2, 1 in descending order.\nAnswer: 1, -0.2, -2, -744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuu when three letters picked without replacement from iiuiiiiiiiui?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 519 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 18271 = 11*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2.1. Let h = -0.3 - z. Let p = 511\/20 - 129\/5. What is the closest to 2 in h, p, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i**2. Let p(c) be the second derivative of 0*c**3 - 1 - 2\/3*c**4 - 46*c + 0*c**2. Give p(d(a)).\nAnswer: -800*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 56 + 11 = 0. Solve -6 - 3 = g*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22965647 from 2698.\nAnswer: -22962949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -p - 3. Is 5 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = t + 1071, 0 = -5*a + 4*t - 0*t - 1802. Let r be 6\/2 + ((-1602)\/3)\/3. Let o = r - a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3622 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}