diff --git "a/data/dm_maths/full_data/2006_11255.jsonl" "b/data/dm_maths/full_data/2006_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2006_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What comes next: -1949, -3900, -5851, -7802, -9753?\nAnswer: -11704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28229 is divided by 1122?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) + (-5 - 60\/(-8)). Differentiate -31 - 2 - 54*o**q - 4*o**3 + 54*o**2 with respect to o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 - 69*k - 2*k**2 + 69*k)*(-5*k**2 - 258 + 258).\nAnswer: 15*k**5 + 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*o**3 - 195*o**3 + 68*o**3 + 59*o**3 - 727*o + 727*o.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 1822.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/7)\/(z\/z**(-7))*z**0*z*z**(-1\/4))\/((z*z**(2\/7))**(-3\/14)\/(((z*((z*z**(2\/19))\/z)\/z)\/z*z*z)\/z**(5\/2))) assuming z is positive.\nAnswer: z**(-31699\/3724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 - 8*m**2 - 7*m + 10. Give y(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 411 and 160701.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -16*i**3 + i**2 + 2*i + 1. Let d be n(-1). Calculate the greatest common divisor of 168 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947790 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 475.2536 nanometers?\nAnswer: 0.0004752536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 38. Let n(w) = -2*w + 5. What is m(n(v))?\nAnswer: 6*v - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 5. Let j be 4*(-2 + z + 6). Let a(s) = 5*s - 5. Let u be a(5). What is the highest common divisor of j and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3809 = 5*a - 3819 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 3*f - 132. Let c = f - -35. Solve 0 = s - 3*t + 8, -5*s + c*s = -t + 16 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - n = -2*p + 36, -n = 3. Let r(h) = h**3 + 11*h**2 - h + 8. Calculate the remainder when 67 is divided by r(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = c + 5. Suppose k + c = 14. Is 4 + -2 - k*-11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17021.17ng to grams.\nAnswer: 0.00001702117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -164*c**3 - 3*c**2 + 3*c - 332. Let f(q) = -164*q**3 - 2*q**2 + 2*q - 329. Let m(w) = 2*d(w) - 3*f(w). What is the first derivative of m(v) wrt v?\nAnswer: 492*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*h + 3)*(3*h**3 - 5*h**3 + 4*h**3) + (4 - 4 - 2*h**3)*(h - 6 - 2 - 3*h)*(20 - 17 + 65) - h + h - h**4.\nAnswer: 267*h**4 + 1088*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 151, -5, -1, -6 in decreasing order.\nAnswer: 151, 2, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*x + 6 + 0 = 0, 0 = y - 2*x + 6. Let h be (-28)\/6*(-6)\/22. Let z = h + -95\/66. Which is the closest to -1? (a) z (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 16. Let j be 18\/12*10\/(-3). Which is bigger: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7139 is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) -0.9 (c) -709 (d) -0.1 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 622782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 o, and 1 x when three letters picked without replacement from {x: 2, l: 1, j: 4, o: 1, r: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(364\/21)*((-24)\/(-15))\/(-4).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*9\/3. Let o = -1 - -2. Let g = 3\/2 - o. What is the nearest to g in z, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1653 + -1647. Solve -v + z*v + 3*c = 4, 4*c - 12 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 7. Let o be 9\/((-22)\/24 - n). What is o rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 2, g: 1, y: 2, c: 1, d: 1}. Give prob of picking 1 c and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 - 65 = 3*d. Calculate the remainder when d is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 423*x**3 - 423*x**3 + 56*x**5 + (-x**3 + 1 - 1)*(-6 + 6 + 16*x**2).\nAnswer: 40*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) + sqrt(36) + sqrt(36)*3)\/sqrt(2))\/sqrt(3)*-6)\/(sqrt(2) + -2*sqrt(2)*-2 - sqrt(126)\/sqrt(7)).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 7 = -h, 3*v + 3 = 4*h - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49359133 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-18) + (-51)\/(-2295). Which is the third biggest value? (a) j (b) 3\/2 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -72 (b) -9 (c) 0.1 (d) 2 (e) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 - -0.2. Let q = -2.37 - v. Let l = q + 2. Sort 2\/17, 2\/3, l in descending order.\nAnswer: 2\/3, 2\/17, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.92246 + -1319014.07754. Let l = f + 1318966.00312. Let c = 67 + l. Round c to 4 dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d04 (base 14) to base 11.\nAnswer: 1a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4667773425.\nAnswer: 3, 5, 7, 8890997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 63. Let y(k) = 2. What is n(c) + 6*y(c)?\nAnswer: -2*c + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -7. What is the least common multiple of (-65)\/(-6) - n\/6 and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/42*6*(-28)\/(-8). What is the units digit of -270*(21\/(-6) + m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 32 - 29 + n**3 + n + 4*n**2 + 3*n. What is x(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - -4)\/(-1*1). Let y(o) = 4*o - 5. Calculate y(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*j**2 - 39*j**2 - 37*j**2 in the form u + m*j + g*j**2 and give g.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*g**2 - 10*g**2 + 39*g**4 + 12*g**2 wrt g.\nAnswer: 936*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 2. Let p be 2\/(-3) - (-7)\/a. What is the common denominator of -48\/5 and (59\/(-4))\/(p\/(-4))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**2 - 1. Let k = -1 - 0. Let d(z) = -5*z**3 + z + 1. Let p be d(k). Suppose -5*s = -2*h + 11, p*s + h + 2 = -0*s. Calculate g(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + u + 2 = 0, -d - 32 = 3*d - 5*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.7000639 + -6.7. What is p rounded to 6 decimal places?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -2, -5, -2353, -24.\nAnswer: -2353, -24, -5, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iri when three letters picked without replacement from {r: 2, i: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164487*b - 5712 = 164515*b. Is -108 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 9\/3)*(8 + -4). Suppose 0 = j + 4*k - 10, -22 = -0*j + j - d*k. Let i(p) = p**3 + 9*p**2 + 5*p + 15. Is i(j) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/7 (b) 3\/2 (c) 1\/5 (d) -5\/3 (e) 0.54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.599060943 rounded to five decimal places?\nAnswer: -2.59906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b + 23*b + 8*b + 9*b.\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + 0.7. Let i = -4 + s. Let g = 6.6 + -4.6. Put 1\/4, g, i in descending order.\nAnswer: g, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1423 + -1?\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -43*v**4\/4 - v**3\/3 - v**2 - 3*v + 14. Is y(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -44*l**3 - 20*l**2 + 28*l - 376. Let r be v(10). Round r to the nearest 1000.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + -1*(sqrt(208) - (-5 + (sqrt(208) - (-1*sqrt(208) + sqrt(208) + sqrt(208)))))**2*4.\nAnswer: -940 - 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/2 (b) 10 (c) 40.5 (d) 1 (e) -3\/5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -391327.9, -62.\nAnswer: -391327.9, -62, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 0 - (12\/(-40) + 1). Which is the closest to 1? (a) -1 (b) 1\/10 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*h**4 - 2*h**3*r**3 - 2373*h**3 + h**2*r**2 - 4160*h + 5*r**3 wrt h.\nAnswer: 1032*h - 12*r**3 - 14238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 63590 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5666 + 0.33.\nAnswer: -5665.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 8*z - 12. Calculate l(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8251 - 8250. Solve 0 = -4*a - 5*d + f, 3*d = -3*a + 4*a - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 3. Let b(t) = t**3 + 22*t**2 + 20*t - 21. Let i be b(-21). Suppose j + z - 4 = 0, i = 3*j - 2*z - 13 + 1. Give a(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 5*r**4\/24 + r**2. Let t(n) = 6*n**2 + 3378 - 2*n**2 - n**2 - 3378. What is b(t(a))?\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174687 is divided by 146786.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14177545 is divided by 114335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 3513250.\nAnswer: 2\/1756625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -17, -61, -143, -275, -469, -737?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*s + 25, 0*s = s + 4*x - 5. Put s, 3\/5, -1\/4 in descending order.\nAnswer: s, 3\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 9:40 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 3. Let j be (-3)\/((-1)\/((-4)\/(-6))). Suppose j*n + 3 = 1. Sort u, 1, n.\nAnswer: u, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422287?\nAnswer: 422287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + g**2 + 0*g**2)*((g - 2*g + 6*g)*(-5*g + 6 - 6) + (-64 + 4*g + 64)*(2*g - 4*g + g)).\nAnswer: 58*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let u = o + 2. Let b be (5 - u)*5\/2. Solve 0*v - 5*v - b = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 10) to base 4\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 + 11*r - 11. Let x(t) = 3*t + t + 0 - 4 - t**2. Let l be 8\/(-4) - (0 + 2). Calculate l*w(a) + 11*x(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -t - 2*h - 4, -4*t + 4*h = -16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*-5*1*(1*sqrt(76) + 5 + -4*(sqrt(76) + -2) + sqrt(76)))**2.\nAnswer: -260000*sqrt(19) + 1182500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1413, -1211, -1017, -831, -653?\n\"Answer: -4*w**2 + 214*w - 1623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - 2. Let b = -0.137 - 0.263. What is the third biggest value in 0.03, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*p + 99*p - 34*p)*(5 - 4 - 2)*(3 - 4 + 2)*(-3*p**2 - p**2 + p**2).\nAnswer: 45*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16226265637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2025.499 and 4.\nAnswer: 8101.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74952805 and 1.4.\nAnswer: -104933927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130 + -123. Let r = 338 - k. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 1404715562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - (-18)\/(-3))*-1. Let f(m) = 22*m + 10. What are the prime factors of f(a)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51250 (b) -2\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 7*r**2 + 30*r**2)*((-2*r - 3*r - 3*r)*(-4*r + 4*r + 3*r) - 2*r**2 + 4 - 4).\nAnswer: -624*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 7*b + 92 = 0. What is the common denominator of 23\/6 and -1*2\/(-36)*b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1047 + 1045. Sort -3\/17, o, 2\/15.\nAnswer: o, -3\/17, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 62*z + 845932 = 67*z, 845932 = 4*r + 3*z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)\/(j*j**(-3)\/j)*(j\/j**(2\/21))\/(j**(3\/4)*j))**(-1\/9) assuming j is positive.\nAnswer: j**(-223\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/7)\/(d\/(d*d\/((d*d**(-13\/5)\/d*d)\/d)))*(d**11)**(1\/2) assuming d is positive.\nAnswer: d**(657\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 2*x**2 + 2*x + 3. Let l(a) = -928*a**3 + 6*a**2 + 8*a + 9. Give 3*f(j) - l(j).\nAnswer: 925*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/4))**(-1\/49)*(k**(-1\/2))**(1\/13))**20)**50 assuming k is positive.\nAnswer: k**(-27750\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 7:18 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2249, 4498, 6737, 8960, 11161, 13334, 15473?\n\"Answer: -c**3 + c**2 + 2253*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) - ((sqrt(160) + (sqrt(160) - (-2*sqrt(160) - sqrt(160) - sqrt(160))) + sqrt(160))*-5 - sqrt(160) - sqrt(160))) + sqrt(160))\/sqrt(8).\nAnswer: 78*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.08 (b) 0.4 (c) 0.5 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 1, 0 = 2*y + 2*u + 75 - 67 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -24811625 * -1\nAnswer: 24811625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 97, 140, 205, 304, 449, 652?\n\"Answer: 2*q**3 - q**2 + 32*q + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4018 by -2.\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50215845 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 363 + -1088\/3. Let y(t) be the first derivative of 1\/5*t**5 - 2 + 0*t + 1\/6*t**6 - 3\/4*t**4 - m*t**3 + t**2. Solve y(i) = 0 for i.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + p - 5*p - 45 = 0, -3*y = 4*p + 35. What is the remainder when 5 is divided by (-4*y\/(-40))\/(2\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 2 - 3*t**2 + 2*t + 0 + 17*t**3. Let q be l(1). Suppose 4*w - 8 = -4*z, 3*z - 3 - 1 = -2*w. Solve -4*k + z*k = -q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:13 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 2. Let i be (0 + 2)\/(x - 0). Let q = -161 - -175. What is the greatest common factor of i and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q*q**(-5))\/(q*q**(-2\/3)*q)**(-1) assuming q is positive.\nAnswer: q**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkllzllkkukkkk. Give prob of sequence lu.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 - 84 = -6*l. What is the lowest common multiple of l and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11*u**2 - 2*u + 2. Let p be z(1). Let h(c) = c**2 + 2 + 10 - p*c - 8. Let w be h(16). Calculate the highest common factor of w and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w - 2*n = 31*w - 1496, 4*w - 2*n - 1472 = 0. Let z = 495 + -125. Is w at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 + 9*q**3 - 24*q**3 - 6*q**2.\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j - 17 - 115. Let f = -20 - j. Suppose 0 = u - 3*m + 2*m - 4, 7 = f*u - 3*m. Calculate the highest common divisor of 2 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 824561814 to the power of 1\/2, to the nearest integer?\nAnswer: 28715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*h**2*k**2*n + h**2*k*n + 22*h**2*k + 19838*h*k**3 - h*k**2*n + 7*h*k*n - 5*h*n wrt k?\nAnswer: 50*h**2*n + 119028*h*k - 2*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -37*d - 1\/18*d**3 - 1\/18*d**4 + 1\/126*d**7 + 1\/45*d**6 + 0*d**2 + 0*d**5 + 0. Factor u(f).\nAnswer: f*(f - 1)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5200912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82, -67, -42, -7?\n\"Answer: 5*g**2 - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 3055?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 7*l**5\/60 + 5*l**4\/24 - l**3 + l**2 - 54*l. Let y(c) = -9*c**2 - 4*c + 8. Let q(n) = 4*a(n) + 3*y(n). Calculate q(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 477\/(-27) - (-1 - 8\/(-6)). Let h(r) = 28 + 0*r**2 - 13*r - r**2 - 11*r. What is the tens digit of h(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1067 - 5507 = 0. Let z = -877 - n. What is the highest common factor of 869 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357045974 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*a = -p, -2*p - 5*a - 2 = 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201 + 28. Let y = -147 - q. Is 24 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*1*(-2)\/2. Let l be 1 + (q - 2) + -1. Solve -v = -0*v + l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + a**2 + 2*a**3)*(0 - 2 - 4)*(2*a**2 + 2*a**2 - 2*a**2) + 2*a**5 + 0*a**5 - 3*a**5 + (-3 + 0 + 4)*(0*a**5 + 4*a**5 - 2*a**5).\nAnswer: -23*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1657 - -1663. Let d be -5*2\/(-2) - 1. What is the greatest common divisor of l and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.6937 - 0.1037. Let y = d - 5.590000491. What is y rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 3*m**8\/28 - 3*m**5\/10 - 23*m**2. Find the third derivative of p(d) wrt d.\nAnswer: 2160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/14*(-1 + -1). Which is the smallest value? (a) f (b) 1\/11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6729)\/348)\/(33\/(-6)). Let k = z - -24\/319. Let j = -12\/323 + -7213\/5814. Find the common denominator of k and j.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuumqquqyquyyuu. Give prob of picking 1 m and 3 q.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*p - 18. Suppose -30 = p*v - 8*v + 2*c, 4*v + 3*c = 24. What is the remainder when 10 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-1680)\/(-812) + (-4)\/58)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11042 (base 5) to base 14.\nAnswer: -3d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -206 - 37665?\nAnswer: -37872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -4\/13395, -0.05 in descending order.\nAnswer: 3\/7, -4\/13395, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998668.7 millennia to decades.\nAnswer: 99866870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (-1 - 1))*1*55. Let f = 64 + v. Put f, -3, 0 in decreasing order.\nAnswer: f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-1)\/c)*c*c**(-4))\/((c*c**(-2\/7))\/c*c**0)*(c**(2\/3)*c*c)\/(c*c\/c**1*c)*c**0*c**2 assuming c is positive.\nAnswer: c**(62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.1, -2\/491.\nAnswer: -0.5, -2\/491, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/4 and 15\/392.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -48.5. Let j = 0.2 - 0. Let y = j + -0.3. Which is the nearest to y? (a) -0.4 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.694 times -0.3\nAnswer: -1.1082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -14. Let r be ((-51)\/n)\/((-2)\/(-4)). Let i = 19 - r. What is the greatest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k. Let g be b(4). Suppose 30 = 4*a - 2*w, 3*a + 2*a + 4*w = 31. Let f = 15 - a. Calculate the highest common factor of g and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/91247 or -1?\nAnswer: 2\/91247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17051258 by 17051258.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 13*k**2. Let g be u(1). Let j = g + -13. Suppose 0 = -3*c - 3*l + 21, 5*c - 67 = -j*c + 3*l. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = 4*q. Let b = 3 + q. Find the third derivative of 3*v**3 + b*v**3 - v**2 - v**2 - v**2 wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 10*c + 6*c - 3*c + 0*c - 1.\nAnswer: 15*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/1713 + 15281\/58242. Let p = n + 250\/51. What is the common denominator of -64\/147 and p?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77532 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let a be ((-1 - 0)*0)\/u. Suppose 4*m - 41 = 5*d, -2*m + a*d = -3*d - 21. Calculate the smallest common multiple of m and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.099995. What is t rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54005 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416272\/7 less than or equal to 345182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.804398953 rounded to 4 decimal places?\nAnswer: 18.8044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 407, 895, 1709, 2957, 4747, 7187, 10385?\nAnswer: 14449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/5 + 381706*r**4\/5 + 4963868*r**3 = 0. Calculate r.\nAnswer: -65, 0, 190918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 1}. What is prob of picking 2 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.025324 (b) -0.3 (c) 5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2784312, -2784296, -2784280, -2784264, -2784248, -2784232?\n\"Answer: 16*i - 2784328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4787 + 17487. Round b to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1, -3, -18\/7, -12, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*(sqrt(500)*5*4 + (sqrt(500) - (sqrt(500)*2 + 4))**2)*2.\nAnswer: -5600*sqrt(5) - 10320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*g + 52, -5*g + 5*m = 2*m + 102. Let a = 21 + g. Suppose 4*c - 26 = -2*t, -a*c = 5*t - c - 25. Solve -2*v = t*v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a day in hours?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -19\/417, 3321?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187890 by -31315.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**4 + 64280156*o**3 + 258246378441960*o**2 + 1807722142168448*o + 2582459284810240 = 0. Calculate o.\nAnswer: -8035016, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 j, and 1 d when four letters picked without replacement from {p: 3, m: 2, j: 1, d: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**3 + 6*v**2 - 14*v + 26. Determine c(4).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 48. Let s(x) = 3*x - 145. Let n(h) = -11*q(h) - 4*s(h). List the prime factors of n(-14).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 + 924 = 7*v. Let u = v - 158. What is the highest common divisor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49\/132 + 4\/33. Sort -0.07, 0.18, k in increasing order.\nAnswer: k, -0.07, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 - (-36)\/22)*5\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 488 = -4*n + 2*r, -n = -r - 123. Let b be (6\/8)\/((-37)\/(-148)). Suppose n = k + 5*y, 4*y = b*y - 1. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {l: 1, b: 1, c: 1, h: 2, y: 2, o: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - g**2 + 2 - 14 - 2*g)*(-g**2 + 2*g**2 - 2*g**2).\nAnswer: -g**4 + 2*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.27753 milligrams in kilograms?\nAnswer: 0.00004327753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-28))\/(10\/35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -365641560 divided by 3047013\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71195 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -23*z**2 - 123*z**3 + 29*z + 122*z**3 + 0*z + 136. Calculate the remainder when 1373 is divided by i(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(272)*-1)**2 - (sqrt(272) + 0 + 5).\nAnswer: 28*sqrt(17) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3.28924 times 24\nAnswer: -78.94176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*o - 1 - 20*o + 1 to the form t*o + v and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3660336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73.4 + 49.1. Round k to 0 dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/2)\/j**(-4))\/(j**1*j**1) assuming j is positive.\nAnswer: sqrt(j)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -882*q**2 + q + 881*q**2 + 9 + 0*q + 34. What is t(9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -304 + 304.00083. Round s to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**2 + 2*g - 1. Let f be y(2). Let w be 1\/(2 - f\/18). Let u = 8 + w. Do -1 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, x: 2, s: 1, d: 1, m: 2}. Give prob of sequence fs.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2601 = -58*l + 3953. Calculate the remainder when 1014 is divided by l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -11*o**6\/2 + 4*o**5\/5 - 27*o**3 + 239. What is the third derivative of c(s) wrt s?\nAnswer: -1980*s**2 + 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - h**2 + 2*h**2)*(25*h**3 - 103*h**3 + 0*h**3 + 1).\nAnswer: -78*h**5 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-4*o + 3*o - o)*(2 - 5 - 1)*(2 - 6 + 2).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k**2 - k + 1. Suppose -3*f + 13 = o, -4*f + 2*f + 7 = -o. Give u(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 + -119. Suppose 10*p = l*p - 75. Let y be (-2)\/(-5) + (-26)\/(-10). Solve y*c = -2*c + p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75279.54 centimeters in millimeters?\nAnswer: 752795.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.09521066 rounded to one decimal place?\nAnswer: 15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8271 is divided by 1091.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -68, -50, -32?\n\"Answer: 18*x - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 4*w + 7 + 15*w.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 6027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 + -5 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - x + 14, 11*x - 14*x + 14 = 5*f. Put -4, -3, f in decreasing order.\nAnswer: f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 + 16*z**2 + z - 16. Give a(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, -15, 1 in ascending order.\nAnswer: -15, -1.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57712878?\nAnswer: 2, 3, 1068757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -15.5. Let k = -9 + i. Do -0.1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380585, -380584, -380583, -380582, -380581?\nAnswer: -380580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 252*n**3*u - 3*n**2*u + 4*n**2 + 2*u wrt n?\nAnswer: 1512*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (4 - 3 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 10) in base 15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108\/11, -1\/3, 1\/6 in increasing order.\nAnswer: -108\/11, -1\/3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -5*r**4\/24 + 14*r**3\/3 + 8*r**2. Let m = -3 + 13. What is the remainder when z(0) is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2563 or -2564?\nAnswer: -2563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2326148*u**3 - 471343*u**2 + 7*u.\nAnswer: -13956888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3241*x**3 - 3242*x**3 - 14 + 14.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 112*d - 415. Let a(h) = -20*h**2. Calculate m(a(b)).\nAnswer: -2240*b**2 - 415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 125408, 125407, 125406, 125405?\n\"Answer: -r + 125409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 5*a - 23, 3*h + 13*a - 11*a = 12. Solve 2*w = 3*s - 9 + 16, -h*w = -10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -3. Let z = s + 1. What is the second biggest value in z, -1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 5*q + 2. Let p be h(-6). Suppose 0 = -j - 1 + p. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1442 = -3*w + 5696. Let f(h) = -h**3 + 1418 - h**2 - w. Let r be f(1). Which is the nearest to 2\/3? (a) -5 (b) -2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 3. Let p be i(0). Suppose -p*c - 4*m = 1 - 3, 3*c + 2*m - 10 = 0. Solve 0 = j + 2*j - c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59865568 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116.78209 - 0.03791. Let n = 117 + c. Let l = -0.42 - -0.02. Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1387 is divided by 136.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 17. Let d = 43 - 26. Let y(v) = -v**3 + 6*v**2 - 8. Let t(q) = 8*q**2 + 9*q**2 - 33 - 3*q**3 + 10. Determine d*y(o) + h*t(o).\nAnswer: o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 + 62.7. Let r = g - -7. Let m be (-1 + -1)*3\/(-15). Which is the closest to 0.2? (a) r (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10}. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -109*i**3 - 75*i**2 + 150*i - 7. Determine a(2).\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710634000 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 5825.26468744.\nAnswer: -5824.26468744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62501 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*32\/520*15\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = -5*f - 15, -t = -f. Let r(w) = 29497*w**2 - 5*w - 6. Let u be r(f). Suppose -5*s + 3512556 + u = 0. Round s to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011100110001110110 + 101?\nAnswer: -10110011100110001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p = -112. Solve -2*m + o = 3*m + p, 2*o = 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 (base 14) to base 4\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 2*o + o)*(-1 + 5 + 9*o**2 - 6).\nAnswer: -9*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1815385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 641.5 less than -865\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131 + -126. Suppose h*d - 2*u + 5 = 0, 2*d - 2*u + 4 = -4. List the prime factors of (2169\/36)\/(-2*d\/(-8)).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 3\/17 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -66, -82, -104?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**3 - 219*w**2 - w - 903 wrt w.\nAnswer: -12*w - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 3*t**2 - 323 + 323 - 13*t**3 - t**4 in the form k*t + g*t**4 + q*t**3 + p*t**2 + o and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 0.09840388.\nAnswer: 0.0029521164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3004612.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13288773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(16\/(-12)))\/(210\/80).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 9:33 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -18*u**4 - 962*u**3 - 1246*u**2\/3 + 458*u - 212\/3 = 0.\nAnswer: -53, -1, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1157375 is divided by 2580.\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -5. Suppose 4*s = -2*n - 2, 2*s - 11 = -l*n - n. Which is the smallest value? (a) -1\/9 (b) -2\/23 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, q: 1, e: 1, l: 1, c: 5}. Give prob of picking 1 m and 1 c.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/75? (a) -0.1 (b) 161\/10 (c) -4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(190) + 3*2*sqrt(190) + sqrt(190))*-5)\/(6*(sqrt(10) + sqrt(250)*-1 + sqrt(10) + sqrt(10)*1*6)).\nAnswer: -20*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2088087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by (0 - -1)\/(-1)*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2) - (sqrt(32) + -2)))**2.\nAnswer: -48*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3)*i)\/((i**(-1)*i)\/i))**(-13\/2) assuming i is positive.\nAnswer: i**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + g**2 - g - 1. Let r(u) = 580*u**3 - 435*u**2 + 435*u + 435. Give -435*c(v) - r(v).\nAnswer: -145*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -276752 - -465614. Let j = y + -188954.9953. Let s = j - -93. What is s rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53a (base 11) in base 10?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((384\/(-224))\/(27\/63))\/((-16)\/212).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 21*p = 10, 3*w + 4*p = -128. Let v(c) = -c**2 + c + 9. Let q be v(4). Let m be -38 - (-5 + (-12)\/q). Which is smaller: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 - (-4 - 3 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 - 8*n**2 + n - 1. Let v(k) = -13*k**3 - 56*k**2 - 2486*k - 7. Give 7*r(h) - v(h).\nAnswer: -h**3 + 2493*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9080614 (b) 1\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13566, 26411, 39256, 52101, 64946, 77791?\nAnswer: 90636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 3605\/2, -0.1, -990?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*h**3 - 1478*h + 780*h + 695*h.\nAnswer: -77*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138895320?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1124220 to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247082*o**2 + 200*o - 202*o - 247082*o**2 - 37*o**3.\nAnswer: -37*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5062697 <= 5062805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -2 - -37 - -1. Let o = -18 - -20. Is -3*o\/(-6) + i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1 = 2*r, 4*r + 6*n = 2*n + 8. Let d = 0.51 + 3.09. Let i = -3.2 + d. What is the closest to r in -4, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/105)\/((-2)\/33)*-2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**3 + 2*d**2 - 25*d + 1. Let o(b) = -8*b**3 + 4*b**2 - 49*b + 1. What is 3*o(h) - 5*z(h)?\nAnswer: h**3 + 2*h**2 - 22*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1245270 - 1245190 = 5*u + 5*h - 0*h, 37 = 2*u - 3*h for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3843786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*k + 100, -k + 2*k = 3*p - 103. Suppose -439 = -3*s - 3*a + 7*a, 3*a = 15. Calculate the greatest common divisor of s and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34149 and 0.186.\nAnswer: -6351.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/((-43677)\/(-3798))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 177*v**2 - 705*v**2 - 203*v**2 to the form j*v + k + r*v**2 and give r.\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.767 + 0.88. Let g = u - 0.013. Sort g, -2, 2\/9 in ascending order.\nAnswer: -2, g, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -88 in -0.4, -1509, -2\/7, 3, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(68\/714).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 5, -2, 3\/8, 11, -153?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 282 and 1034?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509164 = 10050*q - 16714 for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 6*w - 10. Let f be q(-6). Let x be 8\/(-20)*f\/(-18). Let u = 0.5 - 3.5. Which is the biggest value? (a) x (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*a + 4, -7 = 3*t - 7*t + 3*a. What is t rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 67. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14866516501 + 0.4\nAnswer: 14866516501.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 1. Let s(l) = -l**2 + l - 1. Let d(y) = -q(y) - s(y). Let c(a) = -18*a. Calculate d(c(j)).\nAnswer: 324*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 498781963 to the power of 1\/3, to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1046*h**3*p**2 + 91*h**3 + 1218*h**2*p**2 - 7*h**2*p - 2*h**2 + 3*h*p + p**2 wrt h.\nAnswer: 6276*p**2 + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -424213 (base 6) in base 15?\nAnswer: -a3e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k**4 + 44*k**4 + 25*k**4 + (2*k - 2*k + k**2)*(3*k**2 - k**2 - 4*k**2).\nAnswer: 61*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/11, -4, 3 in decreasing order.\nAnswer: 3, 3\/11, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 111, 265, 455, 687, 967, 1301, 1695?\n\"Answer: l**3 + 12*l**2 + 111*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*c**2 + 5*c**2 - 2*c - 3*c**2 + 2*c**2 - 5*c**2 as m*c**2 + d*c + j and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9260, -28465, -60478, -105299, -162928, -233365, -316610?\n\"Answer: -6404*c**2 + 7*c - 2863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48384723 divided by -70429?\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 296, 303, 312, 323, 336?\n\"Answer: c**2 + 4*c + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 4110356?\nAnswer: -3\/2055178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690246131 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -1 + (-4)\/(-2) - 1. Suppose -4*o - i*u - 56 + 1024 = 0, 3*o - 5*u = 739. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*x**3 + 78*x**3 + 143*x**3.\nAnswer: 266*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150984\/(-38212) + (-6)\/123.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5240993122.\nAnswer: 2, 197, 2677, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3784 - 2752. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/3 - 26*k**3\/3 - 83*k**2\/3 + 110*k\/3 = 0 for k.\nAnswer: -22, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221651 and 2333948?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42625\/6 or 7103?\nAnswer: 7103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqu when three letters picked without replacement from {q: 4, u: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 167\/378 - 10\/27. Let u = q - 61\/70. Sort -4, u, 0 in decreasing order.\nAnswer: 0, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.2 (c) 34\/195955\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/20)\/(6\/20). Suppose 0 = -t*i - 15 + 39. Suppose i*f = 3*f + 177. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.087200004031 from -0.05.\nAnswer: 0.037200004031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/13, 88, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -c - 12, -2*c + 10 = 4*w - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102*(-197)\/(251175\/(-900)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 11*b - 50. Let j(v) = v**2 + 6*v - 26. Let t(y) = -5*j(y) + 3*r(y). Determine t(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 27*d**4\/2 - 21795*d**3 - 72707*d**2\/6 + 8614*d - 3230\/3 = 0.\nAnswer: -1, 2\/9, 1615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**3 + 4*y**3 + 6*y**3 + (3 - 1 - 1)*(4*y**3 + 0*y**3 - 3*y**3) to the form z*y + q + n*y**2 + m*y**3 and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1470 or 10298\/7?\nAnswer: 10298\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*u + 4, 0 = 5*i + 4*u - 0*u + 36. What are the prime factors of 100\/1*((-30)\/i)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4051, -7830, -11569, -15268, -18927?\nAnswer: -22546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1509 * 0.4.\nAnswer: -0.06036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1204*d - 41. Let t(i) = 2203*i + 76. Let c(p) = 11*q(p) + 6*t(p). Let u(w) = w + 0 + 8*w - 2. Determine 6*c(l) + 17*u(l).\nAnswer: -3*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 5)*(4*a + 3*a - 3*a)*(0 + 3 - 1).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139 divided by 1.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53878 + 94038 = -4883*v - 169479 for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(40)\/(sqrt(16)\/sqrt(2)) - sqrt(5)) - (4*(-4 + sqrt(5) + -1))**2.\nAnswer: -479 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Collect the terms in 4117*l**2 + 4120*l**2 - 8238*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518*s + 2*s**2 + 2576*s - 518*s - 529*s - 517*s - 520*s.\nAnswer: 2*s**2 - 26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 60*f + 196. Let v be t(-3). Solve 0 = -5*b - v + 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 17*h**2 + 19*h + 23. Let n be j(-18). Suppose l = -4*z + 5, 0 = z - n*l - 14 - 3. Let o(y) = -2 + 36*y - 9*y + z. Let a(d) = d. Give a(o(b)).\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*x - 1 + 1 + (-13 - 3*x + 13)*(-1 + 4 - 4).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73329.131 - -73437. Let l = b - -0.131. Let r = l - 108.067. What is r rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.1 (b) -170\/81 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 28*j**3 - 32*j**2.\nAnswer: 4*j**2*(j - 1)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 8b26d2?\nAnswer: 8b26d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 4*k**3 + 0*k**3)*(-3 + 1 + 0 + 2*k) + (-31*k + 56*k + k**4 - 2*k**4)*(1 + 1 - 1).\nAnswer: -7*k**4 + 6*k**3 + 25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from ttttstttrr.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 4*a = 693. What is the remainder when a is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(2 + (-8)\/4). Suppose 9*p = -l*p + 5*p. Solve 4*k + p*k = 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 304 (b) 2\/9 (c) -0.0735\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440*a + 418 - 62 = 7396 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**2\/4 + 1965*m + 1287075 = 0.\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + -2. Let a(z) = 2*z**2 - 2*z + 3. Let k be a(6). Let w = k + m. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -282 + 282. Put -0.1, -4\/7, n, -1 in descending order.\nAnswer: n, -0.1, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (3 - 4)) + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -7.345.\nAnswer: -1.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhvclgl. Give prob of picking 2 l and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.29\nAnswer: 0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10681\/39 - 274. Let k = 113\/273 + h. Let f = -0.7 - -1. Which is the biggest value? (a) k (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgxmgvm. Give prob of picking 1 m and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*h - 11*h - 4800. Let b = h + 32. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1 = -3*l + 5, -5*d - 8 = -4*l. What is the third derivative of 25*b**4 + 47*b - 90*b - 28*b**2 - l*b**3 + 45*b wrt b?\nAnswer: 600*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {k: 8, z: 2, r: 1, m: 1, w: 1, v: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*h + 2*g - 12, -4*g = -8. Suppose -12 = -5*s + 2*s. What is the least common multiple of s and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osmmssmaumsumumsaqa. What is prob of sequence usa?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41336624089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147225101 to the nearest integer?\nAnswer: 12134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 19007*x**2. Let y(s) = s**2 - 54 + 155 - 53 - 48. Determine t(y(u)).\nAnswer: 19007*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8416*i + 144 = 8398*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x - 2030 = 0. Suppose -t = 1, z - x = 3*t - 84. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h\/(h**1\/h))))**(-28)\/(h\/h**(-1\/5)*h*(h\/h**(1\/7))\/h))**(-1\/4) assuming h is positive.\nAnswer: h**(508\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 = 7, -2*t + a = 9. Let g be (-11)\/t + (-2)\/10. Suppose g*b + 1973 = 3*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3412027 to four dps.\nAnswer: -0.3412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5\/(z*z**(2\/9)\/z))\/(z**(-3\/2)\/z**0))\/((z**(-3)*z*z*z\/(z**(-4)*z))\/(z**4*z*(z**1*z)\/z*z*z)) assuming z is positive.\nAnswer: z**(203\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*g + 8 + 13 = 0, -4*g = -3*z + 1. Suppose 0 = -4*x - 2*o + 38, z*x + 70 = 8*x - 2*o. What is the highest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 721 - 720. Let m = 1817\/7 + -259. Which is the second biggest value? (a) l (b) 4\/19 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202594947883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-9)\/6*-2. Let v = -61\/22 - -80\/11. Do u and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -407, 1, 253 in decreasing order.\nAnswer: 253, 1, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 46*y**2 - 58*y - 116. What are the prime factors of q(39)?\nAnswer: 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 9*h**2 + 8*h + 12. Let j be q(-8). Let z = j - 4. Let o be 2\/z + 423\/36. Calculate the greatest common divisor of o and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**3\/6 + c**2 - 3*c. Let p(i) = -i**3 + 3*i + 1. Let t be p(-2). Let v(r) = 7*r + r - 4*r - t*r + 1. Give 2*q(j) - 4*v(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9569561 (base 10) to base 6\nAnswer: -541035305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 31 = 4*x, z - 3 = -x - 2. Let h(t) = -1232*t - 1 - 1224*t + 2455*t + 1 - 1. Determine h(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0. Suppose 0 = -46*w + 417 - 601. What is the nearest to -0.5 in l, w, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 1:35 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 392 - 389. Calculate the smallest common multiple of a and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 9*a - 2. Let v(x) = -26*x + 6. Suppose 3*n = -r - 52, -5*n = 2*r + 86 + 1. Calculate n*m(d) - 6*v(d).\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -16*n - 1. Let m be g(-2). Let c(v) = -v**3 + 279*v**2 - 521*v - 9131. Let h be c(277). Which is bigger: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-68)\/2 - (4 - 8). Let z be (-5)\/n + 3\/(54\/1095). Suppose z - 21 = 8*l. Solve -x + 16 = -l*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 80\/7, -0.3, -125, 0.03, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - 2*h + 2*h + (-4 + 3 + 0)*(-4*h + 7*h + 5*h).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 108\/32 + -5 + (-3)\/8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1176927 years?\nAnswer: 0.01176927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s + 75. Give u(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m + 9. Let c(g) = 3*g + 9. Let o(p) = -4*b(p) + 3*c(p). Let q be o(-7). Let t(j) = -2*j**2 + 5*j - 2. Let x be t(2). Solve 4*a = -x*a - q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 - 59*x + 16. Calculate p(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6226.\nAnswer: 2, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 5. Let p(y) = -3*y + 25. Suppose 0 = -5*u + 4*x + 51, -3*u + x = -7*u + 24. Let z be p(u). What is the biggest value in -5, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1084951*a - 2. Let b(x) = -x - 29. Calculate b(v(j)).\nAnswer: 1084951*j - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -689*b**2*h**6 + 10*b**2*h**2 - b**2 - 7*b*h**2 wrt h.\nAnswer: -82680*b**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 1. Let s(y) be the third derivative of -y**4\/12 + y**3\/3 + 5*y**2. What is -3*q(k) - 2*s(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 1, -24\/7, -0.1, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-15) - 10624\/(-10). Suppose 3*n - h = -3*y, y - 3*n = n + 354. Let q be y\/4 - (-6)\/(-12). Calculate the greatest common divisor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -192 + 120. Let d = m + -28. Let n = -23 - d. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 256\/(-1353) - 4\/(-22). Let y = -1\/369 + t. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.03, 38, -11, 3, 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 895, 902, 899, 880, 839, 770, 667?\n\"Answer: -p**3 + p**2 + 11*p + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25\/4, 2\/11, -52, 4, 0, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -14 (b) 11 (c) 4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 363.853554 rounded to one decimal place?\nAnswer: 363.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120614\/503 or -240?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7115 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113448 and 119016?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10027 = 537*s - 13249 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.1, 1\/6, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 566851560 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 117123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 5, r: 1, e: 2, m: 2, v: 2}. Give prob of picking 1 e, 1 u, and 1 t.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = 8. Let n = -0.4 + 0.9. Which is the nearest to -1\/4? (a) n (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 15. Let d(n) = n**2 + 6*n + 5. Let l(w) = w**2 - w + 1. Let g(k) = -7*k**2 + k - 10. Let p(j) = g(j) + 6*l(j). Give u*p(y) - 5*d(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0 - 6 = 0. Suppose s*t - 38 = 144. Let j = 140 - t. Calculate the remainder when j is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(228)\/((-1*sqrt(72))\/sqrt(6)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2065347 or -2065346?\nAnswer: -2065346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2.2. Let i = 0.7 - j. Let o be (220\/(-945)*(-129)\/473)\/(1 - (-7)\/(-9)). Put i, 3\/4, o in ascending order.\nAnswer: o, i, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 473*t**4\/24 - 457*t**3\/6 - 2*t**2 - 229. Differentiate c(s) wrt s.\nAnswer: 473","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1848 divided by 462?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Suppose -c*g = g. Suppose -q + g*q + 2 = 0. Solve -5*o - q = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*d**4 - 2*d**4 - 32*d**4 - 14 - 18 wrt d.\nAnswer: -104*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 192 or 894929\/4663?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 397 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - c + 17 = 0, r + c + 52 = 61 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9*b**2 - 5*b**2 - 9.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 5\/24*o**4 + 0*o + 4*o**2 + 1\/6*o**3 + 0 + 1\/60*o**5. Is v(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3.177 (b) 1 (c) 15\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -27*o - 96*o**2 - 58*o**2 + 43*o**2. Let s(l) = -16*l**2 - 4*l. Let d be (-530)\/(-265) + 2*(-1 - -2). What is d*h(u) - 27*s(u)?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.24642 rounded to 2 decimal places?\nAnswer: -2.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-10))\/(4\/60). Is 109\/3 + 8\/y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(-7\/2)\/c)\/c*c*c))\/c**(-2\/9)*c\/(c*c**6*c)*(c\/c**(-6\/11))\/c)\/((c\/c**(2\/7))**15\/(c\/(c**(1\/2)*c))**(-16\/11)) assuming c is positive.\nAnswer: c**(-16243\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 103205926 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233 - -465. Does 27 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*i + 1 + 4 + 8 + 10 wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 4*s + 3. Let l be z(2). Let o = -9 - l. Suppose -q + 0*q = -o. Solve 4*f - f + q*n = -32, 3*f - n + 7 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95371*g**5 + 9*g**2 + 25797205*g?\nAnswer: -1907420*g**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/3)*j)\/j)\/(j\/j**5*j)*(j*j**(4\/3)*j)\/(j*(j*j\/j**(-7))\/j))\/((j**(-1))**36*(j*j*j**7*j)\/((j*j\/j**(-4)*j)\/j)) assuming j is positive.\nAnswer: j**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f + 1. Let q be k(4). Let w = -14 + q. Let i = -13 - -12. Which is bigger: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 76 = 3*v, 3*v = 11 + 1. Is 726\/y + (-6)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-5))\/((-8)\/20). Suppose -3*m = -2*y - 3*y + 11, 5*m + 7 = -p*y. Is m less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-38)\/(-437) - 7824\/46. Calculate the common denominator of g\/8*196\/9702 and 61\/24.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6301 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 312103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 9*c + 6. Let g(l) = -l**2 - 8*l - 3. Let w be g(-6). Let k be (21\/9)\/(3\/w)*1. What is the units digit of y(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3063, 5246, 5655, 3402, -2401, -12642?\n\"Answer: -148*t**3 + t**2 + 3216*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 1, y: 5, v: 1, r: 1}. Give prob of sequence uuxv.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1111257 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*k - 8 = 0. Suppose 5*v - k*g - 591 = 0, 4*v = -g + 116 + 340. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 37*x**2 + 54*x + 803. Give b(35).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3204304413 + 4?\nAnswer: 3204304422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 914019 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-2)*m))**(3\/7)*(m*m**2)**(-34))**(-31\/3) assuming m is positive.\nAnswer: m**(7316\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-18) + (-384)\/(-27). Let b be (-1 + 1)*7\/q. Suppose -5*y + 48 + 32 = b. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-42 - (-54 + 37)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 + 2*i**3 + i**3)*(16*i**2 + 36*i**2 - 11*i**2) - 8*i**4 - 2*i**3 - 2*i**5 + 2*i**3.\nAnswer: -84*i**5 - 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 732 by -183.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from {v: 2, t: 3, u: 2, s: 2, g: 2, e: 5}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*z**4 + 17685*z**2 - z**3 + z**3 + 0*z - z - 18212*z**2 wrt z?\nAnswer: 672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 16. What is the greatest common factor of 33 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 384.\nAnswer: -2, 2, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*x + 74*x + 9. Let h = -8.9 - -9.4. Let g be 1 + (-3)\/(18\/7). Which is the smallest value? (a) g (b) -4 (c) x (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z**3 - z**2 + z + 2. Let s be o(-2). Suppose 11*d - 7*d - s = 0. Calculate the remainder when 38 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + u**2 + 1. Let h(r) = 5*r**3 + 9*r**2 + 6. Let x(y) = -h(y) + 6*k(y). Determine b so that x(b) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 731341*h**2*i + h**2 - 2*h*i + 17*h + 170738559*i wrt h?\nAnswer: 1462682*h*i + 2*h - 2*i + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 10070.63 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 9:29 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b2954 + 104?\nAnswer: -3b2850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2128, -8501, -19122, -33991, -53108?\n\"Answer: -2124*z**2 - z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -43, 123, 251, 329, 345, 287, 143?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 6. Let f be c(-4). Suppose 3*p - 92991 = -3*o, -3*o - 2*p = -f*o - 30994. Suppose -7*v = -12*v + o. Round v to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214141344 (base 5) to base 14.\nAnswer: 1a2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11228178 rounded to the nearest 10000?\nAnswer: -11230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/30)\/(1\/(-645)). Let m = -219 - s. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -2 - 567\/54)*(-8)\/12. Solve -3*g + d*x = 17, -25 = -g - 4*g - 5*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36433 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053*j - 22593 - 31858 - 20312 = 0 for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162\/4)\/(-9)*((-4624)\/153)\/8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/((-1)\/(-2)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -2\/83 (b) 8 (c) -1.3 (d) -4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f - 7. Let g(c) = c - 1. Let a(s) = -d(s) + 3*g(s). Let q be a(7). Let y be (0 - 3) + q\/(-5). Sort 5, y, 1.\nAnswer: y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = -2*y + 435. Suppose -2*h - 146 = -446. What is the remainder when h is divided by y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -479.2 + 479. What is the closest to 2 in -0.3, -2, s, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165443351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -18*u - 2*u. Which is smaller: -25\/8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**3 - 82*r**3 + 30*r**3 + 12*r**2 + 19*r**2 - 31*r**2 + 12*r**3.\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpbd when four letters picked without replacement from vzzvpbvdzdd.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -241*c**3 + 232 + 425*c**3 - 219*c**3 - 5*c**2 wrt c.\nAnswer: -105*c**2 - 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -16*q + 0*q**2 + 3\/5*q**5 + 0*q**4 + 10 + 0*q**3. What is the derivative of b(f) wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*a**2*o**3*r**2 - 14*a**2*o*r**3 + 4*o**3*r**3 + o**3 - 5*r**2 wrt r?\nAnswer: -84*a**2*o + 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpg when three letters picked without replacement from {b: 2, g: 1, n: 2, p: 5, z: 4}?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(3\/8)*v)\/v**(-2\/69))**(-29))**46 assuming v is positive.\nAnswer: v**(-38483\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 106\/(35\/(-14)*(23\/115)\/((-3)\/12))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 2*a. Let q(i) = -23*i**2 + 40*i + 19. Let f(k) = -q(k) - 6*r(k). Is 32 a factor of f(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from clvv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(200\/465))\/(3630\/968).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(175))**2 - sqrt(1008) - (4*sqrt(168)\/sqrt(3))\/(sqrt(200)*-2).\nAnswer: -158*sqrt(7)\/5 + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 - (2 - 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/3))\/p)\/p*p**(-8)*(p*p**1)**(-3\/4) assuming p is positive.\nAnswer: p**(-67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 7a?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.5, -197144, 3\/26?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 13*r - 68. Let d be q(17). Is -10 + 6 + 0 + 1547 + d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/i**3*i**(-5\/6))\/(i\/(i\/(i**(-1\/4)\/i)))**13)\/((i**(-2\/7)\/i)**(-50)*i**(-5\/4)*(i*i**(-6))\/i) assuming i is positive.\nAnswer: i**(-874\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 14*l - 2. Let a(h) = -21*h - 3. Let d(s) = -6*a(s) + 9*c(s). Let n(k) = -k. What is d(n(j))?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.707 and 1500560.\nAnswer: 1500563.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**3*u + 3102*g**2*u - 7*g + 218276*u + 2 wrt g?\nAnswer: -3*g**2*u + 6204*g*u - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*j = 980. Suppose 3*l = -4*w - 3, 2*l - w - 21 = 4*w. Suppose 2*n = l*q - 2*n - 553, -n = q - j. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (23 - (-24 - -42)) + -2 + (-1 - -7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 2*c**3 - 4*c**2 + 2 - 3*c**3 + 3*c**3. Let j(t) = t + 2. Let x be j(0). Calculate g(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4662 and 1.\nAnswer: -4662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**5 + b**5 - b**5)*(0 + 2 - 3)*(13 + 38 + 6).\nAnswer: -114*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63128 + -29311. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 17*h. Suppose -5*l = 3*v - 10, 5*v + 0*l = -2*l + 4. Let n(d) = v*d + d - 5*d. Determine 6*c(z) + 26*n(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h*n**3 - 91994*h*n*p - 2*n**3 + 13*n**2 - 5*n*p wrt h?\nAnswer: n**3 - 91994*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1501*o = -3635*o - 409091 + 70115 for o.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -80, -3, -4, -7, 0, 127 in ascending order.\nAnswer: -80, -7, -4, -3, 0, 5, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/252 + (-181)\/7 + 3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(7\/6)\/(w\/w**(-1\/15)))\/(((w*(w*w\/(w*w**7))\/w)\/w*w)\/(w*w**(-6\/5))) assuming w is positive.\nAnswer: w**(59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**2 - 3010*l + 32505 = 0.\nAnswer: 11, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 819.98 - 810. Let w = y - 0.28. What is w rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/46*72724 + 18\/207. What is the remainder when 122 is divided by (2\/(-6))\/((-34)\/y)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**2. Let f(t) = 3*t - 2. Let j(i) = 37*i**2 + 17*i - 10. Let d(c) = -5*f(c) + j(c). Give d(g(s)).\nAnswer: 1813*s**4 + 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6957941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from vvfsvsssffvvqvqvuvs?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 + y**2 + 2*y + 1. Let t be j(-1). Let z(f) be the third derivative of -f**6\/120 - f**5\/15 + f**4\/6 + f**3\/6 - 12*f**2 + 8. Determine z(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 202, 673, 1448, 2521, 3886, 5537?\n\"Answer: -r**3 + 158*r**2 + 4*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2 - 0. Let d be 312\/(-28) + c\/7. Let h = d - -15. Calculate the remainder when 19 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 - 127 = -14*i - 64 + 128 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 12. Let p(u) = 8*u - 30. Let r(i) = 12*f(i) + 5*p(i). Let y be r(4). Suppose 45 = 5*m - y. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**8\/20160 - t**5\/30 - 2*t**2. Let v(j) be the third derivative of c(j). Let b(h) = 2*h. Determine v(b(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/3 - 20*w**3\/3 - 8*w**2 + 48*w = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w + 2*w**2)*(2*w - 3*w + 3*w) + 5*w**3 - 6*w**3 - 8*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (270\/(-60))\/((-9)\/14). Let y = 10 + -5. Suppose s - y*s = -4. Solve s = -2*w + 5*f - 2*f, -5*w = -3*f + m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 4*a**2 - 4*a - 3. Let g be f(5). Suppose -j - 4*i + 11 = -4*j, 0 = -3*j + g*i - 1. Solve 0 = j*w - 12 - 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwuuuwduu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 50?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -1\/6*k**3 + 14*k + 0*k**2 + 6. Let l(y) be the first derivative of o(y). Let u(g) = 14*g. Give u(l(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 8)*(-2*q + 2*q - 3*q)*(-4 + 1 + 2)*(-2*q - q - 21*q).\nAnswer: 288*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 40.16.\nAnswer: 441.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, n: 4, e: 3, b: 2, k: 2, m: 1}. What is prob of picking 1 b, 1 r, and 1 m?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -8 - 32 - (-1 - -7).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 746*l + 19*l**2 - 746*l. Let f(j) = 4*j**2. Determine f(a(n)).\nAnswer: 1444*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2*p + 32 = 0, 247*i + 4*p = -504*i + 479*i + 764 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 15 = -21. Suppose 0 = 4*o - 128 - 80. What is the remainder when o is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90119*d**5 - 37*d**2 + 2*d - 14 wrt d.\nAnswer: -5407140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 13, c: 6}. What is prob of picking 2 r?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 10*g + 2. Let o = 56 + -46. Let f be l(o). Suppose d = -f*d + 3*t + 321, d - 3*t = 115. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -11111?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 41679\nAnswer: 8335.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73798838 + -8.\nAnswer: -73798846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3 + (-6)\/((-162)\/63)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 1, v: 2, j: 1, y: 1}. Give prob of sequence jg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10182310 rounded to the nearest 100000?\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, 4 in descending order.\nAnswer: 7, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c. Let t(w) = 10*w**2 - 2*w - 4. Let v be t(-1). Calculate r(v).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**5\/60 + 13*p**3\/3 + p**2. Let f be (-339)\/69 + 4\/(-46). Let a be ((-4)\/(-1))\/(-4) - 5\/f. Calculate w(a).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2179*f*r - 1366*f + 8*r**2 + 3 wrt r.\nAnswer: -2179*f + 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 12*j**2 - 14*j + 10. Determine m(10).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 - y**2 + 2*y**3 + 2*y + 0*y**3 - 3*y in the form u*y**3 + i*y + v*y**2 + o and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 777.\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -7*s**4 + 5*s + 16. What is the first derivative of u(g) wrt g?\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 1 - 3*k + 0*k. Let o(w) = -3*w - 3. Let l = -15 - -13. What is l*o(r) + 7*c(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/(-39))\/(44\/(-15) - -3). Let i(y) = 4*y + 16. What is i(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, e: 3, u: 3}. What is prob of sequence pup?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6038366, -6038255, -6038146, -6038039?\nAnswer: -6037934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or -1584?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -48*z + 130. Determine g(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**4\/8 + 3*c**2\/4 - 16*c. Find u such that l(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/125567 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s + 11. Let v(x) = -3. Let d(j) = 3*v(j) + z(j). Let a(p) = p + 1. Let c(u) = -10*u - 8. Let h(w) = 8*a(w) + c(w). What is d(h(r))?\nAnswer: -18*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t = 57*t + 19. Let p = -8\/33 - -10\/11. Which is the third smallest value? (a) p (b) 2\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*t**4 - t**3 - 123*t**2 + 218*t + 2 wrt t.\nAnswer: -204*t**2 - 6*t - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3562*g + 3595*g - 4*g**2 - 7153*g.\nAnswer: -4*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641976 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/5 - (-264)\/55. Suppose m*u = -1468 + 4018. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*z**2 + 24 - 24)*(-6 + 2 + 8) + (2*z + 1 - 1)*(z + 0*z - 3*z) as f + o*z**2 + a*z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-25))\/(12\/(-10) + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -13274646\nAnswer: -172570398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/50*40\/1. Let m(h) = -2*h - 1. Let t be m(-2). What is f in 279\/5*f**2 + 12\/5 + 30*f**4 + u*f + 69*f**t = 0?\nAnswer: -1, -1\/2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12969, 12961, 12941, 12903, 12841, 12749, 12621, 12451?\nAnswer: 12233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 578 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s**3 + 79*s**2 + 32*s - 17. Let b be r(-8). Solve 29*j = 30 - b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 9*y**2 - 5*y - 2. Let x be j(-9). Let d = 48 - x. Let f = d + 19. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.02 (c) -0.7 (d) 8 (e) 341 (f) 3 (g) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27017*q**2 + 9697*q.\nAnswer: -54034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c + 51. Let s(q) = 17302*q + 3. Give j(s(m)).\nAnswer: 121114*m + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*u**2*v**2 + 4*u**2 - 110*u*v**2 - 74*u*v wrt v?\nAnswer: -8*u**2 - 220*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-18)\/(l*l\/(l\/(l\/(l*l\/l**10)))))\/((l\/(l*l\/(l\/(l*l\/((l*l\/(l*l\/(l\/l**(-3\/4))))\/l))*l)))\/(l\/l**(-3))) assuming l is positive.\nAnswer: l**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - -13) + -14 - 2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -11*k**3 + 3*k**2 - 3*k - 1. Let t be n(1). Does 45 divide t - -7 - (-275 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 578 and 340.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from babbbjlyb. Give prob of picking 1 y and 1 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*k - 2 - 73 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2341252040 + 0?\nAnswer: -2341252040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**15\/o)**(-5\/6)*o**13\/(o\/(o**(-27)\/o)) assuming o is positive.\nAnswer: o**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z + 44*z + 20 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 8*b + 11*f = 15*f - 11, -25 = 5*b - 2*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*24\/(-6)*-4. Suppose 2*n + 434 = j*n. Let m = 537 + -352. Calculate the remainder when m is divided by n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64307*m + 7*d + 63 = 64302*m, 5*d = 3*m + d + 5 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.976753 milligrams to grams.\nAnswer: 0.003976753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (55\/(-60))\/(2\/(-6)). Find o, given that x*o + 1\/2 + 9\/4*o**2 = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/5*5*1. Suppose -875 - 695 = 314*t. Put 3, 6, t, y in descending order.\nAnswer: 6, y, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (9 + 1 + (-833 - -816)) - -35\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/120)\/(6\/10). Suppose -1\/6*x**4 + 0 - v*x**2 - 1\/3*x**3 + 0*x = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 802567 to the power of 1\/2, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f - 65. Suppose u = -3*w + 165, 0 = -3*w - 2*w + 3*u + 261. Let o = w - 35. Calculate the remainder when g(23) is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 427 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7546? (a) -2 (b) -0.74 (c) -4 (d) -14 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13985)\/30*-2*-3. Let j = a - -5520. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12368 - 6183 - 8*y**3 - 6187 + 6*y to v*y + a*y**2 + d + b*y**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11264 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 2\/109, 23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1593*n + 90252 = -907*n + 992*n - 454*n for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 511017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -951, -3, 0 in increasing order.\nAnswer: -951, -5, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 2*z + 34. Let p = 17 + z. Let j be (6\/(-4))\/(3\/(-20)). Solve u + 15 = 4*u + 3*r, p = 4*u + 2*r - j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/4 and -25\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/120 and -41\/215685.\nAnswer: 1725480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 438 - -1497. Does 43 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7697 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 918 and 4322658.\nAnswer: 38903922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 318023225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/12*w + 1\/12*w**2 + 23\/6.\nAnswer: (w + 2)*(w + 23)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5*i + 8. Calculate the lowest common multiple of (-10)\/(11 - 399\/35) and (-14)\/4*1*i.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3370 is divided by 665?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -83*w. Let y(q) = -125999*q**2. Calculate y(k(n)).\nAnswer: -868007111*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 347627048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + w + 31. What is the highest common factor of w and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 6*l**2 + 11*l + 30. Let i be c(-5). Sort i, -7, -6 in increasing order.\nAnswer: -7, -6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 176 and -0.48?\nAnswer: 176.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -47*d + 14 - 75 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9992\/(-3747)*7\/(-40).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -885, -1733, -2619, -3567, -4601, -5745, -7023, -8459?\nAnswer: -10077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17215 - 9636. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/119077 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -59.244 and 242.03.\nAnswer: 182.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/5)*s**2\/s)\/(s*s**(-1))**(-1\/2))\/((s**(-1))**4\/((s\/(s**(-5)\/s))\/(s\/(s*s\/s**(-5))))) assuming s is positive.\nAnswer: s**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccqc when four letters picked without replacement from ooqoqooqqcccooqo?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*f**3*p**2 + 290*f**3 - 726040*f**2*p**4 - 77*f + 100 wrt p.\nAnswer: -28*f**3*p - 2904160*f**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -2*c + q, 0 = c + c - 4*q + 200. Let w = c - -200. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.94834 and -154.\nAnswer: -152.05166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.75 and 0.3.\nAnswer: -5.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -365*q - 22*q - 1024*q + (-6*q - 3 + 3)*(3 - 2 - 3).\nAnswer: -1399*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71736112 divided by -4483507.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 62*b**3\/3 + b**2\/2 + 2*b - 6. What are the prime factors of s(-1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 163, 167, 175, 187, 203, 223?\n\"Answer: 2*n**2 - 2*n + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*p + 26 = 0, 3 - 2 = -4*z - 5*p. Let h = 33 - 35. What is the common denominator of (5\/z + h)*50\/10 and -25\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 996, 1, -0.02?\nAnswer: 996","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-294)\/(-1176)*-2*(12\/(-15)*1)\/2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 44 = 3*a, 12*a + 1 = -2*o + 7*a + 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3167*f = -67567 - 2026 + 12012 - 21594 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3558648 divided by -1.\nAnswer: -3558648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.117 + 0.017. Let l be 3*(1 + (-25)\/15). Which is the third biggest value? (a) l (b) 2\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) 9 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 + (3 - 1 + 0)*(-5 + 4 - 1))*(-y - 3*y + y).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272 by -17.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.193 (b) -1 (c) -1\/7 (d) 0.068 (e) -0.4 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63001*z - 26019?\nAnswer: 63001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 532a96 - -2?\nAnswer: 532a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 861.3 greater than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1606 + -1589. Solve -14 = -b*r + 10*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182 + -183.66. Let o = 0.04 - m. Let y = -174 - -1393\/8. Put o, 0.4, y in ascending order.\nAnswer: y, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = -8. Let j(b) = b**3 - 11*b - 3 + g*b**2 + 4*b**2 - 2 - b**2. Calculate the lowest common multiple of 1 and j(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 553 + -549. Suppose g = -5*r + 2, -5*r - 4 = -2*g + 30. Suppose 0*b = -3*b + g. Is d less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21840, -43681, -65522, -87363?\n\"Answer: -21841*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3 + d**3 + d - 2 + 0*d**3. Let j(c) = 3*c**3 - c**2 + 2*c + 1. Give j(q) - 2*z(q).\nAnswer: q**3 - q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*1)\/(-1)*4618\/935145.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18605 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394 = -21*t + 2000. Calculate the greatest common factor of t and 285.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1791139 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*y = -b + 22, -2*b + 2*y = -18 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 44*r - 57*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*c - 149*c - 560 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.4, -56.3, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-15) + 2 + 42\/70.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19906*r**4 + 2*r**2 + 9*r + 5809?\nAnswer: 238872*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 404461 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3 + (sqrt(684) - (1 + sqrt(684))) - -4*2*sqrt(684))**2 + (-3*sqrt(684)*-2 - (0 + 1 + sqrt(684) + sqrt(684) - sqrt(684)))).\nAnswer: -218955 + 1770*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - -38*80\/(-144)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 2, d: 2, r: 1, l: 1, n: 5}. Give prob of sequence rjl.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10044 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -3 + 3 - (0 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-110 + 104 - -71)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -31 + 0*y**3 - 26\/5*y**5 + 0*y**2 - 16*y + 0*y**4. What is the derivative of v(r) wrt r?\nAnswer: -104*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34511301.\nAnswer: 3, 11, 47, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 - 1695*k.\nAnswer: k*(k - 6780)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*g + 28622 = -34*g - 40*g. What is the remainder when g is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + -1*(sqrt(125) - (sqrt(125) + 0)) + 0 + sqrt(125) + sqrt(125) + 0 + -4)**2.\nAnswer: -80*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 1)*(-129)\/(-215)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(144) - sqrt(144)) + sqrt(16))\/(-6*sqrt(8)*-1).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 190\/73 at least as big as 957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -80629*f. Let v(h) = -7*h**2 + 159*h. Give t(v(y)).\nAnswer: 564403*y**2 - 12820011*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425.18 rounded to the nearest ten?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632893*-0.1.\nAnswer: -63289.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1082*w - 1602*w - 20280 = 0 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*s - 359137 + 371062 = 0 for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**7\/168 - f**6\/120 - f**3\/6 + 5*f. Let h(p) be the second derivative of o(p). Find the third derivative of h(n) wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -507 or -508?\nAnswer: -507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 5\/69?\nAnswer: 5\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 11093747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432 a factor of 154961016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 1. Let g(h) = -7*h + 5. Let d(s) = -g(s) - 6*j(s). Suppose -161*a + 24 = -167*a. Determine d(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t + 4. Let j be o(3). Let u = 1 + 2. Let g = -1.5 - -0.5. Which is the nearest to g? (a) u (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 194 + -227. Sort -2, l, 4, 0 in decreasing order.\nAnswer: 4, 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8917160 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + 50?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Suppose -f + 46 = x*b + f, -5*b + f = -55. Suppose -112 = -5*v - b. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -32*d + 9*d. Solve d = -s + 8 - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 + 9318*z + 3061008.\nAnswer: 3*(z + 348)*(z + 5864)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -3076705?\nAnswer: 3076703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0.1, 0.05, 1.3, 35, 1.\nAnswer: 0.05, 0.1, 3\/4, 1, 1.3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 375484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4, -24*w + 27*w = h + 2508. Which is bigger: h or -2495?\nAnswer: -2495","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5832*x + 180768. Calculate d(-31).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o - 59. Let v be t(10). Let a be (-6)\/4*v\/3. Which is smaller: a or 0.052?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v + u = -123, -3*v + 365 = -4*u. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(144) + sqrt(144) + sqrt(144) + sqrt(144))\/sqrt(6) + sqrt(24))\/(sqrt(392)*-3).\nAnswer: -2*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-7\/2))\/(n*(n*n*n\/((n\/(n\/n**(-6\/17)*n))\/n))\/n*n) assuming n is positive.\nAnswer: n**(-301\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a1917 - 2?\nAnswer: -a1919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - j = -15, -4*i - 123 = -3*j - 142 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 5152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dumcudd. Give prob of picking 2 d and 2 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01032, 0.5, -34\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 320840*l - 6433644100.\nAnswer: -4*(l + 40105)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 4*f - 3. Let s be x(-2). Is 3*2391*s\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346799072.\nAnswer: 2, 10837471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 577 = 731 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1284563349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 129b1 (base 14) in base 16?\nAnswer: b2ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1968*m**3 + 76*m**2 - 397902061*m wrt m?\nAnswer: 11808*m + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 76. Suppose 4*q - s = -1, -3*q + 3 = -3*u. Let z(o) = 128*o**2 - 3*o + 8. Is z(u) 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 ppannbbt. Give prob of sequence pb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10925241, 10925240, 10925239, 10925238?\n\"Answer: -j + 10925242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.089339 times 6\nAnswer: 0.536034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4696671 divided by 223651\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 898412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41612073?\nAnswer: 3, 17, 815923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359119497?\nAnswer: 3, 11, 10882409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33058 + 63552. Is 45 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-15) + 57\/15. Suppose 0 = -6*f + 2*f + o. What is the nearest to f in -4, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49469 is divided by 24722.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6) - 28\/6. Suppose 13*y = r + 9*y - 20, 2*y = 2*r - 16. What is the biggest value in b, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 14452, 0, -4 in decreasing order.\nAnswer: 14452, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = -2. Let u = k - -2. Suppose -5*w = 3*q - 1586, q - 316 = 4*w - u*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -3) + (-1 - (16 + -12)) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**4\/24 - 26*a**2. Let i(y) = -3*y + 3*y + 6*y. Give l(i(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003772 to 5 dps.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/(-4) + 4\/(-8). Let o(q) = -2*q - 10. Let j be o(s). Let i(v) = 6*v - 3. What are the prime factors of i(j)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1191\/24 + (837\/(-72) - -12). Solve -11*s - u = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6343 (base 7) to base 5\nAnswer: 32421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + u**2 + 0)*(0*u + u + 13*u)*(-1 - 1 + 1).\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 4*sqrt(405))*1 + -5 + sqrt(405) + (sqrt(405) + (sqrt(405)*-1 - sqrt(405)) + 4)**2 + (sqrt(405) - (sqrt(405) + 1)) + -4.\nAnswer: -18*sqrt(5) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30\/41 - 232\/205. Which is the nearest to -0.1? (a) -0.3 (b) 12 (c) 1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + d553?\nAnswer: d553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1293 + -1294. Which is the closest to 1\/26? (a) 5 (b) -0.1 (c) -2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*u - 522 = u, -5*c - 4*u + 1287 = 0. Suppose 3*r + 75 = c. Suppose -17 = s - r. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 29*o - 15*o. Suppose -o*x = -41 + 11. Solve 0*g = x*g + 3*n + 17, 5*n = 2*g - 23 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**7\/210 + 29*k**6\/120 - 53*k**5\/10 + 112*k**4\/3 - 304*k**3\/3 + 2*k**2 - 111*k. Factor r(a).\nAnswer: (a - 4)**2*(a - 1)*(a + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b**3 - 10*b**3 - 12*b**3 + 37*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.614227 + 17.622. Round q to four dps.\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*z - 4781. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 222*i - 939. List the prime factors of h(131).\nAnswer: 3, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from {z: 4, l: 14}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/71? (a) -5 (b) 3\/7 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/14)\/(2\/(-14)). Let w be (9910\/o)\/((2\/4)\/1). Let y(t) = -1982*t + 7*t**2 + w*t. Let x(a) = a. Calculate y(x(d)).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 8*n + 3. Let f be p(-8). Suppose 0*d + 2*i + f = d, -15 = -5*d + i. Suppose 35 + d = 2*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 10444*g - 2*g**2 - 10444*g)*(-465 - 25*g + 465).\nAnswer: 50*g**3 + 1575*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -143\/3. Put z, -5, -36, 4 in increasing order.\nAnswer: -36, -5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -545*i + 10083 - 783 = -7595. Calculate the greatest common divisor of 310 and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65878 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: Simplify sqrt(88)\/(sqrt(40)\/(sqrt(25)\/sqrt(5))) + 3 + (sqrt(11) + (-3*sqrt(11)*6 - sqrt(11)) + sqrt(275) + -3)**2.\nAnswer: 79*sqrt(11) + 1871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -64 in -5, -0.5, 6, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 27, 3, -6, 19 in decreasing order.\nAnswer: 27, 19, 9, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/(-3)*(0 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 10. Let q be t(0). Suppose r + 2*b = 3017, -q*r + 12*r + 2*b - 6036 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -247*64\/(-416) - 35. Determine h so that 1\/3*h**y + 1\/3*h**2 + 0 - 4*h = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1931*l**3 - 1974*l**3 - 1969*l**3 - 1971*l**3 + 7837*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 - 14*k - 14. Let r be -1 + 272\/(-40) + (-180)\/(-100). Let j(v) = 6*v + 2*v - 3*v + v**2 + 5. Calculate r*n(g) - 17*j(g).\nAnswer: g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 3*a - 1. Is 12 a factor of b(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*c + 2 = -5*c, -a + 22 = 3*c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -27279.\nAnswer: 8183.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1144256 and 304?\nAnswer: 1144256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058930111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 + -5 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.4 + 5.4. Which is the third smallest value? (a) -1 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d + 4. Suppose 0 = 4*v + v + 15. Is 25 a factor of f(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -158744\/25 - -6348. Let x = v - -108\/175. Sort x, 17, -2\/13 in descending order.\nAnswer: 17, -2\/13, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10554.\nAnswer: 2, 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + x**2 + 26*x - 60. Let l be g(3). What is the closest to 1 in 3, 0.2, -141, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.5, -2\/11, 517 in ascending order.\nAnswer: -2\/11, 2.5, 517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -5, -2\/7, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**5\/20 - 7*w**4\/6 - 7*w**3\/6 + 8*w**2 + 2*w. Let k be y(-12). What is k rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**(3\/29))*u*u)\/(u\/u**(-42\/11)))\/((u**26*u)\/u**4) assuming u is positive.\nAnswer: u**(-7884\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k. Let s(o) be the first derivative of -37*o**2 + 386. Determine p(s(h)).\nAnswer: 148*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - -2) + -4 + (2 - 2). Suppose 0 = 2*n - 8, 4*n + 7572 = s*v - 0*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36396?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.2. Suppose 5*j - 80 = -2*n, 4*j = 4*n - 8*n + 76. Let x(m) = m**2 - 14*m - 7. Let l be x(j). Which is bigger: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 1. Let i(h) = 5. Let g(r) = -i(r) - 5*l(r). Let n(j) = -3*j. Calculate g(n(o)).\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-18 + 39 + -20).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 = -0*i. Suppose -i*r + 68 = -8*r. Let h = -13 - r. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 2*m - 1 - 1)*(3*m - m - 4*m)*(-61 + 167 + 112) to n + f*m + k*m**2 and give k.\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/9 - 6009986*f**3\/9 - 2006661537790*f**2\/3 - 2009994602588242550*f\/9 + 4020013285163018500\/9.\nAnswer: -2*(f - 2)*(f + 1001665)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84 or -46934?\nAnswer: -46934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/2 + -6)*44\/33?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/((-6)\/(-105)*-10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 83 = -3*q. Solve -10*i + 22 + 18 = q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/453906 and -61\/152512416.\nAnswer: 152512416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.18, -0.3, 5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14010889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c. Let v(k) = -3*k. Let n(s) = -3*v(s) - 5*w(s). What is n(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -627*z**4\/4 + z**3\/3 + 6. Let l be s(-1). What are the prime factors of l\/16 + (-3)\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**4\/90 + 13*m**3\/45 - 276*m**2\/5 - 334*m - 10. Find k such that t(k) = 0.\nAnswer: -36, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(2\/3)*u\/(u\/(u*u\/(u**(-2\/7)\/u*u))*u)*(u*u**(2\/17))\/u assuming u is positive.\nAnswer: u**(263\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1813340, 3626821, 5440302, 7253783?\nAnswer: 9067264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 32*h + 34. Let f be y(17). Let j be (49 + f)\/(22\/(-44)). Is j equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - 94\/((8008\/66)\/(-26))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/o*o*o**(4\/7))\/(o**0)**38*((o*o\/o**(-6))\/((o**(-1\/2)*o)\/o))\/(o**(-1\/2))**(1\/18) assuming o is positive.\nAnswer: o**(1537\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h\/h**(-2)*h*h*(h**(-6)\/h)\/h*h\/(h\/h**1))**(-8\/3) assuming h is positive.\nAnswer: h**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h**2 - 387*h - 154. Let a be x(-77). Factor 4\/9*y**2 + a - 2\/3*y**3 + 0*y.\nAnswer: -2*y**2*(3*y - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11148 + 17*f - 11148 + 10*f**2 in the form b*f + q + c*f**2 and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 7*t + 7. Let a be h(5). Let f(j) = 1. Let v(s) = s**3 + 4*s**2 + 3*s - 8. Let m(d) = -5*f(d) - v(d). Is 3 a factor of m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 60 = -9*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*(1100\/(-15))\/(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p = -20. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*j = -1424, -5*s - 5*j - 912 = -8092. Suppose 7*w = 5*w + d + 960, s = 3*w + 5*d. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4 - 6 + 6*h - 4*h. Let l be t(-2). Calculate the common denominator of (-273)\/(-99) - 2\/l and -64\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(49)*-2)\/sqrt(7) + 3 + (-4 + (sqrt(343)*1)**2 - sqrt(343)))*-6.\nAnswer: -2057 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 53 = -2*c + 5*j, -4*j + 68 = 2*c. What is the greatest common divisor of c and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 0*i - i + (0*i + 3*i + 3*i)*(3 - 1 - 1) + 0*i - 2*i + 3*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/14)\/p)**(6\/7)*((p*p*p**12\/p*p)\/p*p)**(-13) assuming p is positive.\nAnswer: p**(-8969\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106294*m + 37083*m - 248132*m.\nAnswer: -317343*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54702 and 1117339.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 5*h**2 - 6*h - 3. Let b be n(6). Put b, 0.1, -0.2 in ascending order.\nAnswer: b, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 87, 171, 255, 339, 423?\n\"Answer: 84*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4)*-3)\/(15\/10)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {k: 1, w: 5, s: 14}?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8855 - -8842. Which is smaller: -10.6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25.9 or 212?\nAnswer: 25.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -13989?\nAnswer: 13988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12481 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2 - 3*z**2 + 3 + z**3 - 3. Let g be ((-73)\/365)\/(1\/(-50)) - 7. Determine v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txnxjxxxjjjxjx. Give prob of sequence tnx.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369751518.\nAnswer: 2, 3, 983, 20897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 27453627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6611.\nAnswer: 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1524, 1622, 1718, 1812?\nAnswer: 1904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(32\/(-1860)) - (-4 - 0). What is the common denominator of -55\/194 and 4 + m\/(-126) + 6?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 4, -2, -10, -20?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465*f + 494*f - 145 = 0. Solve -f*r = 2*y + 46 - 61, 21 = r + 4*y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137*b + 384 - 384 + 18*b)*(3*b - 2*b + 2*b).\nAnswer: 465*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 1\/32 (c) -0.1 (d) -0.3 (e) 0.015 (f) 5 (g) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*g + 31 + 0*g**3 - 31 + g**3 to n*g**2 + r + p*g + y*g**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -56*b**3 + 17*b**2 - 7*b + 4. Let u be i(-13). Round u to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 + -214. Which is the nearest to -1? (a) -1 (b) s (c) 165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 131. Let q = 55.6016486716 + -0.6016490516. Let j = q + g. Round j to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3, -4*m + 24 = u + 22. Calculate the common denominator of ((-1422)\/(-12))\/(24\/u) + 4 and 69\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/84 and -131\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14274 by 9.\nAnswer: -1586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.17 (c) -3.5 (d) -4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.189 times -4\nAnswer: 0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 26*z + 2*y - 6 = 0, -y = -3. Let s be 1\/3 - 8\/(-3). Is s less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.0362, 0.4, 0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-2)\/(-6)*0. Let m = c + 2. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.451 and -371?\nAnswer: 538.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -15*a - 12*a + 24*a. Let t(s) = 447 - 447 - 7*s - 7*s. Calculate t(i(x)).\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(-2*sqrt(4)) + (sqrt(8)*1)**2 + (sqrt(16)\/sqrt(128) + sqrt(2) + sqrt(128)*-1)**2.\nAnswer: -sqrt(2)\/2 + 793\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 4, v: 7, i: 3, k: 1}. Give prob of picking 1 k, 1 n, and 2 i.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17455910 to the nearest integer?\nAnswer: 4178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45.044072 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**5 + 3*a**4 - 3*a**4 + (-2 + 2 + a**3)*(-2*a**2 - a**2 + 4*a**2) + 3*a**3 - 3*a**3 - 2*a**5.\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*5*(-1)\/15\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2872713 is divided by 9237.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. Suppose -10\/9*j**4 + 0*j**2 + a*j + 8\/9*j**5 + 0 + 2\/9*j**3 = 0. What is j?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 22, 78, 3, 1 in increasing order.\nAnswer: -4, 1, 3, 22, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 41, 52, 65?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1232)\/24)\/((-2)\/3). Calculate the highest common factor of 22 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*19\/(-19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41 and 11\/62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6 = 5*j - 3*j, -6 = 3*j. Calculate the lowest common multiple of 8 and p\/((-4)\/(-16)*4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -17*s - 17 + 3*s + 8*s. Let u be r(-3). Does 20 divide -430*u\/4*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6682.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 + 48. Let j = b + 74. Suppose -2*w + 2*i = 6, 0*w = j*w + 3*i - 9. Solve w = -4*g - g + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -525354?\nAnswer: -525400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 13*x**4\/24 + 9*x**2 - 1. Let v(t) = 2*t. Give c(v(l)).\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7785 - 7735. Solve 3*u + 2*u - 4*z = d, -3*z - 21 = -u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 8*x + 4. Let i(q) = -q**3 + 10*q**2 - 8*q - 3. Let t be i(9). Let a be r(t). What are the prime factors of (-2)\/a + 3519\/68?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/3 + (-8)\/(-12). Let m be 2 + w + 2\/1. Suppose 0 = m*n - 7 + 1. Which is the third smallest value? (a) -5 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.100487 to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 - 19*c**2 - 2*c**2 in the form v + u*c**2 + r*c and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 1\/2 (b) 2\/23 (c) -5\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-333)\/4995)\/(2\/(-18))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 82*h**2. Is f(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -11. Let l = 48 + -47. Let y be (-12)\/8*(-2 - 2\/l). Solve v - 8 = -k*b, -3*v - 2*b = -5*v + y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(0 + 0 - 7)*(-2*m + 0*m + 27 - 31).\nAnswer: 14*m + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:20 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*d**3*v**2 + 2*d**3*v + 19 wrt v.\nAnswer: -72*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3 - 11*z + 11 - 3 + 13*z**2 + 4*z**2. Let p(x) = 9*x**2 - 6*x + 6. Calculate -11*p(q) + 6*y(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + (2*sqrt(2736))**2 + 4 + -5.\nAnswer: 12*sqrt(19) + 10943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32281 is divided by 167.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 195 and 2685?\nAnswer: 34905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 17*v - 11. Solve v*o = 6*o - 3*w - 16, 5*o + 22 = -w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -270 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*u + 1. Suppose 2*m = u + 5. Let k(f) = -f - m + 3. Let q(l) = -4*l**2. Give k(q(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (-2*1*sqrt(117) + sqrt(117)) - sqrt(117)) + (5*(sqrt(117) - -1*sqrt(117)) - sqrt(117)))\/(-6*(sqrt(900) + sqrt(900)*1)).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -457 + 459. Suppose 3*d - 3*m - 6 = 0, -3*m - i*m = -15. Which is the third biggest value? (a) -4 (b) d (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8396?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 9:29 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*p - 39*p + 81*p - 2*p**3 - 14*p**2 + 6.\nAnswer: -2*p**3 - 14*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1275106 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10103320 (base 4) to base 8\nAnswer: 42370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + 3 = -20. Suppose 0 = -145*t + 141*t - 20. Put -13, a, -2\/3, t in decreasing order.\nAnswer: a, -2\/3, t, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 549?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.9 + -19. Let p = x - 10.9. Let y = -6 - p. What is the second biggest value in 2, y, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114554, 114586, 114676, 114854, 115150, 115594, 116216, 117046?\nAnswer: 118114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5996528236 to the power of 1\/2, to the nearest integer?\nAnswer: 77437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + a**2 - a + 1. Suppose 2*d = -3*w + 39, -3817*d + 2*w = -3816*d - 30. What is the remainder when t(-4) is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 245?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1824 and 73664?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -195*d**3 + 15. Let r(m) = -14*m**3 + 1. Let j(t) = 4*b(t) - 55*r(t). What is the derivative of j(f) wrt f?\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**4\/2 - d**3\/3 + 3*d**2\/2 - 3*d - 453. Determine o(3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from xqnqqnqqxqjqxjxnnn?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 52 = -2*j, -j - 2*n = -3*j + 54. What is the units digit of 1420\/j - (-2 + (-24)\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 - -2 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36772*-191\nAnswer: -7023452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -1 + 0 - 0. Let m be f\/(-9)*3*4. Suppose -m*g - g + 165 = 0. Calculate the remainder when g is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 192967 = x, -66*x = -59*x - 21. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**2 + 5*v + 6. Let q be l(6). What is the tens digit of (6\/12)\/(3\/q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11448?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/5)*i**(-2\/3))\/(i**(-1))**8*(i**(-2\/7))**(4\/27)\/(i\/(i*i\/((i*i\/i**2)\/i*i))*i**(-3)\/i*i) assuming i is positive.\nAnswer: i**(11426\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0027714349 rounded to 6 decimal places?\nAnswer: -0.002771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**5 - 309*i**2 + 78682*i wrt i?\nAnswer: 80*i**3 - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - (-23 - (18 + -11 + -14)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3433 or 3431?\nAnswer: 3431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4 + 36*s**3\/7 - 75*s**2\/7 + 18*s\/7 = 0. What is s?\nAnswer: -3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 30 = 9*t + n, 18 = t - 2*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 146999*a + 1. Suppose 3*v + v = 0. Suppose 0 = i - v - 1. Let w be c(i). What is w rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**6\/120 + q**5\/5 + q**4\/24 + q**3\/3 + 3*q**2. What is the lowest common multiple of p(12) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 1. Let k(w) = w**2 + 20*w + 16. Let s(c) = 6*a(c) - k(c). Let f be s(-13). Solve 6*x - f*x - 15 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*b - 88*b + 177*b - 25 = 2*u, 17*u = -51 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 160266094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2379, 9544, 21493, 38226?\n\"Answer: 2392*b**2 - 11*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -531967\/150804 - 1\/4189. Let z = -193\/62 - -6005\/744. Find the common denominator of l and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 5*j + 11*j + 2*j.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2615 times -0.01\nAnswer: -26.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1451401878 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = y - 1, 3*y + 18 = 7*y - 2*m. Sort 8, -3, y, 2 in increasing order.\nAnswer: -3, 2, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29 and 384\/16*2\/8?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 269500 and 116.\nAnswer: 7815500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 584 and 8906.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3059805083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 161079957 a multiple of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 - 42. Suppose q - a = -5*q. Solve -q = -m + 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-3)**2 - sqrt(3) - (sqrt(864)\/sqrt(2))**2.\nAnswer: -sqrt(3) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 + -237. Let n be (1\/5)\/(6\/d*-21). What is the fourth biggest value in 1, n, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 12 = -4*a, 0 = -a - a + l + 6. Suppose 4*q - 682 + 34 = 4*w, 5*q + a*w - 842 = 0. List the prime factors of q.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k + 4*m = -55, -5*m = 0. Suppose -o = 3*x - 11, 0 = -4*x + 5*x + 4*o - k. Solve -x*t + 4*t = -2*y - 3, -5*t + 4*y + 13 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10101012 + 0?\nAnswer: 10101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1027 = -26*z + 18395. Let s = -694 + z. What is the remainder when 57 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u. Let b(o) be the second derivative of -19*o**4\/12 - o**2\/2 + 458*o. Determine f(b(p)).\nAnswer: 114*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7251 - -2.2749. Let o = 9 - 10. Which is the biggest value? (a) 0.5 (b) w (c) 73 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = -5*s + 11*z + 13, 184*z - 181*z = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*r**5 - 209645*r**4 - 6*r**3 + 101075*r**2 - 983?\nAnswer: -1620*r**2 - 5031480*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -9\/2265700?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -9. Let k = 3.89 - 3.9. Sort j, -1\/2, -0.3, k in decreasing order.\nAnswer: k, -0.3, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - 0.018. Round p to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*d - 0*v + 2*v, 3*d = -5*v - 25. Let j be 32\/10 + 2\/d. Find the first derivative of j + 0 - c**2 - 4 - 3 wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021723 is divided by 3059?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 12*r + 11. Let o be z(13). Suppose -18*m + 6*m = -o. Factor -8\/3 + 2\/3*k**3 + 16\/3*k - 10\/3*k**m.\nAnswer: 2*(k - 2)**2*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.821714 - 1.94171342. Let f = d + 0.12. What is f rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125 + -122. What is the highest common divisor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 773 + -515. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-30)\/18 - (-2815)\/15.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 4*p - 8. Let q be k(6). Suppose -2*f - 3*o = 5, 3*f - 5*o = -2*f + 50. Solve 0 = -4*h + f*r, 0 = r + q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(1\/3)*r*r*r*r))**(1\/21))**13\/(r**(5\/6)\/r**3)**(-10\/3) assuming r is positive.\nAnswer: r**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 5 + 7*z + 5*z + z**2 - z to b*z + o*z**2 + d and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:00 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221077.1 + -221077. Let t(w) = -w**2 + 3*w - 4. Let r be t(3). Which is the nearest to z? (a) -2\/25 (b) r (c) -1\/6 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -863, -88, -3, -1 in descending order.\nAnswer: -1, -3, -88, -863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43.46 - 43.86. Let z be (-1)\/(-2)*(-6)\/7. Sort l, z, -4\/13 in increasing order.\nAnswer: z, l, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 462.2 + -462. Which is the fifth smallest value? (a) 2 (b) -4 (c) 4 (d) -1.1 (e) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3199 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, l: 1, g: 1, d: 1, a: 2, q: 2}. What is prob of sequence aa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 198?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264107541 divided by -177.\nAnswer: 1492133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 349415, 349416, 349417, 349418, 349419?\n\"Answer: i + 349414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3 + 2656*z**2 + 1763584*z = 0?\nAnswer: -1328, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303471386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62936 is divided by 2155.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = 432*f - 264*f. Suppose -5 = -0*t - t. Solve -t*j = 5*x - 15, 2*x + 2*x - 5 = f*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 1, g: 5, o: 5, n: 2, r: 5}. Give prob of sequence ogo.\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9194479\/20112 + -19\/6704. Let z = -6748\/15 - h. Let j = -1005\/2 - -1487\/3. Find the common denominator of z and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6524 (b) -3 (c) 0.1 (d) 3\/7 (e) -55 (f) -9 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = n - 5, 8*u + 4*n - 2 = 10*u. Suppose 2 = -0*m + m. Solve -m*j - u = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -15. Let h be -4 + 0 - (p + (-240)\/35). Put -32, -1\/3, h in ascending order.\nAnswer: -32, -1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 3 + 18)*(-211*u**3 + 110*u**4 + 211*u**3) + 2*u**4 - u**4 + u**4 to the form o*u + p*u**3 + c*u**4 + h + a*u**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 14*g + 74 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-3)*(-4)\/(-6). Let f(k) = 40*k. Let z(b) = b. Let i(p) = x*f(p) - 90*z(p). Let v(s) = -s. Calculate v(i(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b*b**15*b*b*b)\/(b\/(b**(-1\/9)*b)) assuming b is positive.\nAnswer: b**(197\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -27. Let y(k) = 3*k**2 - 3*k + 1. Let m be y(1). Suppose -3*v = s + m - 10, 3*s + 13 = v. Solve -3*g = 4*f + 7 - 3, 5*f + 4*g + v = l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d - 8*d**2 - 2*d + 8*d.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 - -0.70082. What is i rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 4*n**2 + 3*n + 1. Let o be t(-2). Suppose -3*y = 2*y - o*u + 22, 3*y + u + 2 = 0. Let x = 485 + -484. What is the closest to -1 in -0.4, y, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - o = -0*h - 1006, 2*h + 662 = 5*o. Let v = 815 + h. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t + 10 + 7*t + t - 8*t**3 + 0*t - 2*t**3 to the form d*t + i + f*t**3 + o*t**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74888 and -0.084.\nAnswer: -6290.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*j + 32, 0 - 53 = -3*j - 2*l. Let d(x) = -1606*x**2 + 10*x - 10. Let i be d(j). Let v = i - -133974. Round v to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, j: 4, l: 3, a: 1}. Give prob of sequence la.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18264 and 153222?\nAnswer: 466407768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (20\/20)\/(0 + (-1)\/3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 115 = 5*f + 5*u, 0 = -3*u - 15. Find the third derivative of -35*m**4 - 38*m**2 + 2*m**5 - f*m**4 + 67*m**4 wrt m.\nAnswer: 120*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h*h*h*h\/(h*h*h\/(h*h**(-9)*h)))\/h)*h*h*((h\/h**(-14))\/h)\/h*h assuming h is positive.\nAnswer: h**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10652*t**6 - 12*t**5 + 80*t**2 + 1075*t?\nAnswer: 1278240*t**3 - 720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831*v - 838*v + 49 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40070 and 4391672.\nAnswer: 21958360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 22410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 30*c + 1651 = -241 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 - 8382722*w**2 + 8382722*w**2.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566 = 1010*w - 17531 - 1215 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 15) in base 5?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 980358247 and 1409.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 6:10 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z - 24. Calculate g(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/25 + (-49)\/5. Let k = p + 12. Solve 6*o - 4 = k*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 198993 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 8\/141 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9 + 1955*t**2 + 1980*t**2 - 3902*t**2. Let u(y) = -17*y**2 - 4. What is 4*f(q) + 9*u(q)?\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 7*v + 168 = 0. Calculate the remainder when 61 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 346*w**6 + 2*w**3 + 216*w**2 - 2 wrt w?\nAnswer: 41520*w**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a**2. Let p(y) be the first derivative of -10 - y**2 + 22 + 0*y**2 - 10. Determine p(k(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103173 - 103173 + 45*i.\nAnswer: 45*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 144607 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 4 + -2 + -3. Suppose y*l = 4*f - l - 307, 0 = 4*f + 4*l - 272. Let g = f - 48. Solve -5*p = -g, 6 + 7 = 4*w + 5*p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 26249, 56 in ascending order.\nAnswer: -1, 56, 26249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 418*d - 22923. Give b(65).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 39510*o + 237038. Give u(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10331*q**4 - 5*q**3 - 2*q + 74462 wrt q.\nAnswer: -41324*q**3 - 15*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.24195um to millimeters.\nAnswer: 0.07424195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -2, 8 in decreasing order.\nAnswer: 8, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**4\/18 + 4*f**3\/9 + 3*f + 11. Let p(o) be the first derivative of b(o). Solve p(d) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.88 and 3230.\nAnswer: 6072.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 5*l + 8. Let u be o(6). List the prime factors of (0 - u)\/(-1) + 16.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166918.\nAnswer: 2, 83459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -124079 (base 13) to base 5\nAnswer: -102443203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + a**3 - 14*a**2 + 14*a**2 + 12*a**2 as t + b*a**2 + n*a + p*a**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -3)*(-2)\/66. What is the biggest value in 1, -0.2, h, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - d. Let l be j(0). Suppose -2*x - 20 = 4*o, x - 2*o + 4 = 14. Is x at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -1\/4*y**4 - 5*y + 3*y**2 + 7\/3*y**3 + 1. Is q(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) 0 (c) -0.064 (d) -15 (e) -3 (f) -5 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 23 = 6*v - 2*v - 5*l, l - 401 = -169*v + 33*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + h - 60 = -88, -6*g + 75 = -3*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.83 - 0.53. Let j = 5.3000115 - y. What is j rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*f**2 + 32*f**2 - 73*f**2.\nAnswer: -97*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -49*x**4\/24 - x**3\/6 + 385*x**2. Let b(u) = -17*u. Calculate b(c(i)).\nAnswer: 833*i + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20211 (base 3) to base 7\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**4 + 105*m**3 + 485*m**2 - 105*m - 490 = 0. Calculate m.\nAnswer: -14, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 12. Find the first derivative of 4*v**3 - h*v**3 + 1 - 3*v**3 wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 40 = 4*n, 4*n - 21 = 3*y + 14. Let u = 85 + -81. Let k = 2 - -1. Solve 0 = -u*a - k*j - 10, -22 = -2*a + n*a - 5*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a millimeter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b**2 - 71*b**2 + 22*b**2 + 20*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + c = 38, -4*m - 16 - 30 = 3*c. Find the common denominator of m\/(-11)*5\/2 and 2*((-6)\/9 - -2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, a: 6}. Give prob of sequence alla.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 3*r - 4. Let t be q(-4). Let j be (5 - (2 - t))\/1. Find the second derivative of 0*f - f**3 + f**j + f + f**5 wrt f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 less than -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-9))\/((-4)\/(-30)). Suppose 4*x - 6*x + r = 0. Is 5 != x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, -2, 3, 2 in decreasing order.\nAnswer: 3, 2, -2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c. Suppose -2*d = 6 - 12. Suppose -5*b = 2 + d. Let o(t) = 4*t - 4. Let v(m) = m + 1. Let l(n) = b*o(n) - 4*v(n). What is l(k(y))?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + (3 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35978103 by -43191.\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 11) + 4 + 4. Suppose -8*s = -b*s - 1248. Calculate the highest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 25. Let c = v + 29. Let l = c - -16. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 99.42059?\nAnswer: -104.42059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 + 173 + 188 - 3*o**2 - 737 + 184 + 192.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*g + 10, 5*g - 6 = -0*p + p. Let o be ((-45)\/12)\/(p\/(-4)). Let c be (-17)\/o + 2\/(-6). What is the second biggest value in -1, c, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - (-324 + -5) - -5.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0 - -2) + 15. Let k be 32\/n - 2\/(-9). Solve 5 - 2 - 4*a - 3 + 2*a**k = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**12\/y)\/y**(-2))\/(y**(-2\/45)*y*y\/y**(-42)))**(12\/11) assuming y is positive.\nAnswer: y**(-5572\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -0.01 (b) -3 (c) -5247 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2823359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.03072, -4, -737 in descending order.\nAnswer: 0.3, 0.03072, -4, -737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.5535\nAnswer: 2.7675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 497435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25 * -1114\nAnswer: -27850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39198, -39201, -39206, -39213, -39222?\n\"Answer: -u**2 - 39197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.2, 0, -4\/27, -4?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 189 - 178. Suppose 2*t - k + 7 = 0. Solve -14 = -q + t*o, 2*q = 4*q - 2*o - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-150)\/(-20))\/((-3000)\/400). Let z(q) = -6 + 2 + 0*q**2 - 4*q + 2*q**2. Calculate z(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 139*z. Let m be d(1). Let i = m - 1255\/9. Let h = 2.2 + 0.8. Which is the second smallest value? (a) i (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29120)\/(-17472))\/((-95)\/6)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1310331220?\nAnswer: -1310331231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**14)*(p**(1\/2)*p)\/p*p)**(-2\/21)\/((p**(3\/5)*p)**(-8\/3))**37 assuming p is positive.\nAnswer: p**(16421\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 7*q**2 + q - 7. Let l be s(7). What is the closest to l in 0.04, 2, -2\/13?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**3*z - 46*m**2*z - m**2 - 2*m*z - 408*m - 3*z wrt m.\nAnswer: 6*m*z - 92*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -60.94. Which is smaller: 1\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(117) + 3 - (sqrt(52)*3 + (sqrt(1053) - (sqrt(1053)*-1 + sqrt(1053)) - sqrt(13)))**2).\nAnswer: 3*sqrt(13) + 2545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 787 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/9 (c) 4 (d) 220\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and (-11)\/(-3)*(-4 + 7)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 64 + 16 = 0. Solve 4*v = -h + 12, d*v - 4*h = 3 + 33 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -138.2915432 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 - 7*z**2 + 23070*z - 115368. What is h(5)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -341385 and -0.0155.\nAnswer: -341385.0155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.73 + 3. Let z = 0.07 - d. Round z to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-48)\/(-161)) + -155*(-92)\/1426\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 17 = -5*g + 7, -5*g - 35 = -3*r. Which is the third smallest value? (a) r (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 divided by -155?\nAnswer: -171\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2148, 8560, 19242, 34188, 53392?\n\"Answer: -h**3 + 2141*h**2 - 4*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9 = 0, -46*a - 5*b + 3 = -49*a. Put -1, a, -9 in descending order.\nAnswer: a, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*q = -25, 0 = 4*l - 0*q - q - 57. Let y be (10 - l)*2\/4. Is 30\/(-40)*(-46 + y\/(-1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 99660.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -485 + 486. Let b be 6\/(-10)*k\/(4\/5). Let g = -0.1 - -0.2. What is the third smallest value in g, -6, 3, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -14*k**2 - 1. Let q(o) be the third derivative of 19*o**5\/60 - 7*o**2 - 39. What is q(r(p))?\nAnswer: 3724*p**4 + 532*p**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n**2 + 2 - 5 - n + 2. Let m be i(-1). Let v be (2 - 0\/3) + m. Solve 5 = 2*k + b, 5*k - b = -0 + v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.1 (b) 2\/11 (c) -144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38 + 2*c**4 - 38 + (-3*c**3 + 3*c**3 + c**3)*(-2*c - 5*c - 8*c).\nAnswer: -13*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33986, 135806, 305500, 543062, 848486, 1221766, 1662896, 2171870?\nAnswer: 2748682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*n - 384*j + 8*n**3 - 2*n wrt n.\nAnswer: j + 24*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4348 + 339. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4564 and 254947648.\nAnswer: 1784633536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -201 (base 7) to base 3\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - k**2 - 3*k)*(5*k + 5*k + k + (-3*k + 4*k - 2*k)*(-4 - 2 + 5)) to b*k + s*k**3 + n*k**2 + g and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 - -3.81. Sort -1, z, 3, -5 in descending order.\nAnswer: z, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 h when four letters picked without replacement from chchhchhchhhchhh.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -179 (b) 0.3 (c) -3\/2 (d) 0.5 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 2 + (5 - 2 - 1)*(-4 + 4 - 1) + 3 + 1 - 3 + 7 - 3 + 12)*(9*o - 4*o**3 - 9*o) as k*o**3 + c*o**2 + z*o + a and give k.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 1 + 23*u**3 - 20*u**3 as s*u + y*u**3 + h + x*u**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 394975093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 40 = -792*v + 814*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 2 = -9*l + f, 4*l = 3*f + 17 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 12*d - 279 = -67*d - 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*l**2 - 43*l**2 - 206*l**2 + 151*l**2 + 5*l.\nAnswer: 7*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2074 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-113)\/(-2))\/(328\/16) + -3. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (-64 + 27 - -44).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 j when three letters picked without replacement from {s: 5, j: 1, c: 6, w: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 21. Factor -10\/3*o**3 + 4\/3*o**u + 10\/3*o - 4\/3.\nAnswer: -2*(o - 1)*(o + 1)*(5*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(539) + sqrt(539) - sqrt(11))**2 - sqrt(55)\/(sqrt(60)\/(sqrt(12) + sqrt(24)\/sqrt(2))) - (-5 + (-4*(1 + sqrt(1584)) - sqrt(1584)) + 5).\nAnswer: 16 + 58*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -70 (b) -2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-10) + 4\/(-6). Let h be (10*4\/420)\/((-1)\/6). Which is the second smallest value? (a) 1\/7 (b) h (c) -2\/3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 - (0 + -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**5\/20 - j**4\/6 - j**3\/3 + 2*j**2 + 3*j. What is the tens digit of h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3974408*o**4 + 5*o**3 - 94068*o**2 + 367?\nAnswer: -95385792*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(1452) - 2*sqrt(1452) - sqrt(1452)).\nAnswer: -sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 0.1405?\nAnswer: 0.1405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.43 + -0.03. Sort -3, w, -0.2 in descending order.\nAnswer: w, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 15767998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 29. Let z be 10336\/d*(6 - 3131). Round z to the nearest 100000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + 136. Let v be g(-41). Let u(z) = -z**3 - 5*z**2 + 5*z - 10. Let r be u(-7). Which is greater: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, o: 1, c: 3, q: 4, y: 2}. What is prob of picking 1 y and 3 c?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 6. Let p be g(0). Suppose -1108*d = -1105*d - 36. Suppose -d = -p*z + 3*z. Solve 0 = z*n - 2*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)**(-2\/165)\/(v**(1\/4)\/v)**(-39))**(38\/5) assuming v is positive.\nAnswer: v**(-366491\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -69163?\nAnswer: -4\/69163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 5*w + 57. Suppose 0 = -3*u + 4*d + w, 2*d + 17 = -2*u + 5*u. Solve -u*f + 13 = t, 0 = f - 0*t - 4*t + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 0, -5*q - 3*v = -4*v - 25. Solve 34 = -q*k - i + 10, -8 = 2*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14576\/1785 + 1\/1190. Find the common denominator of k and -54\/235.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 15 - 4*m**2 - 9*m**2 - 2*m + m**3 - m**3 + m**3. Let u be o(13). Let f = -6 - u. Solve -f*c = -g + 4, -12 = 2*c + g - 4*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4436 and 9.2.\nAnswer: -4426.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Suppose -k = -5*o - 2, 4*o + 3*k + 8 = -5. Let y = 159.5 + -159.1. Which is the nearest to o? (a) l (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 - 1 + 1)*(-4 + 4 - 2) + p**4 + 1 - 1 + 5*p**4 + 0*p**4 - 3*p**4 + (-2*p + 0*p + 3*p)*(5*p**2 + 2*p**3 - 5*p**2).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + -3*2*sqrt(153) + sqrt(153))*-5*-4)\/(4*3*(5*sqrt(144) - sqrt(144))))**2.\nAnswer: 425\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -99, -4, -2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2\/5 (c) -238 (d) -3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-2 - 2) - 2. Suppose 2*f - 4 = 4*f. Is t < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18152874373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(204) + sqrt(204))\/sqrt(12) + -3.\nAnswer: -3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14237202 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 3, 2, -90 in ascending order.\nAnswer: -90, -6, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000120898 rounded to seven decimal places?\nAnswer: -0.0001209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r - 1. Let x(i) = 8*i - 1. Suppose -5*m - 235*m + 247 = -233. Give m*x(a) - 3*p(a).\nAnswer: -5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9675558017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2729*s - 35 = -7*n - 2730*s, -15 = -3*n + 6*s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 689731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 22*c - 484. Let w be f(23). What is the greatest common factor of w and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005483044 rounded to seven decimal places?\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 0*f + 2*f)*(-f**2 - 5 + 5) + 3*f**3 - 4*f**3 + 3*f**3 + 36 - 36 + 6*f**3 + (f + 0 + 0)*(3 - f**2 - 3) + 0*f**2 + 0*f**2 - f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3806, -17429, -31052, -44675?\n\"Answer: -13623*y + 9817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -18, -61, -142, -273?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 4*o + 4. Let l be j(2). Let a be (l\/(-1))\/(4\/(5 - 7)). Is (a\/5)\/((-10)\/1975) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*r - 60*r**2 + 18*r**2 - 2*r**4 - 24*r**3 + 115*r + 94*r.\nAnswer: -2*r*(r - 2)*(r + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dc73 - b?\nAnswer: -dc80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 1, 3, 8, -8585?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**3\/3 - 5*m**2 - 13*m - 3381. Suppose z - 22 = -z. Determine f(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160.00000166 - 160. What is s rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 0 + 0*l**4 - 3\/2*l**2 - 5*l + 1\/4*l**5 + 0*l**3. What is the first derivative of a(k) wrt k?\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11847, 1\/3, -0.5, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229583 less than -41?\nAnswer: -1229624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004316879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 6 + 6)*(3*s + 0*s - 2*s + 0*s + s - 2*s + s + 0*s - 2*s - 2*s - s + 4*s + (s + 2*s - s)*(-2 - 3 + 3) + 3 - 3 - 2*s).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -9. Let p be (4\/(-4))\/(2\/a). Suppose 3*r - r + 332 = p*x, 815 = 5*x - 2*r. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5675480 rounded to the nearest ten thousand?\nAnswer: 5680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-6)*(-11)\/(110\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -199*c*z**3 - 147*z**3 wrt c.\nAnswer: -199*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**3 - 5533*l**2 - 38978*l - 15. What is n(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -195*h - 251*h + 2211 - 9347 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**3*w**4 + d**3*w**2 + 55*d**3 + 2*d**2*w - 90*w**5 wrt w.\nAnswer: 120*d**3*w - 5400*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*25\/((-3375)\/(-240)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4788264 and 35760.\nAnswer: 47882640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4254387924?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -6441?\nAnswer: 2\/2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.9657896kg?\nAnswer: 965789600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, u: 4, p: 6}. What is prob of picking 2 u and 1 p?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.04, -6, 7.96, -109 in decreasing order.\nAnswer: 7.96, 4, 0.04, -6, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258\/171 + (-12 - (-2 + 9))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-5173)\/91 + 57).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 18*z + 636. Is y(-16) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + (-24 - -26).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 221*x**3 + 158084*x + 25862811 wrt x?\nAnswer: 663*x**2 + 158084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**3*u + 12948*b**2*u + 149*b*u - 17214320*u wrt b.\nAnswer: -3*b**2*u + 25896*b*u + 149*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.772365 nanometers in kilometers?\nAnswer: 0.000000000003772365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29392 is divided by 4883?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {z: 4, b: 5, y: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + h + 0 = 1, -5*r + 13 = 4*h. Is 3\/175 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 8*i. Let g be o(7). Let h(v) = -v - 2. Give h(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7)*p*p)**(-3\/11))**(8\/3)\/((p\/(p\/(p\/p**(1\/6))))\/(p\/(p*p**(-9))))**14 assuming p is positive.\nAnswer: p**(26027\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 2\/5 (c) 5 (d) -3\/8 (e) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1893*x - 2666. What is the hundreds digit of g(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 13*o. Suppose p + o = 4. Solve -a + p = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1))\/c*c*c*c**(-1\/4)*c\/(c*c*c*c*c**(-7\/5)*c*c)*c**(5\/4))**3)**(-44) assuming c is positive.\nAnswer: c**(1056\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 807720*a*p**2 - 29*a*p - 13*p - 127 wrt p?\nAnswer: 1615440*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 5. Let d be s(3). Differentiate -2*w**4 - 4*w**d - w**4 + 8*w**4 - 1 wrt w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 65 = -3*z - 5*y, 2*y = 5*z - 40. Suppose 13*d - z*d - 177 = 0. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/6620 and -101\/6280.\nAnswer: 2078680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 - -355. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16124725)\/196301*(-7)\/(-5)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/7, -3\/2, 5, -2, 42, 0.66?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -l + 2*l - 13, -4*a = 4*l - 28. Suppose -a*q = -2*j - 3*j + 81, 4*j + 4*q = 48. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 22)*9\/(-63)*7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -707, 1, -5 in increasing order.\nAnswer: -707, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -325*r**2*u**3 - 28*r**2*u**2 - 2*r*x + 2*u**3*x - 2*u**2*x wrt u?\nAnswer: -1950*r**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 133*z**2\/2 - 15*z - 4. Is r(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1431 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 4:02 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 4*f + 32. What is the units digit of 1\/(26\/f + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -1\/3*g**3 + 1\/5*g**2 - 1 + 0*g. Factor b(s).\nAnswer: -s*(5*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k - 6 + 7)*(0 - 7 + 9).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from qqcppcpqpqhwhqcchc.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589 (base 10) to base 11.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y - 16 - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 - t + 15*t**2 - 5*t**2.\nAnswer: 4*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-170)\/(-51)*192\/5 and 48?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2892.81400006 + -2893.114. Let f = -0.3 - i. What is f rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z, 0 = 2*a + 14*z - 9*z + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -10*u**2 - 5*u + 5. Let z(s) = 2*s**2 - 152*s + 848. Let v be z(6). Let x(b) = -3*b - 5*b - 15*b**2 + 0*b + 8. What is v*y(d) - 5*x(d)?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5336\/12 + -3*(-8)\/(-36).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Let r(b) = -2 - x*b + 5*b + 1. Let n be (-1)\/2 - (-28)\/8. What is r(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7354401, 0, -3 in descending order.\nAnswer: 7354401, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (56\/(-10) + 6)*-10. Let i(c) = c + 1. Let b be i(-4). Put 0, u, b in decreasing order.\nAnswer: 0, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2 and 17\/73974?\nAnswer: 73974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166 or -144?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4092, -8237, -12438, -16707, -21056, -25497?\nAnswer: -30042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/2, 4350, 5, -1, -0.1.\nAnswer: -1, -0.1, 7\/2, 5, 4350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/1100 and -37\/440?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17740182 + -12.783033.\nAnswer: 17740169.216967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -19 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 4*d**2 + 4*d**2 - d**2. Let n(u) = 2*u**2 - 2*u - 1. Suppose -33*s = -42*s + 9. Calculate s*t(q) + n(q).\nAnswer: q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18650 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5) + (-66)\/121*9\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*46879.\nAnswer: -187516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.0400395+-14\nAnswer: -14.0400395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.8, -2, 0.1, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23030 + -21?\nAnswer: 23004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 25*q + 9*q**4 + 26*q**2 - 20*q**3 - 16*q**2 + 10 - 29*q**4 - 5*q**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cby when three letters picked without replacement from cbqyc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6290538?\nAnswer: 2, 3, 1048423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 - -90. Suppose 5*i + p = 75, -25 = -v*i - 3*p - 8. Suppose i*w = 14*w + 14. Solve 4*q + 8 = -2*y, w*y - 5*q = 2*y - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5452 or 5638?\nAnswer: 5452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 432071 or 432074?\nAnswer: 432071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 10:13 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122*t - 619 - 100 - 107*t wrt t?\nAnswer: -229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -328 - -349. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 5) to base 7.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51282233?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -633?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 8*y + 9*y. Let z = 0.2 - 0.1. Which is the second smallest value? (a) 4 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 840 - 836. Which is the nearest to -1? (a) z (b) 0.8 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*14\/(-36)*500\/(-53375)*-61.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -13 + (0 - -7) - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.419575 + 0.42. Round p to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:06 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0659 + -0.6341. Which is the closest to 1\/2? (a) 4 (b) -0.2 (c) n (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + (sqrt(76) + -3 + 2)**2*1 + -3 + -3.\nAnswer: -4*sqrt(19) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 13) to base 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1987, -1989, -1993, -1999, -2007?\nAnswer: -2017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*m + 117*m + 18*m + 31 = -1173 for m.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.24 - -0.14. Let f = 0.07 + x. Let j = f + 0.03175. Round j to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156836877 bigger than 156836880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -886, 2, -5, 1 in increasing order.\nAnswer: -886, -5, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*p - 222, 5*f = 2*f + p + 355. Let w be (574\/56 - 10)\/(2\/104). What is the greatest common factor of w and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 4*j + 3. Let q be s(-3). Let d(m) = m**2 - 6*m + 9. Is d(q) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68280 and 79563?\nAnswer: 1810853880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*x = 6, -7*i + 6*i + 5*x - 6 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5*h - 60, 2*v = 9*h - 13*h + 12. Solve 24 = 2*k - 4*w, -37 = -k + 5*w - v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -495, -1880, -4187, -7416?\nAnswer: -11567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378084 and 37970436.\nAnswer: 265793052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1151*c + 385*c - 63 + 23 = -385*c - 383*c + 10*b, -5*c + 12*b = -61 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000172309938 rounded to six decimal places?\nAnswer: 0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -4*m**3\/3 + 61*m**2 + 54*m. Let l be v(15). Solve -22 = -l*b - 2*n + 6*n, 0 = -5*b + n + 28 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -210 + 561. Suppose 93*v + 322*v - 6591 = -92*v. Calculate the highest common factor of n and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 81519921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*((-242)\/11)\/(-44).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-348)\/(-230))\/((-4)\/(-40)). Let k = q + -3776\/207. Calculate the common denominator of k and 2\/((-28)\/(-82)) + -2.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = -5*z - 7, 2*z + 6 = 2*p. Which is the closest to -16? (a) -1.1 (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -227, -748, -1759, -3422?\nAnswer: -5899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**4 - 296376*x**3 + 50641308*x**2 - 2885813784*x + 54823424562 = 0.\nAnswer: 57, 148017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlvs when four letters picked without replacement from ggglvgggvggggesvgs?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 + 70*i**2 - 47*i - 27. Is f(-32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 7. Let x be j(0). Let g(r) = r**2 + 7*r - 4. What is g(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 18. Let m be u(19). Calculate the common denominator of (-58*m\/6)\/(22\/6) and (-22)\/8*(-32)\/(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2798174?\nAnswer: 2, 1019, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13274496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -72 + 249 - 177 + 567*h**2 + h in the form l*h + g + k*h**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3\/2, -0.09, 2\/3 in descending order.\nAnswer: 2\/3, -0.09, -3\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6639*f**3 + 13*f**2 + 2319. Let l(b) = -1660*b**3 + 3*b**2 + 579. Let j(r) = -13*l(r) + 3*z(r). Find the first derivative of j(v) wrt v.\nAnswer: 4989*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104432 - 3*h**3 + 52253 + 52217 - 2*h + h**2 to t*h**3 + z + m*h**2 + v*h and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 16*i**2 + 16*i + 164. Let t(c) = -2*c**2 + c + 1. Let s(m) = f(m) + 5*t(m). Is s(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 38.644.\nAnswer: -77.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6204 and 1056.\nAnswer: 49632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12512 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - m - 19, 9*k + 5978 - 5959 = 2*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 18*j - 10. Determine u(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 39 - 28 - 36 + 172 - 33*p - 36.\nAnswer: -33*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -47. What is the lowest common multiple of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let h be v(-6). Let l = 40 + -44. Is h at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 330 and 198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grr when three letters picked without replacement from {v: 6, g: 3, r: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r**2. Let d(u) be the third derivative of -3*u**4\/8 + u**3\/6 + 1184*u**2. What is d(x(a))?\nAnswer: 108*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -334 + 338. Find the third derivative of -2*x**3 + 3*x - 4*x + 5*x - 94*x**4 + 7*x**2 - 16*x**n wrt x.\nAnswer: -2640*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/35*(-20)\/4. Let h(o) = o**3 - 14*o**2 + 10*o + 38. Let j be h(13). Sort -2, j, 2, f in decreasing order.\nAnswer: 2, f, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 5*c**2 - 4*c - 5. Let f be w(4). What is the closest to -0.2 in 4, f, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 = 2*k, 4*o - 3*k - 91058 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/11117 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9770557 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 9*i + 60. Let y = 7466 + -7471. Give d(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 - q**2 - 2*q + 3. Let w be (2 + -1)\/((-2)\/(-4)). Let k be g(w). Find the common denominator of 29\/5 and 4\/18*k - 0.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -z - 0*u + 396, -2*z + 780 = -2*u. Sort 3, 0, -2, z in decreasing order.\nAnswer: z, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 378534 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -382 - -195. Let q = -202.6 - h. Round q to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(252)*-2 - sqrt(252))\/(sqrt(1008)\/sqrt(7)))\/(5*(sqrt(484) + (sqrt(484) - (sqrt(484) + (6*(sqrt(484) - sqrt(484)*2) - sqrt(484)))))).\nAnswer: -sqrt(7)\/352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - -4434098?\nAnswer: 44340a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23452728*u**3 + 981217*u**2 - 6*u wrt u.\nAnswer: 140716368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -7 - (-22 - -53).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10d3 + -17?\nAnswer: 10ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 1722 = -768. Calculate the common denominator of -97\/8 and ((-6)\/20)\/((-48)\/d).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 2. Let w(f) = -f**2 - 3*f - 3. Let j(o) = o**3 - 6*o**2 + 2*o - 4. Let a be j(6). Let v = -5 + a. Determine v*c(u) + 2*w(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 49540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + -5*((0 + sqrt(72))*3)**2*2 + -1.\nAnswer: -6479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p + 7070. Let k be n(0). Suppose 427*s + k = 432*s. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 308 = -25*h - 84. Calculate the lowest common multiple of 407 and h.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*b**3 - 291*b**2 wrt b.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360 = 3*r - 354 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d**2 + 17*d - 7. Let j be o(2). Let b = -28 + 8. Let v be 2\/(-5) - 8\/b. Sort -3, v, j.\nAnswer: -3, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 77.0249.\nAnswer: 79.0249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, y: 2}. What is prob of sequence yy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 2*y + y + 31)*(-1 - 5 - 3)*(-3 + 3 + 1)*(-3 + 1 + 3)*(-4 + 4 + 3).\nAnswer: -81*y - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 224807*o**3 - 535*o - 535. Let u(v) = -6725*v**3 + 16*v + 16. Calculate -16*m(h) - 535*u(h).\nAnswer: 963*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -31*u + 2. Let j(w) = -2*w**2 - 3628. Calculate j(a(b)).\nAnswer: -1922*b**2 + 248*b - 3636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -914 - -2121. Is h < 1207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5251, -3, 2, 1\/7.\nAnswer: -3, 1\/7, 2, 5251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 146068102 to the power of 1\/2, to the nearest integer?\nAnswer: 12086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c - 2*c + 4*c)*(2 + 17 - 57) as m + d*c and give d.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, -1\/3, -2, 5, -448?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 9:54 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42.5 + -42.55. Let v be 2\/4*(-2)\/4. Which is the fourth smallest value? (a) z (b) -0.3 (c) 0 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10912 divide 1401653557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11884381, -11884382, -11884383, -11884384, -11884385, -11884386?\nAnswer: -11884387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.024, 0.032, 3 in descending order.\nAnswer: 3, 0.032, 0.024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {d: 8, q: 5, w: 2, a: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1 - 4 + 4 - 2 + 3*t**3 wrt t?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 0*w + 2\/3*w**3 + 1 + 0*w**2. Let m(a) be the second derivative of a**3\/6 - 6300*a. Calculate c(m(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 41 (b) -55 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3 - 0. Suppose -3*s - 5*m = s + 7, s - 2*m = 8. Suppose s*x + p = 5. Let g(k) = k**2 - k + 7. Let q(c) = -2. Calculate x*g(t) + 6*q(t).\nAnswer: 2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-28))\/((-13)\/78).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide (158\/22 - 7) + (-6741472)\/(-176)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -199 - -198. Are a and 81 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 4*y**2 - y - 2. Let f be g(-3). Calculate the remainder when 0 + 0 - (f + -8) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 34, -18, 2, 0.5, -1, -16?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 4 = 5*h - 3*x, -5*h = -5*x. Solve h = -s - d - d, -2*d + 14 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 9*g**2 + 9*g + 8. Let f be h(10). Is (416\/f - -2)\/(-2) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -40 + (11 - 15). What is the third biggest value in o, -2\/7, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a. Let x be q(-3). What is the third derivative of -x*l**4 + 6*l**2 - 4 + 4 - 10*l**2 wrt l?\nAnswer: -216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(102) - sqrt(102))*6)\/(-2*sqrt(6)*-1))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (14 - 0) + -2 + -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 10. Let t = 9 + -5. Sort k, t, -1 in decreasing order.\nAnswer: t, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.82095ml to litres.\nAnswer: 0.01382095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30284 - y + 30286 - 60570.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 68, 99, 96, 41, -84?\n\"Answer: -3*u**3 + u**2 + 49*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*j - 10948 = 1791*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8241430, -8241439, -8241448, -8241457?\n\"Answer: -9*t - 8241421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsbb when four letters picked without replacement from sbuubuuulbsflb?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 39. Let i be (-7)\/(-14)*z\/2 + -2. What is the second derivative of -4*h - 5*h - 12*h**3 + 2*h**3 + i*h wrt h?\nAnswer: -60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -243 + -21?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*d - 17*d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 + 9. Let z = 8 - 6. Let x be 2\/(-7) + 195\/21. Let g(n) = -3 + 1 + 0 - n**2. What is x*g(w) + z*l(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/74410 and 8\/77?\nAnswer: 818510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -1\/2 (c) -66 (d) -0.159 (e) -0.3 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(10) + sqrt(90) + sqrt(10))\/sqrt(5))**2 + -5 + 3 + 3.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4524 and 2184.\nAnswer: 63336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4 - 136*v**3 + 41438*v**2 + 3352636*v - 3393936 = 0.\nAnswer: -126, -91, 1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -9.2. Let j = -8.8 + i. Is -4 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6754260 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 4*g**2 - 6*g - 7. Let y be l(-3). Suppose -2*w = -4*v - 18, 48 = y*v - 5*w + 69. Which is the third smallest value? (a) v (b) 0 (c) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -s - 0*d + 16, -2*s = -4*d - 16. Suppose 0 = 11*o - 6 + 61. Sort s, o, -33, -1.\nAnswer: -33, o, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10702920 by 474.\nAnswer: -22580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q + 72*q = 10504. Calculate the greatest common factor of q and 272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -535 + 2532?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14.1 (b) -0.2 (c) -3\/11 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4687*w + 126170 + 256750 = 82952 for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + -3 + 0 + 4. Let u = 5 + d. Suppose -42 + 16 = -u*j. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/11 + 4188*d**2\/11 - 2029248*d\/11 - 173908288\/11.\nAnswer: -2*(d - 1084)**2*(d + 74)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.362 + -15.7. Let c = -0.488 - -0.45. Let n = c - m. Is -0.8 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1392843 and -55\/928562?\nAnswer: 2785686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b. Suppose 5*o + b*o = 5. Sort -0.3, 0.2, o in decreasing order.\nAnswer: o, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 510092*h**2 + 16262370572*h + 16261860484.\nAnswer: 4*(h + 1)*(h + 63761)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (505\/45)\/(510\/459) and 51\/12278.\nAnswer: 61390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/7))**34\/(l**1\/l*l**2))**(4\/9) assuming l is positive.\nAnswer: l**(1168\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 - 91. Let r(m) = -m**2 + 6*m - 1. What is r(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 104, 153?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.309 + -502.309. Let h = j - -495. Which is the closest to -2\/5? (a) -2 (b) h (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -9*j - 5. Let i be b(6). Let l(c) = c**2 + 30*c + 117. Let w be l(-16). Let u = i - w. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/112)\/(46\/(-1610)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -40, -62, -84, -106?\n\"Answer: -22*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 90*c - 135. What are the prime factors of b(-56)?\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -29. Suppose 5*p - i = 20. Suppose -3*m + p = -m. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -9*q + 61. Let x be (-6)\/(-1) + (q - 5)*-1. Let f = 15 + -5. Solve -x*n + f = -5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -21*u**2 + 4*u + 189. Let v(m) = -18*m**2 + 5*m + 193. Give -5*l(p) + 4*v(p).\nAnswer: 33*p**2 - 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + -16 - (-557 + 519)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 10:56 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5522563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.138 + -2.\nAnswer: -1.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44\/663 + -5\/102. Let q be (5 - 8) + (0 - (0 + -3)). Which is greater: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3435216954.\nAnswer: 2, 3, 13, 853, 51631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18320800 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*h + 45 + 65, -2*h + 150 = 4*j. Suppose -70 = 2*l + 4*k, -5*k = 3*l + 50 + 54. Let n = l + 43. What is the least common multiple of n and j?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-4)*b*b**(1\/10)\/b)\/((((b*b\/(b\/(b\/((b*b\/b**6)\/b))))\/b)\/b*b)\/b**10))**(-39))**(7\/5) assuming b is positive.\nAnswer: b**(-273\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 11*n**2 - 18*n + 2. Let p(s) = 4*s + 9. Let o be p(0). Let u be x(o). Solve -5*z + t - 16 = -u*t, -6 = 2*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**3 + 400*z**2 + 1924*z + 2280 = 0.\nAnswer: -95, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 + -2 - -20. Let r = m - 27. Calculate the remainder when (0 + 3\/r)*-57 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*j + 26, 3*j + 2*x = 7*j - 12. Suppose b - 2 = 4*d, -2*b + j + 0 = -d. Suppose 0 = 4*c - n - 1035, 0*c = b*c + n - 519. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1628532*a**4 - 2*a**3 + 131303*a**2 + 2.\nAnswer: -39084768*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (14 - (-146623)\/(-11970)) + (0\/1 - (-6)\/(-14)) and (-113)\/(-72) + (-1)\/(-4).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 16*a - 2692. What is the smallest common multiple of 198 and a?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 2028*a**2 - 16174*a + 117. Determine w(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21016 - 56?\nAnswer: -21073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*s + 7. Suppose 66 = s*l + 2. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + 0 - (-180 - -234).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**2 + 14 - 18 + 7*j**2 + j. Give p(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, -0.049, -4, 2\/5 in increasing order.\nAnswer: -4, -7\/3, -0.049, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r = -31*r + 390. Suppose -84*t = -r*t - 360. Let a = 153 + -63. What is the highest common divisor of a and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*m - 63 = -57*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, m: 17}. Give prob of sequence jmm.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 1\/27*s**4 - 4\/27*s**3 + 0 - 5*s**2 + 0*s - 1\/270*s**5. Find t such that c(t) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 + 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 11*r + 26. Let z be j(13). Let q(w) = w**2 + w + 1. Let g be q(-2). Let k be 1 - (z\/3)\/g. What is the highest common factor of k and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:51 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/(3\/(-6)). Let b = -3 - a. Let l = 17 - b. Calculate the remainder when 32 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 2*s**2 + 0 + 14)*(32*s - 19*s - 3 - 14*s).\nAnswer: -2*s**3 - 6*s**2 - 14*s - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) -1178 (c) 0.3 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 111277622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*p*r**4 + 20*p*r**3*t**3 - p*r**2 - 3*p*t**3 + r**5 + r**2*t**2 + 121*t wrt r.\nAnswer: 648*p*r + 120*p*t**3 + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (37 + 41088)\/(2\/(-96)). What is v rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 7 + 3 + 2 + 1 - 2 + (-1 - 1 + 0)*(3 - 2 + 0))*(t + 3 - 3) to the form o + i*t and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/372 and 11\/16?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*a - 14. Let u(h) = h + a*h - h. Let w(p) = -p**2. Give w(u(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*x**2 + 3*f**2*x - 3*f**2 + 70*f*x**3 - 9*f*x wrt x.\nAnswer: 2*f**2 + 420*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 6*o - 6. Let u(h) = -4*h**2 - 11*h + 11. Let q(r) = -79*r - 401. Let k be q(-5). Give k*u(w) - 11*p(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23, -140, -451, -1052, -2039, -3508?\n\"Answer: -16*b**3 - b**2 - 2*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 250 and 15610925.\nAnswer: 156109250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-8)\/o*o*o))\/(o**5*o*o) assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/40)\/(24\/(-90)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417946 to the power of 1\/2, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001111 (base 2) to base 13.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 2999 - 17*b**2 + 2999 as g*b**2 + j + n*b and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = 4*n + 140 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q*(q\/(q**(-2\/55)\/q))\/q*q)\/q)*q*q\/(q**(8\/9)*q)*q*q*q\/(q\/(q\/q**(2\/3)))*q\/q**(-1\/6) assuming q is positive.\nAnswer: q**(2549\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2406\/41 - 444920\/7667. Let b = t - 8\/17. Which is greater: b or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.21? (a) -1\/7 (b) -2\/9 (c) -0.2 (d) 1\/6 (e) -378 (f) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 1742, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-40)\/(-450) + 2\/(-10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6411 - -19235\/3. Factor -2\/3*k**4 + 0 + 0*k + d*k**3 + 0*k**2.\nAnswer: -2*k**3*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3470803590 and -1.\nAnswer: -3470803591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*p**2 - 4*p - 14*p - 6*p - 23*p**3 + 5*p**3 + 17*p**3 to g*p + z*p**2 + l + v*p**3 and give z.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1154, 2301, 3448, 4595, 5742, 6889?\n\"Answer: 1147*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i - 14. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -0.3 (c) -36 (d) 16.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8126510 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 + 55*y + y**2 - 3*y**2 + 0*y**3 + 146*y + 4*y**3 in the form h*y**3 + u + w*y**2 + r*y and give r.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoocoxoxoooqxoox. Give prob of picking 2 o and 1 q.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4829 + 4829. Let y = -36 + 74. Solve 36*u - y*u - 10 = i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 384136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1573\/10981 or 1?\nAnswer: 1573\/10981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - b**3 - 3*b**3)*(4989 - 88*b - 4989).\nAnswer: 440*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-84)*27\/(-6). Let z = 6 - 4. What is the closest to -1 in q, z, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -232311120033?\nAnswer: -232311120031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times -162?\nAnswer: -210.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/2 - 438*v**4 + 2616*v**3 - 5225*v**2 + 8703*v\/2 - 1305.\nAnswer: (v - 870)*(v - 3)*(v - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(24\/36) - (6 + 29 - 6)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + p - 4*p + 32 = 0, 0 = -4*y - 2*p + 36. Let n = -4 + y. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -7*h + 62902. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**2 + 271615*c - 217932 wrt c.\nAnswer: -4*c + 271615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = z + 5*l, 0 = 2*z + 3*l - 560 + 546 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by 118\nAnswer: 44\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 36, -1, 9, 4 in increasing order.\nAnswer: -1, 1, 4, 9, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*z**5 - 31*z**4 - 14*z**2 + 8246774*z.\nAnswer: 1340*z**3 - 372*z**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4400 divided by 22.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 8:09 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 4086.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.18 + -0.48. Let o = 0.2 + -1.2. Which is the smallest value? (a) f (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Suppose 0 = 2*w - 17 + 9. Suppose x*c + w = 26. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*n + 12, 4*n = 2*n + 5*v + 27. Suppose 0*y = -n*y - 258. Let h = y + 96. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 3)*(0*i - i + 0*i) + 19*i - 4 - 13*i - 7*i to the form u + x*i and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14493979, -14493951, -14493933, -14493931, -14493951, -14493999, -14494081, -14494203?\n\"Answer: -r**3 + r**2 + 32*r - 14494011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54816429?\nAnswer: 3, 23, 47, 16903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 636 by -212.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - 3. Let y be z(-3). Suppose 2*d = -r - 3, -2*r + y = 2*r - d. Solve 4*a - r*g - 21 = -0*g, -3*g = -a + 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 115\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)\/((d*d**(-1))\/d))**(3\/11)*(d**7*d**(5\/3))**(-4\/9) assuming d is positive.\nAnswer: d**(-1630\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*c - 8 = 0. What is the hundreds digit of -8*(-2)\/c*157\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 2:37 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -740689 by 1.\nAnswer: -740689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from {d: 7, j: 12}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122182*j**4 + 5*j**3 - 50868*j + 33 wrt j?\nAnswer: -1466184*j**2 + 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2743 + -21?\nAnswer: -2764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14a1 (base 12) to base 13.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-3)\/f)*f)\/f*f**(-2\/17)*f*f*f**2*f**(7\/3) assuming f is positive.\nAnswer: f**(572\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 3. Let f be c(3). Suppose -2*p - p + 9 = f. Suppose -2*w + 0*x = -x + 1, 5*x - 18 = -p*w. Sort -2, w, -3.\nAnswer: -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 11:44 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 620 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3116 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 64886142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 718484 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-268)\/19899*-27 - 119\/297)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7 - 5 + 13*h + 0*h**2 + 9 + 2*h**2. Let p be n(-8). Suppose 5*y = p + 45. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 22*c**2 + 105*c - 26. Let m be j(26). Suppose -2*i - 3*i + 4280 = m. What are the prime factors of i?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7. Sort 4, -13, 3, j in decreasing order.\nAnswer: 4, 3, j, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -7a9db2?\nAnswer: 7a9db3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56689373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6279 is divided by 76?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 14479 + c + 14474 - 43431 + 14478. Let l(f) = 85*f**2 + 1 - 1. Calculate d(l(v)).\nAnswer: 85*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 15 - 81 = -3*r, 37*r - 27*r + 44 + 62 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbsbsbbbbsssb. Give prob of picking 2 b.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**5 - 15*y**4 - 35*y**3 + 35*y**2 + 90*y + 40 = 0. Calculate y.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 133*l - 587. Let b(m) = 33*m - 133. What is -18*b(u) + 4*n(u)?\nAnswer: -62*u + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -16256a96?\nAnswer: 16256a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 378 + -344. Calculate the remainder when y is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**3 + 3*q**3 - q**3 + (-3*q**3 + 2*q - 2*q)*(601 - 64 - 15).\nAnswer: -1568*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163*t - 234*t + 32*t - 192*t - 81*t to m*t + r and give m.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -30.975. Is v greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -1, -3, 0, -2 in descending order.\nAnswer: 0, -1, -2, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -20*l + 153. Let s be u(9). Is -26 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {k: 1, f: 3, b: 6, q: 5, i: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*(24\/20)\/(3\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 254, 2074, 7022, 16664, 32566?\n\"Answer: 261*w**3 - 2*w**2 - w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f - 2*v - 34, 5*v + 130 = -4*f. Let x = f - -45. Solve -4*l + x = a - 6, -2*a = -5*l + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24170704 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375 = -88*t + 329 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*s + 48 - 48 - 136*s to the form y*s + g and give y.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*f = -164*f + 3637943. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 0 (b) 29 (c) -67 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5204 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/91 - 96\/105?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Let k = w + -1. Which is greater: k or 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -8. Let s(x) = x**2 + 5*x - 104. Let r be s(-13). Put z, 4, r in descending order.\nAnswer: 4, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = -3*z + 570. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420333013 (base 5) to base 11.\nAnswer: a82076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 87*h**2 - 331. Let z(n) = 2*n**2. What is w(z(y))?\nAnswer: 348*y**4 - 331","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -491.56\nAnswer: 1966.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + 311333?\nAnswer: 311302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1 - l**2 - 4*l - 3*l**2 + 0*l**3 + 3*l + l**3. Let i be v(4). Let r = 263\/60 - 43\/12. Which is the third biggest value? (a) 20 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 26*j + 152. Calculate x(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -80. Calculate the remainder when 25 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.305 + 0.205. Let z = -10 + 11. Let y be (9\/15)\/(1\/5). What is the nearest to 1 in z, y, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 523*o - 515*o + 14 = 78. Solve o*h = -35 + 43 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11642 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 249213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5))**11*p\/(p\/(p\/(p*p**(5\/2))))*p*((p**(-2\/21)*p*p)\/p)\/p assuming p is positive.\nAnswer: p**(-1259\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*((-3)\/1)\/((-41)\/(9594\/(-486)))*-3.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*v**2 - 164*v**2 + 50*v**4 + 5*v**3 - 54*v**2 + 40 - 20*v = 0. Calculate v.\nAnswer: -2, -1\/2, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.1, 0.4, -0.3?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from oeooeowe.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let q(c) = 8*c - 1. Let x(y) = q(y) - 6*t(y). Let o be x(-8). What is the tens digit of (2\/8*7)\/(o\/(-204))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 32. Let s be -8*(228\/190 - (-2)\/(-10)). What is the remainder when (465\/20)\/((-3)\/s) is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 157*g + 30*g + 26 - 9 + 69*g as k + u*g and give u.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 214*i - 1413. Give w(9).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*t + 2, -l - 13 - 1 = -3*t. Suppose 0 = 5*n + 10, -6 - t = 4*d + 5*n. Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 6, k: 7}. Give prob of picking 2 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 559242, 559253, 559264, 559275?\nAnswer: 559286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.401 - 0.089. Let y = 0.29 + v. Let z be (-5 + 2)\/(1 + -6). Which is the nearest to 2? (a) 4\/3 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1717897\/235940 - 15\/12 - 6 and 83\/2510.\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:20 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 79*y + 1. Let p be -3*(4 + (-22)\/6). Let f be j(p). Let o = f + 109. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i*j*y**3 + 162*i*y**3 - j*y**3 - 49*j*y + 4*y**3 wrt i?\nAnswer: -3*j*y**3 + 162*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 3. Let f = -3 + h. Let p = -8 + f. What is the third smallest value in p, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/120 - 7*o**5\/60 + 5*o**4\/12 - 3*o**3\/2 - 4*o**2. List the prime factors of l(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 752827 and 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 601584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 3324.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -67 and -5?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1689*q = -420*q + 76619 + 49012 for q.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3868 - -5704. What is the greatest common divisor of 54 and d?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**5\/45 + z**4 - 64*z**3\/9 + 120*z**2 - 5. Factor a(o).\nAnswer: -4*(o - 16)*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - 0.12. Let o = 0.08 + f. What is o rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 5. Let q(x) = -9*x - 15. Determine -8*f(o) + 3*q(o).\nAnswer: -3*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4266 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 - 3 = a, 0 = -3*a + 3*t + 27. Suppose -r - 3 = -2*r. Sort a, -3, r.\nAnswer: -3, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2920 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, b: 5}. What is prob of sequence aaba?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 5*o**8\/336 - o**7\/42 - o**6\/24 + o**5\/12 - o**2 + 4*o. Solve z(j) = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 60128?\nAnswer: 60128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124442 (base 5) in base 13?\nAnswer: 1a7c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.07, 3\/2, -2, -1\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21447*i**4 + i**2 + 499*i + 2?\nAnswer: 514728*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 3, -2\/13, 3.4, -812, 0?\nAnswer: -812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79377\/(-4)*(-1068)\/267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 75\/7 of a week?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 = -2*v. Let w = 59.8 - 2.8. Let k = w - 57.5. Which is the nearest to v? (a) 0.5 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -38.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 18*c = -u + 314, 4*u = 4*c - 392. Solve -c = -19*x + 30 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/545 and ((-36)\/(-810)*-417)\/(0 - (-12)\/15).\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*l**4*x - 344*l**3*x - 966*l**2 + 33620*l*x + 2 wrt l?\nAnswer: 876*l**2*x - 2064*l*x - 1932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.0302 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76910364 and 648.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 174*u + 6925*u + 3024*u in the form p + l*u and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 262356181 to the power of 1\/2, to the nearest integer?\nAnswer: 16197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -41*j**2 + 2003*j + 48. Calculate d(49).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11999904 and 1176.\nAnswer: 11999904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-9))\/(2\/3). What is the nearest to 1\/2 in v, 1\/9, 1\/10?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 0 + 16. Let r = 240 - 336. Let q be (-8)\/(-12)*r\/(-1). Calculate the greatest common factor of a and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01177844219 rounded to 4 dps?\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -7. Calculate the remainder when 14 is divided by (n - -2 - -14)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -299, 0.4, 1, -3, -0.11?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzttutztuozz. What is prob of sequence ut?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 580112 and 0.2?\nAnswer: 116022.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(4\/8*-2). Suppose 14 = d + 4*b, -5*b - 9 = -3*d + 50. Calculate the greatest common factor of d and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 8:39 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 0. Suppose 0*z - p*z - 2*t - 61 = 0, -3*z - 2*t - 35 = 0. Let w(a) = -13*a + 1. Let q be w(1). Is q less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*r**4 - 8*r**4 - 5*r**3 + 17*r - 353 + 27*r + 354 wrt r?\nAnswer: -492*r**2 - 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 6*k**2 + 3*k + 5. What is y(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*h - 531*h - 4 - 515*h + 2161*h - 522*h.\nAnswer: -6*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13b46 - 9?\nAnswer: 13b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25)\/15*(-5 - -2). Suppose -8 - 2 = m*z. Is -3 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 354363269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6787690 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 243415 or 243414?\nAnswer: 243414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*u - 12, 5*m + u - 2*u + 16 = 0. Let o be ((-99)\/(-12))\/(-1) - (-2 - m). Which is greater: -10 or o?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*s**2 - 1)*(-s**2 + 0*s**2 + 2*s**2) + 2*s**3 - 4334*s**4 + 489794*s**2 - 489794*s**2.\nAnswer: -4336*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 6. Let m be 1 + (-4)\/(-4) - -28. Let o(z) = -26 - 25*z + 49*z - m*z. Let s be o(-6). Determine t(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3)*(-15)\/2)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/189 - 3973\/756. Let o = -5 - t. Factor 0 + 0*s - o*s**3 - 1\/4*s**2.\nAnswer: -s**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/29)\/f)\/(f**(-3\/20)*f))\/(f**(-18)\/f**(-3\/10)) assuming f is positive.\nAnswer: f**(9233\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*l - 2*h + 6, 4*h + 8 = 0. Suppose x = -l*q + 47, 195 = 5*x + 4*q + q. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -128, -457, -1094, -2141, -3700?\nAnswer: -5873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 1062*n - 1049*n + 0.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15\/2*8448\/(-316800)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = -4*x - 17*d - 165, 5*x = -2*d - 216. Let p be (4\/3)\/((-112)\/x - 2). Factor 36*t**3 - 16 - 64*t**p + t**5 + 160\/3*t - 29\/3*t**4.\nAnswer: (t - 3)*(t - 2)**3*(3*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = -5*q, -24*k + 22*k = 2*q - 8. Let r(p) be the first derivative of 0*p**2 - 2 + 0*p + 3\/4*p**k - 2\/3*p**3 + p**5. What is j in r(j) = 0?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 2:56 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 4*x**2 - 2*x)*(-x + 2*x + 2*x).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -5. Let z = 3.8 - f. Let m be 20\/(-21) - (-2)\/3. Put z, 2, m in decreasing order.\nAnswer: 2, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**4*m**3 - 73*j**4*m**2 - j*m + 31*j - 2*m**3 wrt j.\nAnswer: -36*j**2*m**3 - 876*j**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (18 - 5)*(-23 - -7 - -17)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 7*z + 8. Let r be o(-12). Let u = r - 1502\/3. Let n = 20.7 - 17. Which is the nearest to -1\/2? (a) u (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + (13 - 1 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13436 = -44*h + 14404 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -120576560 to the nearest one million.\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31349, -31393, -31433, -31469, -31501, -31529?\n\"Answer: 2*d**2 - 50*d - 31301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*d - 834 - 1128 = 582 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/5, -0.76, 255, -12, -5 in increasing order.\nAnswer: -12, -5, -2, -0.76, -2\/5, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-6)*-8)\/(-1). Suppose d = 3*q + q. Solve q*w = 0, w + 2*w + 2 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 992*k - 3544*k - 273372 = 1590*k for k.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*8\/(-30)*5 + 8. Find the third derivative of -16*y**4 + 0*y**4 - 41*y**2 - 13*y**t - 3*y**2 wrt y.\nAnswer: -696*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-6))\/((-7)\/56). Let o = -13 - -12. Let p be (o\/(-1))\/(60\/(-84)) - -1. What is the biggest value in p, -7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = m + f, f - 83 - 56 = 4*m. Let x = m - 475. What is the common denominator of 62\/27 and 3 - (x\/(-28))\/(-2 - -3)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 - 0.4. Let x = 0.3 + o. Let k be (-123)\/328 - (-14)\/16. What is the nearest to x in k, 1\/5, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983*k + 975*k = 88 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrlw when four letters picked without replacement from wkwrwkrrwwglw.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 43 = 14. Let d = -237 - -400. Suppose d = 26*y + 33. Calculate the remainder when q is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u - 1560. Suppose -66 - u = -6*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - 1. Let q = 1.1 - 0.9. Sort -5, m, q in decreasing order.\nAnswer: q, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, a: 2, z: 1, w: 6}. Give prob of picking 2 a and 1 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:29 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98.6 - -99. Put f, -0.5, -2\/3, -2 in descending order.\nAnswer: f, -0.5, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 - 3*j + 15 - 3*j**2 + 2*j**3 + 16 to the form h + a*j**3 + f*j**2 + n*j and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6203*t - 6209*t - 192 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1 - 9*m + 0*m + 3 - 1. Let b be w(-5). Is 7 + -5 - (1 - b) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(180) + 1*sqrt(180)))\/(sqrt(24)\/((sqrt(2) - (-3*sqrt(2) - sqrt(2)))*-2)).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29007383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 150745471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4086810 and 29969940?\nAnswer: 89909820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0*h + 2*h - 3*h. Suppose 167*t - 268 = 296 + 328 - 57. Let q(s) = 6*s - 1. Determine t*i(p) + q(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 12*u**2 + 79*u + 18. Let s be p(17). Does 10 divide (-47901)\/s - (-3)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20122 (base 3) to base 16.\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6*o - 4 = 0, -2*o - 925 = -3*p. Let i = -279 + p. Calculate the remainder when 38 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(85) - ((sqrt(85) - 2*sqrt(85))*-6 + sqrt(85)))\/((-2*sqrt(45)*-1)\/(sqrt(36)\/(sqrt(16)\/sqrt(4)) + sqrt(9))).\nAnswer: -17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*z = 75*z - 11141 + 9860 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39311\/3773856 + (-19774)\/(-192).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20373 or -20371?\nAnswer: -20373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 682665605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - o)*(3 + 0 - 2)*((-3 + 2 - 1)*(2 - 2*o - 2) + 1 - o - 1) in the form v*o + d*o**2 + j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 + (-99)\/(-21). Let g be (-5)\/20*0\/2. Solve 10 + g = -r*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -28, -53, -90, -145, -224?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-594015)\/(-10) + (-16)\/32 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:12 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 10. Let c be b(-4). Suppose 4*y = 4*l - 1 - 15, -l - 8 = 5*y. Solve 2 = p - n + 1, l*n = 3*p - c 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 2285138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*y**2 - 20*y**3 - 10*y**3 - 2*y + 39*y**3 - 14*y**3 to the form b + k*y**3 + l*y**2 + r*y and give l.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 486032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 4, -8, 5, -261, -1 in decreasing order.\nAnswer: 5, 4, -2\/11, -1, -8, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*x + 8 = 0, 4*l - 6 = -2*x + 2. Let j(t) = t**3 - 7 + t + 6*t**2 - 11*t**2 + 6*t**2. Determine j(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -4*g**5\/25 + 744*g**4\/5 - 550552*g**3\/15 - 555024*g**2\/5 - 556516*g\/5 + 2205. Factor k(n).\nAnswer: -4*(n - 373)**2*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.95 + -2. Let h = 0.14 + -0.14. Do h and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4053)\/(4 - 11)*(3 - 1). Suppose -3*x + 6*i = 3*i - y, x - 3*i = 388. Calculate the greatest common factor of 35 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {a: 1, p: 1, w: 1, i: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-4)*y)\/(y\/y**(-5)*y*y))\/((y**(-2\/3)\/y)\/y*y\/y**(-4)) assuming y is positive.\nAnswer: y**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 8*n - 108 = 0. Solve 3*j + 2*h + 11 = -2*h, n = -3*j - 3*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*j**3*x - 552*b**3*j**2*x - 17*b**2*j**2 - 112*j**3*x + 6*j**3 wrt j.\nAnswer: 12*b**3*x - 672*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145 + -145.141. Let v = 851.851 + -851. Let j = v + n. Round j to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 u, and 1 b when three letters picked without replacement from {a: 1, g: 2, b: 2, u: 1, z: 1, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4775 + 28645\/6. Which is the third smallest value? (a) 2\/5 (b) -3\/2 (c) 0.1 (d) -1 (e) j\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 2)\/(20\/10). Which is the smallest value? (a) -3 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2710306188?\nAnswer: 2, 3, 1051, 71633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/5 - 54*f**3\/5 + 36*f**2 - 168*f\/5.\nAnswer: 3*f*(f - 14)*(f - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 2:36 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*j - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -11*h**2\/2 + 1167. Let v(j) = -j**2 + 4*j + 2. Let u be v(5). What is the tens digit of l(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvvnnnnvvvnn. What is prob of sequence vnvv?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 154, 135, 76, -29?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12637746, 12637744, 12637742, 12637740, 12637738, 12637736?\nAnswer: 12637734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1213 - -364. Let p = -426 - d. Calculate the greatest common factor of p and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12. Let j(x) = -2*x - 35. Let q(k) = 7*b(k) + 2*j(k). Give q(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -2 + 0*v**4 - 3*v**4 - v + 4*v**4 + 4. What is the first derivative of g(h) wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1\/(m**(-5\/4)*m)*(m*m**(1\/3))**49 assuming m is positive.\nAnswer: m**(799\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19341*n - 2058*n - 3225*n)*(4*n + n - n) to the form z*n**2 + j*n + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3374140 by -220.\nAnswer: 15337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3421607 or 3421612?\nAnswer: 3421612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37308908 divided by -18654454.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001252625 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422364830?\nAnswer: 2, 5, 17, 101, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -23962*p - 95746. Determine s(-4).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**4\/3 - 34*s**3\/3 + 52*s**2 - 64*s\/3 - 256\/3 = 0?\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-22)*(n*n**(-3\/5))\/n**5 assuming n is positive.\nAnswer: n**(-133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 5, 35 in descending order.\nAnswer: 35, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -68869, -139926, -210983?\n\"Answer: -71057*y + 2188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*k. What is the remainder when (-1)\/(2\/(-46)) + k is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -32, -161, -418, -845?\nAnswer: -1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u. Let n(y) be the first derivative of 1\/60*y**5 + 0*y - 2 + 0*y**4 - 8\/3*y**3 + 0*y**2. Let j(g) be the third derivative of n(g). What is k(j(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Find the third derivative of -4*o**4 - b*o**4 + 3*o**4 + 3*o**2 - 2*o**4 wrt o.\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2899 = 8*h + 995. Calculate the greatest common divisor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 3*u - 7*z + 2*z, 0 = -u + 2*z - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-6)*(-72)\/(-4). Suppose -t*v + 3900 = 12*v. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24.1 - -19.16. Let q = c - -5. Let a = 2.322 - 2.422. What is the third smallest value in a, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -78*d - 192. What is the least common multiple of 16 and p(-10)?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-153064.82\nAnswer: 122451.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 17743 + 2143 = 0. Suppose 0 = -2*a + a + l. What is a rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -38. Let m(a) = -3*a + d + 7 + 3 + 0*a. Is m(-15) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6)\/9*12\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12445462 divided by 366043?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1, 2, -28, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.22 - -144.78. What is the second biggest value in -4\/9, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4 + 28*k**3 - 217*k**2 + 510*k = 0. What is k?\nAnswer: 0, 5, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 8*v + 10. Let q be l(-7). Suppose -3*i + 120 = -q*j, 0 = 5*i + 2*j - j - 182. Let n = i - 23. Calculate the remainder when n is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (208\/195)\/8 - 5453\/285.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1845 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4*((sqrt(1584)*-2*6 - (1 + -1*sqrt(1584))) + 1))**2 + 4 + 4).\nAnswer: 15333160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1462566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214 + 214 + 84*i)*(-32*i**3 + 32*i**3 + 3*i**4).\nAnswer: 252*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2\/3 + 4702*i\/3 + 306160 = 0.\nAnswer: -2136, -215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -424*t**2 - 10*t + 15. Let m(d) = 1274*d**2 + 28*d - 42. Let w(p) = 5*m(p) + 14*u(p). Let n(k) = 2*k**2. Give w(n(c)).\nAnswer: 1736*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -483448914 and -1790?\nAnswer: 483447124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 31322?\nAnswer: 31332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1055, 1056, 1057, 1058, 1059, 1060?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**3 + z**2 - 6*z + 3. Suppose 0*r + 4*v = 5*r - 18, -5*r = 5*v. What are the prime factors of u(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nooo. What is prob of sequence no?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 1:18 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-2)*(-183)\/(-549)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*r + 20. Sort r, -2, -1\/2 in increasing order.\nAnswer: -2, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 7*y - 10. What is the remainder when 201 is divided by j(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23488860949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 349714*t**2. Let k(q) = -6*q**2. Give h(k(v)).\nAnswer: 12589704*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22023.05 + 22023. Is -73\/5 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -12. What is the second derivative of -6*i + 8*i**2 + 4*i - 5*i**c wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 663912974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 0 + 3*z**4 + 22*z - 1\/6*z**3 + 8*z**2. What is the second derivative of n(r) wrt r?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -12.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 17 - -10 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 88*f + 2290. Calculate k(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27132 and 136?\nAnswer: 54264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, a: 4, z: 1, n: 3}. What is prob of sequence bnba?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1154812 = -12*m + 5978812. Round m to the nearest 10000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77120 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -795 - 1511 - 2869*p + 157*p - 1166 wrt p.\nAnswer: -2712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 8:27 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12)*2 + (-8 - -46)\/(-114).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8688877349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -s - s + 4*h, -2*s = -3*h - 213. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 - x - 62*x**2 + 92*x**2 - 9*x - 10*x to the form r*x + q*x**2 + u and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + g = 5*n + 5, -2*n - 30 = -5*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 9*p = -8*p - 44, -g + 16 = -p. Does 11 divide (-5)\/(120\/(-1398))*g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5038 + 3578 = 208*n + 3491 - 6731 for n.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 4 = m - 4*p, -3*p - 3 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65096*t**2 + 34554.\nAnswer: -130192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*j + 228 + 73 = -137. Let m(t) = -t**3 - 13*t**2 - t - 1. Let h(q) = q**3 + 12*q**2 + 2*q + 2. Let g(y) = -6*h(y) - 5*m(y). What is g(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0. Let d = y + 0. Let g = -4.8 + 3.8. Which is the nearest to g? (a) 3 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4304 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, l: 1, p: 3, r: 3, i: 6}. What is prob of picking 1 r, 2 p, and 1 v?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 130 = 4*r. Let s = -56 - -106. Suppose l + r = 2*d, s = 4*d + 2*l - 5*l. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53131521, -106263037, -159394553, -212526069?\nAnswer: -265657585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3092015 = 2*n + 5*t, -21*t - 7729994 = -5*n - 19*t. Round n to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 30 + 15 + 4*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 41 - 3\/5*t**5 - 5*t**3 + 0*t**2 + 9\/2*t**4 + 0*t. Suppose a(k) = 0. Calculate k.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 5. Let m be s(0). Suppose 13 = -4*d + q, m = -2*d + 2*q - 3. Let p be (4\/(-3))\/(1\/d). Solve -2*c + 4 = -p, -17 = 3*i - 2*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19\/3, 2\/3, 30, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21230 (base 6) to base 16.\nAnswer: -b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*(sqrt(19) - (sqrt(304) + 2)) + -2*sqrt(2736) + -5).\nAnswer: -48*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -0.03, -2\/9, 19, -0.5, 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u*u\/((u*(u**(-2)*u)\/u*u*u*u)\/u)*u)\/u)))**(-9) assuming u is positive.\nAnswer: u**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560537.\nAnswer: 487, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*z**2 - 171*z - 6689 wrt z?\nAnswer: 10*z - 171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91294849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 32*n**2 - n - 1. What is the hundreds digit of x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81584 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -907, -906, -905?\n\"Answer: d - 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 8 - 3*f**3 - 74\/3*f**4 + 0*f**2 - f. What is the second derivative of b(i) wrt i?\nAnswer: -592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157502.\nAnswer: 2, 61, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2 = -5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -2*u + 0*u**4 - 13\/20*u**5 + 0 - 31*u**2 + 0*u**3. Differentiate i(t) with respect to t.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h + 22. Calculate the remainder when h is divided by (-4)\/6 + 104\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818.39l in millilitres?\nAnswer: 818390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000134796 to 6 decimal places.\nAnswer: -0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3 - 641756*q**2 + 51489687256*q - 1338298076752 = 0. What is q?\nAnswer: 26, 160426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15243 is divided by 1384.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -131*i + 518. What is the remainder when k(-3) is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-9))\/(n\/n**8))\/(n**1)**(-11\/7))\/((n\/(n\/(n**(1\/23)\/n)))\/(((n*n**2\/n)\/n*n)\/n))**32 assuming n is positive.\nAnswer: n**(10333\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 115801 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: Suppose -11 - 8 = -s. Suppose -2*z = -3*z + 4*v + s, 3*v = -5*z + 3. Solve q - 7 = 2*g, z*g - 6*g + 2*q - 12 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 556.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22188*p + 13 = 22187*p + 3*z - 31, -2*p - 3*z = 61 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(700)*2 + sqrt(700) + sqrt(700) + (sqrt(700) + -3*sqrt(700))*-2)**2 + -3.\nAnswer: 100797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2)*b*b*b**(-6)*b**(-6)\/(b\/(b*b**(-5)))*(b**(-1)\/b)**(3\/29)*(b*b**(1\/2))**(-2\/37) assuming b is positive.\nAnswer: b**(-18550\/1073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v**2 - 432 - 4*v**2 + 2*v**3 + 235 - 2*v + 219. Calculate the lowest common multiple of k(7) and 431.\nAnswer: 3448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-2*n**2 + 4 - 4 + (-4 + 2*n + 4)*(0*n + 2*n - 3*n) + 14*n**2 - 45*n + 45*n + (3 - 3 + 2*n)*(0*n + 0*n + n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8070*p + 492266. Calculate o(61).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3816273, -3816271, -3816269?\n\"Answer: 2*t - 3816275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 7*z - 3. Let t be a(-5). Suppose 159 - t = 4*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -450*k + 8643 - 2583 + 2490 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/12*(-36)\/(-32)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -100?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55 + 13776\/252)\/(((-10)\/108)\/(-5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1624355315?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 15*v + 10*v + 40, 0 = 4*v - 24. Suppose f = -f - 2. Sort f, -4, n.\nAnswer: -4, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1\/13 (c) -0.5 (d) 8 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300901 is divided by 150055.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3945 and 915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121120 (base 3) to base 5.\nAnswer: -3242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -106773.1272 from 0.093.\nAnswer: 106773.2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2551816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 + 105. Solve 30*z - 70*z**3 - 80*z**4 + 15*z**5 - 14 - 1 + 105*z**4 + y*z - 10*z**2 = 0 for z.\nAnswer: -3, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(130)*5 + sqrt(130) + sqrt(130))\/(sqrt(10) + sqrt(1210) + -1*sqrt(1210)).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + 3*o**2 - 2*o - 16. Let z be s(-5). Let h = z - 629\/2. Factor -3\/2*k**3 + h*k + 3*k**2 + 0.\nAnswer: -3*k*(k - 3)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59*1188.19\nAnswer: -70103.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -25, -2 in ascending order.\nAnswer: -25, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 != 0.3339156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/210 and 37\/4.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19551 divided by 472.\nAnswer: 19551\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 0*j - 7 + 0*j**2 + 0*j**4 - 2\/15*j**5 + 2\/9*j**3. Factor m(i).\nAnswer: -2*i**2*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvgvvvvvvg. Give prob of picking 3 v.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, r: 2}. Give prob of picking 3 w.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 68 = 4*u, -5*a + 85 = -5*u + 4*u. Suppose -a*q + 181 = -414. What is the remainder when 49 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 g, and 1 o when three letters picked without replacement from {g: 1, m: 1, r: 1, v: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (111 + -55 - 37) + -56?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1288.9 + -1268.906. Let k = 20 - y. Round k to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 i, and 1 x when three letters picked without replacement from rkiiixrrir.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40064279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((102\/(-20) - (-4 - 1))*(-30)\/39)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) - (sqrt(76) + -2*sqrt(76))**2)*-3 - (sqrt(76) - ((sqrt(76) - (1 + sqrt(76))) + 4))**2)*-3.\nAnswer: -60*sqrt(19) + 939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**4 + 8*i**3 + 18*i**2 - 26. Let y(w) = -1. Let x(k) = -t(k) - y(k). Factor x(h).\nAnswer: -(h - 1)*(h + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*n - 179, 3*r + 4*n = n + 108. Let o(t) = t**3 - 7*t**2 + 8*t. Let m = -3 - -9. What is the remainder when r is divided by o(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -243760 or -243744?\nAnswer: -243744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1195104679 is divided by 610?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 20 + 71*i - 39*i + 21.\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22297, 44876, 67479, 90112, 112781?\nAnswer: 135492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, r: 1, x: 6, a: 4, e: 1}. Give prob of picking 1 x and 2 a.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -861656, -861847, -862038, -862229?\nAnswer: -862420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57.7 + -5.3. Let r = -63.000041 - v. Round r to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1616 - 1615.8. Which is bigger: u or 3\/323?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -28 (c) 1 (d) -2.1 (e) 5 (f) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 19*r - 2. Let p be i(1). Let w(t) = -t + 4 + 7*t + 0*t. Let n be w(5). Calculate the highest common factor of p and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16017 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -139*f**2 + 41*f + 5. Let j(h) = -140*h**2 + 35*h + 4. Determine 7*j(s) - 6*q(s).\nAnswer: -146*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 3*v - 4*l + 489, 5*v + 635 = 2*l. Is v at most -129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100092 is divided by 24899?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 544 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -284 + 317. What is the highest common divisor of l and 528?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g + 7 = -2*r, 2*g = -2*r - 10. Let y(b) = b**2 + 4*b - 1. Let f(m) = 2*m**2 + 5*m - 3. Let t(l) = 2*f(l) - 3*y(l). Calculate t(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -8) + -4 + 18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 342213114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 65 = -31*n - 4*o, -5*o - 55 = 2*n. Let w be 403\/52 - (n\/12 + 2). Solve r - 3*f = w, 0 = -r - 5*f - 2 - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, 15 in descending order.\nAnswer: 15, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 5:31 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650918?\nAnswer: 2, 3, 275153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 716\/3817 + -2\/347. Let q = -74.59 + 74. Let a = q + 0.49. Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 3\/5 (c) -1 (d) -3 (e) -0.4 (f) 2251\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*u + 2*u**3 + 6*u + 32*u - 3 to the form c + p*u**3 + y*u**2 + m*u and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 708.905 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*o - y - 18, -8 = -5*o - 4*y. Let a(h) = -o*h + 3*h - 1 + 1 - 1. Let g be (-2)\/(-5) + 54\/(-10). Calculate a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-259)\/(-74))\/(1\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2734575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 32*c**2. Let y(v) = -v + 2. Let j be 3\/(-2)*((-448)\/21)\/8. Let q(a) = 3*a - 5. Let s(z) = j*q(z) + 10*y(z). Determine t(s(x)).\nAnswer: 128*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 3:57 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 171483918*3\nAnswer: 514451754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let r(o) be the third derivative of -o**4\/12 + 5*o**2. Let h be r(q). What is the third biggest value in 2, h, 1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 12*k**2 + k. Let a be n(-12). Let g = a + 15. Solve g*b - 8 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 3481380?\nAnswer: 59183460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 2\/33, 1\/10, -8\/19 in descending order.\nAnswer: 7, 1\/10, 2\/33, -8\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/83 and 35\/664.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 5. What is the common denominator of 2 - -5 - 4\/(216\/615) and (-25 + o)*3\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -830680\/13 or -63899?\nAnswer: -63899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 63 = -2*p, -3*p - b = -0*b - 77. Calculate the remainder when 117 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/5 - (-124)\/20. What is the remainder when 9 is divided by c + (0\/(-2) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -34. Suppose -5*f - i = 4*y, 0 = y - 2*y + f. Let t be 1 - (-4)\/(-8)*y. Solve -5*l + j - 12 = 0, -4*l - t*j - 21 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 212 - 211. Let o = -1.9 + 2. Let q be 2 - (2 + 1\/(-9)). Which is the closest to o? (a) n (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -425 - -851\/2. Let l be 26\/(-6) + 6*(-2)\/18. Let f be (-3)\/(-12)*(0 + 4). What is the fourth smallest value in 0, f, w, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -d + 10, -4*i + 10 + 27 = -5*d. Let g(s) = -3*s - 3. Let x be g(i). Is 4 a factor of (-3)\/((-18)\/(-4))*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -540.4784 + -0.3216. Let m = 606 + i. What is m rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 184224150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) + (-187)\/(-33). Suppose 52 + 3 = j*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*f**4 - 2*f**3*g**3 + 65*f*g**3 - 5*g**3 wrt f.\nAnswer: -720*f**2 - 12*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4960 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8)*4*108\/24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 3355, 11678, 27885, 54604, 94463, 150090, 224113?\nAnswer: 319160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661 + 161 = 50*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-10)\/24*3. Let l(k) = -1 - 19*k**3 - 7*k**2 - q - 6*k + 18*k**3. Let c = -59 + 53. Give l(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -200.413 - 2.587. Sort v, 0.2, 5, 3, 1\/2 in decreasing order.\nAnswer: 5, 3, 1\/2, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 0.5, -0.5, 1\/402?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 1\/8*f**2 + 1\/80*f**5 + 9*f - 1\/48*f**4 + 0 - 1\/24*f**3. Factor r(o).\nAnswer: (o - 1)**2*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-6))\/((-40)\/(-32)). Let y = -31.07 + 0.07. What is the closest to y in f, 0.1, 1, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 25.9. Put 4, 1\/5, a in increasing order.\nAnswer: a, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/20*1*10?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.224154 - 0.224. Round p to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n**3 + 3*n**2 + 2*n + 3. Let a be r(-2). Let x = 131 - a. Suppose 4*z = 0, x = 4*l - z - z. What is the highest common factor of 32 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dduuudddjujdjudud. Give prob of picking 2 d.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 4:01 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 70?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**3 + 3*g**2 - 2. Let p be i(2). Suppose p = 4*x - 14. Let q be 8*(3 + (-2 - -11)). Calculate the greatest common divisor of q and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209174780 by 2602.\nAnswer: -80390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -595.8186 to the nearest ten.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - -3.03. Let i = 15 - 10. What is the closest to w in 0.4, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.209 less than -135427?\nAnswer: -135426.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0799 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -4. Is (5\/(k\/(-203)))\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/3 - 10*y**3\/3 - 2*y**2 + 10*y\/3 + 8\/3 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 + 335\/7. Let o = -0.35 - -0.25. Which is greater: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -170\/9 - 2\/9*a**3 - 46\/9*a**2 - 214\/9*a.\nAnswer: -2*(a + 1)*(a + 5)*(a + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d - 4*d**2 + d**2 + 0*d**2 + 13*d to the form c*d + m*d**2 + l and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000052305 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256302 and 27.\nAnswer: 768906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21a (base 13) to base 14\nAnswer: 1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -495, -1009, -1737, -2685, -3859, -5265?\nAnswer: -6909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22099*k = 22126*k - 648 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -450 - -314. Let k = 134 + u. Let z = -288\/5 - -57. Which is the fourth smallest value? (a) -4 (b) -2\/7 (c) z (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 11 = -1. Suppose -4*j + 7 = 2*l - 41, -5*l - 6 = j. Solve 0*u - 3 = -u + o, -3*o = -q*u + j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28746463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 7. Suppose -4*o = -5*b + 49, -b + 0*b + 5*o = -14. Suppose -b*a = -11*a - 16. Which is smaller: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + (0 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32436 and 40.\nAnswer: 324360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h + 4*d - 2 = 0, -3*d = -4*h - 1. Let p = 0 + h. Let l be (p\/(-5))\/(7\/5). Is l smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73081 or -73079?\nAnswer: -73081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(624)*1)\/(3*(sqrt(192) + -2*sqrt(192)) - 3*-2*sqrt(192)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*d**3 - 10 + 26\/9*d**2 - 62\/9*d.\nAnswer: -2*(d - 9)*(d - 5)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8651.439 litres?\nAnswer: 8651439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 6*w + 3. Let k = 26 + -20. Let y be u(k). Let c = -0.26 - 0.04. What is the third smallest value in y, c, 3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:05 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000740521 rounded to 7 decimal places?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 0 + 1\/5*t**3 + 1\/6*t**4 - 2\/5*t**2 + t. Factor x(z).\nAnswer: 2*(z + 1)*(5*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*n + c, 0*n - n - 2*c = 0. Suppose n*x - 80 = 4*q - 0*q, 5*x = 2*q + 208. Solve -5*z - 2 + x = -5*s, 5*s + 25 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55632?\nAnswer: 2, 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2987*j**5 - j**4*n**2 - 343*j + 3*n**2 + 3*n wrt j.\nAnswer: -59740*j**3 - 12*j**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10, 0.4, -2\/151, 3120, 5?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59164 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**5\/60 - 5*m**4\/12 - m**3\/3 - m**2. Suppose 12 = 5*f + 2. What is the lowest common multiple of f and o(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -79*f + 477. Let q be v(6). Solve 4*j + 3*p = q*j + 11, p - 21 = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**2 + 23*l + 986. What is b(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -311, -59, 361, 949, 1705?\n\"Answer: 84*w**2 - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 + 141*v**2 - 37*v**2 - 35*v**2 - 35*v**2 - 34*v**2.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 765086302 to the power of 1\/3, to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/4 + y**3 + y**2 - 2*y + 9. Determine q(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**3 + 5*x**2 + 9*x - 4. Let q(u) = -u**3 - u**2 - 2*u + 1. Let g(a) = -2*d(a) - 11*q(a). Is g(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/10*(-9 + 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/3))**6\/(u\/u**(-1\/3)*u)**(2\/49))\/(((u*u**(-1\/6)*u)\/(u*u**(-3)*u))\/(u**(-2\/17)*u**7)) assuming u is positive.\nAnswer: u**(-11\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 29 = l + a, -4*l - 5*a = -289. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221846860 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 10. Let v(h) = h - 8 + 1 + 0*h**2 - o*h**2 + 3*h**2. What is the remainder when v(-5) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 724 - 723.6. Which is the closest to -2\/3? (a) -1\/2 (b) 1.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1, 2720?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -520 divided by 2\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0111 and -3582.\nAnswer: -3581.9889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 32 = 3*b, 32 = -2*b + 953*w - 957*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2\/8 + 451*j\/8 + 30033\/2 = 0?\nAnswer: -188, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 + (-2704)\/(-91). Let k = x + -18. Let w = 18 - k. What is the remainder when w is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30b + -6?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 2*f**2 - f - 12. Let p be (-7)\/14*(1 + -7). Let y(d) = 2*d - 1. Let o be y(p). List the prime factors of h(o).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1165*i - 1574*i - 31818 + 418402 = 1654*i for i.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3.747091*-0.19\nAnswer: -0.71194729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-468)*-91)\/((-3)\/30 + 209\/90)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7500?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (3 - (3 + -8 + 13)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3367 is divided by 1668.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 314532 = -123471. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -346 or -268?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n - 5. Let q be ((-2)\/(-3))\/(1\/(-6)). Let l be 6\/q + 22\/4. List the prime factors of g(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**2 + f**3 + 959*f + 1 - 5*f**2 - 992*f to d*f**3 + a + m*f**2 + v*f and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 5*g**2 + 2*g - 4. Let k = 7 - 5. Suppose k*h + 242 = 6*h - 5*b, -4*b = 2*h - 108. Calculate the remainder when h is divided by r(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 57*u**2 + 7*u - 416. Let f(t) = 71*t**2 + 9*t - 415. Let z(g) = 4*f(g) - 5*r(g). Let z(q) = 0. Calculate q.\nAnswer: -20, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/303 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 8. Let n = 33 - r. 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 the value of 4 - -2 - (4 - (-5 - -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)\/(1\/1). Let s = l + -4. Let q = 5 + -7. Put s, 4, q in decreasing order.\nAnswer: 4, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15386691*x**3 + 15386687*x**3 + 0 + 0.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u - 78*u = 205*u - 10*u + 11692 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrg when three letters picked without replacement from {a: 2, j: 3, w: 1, p: 5, g: 5, r: 4}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5145, -5140, -5125, -5094, -5041, -4960?\n\"Answer: k**3 - k**2 + k - 5146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + (-231)\/(-35))\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 340*h**3 + 8084*h**2 + 72956*h + 214968.\nAnswer: 4*(h + 6)*(h + 13)**2*(h + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 151488.789 to the nearest 100.\nAnswer: 151500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 794.6933 millimeters in nanometers?\nAnswer: 794693300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Suppose -3*q + 0 = 5*u - 42, u - q = 10. Let h(a) = 3*a**2 + 5*a**2 - u*a**2. Determine h(p(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -34*f**3 - 4*f**2 - 4. Let x(b) = -33*b**3 - 3*b**2 - 3. Determine 3*h(c) - 4*x(c).\nAnswer: 30*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4448 and 243648?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5363 at most 5388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 99, -556, -1227, -1914, -2617, -3336, -4071?\n\"Answer: -8*u**2 - 631*u + 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59*q**3*w*z**2 + 114652*q**3*z + 26050*q**2*w*z**2 - 7*q*z**2 wrt w.\nAnswer: 59*q**3*z**2 + 26050*q**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168776*j**2 + 3*j - 42912 wrt j?\nAnswer: -337552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (2 - 13))\/((-15)\/(-18)). Is (-853)\/(6\/j*-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 15, 11, 3, -9, -25?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 12:52 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*n = -16, -2*w = 3*n - 4 - 8. Solve -2*b + 8 = -2*j - 2*j, -j - 16 = w*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 898 divided by -17?\nAnswer: -898\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1713.\nAnswer: 3426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 303*u + 0 - 275*u in the form s + m*u and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**2 + 6*v**2 + 6*v**2)*(v**2 + 3 - 3) + 0 + 2*v**4 + 0.\nAnswer: 22*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 3. Let l(m) = -3*m - 25. Let x be l(-10). What is s(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/60 + 7*g**4\/24 - 11*g**3\/6 - 7*g**2. Let n be v(5). Sort 13, -4, n.\nAnswer: -4, n, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-76 + -4 + 3)\/1. Let s = c - -164. List the prime factors of s.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 17 + (-6 - -11 - 11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -301\/20, -5, 3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 52*g**2 + 477*g - 220. What is f(-60)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0.216.\nAnswer: -2.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45468714 and 75781190?\nAnswer: 227343570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -88433, -353557, -795427, -1414043, -2209405?\n\"Answer: -88373*z**2 - 5*z - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-11)*z*z\/(z*z**(-6)))**(-26) assuming z is positive.\nAnswer: z**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105316488?\nAnswer: 2, 3, 419, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -244393032 by -40732172.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(108) - sqrt(108))*-5)\/(sqrt(40)\/(sqrt(30)\/sqrt(3))))\/((-2*sqrt(2205))\/(sqrt(5) + (sqrt(605) - 2*sqrt(605)))).\nAnswer: -25*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(0 - i + 0 + (-i - 1 + 1)*(2 + 0 - 1) - 4*i + 2*i + i + 3*i - 2*i - 3*i + (3 + 4 - 6)*(-4*i + 0*i + 3*i) + 3*i + 3*i + i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180 + 191. Suppose -20 = v*x - 9. Sort 4, x, -4.\nAnswer: -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26209.00020789 - -26209. Round x to 6 decimal places.\nAnswer: -0.000208","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((0 - (0 + 7)) + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 507068*p + 50686800.\nAnswer: 2*(p - 253434)*(p - 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**5 - j**4 + j - 1. Let y(c) = -9*c**5 - 6*c**2 + 9*c - 6. Let b(k) = 6*g(k) - y(k). Factor b(n).\nAnswer: 3*n*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -712.671043875.\nAnswer: -710.671043875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 4 (c) 0.031 (d) -2\/9 (e) 5 (f) 29.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 598437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - 21*x**2 + 83*x - 128. Is n(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -16*b**3\/3 - 27*b**2\/2 + 8. What is the second derivative of i(x) wrt x?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 4. Let h be x(2). Let o be (-12)\/h - 6\/2. Factor -1\/3*t**o - 1\/3*t**2 + 1\/3 + 1\/3*t.\nAnswer: -(t - 1)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 1. Let m be d(5). Suppose 3*c + 19 = m*x, 3*x + c = 16 - 5. Suppose -x*j + 14 = -14. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 2 = 4*h + 8*s, 0 = -3*h - 3*s - 21 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**2 - 1. Let b be v(1). Let y = 26 - 24. Solve -5*c - y*r - 12 = 0, -3*r - b = 3*c + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7381 divided by 13.\nAnswer: 7381\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*p**5 + 4*p**2 + 42*p - 3?\nAnswer: 500*p**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-420)\/20 - -19\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(200)*-1)\/((sqrt(112)\/sqrt(4))\/sqrt(7)) - (4*sqrt(4)*-1)\/(-2*sqrt(72) - sqrt(72) - sqrt(72) - sqrt(72)).\nAnswer: 223*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30, -48, -78, -120, -174, -240?\n\"Answer: -6*v**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91797155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a factor of 1048362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-7 - -4) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 201 (b) -0.08 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/164*2\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*a*h*v**2 + 2*a*h*v - a*v**2 - 535*a*v - 980*a + 6*h*v**2 + 809*v**2 wrt v.\nAnswer: -28*a*h - 2*a + 12*h + 1618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/7 - 10987*a**2\/7 - 113796*a + 1637100\/7 = 0.\nAnswer: -10914, -75, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 - 83 = l. Suppose 2*g - l*d - 7 + 33 = 0, -10 = -2*g - 5*d. Let a = 0.222 - -4.778. What is the smallest value in g, 4, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1056*u + 2361. Let y(h) = 1077*h + 2360. Let z(d) = -4*s(d) + 3*y(d). What is the first derivative of z(l) wrt l?\nAnswer: -993","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 5*g**2 - 5*g + 5. Let n be l(4). Let w = n - -55. Solve -4 = -4*x - w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - ((4 - 11) + -3)) + 108 - (83 - 70).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**6\/120 - f**4\/12 + f**3\/3 - 8*f**2. Let x be h(2). What is the units digit of 12 - ((3 - x) + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389704 = -2*f + 58*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**2 + 2*h - 2. Let l = 85 + -69. Let d(v) = -v + 3*v**2 + 10 - 36 + 12 + l. Let o = 2 - 5. Determine o*d(q) - 2*x(q).\nAnswer: -q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-98)\/(-21))\/(6\/369). What is the greatest common divisor of 41 and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 n when three letters picked without replacement from {h: 5, w: 3, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9.509906 weeks?\nAnswer: 95859.85248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -400479618 and 3?\nAnswer: -1201438854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or -72?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48110, -48107, -48104, -48101, -48098?\nAnswer: -48095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(19\/2)))\/z*z\/((z**(-39)*z)\/z*z)*z)\/(z*z*z**(-1\/65))**6 assuming z is positive.\nAnswer: z**(2287\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Let m(n) = 4*n**2 - 2*n + 1. Let i be m(z). Suppose -2*b + 2 = -q - 9, 0 = -2*q - 10. Solve -2*w - 2 = i*x + b*w, -w = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14019.168 and -0.2?\nAnswer: 14018.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -21*n**4\/4 - 447*n**3\/4 + 231*n**2\/2 + 735*n + 198 = 0.\nAnswer: -22, -2, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 38, 2 in increasing order.\nAnswer: -1, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133044828.\nAnswer: 2, 3, 7, 1583867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + -0.8. Suppose 0 = 10*h + 65 - 5. Let x = -36146 + 36146.3. Which is the closest to 1\/3? (a) h (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let j(z) = -2*z**2 + 7*z - 1. Let p be j(3). Let k(f) = -3 + 13*f + 2 + p*f - f. What is y(k(u))?\nAnswer: 14*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 14*m**2. Let v(z) = 5*z. Let a(n) = -n. Let h(t) = -3*a(t) - v(t). Determine h(s(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 3*w + 3. Let a be z(3). Let j = a - -8. Suppose 9*t + 102 = j*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9480?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63406477*q**4 - 7*q**2 - 3726504*q wrt q.\nAnswer: -1521755448*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 39. Find the common denominator of -41\/16 and 728\/40*k\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**3 + 4*o**2 + 3*o - 3. Let j(q) = 4*q**3 + 5*q**2 + 4*q - 4. Let a be 2\/((-3)\/(-3))*6\/3. Determine a*j(u) - 5*f(u).\nAnswer: u**3 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - 2*b)*(-2 + 2 + 1)*(-9 - 29 - 1).\nAnswer: 78*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18))\/((-48)\/9 - -5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19943717 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 5. Let f be 10\/(-8)*(-5 + 1). Let s be o(f). Let h**4 + s + 1\/3*h**5 + h**3 + 0*h + 1\/3*h**2 = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8182*t**3 - 6621*t wrt t?\nAnswer: 49092*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - u = -12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*u + 4*w + 7, -2*u - w + 11 = 0. Suppose o + c = 40 - 15, u*o = 3*c + 93. What is the highest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 8*s**2 - 7*s. What is d(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3 + 124*l**2 - 1152*l - 25920 = 0.\nAnswer: -10, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051641 (base 9) in base 10?\nAnswer: 1096939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1542 is divided by 1375.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Let v = 99 + -95. Suppose v*w + 2*t = 2*w + 14, 5*w = -t + 19. What is the biggest value in n, w, 1, -5\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 19*g + 8. Suppose 379*t = 62*t - 170*t - 9740. Calculate x(t).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 145 from -0.02.\nAnswer: -145.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**2 - 244 - 2*x**2 + 495 - 251 + x**2 + 9*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2439, 4530, 6621, 8712?\n\"Answer: 2091*u + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1487093.\nAnswer: 1487093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 45589.\nAnswer: 4\/45589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 945 + 5481. What is the greatest common divisor of s and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let g be z(-1). Calculate the common denominator of (32 - -2)\/(g + 0) and (-32)\/(4\/2 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/((-2)\/40). Let a = p + 16. Suppose 2*b - 16 - a = 0. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-20)\/((-4920)\/1).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-13)\/78*8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4053)\/5 - 5\/75*6. Let f = -524 - n. Suppose z - 5*q = 35, -5*z + 0*z - 3*q = -f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8*c. Let g(k) be the first derivative of k**2\/2 - 6. Determine u(g(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -4)\/(4\/(-8)). Solve -2*v = -2*o + 5*o + y, 4*o = 2*v - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45391 + 45391. Suppose -2\/3*h**3 - 2\/3*h**5 + 4\/3*h**4 + 0 + w*h**2 + 0*h = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3))\/(((-4375)\/225)\/(-35)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 366, 203, 40, -123, -286?\n\"Answer: -163*d + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 0.5\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4101 - -4116. Solve 7*q + 3*d + 5 = 11*q, 0 = 2*q + d - f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-80)\/(-4) + (-9)\/(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mccc. Give prob of sequence cmc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 0.5 (b) 3 (c) 2\/31 (d) -2\/9 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217815663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -62, 1 in increasing order.\nAnswer: -62, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 257561 by 1.\nAnswer: 257561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14206, -14269, -14332, -14395, -14458, -14521?\n\"Answer: -63*y - 14143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2\/9 + 962*z\/3 - 56920\/9 = 0.\nAnswer: 20, 1423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*4\/(-30)*(-18)\/(-6732)*110\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/247457 and 40\/307487.\nAnswer: 114077677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1247*u - 53583 = 236*u for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - 2*j**3 - 2*j**4)*(3*j - 4*j + 2*j) + 11700*j**2 + 286*j**5 - 11700*j**2.\nAnswer: 284*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 3*b - b + 49, 5*b = -4*n + 27. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/2 (b) 0.5 (c) -2\/7 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 4 - (62\/217)\/((-4)\/406).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.522648 kilometers in millimeters?\nAnswer: 522648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1699*i + 1709*i - 3403*i. Let q(u) = -24*u. Give r(q(d)).\nAnswer: -120*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-760)\/8550*(-10)\/12?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*r = -18, -3*h + 0*r - 4*r = -35. Solve 5*d + h = -3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2463341, -4926684, -7390027, -9853370?\n\"Answer: -2463343*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:41 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -11*k - 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 565973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -10\/792141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.52? (a) 379 (b) -0.1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -4371045?\nAnswer: -4371052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26412025.\nAnswer: 5, 1056481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/(-4) - (-14019)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.08 (b) -2\/3 (c) -1\/3 (d) 2\/23 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 4781.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 581 - 563. What is the least common multiple of 60 and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -83, -97, -99, -83, -43?\n\"Answer: f**3 - 21*f - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 26942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 143, -2\/3, -0.4 in decreasing order.\nAnswer: 143, 0, -0.4, -2\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -3076351.\nAnswer: -3076350.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -24.8 >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2581, -20295, -68253, -161569, -315357?\nAnswer: -544731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 467 - (-20 + 18)*-5*1\/2 and 189.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 6. Let g be v(3). Suppose 3*w = g + 15. What is the third derivative of 3*o**5 - 5*o**5 + 2*o**2 + w*o**5 wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.5 + 10.5. Is 7\/13 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -20*h**2 + 20*h + 3. Let c(u) be the second derivative of -7*u**4\/12 + 7*u**3\/6 + u**2\/2 - 6*u. What is 17*c(g) - 6*q(g)?\nAnswer: g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssh. Give prob of picking 2 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-6)\/27)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 961*h + 33270 + 6924 - 2715 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 0.17, -2, 2, -0.2, 28?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 3*(-2)\/6)\/(20\/(-96))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6087.7 + 6088. Which is the smallest value? (a) o (b) 3 (c) -2\/2647 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 696 and 180.\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**5 + 198*h**4 + 3928*h**3 - 20562*h**2 - 631193*h - 606900 = 0?\nAnswer: -175, -17, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10427682273 + p**3 + 2*p**3 + 10427682266.\nAnswer: 3*p**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 14*a**5\/25 + 33*a**4\/10 + 12*a**3\/5 - 8*a**2\/5 - 450. What is g in b(g) = 0?\nAnswer: -4, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 10:24 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-3)*16\/((-448)\/(-21))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0608995984 rounded to 6 decimal places?\nAnswer: 0.0609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42\/4*2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*l - 18, 4*w + 617*l = 622*l + 21 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (-139 + 119 - (-17 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*v**3 + 1954*v**2 - 6880?\nAnswer: -33*v**2 + 3908*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*-4*(sqrt(720) + 1 + sqrt(720)))**2.\nAnswer: 6912*sqrt(5) + 414864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/9 + 5017\/261. Solve l = d + 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 3*x**2 + 1. Let m be h(2). Suppose -34 = -m*r + 216. What is the first derivative of 52 + 2*f**2 - r - 8*f**2 wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 + 11*g + 8. Let s be j(4). Which is the second biggest value? (a) s (b) -28 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*t - 1. Let v(k) = -k**3 + 2 + 2 - 7 - 5*k**t. Let w be v(-5). Sort -5, w, -4.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -121*g. Let c be a(-1). What are the prime factors of (-12)\/(-18) - c\/(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -45*k**5 + 15056634*k**4 - 1259229945318*k**3 - 37955020019316*k**2 - 288467111540205*k - 37790510473350 = 0.\nAnswer: -15, -2\/15, 167311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3cb + 0?\nAnswer: -3cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*n - 2136 = 2*h, -3*h = 2*n + 6450. Let a be h\/28 + (-6)\/21. Let w = 107 - a. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22672, -45339, -68000, -90655, -113304?\nAnswer: -135947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 67 = -249. Let y = z - -96. Calculate the smallest common multiple of 17 and y.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 5*l - 5*l + (-3 - 4 + 2)*(33 + 81 + 452*l - 453*l) to u*l + x and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/6 + 2\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173454000 rounded to the nearest 1000000?\nAnswer: -173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.53 - 0.43. Let i = 253 + -177. Let p = i + -76.5. Which is the closest to g? (a) 0.11 (b) 1\/6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2. Suppose -4*h + 5*x = -7245, 25 = 2*x - 7*x. Let q(r) = 2*r - 1848 + 0*r + h. Give q(a(f)).\nAnswer: 4*f**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l**2 + 266*l\/5 - 237\/5 = 0.\nAnswer: -3, 79\/115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.4 - -30. Let p = 268157.60006 + -268155. Let o = p - y. Round o to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - 1 + 1 + (-3 + 4 + 0)*(4*l + 0*l - 2*l) to the form c*l + s and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 590 - 1768\/3. Which is the nearest to -0.06? (a) -1.2 (b) n (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*y - 3*b + 13, 2*y - 4*b = -22 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287.52867 rounded to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - w. Let m(y) = 7*y**2 + 6*y. Let z(x) = 6*c(x) + m(x). Let p(d) = -125*d. Give z(p(u)).\nAnswer: 15625*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + -1c93?\nAnswer: -1c7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 4) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7485 - 6.2.\nAnswer: -6.9485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*y - 4*p + 1578, 4*y + 2145 = -5*p. Let b be (-3 + -4 + y)\/(-2). Let i = -118 + b. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7 - -17) + -43 - -46) + 56 + (4 - 3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -4.\nAnswer: -4, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**5 - 3*z**2 + 3*z**5 + 5*z**2 + (-3*z - 20*z - 23*z)*(2*z**3 + 2*z**4 - 2*z**3).\nAnswer: -93*z**5 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.87688285 rounded to 4 decimal places?\nAnswer: -5.8769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1076*d + 1076*d - 126*d**2.\nAnswer: -126*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17, 43, 69?\n\"Answer: 26*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/((-36)\/(-20)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7195.681 + -7414.644136. Let s = r - -200.9631. Let i = s + 18. Round i to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -14*x**3 - x**2\/2 + x + 1. Suppose -151*n + 17 + 150 = 16*n. Give z(n).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 19. Let u be 126\/(-10) + (-2)\/5. Let h be n(u). Suppose 5*c - h*c + 12 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3022490651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44\/99*6\/(-4). What is the closest to -1\/4 in 1\/8, m, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7397851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 - 10*m + 20. Let j be b(6). Let z be 1221\/814*(-624)\/(-2). Calculate the highest common divisor of j and z.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -3*t + 4*v + 6, -4 = -t + 3*v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 50 = -4*m, 3687038*d - 3687037*d = 4*m - 27 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbubbbbbbbbbbbsb. Give prob of sequence su.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, n: 2}. Give prob of sequence ln.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 322155*v**3*w + 2*v**2*w + 4*v*w - 163*v - w + 20 wrt v.\nAnswer: 1932930*v*w + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186626532 and 3012?\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {b: 3, h: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmw when three letters picked without replacement from mamwawwwgm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/(-55) - (-4)\/10. Let k = d - -4. Solve -4*p + 3*u - k = 0, 3*u + u - 4 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-15))\/((-4)\/(-540)). Calculate the common denominator of 12\/n - (2 - (-1004)\/1440) and -71\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/6 - 1\/(-3). Let n = 8 - v. Calculate the least common multiple of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + -3.9. Let o(m) = -3*m**3 + m**2 + 12*m - 9. Let t be o(5). Let j be ((-260)\/t)\/10 + 42\/46. What is the biggest value in -2, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4817132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1443020 + 1443020 - 935*l in the form z + g*l and give g.\nAnswer: -935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -676 (base 9) in base 11?\nAnswer: -465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3621 and 697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 168557436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2232389*f. Let a(w) = -18*w**2. Give m(a(p)).\nAnswer: -40183002*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*z = -106*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -129895 at least -130000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -n + 10, 0*n - 7 = -n - 2*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -4*t - 3*x - 958, 2*t - 3*x = 482. Let h = t + -113. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g - 31619 + 86414. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-525)\/(-50))\/(2\/(24\/(-6)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*f + a, 0 = f - 0*a - a - 13. Suppose 6*n - f = 3*n. Find the first derivative of -m**2 - n*m + 3*m + 1 wrt m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1830138, 3660272, 5490406, 7320540?\nAnswer: 9150674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**3 + 2*m**2 + m. Let s(l) = -2*l**3 - 7*l + 2*l**2 + 16*l + 0*l**3 - 8*l - 4*l**3. Let q be (-4 + -3 + 6)*-3. Calculate q*s(p) - 4*z(p).\nAnswer: 2*p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l**2. Let m(j) = -2*j**3 + 1. Let f be m(1). Calculate the remainder when 32 is divided by p(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6283, -25158, -56615, -100654, -157275, -226478, -308263?\nAnswer: -402630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -72. Calculate the lowest common multiple of 32 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dup when three letters picked without replacement from {p: 1, z: 1, l: 5, v: 3, u: 1, d: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 4*s + 0*s + 3*s - 3*s + s + (3 + 4 - 4)*(3*s - 2*s - 3*s))*(-2*s + 4*s + 0*s) + (-s + s + s)*(-s - s + s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 357111844 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 8*h + 1. Let b be w(-7). Suppose 0 = n + 3*q + 1 - b, -4*n = -3*q - 13. Suppose n = c - 5. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f - f**3 - 28*f - 9*f**2 + 8*f - 3. Calculate the remainder when 33 is divided by t(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**5 + 2170*x**4 + 25806*x**3 + 57934*x**2 - 8656*x - 77256 = 0.\nAnswer: -1073, -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 1:28 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvc when three letters picked without replacement from cddvcdgrcr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 2:33 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 329*o - 3697. Let m(a) = 68*a - 739. Calculate 29*m(s) - 6*y(s).\nAnswer: -2*s + 751","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:23 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 133*j + 2403. Let o be x(-18). Solve 742*w - o = 745*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3303\/7 or 472?\nAnswer: 472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/(-3) + 0 + 3. Let p(v) = 2*v + 20. Let d be p(c). What is the highest common divisor of 5 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6482783572 to the nearest integer?\nAnswer: 80516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-3)\/(-12)*32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 19. Determine m(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 28*n - 17. What is g(-28)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -335*a*u**3 - 6*a*u**2 - 36*a + u**3 + 41*u wrt u?\nAnswer: -2010*a*u - 12*a + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 213318 - 910217 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 3*q**2\/2 + 36*q + 1. Let h be g(0). What is the highest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 at most as big as 988539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*d**4 - 40125*d**3 + 85*d**2 - 3243 wrt d?\nAnswer: -3288*d - 240750","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 6 + 968\/(-180) + (-2)\/9\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 0 - 9\/4*o**4 + 211*o + 0*o**2 - 227\/6*o**3. What is the second derivative of q(p) wrt p?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, -55, -134, -235, -352, -479, -610?\n\"Answer: o**3 - 20*o**2 + 2*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 256\/(-6)*(-36)\/8 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04306 - -137.42306. Let q = -137 + s. Let c = q + -0.68. What is the closest to -0.07 in 4, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.3, -6\/143 in decreasing order.\nAnswer: 2\/5, -6\/143, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 4*s**2 - 3*s - 4. Let j be a(5). Let c(q) be the second derivative of -q**3\/6 - 15*q. Determine c(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15112444201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/19934733 and 34\/486213?\nAnswer: 19934733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**4\/4 + 7*w**3\/3 + w**2\/2 - 8*w - 2. Let i be f(-6). Let l = 233 - i. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 188799, -25.\nAnswer: -25, -5, 6, 188799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 - 21*v + 2. Let z = 25 + -31. Does 20 divide d(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -21753175?\nAnswer: 21753177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/297)\/(1134\/140 - 8)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-3)*(-27)\/18. Suppose 0 = j*s - 10*s + 40. Solve -2 = 5*l + 2*i + 12, 0 = 5*l - i + s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/7 and 139\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5*q + 10 = 0, -118*s + 120*s - 3*q = 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 487000 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666 a factor of 59672539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1586 - -2?\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g = 17*g + 1140. Let c = 670 - g. Is c a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0*c + 0 + 1\/120*c**6 + 1\/12*c**4 + 1\/6*c**3 + 1\/20*c**5 - 10*c**2. Calculate r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.039 + 24.961. Let b = f + -25.00000057. What is b rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*c + 329, d - 5*c = -2*c - 325. Let y = -203 - d. Calculate the greatest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 + 146. Calculate the remainder when 114 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 161, 220, 277, 332, 385?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 1437917060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(931)*-2 - sqrt(931) - sqrt(190)\/(1*sqrt(10))) + ((sqrt(475) + 0)*2 - sqrt(475) - (sqrt(475) + sqrt(475) + 1 + sqrt(475) - sqrt(475))*-3)**2.\nAnswer: 188*sqrt(19) + 23284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/5517?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 406419027 divided by -3?\nAnswer: -135473009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2664*f - 639*f - 1381*f - 645*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + 3*(-1*sqrt(98))**2).\nAnswer: -1480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3, -5*s = 2*h - 3*s. Let c(d) be the third derivative of -d**6\/8 + d**5\/60 - d**2 + 105. Determine c(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 4:28 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbw when three letters picked without replacement from wbq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5 + (-2 + 4 - 4)*(2 - 4 + 1) + 3 - 4 + 3 + 3 - 3 + 5)*(6*c - 3*c - 2*c + (4 - 2 - 4)*(1 - 2*c - 1) - 2*c + 3*c + 0*c + 2*c + 3 - 3).\nAnswer: 56*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*o*p**4 + 2*o*p - 356*o - 19*p**4 wrt p.\nAnswer: 12*o*p**3 + 2*o - 76*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/231)\/((120\/(-1414))\/5)*(-72)\/(-12).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5497*s - 140 = -5502*s for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1983 - 1046. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from kakakkkkmakmkkkkk.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2047108764 rounded to 4 decimal places?\nAnswer: 0.2047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**4*y + 4*i**3*y + 12*i**2*y - 2*i*y + 269*y wrt i?\nAnswer: -48*i**2*y + 24*i*y + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4131141 (base 7) in base 4?\nAnswer: 1320312303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -2. Let c = n - -6.6. Let d = c + 0.9. What is the second biggest value in -2, -4, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 10*z**2 + 23*z + 20. Let p be o(12). Suppose -4*c = -b - 4 - p, -3*c = 4*b - 9. Solve 0 = -2*d - 3*q + 22 - 5, -2*q + 6 = b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 16*h = 72. Suppose -h*a + 11 + 7 = 0. Which is bigger: 143 or a?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*p = -10381 - 9259, -4*p = -8. What is o rounded to the nearest one hundred?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -10650?\nAnswer: 10641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2167916?\nAnswer: 2, 41, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123367124 to the power of 1\/2, to the nearest integer?\nAnswer: 11107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 283*i + 2885. Determine l(10).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.7. Let r = -75 - 68. Let i = r - -135. What is the nearest to 0.1 in -1\/3, h, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -15*w**5\/2 - 159*w**4\/2 - 429*w**3\/2 - 357*w**2\/2 + 6*w + 42 = 0.\nAnswer: -7, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6754 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.0358\nAnswer: 0.00358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + d + 2. Let v be m(-2). Let l = v - 4. Calculate the remainder when 15 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-225) - 5757\/(-5130).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15088 times 5?\nAnswer: -75440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2227 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*m - 5 = -3, -4*k - m = -10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 18*m**2 - 127*m + 400. Let p be a(4). Solve -202*h + p*h = 154 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 - -0.07. Let f = -109 - -3367\/31. Let l = -70\/341 - f. What is the closest to 0.1 in -5, l, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-1)*b*b**(-8)*b**(-12)\/((b*b*(b\/(b**(-9)*b))\/b)\/b) assuming b is positive.\nAnswer: b**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 5. Let y = -58 + 55. Which is the closest to q? (a) 4 (b) -3\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(78) + sqrt(78) + (sqrt(78) - (sqrt(78) + -6*(2*sqrt(78) - sqrt(78))) - sqrt(78)))\/(sqrt(18)\/sqrt(3)*2)*3)**2.\nAnswer: -63*sqrt(13) + 5769\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 11:17 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18322.5048 + 18330. What is w rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -6*g + 24. Let k be -9*6\/(-9) - -2. What is the highest common divisor of k and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 705 - 494. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 + 10*g - 12. Let i be n(5). Let o = i + -159. Sort o, -103, 3 in decreasing order.\nAnswer: o, 3, -103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 953070.\nAnswer: 3812280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*l - 14 - 22 = 0, j = -4*l - 24. Calculate the least common multiple of 7 + -2*2\/j and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3630442393\/1904 - 1906745. Let k = h + -2\/119. Which is the closest to -0.1? (a) 1 (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 39 = -5*v - 23, -3*v = s - 20. Which is bigger: s or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -18*(4 - (-16)\/(-3)). What is the greatest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 0*h + 9. What is the second derivative of h*s**3 - 3*s**3 - 4*s + 3*s**3 wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 8240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12212020 + -12?\nAnswer: -12212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/6*1*-4. Let r(w) = 2 + 4*w**2 - 2 - y*w**2. Let n(s) = 2*s**2. Determine r(n(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 718307 and 13755043?\nAnswer: 10721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 34, 49, 64, 79, 94?\n\"Answer: 15*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 5*p + 2*p + (0*p - p + 0*p)*(-1 - 2 + 6) + 4*p - 5*p - p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15666 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b + 2*b**2 - 3612 + 7227 - 129*b**3 - 3614 to the form o + c*b**2 + i*b + d*b**3 and give d.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(sqrt(130) + 5*(sqrt(130) - (sqrt(130) + -4*sqrt(130) + sqrt(130)))))\/(5*(sqrt(20)\/sqrt(162) - sqrt(10)))*-2.\nAnswer: 324*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 9*l + 9. Is z(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 2. Let x(i) = -2*i**2 + 4*i**2 - 1 - 2*i**2 - 5 + 5*i**2. What is -8*w(v) - 3*x(v)?\nAnswer: v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(-63) - (50675888\/168)\/(-19) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(2\/(-72)) + 3 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 2*i + 4\/225*i**6 - 27 + 2\/45*i**4 - 1\/45*i**3 - 1\/25*i**5 - 1\/315*i**7 + 0*i**2. Factor o(f).\nAnswer: -2*f*(f - 1)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8333 + 24036. List the prime factors of q.\nAnswer: 32369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 7*a + 7. Let t be l(-7). Solve 0 = 2*y + 1 - t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-1))\/1*9. Let b(r) = -5 + 5*r**2 - 2*r**2 + j*r - 4*r**2. Is b(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4153*h - 4422 = -4737 - 16297 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 3*a + 2. Let j = 1 - 4. Let u = -1 - j. Let v be (-2 - u)*(-3)\/(-4). Determine y(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3234 rounded to one dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/8 + v**4\/2 + 5*v**3\/2 - 49*v**2\/4 + 125*v\/8 - 25\/4 = 0. What is v?\nAnswer: -5, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4823675 and 250.\nAnswer: 48236750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142 by -43.\nAnswer: 142\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.52827 meters in nanometers?\nAnswer: 4528270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 7 - 9. Solve 3*i + 3*q + 9 = 0, 5*q = 5*i + f - 19 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 5*v**2 + 11*v + 11. Let n be d(-8). Suppose 11*k = 521 + n. Which is bigger: 117 or k?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 4:41 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.12 and 20.08565?\nAnswer: 20.20565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13499 - 13286. Calculate the remainder when 3395 is divided by v.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 23. Let q(j) = j - 2. Let y be q(b). Solve 3*x + y*o = o - 4, 5*x + 3*o = -12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00245 rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 - -13 - (1 + 0)*(-2095509)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 15. Suppose 0 = -9*g + w*g - 15. Let x(t) = 16*t - 6. What is the units digit of x(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 59*v**2 - 133*v - 7. Let o(p) = -42*p + 37*p + 49*p + 2 - 20*p**2. Let d(r) = -7*o(r) - 2*u(r). Find the second derivative of d(w) wrt w.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + (-1 + sqrt(500) - sqrt(500)) + 3)*-5)**2.\nAnswer: 1000*sqrt(5) + 12600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koo when three letters picked without replacement from otkttotktottoooo?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/15 - 98\/255. Sort 0.5, w, 6\/7 in descending order.\nAnswer: 6\/7, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/8 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*r + 47*r = -48342. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(11 - (5 + -1)). Let o be d\/63 + (-223)\/(-9). Let j = 62 - o. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**6\/180 + o**4\/6 + 2*o**3\/3 + 4*o. Let w(f) be the second derivative of l(f). What is the derivative of w(x) wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/7 + 12*r**2\/7 + 5499*r\/7 - 181138\/7 = 0. What is r?\nAnswer: -82, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p**3 + 8*p**3 - 2*p**2 + 2*p**2.\nAnswer: 25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3516926289.9 + -0.3.\nAnswer: 3516926289.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178073 is divided by 70.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**3 + f**3 + f**3 + (6717143*f - 26*f**2 + 71*f**3 - 6717143*f)*(0 + 0 - 2) as x + u*f**3 + s*f + c*f**2 and give c.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a - 0?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3760, 1761, 10962, 23843, 40404, 60645?\n\"Answer: 1840*j**2 + j - 5601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001 - -0.7?\nAnswer: 0.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, 3, -4, 0.5, -19, 1\/7 in decreasing order.\nAnswer: 3, 0.5, 0.15, 1\/7, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -100*q**3 + 18189920*q**2 - 827201163636*q + 1654329568392 = 0.\nAnswer: 2, 454743\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*u - 38450, -8*x - 7690 = -u - 5*x. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 2:24 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 184 + 29.8488.\nAnswer: 213.8488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03977997 rounded to three dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 4.88. Let b = -0.218 - p. Let c = b - -0.1. Round c to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eevv when four letters picked without replacement from {e: 8, v: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 17764 = -3*f + 69910, 0 = 5*f + r - 86926. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 21 - 3 - 12.\nAnswer: 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 18 = 5*x, -x + 3*o = -4 - 4. Suppose -5*g - 2*p = -10 - 130, -3*p + 67 = x*g. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**3 + 1 + a**4 + 21*a**3 + a**2 - 13*a**3 - 6*a to the form y*a**3 + j + d*a + u*a**2 + n*a**4 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 5*w - 21, -5*s = -73*w + 71*w - 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165355353 to the power of 1\/2, to the nearest integer?\nAnswer: 12859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 2*b + 3*b)*(b**2 + 3*b**3 - b**2) - 5*b**4 + 2*b**4 + 2*b**4 + 2*b - b**4 - 2*b.\nAnswer: -11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**4\/12 + 2*x**3\/3 - 9*x**2. Calculate m(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 13 = -0*b + b, 3*b - 39 = z. Let j(y) = -10*y**2 + 22*y**2 + y - b*y**2. Let r(l) = 18*l**2 - 15*l. Give 15*j(f) + r(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.669 - 0.3.\nAnswer: -0.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16548499.\nAnswer: 11, 1504409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-12))\/(36\/(-54)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*q - 2 - 14 = 0, 5*o = 3*q + 21. Suppose -o = -2*a + 5. What is the second derivative of 5*k**4 - k**2 - 4*k**4 - a*k + k**2 wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -20 + -24 + -15?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 414*s + 5187. Calculate o(-14).\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 338330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5460 and 840?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2 + 1727724*r - 1727722 = 0.\nAnswer: 1, 863861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 8 - 3 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/68*(-4)\/54*(-45)\/5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 4 + (8 - 366\/24). What is the closest to -0.2 in z, 0, 2, 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5144 (base 13) in base 9?\nAnswer: -16335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**4\/5 - 1407*f**3\/5 - 161409*f**2\/5 + 836847*f\/5 - 674028\/5 = 0. Calculate f.\nAnswer: -237, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**4\/6 - z**3\/4 - z**2\/4 + 29*z + 49. Let k(b) be the first derivative of m(b). Factor k(i).\nAnswer: (i - 1)*(4*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -6 + 7 + 9 - -9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o + 5 - 1561138*o**2 + 0 + 1561137*o**2. Let a(s) = -s**3 + 7*s**2 - 9*s + 9. Let b be a(6). Calculate h(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 102 = 38. Let c be (2 + 104\/r)*-7. Solve 0*t + 4*t = -c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 861, 906, 989, 1116, 1293, 1526?\nAnswer: 1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5225 divided by 6435.\nAnswer: 95\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v. Let y(m) = -47895*m**2. Calculate y(p(d)).\nAnswer: -191580*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 q when four letters picked without replacement from {w: 7, i: 7, q: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 6*m - 3. Let k be o(6). Let w(c) = -c**3 - c**2 + 4*c + 3. Let d be w(k). What is the second derivative of 3 + 5*l**5 - d*l**5 - 3 - l wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + (sqrt(99) - (-1 + sqrt(99) + -2)))**2 + (sqrt(1100)*2 - (0 + sqrt(1331)))**2*1.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10246 is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29, 58, 87, 116?\n\"Answer: 29*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**3 + f**3 + 3*f**3 + (-3*f**2 + 0*f**2 + 5*f**2)*(0 - f + 0).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(72)*-2 - sqrt(72)) + (sqrt(192) + -2*sqrt(192))**2 + -1.\nAnswer: -sqrt(3)\/18 + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7002 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2700) - (sqrt(2700) + sqrt(2700)*1*5) - (2*sqrt(2700) - sqrt(2700))*-6)\/(-3*(-1*sqrt(81) + 2*(sqrt(9)*2 + sqrt(9)))).\nAnswer: -10*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/14227458 and 61\/252.\nAnswer: 85364748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 125 = 7*s. Let g(w) = w. Let z be g(3). Suppose -2*l + 750 = z*l. Calculate the greatest common divisor of s and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111.2, 4, 54 in descending order.\nAnswer: 111.2, 54, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 16*c + 110\/7 + 2\/7*c**2 = 0.\nAnswer: -55, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*j - 5*j + 6, 3*j = s + 11. Let w = 16 + -8. Let p = w - s. What is the remainder when 10 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12078?\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.216 - -0.116. Is -1.4 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1227551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/7)\/((-4)\/28). Suppose g + 41 = 4*c. Calculate the remainder when (1 + 1)\/((-3)\/(-78)) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2\/13, -0.035, 129, 23, -4?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*z - 5558 + 5438 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110 (base 3) to base 8.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.015 - -1.465. Let d = -0.88 + q. Let i = 0.5705 - d. Round i to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -460*v + 588*v**2 - 3442*v + 743*v**2 - 1005*v**2 + 738*v**2 wrt v.\nAnswer: 2128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 326664 and 432?\nAnswer: 1959984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 336271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)\/((k*(k**(1\/3)\/k)\/k)\/k))\/(k\/k**(-1\/4))**(2\/25)*(k**1)**(-20)*k**4*k*k*k\/(k*(k**(-1\/3)\/k*k)\/k) assuming k is positive.\nAnswer: k**(-323\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153*n**3*o**4 + 88*n**3 + 4*o**2 wrt o.\nAnswer: -3672*n**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 10*t - 17. Let g be -12*((-4984)\/21)\/4. Let v = -720 + g. What is a(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1803*f - 8759. Determine l(5).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) -362 (c) 2\/11 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l. Let z(s) = -316*s - 24. What is z(n(v))?\nAnswer: -2528*v - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**4\/5 - 28*w**3\/5 - 271*w**2\/5 - 602*w\/5 - 72 = 0.\nAnswer: -5, -2, -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.3. Which is the nearest to -1? (a) u (b) -1\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 187626993?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 6, a: 4}. Give prob of picking 1 t and 2 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -18. Calculate the remainder when (2 - (-54)\/(-33))*(-61655)\/(-190) is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -414, -374, -332, -288, -242?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98829?\nAnswer: 3, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-70) + 257\/7 + -3. Suppose -z*i + 144 = -400. Solve -5*k + p - 2*p - 8 = 0, -4*k - i = -4*p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13b06a6 + -3?\nAnswer: -13b06a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j**2 - 2*j - 4. Let c be f(2). Calculate the highest common divisor of c and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418177375 to the power of 1\/2, to the nearest integer?\nAnswer: 20449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 11*v + 1. Let u be (-8)\/2 + -10 + 10 + 3. Give q(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgfgtgftgggftf. What is prob of sequence gg?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/3)\/(q\/q**1))\/(q**1\/q)**14 assuming q is positive.\nAnswer: q**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(21\/18 - 1). Suppose 5*d - h = 3*h + 47, 3*d + 3*h - i = 0. Suppose b + 5*y = 44, -32 = -3*b - 2*y + d*y. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -11. Suppose -6*z = -o*z - 54. What is the remainder when z is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3127 + -3079. Solve -21 = -9*k - u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyzw when four letters picked without replacement from hggyygwwhzyggy?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 71.07. Put -4, -3, -2\/13, g in increasing order.\nAnswer: -4, -3, -2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 4*q - 2*q)*(-3*q + 2*q - q + 1 - 1 + 2*q + (-2 + 5 - 4)*(q - 3*q + q) + 0*q + 9*q + 23*q).\nAnswer: -66*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 38*a + 4*a - 49*a.\nAnswer: -83*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 - 3*t**3 + 2*t**3)*((3 - 3 + 5*t)*(3 - 3 - 1) - 3 + t + 3)*(61 + 29 - 12).\nAnswer: 624*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -517*(-4)\/176 - ((-15)\/12 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j. Let m(q) = 7*q**2 + 5. Let g = 15 - 10. Let t(r) = 14*r**2 + r**2 + 7*r**2 + 16. Let c(k) = g*t(k) - 16*m(k). Give f(c(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 552555463 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7356906994?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75711960 and 184680?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -190*d**4 + 39*d - 183*d**4 + 368*d**4 wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -14. What is the least common multiple of 3\/5 + 304\/(-40) + 39 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**3 + 33*v**2\/2 - 1730*v + 388. Find the first derivative of h(p) wrt p.\nAnswer: -6*p + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + 0*g - 5*g)*((10 - 5 + 9)*(-5*g + g + 3*g) + 3*g + 4*g + 4*g) in the form x*g + s*g**2 + b and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 c, and 1 y when four letters picked without replacement from jjcyyycjyccjcjc.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*j + 3*d, -11*j - d = -9*j + 3. Factor 0*t**2 + 0 + t**3 + 7*t**4 + 49\/4*t**5 + j*t.\nAnswer: t**3*(7*t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11*p**2 - 23*p - 63. Calculate the remainder when d(7) is divided by 136.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -759073.3 and -1.6.\nAnswer: -759074.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -21, 2 in descending order.\nAnswer: 4, 2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -2, 0, 1\/5 in increasing order.\nAnswer: -2, 0, 1\/6, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 = 13. Let v be 11 + j + 0\/(-5). Which is bigger: 6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-542)\/(-6) + 5)\/(2\/6). Suppose 668 - 272 = 9*u. Calculate the highest common divisor of u and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76) + -5 - sqrt(76)) + 3)**2*4.\nAnswer: -32*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + -13.08. Let a = -12 - f. Let k be (-2 - 16\/(-10))*1. What is the second smallest value in k, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/4 and 15\/256922188.\nAnswer: 256922188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yox when three letters picked without replacement from {h: 5, x: 6, p: 2, y: 2, q: 1, o: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12*z + 60. Let w be k(-4). Let s be 150\/(-360) - (-1)\/w. What is the nearest to 2\/7 in -2\/11, -2\/9, -2, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**3 + 2*i**3 - 3*i**3 + 1.\nAnswer: -14*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppa when three letters picked without replacement from {b: 5, a: 5, p: 8}.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrzzhwgzrhhzwhwrrh. What is prob of sequence wzz?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l + 22. Give u(-18).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1236193 rounded to three decimal places?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 1664?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67950.77 litres to millilitres.\nAnswer: 67950770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g = -48. What is the units digit of (g\/(-18))\/(2\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.817 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-5)*(-244)\/(-18). Let g = x + 22067\/2715. Let w = -191\/1810 - g. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = x - 13, -4 - 5 = -x + o. Suppose -x*v + 28 + 17 = 0. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 4*c**2 - 2*c**2)*(2 + 2 - 3) + (-4 + 5 - 3)*(c - 2*c + 5*c)*(22*c + 238*c - 76*c).\nAnswer: -1473*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1203 (base 5) to base 6.\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**5\/60 + 13*n**4\/24 - 3*n**3 - 12*n**2. What is a(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 18*u. Let w(q) = 6*q. What is w(g(z))?\nAnswer: -6*z**2 - 108*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 259197294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 41*s**2 - 260*s + 83. What are the prime factors of y(19)?\nAnswer: 2, 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89491 is divided by 29774?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3\/2 + 805*x**2 + 1625*x\/2 - 1615.\nAnswer: -5*(x - 323)*(x - 1)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 1330364?\nAnswer: -1330401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 0)\/((-1088)\/(-952)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 13 = 52. Let z = -108.8 + 109. What is the nearest to -1 in 5, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -74, 15 in descending order.\nAnswer: 15, 10, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16153310.47 rounded to the nearest 10000?\nAnswer: 16150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 28 - 1) + 2 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -2*k + 100. Let l(f) = -k + 168 + f**2. Let r(d) = -d. What is r(l(v))?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 61 - 52 + 3624*u.\nAnswer: 3624*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(25\/80))\/((-13)\/(975\/(-30)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*l + 79, v - 4*v = 4*l - 49. Let h = v - 15. Solve -4*i - s - 7 = h, -3*i - 2*s - 7 = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*n - 0*n. Let h(t) = -t**2 + 10*t - 7. Let p be h(8). Let m be 8\/(-3)*p\/(-6). Calculate the greatest common divisor of m and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517151909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23071048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -6*i - 0. Let z(t) = -t**2 - 6*t + 5. Let k be z(i). Suppose 2*s = k + 3. Calculate the smallest common multiple of 11 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3 = 0, 4*o - 4*b = -3*b - 83. Let h = o + -30. Let w = h + 156. Calculate the greatest common factor of w and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199718768 rounded to the nearest 1000000?\nAnswer: 200000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 4*u**2 - 5*u - 1. Let d(a) = -5*a**3 - 19*a**2 - 26*a - 5. Let z(k) = -2*d(k) + 11*h(k). What is z(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 353*i**2 - 266*i. What are the prime factors of n(3)?\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5180515577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2619 and 582?\nAnswer: 5238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**2 - 18159*u + 253638 = 0.\nAnswer: 14, 6039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 48*b**2 - 2. Let n be l(-1). Let j(a) = -18*a + 35 + n*a + 0*a**2 - a**2. What is the units digit of j(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11ab1 (base 14) to base 2.\nAnswer: 1010100100001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(sqrt(44))**2.\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 62*l + 50. Let w be f(14). Calculate the highest common factor of w and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-50798)\/(-12) - 12 - 3\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 + 189 - (-3 - 0 - (-18 - 2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8 - 13 = 0. Find the third derivative of 0*h**4 + 11*h**2 + f*h**2 - 16*h**2 - 7*h**4 wrt h.\nAnswer: -168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.047745 - 49.0221.\nAnswer: -49.069845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - 2.92. Let a = -2.9 - v. Let o = 3 - 7. What is the nearest to a in o, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w**3 + 2*w)*(-3*w + 3*w - 3*w)*(-16*w - 11*w - 79 + 29*w).\nAnswer: 6*w**5 - 237*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*g - 3331 + 209 = 0 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1168 + 1078 = 18*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5. Let t(a) = a + 1. Let c(p) = -4*p - 5. What is i*c(o) - 6*t(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 314296928 - 1821350688478\/5795. Let t = o + -2\/1159. Is t < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186083783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.459 - -2.541. Sort y, -4, -0.1 in descending order.\nAnswer: y, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 276 and -28074197.\nAnswer: -28073921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -219018 divided by -3\nAnswer: 73006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/15 + 0)*325\/(-195) + -22.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -5, -317, -3\/2, 21.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4242 + 533?\nAnswer: 5215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*z + 15, -10*f + 5*f + z = -5. Let g(v) be the first derivative of 2\/3*v**3 - 2\/5*v**5 - 34 - 1\/6*v**6 - 3\/2*v**2 + v**4 + f*v. Factor g(k).\nAnswer: -k*(k - 1)**2*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**6\/60 + 13*o**3\/6 - 32*o**2. Find the first derivative of w(r) wrt r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 2111011102200001?\nAnswer: 2111011102200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 721161102115 and -16?\nAnswer: 721161102131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**4 + 2*n**2 + 4 + 6*n + 4 + 2*n**4 - 7*n to y + z*n + w*n**4 + c*n**2 + x*n**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 48*o + 53*o + 27 = 0, -6*i + 7*o + 16 + 29 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 659*h - 663*h + 32, 3*i - 2*h = -7*i - 28 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**4 + 18*l**3 - l + 2901*l**2 + 2*l**4 - 7*l**3 - 2904*l**2 + 0*l in the form d*l**3 + t*l**2 + z*l**4 + h*l + s and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/135 + 37912\/(-2520)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 129057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 6:52 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240, -476, -878, -1452, -2204?\nAnswer: -3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 20. Let f = -5.9 + a. What is the second biggest value in f, -1, 4\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**4*n**3 - 2019*h**2*n**3 - 4*n**3 - 191 wrt h?\nAnswer: 8*h**3*n**3 - 4038*h*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12282 and 4628.\nAnswer: 319332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1260, 2520, 3780, 5040?\nAnswer: 6300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 3*p**2 + 18*p + 77. Let b be i(-5). Solve 3*f - 5*d - b = 0, 6*f = 3*f + 3*d + 27 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -50, -73, -88, -89, -70, -25, 52?\n\"Answer: d**3 - 2*d**2 - 24*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1880205*o**4 + 20087180.\nAnswer: -7520820*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 74*w**2 + 4*w + 14. Let c be l(15). Suppose 0 = 4*t - 0*t - c. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/2485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2600) - (sqrt(2600) + sqrt(2600)*-2)) + sqrt(26))\/(sqrt(32)*-4).\nAnswer: -21*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(68)*-1 + sqrt(68)))\/(5*-3*sqrt(4) + sqrt(4) + sqrt(4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14157 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 446490 and 44649?\nAnswer: 446490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.848138 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 134 = 5*y, 2*y + 4*i = i + 64. Suppose 4*z - y = -10. What is the derivative of 2*w**z + 2*w**4 - 18*w**2 + 4 + 18*w**2 wrt w?\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10 - 23*c + 15*c + 13*c**2 - c - 5 + 2. List the prime factors of f(7).\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 + -115 + 89462\/738 + (-14)\/(-72).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (9 - 0) - (208 - (-181 - -368)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 9*l = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - 67213a?\nAnswer: -672129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 9. Let q(p) = -125*p - 2331. Let o(t) = 6*k(t) - q(t). Differentiate o(z) wrt z.\nAnswer: 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 1931 = 5*u, -5*z + 31546 = 31106 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2904 = 4*a + y - 4170, 2*a + y - 3536 = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 b, and 2 t when four letters picked without replacement from bobtbtobbbtbbbbk?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/119 and -45\/71.\nAnswer: 8449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 2, e: 1, t: 1}. Give prob of picking 1 s and 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - -2 - (-219 - -265)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 - 9)*(-694*t - 32340 + 32340) - 4*t + 3*t - 2*t + 0*t + 0*t + t + t - 3*t + t + (-3 + 2 + 2)*(-4*t + t + t) + t - 1 + 1.\nAnswer: -698*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 13*a = 10*a + 5, a = q - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 9761.\nAnswer: 3904.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1966492*a**5 + 4*a + 908*a**2 + a**4 - 1964516*a**5 - 5*a wrt a.\nAnswer: 118560*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 - 123 = -46*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-5)*60\/(-18). Let y be (-1)\/(-2) - 126\/r. Let l = -7 + y. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 11. Let v = n - -24. Suppose 0 = v*k - 10*k - 100. Solve -3*f + 2*z + 15 = 0, 0*z - k = -4*f - 2*z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 10. Suppose 4*a - x - 42 = 0, -q*a + a = 3*x - 14. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 12:38 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 1\/6*u**3 + 0 - 1\/20*u**5 + 0*u**4 + u + 0*u**2. Let y(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8810, 8, -9, -2 in descending order.\nAnswer: 8810, 8, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**5\/30 + z**4\/4 - z**2. Let q(b) = -b**3 - 6*b**2 - 5*b - 2. Let m be q(-5). Let i be 0 + m + 2 - -4. What is w(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20298*d**3 + 6319*d + 1.\nAnswer: 121788*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -14*i**2 - 174*i + 18. Give a(-15).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) -3 (c) 2 (d) -4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -109. Let h = d - 31. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 4:26 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00504112797 rounded to five decimal places?\nAnswer: -0.00504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5729, -5728, -5727, -5726, -5725?\n\"Answer: a - 5730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -9*o + 53. Let r = -127 - -133. Let n be g(r). Is n greater than 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44398 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*y - 87 + 77 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -164*v. Let m(i) = -29*i**2. Calculate g(m(s)).\nAnswer: 4756*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*d - 42*d - 91*d + 34*d.\nAnswer: -177*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/3*(-3)\/(-2). Suppose -12 = x - i*x. What is the third derivative of -q**2 - 3*q**2 + 4*q**2 + 3*q**2 + x*q**5 wrt q?\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 210?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 + 2. Let n = 0 + c. Let l = 3.5 - 4. What is the second biggest value in l, -1\/3, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**19*((d*d*d*d**(-4\/11)*d)\/d*d)\/d)\/((d*d\/d**(-7))\/(d**(-13)\/d)) assuming d is positive.\nAnswer: d**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 14*c**2 - 2*c. Let o(z) = z**3 + 28*z**2 + 5*z. Determine -5*l(p) - 2*o(p).\nAnswer: 3*p**3 + 14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 6088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115648 and 2158?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09 - -4.09. Sort a, -2, -0.1 in decreasing order.\nAnswer: a, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzbssbzzibfsr. Give prob of sequence irz.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*10\/3 - 2*-2. Find n such that 0*n + i*n**2 + 0 + 2\/3*n**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:17 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-0.0812.\nAnswer: 0.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157970 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/44 and 13\/7132.\nAnswer: 78452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -157414*c**2 - 53640 wrt c.\nAnswer: -314828*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 3746?\nAnswer: 179808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 5*r**2 + 4*r - 6. Let h be x(-6). Suppose -359*u + 40503 = 196*u - 29427. Calculate the highest common factor of u and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, t: 1, n: 6, s: 3}. Give prob of picking 2 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 2\/7 (c) 106 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 - b - 3 as g*b + i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + -2*sqrt(2448))**2*-2.\nAnswer: -19617 - 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.77, -8\/11, 0, -3?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -4*k - 77, 5*k - 268*j + 269*j = -103 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7455636\/5110 - 1\/35.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.8 + 9.6. Let l = -1.2 - i. Let c = 8.000001 - l. What is c rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6211194 is divided by 2050.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 2\/3*o**3 + 0*o - 30 + 0*o**2. Let q(g) = -6*g**2. Calculate q(p(u)).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7}. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70209089?\nAnswer: 523, 134243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/19 + 3258*d**4\/19 - 105114*d**3\/19 - 357098*d**2\/19 + 4443516*d\/19 + 246960 = 0?\nAnswer: -7, -1, 6, 35, 1596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1.9. Let n = -5.5 - 25.4. Let w = 30 + n. What is the biggest value in -4, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34985598, 69971196, 104956794, 139942392, 174927990, 209913588?\n\"Answer: 34985598*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -57818 + 2b8?\nAnswer: -57540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23212, -45156, -64570, -80188, -90744, -94972?\n\"Answer: 211*s**3 - s**2 - 23418*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 9, h: 2}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*sqrt(8)*-3 + sqrt(8))\/((sqrt(12) - -3*sqrt(12))\/sqrt(3)).\nAnswer: 33*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10542 and 21084.\nAnswer: 21084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10159 divided by -3?\nAnswer: 10159\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 2. Let t be 2 + 17 + -2 - 2. Suppose t = -d + n*d. Solve -3 = d*k - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1766, -1809, -1850, -1883, -1902, -1901, -1874, -1815?\nAnswer: -1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.359518 to two decimal places.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 7) to base 15.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*f + 45, 0*f = -5*f. Let h be r\/(-12)*2\/6. What is the biggest value in -0.2, 0.03, h?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 374844 and 343607?\nAnswer: 4123284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 24 (c) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1482855 and 943635.\nAnswer: 10379985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (14 - 10))*(-1)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -33*g**2. Suppose -4*x - 2*k = -106, 5*x + 4*k = 5*k + 143. Let i(r) = -x*r + 51*r - 21*r. Calculate i(l(z)).\nAnswer: -66*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -3 - (-7)\/2)*-6. Which is the biggest value? (a) 0.5 (b) 3 (c) z (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*n = 43, 2*z - 4 = -3*n - 1. Suppose -z*w + 5*w = 0. Suppose w*l + l = 56. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 186432389?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -6*x**2 + 12. Let c(i) = 2*i. What is c(t(z))?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*w + 65 = 6*w, 3*w = 3*z - 93. Calculate the remainder when 77 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2932, -2733, -2532, -2329, -2124, -1917?\n\"Answer: d**2 + 196*d - 3129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14))\/(486\/189*-1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(36\/(-10) - -3). Suppose 4*d + 17 = o, j*o - 3*o + 31 = -5*d. Suppose -4*g = -14 + 2, 2*f + 3*g = 11. Sort o, -2, f in descending order.\nAnswer: f, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1073 = -3*o - 0*o, 0 = -q + 4*o + 1076. Let p = q + -406. Is p a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33712 equal to 33711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, s: 1, x: 3, o: 5}. What is prob of picking 1 s, 1 f, and 1 o?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -390540.03 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732937094?\nAnswer: 2, 2141, 171167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 269467, 538896, 808325, 1077754, 1347183, 1616612?\n\"Answer: 269429*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-2))\/(3\/6). Let c(q) = q**2 - 6*q - 3. Let g be c(7). Suppose 5*t - 4 = -3*j, -5*t - 10 = j + 4*j. Put g, j, r in descending order.\nAnswer: g, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(7 + 5*k - 1 - 2).\nAnswer: 5*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*m = -4, 4*w - 9*m + 14 = -11*m. Let y = 111 + w. Solve 2*p - y + 110 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 45*d**2 - 97138*d + 4000. Calculate j(-335).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5056 divided by 79?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6634, -9989, -13370, -16783, -20234, -23729, -27274?\n\"Answer: -o**3 - 7*o**2 - 3327*o - 3299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/538385 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**3 - 2*w**2 + w + 2. Let s(k) = -k**3 + k**2 - k. Give -s(y) - z(y).\nAnswer: 6*y**3 + y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3\/4 + 1547768*q**2 - 9582312171861*q\/4 - 47911870413405\/2 = 0.\nAnswer: -10, 3095541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 14657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57536465 by -4123.\nAnswer: 13955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-570)\/(-70)*-5 - (-4)\/(-14). Is 1 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 1.440983.\nAnswer: 2.440983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(108)*-4)\/(sqrt(16)*6) - (1*sqrt(216))\/(sqrt(648)*2)).\nAnswer: -7*sqrt(3)\/6 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/2)\/q**(-2\/39)*(q*q\/q**(6\/11))\/q**(-1\/14) assuming q is positive.\nAnswer: q**(3235\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103423141?\nAnswer: 71, 15541171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9021511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 4*r**2 + 2*r - 5. Let n be g(4). Suppose 3*k + n*o = k + 66, 2*o - 154 = -5*k. What is the greatest common divisor of 75 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 61.78 and 0.27?\nAnswer: 16.6806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8685986mg in tonnes?\nAnswer: 0.0000000008685986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7986.07 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a208099 - -5?\nAnswer: -a208094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 40 = -6*i. Let k(x) = -x**2 - 25*x - 43. Let v be k(-2). Which is the third biggest value? (a) v (b) -1\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72871, -1, 2, 4, -3 in descending order.\nAnswer: 72871, 4, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71\/10 + -147\/20. Let t = -0.1 + 0.1. Which is the third biggest value? (a) q (b) 10 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012417 plus 0?\nAnswer: 0.012417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 16 + 2*g**2 + 17.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/13 or 0.186?\nAnswer: 0.186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-3)*(58\/1305)\/(2\/5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u**2 + 6*u - 5. Let b(x) = x**2 + x - 1. Let r(f) = f + 4. Let k be r(-3). Let h(n) = k*y(n) - 4*b(n). What is the tens digit of h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 5*v - 16 + 19, 3*l - 3*v = -27 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**3 + 9*y**2 - 4*y + 4. Let m(o) = -8*o**3 - 10*o**2 + 4*o - 5. Let j(k) = 4*m(k) + 5*v(k). What is the units digit of j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = 4*x, x = -2*x + 5*t - 23. Is 118 - ((x - -3) + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*x + 0 = 2, -z - x = -6. Solve z*t - 9 = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26056934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 52*b - 40. What is the hundreds digit of d(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3086, 6190, 9294, 12398, 15502?\n\"Answer: 3104*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 42 + 2*l - 71 + 38. Let h be k(5). Let x(y) = -4*y - 5. Let q be x(-6). Is q greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29091 is divided by 189?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 157800534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {x: 4, l: 3, b: 2, d: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -675 divided by 46988\nAnswer: -675\/46988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183?\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 11910800.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-3))\/((-2)\/9). Let d = -0.2 - 0. What is the smallest value in q, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -1 - (-41 - -23).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5)\/j)\/(j*j**(-6))*j**(-2\/9)\/(j\/(j\/((j*j\/(j\/(j\/(j*j**(-5\/4)\/j)*j*j)*j))\/j))))**(-41) assuming j is positive.\nAnswer: j**(6601\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - -40?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12233 and 6372452?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2704 divided by -338\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -210511 - 25163?\nAnswer: -235674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 0*b + b)*(13387 - 21654 + 10663)*(-5 + 5 - b + (0*b + 3*b - b)*(-2 + 0 + 0) + (-2*b + 0 + 0)*(0 - 4 + 2)).\nAnswer: 4792*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/56 - 8\/(-192)*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505 = 25*h - 20. Let j(w) = -4*w + 1. Let p be j(-4). Let f = h - p. Is 4 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 + 1. Let c = -5 + 9. What is the remainder when y(c) is divided by ((-5)\/(-2))\/(-1)*(-56336)\/10060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 15 = 24. Which is the closest to -1? (a) f (b) 0.05 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -872716912*u**4 + 169144859*u**2 + 1 wrt u?\nAnswer: -20945205888*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/2, -414, -0.43.\nAnswer: -414, -0.43, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 801662 and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4519*z + 19600 = -4169*z for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b. Suppose p - 4*p + 63 = 2*k, 4*k = -3*p + 117. Suppose l - 276 = 2*a - k, 1011 = 4*l - 3*a. Let r(j) = -l*j - 3*j**2 + 255*j. Calculate v(r(q)).\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 36, 144, 336, 636, 1068, 1656, 2424?\nAnswer: 3396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) 4 (b) -0.063164 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o + 24. Let u be h(-7). Is 73 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 + 2301718166\nAnswer: 2301718163.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59*r**4 - 139*r**2 - 304941.\nAnswer: -236*r**3 - 278*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 116 (b) -0.1 (c) -41 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -4 (c) 0 (d) 3.7 (e) -16\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 6*d - 9. Let f be o(7). Let g = 8 + -14. What is the tens digit of g\/f - 208\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 32*q + 2. Let i = 21 - 7. Suppose 2*s - i = -4*n + 4*s, -4*s - 20 = 0. Is 20 a factor of j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43136 and 236.\nAnswer: 2545024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 6*b + 4. Let v(o) = -o**2 + 2*o + 4. Let g be v(0). Suppose -g*a - 21 - 3 = 0. Determine f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/20748 and -89\/2005068.\nAnswer: 266674044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 107031*y**2 + 107034*y.\nAnswer: -3*y*(y - 35678)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251 - 250.399. Let u = -7 + 6.4. Let x = u + q. What is x rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -10\/47, -42, -98\/11, -3, -13\/3?\nAnswer: -10\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 71. Suppose 0 = -f*x + m + 170, 171 = 5*x + 4*m - 267. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -7*u**5\/20 - 1323*u**2. Let i(w) = -11*w**2. Calculate 7*i(x) - 4*s(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-495)\/(-66)*(24\/5)\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404531, 809074, 1213625, 1618178, 2022727, 2427266, 2831789?\nAnswer: 3236290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/6, -0.4, 4, 0.33?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3678 - (1 - 24\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/336 and -97\/5663826?\nAnswer: 45310608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:44 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*t**3 + 0*t + 299*t**3 + 0*t.\nAnswer: 697*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5 + (-5 + 0 + 2)*(-2 + 0 + 1))*(665*i - 1331*i + 665*i + 123).\nAnswer: -2*i + 246","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3444\/(-287) - (-8 - 1*-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 258225.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -398*k**2 + k + 1046541 - 1046541 in the form h*k**2 + m + r*k and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 1. Let i(o) = o - 13. Let x be i(9). Which is the biggest value? (a) 3 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 19, -102, 15, -4 in ascending order.\nAnswer: -102, -4, 4, 15, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920663.\nAnswer: 29, 53, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 6*i**2 + 7*i - 4. Calculate f(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155 - 162. Which is the closest to j? (a) -0.4 (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**3 + 15*w**2 - 15*w + 15. Let c(k) = -k**3 + 4*k**2 - 4*k + 4. Let f(q) = -q**2 + 3*q + 3. Let s be f(-3). What is s*c(o) + 4*x(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a. Let w(f) = -2*f - 2. Let n(z) = -4*z - 5. Let q(x) = 2*n(x) - 5*w(x). What is q(m(u))?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 10)*(-2 + 2 + q)*(2 - 2*q**3 - 2 + (3 + 3 - 5)*(-q**3 - q**3 + 0*q**3) - 2*q**3 + 2*q**3 - 3*q**3).\nAnswer: 49*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 5*z + 1722. Suppose 119 - z = -k. Suppose 4*d + 4*i - 224 = 0, -d - 4*d - k*i = -282. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1226695 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 24.4. Which is the closest to -1\/3? (a) 4 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -16*q**2 + 20*q + 4. Let l(c) = 29*c**2 - 41*c - 7. Determine -4*l(i) - 7*s(i).\nAnswer: -4*i**2 + 24*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0722 in 0, -641\/3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by (-2 - (18\/(-4) + 3)) + (-672)\/(-192)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(48\/(-80) + 14484\/15). Suppose v = 2*w + 899. Is w not equal to 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200 + 163. Let n be (-39 - o) + 4 + 0. Solve 3*x + 0*b + 4*b = 16, n*x + 5*b - 20 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 16*w = -10999869 + 10999177, 2*d - 207 = -5*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 10*v**2 + 2*v - 2. Let f be p(10). Let a = 28 - f. Let r = a + 1. Solve r = -2*s + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 less than 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnk when three letters picked without replacement from {n: 3, k: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 5*q - 45, 0*j - 22 = -2*q - 3*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**3\/3 - 7*l**2\/2 + 3*l + 8. Let q be m(-7). Let b(x) = x + 1. What is b(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 16. Suppose 4*b = m - 119 + 463, -x*m = 5*b - 430. Let z = 165 - b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 7:35 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*u + 552 = 0, 2*i - 6*i + 740 = -4*u. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + s**2 + s + 13. Let k be u(0). Let r(t) = -t**2 + 15*t + 5. Let a be r(k). Let o = a - 19. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 53. Solve -a = -2*n - 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-2 - 0)) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 38 - 35 = 3*b, -5*i - 4*b + 26 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.4 - 0.6. Let n be (76\/1330*-35)\/(-1 - -2). Which is the fourth smallest value? (a) v (b) 1\/5 (c) n (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.21 + -0.21. What is the smallest value in -2\/7, u, 3\/5, 1\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -13*v**2 - 220*v - 197. Give n(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 199*q**4 - 7*q**3 + 7*q - 194. Let o(r) = -98*r**4 + 3*r**3 - 3*r + 97. Let l(t) = 7*o(t) + 3*p(t). What is the first derivative of l(u) wrt u?\nAnswer: -356*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 - 2*s**4 + 12*s**4 + 9*s**2 + 6*s. Let x(a) = -a**4 - a**2. Let p(z) = -d(z) - 6*x(z). Find the second derivative of p(k) wrt k.\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 - 7*m**2 + 2*m**2 + 19*m**2.\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 11. Suppose 0 = -m*a + 9*a - 125. Does 25 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(8\/16)\/((-6)\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11*(6 + -5))\/(-1 - 0). Suppose 336 = 3*p + 2*n, -4*p + 4*n + n + 425 = 0. What is the highest common divisor of p and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, q: 1, l: 2, d: 1, m: 8}. What is prob of picking 3 u?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -188*k**2 + 497*k - 350. What is q(1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69033143 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*v**3 - 33*v**2 - 121 with respect to v.\nAnswer: -9*v**2 - 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((-3)\/(-1))*0. What is the units digit of (10 - 4)*(1 + n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -17*m**3 + 2*m**2 + 6*m - 1. Let k be f(-2). Let j = k - 130. Let a(u) = 3*u**3 + u**2 - 2*u + 1. Give a(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/3)\/(4 + 1742\/(-435))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/192 and -31\/6741560.\nAnswer: 161797440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 126 = 2*z + 3*z, -515 = -5*s + 2*z. Let o = -97 + s. Solve 0 = o*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*s = 312 + 297 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**3\/6 - 2*w**2 + 671*w - 2. Suppose 37 = 4*f - 4*r + 1, 4*f = -r + 21. Determine i(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + t**2 - 2*t + 3. Let b(n) = -7*n**3 - 2*n**2 + 5*n - 8. Let v(z) = 3*b(z) + 8*x(z). Let h = 12 - 11. Suppose 0 = 2*f - 1 - h. Give v(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 8:45 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -3*sqrt(98) + 1 - sqrt(98))**2.\nAnswer: -42*sqrt(2) + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*o. Suppose -j = -0*j - o. What is the first derivative of 0 + 3*x**2 - j*x**2 - 2 wrt x?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16529137 divided by -2?\nAnswer: 16529137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23203212120 - -21?\nAnswer: -23203212033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 796 - -5?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 543143 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -4. Let i = z - -6. Let l be (-2 - -3)*3\/9. Which is the third smallest value? (a) i (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*w - 1504 + 1574 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*l**3*p**2 + 721*l*p**2 - 92*p**2 + 5 wrt l?\nAnswer: 21*l**2*p**2 + 721*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 - 767*d**2 + 2636*d - 919. What is c(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10820680*f - 25177374*f - 5861722*f.\nAnswer: -41859776*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 2436*f**2 + 7232*f + 24240.\nAnswer: 4*(f - 606)*(f - 5)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.4, 1382053.\nAnswer: 0.4, 0.5, 1382053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2702, 2701, 2700, 2699, 2698?\nAnswer: 2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3549300 is divided by 61.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 4. Let t(p) = p - 7. Let o be t(10). Suppose -x = -o*j + 7, 2*x + 0 = j - 4. Let q = j - 6. What is z(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 364902 and 33?\nAnswer: 4013922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z - 13*z - 7 + 15*z + z. Let x(g) = -6*g - 6. Let b(m) = -2*h(m) + 3*x(m). Determine b(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -367 - 366 + 13*a + 733. Let f(w) = 39*w. Determine u(f(s)).\nAnswer: 507*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = p + 6, -t - 9 = 391*p - 389*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/5)\/(d*d*d*d*(d\/(d**(-3\/8)*d*d))\/d*d*d)*(d*d\/(d**(2\/11)*d)*d)**(-1\/72) assuming d is positive.\nAnswer: d**(-19009\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 7150704*y.\nAnswer: 2*y*(y - 3575352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7 + 7 + 2*y**2. Let v(q) = -21*q - 11. Let h(f) = 4*f + 2. Let x(a) = 22*h(a) + 4*v(a). What is z(x(p))?\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 936\/605 or 3?\nAnswer: 936\/605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3648*k - 102. Let o(w) = -228*w - 6. What is -2*b(q) + 33*o(q)?\nAnswer: -228*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24.076251 and -0.8.\nAnswer: 23.276251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-51)\/(-2)*14312\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19872201 is divided by 3341.\nAnswer: 3274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 2 + 2*o + 1\/3*o**3 + 0*o**2. What is the first derivative of i(j) wrt j?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13745318 divided by -1?\nAnswer: -13745318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3 - (-8)\/3. Let r = 2 - 2. Suppose r = -2*y - d + 4*d + 43, 74 = 4*y - a*d. What is the greatest common factor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 10*t - 7. Suppose -q = 3*y - 3, -2*y = -5*q - 0*q - 36. What are the prime factors of o(q)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h + 4. Let r(c) = -6*c**2 + 2*c**h + 3*c**2. Let m(g) = -g**2 - 3*g. Let s(y) = -y. Let t(a) = -2*m(a) + 6*s(a). What is t(r(b))?\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, 142, -253, -1064, -2441, -4534?\nAnswer: -7493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 1, 0, -12, 3 in ascending order.\nAnswer: -15, -12, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/7)\/(3\/(-2085)). Let f = -99 - w. Let r = 0.08 - 0.38. What is the second smallest value in f, r, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5115*q - 123476. Determine m(-24).\nAnswer: -716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1575, -3157, -4741, -6327, -7915, -9505, -11097?\nAnswer: -12691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2. Let j(x) = x - 1201. Calculate f(j(y)).\nAnswer: -5*y**2 + 12010*y - 7212005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4 - 102*t**3 - 88466*t**2 + 148826638*t.\nAnswer: 12*t**2 - 612*t - 176932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - (1 + -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1835*z + 77101. What is q(42)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282 and 195714627.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 8. What is o(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1325734 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 391307815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -23*q + 713. Let d be k(31). Put 5, d, -3, 3, 88 in descending order.\nAnswer: 88, 5, 3, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.189 - -3.189. Let d = 29 - 143\/5. What is the nearest to s in 0.77, -2, 0.3, d?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447*i + 30 = 457*i. Solve 2*z + 2 = -i*m - 11, -4*z - 2 = -2*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**2 + 3*h + 3. Let o(u) = 5*u**2 - 2*u - 2. Let t(z) = -2*n(z) - 3*o(z). Let l(s) = -3*s. What is l(t(x))?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255708 is divided by 327?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - 1 + 1)*(2 + x - 2) + 50*x - 29*x - 22*x + 28*x**2 + (3 - 4 + 0)*(-x**2 + 5*x**2 + x**2) as q*x**2 + c + b*x and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 3*q + 1 + 7 - 5 to h + v*q and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -30\/3811?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3 - 4 - 2*b + b. Let n be l(-1). Let f be (n - -1)*-1*-3. Let c(w) = -4*w**2 - 1. Let t(r) = -5*r**2 - 2. Determine f*c(u) - 2*t(u).\nAnswer: -2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + s - 2 = -3*l, 2*l = 2*s + 4. What is the second derivative of 28*k - 11*k**s - 8*k + 22*k**2 wrt k?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 17 = 5*d - 1, k + 3*d - 10 = 0. Find the third derivative of -556*f**3 + k + 522*f**3 - 6*f**2 + 2*f**2 wrt f.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 13*w**2 + 12*w + 4. Let g be t(12). Suppose -7*y + 15 = -g*y. Let b(x) = -2*x - 14. Let m be b(-9). Solve y*k - 6 = h, -4 = m*h - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680681 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*45\/(-9)*-1.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2 + 48*a + 230. Calculate q(-5).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 + 468*p**3 - 21146*p**2 + 40404*p.\nAnswer: 2*p*(p - 37)*(p - 2)*(p + 273)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 1. Let x be f(-5). Calculate the common denominator of 91\/12 and 284\/18*x\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99.4 + -100. Put w, 0.1, 1 in descending order.\nAnswer: 1, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 813 + -466. What is the remainder when h is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -503 times -41.634?\nAnswer: 20941.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (60162\/814 + -74)\/(1*(-12)\/4)\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 - 170 = -2*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031 + -8.16352686?\nAnswer: -8.13252686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59674061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18792099.9 microseconds to weeks.\nAnswer: 0.00003107159375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n + 115 = 0. What is the common denominator of n and 37\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/11 and -32\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -2, 1, 5 in ascending order.\nAnswer: -42, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -6089654\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2883, -3, 143, 1.\nAnswer: -3, 1, 143, 2883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1))**(4\/25)*(d*d*d\/(d*d**(1\/12)*d)*d)\/d**(4\/7))**3 assuming d is positive.\nAnswer: d**(3497\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9441571 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/(p**(-2\/19)*p)*(p**(3\/7))**(-1\/65))**22 assuming p is positive.\nAnswer: p**(-171424\/8645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 219, 439, 659?\n\"Answer: 220*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 50 = 6*n. Let i = n + -6. Let j(r) = r**2 + r - 5. Calculate the least common multiple of j(-4) and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111112 (base 8) in base 5?\nAnswer: 2144300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 9873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*o = -311, o = -4*o - 20. Let z = m - -517. Let t = z + -158. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002496 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 426613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w. Let t(l) = 15397*l**2. What is n(t(y))?\nAnswer: -30794*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 540 + 79)*(-3*t - t - t + 4*t).\nAnswer: -553*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from jweqqhjjeexj?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + -2 - (2 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50247 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22713 - 12282. List the prime factors of l.\nAnswer: 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 - 3. Let v be 3\/15 + 1\/(-1) + 1. Which is the smallest value? (a) v (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 7:49 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -30. Let j be (u - -3 - -3)\/((-5)\/(-45)). Let h be (-2)\/(-2) - (-10 + j). Solve -6 = 2*b, -2*p + 3*b + h*b = -13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -17. Let b be (-1)\/c + (-12)\/(-42). What is the second smallest value in 0.3, b, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**2*l*l**(-14)*l**(2\/11)\/(l*l**(-3\/5)) assuming l is positive.\nAnswer: l**(-562\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10254533 (base 6) in base 11?\nAnswer: 197745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9474, 38 in decreasing order.\nAnswer: 9474, 38, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 20. Let d(x) = -7*x**3 - 2*x**2 + 2*x - 1. Let t be d(1). Let u be (-2)\/40 + (-2)\/t. Which is the third biggest value? (a) -1 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*d**2)*(1031 - 2076 - 5*d**3 + 1022)*(-2379 + 1217 + 1341).\nAnswer: -1790*d**5 - 8234*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18455773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(700))*2.\nAnswer: -10 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22339.\nAnswer: 89, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**0*d)\/d)\/d*d*d\/(d\/(d*d**8*d)))\/(d**8\/(d*d*((d*d\/((d\/d**(-7))\/d))\/d*d)\/d*d)) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 - (-1)\/4*-4 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -147708811, -295417622, -443126433, -590835244, -738544055, -886252866?\n\"Answer: -147708811*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -292.00000166 + 292. Round a to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/79, 0.2, -0.4 in increasing order.\nAnswer: -0.4, -2\/79, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvuvvuvvvvv. Give prob of sequence vu.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 - 32*v**2 + 46*v**2 - 3*v + 3*v + 2*v - 21*v**2 to i*v**2 + o + j*v**3 + u*v and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -506.282 * 43\nAnswer: -21770.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, -31\/26, 1, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 5*v**2 + 5*v - 3. Let g be c(-6). Let s be g*501 + -1 + -2. Round s to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -2*l**5\/5 - 13*l**4\/3 - 56*l**3\/3 - 40*l**2 - 2*l - 1. Let b(m) = 0. What is m?\nAnswer: -5\/2, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.49 + 0.49. What is the closest to u in 2\/15, 2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/4357257 and 107\/48.\nAnswer: 69716112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3755 (base 8) in base 13?\nAnswer: -c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91006744?\nAnswer: 2, 11375843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 3 + 0 + 3. Let w(b) = -3*b - 3. Let r be w(-2). Let f(n) = -5*n - 3 + r. Calculate f(s(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= -1663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 13.0429 and -10.\nAnswer: 3.0429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3392b053 - -5?\nAnswer: 3392b058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 926 divide 40823636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - -1 - (16 + 12 + -41).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k + 22 = 195 - 11 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*b = 17, -19 = 14*l - 12*l + 3*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from enznwz. What is prob of sequence zzew?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 17056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*k + 1221 - 1221 as h*k + j and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r. Let n(m) = -19*m + 7. Let u(p) be the first derivative of 19*p**2\/2 - 6*p + 7. Let a(i) = 6*n(i) + 7*u(i). Calculate a(l(h)).\nAnswer: 38*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3737*a**5*l**3 + 2*a**5*l + 3*a*l**3 + 30*a + 6*l**3 wrt a?\nAnswer: 74740*a**3*l**3 + 40*a**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 970459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 2286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 176788009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -43*v**2 + 83*v**2 - v + v**3 - 40*v**2 - 1. Suppose -t = -3 + 4. Let s(l) = -247*l**2 - l**3 + 2*l + 5 + 247*l**2. What is t*s(g) - 2*p(g)?\nAnswer: -g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 11*z + 2*p - 14 = 0, 3*p - 12 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70.54 + -71. Let k = 391.6 - 392. Which is the third biggest value? (a) 3 (b) q (c) -5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -303273\/8?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*d + 8 = 0, 2*d + 8 = -2*w - 0*d. Let h be ((-2)\/w)\/(51\/(-12) - -4). Let b(m) = -m**2 - 1. Let i(r) = -r**2 + r - 1. Give h*i(v) + b(v).\nAnswer: v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-914)\/20 - (-8 + 10). Let p = -1017\/20 - w. Calculate the common denominator of p and 97\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854874 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4812.334m to centimeters.\nAnswer: 481233.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10130*i**2 - 9935*i**2 + 20056*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v**2 + 1445*v + 12835. Determine d(169).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -119324?\nAnswer: -119334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5265 + -5272. What is the closest to -1 in 0.4, -1\/5, o, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 4*x + x)*(3 + 2 - 3) + (2*x - 5*x + x)*(3487 - 1061 - 8001) as y*x + o and give y.\nAnswer: 11148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 966342547, 1932685093, 2899027639, 3865370185, 4831712731, 5798055277?\n\"Answer: 966342546*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 7:45 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 4, 3\/427, 3, 450?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/9 + 12855358*o**2\/9 + 51421408*o\/9 + 51421400\/9 = 0 for o.\nAnswer: -6427675, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/40 and -15\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7629643770 rounded to the nearest one million?\nAnswer: -7630000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 68691 divided by -25\nAnswer: -68691\/25","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + -1 - (2682 - 2740).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + i + 14 = 5*i, 4*i = -5*c + 118. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 17. Let k be (-72)\/(-60)*(-140)\/6. Let w be k\/8*(2 + 0). List the prime factors of s(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*b - 7, 0 = 4*b - b + p - 13. Find the second derivative of b*k + 9*k**2 - 3*k**2 + 11*k**5 - 6*k**2 wrt k.\nAnswer: 220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (18 - 8 - 24).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0846574 - 0.08553. Round r to 5 dps.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110654983.\nAnswer: 857, 129119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roro when four letters picked without replacement from {o: 3, v: 1, r: 12}.\nAnswer: 33\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -301, -669, -1183, -1843, -2649, -3601?\nAnswer: -4699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 121*o**6\/2 + 3696*o**5\/5 - 3429*o**4\/4 - 27306*o**3 + 18954*o**2 + 328536*o - 8507. Let w(p) = 0. What is p?\nAnswer: -78\/11, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - -44310441?\nAnswer: 44311011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 52*s - 48.\nAnswer: -4*(s + 1)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**1)**1)**13)**(-2\/57))**(-35) assuming r is positive.\nAnswer: r**(910\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p**5\/8 + 299*p**4\/8 + 143*p**3\/8 - 2359*p**2\/8 - 565*p\/2 - 25\/2 = 0. What is p?\nAnswer: -2, -1, -2\/43, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - i)*(-29*i + 29*i + 7*i**2 + (-2 - 1 + 1)*(5*i**2 - i**2 - 3*i**2)) to t*i + a*i**2 + w + b*i**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 3610.731?\nAnswer: -57771.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -2*t**4\/3 + 22*t**3\/9 - 10*t**2\/3 + 2*t - 270. Solve m(x) = 0.\nAnswer: 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - 0 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.181 times -0.4?\nAnswer: -0.0724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 382, 4, -4\/5, -16 in decreasing order.\nAnswer: 382, 4, 0.03, -4\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3071*g - 128544 = 1411*g - 370572 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2268) + sqrt(2268))\/(sqrt(63)\/(1*sqrt(7))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 3*q + 0*q**2 + 0 - 1\/3*q**3 + 1\/21*q**7 + 0*q**5 + 1\/3*q**4 - 2\/15*q**6. Factor d(x).\nAnswer: 2*x*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5 - -1.55. Let x = -95 + 68. Let z = 51\/2 + x. What is the biggest value in 0.2, g, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/4 + 789*p**4 + 12653*p**3\/4 - 10269*p**2 - 3163*p + 9480 = 0. Calculate p.\nAnswer: -6, -1, 1, 2, 3160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.22 + 0.07. What is i rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2570 = 31*z - 41*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 7*g + 13*g + 22*g)*(-9 - 3 - 53).\nAnswer: -2990*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -6 + 13 + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7080067 is divided by 6390?\nAnswer: 6337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1048*a**3 + 483*a**3 - 2*a + 2 + 561*a**3 to v*a**2 + t*a**3 + q + s*a and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*(1 + 2 + sqrt(125) + 0).\nAnswer: 36 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1524264410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -1\/8, -24\/11, 2781\/2?\nAnswer: 2781\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -8*h - 280. Suppose -19*b - 280 = -12*b. Let x be l(b). Calculate the greatest common divisor of x and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + 20 + 4*v + 1 - 3*v. Does 31 divide t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 9*f + 32 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {s: 11, l: 2, n: 7}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2970000 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msdssssmmsgdssm. What is prob of sequence gmss?\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1310 and 255?\nAnswer: 66810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*sqrt(19)*-1.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l = 2397 - 1955 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76? (a) 5 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/406 and -9\/17346350?\nAnswer: 17346350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -116, -235, -352, -467, -580?\n\"Answer: r**2 - 122*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**3 - 5*s**2 - 3*s - 5. Let q(c) = 3*c**3 + 3*c**2 + 2*c + 3. Give -5*q(p) - 3*r(p).\nAnswer: 3*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1373040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 0 (b) -4\/5 (c) 0.08 (d) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -411669, -823746, -1235823, -1647900?\n\"Answer: -412077*w + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + s. Suppose s = 3*d - d - 32. Suppose 0*o - d = 4*o. Sort 0, 0.5, o in decreasing order.\nAnswer: 0.5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -4\/3*c**3 + 10 - 2*c + c**2 - 1\/4*c**4. Determine i(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 + 0)*(-4)\/3. Suppose b = -2*k + r, -2*b = -b - k + 3. Solve 5*d = b*t + 16, -4*t - 3*d = 4 + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3556669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9*(-328)\/(-24) - (-11 - -8)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2 - 596*a = 0.\nAnswer: -298, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3022 + 12?\nAnswer: 3034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 + 15*u**2 - 17*u**2 - u - 5*u**3 + 3*u**3 to the form v*u**3 + n*u**2 + y*u + c*u**4 + g and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*q + 18*q - 6*q**2 - 6*q**2 + 2*q**2 + 7*q**2 + (-q + q - 2*q)*(-q - 2 + 2).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, 1\/3.\nAnswer: -5, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 16) to base 11\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, -3, -5, -12, 18, 0 in increasing order.\nAnswer: -12, -8, -5, -3, 0, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*s - 15, -4*s - 1 = -3*l. Suppose 3*b + 108 = l*b. Let w = -1 + b. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (13 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1038984452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 6. Let n = f + 6. Suppose n*w = 2*i - 844, 5*w - 1666 = -4*i - 0*w. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16329193 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 3:50 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 224*x - 228*x - 28, -40 = -5*a + 5*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 = -3. Which is the nearest to p? (a) -0.25 (b) 1 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10734*d**3 + 24*d - 280.\nAnswer: -64404*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28892 = 160*s + 49*s - 11027. Suppose -122 = 4*u - 322. What is the remainder when s is divided by u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-28 + 7)) + -20.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - (-1725)\/(-25)) + 43?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5023 + 5064. What is the least common multiple of x and 115?\nAnswer: 4715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 19 + 1)*(6*r - 5*r - 2*r)*(-1 + 1 + 1).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 5*g**2 + 2*g - 10. Suppose -2*a + 14 = 4*w, -w = -0*w + 3*a + 4. Let h be z(w). Let d(t) = t**2 + t - 22. Determine d(h).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10603 = 425*w - 296*w + 1580*w + 28704 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2 + 23*a + 6. Let v(y) = -2*y**2 + 8*y + 2. Let j(s) = 3*o(s) - 8*v(s). Let c be j(-3). Put -0.5, c, 0.1 in decreasing order.\nAnswer: 0.1, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1360156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:31 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14384, -28025, -40924, -53081?\nAnswer: -64496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {m: 4, p: 1, s: 5, o: 1, u: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i + 10. Let q be d(2). Solve q = n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12426\/11 (b) 9 (c) 5\/4 (d) 1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43814804.\nAnswer: 2, 11, 995791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**3 - 10*m**2 - 33*m + 41. Let k(l) = l**3 - 3*l**2 - 11*l + 14. Let w(c) = -6*a(c) + 17*k(c). Let q be w(10). Let h = q + 7. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q. Let y(l) = 52619*l**2. Give i(y(h)).\nAnswer: 105238*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87\/1007 + -1\/53. Let y = 4.2 + -8.2. Which is the second smallest value? (a) -2 (b) y (c) f (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -211 + 432*w**4 + 3 + 14 wrt w.\nAnswer: 1728*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:35 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**7\/168 + h**5\/40 - h**3\/24 + 20*h - 1. Let m(t) be the first derivative of l(t). Factor m(k).\nAnswer: -k*(k - 1)**2*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111018.9 rounded to the nearest one thousand?\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/(-3))\/(-5))\/(80\/(-1560)*104\/2400).\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59424 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 2*i + 22, 3*i - 5 = -k + 6*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(891) + 0 + -2)*-5 - (5 + 2 + 2*sqrt(891)))**2.\nAnswer: -378*sqrt(11) + 43669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**2 - 27*n + 4. Let p be y(4). Let j = p + 3. Let s(f) = j*f + 6*f - 9 - 18*f. Determine s(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36952 by 298.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1526 + 1522 + 7*k**2 + 2*k**2.\nAnswer: 9*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 10*m**2 - 8*m - 19. Determine p(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11917?\nAnswer: 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14407 (base 9) to base 2\nAnswer: -10011001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*q**2 - 3 + 62 - 9 - 18 + 101 - 88*q**2.\nAnswer: 3*q**2 + 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 m, and 1 p when three letters picked without replacement from opsegmope.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i + 11264 - 38129. Suppose 17*l - 2*l = -i. What is the units digit of -1 - 3 - 0 - l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 31. Let k = j + 13. Calculate the remainder when k is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 62?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -197?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5594435.1ms in days?\nAnswer: 0.06475040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -928, -2830, -6422, -12268, -20932, -32978?\nAnswer: -48970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -73019078?\nAnswer: 73019081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 965909118 to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 18905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 1878668?\nAnswer: 35694692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76214262, 76214273, 76214284, 76214295, 76214306, 76214317?\nAnswer: 76214328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 27*i**2 + 28*i + 5. What is v(28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -271456708, -542913415, -814370122, -1085826829?\n\"Answer: -271456707*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 31. Suppose -h*s + 6*s - 12 = 0. Solve -6 = -s*k - 0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 26*i**5 - 317092*i**4 + 11026124*i**3 - 100431760*i**2 + 75664586*i + 14058116 = 0.\nAnswer: -2\/13, 1, 17, 12161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120121 (base 3) to base 12.\nAnswer: -2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -3 + -4)**2 - -4*-2*sqrt(1216).\nAnswer: -232*sqrt(19) + 2785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - 0 - (-4 + (0 - (10 - 31)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 9*f**2 - 7*f - 1. Let q = 5 - 2. What is the units digit of w(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 2 + sqrt(7) + 1 - sqrt(7)) + 2*sqrt(7) + -5 + 1)**2 + (-4*-4*1*sqrt(1008))**2.\nAnswer: -6*sqrt(7) + 258112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 31\/4. Let u = -0.4 - -3.4. Let b = 2 + -2.5. What is the smallest value in b, j, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10702263479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 765*l + 6129. Calculate f(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 5:46 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10465 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 0.05 (c) -0.2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2516*m**3 + 46*m**2 + 7*m wrt m?\nAnswer: -15096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 2*i + 10. Let f be x(7). What is the third derivative of 7*u**4 + 73 - f + 2*u**2 wrt u?\nAnswer: 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 4. What is b(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11833722137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 174 - 168 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 2*s**6\/3 + 4*s**5\/5 - 21*s**4 - 60*s**3 + 161. Factor c(h).\nAnswer: 4*h**2*(h - 5)*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - ((34 - 37) + (8 - (0 + (10 - 6))))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((-5 - (-25 + 14)) + (-4 - -20)) - 9?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -158565 - -228039. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 267 - 227. What is the smallest common multiple of h and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11*q + 69. Let l be f(6). Calculate the highest common divisor of 729 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23719620 to the nearest 100000.\nAnswer: 23700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11366756 * 2\nAnswer: 22733512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.92 - 3.08. Let r(o) = 2*o**2 - 3*o + 9. Let k be r(9). Let c be -1*3 - k\/(-45). What is the second smallest value in j, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5\/7 - 57*f**4\/7 + 249*f**3\/7 + 561*f**2\/7 - 2808*f\/7 - 4860\/7 = 0. Calculate f.\nAnswer: -2, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 30*n**2 - 18*n - 1. Let c(o) = -25*o**2 + 18*o + 1. Give -5*c(k) - 4*y(k).\nAnswer: 5*k**2 - 18*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24887cd (base 14) to base 9.\nAnswer: 36005003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 150*h*z**3 - 9*h*z**2 - 8897*h*z - 2*h - 94*z**3 + z**2 + 76661*z wrt h?\nAnswer: 150*z**3 - 9*z**2 - 8897*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*j - 3. Suppose 23 + 2 = -5*u, -j*h + 4*u = -89. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 954 and 81514?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95*n**4 - 13 + 6*n**5 + n**2 - 187*n**4 + 92*n**4 + n**3 wrt n.\nAnswer: 360*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - 3920\nAnswer: -3919.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -102431600 to the nearest 100000.\nAnswer: -102400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34112.861 + 33933.6. Round m to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let o = q + -1. Suppose v + z + 5 - 11 = o, -v + 8 = 3*z. Calculate the remainder when v is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 50283855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**2 + 1 + 5*k**2 + 5*k**2 + 0*k**2. Let x be g(-1). Calculate the highest common factor of 171 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/52*41824\/(-862620).\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from essaoywaysy. What is prob of picking 1 o and 1 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*u + 2 = -132*u - 10, -5*k + 5*u = 3*u - 10 + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*((sqrt(27)*-1*-1)\/sqrt(9) - (-1 + (sqrt(60)\/sqrt(4))\/sqrt(5)))*4)**2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 17733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1026*v**2 + 549.\nAnswer: 2052*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*g + 21, 111*g = 3*j + 106*g - 35 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -1, 11 in descending order.\nAnswer: 11, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieiieiiiieieeiieiii. Give prob of picking 3 i and 1 e.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (sqrt(1053) + -1 + -1)) + 4 + 2)**2 + ((1 + sqrt(13) + 1 + 0)**2 - (1*sqrt(104)*2)\/sqrt(8)).\nAnswer: 2*sqrt(13) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -139. Let g be 3\/12 - p\/16. Calculate the greatest common factor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/18 - (-7)\/((-504)\/(-176)). Let u(l) be the second derivative of b*l**3 - 1\/3*l**4 + 0 + 3*l + 0*l**2. Find n such that u(n) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 147*j - 166*j + 28 + 7 + 39.\nAnswer: -19*j + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*w - 3*y, 3*w - 31 = -5*y - 11 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhphhp. What is prob of sequence hp?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -377 divided by 5\nAnswer: -377\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -196.9 - -199.9. What is the closest to r in -4\/9, -2, -5\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1029 + -128a5?\nAnswer: -13912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1458*q**2 + 4*q - 5. Let a be m(1). Let p = 2068 + a. Let d be (p\/(-102) + 6)\/((-2)\/(-6)). Is -1 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - h**2 + h - 1. Let y be (-225)\/(-30)*(-8)\/10. Let x be 4\/y*15*(-2)\/(-4). Let n(i) = 2*i**3 - 5*i**2 + 5*i - 5. Give x*p(c) + n(c).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1*197.63.\nAnswer: 810.283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -12, -18, -26, -36, -48, -62?\n\"Answer: -u**2 - u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + d**4 + 2*d**4)*(-88372 + 175368 - 100967)*(0*d + 2 + 0*d + 2*d).\nAnswer: -55884*d**5 - 55884*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g + 3*g + g + (-2 - 10 + 4)*(3*g - 3*g - g) + 3*g + 1 - 1 + g - g - 2*g + g + 2*g - 4*g + (0 + 2 + 0)*(-1 - g + 1) - 3*g + g + 3*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -341*c + 1005. Give h(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**2 - 4*i. Let j be f(-3). Suppose 35*h - 1564 = -11*h. What is the remainder when j + (-2 - 0 - -1) is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11414000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is bb3 + -5?\nAnswer: baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 126\/(-68))\/(22\/(-616)). Let c = -80 + v. What is the nearest to 2\/7 in 0.3, c, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14552 - -14551.999987606. What is x rounded to seven dps?\nAnswer: -0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1, 2.\nAnswer: -4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n - 1. Suppose -3*w - 6 + 0 = 0, -l - 6 = 4*w. Suppose l*o + n*o - 32 = 0. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 11:12 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428088.\nAnswer: 2, 3, 17837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 + -144. Let y be 2\/(-6) + m\/(-39). Which is the closest to 1.8? (a) 0.1 (b) 4\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 4369869.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 2*i**2 - 2*i - 4. Let b(k) = k**3 - k - 1. Calculate -2*b(v) + l(v).\nAnswer: -3*v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -135 + 109740*g + 27 + 43248*g. Let s be k(-9). Round s to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -43832220 and -796280?\nAnswer: 43035940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*d + 20*d + 32*d + 1 + 23*d + 6*d**3 as f*d + n + o*d**3 + a*d**2 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33540 (base 6) in base 2?\nAnswer: 1001010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8\/7, -14, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 260, 252, 242, 230, 216?\n\"Answer: -c**2 - 5*c + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11816865 and -681286.\nAnswer: 11135579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1526 - 1523. What is the remainder when 150 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19\/(-3))\/(5\/(-15)). Let p = 35 + -18. Let g be (-4)\/14 + (-111)\/(-21). Solve 3*r = g*a - i, 3*r + p = 4*a - 0*r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478 = -23*o + 3*y + 483 - 952, y - 17 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 528. Let d be (0 - -15) + (-33)\/11. Calculate the greatest common factor of u and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28573*n**3 - 117*n + 4407164 wrt n.\nAnswer: -85719*n**2 - 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 1\/5, 12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 6:40 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3574530257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (561 - 585) + -35 + (0 - 5).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 241 = -5*t, -2*t + 15 = t. Let w be (-698)\/(-18) - 12\/a. Let f = -25 + w. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32001 divided by -1049.\nAnswer: -32001\/1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 3:48 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(200)*-2)**2 + sqrt(200) + sqrt(2)).\nAnswer: 22*sqrt(2) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33a (base 11) to base 14.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adkkhbkhhahakbhaahbi. What is prob of picking 1 a and 1 k?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88230898081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - 270?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15546413461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15.11762km?\nAnswer: 1511762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78380.7kg in milligrams?\nAnswer: 78380700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -2\/9, 1\/3, -10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714064465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + u. Suppose -r + 2 = -u*r. Suppose 0 = -r*l + 7*l - 4*i - 495, 0 = 5*l - 5*i - 490. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5\/10 - 83*i**4\/10 + 257*i**3\/10 - 89*i**2\/10 - 128*i\/5 + 86\/5 = 0 for i.\nAnswer: -86, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 203 + -200. Factor f**4 - 11375 + 3*f**g + 11375 - 4*f.\nAnswer: f*(f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/11 - 886*a**2\/11 + 6088*a\/11 + 6976\/11 = 0. What is a?\nAnswer: -1, 8, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**3\/3 + 1. Let h(v) be the third derivative of -7*v**5\/12 - 532*v**2. Determine h(j(m)).\nAnswer: -35*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 3 + 6)*(-2 + 9 - 3)*(2 - 3 + 2)*(3*g**4 - 2*g**4 + 0*g**4).\nAnswer: -48*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:14 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 10*q. Suppose k = -5*d + 48, -40 = -3*d - q*k + 5*k. Solve d = 2*s + 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 73 - 46 = -s, 0 = 3*g + 3*s + 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (22863\/12)\/(15\/60) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 15 = 2*l. Suppose 4*i + 2*d - 4*d - 38 = 0, 4*i = -3*d + 43. Calculate the least common multiple of l and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, c: 3}. Give prob of sequence cxxc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -113478, 32, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -79, -2, 44 in decreasing order.\nAnswer: 44, 3, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150306 divided by 6.\nAnswer: 25051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 1:48 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -73*k**4\/4 - k**3\/2 + 3603*k**2\/2 - 2*k - 601. Differentiate z(t) with respect to t.\nAnswer: -438*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*z = -5*r + 124*z + 9, -1 = r + 2*z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -u - 5, u - 6*u + 15 = -3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 1}. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 3*l - 2*l)*(-2*l + 2 + 0*l + 4*l)*(5 - 7 - 1) - l**2 - l + l in the form n + f*l**2 + z*l and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 26461534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of -3 + 759160\/15 - 7*(-14)\/(-147)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f*f\/(f*f**(-2\/9)\/f)*f*f*f)\/f*f\/(f\/((f\/f**(-1))\/f))*(f**(-4\/7)\/f*f)\/(f**(4\/5)\/f)*(f*(f**(-2\/9)\/f)\/f*f**8*f)**(-33) assuming f is positive.\nAnswer: f**(-79007\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -19. Suppose 0 = -o - o + x. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**3\/3 - y**2 - 17*y + 518. Calculate o(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4732 (b) -9 (c) -10\/291\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 5. Let x(q) = -3*q**3 - 7*q + 8*q + 0*q**3 + 6*q**3 - 2*q**2. Let y be x(1). Let w be (y\/(-4))\/(1\/(-14)). Determine f(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.485 - 0.4. Let k = 4.915 + p. What is the second smallest value in -5\/2, k, 9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 161561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -21. Let f be 0\/i + 8 - -1. Suppose f*n - 5*n - 488 = 0. 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 237 minutes before 6:12 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(828\/24))\/((-4)\/(-1))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 921973.4.\nAnswer: 921973.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000211002 + -1000122?\nAnswer: -10001211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 11*k**4\/8 - 5*k**3\/6 + 33*k**2\/2 + 20. Let l(r) be the second derivative of c(r). Differentiate l(d) with respect to d.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/7189792 and -69\/80.\nAnswer: 35948960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -20199.\nAnswer: 5\/20199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3724, 1, -1, 0 in descending order.\nAnswer: 1, 0, -1, -3724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*n - 3*n - 884, -1420 = 5*q - 5*n. Let o = q + 288. Sort -2, o, -7.\nAnswer: -7, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7124, 7127, 7124, 7109, 7076, 7019, 6932, 6809?\nAnswer: 6644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 2258 + 4*i**2 + 2*i**3 - 6*i**2.\nAnswer: i**3 - 2*i**2 + 2258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.601 - -2.701. Put 0.04, -26\/9, o in decreasing order.\nAnswer: o, 0.04, -26\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 6*t + 13. Let h be r(-4). Let f(n) = 2*n - 3*n**2 + 4*n**2 + 5 - 3. Let k be f(-2). Solve k = b - x, -5*x = -b + h*b - 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Let p = 2 + 6. Let v be (-6)\/h*p\/42. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*x + 291235*x**3 - 111*x.\nAnswer: 291235*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*m = -331*m - 18. Calculate the remainder when 35 is divided by m*(3 - (-30)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*i - 16 = -4, i = -l - 2. Suppose 5*a = l*a + 160. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 15 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-60))\/(-25 + 20 + (-94)\/(-18))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-1\/22)\/(o**(1\/4)\/o*(o*o**(-1))\/o)*o**(1\/3)*o**(5\/4)*o*o*o\/((o\/(o*((o*o\/(o*o*o**2\/o))\/o)\/o))\/o)*o**6 assuming o is positive.\nAnswer: o**(679\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40528 + -2188385\/54. Calculate the common denominator of 53\/12*24\/(-60) and r.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 6233025659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.43, -0.4?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.43 + -0.43. Put c, -1, -8 in ascending order.\nAnswer: -8, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 24*o**2 - o - 30. Let j be x(-24). Let c be (4\/j)\/((-4)\/48). What is the highest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c = 3*u + 6, -2*u = c - 8. Factor 24*x + 21*x - 27 - 9*x**u + 3*x**3 - 12*x**2.\nAnswer: 3*(x - 3)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220396871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 792 and 1552364.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -36, 6 in increasing order.\nAnswer: -36, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -13*t - 9\/4*t**4 + 0*t**2 + 107\/6*t**3 - 3. Find the second derivative of o(b) wrt b.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)\/v**(-1\/7) assuming v is positive.\nAnswer: v**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -34\/9, 3, -0.4, -2, 3\/5 in ascending order.\nAnswer: -34\/9, -2, -0.4, -1\/8, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -4 + 2\/15*a**3 - 1\/5*a**2 + 1\/10*a**4 + 0*a - 2\/25*a**5. Factor z(g).\nAnswer: -2*g*(g - 1)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Let b be (1 + 187)\/(k\/(-2)). List the prime factors of (-4)\/1 - b\/8.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlnn when four letters picked without replacement from {l: 2, n: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12000 - 11989. Let c = 10 + -6. Let k be ((-234)\/(-8) + 1)*c. What is the highest common divisor of k and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287136 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 18. Let a be g(-12). Solve a*f = 5*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 33596181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-32)\/(-60))*(2\/(-2))\/(-3)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -347*c**3 - 35*c**2 + 6*c + 40. What is u(-1)?\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + 5.98. Let j = -3 - q. Let n = j + 8.7. What is the nearest to 1\/8 in 2, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d + 1. Let y(z) = -z. Determine -p(w) - 3*y(w).\nAnswer: 5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -1879*p**5\/5 + 8*p**2 - 27*p + 1860. Find the second derivative of y(k) wrt k.\nAnswer: -22548*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 521*x**2 + 69647*x - 462343.\nAnswer: (x - 257)**2*(x - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -23*r**3\/6 - 27*r**2\/2 + 8*r + 2. Find the first derivative of i(j) wrt j.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**4 + 11*h**2 - 3*h. Let d = 18 + -20. Let x(b) = 5*b**4 + 11*b**2 - 2*b. Let n(v) = d*q(v) + 3*x(v). Find the third derivative of n(o) wrt o.\nAnswer: 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, t: 1}. Give prob of sequence uu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-33)*48\/(-160)*5\/(-2)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvmv when four letters picked without replacement from {y: 5, h: 5, v: 2, l: 1, m: 1, p: 1}.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 1686269583160.\nAnswer: -1686269583160.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 567\/(-168) - (-3)\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let s be 0 + (-1 - -8 - 2). Let q be 3 + -2 - s*1. Is j <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + h = 3*i - 37, -i - 3*h - 13 = 0. Suppose 4*y - 44 = 2*r + y, -4*r = 4*y + 48. Let f = i - r. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -75a + 106?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 643697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -407*k**7\/210 - 184*k**3\/3 - 258*k**2. What is the first derivative of n(l) wrt l?\nAnswer: -1628*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/19)*j*j*j\/(j**(-9)*j)*(j**13)**17 assuming j is positive.\nAnswer: j**(4410\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1183376.9521491 + -1183377. Let h = j + -0.1021494. Let d = h + 0.15. What is d rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 311 - 314 + 2*p**4 + 1523*p - 1912*p as x + o*p**4 + s*p + h*p**2 + g*p**3 and give s.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2692\/27 - 508\/27. Let t = 242\/3 - y. Sort -2\/65, -3, t.\nAnswer: -3, t, -2\/65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2*h)**(-3\/8)*(h\/(h\/(h\/(h*h\/h**(1\/5)))))**(-4\/9) assuming h is positive.\nAnswer: h**(-277\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -48*o + 7*o + 5 + o**3 + 3*o**2 + 0*o**3 + 15*o**2 - 24. Calculate the remainder when x(-20) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -14, 11, 2479, 1 in descending order.\nAnswer: 2479, 11, 1, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1298\/(-4543)*7*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 116\/6 + 3\/(-9). Suppose -6*a + 13 = -2*a - 3*t, 0 = 4*a - 5*t - l. Let j(z) = 9*z**3 - 2*z**2 + z. What is j(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -320 + 400. Let n = o + -79.6. Which is the third biggest value? (a) n (b) 4 (c) -0.077\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.47 + 0.77. Suppose 0 = -h - 2, -4*g - 18 = 3*h. What is the biggest value in 5, z, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 23 + 32. Let a = 16 + c. What is a rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 190*y. Let u(m) = m. What is u(r(p))?\nAnswer: 190*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**7\/2520 - i**6\/180 + i**5\/24 + i**4\/24 + 2*i**2. Let t(j) be the second derivative of g(j). What is t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 11:02 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 5, -235, 1 in decreasing order.\nAnswer: 5, 2, 1, -4, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515 = 3*b - 5*x, -3*b = 2*b + 4*x - 846. Let m be (-3*1)\/(10\/b). Let z = m - -119. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - o - 1)*(989*o - 506*o + 1698 - 481*o).\nAnswer: -2*o**2 - 1698*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/121*-13*18\/156.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10187.\nAnswer: 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/5))\/(b\/b**(1\/2))*b\/(b*(b\/(b**(-4)*b))\/b)*b*b**(-4)*b)\/((b**(-1\/4)\/(b**(-1)\/b))\/(b\/((b*(b\/b**(1\/4))\/b)\/b)*b**(-6))) assuming b is positive.\nAnswer: b**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170003956.\nAnswer: 2, 42500989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.46 and 66.458.\nAnswer: 229.94468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*sqrt(209) - sqrt(209)) + sqrt(209) + -1*1*sqrt(209))\/(6*(sqrt(11) + sqrt(11) + (sqrt(110)*2)\/sqrt(10))*3).\nAnswer: -5*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/((j*j*j\/j**(-1\/2))\/j))\/j)**(-40)*(j**(-5))**(-3\/2) assuming j is positive.\nAnswer: j**(135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/9, 2009, 0.2, 4, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 4:43 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7*30\/72 - -4. Let q = w - 19\/12. Let y = -2 - 3. Which is the nearest to q? (a) 0.3 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 410207, 410364, 410521, 410678, 410835, 410992?\nAnswer: 411149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*i + 220*i + 221*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1391 divided by -7?\nAnswer: 1391\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 109*r - 532. What is o(5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 14. Suppose -2*q + 13 = -5*r, -q - 4 = -5*r - 8. Calculate the remainder when 29 is divided by 132\/q + o\/(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + z - 1)*(-272 + 31 + 9)*((3*z - 2*z - 3*z)*(-7 + 2 - 2)*(-2 - 1 + 2)*(0 - 2 + 0) + (1 - 6 + 4)*(z + 3 - 3)) to j + f*z + k*z**2 and give k.\nAnswer: -6264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101320 (base 5) in base 10?\nAnswer: 3335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 + 455?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = -13 - 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohhbsnb. Give prob of sequence onh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1573) + (sqrt(1573) + -4 + (sqrt(1573) - (sqrt(1573) + 0)))**2 + sqrt(1573) + 5 + (0 + sqrt(1573))*-6 + 0 + 1)*-5.\nAnswer: -3960*sqrt(13) + 47850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1864 greater than or equal to -11161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37580400 divided by 21900.\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233339, 233270, 233183, 233078, 232955?\nAnswer: 232814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46322 and 507528.\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/((-14)\/(-21) - (-4)\/(-15)). Suppose -y*d + 1339 = -22*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -78. Let b be -6*-1*(-12)\/(-63). Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -91, -615, -2013, -4711, -9135, -15711?\n\"Answer: -71*m**3 - 11*m**2 + 6*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*s. Suppose 2 = 2*x - s. Let d be (5 - 326) + 0 + x. Round d to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 smaller than -512\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) + -1 + sqrt(44))) + ((-1 + sqrt(11))*-1)**2.\nAnswer: -4*sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 + a**2 - 174*a\/5 - 72.\nAnswer: (a - 12)*(a + 2)*(a + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -105.43115.\nAnswer: 10.543115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-13)*y**(-22)*(y\/(y\/(y**4*y)))\/(y\/(y\/y**(-1\/3))) assuming y is positive.\nAnswer: y**(-89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(192) - sqrt(12))\/(sqrt(6) + sqrt(60)\/(sqrt(30)\/sqrt(3))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from zziizisizinzii.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, j: 3, u: 2}. Give prob of picking 4 z.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 3*q - 4. Let o(k) = -k**2 + 3*k + 4. Let d(w) = 4*o(w) + 3*v(w). Let s be d(4). Solve 2*g + 3*c - 3 + 10 = s, -5*c + 20 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {x: 4, z: 2, l: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*y + 2, -6*h + 2*h = 5*y + 9. Let b be (-3)\/4*(y - 3\/(-9)). What is the smallest value in 5, b, 0.8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t - 0, 0 = -5*b - 2*t + 44. Calculate the least common multiple of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(12*11\/(-88)). Let f = 87 + -25. What is the highest common factor of c and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5182, -5177, -5172, -5167, -5162, -5157?\n\"Answer: 5*n - 5187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3375 - 3441. Let w = 16 + -46\/3. Is n at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -773260 by -18860.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 - 4 - 15*n - 107*n.\nAnswer: -122*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 188 + -190 + (20 - 4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 101111 (base 2) to base 16\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**4 - 42*x**3 - 3*x**2 + x - 149?\nAnswer: 24*x - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 501865 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2983631182 take away -3?\nAnswer: 2983631185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176 + 176.0015. What is g rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4522115 - -3?\nAnswer: -4522112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 0 - 7 + 1 - 5*b. Suppose 11*h + 19 = 2*k + 6*h, k - 2 = -5*h. Let g(o) be the third derivative of 3*o**4\/8 + 11*o**3\/6 - o**2. Give k*y(u) + 4*g(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a4 (base 12) in base 3?\nAnswer: 11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23835371 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -397\/524 + 1\/131. Let x = -505 + 486. Let q(v) = -v**3 - 3*v**2 - v - 2. Let z be q(-3). What is the second biggest value in z, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 2897968050222.\nAnswer: 2897968050221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 13*s**3 + 45*s + 89186*s**2 - 2*s**4 - 44598*s**2 - 44587*s**2 to the form q + h*s**4 + v*s + w*s**2 + u*s**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 6*a**2 + 5*a - 1. Suppose 4*t - 5*j - 40 = 0, -t - 4*t + 5*j + 45 = 0. Suppose c + 0 = t. What is u(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:43 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 40*b + 49. Calculate h(-28).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/21936396 and -49\/72830?\nAnswer: 109681980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 602 divided by 7823\nAnswer: 602\/7823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51789 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/135*14)\/(2200\/29700).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1426, 3384, 6648, 11218, 17094?\n\"Answer: 653*x**2 - x + 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*i + z, 4*i = -0*z + 3*z + 17. Suppose -2*s - 2*f + 18 = 0, i = s + 4*f - 4. Solve -3*c - 2 + s = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11 + 1 = 0. Let d be (8\/(-3))\/(f\/(-39)). Suppose 2*v = 6*v - d. What is the highest common divisor of 26 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 5*f**8\/4032 - 23*f**5\/60 - f**4\/12 + 93*f**2. Let m(r) be the third derivative of z(r). Let j(h) = 6*h. Determine j(m(q)).\nAnswer: 150*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 1568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((5\/(-15))\/((-2)\/36)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -3 (c) 16233 (d) -2.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {h: 10, z: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6336, -12899, -19460, -26019, -32576, -39131?\n\"Answer: p**2 - 6566*p + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.2933 decades to millennia.\nAnswer: 0.092933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*n**2*o - 12*n**2 + 87*n*o wrt n?\nAnswer: 10*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k - k. Suppose -2*g + 5*l + 3 = -3*g, -4*g + 3*l + 57 = k. Suppose 7*v = -16 - g. Let y(i) = 2*i + 6. Give y(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -142 - -69. Let y = d - -75. Solve -4*x + 3*x - 5 = -2*s, y*x = -2*s - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*q + 116429, -1043 + 1041 = -q. What is the remainder when m is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -205467 <= -205504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612 - 4*l**3 + 612.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 3*k - 23 + 7)*(4 - 4 + 3*k + 1 - 1 - 2*k + (-1 + 3 + 0)*(4 + 2*k - 4) + 6*k + 2*k - 4*k).\nAnswer: 27*k**2 + 63*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1989745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 326878207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 4:11 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*(-2*sqrt(90)\/sqrt(5))\/(1*sqrt(24)\/sqrt(4))*-4)**2.\nAnswer: 76800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z + 8 = 0. Let v be 1\/z*(5 + -3). What is the derivative of -v + r + 0 + r wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -584*j**5 - 3037*j**2 wrt j?\nAnswer: -35040*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 4. Let k be (-5 - -1)*(-1)\/2. Let v be w(k). Which is the nearest to -2\/7? (a) v (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1032 and 115\/1032.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 10 + (5 - 14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143 - 145. Calculate the remainder when ((-1)\/f)\/((-10)\/(-540))*1 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197.6512 + -55.6769. Let f = -172 - -314. Let g = p - f. What is g rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.4, 20, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 9) in base 7?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -10. Suppose n + 10 = 4*x, -x + u*n - 3 = n. Is 49 + x\/(-3)*0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283 - -282.5. Put 136, -0.1, d in ascending order.\nAnswer: d, -0.1, 136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.95 + 0.098. Let a = n - 0.048. Let h = 8 + -6. What is the second smallest value in a, -1, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 3, m: 5}. What is prob of picking 2 z?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.32 - 0.31. Sort 0.3, g, -1\/10 in descending order.\nAnswer: 0.3, g, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 + 2*d + 2. Suppose -2*n = -4*n + 260. Let q = n + -132. Determine b(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 1)*(l - 6*l + 6*l)*(-2*l + 2 - 2)*(2 - 4*l - 2).\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u + 15*u - 4*u + 11*u**2 - 9*u**2 - 9 as l*u**2 + f + s*u and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 96358796*z**2. Let c(y) = 4*y. Determine r(c(a)).\nAnswer: 1541740736*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -0.2, 43, 241761, 4?\nAnswer: 241761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2268) - (3 + sqrt(2268))**2)*1 + 3.\nAnswer: -2269 - 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000466238 rounded to 6 decimal places?\nAnswer: 0.000466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 2 - r**2 - r + r**2 + 3*r**2. Give o(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*d - 27*d**2 + 326*d**3 - 631*d**3 + 306*d**3 as a*d**3 + q + b*d**2 + n*d and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqgqddclddqdddddd. Give prob of picking 1 c and 2 l.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 13*t - 21. Let k be a(8). Let z(f) = 4*f - 9. Let q be z(k). Solve 12 = -5*v - g, 3*g = -q - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by 14?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (10 - 0) + -3 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 14456*n + 303139. What is v(21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60761005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-three quarters of a meter?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30730, 30719, 30698, 30661, 30602?\n\"Answer: -p**3 + p**2 - 7*p + 30737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 611 and 611?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 477243 and 12237?\nAnswer: 477243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 100\/(-12) + 10\/(-15). Is 121141\/253 + f\/(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 14*u - 20. Let y be p(-6). Let g(s) = 2*s + 20. Calculate g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 7 = 59. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 6. Suppose 0 = -3*c - 4*b - 11, -2*c - f*b = -c + 17. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/360128 and 79\/50974.\nAnswer: 27729856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -20*p + 4. Calculate the remainder when v(-2) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -17*g + 594. Suppose -s + 3*k - 17 + 52 = 0, -5*k = 4*s - 89. What is the remainder when v(29) is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -134935\/7 + 19235. Is -40 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*l**3 - l**3 + 20*l**2 - 2*l**2 - 8*l**2 wrt l?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123449, -246883, -370305, -493709, -617089, -740439, -863753?\nAnswer: -987025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.406 - -17.506. Suppose 0 = 3*l + 3*y, l = 3*y - 2*y. Sort j, l, -1.\nAnswer: -1, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7953*m - 20 = 7943*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 501.6 and 3.2.\nAnswer: 1605.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 3*b**2 + 4*b - 4. Let u be o(3). Suppose 522 = -12241*z + 12415*z. Solve -q - 4*l + 0 + 6 = 0, -z*l + u = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3470 or -0.198493?\nAnswer: -0.198493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 + 320. Let t = q + -255. List the prime factors of t.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j - 36*j - 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 241937 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 729093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -13. Suppose -4*v - 2*v + 6 = 0. What is the nearest to -1 in v, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -21*i - 230. What is the remainder when 153 is divided by u(-12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -692 + 3?\nAnswer: -68d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22, 67, 128, 211, 322, 467?\n\"Answer: i**3 + 2*i**2 + 32*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1237, -4\/7, 162, 0.05 in increasing order.\nAnswer: -4\/7, -0.4, 0.05, 162, 1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 735445.4 grams in nanograms?\nAnswer: 735445400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/293, -2, -1, 4 in decreasing order.\nAnswer: 4, 1\/293, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 257 + -257. Sort 1, -3, a.\nAnswer: -3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49395276 - -84144648. Suppose 4*o + 2*s = 20597484, 29870123 - 4123271 = 5*o + 4*s. Suppose -4*p = -o + v. Round p to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52380\/(-480) - (-1599)\/(-328)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yygyn. What is prob of picking 2 y?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -589*b**4 + 10*b + 585. Let l(g) = -101*g**4 + 95 - 193*g**4 + 4*g + 198. Let y(j) = 2*f(j) - 5*l(j). What is the derivative of y(u) wrt u?\nAnswer: 1168*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pxpxxxxxxpxpp?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(2\/9)\/k)**(2\/45)*(k*k*k\/(k\/(k*k**(-3\/5)))*k)\/k**(-1\/42) assuming k is positive.\nAnswer: k**(19721\/5670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -5, -0.6, -1\/11, 22?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -146, 1 in decreasing order.\nAnswer: 5, 1, -1, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6672 + 60052\/9. Let f = -150\/23 + 1439\/69. Find the common denominator of f and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11231 + -12?\nAnswer: -11303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(42\/(-12)*2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3549*x + 49517. Calculate q(14).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49167 + 49178. Suppose 0 = -2*r + 14 - 4. Suppose -3*t + 51 = -3*w, -2*t + r*w = -17 - 5. What is the remainder when t is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -30, -48, -60, -66, -66?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 0*h - 3*h)*(-4 + 1 + 5)*(1 + 1 - 4).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 747, 1495, 2243, 2991, 3739?\nAnswer: 4487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*o - 3498 = -81*o. Does 57 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i - 7. Calculate z(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.09453 or -2?\nAnswer: -0.09453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1162*l**2 - 99*l.\nAnswer: 2324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-2*2 + -4*-1*sqrt(119) + sqrt(119))\/(2*sqrt(378)\/sqrt(6)) + -4.\nAnswer: -4 + sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010630254 rounded to five dps?\nAnswer: -0.01063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1432807 divided by 82\nAnswer: -1432807\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g\/(g\/(g**(-40)*g)))\/g))*g**(1\/9))\/(g**(2\/13)*g*g)**(-2\/151) assuming g is positive.\nAnswer: g**(-704213\/17667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 4, 2\/17, -2\/3, -30240, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-176)\/66*(-3)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 190*n**2*v**2 + 344*n**2*v + 599*n**2 - 12063*v**2 wrt v?\nAnswer: 380*n**2 - 24126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-18))\/(84\/56)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11)\/99 + (-106)\/(-198) and 28\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/1056 + 305\/(-132) + (-556)\/(-240)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6577210, 6577267, 6577420, 6577717, 6578206, 6578935, 6579952, 6581305?\n\"Answer: 8*w**3 + w + 6577201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 1\/205?\nAnswer: 1\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-17)*f**(-1\/30)*f**(-1\/15)\/(f**(2\/45)*f) assuming f is positive.\nAnswer: f**(-1633\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 1. Let m(h) be the third derivative of h**4\/12 - h**3\/3 - 7*h**2. Suppose 5*x + 2*l = -11, -x + 1 - 2 = l. Calculate x*m(y) + 4*d(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29.95 + 26. Let b = 123.05 + -123. Let l = y - b. Sort l, 0.03, 2\/5.\nAnswer: l, 0.03, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m*o + m - 15*o**2 + 3*o - 10 wrt o?\nAnswer: -m - 30*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3890900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -2\/73, -9704, 0.02?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (32473\/55668)\/(238\/36)?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -43*k + 107. Let d(v) = -23*v + 54. Let g(m) = 7*d(m) - 4*f(m). Let y be g(13). Is y > 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 334 + -335. Let m be (-26 - -26) + (-2760000)\/z. Round m to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 65503175, 65503178, 65503181, 65503184, 65503187?\n\"Answer: 3*h + 65503172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 >= -3157\/480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -15, -25, -35, -45?\n\"Answer: -10*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 12:39 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3*m**3 + 89*l**3*m + 3*l**3 - l**2*m + 189757*l*m**2 - 4*l*m - 121*l - m**2 wrt m.\nAnswer: 6*l**3*m + 379514*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**4\/8 - 9*c**2 - 3. Let o(u) = -u**2 - 61. Calculate n(o(l)).\nAnswer: -3*l**2 - 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 383 - 165. Let t(y) = 204*y + 1432. Let r be t(-7). Suppose -k = -6*k + r*g + 1114, -4*g + c = k. What are the prime factors of k?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 19*s + 27. Let i(n) = -7*n**2 + 16*n**2 - 1 - 2*n**2 - 8*n**2. Let p(j) = -g(j) - 2*i(j). Differentiate p(v) wrt v.\nAnswer: -2*v - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4689 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + sqrt(243) + 4)*5 - ((sqrt(243) + -2 - sqrt(243)) + -1) - -4*(-5 + 0 + (2*sqrt(243) - sqrt(243)) + sqrt(243))**2.\nAnswer: -630*sqrt(3) + 4011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*s - 28. Find m, given that s*m**5 + 7*m**4 - 3*m**4 - 2*m**4 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i - 3276 = 33*i. List the prime factors of i.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, m: 4, s: 5, f: 1, p: 2, k: 2}. Give prob of picking 1 k, 1 p, and 2 m.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - 772.6.\nAnswer: -704.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -552, -259, -2 in descending order.\nAnswer: -2, -259, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 3*g - 9. Let l be -2 + -3*5\/g. Suppose 2*r = -1 + 7, v + l*r = -5799991. Round v to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18206, -36375, -54544, -72713?\n\"Answer: -18169*w - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 8*v + 11. Let x be l(-9). Let n(m) = 26*m**x - 39*m**2 + 2*m - 2*m. Let p(i) = -2*i. Calculate p(n(s)).\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 550*d**3 + d**2 - 1002.\nAnswer: 1650*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/18)\/((-6)\/(-36)). Let a be 5*(-2)\/(-10)*2. Let p be a\/(-7) - 32\/(-63). What is the closest to f in -1\/4, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 12:24 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 6. Suppose 3*s = -s + r. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -161 + 322?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 12*m = 17*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 152624*l + 152615. Give a(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-4 + 8 + -6 - -7)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828 divided by -457?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-5) - 6\/(-15). Suppose 3*p + 8*p = -88. Let y be p\/24 + -1 + 0 + 0. Which is bigger: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Let c(q) = -2*q - d*q + 6*q. Let a(z) = -6245*z - 6231*z + 18710*z - 6271*z. Calculate a(c(k)).\nAnswer: -74*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -639 - -84a?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:09 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g - 3. Let p be w(2). What are the prime factors of p + -3*(3 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 11. Let l be 2\/9 - (-2)\/h. Solve l = 2*m - 5*s + 1, -2*m - 14 = 5*s - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 11) to base 16\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3140268 is divided by 15244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163 - 82 - 86 - (24 + 2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53772.\nAnswer: 2, 3, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 3 (c) 0.2 (d) -0.3 (e) 2\/103 (f) -8.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**5\/5 + k**3\/3 + 86. Factor a(b).\nAnswer: -b**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*c + 921*c - 43*c + 6921 = 329 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, -5, 22\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m - 43*m + 95*m - 15*m - 17*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375444927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - y)*(-4*y + 2*y + y) + y**2 + y - y + 3*y**2 + 2 - 2 + 2*y**2 - 2 + 2)*(-6*y - y - 3*y).\nAnswer: -70*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.581474 - 75.568174. Let k = b - -75. Round k to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29568376 rounded to two decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) -2\/3 (b) 2 (c) 10 (d) 1073 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(77) - -1*sqrt(77)*-1))\/((sqrt(275)\/(sqrt(5)*-1))\/sqrt(5)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346 - 146 - 145 - 55 - 2*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 - -5)\/(5\/2))\/((-416)\/1820).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 9\/(-2)*(-1104)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 10, 119, 350, 745, 1346, 2195, 3334?\nAnswer: 4805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67496 is divided by 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-6)\/m)\/m)\/(m**(3\/7)*m))\/(m**(1\/4))**(-3\/40))**28 assuming m is positive.\nAnswer: m**(-10539\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41, 46, 161, 316, 523, 794, 1141?\n\"Answer: 2*m**3 + 2*m**2 + 67*m - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1632 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/756 and -101\/3996.\nAnswer: 27972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let n be -11 + 5 + -1 + 1. Let f be 627\/484 - (0 + n\/(-8)). Which is smaller: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.99+-200185192958\nAnswer: -200185192957.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 927733*s - 927730*s - 18 = 0, 3*s - 15 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-26)\/(-6))\/(2 - (-2770)\/(-1395)). Let p = 4791\/16 - j. Find the common denominator of p and -47\/92.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -35*m**2 + 2. Let q be n(2). Let u = 134 + q. Which is the third biggest value? (a) u (b) 0.13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.35 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -25*q**3 - 307*q**2 - 605*q - 192. Let j(v) = 37*v**3 + 460*v**2 + 908*v + 288. Let t(l) = -5*j(l) - 8*m(l). Determine w so that t(w) = 0.\nAnswer: -8, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/(-54) + (-4)\/18. Is g > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**5\/30 - r**4\/8 + r**3\/6 + 2*r**2 - 5. Let d(c) be the second derivative of b(c). What is the tens digit of d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 75437\nAnswer: 4\/75437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**3\/3 + 17*v**2\/2 + 6*v + 1. Suppose -28*d = 18*d - 690. What is the remainder when 139 is divided by s(d)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 + -317. Let i = c - -100. What is the nearest to i in -0.1, 0.08, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1196*d*j**5 - 3*d*j**3 - 180*d*j**2 + 2*d*j + j**4 + 11*j**2 - 2*j wrt j.\nAnswer: 71760*d*j**2 - 18*d + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*3\/(-9) + 2. Let y be -5 - (-3 + (3 - 1)) - -8. Let r(x) = y + 7*x**2 - 8*x**n - 4. Let i(u) = 5*u**2. Determine i(r(o)).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 + 2*i - 1. Suppose 5*f = 4*j + 1, -4*f + j - 6*j + 9 = 0. Let k be t(f). Suppose -17 = -5*u + 63. Put -4, k, u in ascending order.\nAnswer: -4, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-3))\/(-4 + 112\/42). Solve -52 + a = -24*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37577978*u**2 + 262*u - 37441 wrt u?\nAnswer: -75155956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 44 = 6. Let l = -7 + v. Suppose -l*s + 2 = -2*s. Solve 6*f = s*f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 22*m**2 - m + 4. Let x(f) = 21*f**2 + 3. Calculate -3*d(p) + 4*x(p).\nAnswer: 18*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycp when three letters picked without replacement from {p: 1, y: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 16*d - 1. Let s be q(-1). Let j = s + 20. Calculate the lowest common multiple of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29770, -60700, -91630?\nAnswer: -122560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/11*(-7953)\/964?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-11))\/3 + 0. Let q = 0 + 0.1. Let c = 0.4 + q. What is the smallest value in 0.3, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 1. Calculate the smallest common multiple of 1 and f(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-1) + (30\/(-5) - -6). Solve 3 = 5*b - 4*m + 2, o*m + 24 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*u, 4*u = -2*x - 4 + 14. Solve -5*w = -4*w - x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25295 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -106.8 and -15154237494.\nAnswer: -15154237600.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78992 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*k**2 - 23*k**2 - k**2 - 26*k**2 - 17 to the form s + z*k**2 + h*k and give z.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 43*r**3 + 3*r**2 - 5*r - 4. Let l be m(-3). Let q = 3319\/3 + l. Calculate the common denominator of q and 18\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2287155, -2287157, -2287159, -2287161, -2287163?\nAnswer: -2287165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 18. Let p(c) = c - 5. Let n be (5\/(-2) + 5)*2. Let r(g) = n*x(g) - 18*p(g). Let u(d) = -30*d**2. Calculate u(r(t)).\nAnswer: -270*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909801597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 15) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2940\/(-1225) + 11\/(165\/(-234)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*p - 79, -l + 2*l = p - 13. Let w(t) = -9*t**2 + 6*t**3 + 17 - 6*t**2 - 7*t**3. Let j be w(l). What is the highest common factor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - w + 1 + (-2 - 1 + 0)*(-1 + w + 1) to b + n*w and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-28))\/((-3)\/(-98)*-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -1083*k**4\/5 + 2588142*k**3\/5 - 1442091*k**2 - 1604028*k\/5 - 85932\/5 = 0.\nAnswer: -2\/19, 3, 2387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.09 * -4.\nAnswer: 12.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/5107718 and -71\/38157658.\nAnswer: 648680186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/11 - 4\/(-22). Solve -q + 0*q - p = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Suppose 4*q - 1392365 = b*q. Let f = -542365 + q. Round f to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, z: 3, q: 1, f: 1, g: 1}. Give prob of picking 2 g and 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -8 + (-10 - -4 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 18 = -4*p. Let v = 2 - 11. Let m = p + v. What is the remainder when 10 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813895 to the power of 1\/2, to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1115, -1120, -1127, -1136, -1147, -1160, -1175?\n\"Answer: -j**2 - 2*j - 1112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 551a8?\nAnswer: 55201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*b = -84*b - 1264. Suppose -2*t - b = -2*w, 4*w + 0*t - 341 = -t. What is the highest common factor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 9*x - 10. Let b be m(-8). Put b, 2, -3 in decreasing order.\nAnswer: 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(-1\/11)*y)))\/y**(2\/31) assuming y is positive.\nAnswer: y**(288\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnunnnnncnnn. Give prob of sequence ucnn.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49428\/13 + -3802. Which is the smallest value? (a) l (b) -5 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5700)*2)\/sqrt(3).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*c + 10. Let o(g) = 4*g - 3. Let r be o(c). Solve -r*z - 15 = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659346?\nAnswer: 2, 3, 109891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 26 = 2*c - 4*l, -5*c + 240 = 2*l. Let b = 48 - c. Suppose 0*j + 8\/7 - 6\/7*j**b - 2\/7*j**3 = 0. What is j?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 - 155*q + 1424. Calculate z(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 3 - -10) + -4 - 9 - 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 b when four letters picked without replacement from bdpddpdp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7821 - 34?\nAnswer: -7855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6599009 is divided by 75.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.072092?\nAnswer: 0.36046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(z - 1 + 1)*(-3*z + 4*z + z)*(-197*z + 197*z + 9*z**2).\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/7*m + 1\/7*m**2.\nAnswer: m*(m - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47019409?\nAnswer: 3079, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-99)\/(-22))*-13*(-6)\/12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 - (82 - 92)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/5)*a*a)**(-47))**(-34))**11 assuming a is positive.\nAnswer: a**(140624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.504505 nanometers?\nAnswer: 0.002504505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -9. Suppose -6*g - 2*g + 40 = 0. What is the remainder when f is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*215\/55 - -3. What is the nearest to 0 in 0.1, g, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5105 - 52382 = 1159*n - 314*n + 3423 for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -48*h**2 - 48. Suppose -k - 402 - 219 = -24*k. Let b(n) = -7*n**2 - 7. Give k*b(t) - 4*r(t).\nAnswer: 3*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27883411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-819)\/(-364))\/(3\/(-8)). Let u(g) be the third derivative of g**5\/60 + g**4\/12 - g**3\/2 + 9*g**2. What is u(o)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 227?\nAnswer: -29\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.38237707 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846 - 696 = 5*m. Suppose -a - 3*r + 78 = 0, 2*a - 3*r = 151 - 4. Calculate the highest common factor of a and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/26544 and 61\/4452?\nAnswer: 1406832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**3 + b**3 - 2*b**3)*((2 - 1 - 3)*(-3 + 3 + 2) - 2 + 1 - 1 - 1 + 13 + 1 + 0 - 2 + 1) in the form p*b**2 + d*b**3 + a*b + g and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305472?\nAnswer: 2, 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -897, -1763, -2629?\n\"Answer: -866*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3319, 10815, 26649, 54991, 100011, 165879, 256765, 376839?\nAnswer: 530271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 + s**2 - s**2 + 2*s - s**2. Is a(2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-3)\/1)\/((-1275)\/(-25)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33538897 = 18*c + 33538339 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/10)\/(21\/1015). Let k(x) = -x - 60 + 118 - r. Let i(h) = 71*h**2. Determine k(i(g)).\nAnswer: -71*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 766 = -5*h, -2*v + 1521 = -0*v - h. Factor 475*g**2 - v*g - 707*g - 20 + 1582*g - 1054*g.\nAnswer: 5*(g - 2)*(95*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffmffffffffffffffff. What is prob of picking 4 f?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0 (b) 2\/9 (c) -0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -99.038 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/((621\/(-675))\/23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187 - 96057*u + 3320*u - 187.\nAnswer: -92737*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9*11\/(-13). Let o = z + 8\/13. Let n = -7.3 + 7. Sort o, 0.2, n in ascending order.\nAnswer: n, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748759 (base 10) in base 16?\nAnswer: b6cd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v**2. Let f = -57 - -78. Let p(q) = -f*q + 42*q - 22*q. What is p(x(b))?\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(48)\/sqrt(3))\/(sqrt(200) + (sqrt(200) - (sqrt(200) - sqrt(200)*-2 - sqrt(200))) + sqrt(200)))**2.\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2929, -5853, -8773, -11689?\n\"Answer: 2*m**2 - 2930*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-1\/35)*p**(2\/19)*p**(1\/8)*((p\/(p*p**(2\/15)))\/(p\/(p**4*p)))**(-9\/8) assuming p is positive.\nAnswer: p**(-4353\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1193*h**4*i + i - 1344 wrt h?\nAnswer: -4772*h**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41.08 - 0.08. Let k = l - 38.1. Let f = -2.90000045 + k. What is f rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 5*v**3\/6 - v**2\/2 + 3*v. Suppose 14*b - 67 - 31 = 0. Let u(l) = -9*l + 1. Determine b*k(o) + 4*u(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 584703 + -13?\nAnswer: 5846b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 7, -1.6, -1\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 202 in -0.3, -12, -3\/8, -119, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 1434173?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 706097 and 94563?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 - a?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6133794.\nAnswer: 2, 3, 61, 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 16, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - c - 1. Let f(s) = s**2 + 8*s - 2. Let r be f(-8). Let y be z(r). Solve -g = y*q + 18, -3*g + 14 = -5*q + 3*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = h + 1870, 372 = o - 2*h - 258. Which is smaller: 625 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 20, d + 77929 - 488230 = 4*m. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 121*d**5\/2 + 5115*d**4 - 795884*d**3 + 19700355*d**2 + 21847311*d\/2 + 1497690 = 0?\nAnswer: -172, -3\/11, 43, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.15 + 0.95. Let q = j + 0. Which is the smallest value? (a) q (b) -0.04 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483477 is divided by 519.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 - -133.9. Let r = 39.8 + -40. Which is the closest to d? (a) -0.02 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2920 - 39664 = -41*i - 8144. Is i a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27070 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -31 (b) -2\/5 (c) 2\/5 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 5:35 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-4559)\/(-4491))\/(25\/80). Let h = -2\/499 + p. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 0*c + 9 = -2*k, 69*k + 29*c + 96 = 43*k + 25*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 83 = -53. Solve -2\/13*s**f + 0 + 0*s - 2\/13*s**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0452 - 226.9548. Let b = y - -83. Let t = 144.00000073 + b. Round t to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 4, -0.2, 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 23. Factor -4*v - 2 + 0 + 4*v**2 + 0 - h.\nAnswer: 4*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/(-144))\/(1\/(-9)). Suppose 2*j = -2*l + 54, -h*j = -3*l + 2*j + 46. Let p = 42 + -20. Calculate the least common multiple of l and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:09 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8747734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + (29 + -68 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p + 131 = -5*w, -3*w + 861*p = 860*p + 25 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64.8357 - 410671.8357. Let q = 410608.409909 + c. Let k = -1.41 + q. Round k to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/40086 or 1?\nAnswer: -1\/40086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5435 - 11351 = -14*p. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o + 35 = 0. Let w = o - -12. Suppose 0 = 3*r + y + y - 44, -w*y = 2*r - 22. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8)*-38 + 40\/80. Solve 0 = 4*s - b + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:27 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*h = -4*z + 3, -5*z - 3*h = -32. Suppose -18 = -5*x + z. Suppose 19 = b - 3*f, -f + x = 5*b + 2*f. Solve 0*n + 12 = b*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -192401 <= 0.3876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33304 + 511?\nAnswer: -32353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*((sqrt(242) - (2*sqrt(242) + sqrt(242)))*1 + sqrt(242)) + -4 + 1 + sqrt(242) + -2*sqrt(242) + sqrt(242) + 3)**2.\nAnswer: -7744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/868*((-33)\/(-15) + -1). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2761\/8931 - 1\/687. Let r = 197 + -192. Suppose r*k + 25 = 0, -2*v - 3 = -4*v + k. Which is bigger: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112 - -112.58. Let l = 0.68 - f. Let x = -3 - -1. What is the closest to x in l, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 2*x**3 + 3\/2*x**2 - 13 + 0*x + 3\/4*x**4. Factor o(n).\nAnswer: 3*n*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*s = 11, c - 11 = 3*s - 2*s. Let b = c + -8. Find the third derivative of 3*d - 2*d**4 - 2*d**2 - b*d wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/4*(-4)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 3\/7, 110, -0.38, 3?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2686 divide 414249781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and -110332.\nAnswer: -2758300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 15. Solve 4*y + 0*o = 3*o, y - 5*o = q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/232*6\/9*-2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 515 + -514.9. Which is smaller: b or -2\/455?\nAnswer: -2\/455","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -33. Suppose -a = 3*f + 7 + n, 2*f = a - 5. Let i be 31*a*(4 + -3). Round i to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228 (base 15) in base 12?\nAnswer: 229b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 + (-17)\/(-3). Suppose 4*z = o*f - 2241, z + 2*z + 12 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -33. Let j be ((-3)\/3)\/((2\/s)\/1). Factor 9*k**3 - 7*k**4 - 3*k**3 + j*k**4 - 6*k + 3.\nAnswer: -3*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6102406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 10:27 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 8*w**2 - 3*w + 4. Let a(d) = 7 + 528*d + 538*d + 3*d**3 + 537*d - 1608*d + 15*d**2. What is -3*a(n) + 5*b(n)?\nAnswer: n**3 - 5*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/7 + 51*o**2\/7 + 90*o\/7 - 648\/7.\nAnswer: -3*(o - 18)*(o - 3)*(o + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 9281 = -7681. What is the highest common factor of 320 and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 54\/5 of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 4, -1, 578?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0974 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l + 2*l**2 + (l - 2*l - l)*(-5*l - 11*l - 11*l).\nAnswer: 56*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 23 + 49*n)*(28*n**4 - n**2 - 1982*n + 1982*n).\nAnswer: 1372*n**5 - 49*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5247710 is divided by 22522.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 227570283455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5. Let d(v) be the first derivative of v**4\/12 - 2*v**2 - 68*v + 88. Let h(f) be the first derivative of d(f). What is 5*h(z) + 4*w(z)?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(320))**2 + -1 + -3*(sqrt(5) + sqrt(180))**2*-5.\nAnswer: -64*sqrt(5) + 4010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/6)\/((-2)\/(-52)). Let h(v) = -6*v + 10. Let d(o) = o + 1. Let j(x) = 5*d(x) + h(x). What are the prime factors of j(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(32)\/(-1*sqrt(4)) - 1*sqrt(200)))\/(((sqrt(288) + 1*sqrt(288) + sqrt(288))\/sqrt(8))\/(sqrt(45)\/(-2*sqrt(5)))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 117 in 9, -1\/688, -1\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 4. Let z(f) = f**2 + 9*f - 8. Let i be z(-10). Suppose 0 = i*j - 9*j. Put j, 1, u in ascending order.\nAnswer: u, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 400704137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10328850 divided by -945.\nAnswer: -10930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 12, p: 4, b: 1, u: 2}. Give prob of picking 2 v and 1 u.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1022 - 531 + 554 + 218 + 1932)*(-2 + 0 - 1)*(-v + 3*v - v).\nAnswer: -9585*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2592*m**2 - 9177*m**2 + 3427*m**4 - 2786*m**2 + 2450*m**4 wrt m?\nAnswer: 141048*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 + 985*o**4 + 19850*o**3 + 104890*o**2 - 19855*o - 105875 = 0. Calculate o.\nAnswer: -175, -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113 + -112.51. Suppose 0 = 7*s - 4*p + 20, 148*p - 150*p - 24 = 5*s. What is the second smallest value in 1, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172783 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-2 + sqrt(343))*-1)**2*5 - (5 + (sqrt(343) + 1*sqrt(343) + sqrt(343))*1)**2) + 3.\nAnswer: -4128 - 1050*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 - 32535?\nAnswer: -32503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48381421*p**4 - 36005492*p**2.\nAnswer: -1161154104*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/6*2*-3. Suppose g + 0*g = 0. Suppose 16*p - 11*p - 130 = g. What is the greatest common divisor of p and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.1 + -13. Let b(d) = -8 + d**3 + 0*d**2 - 5*d**2 + d**2 - 3*d. Let a be b(5). Sort a, z, -2\/27 in decreasing order.\nAnswer: a, z, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3787.69kg in grams?\nAnswer: 3787690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 2742?\nAnswer: -2743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 - 8*l - 8. Let u = -51 + 56. Let x be -4 + (4\/5)\/((-2)\/u). Let a(o) = -o - 1. Give x*a(j) + n(j).\nAnswer: -3*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.04968 - 83.06832. Let t = l + 84. What is t rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:05 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*j**3*y**3 + 2*j**3*y**2 + 24*j**3*y + 9*j*y - y**3 wrt y.\nAnswer: 402*j**3*y + 4*j**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1608900 and 176979.\nAnswer: 17697900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -3. Calculate the remainder when 47 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5636, 5652, 5702, 5804, 5976, 6236?\n\"Answer: 3*p**3 - p**2 - 2*p + 5636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854*o + 73573 = -916*o + 59*o for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524 + 568 = 11*p. What is the closest to 2 in 0.4, 2\/69, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1233443+0.03\nAnswer: 1233443.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 7*l**2\/2 - 5*l - 4791. Let r(k) = -k + 1. Determine -4*r(h) - z(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -3650667?\nAnswer: 3650672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 632537.6 centuries in millennia?\nAnswer: 63253.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35831 is divided by (-242)\/(-10) + (-479)\/2395.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (61 - (-3 + 2)*4)\/(-27) and -71\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 - 3*a + 5. Let s(x) = 20*x**2 + 13*x - 21. Give -9*i(z) - 2*s(z).\nAnswer: 5*z**2 + z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 e when four letters picked without replacement from eeseeheeehhhe?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*b - 12, -5*g + 8*b - 3*b = -20. Solve 0 = l - 5, -i = g*l - 5*l - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 11) + 138\/(-36).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -3*n - 20, -4*n - 80*q + 77*q = 29 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 8*v**2 - 8*v. Let z be l(-7). Let t = 11 - z. Solve -o + t = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180332.\nAnswer: 2, 45083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 - 43*n**2 + 60*n - 260. Is 5 a factor of b(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*k + 88*k + 176*k + 110*k - 28*k in the form j*k + g and give j.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 132366.07 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6340943 - -48.\nAnswer: -6340895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157990656*y**2 + 207081671*y wrt y?\nAnswer: 315981312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 33. Suppose -w + 4*l + 28 = 0, 0 = -v*w - w + 5*l + 112. Calculate the remainder when 53 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 61\/4 + (-1)\/4. Suppose 7 = j*k - 16*k. Let n be 10\/(2 + k) + 101. What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2289574312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 959615, 959578, 959481, 959294, 958987?\nAnswer: 958530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 10 - 7 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29117 + -1805211\/62. Let z = -6\/31 + t. What is the second smallest value in -0.3, z, -1\/4, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/33 - (-29)\/(-3). Let n be 8\/t + 112\/(-35). Is 3 + (-2720)\/(-4) + n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from rxxrxrxxxrm.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -18. Suppose -b + 2*b = 100. Let s be b*u\/2*1125. What is s rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -18. Put g, 2, 3 in decreasing order.\nAnswer: 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 + 5*x**2 - 4*x. Suppose 8 = p - 2*w - 0, 5*p - 55 = -5*w. Let u(j) = 4*j - p*j**2 - 2*j**3 - j**3 + 4*j**2 + j. What is 5*u(a) + 6*y(a)?\nAnswer: 3*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 74 + -59 - -3 - -40\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44053\/20703 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*m - 8 = 0, -3*m + 3 = h + 7. Let t be (5 - 1)*(-1 + h). Sort -2, -1, t in increasing order.\nAnswer: -2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -3 (c) 544778\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 - x. Let p be c(1). Suppose -18 = -o - 14. What is the greatest common divisor of o and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecba when four letters picked without replacement from ceeceecbeaceeceaac.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvlvvvvulv. What is prob of picking 1 l and 1 v?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 2*s**2 + 7*s + 15. Give w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52833?\nAnswer: 3, 11, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 16*u = -14*u - 106074. What are the prime factors of u?\nAnswer: 2, 3, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 4*c + 7. Let i be n(-10). Suppose -4*r + i = 3*r. Let q = r - 18. Solve -5 - q = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -574.6 + 22.6. Let u = 552.1 + k. Put u, -0.1, -2\/7, -0.01 in decreasing order.\nAnswer: u, -0.01, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2473 - -2490. Which is the third smallest value? (a) -2.5 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430327104?\nAnswer: 2, 3, 89, 25183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 + -78. Calculate the remainder when 14 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.888 + 0.112. Let a be (-26)\/(-72) - (-2)\/(-8). Let z = a - 13\/36. Sort 1\/5, r, z in descending order.\nAnswer: r, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 11666321 and 18.81.\nAnswer: 11666339.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.033244099 to five dps.\nAnswer: -0.03324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444 a factor of 2106871088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 39870 = -3*w, 4*i + 31604 + 21536 = 4*w. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 3, 1\/12, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 26 - 74. What is the remainder when 31 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6*l - 30. Let c be l*4\/(-10)*2. Solve k + k = -c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 - 1060*d\/3 - 303600.\nAnswer: 2*(d - 990)*(d + 460)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((3 - 4) + 2). Let h(a) = -l*a**2 + 7*a - 7 + a + 1 + a**3. Does 26 divide h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 - 3*p**5 + 16*p**5 - 4*p + 4*p - 2*p**5 + (3 + 3 - 3)*(-2*p**5 + 0*p**5 + 0*p**5).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let a(d) = 21*d**3 + 69*d**2 - 190*d - 60. Let q(k) = -a(k) + 2*m(k). Find h, given that q(h) = 0.\nAnswer: -5, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(18\/30)\/(2\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1610*k + 1795*k - 2948 - 112508 = 24149 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -67394 and -67394 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxxlllcxxxxxl. Give prob of sequence llll.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14297 divided by -19\nAnswer: 14297\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, j: 3, y: 2, x: 7}. Give prob of sequence qxj.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -11\/12312643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -502*p*y**3 + y**3 - 230 with respect to p.\nAnswer: -502*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 - (-3 + -6 - -4)) - -16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915.1115 hours in seconds?\nAnswer: 3294401.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + -1 - -6) + (23 - 1). Suppose -2*m = m - s. Find the second derivative of 1042 + 32*f**3 - 1042 + m*f wrt f.\nAnswer: 192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1792 and 704?\nAnswer: 19712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 14. Let w be 1 + (8*-1)\/1. Let i = w + g. Which is smaller: -4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36114197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3*g = 9, 2*v - 6 - 2 = -3*g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92059372 and 84.\nAnswer: 1933246812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*x - 82 = 3*x, 3*c - 46 = 5*x. Let d be 3\/(3\/c) - -1. What is the greatest common divisor of d and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/56)\/(198\/396))\/(10\/7)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*j - 250*j = -81*j - 2376 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 divided by 2635?\nAnswer: -123\/2635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72 + 1673?\nAnswer: 1755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -26100410 (base 7) to base 2\nAnswer: -1001000010100111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c + 4*c + 2 - c - 5*c**3 + 0 + 3*c**2 to r + a*c**2 + q*c**3 + u*c and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 724 + -1598. Let l = -588 - y. What is the common denominator of ((-13)\/l)\/(2\/210) and 53\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 31. Let q = k - 14. Solve 0 = 3*g + 3*n, -q*g + 3*n = -0*g - 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.234, 4\/3, 7?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79f9a1b + 1?\nAnswer: 79f9a1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19, 19972, 5.1?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32895.\nAnswer: 3, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 3142 and -0.107 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**7\/10 - 51*a**6\/50 - 63*a**5\/50 + 19*a**4\/5 + 12*a**3\/5 + 3*a - 20. Solve i(w) = 0 for w.\nAnswer: -6, -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m**2 - 7*m**2 - 3*m**2 - 4*m**2 + 65*m + 42*m**2.\nAnswer: 3*m**2 + 65*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -47?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6*6\/16*-16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104931191?\nAnswer: 17, 1297, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 41 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22271967 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 - 83 = f. Let d = 3951\/14 - f. What is the common denominator of d and -61\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**3\/6 - 347*n**2\/6 + 8108*n\/3 - 7592 = 0.\nAnswer: 3, 52, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 7162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z + 58*z + 5 = x, -10*z - 51 = -19*z - 3*x for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/6536 - -40141\/235296. Find the common denominator of -65\/24 and y.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*m = -264792, -l + 85108 = -4*m - 47276. What is l rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 277085 and 3398787.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23499697 and 1703?\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21688 smaller than 5.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -8, 2660 in decreasing order.\nAnswer: 2660, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 6*n. Let k be r(-6). Suppose k = -y + 3*h - 45, -y - 2*h - 43 = -3*h. Calculate the remainder when (-1)\/(-2) + y\/(-4) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*q = -75*q - 60. Solve 0 = -0*u + 2*u - q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 321*i**3*j**3 + 2*i**2*j**3 - 17*i**2*j - 3 wrt i.\nAnswer: 1926*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/10)*b**(8\/9))**27*(b**(-6)\/b**(1\/9))**(-3\/13) assuming b is positive.\nAnswer: b**(23599\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-6)*(-6)\/5. Suppose -o = o - u. Suppose j = -y + 5, -2*y - j + 29 = o*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -995, -993, -989, -983, -975, -965?\n\"Answer: n**2 - n - 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -750 + 770. Solve -4*s + m = 0, y - 20 = 3*y - 4*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -316 or -158712\/503?\nAnswer: -158712\/503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**2 - 30345582*b - 76737862243227 = 0. What is b?\nAnswer: -5057597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/6, 0.5, 28, -451.8 in decreasing order.\nAnswer: 28, 4, 0.5, 1\/6, -451.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from pbpjrppbjb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10434 or -10415?\nAnswer: -10415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2325287 (base 12) to base 6.\nAnswer: -401025451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1050233.\nAnswer: 2\/1050233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -158, 4, -2\/9, -0.317?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*c + 63, 65 = -4*j + 2*c + 299. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -10. Let g be 4\/(-6) - (-43)\/(-3). Let c = -11 - g. What is the biggest value in c, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8129 divided by 15\nAnswer: 8129\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 - 33 = 5*b + 4*v, -5*b - 2*v + 251 = 0. Let c = b + -27. 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: Evaluate (-4)\/14*21\/(-1008)*56.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - k = -4, 6*u - 3*u - k - 14 = 0. Let r(d) = -16*d**3 - d**2 - d - 1. Let h be r(-1). What is the highest common divisor of u and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9260255 is divided by 491.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 8*o - 12. Let s be l(-3). Let y be (s - 1) + 4 + -4. Suppose y*v + 3*h - 167 = 0, -5*v + 4*h + 513 = 84. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngl when three letters picked without replacement from {l: 2, b: 2, g: 2, n: 4, w: 7}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v + 15. Calculate the remainder when w(1) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1877*c - 6117*c = -72741 - 105339 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a day in minutes?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 + 2. Let k = 7 + -6. What is the smallest value in p, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -110100?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-196)\/42)\/(98\/(-126))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -190 - -765\/4. What is the common denominator of i and -113\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 231219.\nAnswer: -17\/231219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 31, -0.2, -2\/13, 11\/17, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 400 - 14?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -22. Let r(k) = -8*k**3 - 13*k**2 + 13. Let w(q) = 4*q**3 + 6*q**2 - 6. Determine p*r(f) - 13*w(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 334, -1, -3, -23, 4.\nAnswer: -23, -3, -1, 4, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 - -2.7. What is q rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 + 28*w**2 + 124*w + 153. What is n(-4)?\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 533757, 533758, 533771, 533802, 533857, 533942?\n\"Answer: o**3 - 6*o + 533762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 824091 and 1008?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/(-640))\/((-7)\/(-14)))\/((-3)\/5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1247 - 2560 = 53*h + 2182 for h.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 16) + -20 + 28.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 13*w**2 + 24*w + 100. Let k be t(-13). Let j = k + 216. Solve 0 = j*r - 14 - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 57\/21 + 2\/7. Differentiate -5*i + 3 - b - 2 + 6*i wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600661 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 2919?\nAnswer: 58380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*(sqrt(88)*4)\/(sqrt(11) - 4*sqrt(44)) + -1.\nAnswer: -40*sqrt(2)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - 315482.5331.\nAnswer: -315482.4731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.32 - -11. Let c = 0.02 + k. Let i = -0.4 - c. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-428)\/(-24) - 3\/36*-2. Let x be (1 + -5)\/(105\/j + -6). Does 16 divide ((-128)\/6)\/((-8)\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -128\/3 (c) 2\/7 (d) -8 (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-3)\/((-27)\/(-6)). Suppose -q*g - 496 = 86. Does 28 divide g\/(-6) - 2\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -67. Let t(n) = 2*n**2 + 7*n - 3. Let r be t(v). Let y(d) = 556*d**2 + 3*d + 2. Let k be y(r). Round k to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/113 or 3.9?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -11. Let n be (-14)\/(-21)*(1 + 2). Solve -r*y = -n*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from hanheetjtteetna.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6674*k**2 + 6*k + 16. Let w be m(-7). Round w to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 62540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8544423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 87*s**2 + 334*s + 166. Let i be n(-83). Which is the second smallest value? (a) 134 (b) 3 (c) -1\/4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q = -131*q + 39060555 + 11959355. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2698?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 * 17147.\nAnswer: -720174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.8 - 31. Let m be (-4)\/10 + (-2)\/(-5). Let q be 10\/(-6)*12\/30. What is the nearest to m in -2, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*x + 6 = 3*t + 58*x, 2*x = 12. Suppose 0 = -0*j + 4*j + 20. Let f = -0.38 + 0.08. Put t, f, j in descending order.\nAnswer: t, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -65217, -77452, -89687, -101922, -114157, -126392?\n\"Answer: -12235*q - 52982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 7. Suppose -5*o + 40 + 145 = f. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 22 = 4*n, 62 = 3*h + 2*n + 17. Is h - -70 - 0\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -9, -0.2, -1\/9, -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677347?\nAnswer: 11, 139, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00248538961 to five dps.\nAnswer: -0.00249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -407*z**2 - 4*z - 8. Let u(y) = -y**2 + y + 2. Calculate -h(d) - 3*u(d).\nAnswer: 410*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.1747 or 6\/167?\nAnswer: -5.1747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -3 - (-12 + 2 + 2 - 20)) + 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -1587.2 + 1587. Put 3, 1\/11, d, 2.7 in decreasing order.\nAnswer: 3, 2.7, 1\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 148 = -5*f + 309, -236 = -s + 5*f. Let c = s - 391. Let b be ((-2)\/3)\/1 + c\/(-15). Solve 0*o + 2*o + b = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-6))\/(-8 + (-1113)\/(-126)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 915.9142 years to months.\nAnswer: 10990.9704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - s = -6*h + 199, 2*s + 6 = 0. Suppose -q - 21 = -h. Suppose 0 = 2*i + 2*a + q, 0*i = i + 5*a + 30. Which is smaller: -12 or i?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10508 - -10529.0046. Let x = -21 + g. Round x to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9680*u - 27*u**3 - 7*u**2 + 2*u**2 - 1 - 1 + 0*u**2 + 9682*u as w*u**2 + b + n*u + a*u**3 and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 116*r = 88*r - 10*r + 1267 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90642263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3601*j**3 - j. Suppose 11 = 4*q - k, 2*k - 14 = -4*q - 0*q. Let t = q + -4. Let v be f(t). What is v rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x + 1. Let r be l(3). Let y be r*(2 + -1) + 1. Let z = y - 9. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3 + 620*c**2 + 6717*c + 10962 = 0.\nAnswer: -609, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, l: 2}. What is prob of picking 2 p?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**5\/15 + 19*k**4\/12 - 8*k**3 + 110*k**2. Factor h(r).\nAnswer: -2*(r - 8)*(2*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 21. Let u be h(31). Solve -u + 30 = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 18438*d - 52 = -18434*d, -5*l = -2*d - 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) 0.2 (c) -0.598 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 710404269 a multiple of 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o**2 + 4*o**3 - 753*o - 777*o - 40 + 1478*o = 0. What is o?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*k - 34*k + 3. What is the remainder when 98 is divided by 55\/(-66)*(k - 31)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Suppose -k + u*k - 14 = 0. Suppose -2*n - 136 = -5*b, 24 = b + 5*n - 14. Calculate the highest common factor of k and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*m**2 + 693*m**2 + 927*m**2 - 133 + 133.\nAnswer: 1442*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.402 * 0.0219\nAnswer: -0.0088038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 3) to base 13.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246338921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 8 = -17. Let s be (-47)\/a + 2\/5. Let n = -4 - s. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-54)*1526\/(-5341)*24.\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 8, 29, 56, 89, 128, 173?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/21)\/(7\/(-3)*390\/2730).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 2*r**2 + 5*r - 3. Let n be (-9)\/12 + 13\/(-4). Let y be z(n). Let m = -4 + 7. Solve -y = -a + m*o + 1, 3*a + o = -10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**9\/(p**(2\/3)*p)*(p\/p**(2\/5))\/p**(-2\/51) assuming p is positive.\nAnswer: p**(2033\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-5))\/1 + 5\/25. Let f(j) = 62*j + 2. List the prime factors of f(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:56 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224279115.\nAnswer: 3, 5, 14951941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2645, -8828, -19137, -33572, -52133, -74820, -101633?\n\"Answer: -2063*l**2 + 6*l - 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 3*j**2 + (0 + 0 + 2)*(31*j**2 - 15*j**2 + 29*j**2).\nAnswer: 87*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 21*i**2 - 20*i - 9. What are the prime factors of v(22)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 85350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y**2 + 5*y + 5. Let r(j) = 17*j**2 - 8*j - 8. Let i(n) = -8*c(n) - 5*r(n). Let q(u) = -4*u**2 + 5*u**2 - 5*u**2. Give q(i(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2640437 and 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27193 and 63402586?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 3 (c) -14\/27 (d) -8\/19 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19029\/5 - 3837. Let y = -31 - l. Put 1\/3, 0.5, y in decreasing order.\nAnswer: 0.5, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4330718058 to the power of 1\/2, to the nearest integer?\nAnswer: 65808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3 + 12, -4*d + w = -13. Suppose p - 43 - d = 0. What is the highest common factor of 315 and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9713 is divided by 4836.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 4*s**2 + 7*s + 5. Suppose -3*l = -l + 12. Let k = l + 1. Calculate w(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28424, 56898, 85372, 113846, 142320, 170794?\n\"Answer: 28474*g - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5803651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2 - 4*n - 5*n + 4*n + n**2 + 4*n**3 - 3*n**3. Let q be h(2). Suppose 217*a**3 - 25*a**3 + 64 + 36*a**q + 352*a**2 + 314*a - 58*a = 0. What is a?\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191100\/286 - 26 - (-4)\/(-22) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 3:00 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, -2, 15, 54, 121, 222?\n\"Answer: c**3 + 2*c**2 - 12*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j**5 + 63*j**3 - 487*j?\nAnswer: -160*j**3 + 378*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, 100665, -38 in descending order.\nAnswer: 100665, -5\/6, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*w - 4 = 0, 5*w - 1 = -2*x + 13. Suppose 3*f - 21 = -63. What are the prime factors of f\/(-2) - (0 - x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -219 + 247. Suppose l*c = 11*c + 68. Solve -3*k + 3 - c = 4*y, -5*k + 3*y = -37 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 6*a**2 + 2*a - 7. Let x be h(6). Let b(p) = p**3 + p**2 - 3*p - 2. Let z be b(-2). Solve x*q + 11 + 9 = z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*b - 51, -14*b = -15*c + 10*c + 3. Factor 6\/13*u**2 + 10\/13*u**b - 4\/13*u + 0.\nAnswer: 2*u*(u + 1)*(5*u - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1076)\/10)\/(-3 - 42\/(-15)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13095*6.51\nAnswer: 85248.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7 = -3. Let t be 8\/48 - (50\/12 + -1). Let m = t + 26. Calculate the remainder when m is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*c**3 + 2\/11*c**5 + 0*c**2 + 4\/11*c**4 + 0 + 0*c = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*((-2)\/(-6))\/(-1). Let d(c) = -2 - 3 - 2 + 3 - c. Let a be d(-2). Which is bigger: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x + 49 = -2*v - 0*v + 74, -11 = 5*x + 9*v - 3*v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 33*p**2 - 2262*p - 10740. What is l(73)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3442728268?\nAnswer: 2, 7, 67, 97, 18919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 - 392*m**3 + 11940*m**2 - 93728*m - 592064.\nAnswer: 4*(m - 44)*(m - 29)**2*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*p**6 - 2*p**2 - 106*p wrt p.\nAnswer: 5160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3))**(-33))**45\/(b*b**2*b**(3\/5)*(b**(-4)\/b)\/(b\/b**(4\/3))) assuming b is positive.\nAnswer: b**(-7409\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 297 = 0. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 504 - 543. Does 25 divide (-20)\/(-6)*(o\/(-6) - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -966 + 970. Let k(o) be the second derivative of -1\/6*o**3 + 0 - 2*o**2 + 1\/12*o**n - 8*o. Give k(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-20)*(-1)\/((-1)\/34). Is w < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 670?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**6\/120 + t**5\/20 - 5*t**4\/24 - t**3\/6 + 3*t**2. Calculate j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 + 40*m**4 - 55*m**3 - 40*m**2 + 60*m = 0. What is m?\nAnswer: -1, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 171.777 to zero decimal places.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 232, 269, 306?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2041 + 2050. Suppose 7812 = -0*b + 4*b. Suppose 0 = c*p + 342 - b. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 41. Is 26 a factor of (-4543)\/(-35) - (-2)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 2673 = 19*m. Let i = m - 292. What is the highest common factor of i and 220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(572) + -1*sqrt(572)*3)\/((3*sqrt(132))\/(-4*2*sqrt(3))).\nAnswer: -56*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 21124747 + 18*h - 21124747. Let d(q) = -592*q. Give c(d(s)).\nAnswer: -10656*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 15*v + 5. Let n(u) = 3*u**2 + 45*u + 14. Let g(t) = -6*n(t) + 17*q(t). What is the units digit of g(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-64)\/244)\/4)\/((-104)\/(-4)). Is z > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 351\/(-51) + 2 - 2\/17. Which is the nearest to 0.1? (a) -6 (b) m (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6747851 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 78. Suppose -u = -w + 1. Solve w*x - 2*x + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - p + 1. Let o be (-55)\/(-15) - (-4)\/12. Let w(s) = -2*s**3 - o*s + 0 + 4*s**2 - 2 + 0 + 3. Let n(j) = u(j) - w(j). Give n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2072.298 years?\nAnswer: 207.2298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37438037 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 14100. Round f to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/5, 0.4, 1089, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 7:47 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 50.7. Let a = f - -9.1. Let q = -0.1 - -0.3. What is the third smallest value in -2\/7, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*z**2 + 0*z**3 + z**3 - 7*z**3 - z**2 wrt z?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((23 + -24)*(1 + -2))\/((-2)\/44)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -0.1, 19, 3\/5, 5, -7, -2\/755?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**3 + 21*l**2 + 200*l - 25. Determine v(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5532 + 5651. Solve -s + 92 = -9*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -763, -770, -789, -826, -887?\n\"Answer: -x**3 - 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2376488.\nAnswer: 2, 297061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b**3 - 8*b**2 + b. Let x(m) = m**3 - m**2. Let u be (96\/(-20))\/(2\/(-10)). Let a(l) = u*x(l) - 3*r(l). Find the second derivative of a(f) wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 20 = 4. Is (-1017)\/(-4) + 4\/c a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, 302, 4, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/5)*j*j**(-2))**(-30))**(-34\/7) assuming j is positive.\nAnswer: j**(-408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3547\/114 - -417\/19. Let c = 9 + m. What is the common denominator of c and -75\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 5*d - 20 = 0. Suppose d*m + 5 = 29. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 1:16 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25812 (base 9) to base 2\nAnswer: 100010000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -79591*s**2 - 6*s + 1. Let d be (-12 - 0)*3\/(-9). Suppose -24 - d = -4*x. Let q be b(x). Round q to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + o = 5. Which is the second biggest value? (a) -5 (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(363) + -1)**2 + 5*(-1 + sqrt(363)) + (4 + 1*sqrt(363) - sqrt(363) - (-1*(2 + sqrt(363)))**2).\nAnswer: 55*sqrt(3) + 1085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 882 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6190815 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 320, 429, 594, 833?\nAnswer: 1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22464 + 22599.93. Let f = c - 135. Let y = 0.07 + f. What is the smallest value in y, 0.5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -835.\nAnswer: 417.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 less than or equal to 229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -301 + 86. Let d = 435 + o. Suppose 0 = -3*s - 9, -17*b + 16*b - 5*s + 5 = 0. Calculate the greatest common factor of b and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(133)*3 - sqrt(133)) - sqrt(133))\/(sqrt(7)*-3*5) + (-1*sqrt(114)*-1)\/(sqrt(18)\/(sqrt(12)\/sqrt(4)))*-4)**2.\nAnswer: 70699\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/5 less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/10)\/((-2)\/4). Let h(a) = a**3 + 2*a**2 - 5*a - 4. Let u be h(c). Let o = 35 + u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (58\/29)\/(2\/(-9)) + 11168.\nAnswer: 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1038*f + 444 - 214 - 230.\nAnswer: 1038*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*d**2 + 41*b**2*d + 3*b**2 + 1654183*d**3 + 14433*d wrt d?\nAnswer: 2*b**2 + 9925098*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 16*q**3 - 9*q**3 - 5*q - 8*q**3 + 5. Let c(x) = -2*x**3 - 6*x + 6. Calculate -6*a(h) + 5*c(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + -19 + 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25115164939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 16 + 14114*c - 14120*c - 10 in the form p + x*c and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 - 11*a - 133. Determine o(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29\/11? (a) 2316 (b) -1 (c) -0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1191, -4544, -10117, -17904, -27899, -40096, -54489?\nAnswer: -71072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 206.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ttatatttateeattt.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 9:17 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1 + (-1 + 3 + 2)*(5 - 5 - 2))*(35*m + 0*m - 20*m)*(2 - 4 + 1) as i*m + k and give i.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 (base 10) in base 12?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -340, -425, -210, 455, 1720, 3735, 6650?\n\"Answer: 25*n**3 - 260*n - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w + 22 - 22 - 16*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from osririiinnox?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1269 + -1264. Suppose -w + h = -3*n, 5*w - 43 = n - 18. Let -4\/3*o**3 + n + 0*o - 2\/3*o**2 - 2\/3*o**4 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h + 8. Suppose 4*c - 23 = -b, -h*c - 10 = 5*b - 7*c. Solve 0 = -b*q + 5 + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let t(s) = -7 + 2 + 3 - 4*s - 1. Let c(o) = -o - 1. Calculate m*t(h) - 3*c(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11440512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 89. Determine k, given that 0 + 0*k**2 + 1\/4*k**4 + 1\/4*k**3 + q*k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2000*n. Let i be z(-15). Round i to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 0 - 144 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 130359603*b - 53767627 with respect to b.\nAnswer: 130359603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 13*x + 3. Let l be (-34)\/(-12) - 2\/(-12). Let m be h(l). Let o = -20 + m. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5612 is divided by 4525?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjahbjahwwfah. Give prob of picking 1 j and 1 h.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = j - 117. Let q = j + -61. Calculate the greatest common divisor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -5) + 26\/(-10). What is the smallest value in 2\/7, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7224820501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1505192 and 256168.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10784*j**2*w**2 + 61093500*j**2 - 30*w**3 wrt w?\nAnswer: -21568*j**2*w - 90*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*t + 7*t + 64*t + 57*t + 59*t - 294*t + 57*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*b = 297*b - 764. Solve b*r - 3*a - 94 + 92 = 0, 0 = a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120479 (base 14) to base 16.\nAnswer: 9647b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 4*k + 3*k)*(5 - 3 + 0)*(-2 + k**2 + 2) + (7*k - k - 3*k - 1)*(-13*k**2 + 5*k**2 + 2*k**2) as j*k**2 + z*k**3 + u + s*k and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {l: 3, s: 1, d: 5, v: 1, b: 1}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/40 and 71\/35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.22 - -0.2199896. Round v to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b + 20 = 0. Calculate the remainder when (-156)\/(-11) - 8\/44 is divided by 5\/1*(b + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 4*k**2 + k - 2. Let s(l) = -l**2 - 4*l. Let y be s(-2). Let p be c(y). Find the third derivative of -p*j**3 - 507 + 507 - 6*j**2 wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -80. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*w + 250*w = -142*w + 5985 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, k: 2}. Give prob of sequence gkk.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 19. Let g be f(11). Suppose -3*x - 9 = g*b, 3*b + 19 = -3*x - 2*x. Solve 5*j - 4*j = b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183578 and 24643?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24608*-0.1272\nAnswer: -3130.1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5 - 85 + 3*z**5 - 739*z**3 + 0*z**5 - 175*z + 909*z**3 - 10*z**2 + 95*z**4 = 0. What is z?\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.44525 + 0.04525. Which is the nearest to 0? (a) -3\/2 (b) -5 (c) -1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y - 17. Let c be h(-3). Let j be c\/4*((-4 - 0) + -200). Let q = 97 - j. Put 5, q, 8 in decreasing order.\nAnswer: 8, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*23\/483*21)\/(4 + 325\/(-81))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 + 9*m**2 + 18*m - 25. Let t(p) = 14*p**2 + 2 + 14*p**2 - 51*p**2 + 20*p**2. Let r be t(-3). Let n be u(r). Round n to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - j**3 - j**4 + (2*j - 2*j - 4*j)*(-3*j**3 + 2*j**3 + 3*j**3) - j**2 - 2*j**3 + 2*j**3 - j**4.\nAnswer: -10*j**4 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {a: 8, x: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.123*1140835.\nAnswer: -140322.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13194 - -13193.999989382. Round y to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 501118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/2, -3.8, -3 in descending order.\nAnswer: 3\/2, 1, -3, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 11 - t - 3*t.\nAnswer: -4*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/11)\/((y*y**(-5\/3)*y)\/y*y*y)*y**4\/y**6 assuming y is positive.\nAnswer: y**(-116\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-120)\/(-36) + (-4)\/(-6). Suppose 0 = 4*v + 3*g - 25, -3*v + 4*v - y*g = -8. Solve -10 - 2 = q + v*k, 0 = 4*q - 3*k + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/((f\/((f*f*f**(-29))\/f))\/f)*f)\/f)\/(f*f**(-2\/23)\/f*f)*(((f\/((((f**(5\/4)*f)\/f)\/f)\/f))\/f*f)\/f)**(-24))**(-39) assuming f is positive.\nAnswer: f**(40287\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 2*l - 2. Let w(o) = 3*o**2 - 46*o + 13. Let i be w(15). Give m(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1424*m**4 + 2*m**3 - 18*m**2 - m - 2 wrt m.\nAnswer: -34176*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2618 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**3 - 11*q**2 - 7*q + 7. Let j(n) = 2*n**3 - 5*n**2 - 3*n + 3. Let p(o) = 17*o - 14. Let r be p(5). Let s = r + -74. Calculate s*d(v) + 7*j(v).\nAnswer: 2*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-162))\/((-20)\/120).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 47695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 229663361*b**4 - 1303*b**2 - 86927*b wrt b?\nAnswer: 5511920664*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.1 + -8.1. What is the closest to 2\/9 in i, -0.5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -983506\/17 + 57854. Determine u so that 10\/17*u**4 - 6\/17 - 14\/17*u - 4\/17*u**2 + 2\/17*u**5 + k*u**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + 201401443222?\nAnswer: 201401443302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75994 - 14?\nAnswer: -14.75994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.911 + 0.89. Let a = -0.979 + b. Put 2\/7, -4, a, -2\/3 in ascending order.\nAnswer: -4, a, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97056*b**5 + 2*b**4 - 21*b**3 - 2632681*b**2 wrt b.\nAnswer: 5823360*b**2 + 48*b - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 10 - -10) + -4 + (-19 - -17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7835 - 0.9835. What is the closest to s in 0.6, -2, 3, -37?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from mmmmmppmmmmmm?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73112 is divided by 36550.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 4*i**2 - 4*i + 2. Let k be u(2). Suppose 9 - 5 = k*c. Solve -5*z + 35 = -c*r + 5*r, 0 = -2*r - 5*z + 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -5, 7, -57 in ascending order.\nAnswer: -57, -5, -3, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*(-1 + sqrt(1053))**2 + (-1*(sqrt(13) - 6*sqrt(13)) - (sqrt(13) + ((3*sqrt(104))\/sqrt(8))**2)).\nAnswer: -9603 + 166*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47174008 divided by -4.\nAnswer: -11793502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73415*y**3 + 73415*y**3 - 146801*y**3.\nAnswer: 29*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*m - 12341 = 33*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 + 24*p**2 - 43*p + 19. Determine l(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (-2 - 0) - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 73326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:22 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/4*374\/(-561).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -260\/23?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*w - 104*w + 29*w - 2584 = 0 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**3 + 3*b - 3. Let w be t(1). Is (w - (-1143)\/2)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 1362828*j**3\/5 + 2022*j**2\/5 + j\/5 + 3412. Find r, given that m(r) = 0.\nAnswer: -1\/2022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -3)*1*3. Find the second derivative of -u*b**3 - 19 - 8*b + 9 + 10 wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5\/4 - 645*q**4\/2 + 2571*q**3\/4 - 321*q**2.\nAnswer: 3*q**2*(q - 428)*(q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14954045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r - 96. Let h be -3 - (62\/(-2) + 0). Let w = h + r. Let t(s) = -4*s + 2. Calculate t(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*r = r - 4, 8 = -4*h - 4*r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 1. Let u = 50 + -65. Let b = u - -8. Determine o(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-2))\/(-3)*(-100)\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b. Let u(x) = 2*x**2 + 4*x + 2. Let a(d) = -6*d**2 - 13*d - 5. Let h(g) = -3*a(g) - 8*u(g). Give h(l) - 6*i(l).\nAnswer: 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26 - (18 - 22)) + 49 - 13) + 55?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3) - 0)\/((-99)\/(-1782)). Let s(b) = b**3 + 3*b**2. Let l(u) = 13*u**2 + 0 + 16*u**3 - 12*u**3 + 0. Give i*l(t) - 26*s(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4329 + 1524. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1991 + 2868. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z + 0*z**3 + 3*z - 6*z**2 + 7 + z**3. Let n be t(6). What is the units digit of 8 - (0 + (2 - n))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o - 7*o - 84 = 0. List the prime factors of -5 + 151 - (-5 + o).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(((-1)\/(-2))\/(10*1\/(-20)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - (16 - -1))*(-576)\/80?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 36. What is the second biggest value in 2, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -199828.\nAnswer: -99914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/(-40))\/(6\/15). What is the third derivative of 23*t**3 - 4*t**2 - 3*t**2 + s*t**2 - 8*t**3 wrt t?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -5\/3 (c) 0.3 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 415937 times -19?\nAnswer: -7902803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1) + 1659\/(-9)*-3. Let x = z - 1593. Round x to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/3335 and 37\/7337.\nAnswer: 36685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/3360 and 75\/27664.\nAnswer: 829920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 8. Let q be r(-10). Let j(m) be the first derivative of -8*m**2 + 5*m**2 + 2 + 2*m**q. Let w(z) = -4*z**2. What is j(w(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 526\/(-18) - (-18)\/81. Let w = p - -11. Let s be (1\/(-7))\/(w + 17). Which is the biggest value? (a) 0.1 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 19*f**2. Let a(k) = -4336*k**2 + 1138. Give a(o(m)).\nAnswer: -1565296*m**4 + 1138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:50 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**25)**(-2\/37)\/((o*o\/o**11*o*o)\/o*o\/((o**(-3)\/o)\/o)))**(-22) assuming o is positive.\nAnswer: o**(-528\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = -39. Let z(y) = -y**3 - 10*y**2 - 15*y + 5. Let u be z(-8). Let b be (-23)\/(-2)*2 - u. What is the greatest common divisor of a and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*j - 8, l - 3*j + 2 - 4 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 + 2073. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than 73\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 14 = 3*r - 4, -3*z - 3*r = -6. Suppose 0 = -3*k + z*k. Suppose -4*y + l + 752 = k, 2*y + 728 = 6*y + 5*l. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 125175, 500480, 1125995, 2001726, 3127679, 4503860, 6130275?\n\"Answer: k**3 + 125099*k**2 + k + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 444*p**2 + 5148*p - 15548. Give b(-432).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4360, -17347, -38972, -69235, -108136, -155675?\n\"Answer: -4319*w**2 - 30*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5*g + 21, 12*z - g + 102 = -89 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322 and 4485?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 u, and 1 x when three letters picked without replacement from {m: 2, k: 1, j: 1, u: 1, h: 1, x: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from pipsppssvsysvzpi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.006 + 0.628. Let m = 0.078 + x. What is m rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4116571 from -11.\nAnswer: -4116582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -15*m**4\/4 - 6*m - 2373. Suppose -24 = -n - 3*n. Let h(o) = -29*o**3 - 11. What is n*h(w) - 11*c(w)?\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 93, -2, 2\/15, 4, -0.1, 0.36?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -18*m - 8. Calculate the least common multiple of 32 and h(-1).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270110223.\nAnswer: 3, 31, 968137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/(-40)*-5*2\/(-9). Suppose 2*h + 2 = 0, -3*b + 0*h - r*h = -3076. Is b a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130\/11163523 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8643 + 16798. List the prime factors of a.\nAnswer: 5, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110101110001110011 + -1?\nAnswer: -11110101110001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 9:39 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2813.99 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12775 bigger than 12775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 360225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 112?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = 20. Calculate the remainder when 47 is divided by (276\/o)\/(-3) - -1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -16*q**2. Let t(n) = -3*n + 3*n + 2*n. What is t(h(y))?\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 935*d - 934*d + 4*a = -1, -a + 2 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*((v\/(v\/((v**(2\/37)\/v)\/v))*v)\/v)\/v))*(v**(-4)\/v)\/v*v**(-12)*v**(-17) assuming v is positive.\nAnswer: v**(-1367\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341446 (base 8) in base 10?\nAnswer: 377638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9537?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 - ((2 - 3) + -2). Let f(i) = -11*i - 5. Let q(r) = -7*r - 3. Determine y*f(p) + 8*q(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from attateaet. What is prob of picking 1 e and 2 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, 8, 43, 98, 173, 268?\n\"Answer: 10*y**2 - 15*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -41, -25, 1, 43, 107, 199, 325?\n\"Answer: k**3 - k**2 + 12*k - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 281 + -166. Put 3, 4, w in increasing order.\nAnswer: 3, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 49*v + 8. Let p(z) = -244*z - 45. What is -2*p(m) - 11*r(m)?\nAnswer: -51*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 7430.9\nAnswer: 59447.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*x*x**(-9))*x\/((x\/x**(-1))\/x*x))\/(x*(x\/x**4)\/x*x*x*(x**7*x)\/x))**(3\/7))**(-40\/9) assuming x is positive.\nAnswer: x**(-80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 t when four letters picked without replacement from {i: 10, t: 2}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 18*o - 261. Let y be r(15). Let a(u) = 89*u**2. Let i(t) = 22*t**2. Give y*i(m) - 2*a(m).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 1187 + 561 = -18*b - 210, -b = -6*d - 55 + 170 for b.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -6. Let r be (-63)\/12 - 2\/(-8). Let l be (-2)\/(r - (-2 + 2)). Which is the nearest to x? (a) -5 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115077 is divided by 689.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b - 4. Let h be o(-6). Let u = h + 26. What is the remainder when 38 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 800\/(-240)*((-3)\/2)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -29, -54, -81, -110, -141, -174?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2 = -2*h, -3*h + x - 231 = 217 - 462 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1102 and 44022.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 1. Let i(x) be the third derivative of 21*x**4\/8 + 12*x**3 - 277*x**2 - 2*x. What is 3*i(o) + 216*v(o)?\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -6643, -21, 1, -2\/3, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -1313851?\nAnswer: -131385.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f = -45. Calculate the remainder when 14 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/57823626 and -19\/33042072.\nAnswer: 231294504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 160e (base 16) in base 11?\nAnswer: 4273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s - 3*s - 3*s**2 + 0 + 2 + 0*s to c + l*s + g*s**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 33019*d**3 - 21 - 12666*d**3.\nAnswer: 20353*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -9*s**7\/28 + 3*s**6\/2 - 111*s**5\/40 + 5*s**4\/2 - s**3 - 4*s - 3. Let d(g) be the first derivative of r(g). Factor d(w).\nAnswer: -3*w*(w - 1)**2*(3*w - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Suppose -p = 2*s - 74, -2*s + t*p = 4*p - 86. Suppose -3*j - s = -4*c, -15 + 4 = -c + 3*j. Solve -3*g = -7 - c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/433 + -9939\/2165. What is the smallest value in -3, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 6.56. Let o = 0.14 - k. What is the third biggest value in 1, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*o + 2, -2*v - 3*o + 1 = -2. Solve -v*i - 2*h = -8, 2*h = -5*i - 3*h + 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -561583 = -265*o + 4007955 - 750888. What is o rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1203*a = 986*a + 18011 for a.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - -20 - (-2 + 0 + 2 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p**3 + 1 + 83\/4*p**2 + 8*p + 21\/4*p**4 = 0. What is p?\nAnswer: -2, -1, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 8*k + 23. Let g be p(11). Let u(w) = -w**3 - 11*w**2 - 9*w + 12. What is u(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -40. Suppose -j + 5*d + 84 = r, 0*j + d = -j + 54. Suppose 4*y - 301 = j. List 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 v = -16063 - -26365. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 v when three letters picked without replacement from {f: 3, q: 2, v: 4, z: 4, h: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from uiieeoi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.5 + -12.1. What is the biggest value in 1, 1\/6, b, -9, -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 19. Let p be (-63)\/(-70)*n\/(-2). Is p <= -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541662986.\nAnswer: 2, 29, 223, 41879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2820898)\/4)\/(235\/(-470)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46.8 or -6592?\nAnswer: 46.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 0.3. Let h = -7 - -6. Let i = 0.099 - -0.101. Which is the closest to h? (a) v (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v + 20 = 31*v. Let o(q) = q**3 - 6*q**2 - q + 8. Let l be o(6). Solve v*s + 9 = -3*w, -2 = -l*w - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -1.7662.\nAnswer: -0.8831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 33 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l - 4*l)*(-l**3 + 3*l**3 - 4*l**3) + 9 - 22 + 10 + 2*l**4.\nAnswer: 4*l**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from ffoooaobggfpoga?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 344420887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 - -430113140?\nAnswer: 430113332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87586268.\nAnswer: 2, 7, 11, 199, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.1 rounded to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k - 6. Let z(m) = m**3 - 7*m**2 - 5. Let c be z(7). Let n = c + 9. Suppose 4*p - 2*p = -l - n, -2*l = -p + 8. Determine v(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1010, 135, -2.2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13171 is divided by 10393?\nAnswer: 2778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.042 times 183.1\nAnswer: -7.6902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2184 is divided by 1209.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22678 + -90146. Let l = t - -42468. What is l rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*l + 69. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 + 1847625*v**2 - 1847610*v - 3695240 = 0 for v.\nAnswer: -1, 2, 369524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -70*r + 490. Determine b(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 6 + 4)*(-3 + 1 + 4) - 13 + 19 + 11 + 5 + 9 + 166)*(3*i - 2*i + 0*i) in the form h + s*i and give s.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146710 and 13770?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*j**3 + 4 - 7789*j + 2*j**4 + 23386*j - 7794*j - 7778*j to the form w*j**3 + s*j + x*j**4 + u + p*j**2 and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 60*j**2 - 9*j - 5. Let f(m) = 92*m**2 - 14*m - 8. What is -5*f(w) + 8*v(w)?\nAnswer: 20*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6*s + z + 123, -3*s + 99 = -3*z. Solve -12*p + s = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85118790.\nAnswer: 2, 3, 5, 61, 193, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2232*v - 7 - 7 + 14.\nAnswer: -2232*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(156) + 1*sqrt(156) - sqrt(156)) + sqrt(156)*3*-2)\/((sqrt(972) + sqrt(972)*-1 + sqrt(120)\/(sqrt(20)\/sqrt(2)))*3).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 24 = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (((-768)\/28)\/4 + (-66)\/(-77))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-12) + 5\/20. Let m(p) = 35*p**2 + 2*p + 1. Calculate m(i).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 11*d**2 + d - 8. Let i be z(11). Let t = -25 + 31. What is the third derivative of 0*w**3 + w**2 - t*w**3 - 4*w**2 + w**i wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 14*u**3 - 2*u**2 + 14*u. Let s(k) = -532*k**3 + 77*k**2 - 532*k. What is 2*s(c) + 77*v(c)?\nAnswer: 14*c**3 + 14*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**2 + 164*y + 62. Let o be g(-23). Let c(k) = k**3 + 6*k**2 + 2*k + 8. Let n be c(-6). Sort o, 0, n in descending order.\nAnswer: 0, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 0.072.\nAnswer: 2.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8878)\/193 + (5\/(-15))\/(2\/(-36)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t. Let g(r) = -r. Let a(z) = g(z) + p(z). What is the units digit of a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -706*b**5*k**2 - b**5 + 84*b*k**2 + 5*k**2 wrt b?\nAnswer: -14120*b**3*k**2 - 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-12)*4)\/(131150\/(-31476)).\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 15*d - 85. Suppose 3*f = d*f - 52. Solve f = 5*q + 4*k, -q - 10 = 2*q - 4*k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64437830 divided by 625610\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12014 is divided by 934.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 + 28*h**2 - 10*h - 16. Let u be l(-14). Is 9 a factor of (2 + -1)*(u - (-7 + 5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-25)\/(-24) + -1). Suppose 2*y - j = -3*v + 4*v, -5*v = -10. What is the remainder when y is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35166 is divided by 206?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 972530*o = -k + 972531*o + 2, -4*k + 5*o + 7 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60380813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2943, 2772, 2485, 2082, 1563, 928?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 3*a**2 + 25. Let w(i) = -2*i**3 - 3*i**2 + i + 35. Let r(v) = 4*p(v) - 3*w(v). Let g(l) = -l**3 + l**2 + 1. Calculate -3*g(j) - r(j).\nAnswer: j**3 + 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258498 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.92995l to millilitres.\nAnswer: 80929.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3559b (base 12) to base 11\nAnswer: -49950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -2)\/(2\/(-3)). Let d(y) be the first derivative of 4*y + 2. Let l(q) be the third derivative of q**5\/60 + 5*q**3\/6 - 7*q**2. Give w*d(x) - 2*l(x).\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 80*c**2 - 2*c - 1. Let g(l) = l**3 - 41*l**2 - l. Give 7*g(y) - 3*v(y).\nAnswer: 4*y**3 - 47*y**2 - y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 8*q + 7. Let o(h) = -h**2 - 7*h + 7. Let r(t) = 5*g(t) - 6*o(t). Let p be (-4 + (2 - -1))*5. What is the units digit of r(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5118 divided by 9.\nAnswer: 1706\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 222243 (base 5) to base 2\nAnswer: 1111010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -60002, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71? (a) -1 (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 2623*q + 2642*q + 91, 0 = -5*y - 4*q - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.078 - 0.07. Let c = 0.088 + s. What is the biggest value in 0, -1, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l + 3. Let h = -8 - -4. Let b be r(h). Suppose 6*f - 2*f - b = -z, 0 = 4*z - 12. Calculate the greatest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/352 + 11789\/352. Find the common denominator of (206\/168)\/(2\/(-3)) and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -443232075*v**2\/2 + 291720*v - 96.\nAnswer: -3*(12155*v - 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((-1 - -7) + -39 + 27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 851\/(-23)*(1 + (-2)\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**9\/3780 - b**8\/1400 - b**7\/2100 + b**3\/6 - 5*b. Let x(w) be the second derivative of m(w). What is c in x(c) = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00122312006 rounded to six decimal places?\nAnswer: 0.001223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194*-0.004277.\nAnswer: 0.829738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 174 = 804. Let x = 392 + m. Suppose x = z + 243. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18a4a6 + -16?\nAnswer: 18a490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) -8 (c) 0 (d) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*d**3 + 5*d**3 + 224*d**2 + d**3 - 61*d**3 - 224*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3055 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/4, -0.12, 0.4, -0.1, -3.\nAnswer: -3, -0.12, -0.1, 0.4, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -91 = -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(10)\/((sqrt(2) - sqrt(128))*-3))**2.\nAnswer: 5\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - (-4 + -6 + 12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 377 and 1355634?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.92 - -27.18. Let h = 33 - c. Let z = 3.1013 + h. Round z to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, o: 3, f: 1, d: 2}. What is prob of picking 2 d?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + 5*(2*(sqrt(363) - (sqrt(363)*1 + 1 - sqrt(363) - sqrt(363)))**2 - (2*(1*2*sqrt(363) - sqrt(363)))**2)).\nAnswer: -880*sqrt(3) + 14540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.97 * -0.1.\nAnswer: -0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7705 smaller than -7756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 23. Suppose -z*f = -2*l - 0*f + 90, -3*f + 80 = 2*l. Suppose 5*a = o - l, 1 = -5*a - 4. Calculate the remainder when o is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 37*r - q - 1978 = 0, -4*r - 5*q = -3984. Which is smaller: 993 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*(-2*o - 2*o - 4*o)*(-2*o**2 + 4*o**2 + 0*o**2) to the form b*o**2 + p + m*o + c*o**3 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*m**2 - 8 + 8 + (2*m - m + m)*(-2*m + 0*m + 4*m) + 4*m**2 - m**2 - 4*m**2)*(0 - 3 + 1) + m**2 - m + m + (-8*m**2 - 9*m**2 + 43*m**2)*(0 + 5 - 6).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 - 3*o**4 - 3*o**4 + (o + 0 + 0)*(4*o**2 + o**3 - 4*o**2) + 0*o**4 + 0*o**4 - 2*o**4.\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 24 = b, -3*b - 32*w = -31*w + 20 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.496 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 - (4 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**4\/3 - 1852*m**3 - 16756*m**2 - 83980*m\/3 + 46600 = 0. Calculate m.\nAnswer: -5, 1, 1398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2761019 minutes in microseconds?\nAnswer: 16566114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31763497 to the nearest integer?\nAnswer: 5636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 178. Let y(c) = 4*c - 8. Determine y(l(o)).\nAnswer: -4*o**2 + 704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*v**3*w + 11*a**2*v + 60*a**2*w + 6*a*v**3 - a*v - 4*a*w - 3*v**2*w wrt a?\nAnswer: -2*v**3*w + 22*v + 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32.025 and 35.\nAnswer: 67.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + 1544*p**3 + 652509*p**2 + 83798550*p.\nAnswer: p*(p + 297)**2*(p + 950)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -43. Let c = 40 - k. Let a = c - 3.0067. Round a to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115482 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/5 - 36*c**2 - 10368*c\/5 - 193536\/5 = 0.\nAnswer: -84, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 7*c + 2. Let t be y(6). Calculate the greatest common divisor of t and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 = 5*d, 16 = 3*d + u + 4*u. Suppose k - y = -1, 0 + d = -k + 2*y. Suppose k*i = -i + 5. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, 13, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/(-16) + 21\/56. Suppose -5*b - z*a = -89, 34 = 4*b - 4*a - 26. Calculate the highest common factor of b and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454311675*u - 227155838*u - 227155837*u + u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/8*(-5 - -11). Let 0*x**2 + 0*x + 2*x**5 - 2\/3*x**j + 0 + 4\/3*x**4 = 0. Calculate x.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3973*z**2 - 14094*z**2 - 7251*z**2 - 11174*z**2.\nAnswer: -36492*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 44*q**2 + 6 + 2 - 15.\nAnswer: -44*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 38\/37 (c) -24.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 72784, 145573, 218362, 291151, 363940?\n\"Answer: 72789*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32001 is divided by 58.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxxgzhzxhxiggexxi. What is prob of sequence eig?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5488 - -5576. Suppose -5*p - 3*q + 15 = 0, 0*q + 15 = 2*p + 3*q. Suppose -b + 2*b - 220 = p. Calculate the highest common factor of d and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, 5, -53, 8 in decreasing order.\nAnswer: 10, 8, 5, 3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/11, -32, 0.593?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/2 + 3\/((-9)\/(-163560)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 8 = 2*k. Let t be 3 - 18\/k - (-3)\/5. Solve t = -3*v + 2*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 16}. Give prob of sequence aa.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 281044571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -10, -13\/34, -1, 3, 1.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 309*b**2*g + 139*b**2 - 5*b*g + 3*b + 14603429*g wrt b.\nAnswer: 618*b*g + 278*b - 5*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/2 of a meter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/21 and 10\/49.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3130.1 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 2*o**4 + 289*o**2 + 12*o. Let i(a) = a**2 + 146*a. Give s(i(v)).\nAnswer: 48*v**2 + 7008*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 832 + 1322?\nAnswer: 2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -16*f**3 + 4*f**2 + 126*f - 218. Let c(q) = -q**4 - 65*q**3 + 15*q**2 + 504*q - 873. Let y(d) = -4*c(d) + 18*s(d). Let y(u) = 0. Calculate u.\nAnswer: -3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(66)*3 - (sqrt(66) + -2*(sqrt(66) + (sqrt(66) - (-2*sqrt(66) + sqrt(66))))))\/((-2*sqrt(66) + sqrt(66))\/sqrt(11) + sqrt(6) + sqrt(96)*2).\nAnswer: 11*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*x**3 + 2*x + 0*x + 3*x.\nAnswer: 90*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3 - 28 = -2*k - 9*k, -4*k + 2 = -5*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -95*17\/1190 + (-4)\/((-8)\/3). Which is the nearest to 1\/3? (a) -0.5 (b) -0.03 (c) z (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716 (base 13) in base 2?\nAnswer: 1010111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2482, -0.2, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -48. Let q be (-4300)\/120 + 2\/u. Let m be (q\/14)\/(1\/(-7)). Solve -j = -3*k + m, -4*j - 3 = 2*k - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39243 is divided by 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - d - 24 = -0*d, 0 = -5*g - 5*d + 20. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14\/5 (b) -33 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 0. Let q = 56653\/35 + -8019\/5. Let d = -15 + q. Sort 4, z, d in ascending order.\nAnswer: z, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12535951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 19119*n**4 + 458976*n**3 + 2239803*n**2 - 6448182*n - 40560 = 0.\nAnswer: -13, -40\/6373, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -2\/3, 4.59, -0.02, 1\/21?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/((-135)\/500)*(6 + -9). Let y be (-10)\/8*160\/h. Factor p**y - p - 1\/2*p**4 - 1\/4*p**5 + 0 + 3\/4*p**3.\nAnswer: -p*(p - 1)**2*(p + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.0291.\nAnswer: -0.0873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**1)*h))**(-7\/4)*((h**11*h)\/h)\/h*(h\/h**(-14))\/h assuming h is positive.\nAnswer: h**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzz when three letters picked without replacement from bzbzzrzbrrb?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715834 is divided by 214473.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 9:50 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28773*t - 28771*t - 14900 = 0. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 7*f**2 - 6*f - 1. Let p be b(-6). Let h = p + 7. Is 19 a factor of h\/(-12) - 298\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((44\/(-14))\/(-2)*34\/(-17)).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 94*j + 70*j + 615*j + (-2*j - 1 + 1)*(3 - 6 + 4).\nAnswer: 777*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -0.1, -4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + 3*c**4 - 2*c**4)*(3 - 3 - 2) + (1 - 1 - c)*(20*c**3 + 25*c**3 - 71*c**3).\nAnswer: 22*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 3 - 3)*(0*u + 4*u + 2*u) + (5 - 5 + 2)*(46 - 46 - 21*u) as z*u + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10*w**2 - 7*w + 1. Let n(a) = 3*a**2 - 2*a. Give 7*n(r) - 2*x(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5991489291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l = -15, 4*l = -3*i - 101. Let j be 0 - (0 + ((-3)\/(-1) - i)). Which is bigger: -31 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1239 - -1262. Solve 4*i - 3*m + v = 0, 5 = i + 2*m + 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-19)\/57)\/(5\/(-143265)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(16\/(-12))*(-176)\/1452.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44995 divided by 133.\nAnswer: 44995\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 6:59 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 226, 9?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 42900*a**2 - 3146460*a + 6464560.\nAnswer: -5*(a - 2)*(a + 76)*(a + 8506)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 1080 = -11*c. Find the first derivative of -57 + 3 + 78*z + 92 + c + 78 wrt z.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63126 and 423846.\nAnswer: 2966922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or 30021050?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**6\/120 - u**5\/60 - u**4\/12 - u**3\/6 + u**2 - 20*u. Give h(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 77*l - 590. Give k(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 2473777368365 + 2473777368365.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6610 - 4?\nAnswer: -6614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*f = 0, -5*n + 6*n + 4*f = -5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -4, -3, -0.01, -0.4 in increasing order.\nAnswer: -4, -3, -0.4, -0.01, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 5. Let u be v(-5). Suppose -4*d + 27 = 11. Suppose -d*k = k - u. Solve i + i = -10, 4*r - 2*i = -k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**3 - 2*x**2 - 2. Suppose 2*w - 4 = 2*u - 2*w, -w = 4*u + 8. Is 23 a factor of p(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486292 and 210877?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 15878456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 660, -453, 5 in descending order.\nAnswer: 660, 5, 1, -4, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000274841056 rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/270*-6)\/(2\/6). Factor 1\/3*t**3 + 0*t + 0 - q*t**2.\nAnswer: t**2*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 2. Let t(k) = -1. Let w(r) = -r**3 - 4*r**2 - r + 1. Let g(h) = -5*t(h) - w(h). Let q be g(-4). Determine u(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 4. Let c(w) = -3*w + 11. Let p(l) = 6*c(l) - 17*h(l). Calculate p(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10545029.\nAnswer: 11, 87149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2) - 1\/(-2). Suppose i + p*i - 66 = 0. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57649.\nAnswer: 57649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -19970.\nAnswer: -1\/9985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/23 > -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 12*c - 9. Suppose 0 = 3*g - 12 + c. Suppose -4*d + d + 18 = g*p, -3*d + 46 = -4*p. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 208 = -84. Solve 5*c - 2*k = -4*k + o, 5 = -2*c + 5*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -7 - (2 + -2) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6738, -6772, -6784, -6774?\nAnswer: -6742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l + l)*(-1 + 0 + 3 + (1 + 2 - 5)*(-1 - 1 + 1))*(-2 - 2 + 5).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36877510 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -y + 5*d, y - 5*d = 6*y - 15. Let c = -7 + y. Solve -12 = 4*z - c*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30108*c**2*r**3*x + 12*c**2*r**2 + c*r**2 - 2*c*r + 6*c + r**3*x + 3*r*x - 4*x wrt r.\nAnswer: 180648*c**2*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 311284*s**2 + 1245072*s.\nAnswer: 4*s*(s - 77817)*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*u, -u - 312 = -2*l - 277. Suppose 0 = -2*f - 3*f + 400. Calculate the remainder when f is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1769 is divided by 38.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 4*t + 33*m - 31*m + 31 = 7, 15 = 3*t - m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 693*h**2 - 3*h + 3. Let n(i) = i**2. Determine v(n(w)).\nAnswer: 693*w**4 - 3*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -336 + 536. Let p = -23660.03 - -23861. Let x = d - p. Round x to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.47 at most as big as 195\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1820 (base 13) to base 11\nAnswer: -2760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4679537017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 9 = 1. Suppose -v*r = -4 - 246. Suppose -2*g = 3*g - r. Solve -2*h + 0*h = -g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -48, -1, 31, -5 in descending order.\nAnswer: 31, 5, 4, -1, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 26, -2, -1, 0.8, -1\/9, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*w = -w + 4, 0 = -4*n - 3*w - 1. Let x be (-8)\/(-2)*(n - -544). Let r = x + -4072. Round r to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167 - 21160.2691.\nAnswer: -21327.2691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 82 = 3*z, 76 = -2*z - s + 30. Let b be 12\/9*36\/z. Let n = -4 - -2. Is n greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 divided by 105.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3429, -3556, -3627, -3636, -3577, -3444, -3231, -2932?\nAnswer: -2541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 47\/(-15))*(1 - 6). Factor 1\/3 + 1\/3*a**2 - y*a.\nAnswer: (a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23230 is divided by 929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 206*a + 31758. Determine b(-154).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2004 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22885 is divided by 4577?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32504 (base 6) to base 10\nAnswer: 4504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -81*g + 76*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 10\/(-2))\/2. Calculate the remainder when ((-7)\/y)\/(7\/(-63)) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -b + 5*b. Suppose -x = -3*x + b. What is the highest common divisor of x and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-34)\/85)\/((-1)\/5). Suppose -9*a + 24 = -r - 4*a, -j*r - 16 = -2*a. Let q(b) = -b**3 - 4*b**2 - 1. Give q(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 16. Suppose 267 = o*a - 5*u, -4 + 0 = 4*u. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35*5\/((-495)\/(-33)*2\/(-12))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 15*s**2 + 555*s + 10277. Let k(m) = 7*m**2 + 279*m + 5145. Let f(r) = 3*i(r) - 7*k(r). Factor f(c).\nAnswer: -4*(c + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -321.34 (b) 0.2 (c) -3 (d) -132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1396392 not equal to -1396392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/10*(336\/(-66) - -4). Let k(c) be the first derivative of i*c**5 + 0*c + 1 + 4\/3*c**3 + 0*c**2 + 0*c**4. Find the third derivative of k(y) wrt y.\nAnswer: 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 7. Let w be (2 + (-3 - c))*1. Suppose 0 = 4*q - 0*q. Is q less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = i - 27, i - 2*i - 21 = -3*g. Let r(z) = 31*z + 96. Let u be r(-3). Solve -u*y = -g*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 359102515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/(-49)*(-7)\/(-2). Calculate the common denominator of 2\/(-12)*(i + 117) and 37\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 122, 8373, -1, -4 in descending order.\nAnswer: 8373, 122, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 132?\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 770*w**3 + 145052*w**2 - 292418*w + 146595.\nAnswer: (w - 1)**2*(w + 337)*(w + 435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110536545, 110536547, 110536549, 110536551?\nAnswer: 110536553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743 (base 8) in base 6?\nAnswer: 10551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/63)\/((-48)\/18)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 590541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/9483 + 2108\/3161. Suppose -r - l + 0*l = 8, 0 = -r + 3*l + 12. Which is the nearest to 2? (a) r (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636453243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211010222 - 110010?\nAnswer: 210200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1376090*k**4 + 7272*k**2 + k + 1.\nAnswer: 33026160*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/6, -0.05, -34\/3, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b*b*b**(-1\/4))\/b*b**(-6\/13)*b assuming b is positive.\nAnswer: b**(119\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4363784, 3 in decreasing order.\nAnswer: 4363784, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -3*j + 7*m, -4*m = j + 12 + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -6059.\nAnswer: 3029.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -387, -1073, -2065, -3363, -4967, -6877, -9093?\n\"Answer: -153*p**2 - 227*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-26)\/(-4) + -5)*(-10)\/(-3). Solve 5*m + 0*m - v*w = 15, m + 5*w = 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - -7. Let l = -24 + s. Which is smaller: 6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28401 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = r + 136, 0 = -0*k - 4*k - 3*r + 262. Let o = -46 - -97. Suppose -3*m + 38 = p, -2*p + o = m - 0. What is the remainder when k is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 6:48 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 782062*x**3 - x**2 + 1523*x + 1200 wrt x?\nAnswer: 4692372*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159 and 7473?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 + 0*b**3 - 4*b**3 + (b**3 - 4*b**3 + b**3)*(-21 + 9 - 10)*(14 - 13 + 17)*(2 + 1 + 3).\nAnswer: 4751*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-9))\/((-2)\/(-18)). Suppose -b - d = -18. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = k - 12, -8*k = -4*k - 4*f - 48. Suppose 0 = 8*r - k*r. Is r equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13638 is divided by 2138.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -4. Suppose w + 24 = h. Let r = 24 + -12. Calculate the remainder when h is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-134)\/17 + 22\/(-187). Let h = r - -5. Is (h - 15*-3) + 2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 + 9*n**4 - 10*n**4 - n**4 + (0*n**3 + n**3 - 3*n**3)*(0*n - 2*n + 3*n).\nAnswer: -4*n**4 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 10*c**2 - 14*c - 13. Is f(-12) 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 -11998966, -23997930, -35996894, -47995858, -59994822?\n\"Answer: -11998964*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111275110 to the nearest integer?\nAnswer: 10549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + (-12183)\/1116*-12?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Suppose 5*k + 2*i - 13 = -0, -k - 3*i = h. Suppose 5*o - u + 2 - 22 = 0, 0 = -2*o - k*u + 8. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*j + 1224*j + 30453 + 16789 = 0 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -a + 27, -4*t + 3 = -2*a + 27. Let z be (72\/20)\/((-1)\/t). Solve -6*u + 3*d = -u + z, 5*u + 4*d = -11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76504 - -76514. Suppose -6 = 3*u + 2*p, -2*p + 6 = -3*u - 3*p. Let a be 0 + (-2)\/u - 1. Solve -4*v + 2*v - c = a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2 - 2*z + 4. Let f = 7 - 3. Suppose -2*k = f*k - 12. Let a(x) = x**2 - 2*x**2 + 0 + 1 - k. Give 6*a(q) + r(q).\nAnswer: q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 338892 divided by 93?\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -764546 - 1?\nAnswer: -764547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = -43*i + 428 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/24 + (-1992)\/(-5312). Suppose -2*q + 8 = -x, 2*q - 9 - 11 = -5*x. Find n, given that -3\/2*n**3 + 0*n + 0 - n**x - d*n**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2 + ((-6)\/6 - -175)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412 (base 9) to base 10\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42\/89 + 5639\/445. Let h = 1490365\/588 - 380999889\/150724. Let w = 2\/769 - h. Calculate the common denominator of f and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 986*l**3 + 775*l**3 + 1012*l**3 - 562*l**3.\nAnswer: 2211*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1051232l in millilitres?\nAnswer: 105.1232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 116189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -87, -161, -223, -249?\n\"Answer: 4*s**3 - 30*s**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 10*u**2 - 2161 - u**2 + u**2 - 4*u**2.\nAnswer: u**2 - 2161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Suppose 4*v - 7 = -q, -3*v + 39 = 2*g. Calculate the smallest common multiple of g and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + sqrt(1088) - sqrt(17)*-4*-2)**2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 2:35 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 98442264 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237 - 173284.\nAnswer: -173047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(726) - (sqrt(24)\/sqrt(8) + 1))**2 + 2 + 2.\nAnswer: 20*sqrt(3)\/11 + 905\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.8 + 64.2. Let a = -70.94 + t. Let j = -18 + 17. Which is smaller: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, -303819, 8?\nAnswer: -303819","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 912 - 844. Calculate the remainder when 456 is divided by u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1230\/11 + 6414\/55. Which is the closest to -1? (a) 0.05 (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*(15\/(-5))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*t - 1 = 12, 3 = 3*l - 3*t. Let k be 2 - (-531)\/12 - l. Let q = 47 - k. Which is greater: q or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -1 - -4 - -4. Suppose -4*m + 17 = -3*j, 2*m + c = 4*j + 23. Let o(g) = -3*g**2 + 9*g**m - 5*g**2. Let a(p) = 8*p**2. Calculate a(o(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2 - 1 + 0*f**2 + 2*f**2. Let t(v) be the second derivative of v**4\/12 - 26*v. Calculate d(t(h)).\nAnswer: 2*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 332.8766 years?\nAnswer: 3.328766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -267\/8 and -32 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (2 - -1) - (-526 + 539)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10332 + -10?\nAnswer: -10342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*d - 22 = 0, -2*u + 14 = -2*d - 10. Suppose k + 57 + 16 = t, k = 4. What is the highest common divisor of u and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7 - 19 = 0. Let t(a) = a + k + 2*a**2 - 6*a**2 + 3*a + a**3 - 5. Calculate t(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811830858?\nAnswer: 2, 3, 397, 340819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 - 4*g**2 - 5*g - 5. Let m be o(-2). Suppose 0 = m*j - 43 - 9. Solve -5*b = 3*v + 9, 4*v = -5*b + b - j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 4*h**2 - 5*h + 4. Let s be y(-5). Let f(w) be the first derivative of w**3\/3 + 3*w**2\/2 - 3*w + 72. What are the prime factors of f(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f - 14*f = -2*f - 168 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/10043 and 19\/7304?\nAnswer: 80344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-209)\/(-38)) + (-5606)\/(-22) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 1:56 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6750*u**2 + 135*u - 260*u + 125*u - 274*u**2.\nAnswer: -7024*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5 = 2*l, l - 4 - 6 = 3*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1289*-1.\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -17283\/44 less than -393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41381, 79970, 118559, 157148?\n\"Answer: 38589*c + 2792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - (13 - 20)) + -2. Solve -5*l = -4*q - 30, -5*l = -8*l - 3*q - r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/122 - 555\/244. Let f be 4\/(-248)*(-2701)\/(-2). Let z = 63\/31 + f. Calculate the common denominator of w and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 562\/955 - 36\/191. Which is the nearest to -1? (a) h (b) -8\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/324448 and -47\/243336.\nAnswer: 973344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*c + 15, -40*c + 38*c = 2*r - 6. Suppose -7 = -3*b + r*s + 20, -b = 4*s - 29. Solve -a - 5*l = 3*a - b, 5 = 2*a + l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8572551 (base 10) in base 5?\nAnswer: -4143310201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -179. Let n = z + -129. Do 29 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2822, 2873, 2910, 2927, 2918?\nAnswer: 2877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22031 + 66094\/3. Sort l, -1\/3, -777, 0.2 in increasing order.\nAnswer: -777, -1\/3, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -3, 378 in increasing order.\nAnswer: -77, -3, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**6\/8 + g**5\/15 - g**4\/12 - g**3\/3 - g**2. Let q be m(-4). Round q to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1281148 and 18722?\nAnswer: 1090256948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4786731856 from 23527.\nAnswer: 4786755383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 22 + 10. Let z(i) = -i**2 + i + 1. Let u be z(0). Let d = -2 + 2. Put b, u, d in descending order.\nAnswer: b, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 35*b - 205 = -165, -4*b + 1 = -3*l - 0*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353, -1118, -2221, -3584, -5129, -6778?\nAnswer: -8453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 5*v**2 + 7*v + 8. Let t be d(-6). Let p be 22 - -6*1\/t. Suppose -h = 2*w - p, h + 6*w - 2*w - 27 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233 (base 4) to base 3\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*f**2*l*t**2 - 3*f**2*l*t - 3*f - 2*l*t**2 - 820*l*t - 2*l wrt f.\nAnswer: 34*f*l*t**2 - 6*f*l*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.29*-10815751\nAnswer: -3136567.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960 at most 3960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -50 (b) 0.3 (c) 162\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*y)*(0 + 4 - y**2 - 3) - 56050 + 305*y**3 + 56050.\nAnswer: 303*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1739 = -k + 1741. Let i be 3 + (80\/(-35) - 2\/(-7)). Suppose -2*m - 5*w - 39 + 8 = 0, 3*m + 14 = -w. Sort m, 0, k, i.\nAnswer: m, 0, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + 12. Let g(m) = -m**3 - 10*m**2 - 10*m - 14. Let d be g(-7). Let i = -1 - d. Calculate the remainder when i is divided by o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -141670\nAnswer: 1\/28334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -25*j + j**2 - 2*j**2 - 7 - 16*j + 53*j. Let g be l(11). Solve 0 = -z + 3 - g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1684 and -3?\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 0*g + 0*g**4 + 3 - 1\/60*g**5 - 1\/72*g**6 + 0*g**2 - 3*g**3. Let t(b) be the third derivative of q(b). Factor t(u).\nAnswer: -u*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -145\/111 + -1\/37. Let z(f) = f**3 - 10*f**2 - 7*f - 2. Let o be z(11). Let p be (-26)\/48 + 7\/o. Which is the closest to -1? (a) y (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 70. Let w be g(0). Let t be ((7\/(-3))\/7)\/((2 - -1)\/(-9)). Which is bigger: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 429 + -52. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611823847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24453*o*p + 130485530*o - 1418*p wrt p.\nAnswer: -24453*o - 1418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -31382 (base 13) to base 9\nAnswer: -144345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -2)\/(4 - 3). Suppose o = -m*a - 24, 29 = 2*o - 3*o - 3*a. Is 15 a factor of 12\/4*o\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*d - 5305 - 255 = 57*d. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2. Suppose 2*m = 4*m. Suppose -5*o - t + 4 = 0, 5*o + 5*t = -m*t + 20. Let q(h) = 3*h**2 - 2*h**2 + o*h**2 + 3*h**2. Calculate q(u(p)).\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*b - 4*z, 3*b + b - 3*z = 32. Suppose -t + b*t = 0, -2*m + 2*t = -2. Suppose 0 = 3*c - 7 + m. Solve c*o + 5 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvvvvnn. What is prob of picking 3 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 100582210 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 14*n + 3. Let c be s(14). Let f(h) = h + 4. Calculate f(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*w - 0*w. What is the hundreds digit of -1*(w + 1) + 963\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 6859\/13*f**2 - 34*f - 1\/130*f**5 - 3 + 19\/26*f**4 - 361\/13*f**3. Factor j(o).\nAnswer: -2*(o - 19)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -465271490 rounded to the nearest one million?\nAnswer: -465000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/1*-14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -427, 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 690*o**5 + 3*o**3 - 2*o + 3?\nAnswer: 13800*o**3 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3500869.8 to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - 3. Let y be q(2). Suppose w - 4980006 = -y*c - 2*w, 5*w - 3320010 = -2*c. Round c to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1496 and 109\/462.\nAnswer: 31416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gohcdnn. What is prob of picking 1 o, 1 h, 1 n, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 5:34 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -28*f + 5. Is a(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 16. Let v be t(10). Solve 0 = -0*n + v*n + w - 25, -3*w + 15 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z**3 - 763 + 763 + (-2*z - 4*z + 5*z)*(0 - 2*z**2 + 0) as d*z**3 + k*z**2 + r + t*z and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -6, 8, -1086, -4, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 110011 (base 2) to base 13\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3 - 3. Let h(c) = c**2 - 3*c. Let j be h(t). Let k(u) = -u**3 + 7. Give k(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-24))\/(2\/48*3). Suppose -2*s + s = 1, 0 = 3*u - k*s - 131. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - ((31 - -1) + 19).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298.116g to tonnes.\nAnswer: 0.000298116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 975*o**3 - 1954*o**3 - 6*o**4 - o + 1 + 7*o**2 - 3 + 975*o**3 to d*o**4 + z*o**2 + t*o + r + s*o**3 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 539872 to the power of 1\/2, to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 5 + 0*a**4 - 10\/3*a**3 + 0*a + 0*a**2 - 2*a**5. What is the third derivative of j(v) wrt v?\nAnswer: -240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.96 - 1.96. Which is the second smallest value? (a) 5 (b) m (c) 3\/29 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2 - 39*d + 15*d - 4*d**2 + 24*d. Let p(n) = 8*n**2 + 5*n**2 - n**2. Determine k(p(c)).\nAnswer: 432*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*r = 2*l + 85*r + 2, -3*r + 10 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -53, 3, -3, -2.\nAnswer: -53, -3, -2, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111000 + -1121?\nAnswer: -112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 299726234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 45\/14?\nAnswer: 45\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 - -0.07. Let a = z - -0.4. Let q = 0.05 - 0.45. What is the smallest value in a, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7432680, -7432678, -7432676, -7432674, -7432672, -7432670?\n\"Answer: 2*f - 7432682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23 (b) -0.5 (c) -205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 0*j - 3. Suppose z + 2 = j. Calculate the remainder when (-465)\/(-12) - ((-15)\/(-20) + z) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -65*s**2 + 2714*s - 11440. Determine n(37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 16 - 24\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 16)\/((-78)\/74 - -1). Let g be -191*1\/(-1) - 0. Let t = m - g. What are the prime factors of t?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-18)*j**(3\/5))**(15\/11) assuming j is positive.\nAnswer: j**(-261\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1559\/52 - -406\/13. Let 0 - c*u + 1\/4*u**2 = 0. Calculate u.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r + 5*r + 13*r - 30*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a*a\/(a\/(a\/a**18)))\/a)\/a))\/a*a**14*a*a assuming a is positive.\nAnswer: a**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -311*f**3 + 2*f**2 + 4*f - 73 wrt f.\nAnswer: -1866*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4843178 is divided by 200.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 17.4. Let j = -1.599972 + d. What is j rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*p - 88550, -2*p + 7*p - 221345 = x. What is p rounded to the nearest one thousand?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/7))**(-3\/4)\/(h**5\/h*h**(-1\/33)))**(-29\/5) assuming h is positive.\nAnswer: h**(109243\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -13927\/41?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87054682?\nAnswer: 2, 11, 13, 79, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m**4\/11 + 60*m**3\/11 + 18*m**2\/11 - 192*m\/11 + 120\/11 = 0 for m.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 538*f**4 + 35*f - 179*f - 2*f**2 - 536*f**4 to l + p*f**2 + s*f + y*f**3 + t*f**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 253?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -523381534 rounded to the nearest 1000000?\nAnswer: -523000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 266 = 914. Suppose -4*m = 3*y - y - f, 5*y = 2*m + 318. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3)\/((-3)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.2 - 4. Which is the second smallest value? (a) n (b) -4 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m**3 - m**2 + 8*m - 8. Let x be o(6). What is the units digit of x\/18 + 6\/(-27) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 0.02346 (c) -5 (d) -2 (e) 37 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 31*a + 9. Let h be d(17). Calculate the common denominator of 1*((-309)\/h + 2 - 3) and -99\/532.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 54*w**2 - 103*w + 53. What is p(-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + 3 + sqrt(171) + -1 + sqrt(171) + 5 + 5*(-1 + sqrt(171)))**2.\nAnswer: 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, -428, -1213, -2382?\n\"Answer: -192*u**2 + 175*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*d + 4*q + 64, 4*q = 3*d - 45. Suppose 7 - d = -4*b. Solve -b*c - 4*t + 11 = -0*t, 1 = c + 4*t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 8371.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -244504 divided by -52?\nAnswer: 4702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1942 - -15563\/8. Let i(h) = -557*h**3 - 2*h**2 - h. Let v be i(-1). What is the common denominator of g and ((-2)\/12)\/(4\/v)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*-3*33\/99?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/60 (b) 26 (c) -18.27 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**2 - 99*g + 33. Give r(-14).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -27. Let z(i) = 1. Let v(a) = 3*a**2 + a. Let h be v(1). Let p(b) = 2*b - b - 2 + h. Determine n*z(k) - 2*p(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*m + 49, -3*c + 94 = -4*m + 29. Suppose -3 = 4*v - c. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337000 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -33, 14, 53 in increasing order.\nAnswer: -33, -3, 0, 14, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 3. Let f be 2 - (-2 + -6 + o). Suppose -3*z = -f - 6. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105933591*u**2 + 492944247*u?\nAnswer: -211867182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmnmncmmqmmmmmmqmnm. Give prob of sequence nq.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178 and 979?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33453953*n**2 - 66908410*n**2 + 33454458*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yryy. Give prob of picking 2 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1. Let o(l) = -l - 4. Let j(u) = o(u) - 3*s(u). Let f be j(0). Let w be f\/2*5\/10. Which is the second biggest value? (a) w (b) -0.2 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -948, -4 in descending order.\nAnswer: -4, -76, -948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z + 2259 - 9*z + 0*z - 3*z - 16279.\nAnswer: -z - 14020","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2430 - 4?\nAnswer: 2421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -44*w**2 + 48*w - 24. Let u(o) = 9*o**2 - 10*o + 5. Let g(n) = -5*d(n) - 24*u(n). Let q(b) = -b. Calculate g(q(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -457840 divided by -472.\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*4\/36120*-42.\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.5, -3\/302, -2\/19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16276 and 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 245, 505, 855, 1295, 1825?\nAnswer: 2445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 39. Let o(a) = a**3 + 5*a**2 - 6*a - 22. Let q be o(s). Is 8 a factor of ((-2250)\/q)\/(-9) + 6\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1 (c) -33 (d) 826\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(15) + sqrt(90)\/sqrt(54))\/sqrt(5)*3 + -5 + sqrt(6)\/(sqrt(2) - (sqrt(98) + sqrt(2)))*-6).\nAnswer: -204*sqrt(3)\/7 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2364 and 981060?\nAnswer: 981060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5, -12, -2.\nAnswer: -12, -5, -2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*k**4\/3 - 91*k**3 - 50*k**2 + 148*k\/3 - 8.\nAnswer: (k - 6)*(k + 1)*(7*k - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Let p(s) = 5 + 5*s**3 - 3*s**d - 1 - 4*s**2 - 1. Let i(y) = -y**3 + y**2 - 1. Calculate -4*i(r) - p(r).\nAnswer: 2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 + 12*i - 3*i + 6*i + i**2 to d*i**2 + o + f*i and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234654 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133210 (base 4) to base 6.\nAnswer: -13204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821 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 x(j) = -j**3 + 4*j - 2*j**2 - j**2 + 0 + 0*j**3 + 4. Is x(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -46. Suppose -r = 2*x - 58. Let n be 3*1\/5*x\/3. Is n greater than or equal to -42\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5275 from -0.4.\nAnswer: 5274.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/(254\/1016)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d)\/d*((d\/(d*d**(-5)))\/d)\/d*d)\/(((d**(-2\/5)*d)\/d)\/d*d**1*d) assuming d is positive.\nAnswer: d**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-6))\/(2\/(-15)). Suppose -3*b + 45 = -c, -3*b - m*c = -0*b - 63. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135*-0.03.\nAnswer: 4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 446a9 - 7?\nAnswer: 446a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 0*r - r + (-r - 2*r + r)*(4 - 4 - 1) + 0*r + 5*r - 3*r - r + 6*r + 10*r)*(-r**3 - 3*r**3 + 7*r**3).\nAnswer: 66*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142219?\nAnswer: 7, 11, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, p: 1, a: 2, n: 3, x: 5}. Give prob of sequence kn.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/4 of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 0.1. Let q = -9 - -5. Let z = -4 - q. What is the third biggest value in z, 1\/7, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 17*u + 23. Suppose 10*i = 15 - 195. Let o be g(i). Which is the nearest to -9? (a) o (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnjjnnjnnnn. Give prob of picking 2 n and 1 j.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*g - 78*g + 78955 = f, -f + 2*g + 78969 = 0. List the prime factors of f.\nAnswer: 151, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {e: 2, f: 1, u: 2, l: 1, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + g**3 - g - g**3 + 2*g**3 + g**3 + (2*g**2 + g**2 - g**2)*(2*g - g + g) + 3*g**3 + 3*g**3 - 5*g**3 + (14*g + 31*g - 7*g)*(3*g**2 - 2*g**2 - 2*g**2).\nAnswer: -30*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*q - 1 - 5, k + 6 = -3*q. Suppose 48 = -k*y + 2*y + 5*c, 3*y - 5*c = 47. Calculate the remainder when y is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(28)\/(sqrt(4) + (sqrt(4) - (sqrt(4) - -4*(sqrt(4) + 2*sqrt(4))))) + 5 + (sqrt(49)\/(-2*sqrt(7) - sqrt(7)) - sqrt(7))*6)*-2.\nAnswer: -10 + 174*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.67 - 372.67. Let l = 370.97 + m. Let g = 15 - 12. What is the third biggest value in g, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.723336 rounded to 2 dps?\nAnswer: -2.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*1*(-1)\/1. Suppose j*r - 128 = -z, -3*r + 72 = 2*z - 3*z. Suppose -3*t + r = 2*t. Solve -t*q + 3*x - 4 - 5 = 0, 4*x = -2*q + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5234037\/352 + -29739\/2. Find the common denominator of -17\/2 and w.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s = -8. Suppose -s*z - 5*w + 24 = 0, 0*w = w. Calculate the remainder when (8\/12)\/((-2)\/(-48)) is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) - (-4)\/3. Suppose 5*w + f + y = 4, 3*w = -3*f + 9. Suppose w = 2*z - 96 - 10. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4) - sqrt(19))**2 + sqrt(19) + -1 + sqrt(38)\/(sqrt(2)*1) + sqrt(19) + sqrt(19) + 2*(5*sqrt(304) - (sqrt(19)*2 + -3)).\nAnswer: 5 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5271 + 140635 = -3148*i for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((6 - 4) + -2)\/(-1). Suppose q = -3*n + 49 + 71. Calculate the highest common divisor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 76. Let y be c(27). Calculate the smallest common multiple of -1 + 5 + 27 - y and (13 - 1)*(-10)\/(-6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 6*k - k - 21*k - 17*k.\nAnswer: -46*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a5 - 3?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 8. Let q be -106*(1 + (-22)\/r). Suppose 4*s - v - q = 98, -295 = -2*s + 3*v. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289182385 a multiple of 1583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206, -417, -628?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/288 and -53\/72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 20*n**2 + 125*n - 140.\nAnswer: -5*(n - 7)*(n - 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + i. Let s be x(-1). Let t = s - 2. Let h(j) = -j**2 - 6*j. Let n be h(t). Solve n = -5*a - 4*c + 8, c = -5*a + 4*c + 29 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 574*q - 312*q - 2*q**4 + 2*q**3 - 309*q wrt q.\nAnswer: -24*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -583?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 40006, -2, -4, 5, 2, -6 in ascending order.\nAnswer: -6, -4, -2, 2, 5, 40006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 55611607 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 c be (-7)\/(-30) + (455\/78 - 6). Let t(v) be the second derivative of -1\/10*v**5 + 2*v - 1\/63*v**7 + 0*v**3 + 0 + 0*v**2 + c*v**6 + 1\/18*v**4. Factor t(j).\nAnswer: -2*j**2*(j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145754023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1835 and -2248?\nAnswer: -4125080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 + 6*z**2 + 2*z - 4. Let f(s) = s**3 - s - 1. Let i(c) = -3*f(c) - k(c). What is the remainder when i(6) is divided by 26\/6 - 12\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u**3 - 9*u**3 + 27*u**3 - 108*u**3.\nAnswer: -121*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3130129759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = -32. Let y = 15 + n. Suppose 20 + y = 3*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -36*j**2 - 4*j + 28. Let c be y(3). Let n = 301 + c. Which is smaller: -34\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939550.\nAnswer: 2, 5, 19, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318257 divided by -3481.\nAnswer: -318257\/3481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f - 6. Suppose -f - 6 = -2*l. Suppose l = 2*z - 8. Calculate the least common multiple of 8 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 823.7438 meters in kilometers?\nAnswer: 0.8237438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 2*y**2 + 4*y - 21. Determine h(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27*(-30)\/(-63))\/(18\/117558). Round f to the nearest 1000.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16313339.\nAnswer: 7, 1039, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*(-3 + sqrt(425) - sqrt(425))*-6 - (-5*(-1*sqrt(425) + sqrt(425)) + -3 + sqrt(425)*-1)) + -4)**2.\nAnswer: -230*sqrt(17) + 954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45.98 and -234.36?\nAnswer: -10775.8728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 3)*(2 + 2 - 5)*(4*h - 2*h - 3*h)*(0 + 3*h + 0).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7800.66 less than 2\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 + 11*q + 11. Let t(a) = -a - 1. Let j(i) = -24*i - 22. Let v be j(-1). Determine v*b(c) + 22*t(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 6:23 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/9)\/(10\/15). Let o = 166 - 164.02. Let h = o + 0.02. Which is the second biggest value? (a) x (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -53, -52, -61, -86, -133, -208?\n\"Answer: -h**3 + h**2 + 5*h - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*b**3 - 4*b**2 + 2*b + 48823?\nAnswer: -51*b**2 - 8*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/217)\/((40 + -24)\/112)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-81)\/(-6))\/9)\/((-6)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 6:48 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 492\nAnswer: -98.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - j - 1. Let g(b) = b**3 + 4*b**2 + 6*b + 4. Suppose -2*h + 3*a = 8, -3*h = -h + a - 8. Let r be 5 + 0 + -3 + h. Give r*v(l) + g(l).\nAnswer: l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -315 + 593. Let v = 280 - h. Solve -5*g + 14 = -v*q, 0 = -3*q - 4*g + 6*g + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0786948 - 6.5258452. Let t = -6.61 - r. What is t rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 100186030 to the nearest 1000000.\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(54\/96)*42\/4. Let j = -36 - t. Suppose j = 3*z + 5*n, 5*z = n + 184 + 8. Is z a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 22 = -126. Suppose 4 + 8 = 4*p. Suppose 5*h + 10 = -p*t + y*t, 2*t - 5 = h. Let z(i) = 6*i**3 + i**2 - 2*i + 1. What is z(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 - -109. Which is greater: j or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 = -0. Suppose -l + c = u + 2, 0 = -4*u + l - 2. Suppose k + 2*k - 9 = u. Let n(s) = s - 4. What is n(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -186 - -183. Sort m, 2\/35, 2 in ascending order.\nAnswer: m, 2\/35, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25208, 40583, 55958?\nAnswer: 71333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 3*u + 0*u)*(13 + 9 - 18 - 2*u) to the form j + k*u**2 + a*u and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*w - 347, -2*w = 2*v + 138 + 230. Let x = w + 253. Suppose x = 4*t - 4*l, l - 70 = -5*t + 2*l. What is the remainder when 25 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -16\/61 (b) 252 (c) 0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*h + 0 + 20*h + 9*h + 2 as w*h + d and give w.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/13 - 7620*g\/13 - 7622\/13.\nAnswer: 2*(g - 3811)*(g + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-52)\/130 + ((-1)\/2 - (-66)\/(-110)). Let w = 5 - 8. Put w, g, 2, 1\/4 in descending order.\nAnswer: 2, 1\/4, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*w**3 + 7955*w**2 - 184995*w + 134280 = 0. Calculate w.\nAnswer: 3\/4, 24, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*d - 13, -8*c - 4 = -4*c. Let y(m) = -4*m**2 - 35*m + 39. Let b(z) = 12*z**2 + 106*z - 118. Let t(g) = d*b(g) - 14*y(g). Factor t(r).\nAnswer: -4*(r - 1)*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**3\/3 + 8*i - 2. Suppose 4 = -4*x - 2*u, -4*x + 8*u = 3*u - 10. Calculate y(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1543\/7 + 220. Let m be (-6)\/(-20)*(-3 - -1). Let n = 12589.33 - 12589.33. What is the nearest to n in m, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3087853?\nAnswer: 47, 65699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-6)*i))\/i**(-10) assuming i is positive.\nAnswer: i**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/560 (b) -1\/3 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 13*s**2 - 9*s - 15. Is m(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -923*q - 944 = -982*q. Is q not equal to 466\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 1)*2\/(-8). Let d be ((-33)\/(-33))\/((-3)\/(-2) - w). Find l, given that 0*l + 0*l**2 + d*l**4 + 0 - l**5 + 1\/3*l**3 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, -1, -2032 in increasing order.\nAnswer: -2032, -5, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/7051?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33819630, -33819633, -33819636, -33819639, -33819642, -33819645?\n\"Answer: -3*o - 33819627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552 = 7*z - 524 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**2 + 40*q - 20. Let x(g) = g**2 + g + 2. Suppose -25 = -8*y + 13*y, -5*y = 2*c + 19. Let i(a) = c*x(a) - v(a). Factor i(l).\nAnswer: -(l + 13)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 q, and 1 w when three letters picked without replacement from {g: 1, q: 1, w: 2, b: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 40*t**2 - t - 21. Let v be w(-40). Suppose 17*o = v*o - 20. What is the closest to -0.1 in -0.4, 0.5, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, -20, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 10) in base 11?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 8. Let w(n) be the third derivative of n**4\/24 + 5*n**3\/6 + 2*n**2. Give 5*q(u) + 8*w(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x**3 + 13*x**3 - 28*x**3 - 101*x**2 + 9*x**3 + 1 to n*x**3 + d + v*x**2 + y*x and give v.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9 = -7. Solve 3*s - l = 4*b, 3*s - 4*s = -b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 2, o: 7, r: 7}. Give prob of picking 2 o.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 18 = -3*s - s, 3*o - 2*s = -2. Put o, -7, -1, -8 in increasing order.\nAnswer: -8, -7, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1366654 millilitres in litres?\nAnswer: 0.0001366654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgawvvgiwwwvwwaagvw. What is prob of picking 3 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/10*7680\/36864)\/((-13)\/(-2)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 7 = 5*a - 5, 2*h = -a + 12. Solve 0 = 4*c + 3*r - 15, -2*c + a = r - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let q(y) = -y**2 + 5*y. Let h(u) = 2*u**2 - 2*u - 7. Let m be h(3). Determine m*g(k) + q(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by ((-1)\/1)\/((-3)\/(-162)*-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(2 + sqrt(500) + sqrt(500)))**2 + 4*(3 + (sqrt(605) + 1)**2).\nAnswer: 26008*sqrt(5) + 651732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-24)*(-6)\/63?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8466, -8153, -7830, -7491, -7130, -6741?\n\"Answer: d**3 - d**2 + 309*d - 8775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.81 - -0.19. Let m = p - 9. Which is the third biggest value? (a) 3 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46812 + -46810. Let a(s) be the second derivative of 1\/26*s**4 + 10 + 0*s**2 + 2\/39*s**3 - 1\/26*s**5 - v*s. Find j such that a(j) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 34. Suppose y*o = 4*u + 4*o - 22, -4*o - 20 = 0. Suppose -578 - 164 = -4*n + 2*q, u*n = -4*q + 573. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h + 10 = 44*h + n, 4*n - 22 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 247648\/3 + -82550. Let m = -2.1 + 12.1. Let q = -6 + m. Put d, 0.2, q, 5 in decreasing order.\nAnswer: 5, q, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 60*z**2 - 102*z + 119. Let b(p) = 43*p**2 - 68*p + 80. Let v(q) = 7*b(q) - 5*d(q). Factor v(s).\nAnswer: (s - 1)*(s + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/96)\/((-40)\/64)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q + 32917 - 65837 + 32920.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 553123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 - -207. Suppose -p = -6*p + d. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37 - -6835?\nAnswer: 6873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 113 = 3*r, -5*p + 121 = -r + 10. Suppose 116 = 3*s - p. Let t be 2\/(-9) - s\/(-207). Solve t = -3*m + 4 + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14865250*a - a**3 - 1 + 14865250*a + 1.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**5\/10 - n**3\/6 - 4*n**2. Suppose a + 5*w + 8 = 0, 4*a = 3*a + 4*w + 10. Let l be ((-14)\/(-56))\/(a\/8). Determine g(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n. Let t(d) = 10683 - 57*d - 10684 + 22*d. Determine t(i(c)).\nAnswer: -105*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -13, -7, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.1, 0.4843, 5\/4, -2\/3?\nAnswer: 0.4843","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 909, 1750, 2865, 4248, 5893, 7794?\nAnswer: 9945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/3093 - 9323\/68046. Calculate the common denominator of (-47)\/6 + 3\/9 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.36 - -0.32. Let x = -0.0399975 - j. Round x to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9723\/1426 + 208\/31. Let g = w + -35\/1794. Is 0 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - j + b + 2560, 4*j + 2*b - 2560 = 0. Is j a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 = -2. Find the second derivative of -4*i**5 + 3*i + 8*i**5 - i**y wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 1)*(-4*y + y + 5*y)*(4 - 3 + 0) + ((-1 + 4 + 1)*(-1 + y + 1) - 4 - 2*y + 4)*(3 - 5 + 5))*(y**2 + 2*y**2 + 0*y**2).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 9:21 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5\/4 + 47*h**4\/4 - 319*h**3\/2 + 833*h**2\/2 + 5439*h\/4 + 3087\/4 = 0.\nAnswer: -1, 7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014998 to five dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 12, 3*w + 5*k = -0*k + 27. Suppose j - w*j = -6. Let z be 2*(0 - j)*21*-2. What is the greatest common divisor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v + 13. Suppose 2*r = 5*l - 3, 2*r - 2*l - 1 = 5. Suppose r*i + 22 = 148. List the prime factors of t(i).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.564 - -0.036. Round r to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 + 302616*j\/5 - 22894110864\/5.\nAnswer: -(j - 151308)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6079, -12021, -17963?\nAnswer: -23905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (208560\/(-320))\/((-2)\/(-80)*-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + 1.6. Let s = 0.8 + j. Which is the nearest to 0.1? (a) 2 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1. Let c(u) = -66*u**2 - 7*u + 222. Let p(y) = c(y) + 3*o(y). Let h(b) = 32*b**2 + 3*b - 109. Let w(n) = 9*h(n) + 4*p(n). Differentiate w(d) wrt d.\nAnswer: 48*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 1560 = 1595 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*b + 24 = 0, 3*b + 54 - 61 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 197*o**2 + 596*o + 7. What is n(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 4:10 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01156324948 to five decimal places.\nAnswer: 0.01156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 9*j**2 - j + 10. Suppose -4*z + 40 = 4. Let g be y(z). Sort g, 4, 2.\nAnswer: g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3266, -6468, -9610, -12698, -15738, -18736, -21698, -24630?\n\"Answer: -d**3 + 36*d**2 - 3303*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18484 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -20 + 16 + -25?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 593008879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9 times 1443838?\nAnswer: -7074806.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*w**3 + 417*w**3 + 39*w**3)*((0 - w + 0)*(-1 - 2 + 1) - 25*w + 13*w + 15*w).\nAnswer: 2040*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399 - 616 = -35*p for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-5) - (-14446)\/15145. Which is the closest to 283? (a) -1 (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.762414 + -0.07767547?\nAnswer: 8.68473853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*i = 43, 3*d - 43580*i = -43582*i - 25 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*t - 131 + 1144 - 633 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 13*d + 32 = 0. Let v(w) = -4*w. Let j(g) = g. What is d*j(r) - v(r)?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + 1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -31*o + 25 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121.5 - 121.44952. Let x = 0.046 - k. What is x rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 39.82 + -41.82. Let i = 1\/37 - 77\/111. What is the closest to -1 in -2\/9, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43033839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(((s\/(s**(-2\/13)*s))\/s)\/s)*((s**7*s)\/s)\/s)**(-39))**(-41))**(2\/39) assuming s is positive.\nAnswer: s**(9430\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97.1 + 97. Let s be ((-4)\/8)\/(30\/(-12)). Which is the closest to 2? (a) s (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -436 - -811. Let g be 8\/28 + m\/35. Let u = 3 - g. Let v(f) = -f**2 - 8*f - 3. Give v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1, -5, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 29 + 60. Let m = -45 - s. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c + 9*c - 6*c in the form s + o*c and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*x + 8, 3*x - w + 3 = 9. Let t = x - 2. Let p be (-1*(-1)\/(-45))\/(4\/(-24)). Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -230097, -460189, -690283, -920379?\n\"Answer: -w**2 - 230089*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 27852*i**2 - 62947980*i + 45650425284.\nAnswer: -4*(i - 2697)**2*(i - 1569)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 10, 11*b + 5*d = 12*b - 978. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - (sqrt(25) - (sqrt(200) + (sqrt(200) - 2*sqrt(200)) + sqrt(200))\/sqrt(8)))\/(sqrt(405) + 1*sqrt(405) + sqrt(5)).\nAnswer: sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4080)\/(-675) - 2\/45?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 + 4886*g + 774653. Give s(-178).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75337777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2728 is divided by 490?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 286547719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) -2 (c) 1\/8 (d) 0.1 (e) -45\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -5*d - 35, 3*w - 76348 + 76225 = 21*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332170 to the power of 1\/2, to the nearest integer?\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 21*p. Let l(o) = 44*o**2 - 5044674*o + 5044674*o. What is d(l(h))?\nAnswer: 924*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, -19, 13, 5 in descending order.\nAnswer: 13, 5, -3, -12, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1619832)\/(-16) + (-26)\/4 + 18\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*o = 1534, -5*s + 7*s - 4*o = 598. Let i = 531 - s. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 730, 737, 768, 835, 950, 1125?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4059*z - 30663 - 106783 = -2172*z + 5347*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d + 1. Let z(x) = 4*x + 1. Suppose -3*t + 0*t = -9. Suppose -t*m + 12 = 5*q - 0*m, -5*q = 2*m - 13. Suppose q = u + 5. Give u*l(o) + 3*z(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (3 - (4 - 1)) + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.818 - 1.818. What is the closest to 5 in -3, c, 0.004?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 543935497*w**4 + 22124*w**2 + 310*w wrt w?\nAnswer: 13054451928*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-1) - 872\/(-4). Let u = z + -156. Calculate the highest common factor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 31. Let g = w + -34.3. What is g rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4811.\nAnswer: 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27290266 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 35*i + 384. Give g(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/17 - 209\/(-187). Let t(r) = -6922 + 5*r + 0*r + 6922. Calculate t(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/8)\/17*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62807.\nAnswer: 181, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122221 (base 3) to base 6.\nAnswer: -2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18626513 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 9 + 2 + -20 + 49 + -1.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*l = 546, -4*l = 8 - 4. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 20 = -m, -3*j - 3*m = -4*j + 24. Suppose -j = -3*h - 42. What is the units digit of 61\/4 + (-6)\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.85551km to centimeters.\nAnswer: 1085551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8529 is divided by 205?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34054850 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, -1 in descending order.\nAnswer: 10, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10037*o - 593*o + 200836 = -2612*o - 1282052 for o.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o**2*w**3 + 58505327*o**2*w + 247243570*w**3 wrt o?\nAnswer: 4*o*w**3 + 117010654*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1311*v - 49217 = -61*v - 5313 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 750 - 6b69?\nAnswer: -6419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*u = -8, -3*m - 10 = u - 44. Let w(l) = -2*l + 2. Let s(j) = -j**2 + 11*j - 11. Let t(a) = m*w(a) + 2*s(a). Let o(b) = -4*b. Determine t(o(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5\/7 + 4*l**4 + 122*l**3\/7 + 232*l**2\/7 + 200*l\/7 + 64\/7 = 0.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 32*x + 1335. Calculate z(-40).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14946950 and 16310?\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136385 + 169556 - 70270 = -4379*d - 242*d for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15647815.\nAnswer: 5, 1399, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 q when four letters picked without replacement from {e: 1, v: 2, n: 1, q: 4, g: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.1 + -0.9. Let m = 1 - j. Which is smaller: m or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**8\/25200 - j**7\/3150 - j**6\/300 + 3*j**5\/10 + 18*j**2. Let v(r) be the third derivative of k(r). Factor v(w).\nAnswer: 4*(w - 3)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1. Let l be 96\/(-144) - (-2 + 128\/6). Let v be -3*(16\/l - 3\/(-5)). Which is the biggest value? (a) o (b) v (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3982 a factor of 647329848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.11 (b) 0 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -14983*t - 149546. Calculate n(-10).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 11*n**2 + 11*n + 8. Let q be o(-10). Let z = -52.964 + 53. Let f = z + 0.264. What is the biggest value in f, q, -4\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 207613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69310 = -3*t - 2*g, 4*g - 5 = 15. What is t rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(114) + sqrt(114))*-2 - sqrt(114))\/(sqrt(144)\/sqrt(6))*-4*-4.\nAnswer: -56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 207, 396, 615, 864, 1143, 1452?\n\"Answer: 15*j**2 + 144*j + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*k + 2535*l - 1271*l = 1261*l + 5232, -k - 2*l = 3*k + 312 for k.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3*(sqrt(108) + 1) + sqrt(108) + -2)*3)**2.\nAnswer: 1440*sqrt(3) + 4288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5023, 10498, 16851, 24520, 33943?\n\"Answer: 73*p**3 + p**2 + 4961*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6919.817 millilitres in litres?\nAnswer: 6.919817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2575?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1810.7205*-0.1.\nAnswer: 181.07205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106092763 to the nearest integer?\nAnswer: 10300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4562 - 5?\nAnswer: 4554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 - 0.64?\nAnswer: 376.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11691 + 11691.1. Let u be -2*(-1 - 452\/(-464)). What is the closest to -2\/7 in q, 3\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -28, -85, -176, -307, -484, -713, -1000?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*l + 8, -g + 5*l + 22 = 3*g. Suppose -11*j - 894 = -2*o - g*j, -1774 = -4*o - j. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -118 + 198. Round z to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -94.6, -2\/17, 0.3, -4, -2\/251?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170717?\nAnswer: 31, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + 2*w**3 + 5*w**4 + 3*w**4 + w**4 - 4*w**4 + w**4 + 2*w**4 + 3*w**3 - 3*w**3 + (0*w + 2*w**2 + 0*w)*(0*w + 0*w - 2*w**2).\nAnswer: 4*w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61847288?\nAnswer: 2, 7730911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 = -16*q - 103 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:08 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 minus 0.315973628259?\nAnswer: -261.315973628259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*8\/(-128)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(110) + sqrt(110))*1 + sqrt(110) - sqrt(110)) + (sqrt(110) - 4*(sqrt(110) + sqrt(110)*-3)))\/((-1*1*sqrt(250) - sqrt(250))*-2))**2.\nAnswer: 99\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.6. Let d = -0.7 + o. What is the biggest value in -3, 1\/4, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 - 52. Calculate the remainder when f is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1)\/((-5)\/(30\/(-12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 369, 555, 741, 927?\nAnswer: 1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -640, -5362, -18244, -43372, -84832?\n\"Answer: -681*d**3 + 6*d**2 + 27*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from mgggggggggggmm.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(4))\/((sqrt(210)\/sqrt(6))\/sqrt(7)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1022, -1766, -2508, -3248?\nAnswer: -3986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 157*p**5\/5 + 47*p**3\/3 + 7. What is the third derivative of f(v) wrt v?\nAnswer: 3768*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2. Let t(n) = 108*n**2 - 220*n. Let r(m) = -6*i(m) - t(m). What is the second derivative of r(u) wrt u?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11.6? (a) -4\/9 (b) 819 (c) -6 (d) -1 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**8)\/(s*s\/s**(6\/11)))\/((s**0*s*s)\/s)**(-3\/19))**(-6) assuming s is positive.\nAnswer: s**(10404\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 - 111.955. What is i rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357*s + 9152 = 361*s. Suppose s = 3*d + 8*d. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -23*s**2 + 26*s + 11. Let x(t) = -9*t - t**2 - 5*t**2 - 6 + 7*t**2 + 7*t**2. Let r(a) = -1. Let m(u) = 2*r(u) - x(u). Determine 17*m(p) - 6*y(p).\nAnswer: 2*p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 11 - 26544*f - 4 - 3 - 18207*f. Let b be y(4). What is b rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-10))**(2\/19))**(-27))**(1\/7) assuming b is positive.\nAnswer: b**(540\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h + 47 + 10. Solve 5*o + 12 = -2*y, -3*y - o = -4*o - h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5144*s**3 + 10328*s**3 - 5180*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-4*((-329)\/94)\/(140\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*r + r. Solve -r*m = -m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 856*t**2 + t + 414 wrt t?\nAnswer: 1712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -19.214855 - -0.788855\nAnswer: -18.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**3 + 2 - 4*j**3 + 2*j**2 - 4*j - j - 4 in the form i*j**3 + d + p*j + w*j**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1686 is divided by (-634)\/(-6) + 13*(-11)\/(-429) + 7?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 4*w**2 + 4*w + 1. Let z be i(3). Suppose 15299997 = 3*f - h, -z*f - h = -9*f + 25499997. Round f to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-25))\/((-1)\/(-1))*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*t - 0*t + 125, -43 = l - 3*t. Put -1, l, 1 in increasing order.\nAnswer: l, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -78, -69, -58, -45, -30?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111130313023 (base 4) in base 12?\nAnswer: 1a72237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 1 - (-2 - 2). Suppose 10*g - 19 = 1. Let t(f) = -f**3 + 142*f - 21. Let c be t(-12). Solve -c*j - j = n*z, g*j + 4 = -z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.473, -264\/7, -2, 1, -0.2?\nAnswer: 0.473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 0. Let k = -7 - h. Let b be (9 - k)*(3 + -1). Solve 0 = m + 4*a + 6 - b, -a = 4*m - 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-9)\/(-4))\/9.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -42.004 and 5.5.\nAnswer: -36.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -8 in decreasing order.\nAnswer: 7, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64710 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8613 divided by -41\nAnswer: 8613\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-5))\/(((-1000)\/(-15))\/(-10))*(-590)\/118?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 3*q + q**2 - 13 as t*q + m*q**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 33*r**2 - 59*r - 8. Let j be c(2). Suppose 5*i - 14 = -34. Put i, 5, 4, j in descending order.\nAnswer: 5, 4, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 120738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/104 and -43\/32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -222*d + 6. Let u be w(-4). Is (u\/(-15))\/((-2)\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = o - 6*o - 1156, -4*q + 2*o = -1560. Does 12 divide q\/16 + 3\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 21\/12*-1. Let x be ((-6)\/33)\/(-1 + 2). Which is the closest to 0? (a) 4 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 18 = -8*x. Let u(j) = -j**2 - 27*j - 11. What is the remainder when u(x) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 - 3 = 0. Factor -u - 2*x**2 + 1\/2*x**3 + 5\/2*x.\nAnswer: (x - 2)*(x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1112 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26071178 is divided by 8690385.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - r**3 - 11*r**2 + 10*r**2 - 33389505 + r**2 + 33389516.\nAnswer: -4*r**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j - 80*j**3 + j**2 - 9*j + 95*j**3.\nAnswer: 15*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {z: 2, p: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 9. Let x be b(-6). Let l(g) = x - 3*g - g + 3*g. List the prime factors of l(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 336614395 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 702\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(2\/(4\/(-14)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by ((-258)\/(-18))\/(2\/6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/8651861 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 12:54 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-24)\/45)\/(2\/5). Suppose 2*j = 5*h + 42422, -2*h - q*j = 2680 + 14284. What is the tens digit of h\/(-105) + 4\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 264*m**2 + 33*m + 219842?\nAnswer: 528*m + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (-4 + 0))*7. Let q(n) = n**3 - 6*n**2 - n - 1. Let t be q(a). Suppose 61 = -2*l + 5*l - 4*j, -t = -2*l + 3*j. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103082*f**3 - 103092*f**3 + 206183*f**3.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*l + 247 = 8180*w - 8175*w, -l + 2 = 0 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 5:59 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*z**3 - 48*b*z + 45*z**3 + 2*z**2 wrt b?\nAnswer: -2*z**3 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 166485577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l - 17*l + 76 = 0. Solve -c - 2*g = 3, 2*c + l*c = 2*g + 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -273*x - 1957. What is l(-8)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*d - 3*d + 2*d)*(78 - 7 + 180).\nAnswer: -3263*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**14*t**24\/t*t assuming t is positive.\nAnswer: t**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1638 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.770761781 + -3.3.\nAnswer: -4.070761781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:53 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197530475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**3\/3 + 1693*a**2 + 11947*a + 4196. What is the derivative of m(i) wrt i?\nAnswer: -2*i + 3386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 339 = -0*c - 2*c, 0 = -3*c + 4*t + 451. Suppose -2*x - 47 = -c. Suppose -o - x = -6*o. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - l + 56 = 0, 4*i + l + 13700 = 13756 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8504*t - 8498*t - 63 = 3*i, 2*t = -4*i + 36 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95\/3 + 91\/3. Let y be 0 - 24\/6*1. Which is the smallest value? (a) -0.07 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -74, 15, 5, -1.\nAnswer: -74, -1, 5, 15, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x - 3*g, -4*x + 22 - 2 = 3*g. Suppose -3*f = x*f - 15. Solve j = f*j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 299944 - 598816 + 298863.\nAnswer: -2*k - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (120\/(-300))\/((-1)\/(-30)) - -12. Solve x = d - 3*g - 11, -9*g + 7*g - 13 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273072.\nAnswer: 2, 251, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 189664.4 to the nearest 1000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**3\/2 + 6*y**2 - y. Let z(n) = n. Let i(r) = -v(r) - 2*z(r). Let d be i(9). Is -3 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 57*r + 15. Let k(m) = 29*m + 7. What is -13*k(b) + 6*n(b)?\nAnswer: -35*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56, -42, -66, -146, -300, -546, -902, -1386?\n\"Answer: -3*j**3 - j**2 + 38*j - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-12) + (-8)\/(-10) and -77\/240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-419.0655\nAnswer: 209.53275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 11:03 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 62463, 62487, 62507, 62517, 62511, 62483?\n\"Answer: -p**3 + 4*p**2 + 19*p + 62441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 31. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94242?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Suppose o + o + 14 = c. Let s = 11 + o. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 35. Suppose 95 = 9*p + k. Solve n = p*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1683894 is divided by 420869.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**1)*(a*a\/(a**(1\/7)\/a))\/a*(a**(-1)\/a*a*a)**(-22))\/((((a\/(a\/a**(2\/5)))\/a*a)\/(a\/a**3))\/(a**(-3\/2)\/a**(-1\/3))) assuming a is positive.\nAnswer: a**(-569\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13664 - -13718. What is the lowest common multiple of 45 and o?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 1481*m + 2309443. Calculate p(-950).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 8 + 17. Let j be ((-63)\/6)\/3*2. Are j and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 14*m**2 + 8*m - 53. Let b be i(-13). Solve 4 = 5*z + 3*w, -2*w + 0*w = -4*z + b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 1, s: 2, r: 1}. What is prob of picking 1 h and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1, 2, 11\/15, 0?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**4*o + 264*i**2 + 22*i - 153*o + 143 wrt i?\nAnswer: -4*i**3*o + 528*i + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 - 16*k - 14. Let s be f(6). Let i be ((-1)\/2)\/(1\/8). Let p = s - i. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1519 = 5*s - 2*t, -299 = 2*s - 3*s + 2*t. List the prime factors of s.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l**(-1\/3)*l)\/l)\/l)\/(l**7*l))**27 assuming l is positive.\nAnswer: l**(-225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 358759, 358741, 358725, 358711?\n\"Answer: s**2 - 21*s + 358779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 21*h**2 + 2*h + 1. Suppose 2*n + 0*n = 22. Calculate the remainder when f(-1) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = o + 238 + 248, -2*n + o + 244 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**3 + 392625650*a**2 = 0.\nAnswer: 0, 78525130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y + 30. Let z be d(8). Let l = 11 - z. Solve 0 = m - l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 17455622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 341701528 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2215*j**2 + 1265*j wrt j.\nAnswer: 4430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-357243*m - 2309*m**4 + 357243*m)*(0 - 3 + 1)*(4 + 0 - 3) as j*m + x + y*m**2 + l*m**3 + t*m**4 and give t.\nAnswer: 4618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -135673, -271359, -407043, -542725?\n\"Answer: j**2 - 135689*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 20. Let b = g + 17. Calculate the highest common factor of b and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**4 - b**3 + b**2 - b - 1. Let z(q) = -121*q**4 + 5*q**3 + 124*q**2 + 5*q + 5. Let w(i) = 5*v(i) + z(i). What is the third derivative of w(s) wrt s?\nAnswer: -2784*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 864 + 866 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -1.3. Let u = -0.5996 - s. What is u rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(4\/1 - 5\/2). Suppose d*m - 13 = 11. What is the least common multiple of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*j + 2*j - 2*j + (-5 + 4 - 1)*(5*j - 5*j + 2*j) - 3*j + j + 3*j + j - 3*j + 3*j - j + 34 - 25 + 2*j to the form p*j + q and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37769 and 358?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 3:20 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j - 4*v + 4535 = 0, 2*j + v = 9105. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (205 - 235) + -1 + 1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-5) + 2 + 1. Sort w, 0.3, -0.2 in descending order.\nAnswer: w, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1333*q**3 + 0*q + 4890*q**3 + 2386*q**3 - q.\nAnswer: 5943*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7680*s - 1296*s + 1942*s + 2511*s + 6777*s in the form u + j*s and give j.\nAnswer: 17614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3813 - -1.3813. Which is the smallest value? (a) -14\/57 (b) -3\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -6564\nAnswer: 6563.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + 3 + u - u**2 + 52*u**3 - 54*u**3. Let v be t(0). Solve v + 3 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-1640395668945\nAnswer: -1640395668950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*g - 400, g + 0*b - 3*b = 76. Suppose -5*p + g = 3*k - 76, -71 = -k + 2*p. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/20160 - -9737\/2880. What is the common denominator of -11\/30 and g?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.05 - -3.75. What is the biggest value in -5, 0.3, n, 2\/165?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*35\/(-140)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25205 is divided by 2800?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161050.9cm to kilometers.\nAnswer: 1.610509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*o = 3*k - 102, -5*k + 4*o + 167 = 0. Calculate the remainder when 214 is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81310 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02038 - -0.52038. Let l = 0.3 + 0.3. Let n = 0.1 - l. What is the fourth smallest value in r, n, -2\/7, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165 and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -320 - -512?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.7 + -10. Let k = 140 + -66. Let i = k - 73.5. Put i, -6, h in descending order.\nAnswer: i, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0695 + 67608906.\nAnswer: 67608905.9305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9833*g**3*i**3 - 20*g**3*i**2 - 2*g**3 + 15167*g**2*i + 6*g*i**2 - 2*g*i - 17*i**3 wrt g?\nAnswer: 58998*i**3 - 120*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/8)\/((-2)\/8). Let t(j) = j**3 + 8*j**2 + 7*j + 5. Let k be t(i). Let m(b) = 3*b - 2. Let f be m(2). Is f > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19726 + 42391. List the prime factors of r.\nAnswer: 3, 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 515 + -514.9169. Let i = 1.09 - 1. Let p = o - i. What is p rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71812094.98318 - 71813294. Let c = -1199 - p. What is c rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79618.643 minus 17?\nAnswer: 79601.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - x = 1, 9*t = 4*t - 4*x - 40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u - 45 = 311 + 442 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4 - 3*z**2 - 4 + 2 - 4*z**4 in the form b*z**3 + o*z**4 + c + r*z + w*z**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + 3*t**2 + 285. Let l(a) = a**3 + 2*a**2 + 284. Give 3*l(m) - 2*x(m).\nAnswer: -m**3 + 282","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3725 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 12*p**2 - 2*p + 27. Let f be w(12). Suppose 10 = f*l - 2. Suppose c + l*c - 675 = 0. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -13. Calculate the remainder when 43 is divided by o\/(-21) - 326\/(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6080 and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 3*l**2 - 4*l - 10. Let r be d(-5). Calculate the highest common divisor of r and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118834 or -118837?\nAnswer: -118837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1 - -1)*(-42)\/(-28). Suppose -5*z + 44 = 4*b, -z - 17 = -4*b + v. Let h be 4\/b*(-9 - -12). What is the highest common factor of h and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 540726 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16754 (base 10) to base 5\nAnswer: 1014004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 19*l**2 + 2257*l + 40957. Calculate d(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a millennium in centuries?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -675 - -63. Let b be q\/(-14) - (-16)\/56. Suppose 0*z + 4*z - b = 0. Calculate the least common multiple of 9 and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**2 - 1459368*n = 0.\nAnswer: -486456, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b4495 + -16?\nAnswer: -1b44ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*l**3\/13 + 154*l**2\/13 - 8*l\/13.\nAnswer: -2*l*(l - 4)*(19*l - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 4. Let k be s(3). Let n = 44373\/5 + -8442. Let d = -433 + n. Which is the biggest value? (a) k (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 272\/(-2)*(-11)\/((-924)\/(483\/23))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 11*y + 10. Suppose 2*j + 20 = -j - 5*a, -2*a - 16 = 2*j. Let x be m(j). Solve -2*d + 2 = -c, x = 5*d - 10*d + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 63\/(-18)*4\/(-7). Let j be -2*o\/(-12)*-21. Let q(m) = -m**2 - 8*m - 3. Determine q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6120\/1190)\/((-12)\/(-14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.87 - -0.03. Let o = -2.6 + h. Let s = -1.8 - o. Is 0.25 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 3 - 2 - 57*a**4 + 6 wrt a?\nAnswer: -228*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o + 7*o = 20 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 32571 and 2714\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5*-5217923\nAnswer: -26089615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 349*-20703.5\nAnswer: -7225521.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13e - 606?\nAnswer: -745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2 + 70*r - 109. Let h be p(-19). Solve 3*v - v = 4*w - 20, -h*v - 15 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*h - 318. Let i = h - 8. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5 + 10 + l - 33 + 11. Determine m(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by -65.\nAnswer: -87\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/6)\/((-18 - 10) + (-25175)\/(-8100)*9)?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1962\/(-45))\/((-1)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y + 37. Let r be h(-8). Solve -2*o = -10, 2*o + 45 = -r*x + 7*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05789166 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201849864*n = -201850007*n + 7150 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19648986 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602.4513 days to minutes.\nAnswer: 867529.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 744487*o. Let w(l) = 14*l. Give w(n(m)).\nAnswer: 14*m**2 - 10422818*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 6*f**2 + 5*f + 7. Suppose -4*p + 3*p + 5 = 0. Let q be n(p). Suppose -3*c + 2*k = -q, 4*k - 23 = -2*c + 3. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -206, -451, -760, -1151, -1642?\nAnswer: -2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -72. Suppose 4*d = -20, 50*j - 756 = c*j - 5*d. Is 26 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1722 - -4?\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 370, 0, 3, -4 in decreasing order.\nAnswer: 370, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -628294 or -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982 (base 13) to base 3.\nAnswer: 2020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4239502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79124?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25a (base 11) to base 12.\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 670.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8621 to 2 dps.\nAnswer: 1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -2211212201?\nAnswer: -2211212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 85 + -540?\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*(-9)\/864)\/(5\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17319405449 + 13?\nAnswer: 17319405462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -91\/4, -10, -0.5, -262, -3 in decreasing order.\nAnswer: 0, -0.5, -3, -10, -91\/4, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0144 * -14.\nAnswer: -0.2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 193 = 6*m. Let n = -29 - -55. Let v = m + n. Sort 3, v, -2 in descending order.\nAnswer: 3, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1246, -389, 1132, 3389, 6454?\nAnswer: 10399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-7 - 4 + 8)*(9*n - n + n) + 3*n - 2 + 2 + n + n + 0*n)*(-6*n**3 + 0*n**3 + 4*n**3) in the form i*n + u + g*n**2 + d*n**3 + z*n**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = y + 1. Suppose 8 - y = p. Suppose 3*r + 22 = -v - p, v - 43 = 5*r. Round r to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2201 + -436. Let f = m + 21183\/8. Find the common denominator of f and -65\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 2:06 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**0*c)\/(c\/(c*c**(9\/5))*c))**(-8\/7))**45 assuming c is positive.\nAnswer: c**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 177839902 to the power of 1\/3, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*r + 4*a + 99, 0 = 3*r - 4*a - 105. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43722051.09746 less than 0.1?\nAnswer: -43722050.99746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 6, 4 in descending order.\nAnswer: 6, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {r: 1, j: 1, z: 1, f: 5, t: 2, q: 7}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ess when three letters picked without replacement from essssessess.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1667 or -2\/11?\nAnswer: -1667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 202580 (base 9) to base 16\nAnswer: 1d4e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((115620\/(-329))\/(-82))\/(5\/42).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-7))\/(126\/(63\/7))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 100. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 2*x + 37, 16*m = 92231*x - 92235*x - 56 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127691195?\nAnswer: 5, 389, 65651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*p - 1172, -10*p + 5*p - 788 = -2*f. Calculate the highest common divisor of f and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybbn when four letters picked without replacement from {g: 1, b: 2, y: 9, n: 1}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*p + 24 = 0. Calculate the smallest common multiple of p and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**4\/(y*y*y**(-4\/3)*y*y*y*y*y*y)*y**(-1\/3)\/y**(1\/3) assuming y is positive.\nAnswer: y**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1374298, 1374316, 1374346, 1374388, 1374442, 1374508, 1374586?\nAnswer: 1374676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*r - 6 = 0. Let y be (9\/(-12))\/(-3) - 3\/12. Suppose -2*i = y, -16 = -4*j - 4*i + 3*i. Calculate the smallest common multiple of r and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-15)*(-5)\/2. Let l be (2*q)\/((-12)\/(-18)). Let f be l*(-8)\/(-36)*3. Are f and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -15, 69*h - 66*h = -4*x + 16659. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 14*k - 15 = 0. Let m(b) be the first derivative of 1\/12*b**k + 1\/16*b**4 + 0*b**2 - 4 + 0*b. Factor m(t).\nAnswer: t**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1246 divided by 3.\nAnswer: -1246\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520*d**2 + 779*d - 4172*d + 1325*d - d**3 - 2064 = 0. Calculate d.\nAnswer: -516, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -28*r + 490. What is o(6)?\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 352299 and 352328 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 5. List the prime factors of g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313829207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 20. Let y be c(-20). What is the highest common divisor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.7 + 11. Which is the third biggest value? (a) m (b) -0.2 (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 862 + -790. Calculate the greatest common divisor of 36 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 463781883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 - 1.9. Which is the biggest value? (a) -2 (b) 36 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*k**2 - k**3 + 3)*(782*k + 1019*k + 640*k) in the form u*k**3 + b*k**4 + q*k**2 + w + a*k and give u.\nAnswer: -4882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -385*x + 1155*x - 382*x - 29*x**2 - 387*x. Determine a(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 41, 63, 103, 167, 261, 391?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 17200338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 2\/9 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a = 6*a + 256. Let o be 8\/a + 3\/2. Solve o*u - 1 = -11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qgsggss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 3*f**2 + 3*f + 3. Suppose 0*i + 1 = -i. Let z = i + -3. List the prime factors of u(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21020113 (base 4) to base 9\nAnswer: -56264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h + 9. Let w(p) = 23*p + 19. Let k(t) = -5*s(t) + 2*w(t). Differentiate k(d) wrt d.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 10, -7*x + 4*u = -3*x - 4828. What are the prime factors of x?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 14. Solve y*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 o, and 2 p when four letters picked without replacement from ppdpnnnpnpopdqqod.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 4. Let d(m) = -6*m + 4. What is the remainder when d(j) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -16694?\nAnswer: 1669.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**3 - 10*o**2 - 9*o - 2. Let w(f) = -2*f**2 - 1. Let i(t) = -2*w(t) + x(t). What is a in i(a) = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47891757 or -47891754?\nAnswer: -47891757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -1026?\nAnswer: 61.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**3\/6 - 13*y. Let t(i) = i**2 - i**2 - 3*i**2. What is t(u(c))?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17556 and 627.\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/27, -5, -1\/9, 52, 1\/5, -0.11?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - 29\/7 - (-50)\/7. Suppose 3*o - 5*k = 0, f*k = -3*o + 3*k. Suppose h - 2*c = -3*h, o = 4*c. Solve -10 = -u + 2*g - h, 3*u + g - 9 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:20 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 24*y - 132*y - 11814 = 72*y for y.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 241775 and 1221600?\nAnswer: 23210400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/1965 + 59593\/11790. Calculate the common denominator of z and (1 - 1) + 4\/(600\/(-505)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:36 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 2. Let t be u(6). Suppose -13 = -g - t. Let n be (-4)\/14 - 9\/(-7). Calculate the greatest common factor of g and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*a**3 - 200\/3 + 34*a**2 - 32*a.\nAnswer: -2*(a - 50)*(a - 2)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - 174 + 1654947*b**2 + 85 - 1654929*b**2.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 126725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6800 - 20?\nAnswer: -6820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(5\/7)\/(q\/(q*q**(-2\/7)\/q))**(-12))**(-43) assuming q is positive.\nAnswer: q**(-4429\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -894335 + 894335 + 7*s + 177*s - 88*s**2 - 2*s**3.\nAnswer: -2*s*(s - 2)*(s + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - ((2 - 1) + 0). What is the third biggest value in 5, 2\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -518, -781, -1044?\nAnswer: -1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/145158406 and -71\/4759292.\nAnswer: 290316812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 250429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*f**2 - 2 + 434*f**2 - 108*f**2 - 98*f**2 - 113*f**2.\nAnswer: f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**6 + 3*c**5 - c**2 + 3. Let n(b) = 5*b**6 - 2*b**5 + b**2 - 2. Let w(a) = -2*l(a) - 3*n(a). What is the third derivative of w(q) wrt q?\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 860*r**4*y + 71*r**3*y - 16*r**3 - 2*r*y + 928*r - 291*y - 5 wrt r?\nAnswer: 10320*r**2*y + 426*r*y - 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6249082 = 105*l - 94640483. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -12*l + 4 + 10*l - 10 + 6*l. Let y(a) = -10*a. Determine y(g(n)).\nAnswer: -40*n + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344, 690, 1036, 1382?\nAnswer: 1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -133 + 25. Let p be (-1)\/((-4)\/t*3). Put p, -1, -4 in descending order.\nAnswer: -1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 13*t - 30*t**2 - 2 + 25*t**2 - t**3 + 5*t. Let d be m(8). Suppose -7*r = -2*r + 2*i - d, i - 76 = -3*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5.2, -5990, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y**2 + 6*y - 22 - 5*y**2 + 7 - 14. Is o(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -886 + 891.93. What is h rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-3) - (-4)\/(-6). Suppose -a*p = 4*n - 70, 0 = p - 4*p - 3*n + 69. Calculate the lowest common multiple of p and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 31.\nAnswer: 12\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 21 + 3 - (-17 + 10 + 3 + 51).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Let x be -7 - -16 - (1 - c). Suppose 0 = 3*f - 0*f - x. Let n(r) = r + 1. What is n(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + ((sqrt(720) + 1 - sqrt(720)) + 4)**2*-5.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in months?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqpqqpqqpqqqq.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1863 + 6280. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 26. Let u be h(-14). Suppose u*c = -3*c + 35. Sort c, 2, -3, 0.\nAnswer: -3, 0, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8*((-126)\/252)\/(198\/176)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4*k - 2 + (4*k - 5*k - k)*(1 - 1 - 3).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44.81 and 0.0771.\nAnswer: 3.454851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.603529 milliseconds in weeks?\nAnswer: 0.0000002275190625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32\/11 in -2, -0.4, -0.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 148280684467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + (sqrt(1584) - (sqrt(1584) - (0 + sqrt(1584)))) + (sqrt(11) - (sqrt(11) - (sqrt(11) + sqrt(1100) + sqrt(11)))*-2))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/2 - 9946279*s\/3 + 2210284\/3.\nAnswer: (s - 2210284)*(9*s - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*b - 298*b - 102*b = -17440 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -11. Suppose p + 0*f - 7 = -f, g = 2*p + 4*f - 18. Let w be (1 - (-4)\/2)\/1. Solve 0 = -3*z + p*o + w, o - 5 = -5*z - o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 14 + -6 - (-6 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*c - 450 = 57*c. What is the least common multiple of 316 and c?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1774929.\nAnswer: 3, 13, 71, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2 + 199060*a - 995350 = 0.\nAnswer: -99535, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5721 + -5611. Calculate the greatest common factor of 490 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -490 + 5871. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x + 1165 = -15*x - 54163. What is the least common multiple of 28 and x?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 0.2, 1.3774, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**3*z**2 - 93122*y**3 - 25*y**2*z**2 - y**2 - 14*y*z**2 - 7*z wrt y.\nAnswer: 12*z**2 - 558732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzpqqzbqzz. Give prob of picking 1 b and 3 q.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455134 is divided by 416?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/7 + 90*s\/7 - 1800\/7 = 0.\nAnswer: -60, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 + h + 1. Let b be y(-1). Is (-553)\/(-49) + b\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5\/13 + 6384*v**4\/13 - 212268*v**3\/13 + 1875976*v**2\/13 - 3140694*v\/13 + 1470600\/13 = 0.\nAnswer: -3225, 1, 12, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -387*d + 390*d + 30. Suppose 0*p + 5*p - 45 = 0. Calculate the remainder when (-555)\/d + -1 + p\/6 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 751 - 150. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 - 56 - 48*s as z + h*s and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9295 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23648.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -991*p**5\/4 - 5909*p**4\/12 - 1910*p. Find the third derivative of s(j) wrt j.\nAnswer: -29730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201177.52 * 12\nAnswer: -2414130.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70448, 71288, 73568, 78008, 85328, 96248, 111488, 131768?\nAnswer: 157808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-18)*r\/r**(-14)*r assuming r is positive.\nAnswer: 1\/r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, i: 9, w: 5, u: 2}. What is prob of sequence quq?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:20 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 24 = 4*n, 0 = 8*n + 3*n - 4*q - 104 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 + s**2 + 3*s + 3. Suppose 6 = -y + 2*y. Let w(t) = 1 + 0 - 2 - t - t**3 + 0. What is y*w(j) + 2*b(j)?\nAnswer: -2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*w + 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 44 = -670. Let k = 55 + z. Does 29 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 3297017065.\nAnswer: -3297017049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g + 3159 - 3254 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3*g = -5*y + 30, -5*y + 3*g + 30 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453983 is divided by 1453930?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m. Let x be r(-1). Suppose 5*v + 2 = -4*s, -3*s = 5*v + 7 - x. Put -5, v, 5, -1 in descending order.\nAnswer: 5, -1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i + 72 - 5*i + 375 + 944 to b + m*i and give b.\nAnswer: 1391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - 4*i)*(-2*i + 2*i - 4*i**2)*(4*i**2 - 2*i**2 - i**2).\nAnswer: 16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*z**2 + 6*z**2 - z - 7 - 57*z**2 + (-3 + 3 - z)*(0*z + z + 0*z) - 3*z**2 + 2*z**2 + 3*z**2 in the form u*z**2 + s + a*z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28761 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/341, -21, 7 in ascending order.\nAnswer: -21, 5\/341, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 723, -0.03, 24.\nAnswer: -0.03, 24, 723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 333959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-2))\/((-3)\/(-9)). Let y(m) = m**3 - 4*m - m**2 + s - 3 + 3. List the prime factors of y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 19?\nAnswer: 20\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**5\/60 - f**4\/6 + 35*f**3\/6 - 2*f**2. Let g be i(0). Suppose 15*b - 8*b - g = 0. Solve -15 = -b*d + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) -19 (c) -0.042 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3535 is divided by (-1)\/(11\/(-1297)) - (23\/(-11) - -2)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/241?\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -183600 to the nearest one thousand.\nAnswer: -184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1283196249 divided by 3\nAnswer: -427732083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {o: 1, n: 1, g: 2, a: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -51.71296?\nAnswer: 51.21296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11831334 divided by -5915667\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**5\/10 - 13*h**4\/6 + h**3\/3 + 12*h**2 - 802*h. Calculate l(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4346 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -48216 divided by 294\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 203*s + 0*s**3 + 2 - 199*s + 14*s**3 to o*s**3 + w*s**2 + a*s + v and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.119752 to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6424 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-21*v + 28*v + 28*v)*(5 - 3 - 3).\nAnswer: 70*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12 from -3.022.\nAnswer: 8.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -306*p + 3973. What is j(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeehemhmhmeeoehx. What is prob of picking 1 h, 1 x, 1 m, and 1 e?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -24*((-4)\/8)\/1. Suppose 3*u = 2*u - w. Let r be (1\/((-15)\/(-24)))\/((-18)\/135). Is r at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 14. Let i be n(10). Solve i*u - 3 + 19 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4361 or 4365?\nAnswer: 4365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 621 divide 359364785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 4 (b) -8.3 (c) 0.5 (d) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3274103 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -466*l**2 - 4156*l - 30. Determine n(-9).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2153 + 6517\/3. Find the common denominator of (2 - 159\/45) + 4\/12 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4163 is divided by 77.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - n - 5, -4*n - 3 = -15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 1, -128, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41677494*w**3 + 2*w**2 - 65091582 wrt w?\nAnswer: 250064964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.422 + -0.789. Let s = z + 0.893. Let d = s + -0.55. What is d rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/12)\/(10\/100). Suppose 2*l + k - 4 = -r, 5*l = 3*r + 3. Which is the nearest to -1\/3? (a) l (b) 3\/7 (c) -0.3 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmk when four letters picked without replacement from mmkm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1372 = -35*m + 1337. Let u be 10\/4*-1*-2. Sort m, u, -12, 1 in increasing order.\nAnswer: -12, m, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8706 (base 14) to base 11\nAnswer: 1658a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*-9*11\/(-594)*(-6)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - 313304?\nAnswer: -313241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001432 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339 = -57*l + 3 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 228*z**6 - 8*z**3 - 8*z - 934. What is the third derivative of o(m) wrt m?\nAnswer: 82080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from tlwiizxt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1527, 2495, 3463, 4431, 5399, 6367?\n\"Answer: 968*m + 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11497877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let k be 2\/15*36\/24. Which is greater: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(54\/(-9)) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 2, -357, -4\/7, 2853?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 130?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*b**3 - 57*b**3 + 15*b**3.\nAnswer: -77*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -4*m - 7, -4*p - 4*m + 2 = 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101111000000101100010 (base 2) in base 3?\nAnswer: -200200110002220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 403*x**2 - 61*x + 32*x - 316*x**2 + 642*x**2 + 28*x + 1 to t*x**2 + d + r*x and give t.\nAnswer: 729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20, -5, 38, 121, 256?\n\"Answer: 2*f**3 + 2*f**2 - 5*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154 + -64. What is the lowest common multiple of y and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080*p + 24 = 1068*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:47 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -2*u**3\/39 - 3*u**2\/13 - 4*u\/13 + 15. Let o(v) = 0. Calculate v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.27, 4, -4, -1\/2, -2\/19?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -101, -148?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 9*x - 10. Suppose 3*o = 3 - 36. Calculate the lowest common multiple of 18 and r(o).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -64. Let r = -10\/49 - 302\/441. Is r > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50 in -5, 2, 4, -1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, 4 in decreasing order.\nAnswer: 9, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -m, 5*m = 9*m + c - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*q**3 + 0*q**3 + 8*q**3 - 40*q**3)*(-q**2 + 4*q**2 - 5*q**2).\nAnswer: 94*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*b = -143*b + 71*b + 840 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4 + 4 + sqrt(7) - (sqrt(70) - (sqrt(70) + 1*sqrt(70)))\/sqrt(10)))**2.\nAnswer: 36*sqrt(7) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/99 and -115\/616.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 61?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7924.27597 plus 0.22234?\nAnswer: 7924.49831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 26679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1073 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -18*c**2 - 45. Let q(t) = 2*t. Determine q(y(k)).\nAnswer: -36*k**2 - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 225906.31276 + -225993.3. Let m = 87 + p. Round m to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12125906?\nAnswer: 2, 13, 47, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/2465 and 35\/9367.\nAnswer: 46835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118077?\nAnswer: 31, 36067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -62*j + 1162. Let z be f(18). Which is the smallest value? (a) -0.4 (b) -4\/9 (c) -3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/9, 7, -0.204, -2\/7, 0.2, -19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2844 by 16973.\nAnswer: -2844\/16973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 6*m - 12.\nAnswer: -2*(m + 3)*(m + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 w when four letters picked without replacement from ssssswwtwwswsts?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.81 + -5. Let x = 0.09 + o. Let b = x + 4. Which is bigger: b or -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-4))\/((-48)\/320). Suppose 0 = -4*v + 3*c - 7*c + 20, 0 = -2*v + c + n. Factor 15\/7*f**4 + 0 + 0*f - 3\/7*f**2 - 9\/7*f**v - 3\/7*f**3.\nAnswer: -3*f**2*(f - 1)**2*(3*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174316691*h**2*t**2 + h*t**2 + 221*t**2 + 9466*t wrt h?\nAnswer: -348633382*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - 1 + 0*r**2 + 0*r**2 - 3*r**3 - 2*r**3 + 3*r**3 + (1 - 1 + 2)*(-5*r**2 + 5*r**2 - r**3).\nAnswer: -3*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (0 + (55 - 19) + -19)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -48 + a + 19 + 16 + 4*a + 9. Let i(o) = 4*o - 3. Calculate -5*c(w) + 6*i(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-9) + 1\/(-3). Suppose u*c + 5*c - 106 = 2*r, -3*c + 70 = 2*r. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 13601408 + 27202821 - 13601413.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + -2. Let v(q) = -q**2 + 7. Let u be v(7). List the prime factors of 4\/i - 1860\/u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -577, -591, -601, -595, -561?\n\"Answer: 2*p**3 - 10*p**2 + 2*p - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1222)\/(-94) - (2 + (-3 - 3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*y + 12*y + 45. What is the lowest common multiple of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = 41. Suppose -7*r + 4*r = -j. Let n(u) = 2*u + 3. Let c(t) = 2*t + 3. Let b(g) = r*c(g) - 6*n(g). What is the first derivative of b(w) wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -7*v**4\/24 - 2*v**2. Let t be 6\/(-15)*1025\/(-10). Let f(w) = -18*w**2 - 19*w**2 + t*w**2. Give x(f(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**3 - 76*b**2 - 352*b = 0 for b.\nAnswer: -11, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - 3*s**2 + 23*s**2 in the form j*s + g + w*s**2 and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 300804 divided by 1\nAnswer: 300804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3981*t + 1325*t + 1324*t + 1316*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 58. Let p be b(29). Suppose p = 6*h - 37091 + 2921. Let f(w) = -1 + 1 - 5697*w + h*w. Let v(t) = 7*t. Give f(v(z)).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.1678 to one dp.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-24)\/72)*(-734)\/(-132487).\nAnswer: 2\/361","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 303.2 + -303. What is the nearest to -1 in r, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11110 + -11050. Calculate the highest common factor of 430 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -535 + 543. Suppose 26*a = -u*a + 35088. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/3, 192\/47, -849?\nAnswer: 192\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/2 + r**4\/12 + r**3\/6 + r**2\/2 + 2*r. Let m(z) = -z - 6. Let g be m(-5). Let t = -2 - g. Give b(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**4 - 3*j**4 - j**4 - 6*j**4 + 3*j**4 + 2*j**4 + (1 + 0 - 2)*(-3 + 3 + j**4) + 2*j**4 - 2*j**4 - j**4 + 2*j**3 - 1897 + 1897 + 155*j**4.\nAnswer: 153*j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.21, -9, 3, 0.3, 1, 0.5, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 e when three letters picked without replacement from qxexuqoqppep?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - v**2 + 1. Let k be o(2). Suppose 3*u = -4*m + 10, 2*u - k*m + 8 = 5*u. What is the remainder when 11 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.4 - -0.4. Let a = t + 31.2. Let z = -40.9929 + a. Round z to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-175)\/(-100)*28\/147)\/((52\/216)\/13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*i**4*w**2 - 2161*i*w**2 - 54*w**2 + 303 wrt i.\nAnswer: -20*i**3*w**2 - 2161*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 243\/7 or -2\/1333825?\nAnswer: 243\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 35892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 10:18 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2. Suppose 0 = b - 0 + 4. Let f = b + 4. Let l(h) = -h + h + h + f. What is p(l(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 3:05 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 237673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -749*d**3*v**3*w + 2*d**3*v**2 + d**3*w**2 + 2*d**2*v**3*w**3 + 5*d*w**3 - 3*v**2*w**3 wrt v.\nAnswer: -4494*d**3*w + 12*d**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3377 and 35541?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -2 + -1)\/1. Let b(m) = -m - 1. Let c(j) = -3*j. Let i(s) = u*b(s) + c(s). Let p be i(-1). Put -2, p, 4 in descending order.\nAnswer: 4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1, 3, 1, 7 in descending order.\nAnswer: 18, 7, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 7*p - 35. Calculate the remainder when 271 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f - 7*f + 3*f)*(0 + 2 - 3) + (-35 - 7 + 0)*(2*f + 0*f + 0*f) + 46*f - 113*f - 37*f)*(3*f**2 - f**2 - 3*f**2).\nAnswer: 186*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*d + 154 = 0, -2*c - 3*c + 274 = -4*d. List the prime factors of c.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m - 1. Suppose -61 + 17 = -l. Suppose l = 15*c - 406. Calculate the least common multiple of c and z(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 2)*(2*y - y + y) + (-2*y + 0*y + y)*(1 - 6 + 1)*(-1 + 5 - 3) in the form d*y + v and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 26\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 5:20 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -397*a - 1149. What is the units digit of s(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + -47 + -50 - (-10 - -3 - -117)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110102121121102 (base 3) to base 16\nAnswer: -64cc58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6*m**2 + 4*m**2 - 3*m**2.\nAnswer: -5*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 2\/7, -3\/2, 0.1, -12, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 536*i**3 + 107736*i**2 - 9624416*i + 322417936.\nAnswer: (i - 134)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -95157*4\nAnswer: -380628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 33*c + 3190 = 0. What is the highest common factor of c and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/67 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f - 8*f + 3*f**2 - 5*f - 5*f - 10. Let r be l(12). What is r rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - o + 80 = 0, -y - 2*o - 71 = 18. Let z = -81 - y. Suppose -3*k = 2*b + 2, -z - 28 = 5*b - 5*k. What is the biggest value in -4\/3, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 6*m - 84. What is h(-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1290, -4, -1, -63, 3 in ascending order.\nAnswer: -1290, -63, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14)*(5 + 9). Suppose -3*t - 4*x + 9*x = 29985, -w*x - 12 = 0. Round t to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 1cb7?\nAnswer: 1cbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 63, 89, 115, 141, 167?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1182257 and -2024.\nAnswer: -1184281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*u + 3*u + 2*u**3 + 0 as d*u + n + s*u**2 + l*u**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-18))\/(((-6500)\/225)\/(-65)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -33*i**3 + 3*i. Let d(o) = -16*o**3 + 2*o. Give 7*d(y) - 4*v(y).\nAnswer: 20*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + 93\/3 + (-7)\/((-28)\/(-24))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6483649 a multiple of 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-21)*105\/(-135)*(-6)\/4 + -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 19 + (-4 - 6) + 2 + (-34 - -34)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 18*g - 44. What is l(10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 15*h - 1. Let n(g) = -9*g**2 + 88*g + 50. Let b(o) = -n(o) + 5*y(o). Give b(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12569, -25112, -37655, -50198, -62741, -75284?\nAnswer: -87827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-6))\/(2\/36). Suppose -114*v + 52 = -90*v - 44. What is the lowest common multiple of s\/3*22\/3 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 11. Let g = -157 - -142.9. Let c = z + g. Are 0 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 31.3. Put -0.4, -3\/4, 1\/11, p in ascending order.\nAnswer: -3\/4, -0.4, p, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231731.\nAnswer: 37, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091995 minus 118474416?\nAnswer: -118474416.091995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 3*l - 3*l)*(2*l - 3*l + 3*l) + 0 + 0 + 2*l**3 + (-5 - 3 + 6)*(2*l**3 - l**3 - 2*l**3) - 3*l**3 + 2*l - 2*l.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3929264 or 3929262?\nAnswer: 3929264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = -s, 2*i + 3*i + 14 = -3*s. Suppose 0 = -3*p + 6, -3*p + s = -2*o. What is the tens digit of 1 + 232\/20 + o\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -4, 4, 2, -1090725 in descending order.\nAnswer: 4, 2, 0, -1, -4, -1090725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 2*t + 17. Suppose 0 = -7*x + t*x - 4302. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 30. Let s be -1 + (-4)\/(-4) - d. Let g(m) = -m**3 - m**2 + 3*m + 39. Does 33 divide g(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.033294 less than -2514889?\nAnswer: -2514889.033294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 4*p = -8, -4*f + 0*f - 8 = 5*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-8 + 2 - (-114 + 63)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19\/332 - 1129\/2324. Let b = -33 - -32.9. What is the nearest to 1 in f, -0.5, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2. Let t(m) = -1228690*m - 6. What is t(a(w))?\nAnswer: 2457380*w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933722?\nAnswer: 2, 97, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g**2 - 21*g**3 + 8*g**2)*(-6*g + 2*g + 2*g) - g**4 + 5*g**3 - 5*g**3.\nAnswer: 41*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427 = -4*v - 4*b + 583, 87 = 9*v + 3*b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25046.05 + -24340. Let y = i + -706. Which is smaller: y or 27?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 120, 195, 278, 369, 468, 575?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -222020210 (base 3) to base 11\nAnswer: -13418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13399077 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -166*11\nAnswer: -1826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 63. Let u = t - -56. Let y = u + -19. Which is the closest to -2\/3? (a) 0 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (2 + -4 + 2). Suppose d = -4*b - 2 + 6. Let i be b\/(3\/((-3)\/(-1))). Which is smaller: 3\/5 or i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(4)*-3)\/(-6*4*sqrt(9)).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1770676694 to the nearest integer?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p. Let m(w) = -459*w**2 + 919*w**2 - 459*w**2. Calculate m(l(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9061b6 (base 16) in base 3?\nAnswer: -122210201200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 449058482 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15993228983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 5852943405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*v = -90*v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 4:01 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 19\/5, -10, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 10.5. Let w(r) = r**2 + 1172*r + 8156. Let o be w(-7). What is the smallest value in -4, j, o, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f, -i - 4*f + 6 = 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 561662 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -12674.8625856\nAnswer: 12667.8625856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000045845 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2. Let y(r) = 2. Let o(x) = 3. Let j(a) = 3*o(a) - 4*y(a). Let m(k) = -17*k + 3. Let c(n) = -3*j(n) + m(n). Give l(c(d)).\nAnswer: 578*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Suppose 227*p - 8428 = 55*p. What is the remainder when p is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 0*b**2 - 3*b**2 - 4468 + 4468. Let i(s) = -26*s**2. What is i(c(u))?\nAnswer: -234*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*h + 15 = 53, 0 = -j - 4*h + 18. Calculate the remainder when (-1)\/(((-8)\/134)\/4) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 90353916*o + 1020478767066882.\nAnswer: 2*(o + 22588479)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -1991*i**7\/210 + 7*i**4\/4 + 4*i**3 - 3794*i**2. Find the second derivative of d(t) wrt t.\nAnswer: -23892*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/(-18) + 4 - 10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 j when four letters picked without replacement from kkkkjkkkkjjkkkkjkkjk.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a century in years?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 242 * 36600\nAnswer: 8857200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.059593 to two dps.\nAnswer: -3.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 101426358 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3.3 (b) 0.0497 (c) -10\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.355 + -0.155. Let q = p + -19.67. What is q rounded to one dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {t: 1, a: 17}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + n**2 + 255*n - 941300. Let a be g(0). What is a rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 - 0.03. Let f = -14 + 24. Let s = -7 + f. Which is the nearest to 2\/3? (a) 2\/11 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 308 - 304. Suppose -5*c + 11469 = -2*k, -3*c - 7*k + q*k + 6873 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**2*g*g)\/g)**49*g**19*g**(-6) assuming g is positive.\nAnswer: g**209","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**5 - 478*o**4 + 456*o**3 + 10018*o**2 - 457*o - 9540 = 0?\nAnswer: -4, -1, 1, 5, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3 = -3*q, -3*v + 102*q + 5 = 97*q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2736510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -282 (base 12) to base 6\nAnswer: -1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 767 + 22?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13025 and 308525780.\nAnswer: 2605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c7b + 48b?\nAnswer: 8328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 1:36 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1354*k**3*w**3 - 2007*w**3 wrt k.\nAnswer: 4062*k**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 10*k**2 - 29*k - 99. Let y be i(-8). Solve -y*q - a = -23, 0 = 2*q - 4*a - 2 + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 5310.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 43\/9 + 4\/18. Let z(h) = 2*h + 0*h - b*h. Let d = 2 - 1. Calculate z(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001111001110110 (base 2) to base 16.\nAnswer: -19e76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34272, -137267, -308938, -549291, -858332?\nAnswer: -1236067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -595, -2\/5 in ascending order.\nAnswer: -595, -2\/5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzvzzvzzzzzzzvzzv. Give prob of picking 4 z.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*(-27)\/(-36)*7036\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1955084627.9998883 - -1955084775. Let y = w + -147. What is y rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 24. Let v be -5*4*3\/(-210). Which is the second smallest value? (a) -2 (b) v (c) -5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 558.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-104 + 1 + 2)\/(-1). Let z = 37 + u. Let q = z + -90. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*((-92)\/(-16) - 6). Solve -3*i - 2*d - d - 15 = u, d - 3 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -12*h + 2. Let r(q) be the first derivative of q**4\/4 + 8*q**3\/3 + 7*q**2\/2 + 1. Calculate the remainder when r(-5) is divided by f(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c + 11. Suppose -2*g = g - 33. Let a(h) = -2*h + 4. Determine g*a(d) - 4*k(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + m**2 - m + 1. Let u = 26 + -17. Suppose 6*p - 2*p = 36. Let f = p - u. Calculate j(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4831075 is divided by 2266.\nAnswer: 2229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -25. Calculate the greatest common divisor of 35 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2 = h + 2, -2*a + 31 = 5*h. Find the first derivative of -a + 12 + 10*c - 4*c wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -w + 150. Suppose 28*a + 28 = w*a. Let h = 40 + -36. Solve h*j + l = -13, j - 4*j + a = -4*l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 - 94. Suppose 7 = -c - 2*n + 4, k = c - 3*n. Solve 0 = 4*l + c*r - 4, -4*r = 5*l + 3 + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 14*g + 5. Is x(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/403777 and 105\/19646.\nAnswer: 15343526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2265984 and 4648?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**5 + 17036*f**2 - 1703*f?\nAnswer: -40*f**3 + 34072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 + 8*a - 3. Let q(u) = -2*u**2 + 7*u - 3. Let n(w) = -4*q(w) + 3*t(w). What is the lowest common multiple of n(-3) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 795.4873 micrometers in meters?\nAnswer: 0.0007954873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141500 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 3*k + 1. Let p be x(-2). Suppose p*d = 31 - 4. Calculate the remainder when 35 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 + 1.2. Let s be (-3)\/9 - 2\/4. Let r = 19076 + -19075.5. What is the closest to t in -2\/13, r, s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -272 + 276. What is the lowest common multiple of 104 and w?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3681.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 400, 2047, 4934, 9055, 14404, 20975, 28762?\n\"Answer: -h**3 + 626*h**2 - 224*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 8. Let c be 4\/(-6) + (-6)\/(-9). Suppose -o + 2 = 2*u, -10 = -5*o - 10*u + 8*u. Suppose -3*m - 14 - 10 = -o*x, 2*x + 5*m + 8 = c. Give p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 at least as big as 263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 + 4*t**2 + 0*t**2)*(t + 0*t - 8*t + (0*t + 0*t - 2*t)*(1 - 5 + 2) + 4*t + t - t) to o*t + a*t**3 + q + g*t**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 331170 at least as big as 331171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1562 - 3974 = -9*y. What is the first derivative of 132*t**2 - y*t**2 - 4 + 139*t**2 wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1272*o + 1840 = -1192*o for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1005132 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 + 40*a**2 + 124*a + 319. Give z(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*(-3)\/6)\/((-12)\/90)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -338334 + 1.699?\nAnswer: -338332.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 6*t**2 + 7*t + 4. Let i be p(-7). Suppose -7*x + 3*x - f = -893, -i*x - 2*f + 894 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 7 = 2*g, 0 = 3*c + 21*g - 16*g - 12. Let m = -3 - -2. What is the remainder when 21 - (m\/c - 3) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1083*a - 2171*a + 1081*a - 1 + 2*a**2 + (5 + 0 - 3)*(-3*a**2 + 0*a + 0*a) - 1 + a**2 + 1.\nAnswer: -3*a**2 - 7*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yny when three letters picked without replacement from ynnnyyyyyynnnyyyyyn.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6656153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j**3 + 3*j**2 - 7*j. What is a(3)?\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8205, -8236, -8335, -8538, -8881, -9400, -10131?\n\"Answer: -6*b**3 + 2*b**2 + 5*b - 8206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*3*1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 160, 356, 628, 976, 1400, 1900?\nAnswer: 2476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -3)*0 - (-1 - -1). Let q(z) = z + 20. Let o be q(b). Solve -5*w + o = -2*t, 3*t - 4*w + 16 = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80613 - 17583.1?\nAnswer: -98196.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 - 96*t**2 + 247*t**2 - 121*t**2.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, n: 2, h: 3, t: 2, k: 1, y: 4}. What is prob of sequence htk?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 6, a: 3, m: 2, x: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**2 - 18*l + 10. Let y(c) = 17*c**2 + 35*c - 22. Determine 7*n(o) + 3*y(o).\nAnswer: -5*o**2 - 21*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*24\/(-16))\/(48\/96).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3\/2 - 36722909*t**2\/2 + 6120486*t + 12240970 = 0. What is t?\nAnswer: -12240970, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17628 or -17627?\nAnswer: -17628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2. Let s(r) = 152*r + 209. Let q(i) = 1. Let p(c) = 418*q(c) - 2*s(c). Calculate p(d(b)).\nAnswer: 304*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 111110000100011000101 (base 2) to base 12\nAnswer: 821005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23052*n**4 - 51812*n.\nAnswer: -276624*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 less than -5304317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150275083 - -3757495536\/25. Let h = -24749 + v. Let q = h - -4\/25. Find the common denominator of 37\/11 and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.043, -4, 0.5, 0.06, 2, 17.\nAnswer: -4, 0.043, 0.06, 0.5, 2, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/(10*20\/(-200))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z**3 + z**2. Let j(c) = -36*c**3 - 6*c**2. Give 2*j(q) + 11*k(q).\nAnswer: 5*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -670*i**3 - 1012*i**3 - 812*i**3.\nAnswer: -2494*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -370b2c (base 15) to base 14.\nAnswer: -4c83d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 26.1748?\nAnswer: 28.1748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 277a + 0?\nAnswer: 277a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.073 - 0.827. Let q = 37.234 + r. What is q rounded to two dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-132)\/(-10))\/(16\/40). Let z be (24\/(-10))\/(t\/(-110)). Is 6 a factor of 58\/8 - 2\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -678*w. Let y(i) = -2*i**2. Give y(t(n)).\nAnswer: -919368*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-79*w - 306*w - 41*w)*(-2 - 14*w + 2) to the form d*w + l*w**2 + u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -19, 6 in decreasing order.\nAnswer: 6, 3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613 = -o - 3*d, 0 = -o - 2*d + 953 - 340. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11 - -19.11. Let f = m - 18.9999943. What is f rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2444243 (base 5) to base 2\nAnswer: 1011011011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 5. Solve 2*q - z + 6 = q, -3*z = -h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, l: 1, q: 1, k: 1, f: 3}. What is prob of picking 1 q, 1 l, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 212.\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53.25 + 0.25. Let j = 4327.5 - 4412. Let c = t - j. Round c to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 11*j**2 - 9*j - 5. Let q be (-4 - (-45)\/10)*20. What is k(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 475, 734, 1007, 1294?\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 848006729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1465.09788 - 19.6.\nAnswer: 1445.49788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 23101120303133?\nAnswer: -23101120303123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157228*r = 157015*r + 10863 for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 129*p + 17. Let z(n) = 43*n + 6. Let i(g) = 4*u(g) - 11*z(g). Let v be i(1). Solve -s - a - 20 = 2*s, v = -5*s - 4*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -9, -2 in decreasing order.\nAnswer: 4, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - w**2 + 8*w - 13. Let f(q) = -q**3 + q**2 - 4*q + 7. Let r(g) = -11*f(g) - 6*h(g). Determine r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 89, -13, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 80*h + 1317. What is g(-17)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 u, 1 s, and 1 g when four letters picked without replacement from {u: 1, g: 1, j: 4, f: 1, s: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Let y be ((-2)\/(-1))\/(2\/5). Suppose -2*z = n - y. Solve 4*o = -z*m, -3*m = -2*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3780 and 5336415.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 50 + 174 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**2 - 11*z - 11. Suppose -4 - 15 = 4*f - x, 4*x - 4 = 4*f. Let c(l) = 3*l**2 + 6*l + 6. What is f*g(b) - 11*c(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.4, 0.4, -5, 0.03 in descending order.\nAnswer: 0.4, 0.2, 0.03, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1529418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**0*c*c)\/c)**33*(c**(1\/4)\/c)**(-2\/5)*(((c*c**(-3)*c)\/c)\/c*(c**(-2\/5)\/c)\/c)**(-6\/19) assuming c is positive.\nAnswer: c**(19191\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380 and 204?\nAnswer: 19380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 136149.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + (2 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 870991 + 0.08656117.\nAnswer: 870991.08656117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - -6. Let a = k - 14. Find the third derivative of 5*m**2 - 8*m**5 - 3*m**a + 5*m**2 wrt m.\nAnswer: -480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13402 (base 7) to base 4.\nAnswer: 320230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1311\/(-92))\/57)\/((-15)\/(-4)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*x + 9. Let d be 6 - ((-5)\/(-15) - (-2)\/x). Suppose 0*m + 2*m - 20 = 2*f, -3*m = d*f - 70. Solve 2*q + 3*q = 4*t - 41, 0 = q + 5*t - m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (272*d - 21 + 24 - 103*d)*(-2 - 10 - 1 - 8).\nAnswer: -3549*d - 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 5:02 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.502 + -7.24. Let z = h - 0.94. Let c = -0.008 - z. Round c to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (648\/516)\/(-18)*(-4)\/(-18)*3?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274048604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 386\/7 (c) -97 (d) 2\/7 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83385 is divided by 3474?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17931, -35862, -53793, -71724, -89655, -107586?\nAnswer: -125517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*y - y = -280 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155546939?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.477 and -3852.\nAnswer: -3860.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 10 + 10.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.03, -94\/3, 9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/14)\/(w\/(w*w\/w**(-1\/54))) assuming w is positive.\nAnswer: w**(152\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 11:08 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 513 and 7.\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20855 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 368.5131mg to nanograms.\nAnswer: 368513100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgg when three letters picked without replacement from qqgggggqggg?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571773288 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1144)\/(-208))\/((-44)\/248)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2322)\/645*(35\/8)\/((-7)\/28)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -467 + 467. Let z(u) = -u + 3. Let t be z(1). Sort g, 35, t.\nAnswer: g, t, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.05, 10 in ascending order.\nAnswer: 0.05, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*k - 295 - 40 + 29. Let t = 3 + -5. Calculate the remainder when (14\/t)\/((-2)\/10) is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 15*r**3 - 3*r**2 - 29*r - 63. Let i(n) = -13*n**3 + 3*n**2 + 26*n + 54. Let p(f) = 6*d(f) + 7*i(f). Give p(6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13619.9 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/(-10) - (-8)\/(-20). Let y = -20334 - -20329. Sort 5, j, y, 2\/13 in descending order.\nAnswer: 5, 2\/13, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1667 - -1667.4097. What is t rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 45 = 2*a, 6*a - 2*a = 2*s - 18. Let j = s - 1. Differentiate j*r + 6 + 3 - 10 with respect to r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -8. Let h = 83.1 + -83. What is the nearest to h in u, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822261 is divided by 123.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.90648594 to 3 decimal places.\nAnswer: 0.906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**6\/24 - 7*c**5\/30 - c**4\/2 + 32*c**3\/3 - 159*c**2. Is z(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90230 + 90233. Let 22*q**4 - 72\/11*q + 336\/11*q**2 + 0 - 46*q**h = 0. Calculate q.\nAnswer: 0, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-15 - ((-9 - -3) + 46 + -36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q - 174 = 44*q. Let h = 54 + q. Let z(v) = -v**2 - 4*v - 1. Determine z(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68*4\/(-60))\/(((-216)\/(-270))\/((-2)\/1))?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74140822, -148281636, -222422460, -296563300, -370704162?\nAnswer: -444845052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3879 and 21189684?\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 5*u = 0. Let p(g) be the first derivative of 0*g**4 + 2\/25*g**5 + 2\/5*g - 4\/15*g**3 - 3 + u*g**2. Factor p(c).\nAnswer: 2*(c - 1)**2*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/30)\/((-4)\/40). Solve n = -2*q + f - 5*f, 0 = 5*q - 5*f + 25 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15731*q + 15951*q - 440 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/84 and -35\/1572.\nAnswer: 11004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 473 - 464. Solve 2*k - i = j, -k + 7 = -3*j + 5*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 526413848 to the nearest integer?\nAnswer: 22944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/22)\/((-3)\/12). What is the nearest to -2\/7 in 3, l, -1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 408*t + 454016. What is a(-500)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-2)\/(-8) - 375\/(-100))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*f - 3*s, 3*f + 4*s - 52 = -32 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/2 + (-1)\/2. Let x(q) = -r - 2*q + 6. Let j(h) = h**2 - h - 1. Let p(s) = -6*s**2 + s + 1. Let d(l) = -j(l) - p(l). Calculate x(d(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -15*p - 203. Let s be l(-16). Suppose 12*c = -s*c + 15533. What are the prime factors of c?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -101, 0.2, 2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/132 and 113\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239 = 47*n - s - 10, 492*n - 4*s + 21 = 483*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**7\/7 + 8*d**6\/15 + 22*d**3 + d**2\/2 - 5*d + 74. Find the second derivative of s(g) wrt g.\nAnswer: -120*g**3 + 192*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 37*y. Calculate x(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9073 = 15*h - 98852 + 19860. Is 103 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/216 and 93\/16?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 310176 to the power of 1\/2, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14*j**2 - 8*j + 2. What are the prime factors of k(3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 271837761?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5 - 1. Let c be ((-6)\/(-4))\/(h\/8). Suppose -2*u = 5*k - 4, 4*k = -c*u + u - 1. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -366a0a + 0?\nAnswer: -366a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 41699, 41723, 41747, 41771, 41795?\n\"Answer: 24*f + 41675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3212*b**5 + 21*b**2 - 54 wrt b.\nAnswer: -192720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 311*f - 162 wrt f?\nAnswer: 311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 94 = 29*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1162809*-445\nAnswer: 517450005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + -424?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3788171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77522?\nAnswer: 2, 83, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8883017 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(3\/63)*(-137)\/(-411)*-14\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 626599\/4, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.5 - 1.5. Which is the biggest value? (a) 4\/7 (b) y (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -6632 + 957. List the prime factors of w.\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 20 + 58 = -o - 26, 25 = 3*o - 4*n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275950454?\nAnswer: 2, 13, 10613479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*o**4 + 4360*o**3 + 2235*o**2 - 1930*o + 275 = 0.\nAnswer: -1, 1\/4, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*z + 4 = -3*d, -d + z - 2 = 0. Let o = 10.34 + -5.27. Let m = -5.37 + o. Sort -1, m, -1\/6, d in descending order.\nAnswer: -1\/6, m, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:45 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -187, 196, 573, 938, 1285, 1608, 1901, 2158?\n\"Answer: -t**3 + 3*t**2 + 381*t - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3123 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-15))\/((-17)\/(204\/(-24)))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 718*f - 716*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 127, 4, -23 in increasing order.\nAnswer: -23, -1, 1, 4, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 22041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3978906 is divided by 1326299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**5 - 9*p + 2. Let c(m) = m - 1. Let w(x) = 2*c(x) + l(x). Find the second derivative of w(s) wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**4\/12 - s**3\/2 - 3*s**2. Let y(i) = 1 - i + 0*i - 2. Let o(q) = -d(q) + 3*y(q). Let x(t) = -2*t. Calculate x(o(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:51 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*-4*(-17)\/68.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12985076?\nAnswer: 2, 13, 17, 37, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.3 + 48. Put 0.4, -1, g in descending order.\nAnswer: g, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 15. Let b(a) = -a - 1. What is -b(g) + f(g)?\nAnswer: -2*g - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f = 27*f - 70500. Suppose -2*n = -4*a + f, 4*n - 14120 = -4*a + n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 - 81. Suppose p*b + 3*t - 44 + 11 = 0, 4*b + t = 44. Calculate the highest common divisor of b and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1221*r - 12154 = 299*r + 11234 + 30088 for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 20 (c) 47 (d) -0.2 (e) -3302\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 33 - 147 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00237 to four decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.06 - -7. Let v = p + 0.06. Let s = v - -4. What is the second biggest value in -1, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 7*m + 33 = 0. Let b be (-2)\/m + (-154)\/(-42). Suppose 3*i + 2*r = 30, -2*i + 28 = 3*r + b. Solve -16 = -i*t + 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -72.408\nAnswer: 868.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5. Suppose -3*i + u = -6. Solve -i*q = -5*d + 7, -3*d + 12 = d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y - 56. Are y and -14 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51*b**2 - 88*b**2 - 63*b**2)*(-30 + 30 - 14*b) in the form k + s*b**2 + l*b**3 + d*b and give l.\nAnswer: 2828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(4\/(-112)*(-182)\/52).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 45 = 3*z. Let h be 13\/65 - 33\/z. Let s(q) = -4*q**3 + 2*q**2 + 4*q + 2. Give s(h).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128\/(-546) + 8\/28 - (798672\/(-13104) - -36).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-3)*(1548\/301)\/(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001280958 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v + 2. Let j(o) = 11*o - 3. Suppose -6*r + 0*r = -42. What is r*t(u) + 4*j(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 191 and 31081405919.\nAnswer: 31081406110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = 10*r - 119. What is the remainder when r is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.99 to 1 dp.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -6. Suppose v = r + 10. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/32)\/(750\/(-792) + 1) and -145\/96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 3*q, z + 1 = 2*q - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004424 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 97200702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -969164246*x**2 - x + x - 969164256*x**2 + 1938328505*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 5*i**2 + 3*i - 3. Let m(s) = -3*s**3 - 10*s**2 - 6*s + 7. Let p(w) = -3*m(w) - 5*u(w). Calculate p(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 66 = 4*y, 2*y + 2*y + a = -63. Let r be 3\/(-2) + -1 - (-2061)\/1374. Put y, r, -5, 8 in ascending order.\nAnswer: y, -5, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 51*y - 313. Let j be p(6). Which is bigger: -19 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:00 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*t - 342*t + 106*t + 126*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437248 a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.647 - -7014625055.\nAnswer: 7014625055.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, 7, -6, -5, 0.7, -6316?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 109*y**2 + 329*y + 9554. What is l(105)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.25 + 2.\nAnswer: -18.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.38 and 0.9.\nAnswer: -3.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 - 4*o**2 + 2*o**2 + o**2 - 4*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -86 or -89?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -686.\nAnswer: -29\/686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j**2 - 23*j**2 + 6*j**2 + 6*j**2.\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - g - 12. What is p(-5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -97736240 divided by -6981160\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 85d (base 14) to base 5\nAnswer: 23101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7\/4)*s)**(-46)\/(s**(-1))**(5\/4) assuming s is positive.\nAnswer: s**(143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**4 - 65*a**3 - 1505*a**2 + 65*a + 1500 = 0?\nAnswer: -12, -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329, -321, -301, -263, -201, -109?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1762 + -17637\/10. Let l = 169434\/37 + -4579. Find the common denominator of c and l.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 - 1266.06.\nAnswer: -1107.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 794310 bigger than 12708955\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 42 = -0*r - 3*k, -43 = -5*r + 2*k. Suppose r*d - 6*d = 156. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -108212, -216429, -324646, -432863?\n\"Answer: -108217*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -3 - -2 - -67. Let h = m + -43. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/3)\/((-2)\/27). Suppose b + j = 2*b. Calculate the greatest common factor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 50) + -8 + 65.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**5\/10 - a**4\/2 - 10*a**3\/3 + 982*a. Factor y(i).\nAnswer: 2*i*(i - 5)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-20 - -16) + 8 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 132158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/3 - 1868952*x**3 + 1746490789152*x**2 - 544017908894534784*x.\nAnswer: 2*x*(x - 934476)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 22*k - 46. Let p be r(20). Let i(w) = -2*w - 9. Let c be i(p). What is the closest to 1\/2 in 5, c, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a second in milliseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a - 1\/6*a**5 - 179\/210*a**7 - 8*a**2 + 1\/3*a**3 + 0*a**4 + 0*a**6 + 18. What is the third derivative of u(v) wrt v?\nAnswer: -4296*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*t + 2 + 76*t - 139*t.\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 14 = -2*r + 5*n, 4*r = n + 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 283?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1361322836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 + 1)*(v**2 + v**2 + 4*v**2) - v**2 + 0*v**2 + 2*v**2 + (1 - 2 + 0)*(v - v - 2*v**2) + (v - 1 + 1)*(-4 + 4 - v) - 39 + 5*v**2 + 39.\nAnswer: 43*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -514.03 * 7.\nAnswer: -3598.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.2 (c) 3\/8 (d) 9 (e) 132\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*q + 1. Suppose 0 = 4*n - l - 35, -2*n = n - l - 25. Let j(o) = o**2 - 10*o + 4. Let g be j(n). Solve -2*w - q = -c, 4*c - 22 = -g*w - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/107 or -1?\nAnswer: -12\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 468001.9km in meters?\nAnswer: 468001900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.44999739 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 8. Suppose -8 = 5*c + 3*p, -5*p = -4*p - 4. Let i be z(c). Suppose -12 + 128 = i*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*k - 10, k + 2*r = -k + 8. Suppose 174 + 207 = k*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 236, 430, 674, 968, 1312, 1706, 2150?\n\"Answer: 25*j**2 + 119*j + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) -1 (c) 2\/81 (d) -72 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96331280, -192662558, -288993836?\nAnswer: -385325114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -23, -69, -135?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 2\/9 (c) 2817 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1433 (base 5) to base 14\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02546 - -0.19324. Let u = y + -0.22. Round u to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.01, -0.3, 22?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -233 - 6918?\nAnswer: -7151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 14*o - 5. Let k be p(-12). Suppose k*y - 13650 = -16*y. Does 33 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12449 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.10809 - -2.30809. Put -3, z, -2 in decreasing order.\nAnswer: z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*d - 119*d - 128*d - 131*d - 94*d + 590*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 770?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + p + 2)*(0 + 1 - 3)*(-16*p**2 - 11*p**2 + 29*p**2).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5 - 4*x**4 + 20*x**3 - 12*x**2 = 0. Calculate x.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7042458 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40092, 40118, 40144, 40170, 40196, 40222?\n\"Answer: 26*g + 40066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**3 + 2*y**2 - 6603*y + 32377?\nAnswer: -6*y**2 + 4*y - 6603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 3*z**2 - 3*z - 4. Let m be 96\/5 + 8\/(-40). Let o = m + -5. Let i = o + -11. What is c(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a year in months?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/115259 - 10371218\/60280457. Let c = -58627\/9414 - n. Let v = 9802 - 156765\/16. Find the common denominator of v and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120637 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from hwhhkyuyuwhakkkkh?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2893.9368 months?\nAnswer: 24.11614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1024770 divided by -33\nAnswer: 341590\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 3 + 7\/16*k**4 - 1\/2*k + 11\/8*k**2 - 4\/3*k**3. Factor c(a).\nAnswer: (a - 1)**2*(7*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4\/8 - y**3\/2 - 11*y**2\/8 - 3*y\/4 = 0. What is y?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 1. Let f(u) = -15*u - 11. Let p(t) = 2*f(t) - 22*j(t). Let m(i) = 2*i. Give p(m(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 45 + 9\/2*w**3 + 3*w**2 + 0*w - 97\/60*w**5 + 133\/48*w**4 + 7\/240*w**6. Factor t(j).\nAnswer: (j - 27)*(j - 1)*(7*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2*n - 7 = -5*n, 3*n = 3*b + 27 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2264.1 + -1941. Let w = g - 323. Put w, 1\/3, 2\/15 in ascending order.\nAnswer: w, 2\/15, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1432, 1434, 1436, 1438, 1440, 1442?\nAnswer: 1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37762 - 37762. Which is the third biggest value? (a) x (b) 0.5 (c) 8 (d) 128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2.75 (b) -459 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 1, z: 6, o: 6, d: 1, j: 1}. Give prob of sequence azj.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 840289*t - 1189324 wrt t?\nAnswer: 840289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -54.4. What is the biggest value in 4, w, -0.5, -0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6301 is divided by 242.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(-51 - 2*a - 99 + 182) - 37 + 37 + 16*a.\nAnswer: 20*a - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1008, 2625, 4998, 8505, 13524, 20433, 29610?\nAnswer: 41433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 times 3?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**11\/l*l)*l)\/(l*l*l\/l**16) assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 614.891854 to zero decimal places.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -2*d**6\/9 + 8*d**5\/15 - 8*d**3\/9 + 2*d**2\/3 - 15. Factor o(b).\nAnswer: -4*b*(b - 1)**3*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171170060 to the nearest integer?\nAnswer: 13083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 10 = -8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(((g\/(g\/(g*g*g**(-2))))\/g)\/g))*g)**(-19\/3)\/(g\/(g**1\/g))**(-12\/5))\/((g**(1\/5))**(-27)*(g*g\/g**(1\/9)*g)\/g*g*g*g**(-2)*g) assuming g is positive.\nAnswer: g**(221\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3074 - -404. Let g = 62 - 59. Is i\/(-3) + g\/1*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -255 + 258. Let w = -1654 - -1650. What is the closest to w in -2\/7, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-796)\/462 + 2 - (-8)\/(-84). Which is the second biggest value? (a) 16 (b) 1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r - 11. Let x(z) = z. What is x(q(b))?\nAnswer: -9*b - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2178)\/(-44)*2\/3. Suppose h - k = 34*h. Let m(q) be the first derivative of -7*q**4\/2 + q**3\/3 + 1. Calculate m(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1299 - 2?\nAnswer: -129b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4601083909 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -45629867006421.\nAnswer: 45629867006426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -206156 + 26?\nAnswer: -206130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(720) + -3 + sqrt(720) - sqrt(720)) + -3 + (sqrt(720) + -3 + sqrt(720) - sqrt(720)))**2.\nAnswer: -480*sqrt(5) + 2980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/25 (b) 0 (c) 62 (d) -0.052 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -113567*q + 794973. What is j(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10158968.\nAnswer: 2, 1269871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.33 * 61.\nAnswer: 203.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235, 259, 297, 349, 415, 495, 589?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*q - 3*d, 3*q - 7*q - 3*d = 23 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 27. Let m(z) = z**3 + 6*z**2 - 4*z. Let v be m(-6). Suppose u*w - v = -4*w. Calculate the highest common divisor of 48 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -113236 and -113101 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g + 14*g - 7*g + 9*g + 8*g. Calculate v(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 4*i**2 - 3*i. Let u be c(3). Suppose 8 = -u*k + 4*k. Is 19 + (0 - k*-1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/10)\/(12\/424). Let x = 98 - i. Let z = 114 - x. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (13 - 8)) + -11 + 16 + 32\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**5\/30 + 23*q**4\/24 + q**3\/2 - 11*q**2. Let d be g(-11). Is (-4)\/d*4*4 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*t = -130*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from {p: 1, z: 1, v: 2, k: 2, c: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49032721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**4 + 10*s**3 - 2080*s?\nAnswer: 36*s**2 + 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 353965 = 3*f + 40791, 5*f + 187952 = 3*j. List the prime factors of j.\nAnswer: 62639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*z - 4919 - 29511 = 0, 4*m = 4*z + 68860. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44578154*-1.1\nAnswer: -49035969.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3946892\/117 + -33734. Find the common denominator of o and 1\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2. Let z(i) be the second derivative of 17*i**4\/12 - 25*i. What is z(l(c))?\nAnswer: 17*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 1:59 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**3\/3 + 5*d**2\/2 + d + 7. Calculate z(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 1533601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 23*h + 1185. Calculate y(-53).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7038 and 1.\nAnswer: 7038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 8*s + 0*s**5 - 2 - 1\/14*s**7 + 3\/2*s**4 + 0*s**3 + 0*s**6 + 0*s**2. What is the third derivative of d(m) wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33163, 33195, 33227, 33259, 33291, 33323?\nAnswer: 33355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -33. Let c = p - -20.8. Let u = 4.2 + c. What is the third biggest value in -2, u, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56.1 - -5.9. Let f = 61.88 - v. Let w be ((-325)\/(-55))\/(-5) + (-4)\/(-22). Which is the nearest to w? (a) f (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*o**2*u**2*x**2 - 4*o**2*u**2*x + 5*o**2*u - 2*o**2*x**2 - 7*o*u*x - 2*u**2 - u*x**2 wrt u?\nAnswer: 114*o**2*x**2 - 8*o**2*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**5\/20 - 89*z**4\/8 - 44*z**3 + 13*z**2. Find o such that v(o) = 0.\nAnswer: -88, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149 + 222 - 115)*((-3 - 1 + 2)*(6*z**3 - 6*z + 6*z) + (-1 + 1 + 2*z**2)*(-2*z + 1 - 1)).\nAnswer: -4096*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 17.038. Let i = j + 1.418. What is the third smallest value in i, 0.4, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254227601 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/((-1)\/(-2) + 1). Let v be 189\/15 + z\/(-15). Solve 2*p - v = -3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + j**2 + j + 1. Let x be 0 + 0 + 0\/(-3). Calculate y(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338, 1436, 3386, 6278, 10202, 15248, 21506?\nAnswer: 29066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 5 - (1 - 4). Let q = y + 25. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/27)\/((-42)\/15).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2489, 4968, 7453, 9950, 12465?\n\"Answer: w**3 - 3*w**2 + 2481*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.06, 2\/7, 4\/365, -5.\nAnswer: -5, 4\/365, 0.06, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 8. Suppose -2*s + 14 = g, 4*s - 4*g = 55 - 3. What is the second derivative of -5*c**h - 6*c - c + s*c wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.41417975 rounded to 2 dps?\nAnswer: -6.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/17)\/(((s**(1\/12)\/s)\/s)\/s))**28 assuming s is positive.\nAnswer: s**(3997\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 5283174\nAnswer: -5283178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 41. Suppose 20 = -12*s + o*s. Suppose 3*u - u + 4*a - s = 0, 4*a - 28 = -5*u. What is the smallest common multiple of u and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)\/(a\/((a**3\/a*a)\/a*a)))\/(a**2*a**(-3)) assuming a is positive.\nAnswer: a**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-497)\/(-15) - (-6)\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 316313, 313442, 310571, 307700, 304829?\n\"Answer: -2871*r + 319184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/30)\/(4\/10)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 9*m**2 + 5*m + 26. Let z be c(8). Let d(k) = 67*k**2 + 0*k + 0*k - 109*k**z. Let u(q) = 45*q + 40*q - 86*q. What is u(d(b))?\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3725 + 0.1825. What is the closest to 1\/2 in 0.2, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 12*r**2 + 2*r + 1558. Let t be p(0). Calculate the greatest common divisor of 304 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**3 - 32*g**2 - 340*g - 7915. Calculate i(-15).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 1688 - 1708 = 3*n - 7*n, 0 = -n - 3*o - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -235*2\/(-15)*3. Round y to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24703835 divided by 4940767\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3247 and 10314?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3 - 2*u**2 + 4*u + 8 = 0. What is u?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 6*k**2 - 30 - 2*k + 53 - 24. Let u(y) be the first derivative of -17*y**3\/3 - 3*y**2\/2 + 3*y - 4. What is -4*u(t) - 11*v(t)?\nAnswer: 2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - j + 36*j**2 - 76*j**2 + 38*j**2 - 2*j**4 as q*j**2 + b*j**3 + m + v*j + a*j**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1833*i - 2489*i + 25584 = 0 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 - 16*l - 10. Suppose 0*n = 2*n - 16. Suppose n*f - 9*f = 7. Let t be z(f). Solve x - t = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51920.69 decades in centuries?\nAnswer: 5192.069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 0*a + 3*a + 2*a + 3*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -888 - -402. Let y be (-2)\/4 + n\/(-12). What is the greatest common factor of y and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/20 - (-62)\/24. Let r(y) be the third derivative of -5*y**2 + 0 + 0*y + j*y**3 - 1\/8*y**4. What is the first derivative of r(t) wrt t?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 5:07 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*(0 + sqrt(7)) + sqrt(7) + -4.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.348 - 0.46. What is v rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.073575 to 4 dps.\nAnswer: -0.0736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -223 - 172?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -198 + 18*q + 4*q**3 + 1\/4*q**4 + 29\/2*q**2. Let p(r) = 0. What is r?\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 44 = -2*y + 3*m, 0 = 4*y + 4*m - 128. Suppose 30*v = y*v + 4. Suppose 0*q + 3*q = v*q. Solve q = -3*f + 5*l - 34, 2*l = f + 5*l - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 35. Suppose l = -0*l + u. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18592?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 4, 0.06, 0.05, -40, 1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2755 = -8*l + 13*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence accc when four letters picked without replacement from {f: 6, a: 2, c: 4}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1054 + 1080. Solve 92 = -22*c + x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -11. Solve 4 = -k + 2*k, 0 = -x - 2*k + m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10139 divided by -10139.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5144675 divided by 2.\nAnswer: 5144675\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 28. Let l = 20 - u. Let q = -1\/1424 - -713\/1424. What is the second biggest value in -0.1, l, -0.4, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3406 and 21746.\nAnswer: 282698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -2422211?\nAnswer: -2422213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5401801448 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: Find the second derivative of -7*k**3 - 34264*k**2 + 996965*k wrt k.\nAnswer: -42*k - 68528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78853 + 105397 = 11*s. Let g = s - 10439. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4))**(2\/3)\/(l**(18\/7)*(l*l**(-7\/9))\/l*l) assuming l is positive.\nAnswer: l**(-344\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 255*v = -4840 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -29. Suppose i = u + 4*h, 3*u = -h + 7 + 13. Factor 2\/5*t**3 + 0 + 0*t**2 + 2*t**4 + 0*t + 8\/5*t**u.\nAnswer: 2*t**3*(t + 1)*(4*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5 = 11. Let s(q) = 4*q**2 + 11*q - 11. Let v be s(-5). Suppose -5 = -3*d - 4*h + 5, 4*d - 5*h = v. Calculate the least common multiple of d and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7015719?\nAnswer: 3, 97, 24109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 12 - (3 + -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 613943 and 2233.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7)\/v)**(-7)\/(v\/((v\/(v\/(v**0*v)))\/v))**(2\/19) assuming v is positive.\nAnswer: v**(93\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 1741. Calculate f(95).\nAnswer: -1551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/15)*i\/i**(-5))**(-1\/4) assuming i is positive.\nAnswer: i**(-107\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -199*u + 1346. What is the tens digit of h(-43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**2 + 6*a - 58. What is the smallest common multiple of 22 and g(11)?\nAnswer: 8074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196491 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955736064 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 1199 = -14*h - 153. Suppose -v = 2*v - 183. Let m = v - h. List the prime factors of m.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/54)\/(6\/(-9)). Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -6. List the prime factors of (-4 - -18)\/(-1 - q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001098 rounded to five dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p**3 + 7*p**2 + 2*p. Let l(w) = -3*w**3 + 3*w**2 + w. Suppose 3*v + 250 = -34*v - 13*v. Calculate v*l(m) + 2*a(m).\nAnswer: m**3 - m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 8, n: 2, u: 2}. What is prob of picking 1 u and 1 f?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 125. What is the remainder when q is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96876739 to the nearest integer?\nAnswer: 9843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**4\/18 - i**2\/3 + 4*i\/9 - 4. Factor m(n).\nAnswer: 2*(n - 1)**2*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-2))\/((-12)\/64). Let g(m) = m**2 - 18*m + 27. Let o be g(16). Let b(h) = 14*h + 12. Let d(v) = 9*v + 8. Let x(a) = o*b(a) + r*d(a). Give x(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/33)\/((-1)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011446819 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 30\/5 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(2\/5))*d)**(-26)\/(d*d**(-1\/2))**(3\/4))\/((d**5\/d**0)\/(d\/d**(-1)*d\/d**(-6))) assuming d is positive.\nAnswer: d**(-479\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 + 8566*t**2\/7 + 17138*t\/7 + 8570\/7.\nAnswer: -2*(t - 4285)*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 38*f**2 + 58*f + 233. What is z(-18)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*8\/32 - -17. Let h be (-18)\/(-5) - 2\/(-5). What is the second derivative of x*t**h + 552*t**2 - 552*t**2 - 4*t wrt t?\nAnswer: 192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 3*h + (0*h + 0*h + 2*h)*(-3 + 4 - 2) + (0*h + 2*h - 3*h)*(2 + 0 + 0) - 3*h + 5*h - 4*h + h + 0*h - 4*h - h + 2 - 2.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17, 45, 85, 143, 225, 337?\n\"Answer: m**3 + 21*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 5*o**2 - 4*o - 4. Give n(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 1637295 + 1637295.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130, -84, -14, 92, 246, 460, 746?\n\"Answer: 2*k**3 + 32*k - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + 3*g**2 + 6*g - 2. Let s(y) = -y**2 - y + 1. Let f(v) = r(v) + 3*s(v). Let a be (4\/(-6))\/(2\/6). List the prime factors of f(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*r**3 + 178*r + 120*r**2 + 2 + 7*r**3 - 164*r**2 - 3*r**4 wrt r?\nAnswer: -36*r**2 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 8*l - 8. Let s be (-3194)\/12 - (-56)\/336. Let w be 9\/(-2)*s\/171. Calculate j(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + -85 + 130 - (105 + -6).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 629, 624, 619, 614, 609, 604?\n\"Answer: -5*x + 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-11)\/(-11))\/((-2)\/6))\/((-489)\/13366)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1528212 is divided by 54579.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g\/g**(2\/5))\/g)**(-11)\/((g*g**(-5\/3))\/(g*g**(-18))))**50 assuming g is positive.\nAnswer: g**(-5090\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 3, -3\/8, 0, -311?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 17*z**9\/252 + z**7\/210 + 19*z**5\/60 - 14*z**2. Find the third derivative of i(r) wrt r.\nAnswer: 4080*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-330*o + 843*o - 394*o - 514*o)*(-1 + o**2 + 1) as n*o**3 + w*o + a + t*o**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*u**3 - 212*u**3 - 252*u**3.\nAnswer: -424*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -2*d - 100, -2*c + 5*d - 17 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -340*r + 678*r + 10 - 337*r. Let j be a(7). Suppose 2*w - 4 = -2*w. What is the highest common divisor of w and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/(-7 - 75\/(-10)). Calculate the greatest common divisor of x and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 19*r**2 - 32*r + 34. Let s be k(-17). Suppose 21*c - 14*c + 14 = s. Let a(g) = 6*g + 1. Calculate a(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144633 is divided by 384?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 - 53*b + 4598\/3.\nAnswer: (b - 121)*(b - 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-2)*(80\/(-9))\/4*1635\/(-2180)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5661 (base 13) to base 2.\nAnswer: 10111100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 677214161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2576800 to the nearest 10000.\nAnswer: -2580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, j: 2, i: 4, x: 2, l: 2}. Give prob of sequence xx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-612)\/(-7)*(-6)\/12. Let w = 44 + o. Sort w, -2\/21, 3 in ascending order.\nAnswer: -2\/21, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 at least -3004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17 - -3594) + (3 - (-3 - -3)). Which is smaller: 3613 or b?\nAnswer: 3613","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15002235 (base 7) to base 12\nAnswer: 581586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 139*z**3 - 19*z**2 + 26*z - 11. Let r(y) = 28*y**3 - 4*y**2 + 5*y - 2. Let v(q) = 2*o(q) - 11*r(q). What is the second derivative of v(m) wrt m?\nAnswer: -180*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/3 + 5*h**3\/6 - 7*h**2\/2 + 3181*h. Calculate y(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 4:41 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586*g - 1163*g + 582*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 9*y**2 - 15*y + 4. Let u be n(4). Let x = u + -22. Suppose 5*r + 2*p + 0*p = -16, 2*r - 2*p = x. Sort -1, r, 16 in descending order.\nAnswer: 16, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 6 + 6 + 0*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {c: 1, b: 6, p: 8}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 102\/35?\nAnswer: 102\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 w, and 1 s when four letters picked without replacement from {b: 1, j: 3, s: 3, h: 1, w: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -9. Let y(i) = 4*i + 0 + 5 - 5*i + 1. Let w(d) = -d + 5. Let p(v) = b*w(v) + 3*y(v). Differentiate p(c) with respect to c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -129, -242, -393, -588, -833, -1134?\nAnswer: -1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 + 3 - -31) + (67 - 77)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3964476 is divided by 1242?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(91) - (sqrt(91)*2 + sqrt(91))) - (((sqrt(91) - (sqrt(91) + 1*sqrt(91))) + sqrt(91))*-3 + sqrt(91)))\/((sqrt(490)\/sqrt(40))\/sqrt(7)).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -175, -2, -7\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 0*h - 2 - h - 5 + 5. Let w be g(-4). Let n(r) = -r**2 + 7*r + 4. Let x be n(6). Solve 0*l + x = 5*s - 4*l, w*l = -4*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -178.81 - -4935371\nAnswer: 4935192.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -5.8. Let a = 1.2 + 0.8. Put -5, y, a in decreasing order.\nAnswer: y, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {o: 1, c: 7, m: 5}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/33, 0.2, 1539\/10, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18159*u - 18139*u - 18062*u + 72337*u - 18101*u.\nAnswer: -124*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -5 (c) -225 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 8. Suppose 3*q - 25 + 1 = -3*j, 3*j = -l*q + 29. Let 5*i - 10 - 6*i**3 + 5*i**3 + i**3 - 5*i**j + 10*i**2 = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 3934?\nAnswer: 19670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -945.\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3060 and 6460?\nAnswer: 58140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 14\/(-2) - 14. Let y(k) = -k + 0*k - 3 + 4. Let o(w) = 2*w + 3. Let s(b) = -2*b. Let x(t) = -3*o(t) - 8*s(t). Give h*y(d) - 2*x(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y = 29*y - 12. Let f(x) = 4*x**2 + 8*x + 2*x - 5 + 8 - 3*x**2. What is the tens digit of f(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2937, -2934, -2929, -2922, -2913?\n\"Answer: t**2 - 2938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) 0.24 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 15. Let r be i(-11). Suppose -8 = -r*g + 4*b, -15 = -2*g - b + 1. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51730 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 4. Let w be g(7). Let l = -2.05 - -0.05. What is the closest to w in l, -0.2, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 41*o**2 - 19*o**2 - 4*o**2 + 3*o - 88*o**2 - 3 as j + h*o**2 + m*o and give h.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.1. Let n be 5\/(-20) - 22\/(-24). Put p, n, -4\/7 in ascending order.\nAnswer: -4\/7, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50976*o**2 + 20174*o**2 - 29339*o**2.\nAnswer: -60141*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 6, 52, 136, 270?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*q - 2*b + 7, 4*q - 12 = -2*b. Solve 4*p = -6*v + v + 41, 5*p - 45 = -q*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 6*n**2 - 8*n + 10. Let b be s(7). Suppose -4*l + 35 = p, -l + 4*p + 31 = 2*l. Let m be l\/10 - (-2)\/(-5). Sort b, m, -0.4 in descending order.\nAnswer: b, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + -2 + 4 - 1. Let z(y) = -y**3 - 5*y**2 + 5*y - 1. Determine z(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.818 nanometers to meters.\nAnswer: 0.000000029818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = v + 5*h, 25 = 2*v + 4*h - 17. Suppose -17*n + 138 = -v*n. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:06 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - (sqrt(108)*-2 - sqrt(27)))\/(1*sqrt(441)) + ((sqrt(27)\/(sqrt(45)\/sqrt(5)) + (sqrt(480) + sqrt(30))\/sqrt(10) + sqrt(3))*1)**2.\nAnswer: 6*sqrt(3)\/7 + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 at most 12793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0 - 38*h + 0*h**5 - 1\/15*h**6 + 0*h**3 + 0*h**2 + 5\/6*h**4. Find the third derivative of y(p) wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*r**3 + 2 + 3*r**3 - 4 - 2*r**2 + 8*r**3 in the form g*r + t*r**2 + n + c*r**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*p**5 - 34310*p**3 + 2163493*p**2.\nAnswer: 1740*p**2 - 205860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/228 or -1?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7043*v**2*z**2 - 341*v**2*z + v**2 - 1 wrt z?\nAnswer: 14086*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**3 + 2*a**2 + 2*a + 7. Let w be 2\/7 - 99\/(-21). Let q(b) = 6*b**3 + b**2 + 2*b + 7. Let d(n) = w*k(n) - 4*q(n). Determine d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117528 divided by -4?\nAnswer: 29382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2411.\nAnswer: 3\/2411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*o = -49, -2*y + 17*o = 14*o - 29. Let i = 23 - -27. Calculate the greatest common divisor of i and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1895 + 1895 - 20*f.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -648*j**3 + j**2 + 1265 wrt j?\nAnswer: -1944*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17474166 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 595*d**2 + 299*d + 536. Determine h(-297).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 6*x**2 - 11*x - 13. Let v be b(-6). Let a = v + 249. What is the remainder when a is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 7*a**2 - 9*a - 13. Let k be w(6). Let h = -92\/3 - k. Is h bigger than -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39900840 rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011002101211 - 11?\nAnswer: 2011002101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x - 25. Let c(m) = -m**3 + 4*m**2 + 4*m + 5. Let k be c(x). Let g(i) = -i**2 - i + 1. Give g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 != -13790.39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 788 + 4153 = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95319 + 14?\nAnswer: -95305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -118*s + 81. What is the hundreds digit of f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -581*n**4 - 8*n**3 - 377262*n**2.\nAnswer: -13944*n - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3858 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22 - ((-44)\/(-11))\/(0 + -2). Let h(f) = f**3 + 7*f**2 + 3*f - 2. Let k be h(-6). Calculate the greatest common divisor of a and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 17*d + h = 11, h = -3*d + 16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 64 = 110. Let x = g + -56. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -5*u + 6. Let y be -1 - (-4)\/(u\/20). What is the tens digit of 2\/(-3) + (-64)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4206836479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 12*g**2 + 19*g + 3. Give t(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17733 is divided by 3543.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 43. Suppose t*o = 323 - 959. Let p = o + 375. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 - 115*u**2 - 4468*u - 48160\/3.\nAnswer: -(u + 4)*(u + 40)*(u + 301)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300110310 (base 4) to base 8.\nAnswer: 602464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h. Let b(l) = -21888*l + 1. Give b(g(z)).\nAnswer: 109440*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -769, -869, -1033, -1267, -1577, -1969, -2449, -3023?\n\"Answer: -i**3 - 26*i**2 - 15*i - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2 = -c, -6*x - 4*c + 7 = -7*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 80\/(-14) - (-4)\/(-14). Let p(h) be the first derivative of -4*h**2 + 7*h - 5. Let f(n) = -15*n + 13. Calculate w*f(g) + 11*p(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 13*a**2 + 5*a - 4. Let b be f(-13). Is b bigger than -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 30*p**2 - 29*p - 34. Determine a(31).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74138.541 + -74072. Let h = y - 67. Let b = h + 0.459233. What is b rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 smaller than 675.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + c**2 - c. Let d(g) = 47*g**3 - 348*g**2 + 8*g + 344*g**2 - 54*g**3. Determine -d(q) - 6*h(q).\nAnswer: q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -79413, -79359, -79305, -79251?\n\"Answer: 54*z - 79467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 246121036909.\nAnswer: 246121036908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1454201 (base 9) in base 16?\nAnswer: -c42c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13477*p**2 + 1 + 23*p + 13534*p**2 - 40486*p**2 - 1 + 13477*p**2.\nAnswer: 2*p**2 + 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 22 = z - 9, m = -3*z + 23. Solve z*h - 3*h = 5*s - 7, 4*s - 9 = -h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197*s**3 - 196*s**2 wrt s?\nAnswer: 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 + 11 - 7 + 2*k + 2*k**2 - 4*k**3. Let i be (-82)\/(-10) + (-1)\/5. Suppose -i*d + 3*d + 15 = 0. What is h(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**17)\/(t*t\/((t\/(t*t**14\/t*t))\/t))*(t\/(((t\/(t*(t*t\/(t*t\/((t\/((t*t\/t**(-7))\/t*t))\/t)))\/t*t))\/t)\/t))**50 assuming t is positive.\nAnswer: t**(-332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 - 3*j**2 - 16*j**2 + 4*j**2 - 3*j**2.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Suppose 0*p - u*p = -3900000. What is p rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 9*v - 10. Let m = -28 - -36. Let o be z(m). Let x(u) = 3*u**2 - 2. What is x(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - (-21 - -18 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/1490 and 97\/7450.\nAnswer: 7450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85393117*y**4 + y**2 - 170*y + 10441?\nAnswer: -2049434808*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - 22. Find the common denominator of (3\/8)\/((-2)\/m) and 3480\/(-2280)*(-3)\/2.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 1\/120*s**6 - 1\/3*s**3 + 1\/12*s**4 + 0*s + 0 - 45*s**2 + 1\/15*s**5. Give m(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5946791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-9)))**(-13))**(1\/60) assuming r is positive.\nAnswer: r**(-39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 4*f = -8*y, 3*y = 5*f. Solve -2*z - 2*q + 2 = -y*z, -z = -4*q + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 2*z - 2, d - z - 9 = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 6:06 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -55.4 and 0.4.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 12. Let i = -4 + g. Suppose -2*k - k = -y + 232, -4 = i*k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4) + (-72)\/(-16). Sort r, -1, 0.2 in descending order.\nAnswer: r, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**24\/(g**(7\/4)\/g))**29)**(1\/26) assuming g is positive.\nAnswer: g**(2697\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265951064.\nAnswer: 2, 33243883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -67*z**5\/5 - z**3\/3 - 2*z - 103. What is the third derivative of u(m) wrt m?\nAnswer: -1608*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*r + 1598 - 175, 3*l - r - 1064 = 0. Which is greater: l or 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1303742 and 0.4?\nAnswer: 521496.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/18)\/(24\/54))\/(14\/252)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*14*-3*(-21)\/756?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 less than -0.16458?\nAnswer: 21.83542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1277, 0.1, -119\/5, 37\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -100111001 (base 2) to base 16\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 1. Let k(r) = 2*r - 3. Give -k(j) - x(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**5 - 117*w**3 - 2683*w?\nAnswer: -40*w**3 - 702*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-14))\/(8\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16\/3 - -6. Sort -2\/7, -3, r, 0.1 in descending order.\nAnswer: r, 0.1, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 6*p + 3. Let t = 0 + 7. Let z be i(t). Is (80 - -1) + 2 + z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1179\/1386 - (-2)\/7 and (-28)\/(-40)*10\/(-16).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 11. Let i = j - -15. Put i, -2\/15, 1 in ascending order.\nAnswer: i, -2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22481244 and 0.1?\nAnswer: 2248124.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - 1096 + 3*q**2 - 6*q + 1095 as v*q**2 + p*q + u and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-3)\/(-24)*(-74880)\/13104.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 752 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 406101622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 506189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110825 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2264 (base 13) to base 11.\nAnswer: -3687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -692f (base 16) to base 13\nAnswer: -c344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 608*o + 2939 - 608*o + 280*o**3 - 278*o**3 as h + w*o**3 + y*o**2 + f*o and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5919 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -55. Let p(r) = 55*r**2 + 0*r**2 - 12*r**2 + h*r**2. Let q(x) = -x. Calculate p(q(j)).\nAnswer: 62*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -153.93509?\nAnswer: 154.43509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48418 and 6.\nAnswer: 145254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0187851 rounded to 4 decimal places?\nAnswer: -0.0188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 6*l**2 + 7*l + 7. Let y be 6\/8 + 10\/8. Let g be (-132)\/28 - (16\/7 - y). What is p(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 7*j - 13. What is the units digit of p(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 13 = 4*r. Suppose -r*t = -0*p + 4*p + 14, -2*p = 2*t + 4. Let w be (18\/(-4)*-2)\/(t\/8). Calculate the highest common factor of w and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0.5, -0.159, 0.04342 in decreasing order.\nAnswer: 0.5, 2\/11, 0.04342, -0.159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t - 23*t - 16*t)*((-1 + 1 - t)*(-1 + 0 + 0) - 5*t - 2*t + 2*t).\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -252e92 + 4?\nAnswer: -252e8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 85792 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-1*sqrt(66)*-3)\/((sqrt(24)*1)\/sqrt(4)))**2 + (sqrt(88) - -6*(sqrt(88) + (sqrt(88) - (1*sqrt(88) + sqrt(88))) - sqrt(88)))\/sqrt(8)*4).\nAnswer: -396 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -k - 500, -5*b - k = -323 - 293. Which is smaller: b or 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -30, 0.3, 3\/5, 55\/7, -2\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 2 = 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 9 - (-2 + (-22 - -32))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -1127, 2.\nAnswer: -1127, 1\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 4:59 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12160 and 102464.\nAnswer: 19468160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11161*v + 193*v**3 - 5476*v + 2 - 5685*v - 196*v**3 - 2.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 10, d: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 0.4 (c) 2 (d) 4 (e) 3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - 50630005?\nAnswer: -50626654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3651*h - 500 = 3601*h. What is the highest common divisor of 52 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3.4. Let j = d - 0.6. Which is the closest to j? (a) 2 (b) 4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from czzccccc?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 14*t + 1. Let h be b(-14). Suppose 2*y = h - 11, x - 37 = 2*y. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(630)\/sqrt(250) + (-2*sqrt(126))\/sqrt(2))*-4)\/((sqrt(45) - 3*1*sqrt(45))\/(sqrt(180) - ((sqrt(180) - sqrt(180)*2) + sqrt(180)))).\nAnswer: -108*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/446 and -37\/117676?\nAnswer: 26241748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**6\/10 - s**4\/24 + 10*s**3\/3 - 6*s**2 - 2. Differentiate p(k) wrt k.\nAnswer: -36*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -21\/10 (c) -16 (d) -3\/13 (e) 4 (f) 1 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16218732*q**4 + q**2 - 24639*q - 14 wrt q?\nAnswer: -389249568*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:52 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 1\/2, 0.3, 52\/25, -6\/7 in ascending order.\nAnswer: -6\/7, 0.01, 0.3, 1\/2, 52\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 2. List the prime factors of s(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -2\/9 (b) 1\/2 (c) 1 (d) -84\/83 (e) 40\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -1\/2*k**2 + 120 + 100*k. Let x(t) = -2*t. What is u(x(h))?\nAnswer: 2*h + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 - 7*k**2 - 6*k - 7. Let d be c(-4). Let f be (0 + 7 - 4) + d. Suppose -f = -0*q - 4*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus 514126?\nAnswer: -514126.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/4 and -97\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-40)\/5)\/(-2) - -157?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2802529?\nAnswer: 1033, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-12 - -5) + -4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/226200 and 131\/4535310?\nAnswer: 90706200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + -14. Let m = z + 48. Is -2 - m\/(2\/1086) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -9. Calculate the least common multiple of 8 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -202*c**2*w**3 + 367*c**2*w**2 + c**2*w wrt w.\nAnswer: -1212*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eedddehheeeehmehrrd. Give prob of picking 1 d and 1 e.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -73*q**2 - 10. Let y(n) = -7956*n**2 - 1088. Calculate -544*p(m) + 5*y(m).\nAnswer: -68*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*p + 190 + 26. Solve 5*f + 2 = p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.34 + -17.34. Let l = -0.98 - 0.02. Which is the smallest value? (a) q (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 98*x - 2*x**3 - 4 + 165*x.\nAnswer: -2*x**3 + 263*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 23*j**2 + j - 19. Let r be i(23). Suppose 0 = -2*m + 6*c - c + 111, 2*c - 258 = -r*m. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + (-4)\/4)\/(8\/14). Solve 3*p = -2*g - z, -g - p = 2*g + 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2296, -2298, -2302, -2308, -2316, -2326, -2338?\n\"Answer: -a**2 + a - 2296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p**4 + 3*p**4 - 7*p**4)*(-1453 - 352 + 806) - p**4 - 2*p + 2*p to r*p**4 + a*p**2 + t*p**3 + i*p + b and give r.\nAnswer: 998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89864890 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 5 (c) 598\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*h + 21 = 4*x, -4*x - 4*h = -12. Let t be (x\/6)\/(3\/(-45)). Calculate the highest common divisor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 368886608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2419156438 to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 128*s + 15. Let v be i(4). Let x be (3\/7 - v\/119) + 50. Is x smaller than 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141924 - 194.5581.\nAnswer: 141729.4419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4 - 0. Let f = -1 - k. Factor 6\/7*u**2 + 6\/7*u**4 + 2*u**f - 4\/7 - 6\/7*u.\nAnswer: 2*(u + 1)**3*(3*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1933 is divided by 159.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8268826 is divided by 2756271.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 60428 - 6314. Suppose 5*x = 148139 - m. Suppose 0 = -4*p - b + x, 3*p + b + 9395 = 5*p. Round p to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1098008 smaller than -1098008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f + 136 = 10*f. Let t = f - -35. Which is the nearest to -0.1? (a) t (b) -21 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0186970096 rounded to 6 dps?\nAnswer: 0.018697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 697*g**3\/6 - 19*g**2\/2 - 42*g - 1. List the prime factors of u(1).\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 + -124 - (108 - (2 + (2 - 10) + 4))\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 88\/24)*15. Solve 7*c + 3*c = n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.7 in 4, 7.697, -18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**3 + 6*l**3 - 7*l**2 + 0*l**3)*(2 - 4 - 2).\nAnswer: -4*l**3 + 28*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 155971054?\nAnswer: -3\/155971054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 30, 2, 1, -380, 0 in increasing order.\nAnswer: -380, 0, 1, 2, 26, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 7*c - 5. Let o be j(-5). Suppose -o*l + f = -2*f - 12, 3*l - 4*f - 5 = 0. What is the remainder when l is divided by (-6)\/(-4) - 1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 3*3\/2. Which is bigger: a or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353718414 divided by -3453.\nAnswer: -102438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/22? (a) 14 (b) 3\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 11) to base 3.\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96694 = 9*g + 3998. Let j = -4571 - g. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 142144748 - 13?\nAnswer: 142144735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*c - 195, 237 = 5*c + 5*g - g. Suppose 0 = -9*a + c. What is the lowest common multiple of a and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/13 + 10358*k**3\/13 + 41408*k**2\/13 + 41400*k\/13 = 0. Calculate k.\nAnswer: -5175, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 2)\/(1*-1). Suppose 62 = u*t + a, 0 = -2*a - 4 - 4. Calculate the highest common divisor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 52606776532.\nAnswer: -52606776528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 45034*q**2 + 126720040*q + 190181400.\nAnswer: 2*(q - 5630)**2*(2*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/6)\/((-55)\/90). Let l = f + 13\/44. Let u = -0.12 + 5.12. Which is the third biggest value? (a) -3 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 times 3.7041\nAnswer: -118.5312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-66)\/(-18))\/((-1)\/6). Let k = 19 + z. Let s = 13 - 9. Which is the nearest to -1? (a) k (b) 1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4643878160 + -13545.\nAnswer: 4643864615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i*i*i**2)))\/i**2)\/(((i*i*i**(1\/4)*i)\/i)\/i**(2\/17)))**(-47))**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-267)\/(-13706)*21?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - t - 2*t = 17, -2*a - 22 = 5*t. Let n be -5*(54\/(-15) - a). Solve -5*f - 2 = -5*q + n, 5*q - 2*f = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116278305?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 19. Suppose m - 484 = -o*m. Does 34 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-560)\/980)\/(2\/42*-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-20))\/(153\/68)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)*v**(-14))\/(v*(v**17*v)\/v*v*v)**(-4\/23) assuming v is positive.\nAnswer: v**(-426\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 255*u**4 + 321 wrt u.\nAnswer: 1020*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10\/1207 (b) 40 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14040.96 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -1\/10*b**5 + 28*b**2 + 79*b + 0*b**4 + 0 + 0*b**3 - 14\/15*b**6. What is the derivative of t(d) wrt d?\nAnswer: -112*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1.3, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 106028?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, 13, 6, -2, -1 in decreasing order.\nAnswer: 13, 9, 6, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5823700 bigger than -5823700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/24)\/(7\/(-42))*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/52 and -55\/18?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.23? (a) -5 (b) 2\/11 (c) -0.021 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2. Let h(z) = 97*z - 10. Let g(j) = -102*j + 12. Let o(d) = 3*g(d) + 4*h(d). What is a(o(b))?\nAnswer: -6724*b**2 + 656*b - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 712\/(-445)*(150\/(-70))\/3\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyygggyg. What is prob of picking 2 g?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51839 + -61?\nAnswer: -51900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3104641450 to the nearest 100000.\nAnswer: 3104600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11496, 22985, 34470, 45951?\n\"Answer: -2*f**2 + 11495*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 1. Let h(s) = 2*s - 5. Suppose -4*f + 11*r - 26 = 13*r, 17 = -3*f + r. Determine f*l(o) + h(o).\nAnswer: 8*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -2*h + 14 - 4, -5*s + 3*h - 18 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0253 (b) 0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -446, -1016, -1976, -3326, -5066?\n\"Answer: -195*x**2 + 15*x - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 - -8.06. Let u = -8.13 + o. Let g = u + 0.102. Round g to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 19) + 0 - (-17 + 12) - (438 - 465)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 * 24\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6b (base 12) to base 15\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - (-6 + (93 - 40)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 196.0947.\nAnswer: 196.0947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 1)\/(-3)*-15. Let f = 0 + 0. Let s(v) = v + f*v - 4 - 1 - 1. What is s(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 321. List the prime factors of (-26)\/o + 528\/38.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 82206096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -948 (b) 1\/4 (c) 2.47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 904407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4668405?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 104 - 119 = 6*v, 5*r = 5*v + 7*r + 175 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 468999*b**3*p**2 - 6947*b*p - 4*b - 7*p**2 wrt b.\nAnswer: 2813994*b*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 5*x**2 - 5*x + 1. Let a = 20 + -16. Let m be h(a). Round m to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - f + 251 - 250, f = 8*v + 4*f - 63 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2514 divided by -8973?\nAnswer: 838\/2991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**3 + 27*p**2 - 20*p - 212. What is a(-9)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 6. Let t = y - -1. Which is the second biggest value? (a) -4 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4044.806913 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -194, -134, -18, 172?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 687061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 20\/77981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i + 13156*i**2 - 6564*i**2 - 6595*i**2 - 17*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 minus 25.573983709?\nAnswer: -25.613983709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10961 is divided by 215?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27657.\nAnswer: 3, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a8 (base 14) to base 4.\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 - 34*t**2 + 42*t + 107. Give l(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (102\/(-15))\/(39\/15 - 3). Suppose -s*w = 701 + 2410. Let j = -113 - w. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (8 - (-7 + (-2 - -16)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4302.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268, 987, 2180, 3853, 6012?\nAnswer: 8663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*g**2 - 136*g**2 + 57 - 57.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2866186238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/2)*((g\/(g*g*g\/g**(-1\/4)*g*g)*g)\/g)\/g*g)\/(g**(1\/30)\/(g*g*g\/(g**20\/g)*g)) assuming g is positive.\nAnswer: g**(-1067\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**3 - 216*y**2 - y - 68. Let b be g(-72). Let t = 1066 - 613. What is the units digit of (-8)\/16 - b\/((-8)\/t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let f(z) be the first derivative of z - 3254. Give f(l) + 2*k(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -5.5. What is the nearest to -1 in t, -2\/5, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, s: 12}. Give prob of picking 1 r and 3 s.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 4*y = -150. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*f**2 - 34*f**2 - 419*f**4 + 421*f**4 - 3 + 3*f**3 to m*f**4 + h + t*f**3 + z*f**2 + c*f and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 + 2. Let d be -2*(2\/(-5) + 0). Let v(t) = 16*t**2 + 1175*t - 1873. Let n be v(-75). What is the second biggest value in 1\/11, d, i, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*q + 44 - 1799 = 0 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 13*d - 2772. Let m be 5\/1*-1 + d\/44. Solve -2*u - 3*u - m*r = 12, 2*u = -5*r - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 - 43*k + 13. What is the remainder when r(11) is divided by (35\/20)\/(2\/24)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60185 - -33686. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 - 30*b**2 - b - 9. Let a be y(-15). Solve q - 4*x = 17, 4*q + a*x = x - 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*a - 8 - 1, -3*q = 5*a. Solve -4*s + a = -5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 248 = -2*u, 2*u - 496 = -2*u + 3*t. Is u a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 2*w**2 - 4*w**2 + 7*w**5 + (6*w - 5*w + 0*w)*(-4*w**4 + 2*w**4 + 3*w**4).\nAnswer: 7*w**5 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1307 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -197*h + 201*h - 3*y - 72, 0 = 2*h + 4*y - 14. Solve x - 3 = -5*k, -25*x + h = 3*k - 20*x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4340\/9 - -482. Let m be ((-836)\/231 - (-2)\/7) + 1. Sort d, -0.2, 4\/7, m.\nAnswer: m, d, -0.2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t. Let o be z(-1). Suppose c - 16 = o*c. Let h = c - -27. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.88 + 0.12. Let a = 9\/11 + -47\/44. What is the nearest to -1 in c, a, 3\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*i**3 + 75*f**3*i*x - 2*f**3*i + f**2*i**3*x - 9*f**2*i**3 + f**2*i**2*x + i**2*x wrt f.\nAnswer: -6*i**3 + 450*i*x - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 27*x**3 + 2*x**2 - 6*x + 8. Find the second derivative of o(f) wrt f.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 + (-395)\/45*-3. Let p(d) = -2*d + 37 - 7*d + 4*d**2 - y. Does 13 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 9182 in ascending order.\nAnswer: 1, 4, 9182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/108)\/(775\/(-2480)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 12 = -3*o, -18*h + o = -16*h - 5. Suppose -3*g - 3 = -3*w + 2*g, 2*g + 6 = 2*w. What is the remainder when w is divided by 7\/h - 64\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247375393973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 2*c + 62. List the prime factors of h(21).\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*z + 10. Is -382*(3 + z\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 214 - 203. What is the smallest common multiple of w and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -20*k + 15. Let m be q(-4). Let v = m + -87. Suppose 0 = y - 4*h + 3, 5*y + 3*h - v = 69. What is the greatest common divisor of y and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*b + 18 = 72*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2\/8 - 1053*l\/4 - 4116 = 0. Calculate l.\nAnswer: -686, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 10:59 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.05, -5, 0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368 and 27416.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -0.1 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 2*k + 3*k. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - f. Let a(j) = -6*j**2 - 6*j. Let v(h) = 5*h**2 + 6*h. Let c(b) = -3*a(b) - 2*v(b). Determine 2*c(i) + 12*s(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 5. Let o(t) = 4*t - 24. Let z be (-3)\/(-1) + -9 + -8. Suppose -445*v = -460*v - 45. What is v*o(p) + z*d(p)?\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490 and 20216665?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3102\/(-9400) + (-2)\/(-8).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.02 (b) -468 (c) -162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = -5*o + 4*u - 72, -4*u + 28 = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*y = 1869*y + 2725*y + 15*y + 379800 for y.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 120 = 2*k + 4*l, -5*l = -k + 39. Let r be (-1562)\/(-18) - (-12)\/k. What is r rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + sqrt(147) - sqrt(147)) + -5 + 6*((sqrt(3) - (sqrt(12)\/sqrt(4) + -2))*-4)**2.\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/60)\/(97\/((-28809)\/(-231))))\/(8\/5)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 6534\nAnswer: 2613.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292470, -584875, -877288, -1169709, -1462138?\nAnswer: -1754575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v**3 - 2*v**2 + 2*v - 1 + 0*v + 0. Suppose 0 = -2*m + 4, -4*j - 1 - 3 = -4*m. Calculate the lowest common multiple of f(j) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 6846 = 10*d. Let x = 338 + d. What is the highest common divisor of x and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 85. Let k = -53 - 41. Let a = l - k. Solve 0 = 3*h - 2*h + 5, 4*h + a = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6690 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 245182 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1444426 by -2.\nAnswer: -722213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 571055\/3405788 + 71\/13116. Let h = t - -215\/123. What is the common denominator of h and (-6)\/27 - (-371)\/90?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 11*w**2 - 154*w - 6000. Give l(26).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 + 16136*u**2 + 1625862388*u\/5 - 58635653904\/5.\nAnswer: (u - 36)*(u + 40358)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(3\/10))*l**(-9\/5))\/((l**(-21)\/l)\/(l*l**19)) assuming l is positive.\nAnswer: l**(399\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q + 7 = 0. What is the remainder when 23 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12100210 + -11210?\nAnswer: 12012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 21. Calculate the remainder when 11 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33.99 + 34. Let o = f + -1.01. Let r be 4\/14 - 52\/(-14). What is the nearest to 0.1 in 5, o, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 8*t**2 + 19*t + 40. Calculate o(-8).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (108 - 161 + 266)*(20 - 12 - 7 - 10 - 4*j**2) in the form f*j + a*j**2 + w and give a.\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24237 and 8.5189.\nAnswer: -24228.4811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 282e?\nAnswer: -2827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*h + 2*d - 41, -2*h + 91 = -5*d. Solve h*x = -13 - 185 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(18\/(-618)) + 1)\/2. What is the highest common factor of 156 and w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/sqrt(5))\/sqrt(5)*4.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1\/1853442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 0*z**3 - 9*z + 4*z + 9*z - 4 + z**3. Let l(b) = -2*b**3 - 7*b + 8. Let r(q) = -4*l(q) - 7*x(q). What is the first derivative of r(o) wrt o?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + -618*(-35)\/(-3570)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 174674, 698274, 1570940, 2792672, 4363470, 6283334?\n\"Answer: 174533*x**2 + x + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 328*b + 2569. Calculate j(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvdq when four letters picked without replacement from {v: 2, d: 2, q: 1, z: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 21268.\nAnswer: 3\/21268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y**3 - 41*y**2 + 193*y + 33. What is z(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o. Let l(q) = -13*q - 47. Let u(z) = 5*h(z) - l(z). What is the tens digit of u(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000101 + -111010?\nAnswer: 1110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/1500*(-320)\/(-360)*9?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*d*x**3 + 1528*d*x**2 + d*x + 6*d - 95681934*x**3 wrt d?\nAnswer: -9*x**3 + 1528*x**2 + x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 529494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 336861917*s + 379937547 wrt s.\nAnswer: 336861917","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14 - 44)*92\/(-690). Solve -14*k**x - 64\/5 + 356\/5*k**3 + 368\/5*k - 120*k**2 = 0 for k.\nAnswer: 2\/7, 4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -261*o**2 + 12*o - 6. Let v(j) = -3652*j**2 + 166*j - 83. Let q(x) = -83*m(x) + 6*v(x). Let l(r) = r. What is q(l(z))?\nAnswer: -249*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**2. Let r(n) = n - 160797. Give r(h(k)).\nAnswer: -7*k**2 - 160797","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*l = 4, -u + 30 = 4*u - 4*l. Suppose -3*v + 34 = u*o - 11, 3*o + 15 = v. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/(-6))\/7)\/(2\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 5525*i**2 + 124180*i - 270500.\nAnswer: 5*(i - 2)*(i + 25)*(i + 1082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 2*j + 41. Let r be w(-6). Suppose r*c = -2*c. Which is greater: c or 1\/286?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-276)\/21)*((3 - 85\/(-10)) + -15)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172377?\nAnswer: 3, 107, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -6*k - 2\/3*k**3 - 1\/12*k**4 + k**2 + 0. Determine f(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3194.280566925 and -0.4.\nAnswer: -3194.680566925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1919, -3839, -5771, -7721, -9695, -11699, -13739?\nAnswer: -15821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 841100 rounded to the nearest 10000?\nAnswer: 840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 13 = -4*c, 88*c - 26*k + 451 = 97*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*n - 190, -6*v + 2*v - 4*n + 196 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 + 41.1. Let h = -72.4 - t. Let z = 52 + h. Sort z, 2, -3\/2 in decreasing order.\nAnswer: 2, z, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3783 is divided by 1138.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -4*s**5\/5 - s**4\/6 + 11*s + 17. Let r(d) be the first derivative of l(d). What is the third derivative of r(q) wrt q?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.183 + -0.173. Let t = 0.18 - 0.07. Let f = i - t. What is the closest to 1 in 0.2, f, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 11 (b) -4 (c) -0.3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33138686 divided by -3.\nAnswer: -33138686\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**5 - 2*f**3 + f. Let c(d) = 3172*d**6 + 4*d**5 + 4*d**3 + d**2 - 21*d - 51. Let i(t) = -c(t) - 2*s(t). Find the third derivative of i(q) wrt q.\nAnswer: -380640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 179*v + 7057. Let i be g(-121). Which is greater: i or 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 2, k: 1, p: 1, g: 1, x: 1}. What is prob of sequence tt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4.7. Let v = 92 + -91.3. Let r = v + a. What is the second smallest value in r, -1\/4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-8)*(-2 - 2). Find the second derivative of 2*h - b*h - h - 4*h**3 wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*l + 1776 - 4886, -5*d = -2*l - 7763. What are the prime factors of d?\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8800376?\nAnswer: 2, 13, 37, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -71\nAnswer: -14\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 305. Let c = -223 + a. What is the remainder when 439 is divided by c?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 1, x: 1, w: 1}. Give prob of picking 1 g and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 62 = -5*v + 3*h, -3*v = -2*h - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/1197 and 50\/437.\nAnswer: 27531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 1, 3, 42, -1, -2 in ascending order.\nAnswer: -2, -1, 1, 3, 27, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 0, -1, -0.5542?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 1. Determine z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3055, -2777, -2315, -1669, -839, 175?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.11 (c) -1.411\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -7, 4.\nAnswer: -7, -4, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - 10422402?\nAnswer: -10422353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -133632610 divided by -53?\nAnswer: 2521370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 724557 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 62*b - 3. Let j be u(1). Let g be -4 + 6 + j*6. Let q = -165 + g. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.123889 + -0.1180067. What is u rounded to four dps?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 53 + -3 - (-6 - -5).\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28700 divided by 5740?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 67579, 267581, 600925, 1067617, 1667663?\n\"Answer: m**3 + 66665*m**2 + 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3258847 is divided by 350.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/765 and 37\/10846?\nAnswer: 488070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25339\/306 + -1505\/17. Find the common denominator of n and 52\/6 - 1\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 35, 50, 69, 92, 119?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*x**5 - 1215 - 411*x**2 + 690*x**3 - 902*x + 105*x**4 + 2*x**5 + 1521*x**2 + 209*x + 8*x**5 = 0. Calculate x.\nAnswer: -27, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**4*b**(-3\/4))**(-8\/5))**(2\/21))**(1\/30) assuming b is positive.\nAnswer: b**(-26\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-4 - (4 - 283343)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537 - 891 = 6*w. Let x be 90\/(-28)*w\/(-204). Which is the third biggest value? (a) x (b) -1\/3 (c) -1 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20490 rounded to the nearest one hundred?\nAnswer: 20500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 412 = -4*b. Calculate the remainder when b is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by (-1830)\/(-50) + 2\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6412.4 - 39884\nAnswer: -33471.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 12*l - 14. Give n(5).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 (base 6) in base 11?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 2.3, -5, 258, -47?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1590472.6 to the nearest one thousand.\nAnswer: -1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 283, 420, 555, 688, 819?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -846*a + 42773. Give i(50).\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6.1 (b) 2\/53 (c) -1\/14 (d) 2\/15 (e) 0.3 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 33301?\nAnswer: 33231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*b + 15, 5*m + 5*b - b = 34. Put m, 4, -1 in ascending order.\nAnswer: -1, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 431 + -4?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*o + 1793 + 502. Suppose -o = -38*i - 7*i. Solve 19*v - 20*v + i = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1655, -3307, -4959, -6611?\nAnswer: -8263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*y + 24*y + 30*y + 624*y**3.\nAnswer: 624*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 4:50 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20436573?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, k: 2, e: 1, v: 1, l: 1}. Give prob of sequence ev.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56383696 is divided by 408577?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4215, 642, -2931, -6504, -10077, -13650?\n\"Answer: -3573*i + 7788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1239 + 327 - 1298 = 21*j - 257 for j.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2. Let s(p) be the third derivative of p**4\/8 - 3*p**3\/2 + 8*p**2 - 3*p. Let u(q) = -q + 1. Let m(z) = 2*s(z) + 18*u(z). Calculate m(i(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-6 + -2 + (8 - 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.69?\nAnswer: 3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2024\/(-46))\/(2*-1))\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 + -117. Let s be (-12)\/26*v\/6. Sort s, 1, 18\/5.\nAnswer: s, 1, 18\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.1, -1, -12 in ascending order.\nAnswer: -12, -2.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 + -137. Let b(k) be the third derivative of 0 + q*k**4 + 0*k - 2*k**2 + 0*k**3 + 1\/20*k**5. Let o(g) = g**2. Give o(b(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/726 and -39\/39446?\nAnswer: 118338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 3*l**2 + 4*l - 3. Let a = 5 - 0. Suppose -r = -3*n + 6, 5*n + 94 = -a*r + 24. Let s be (r\/9)\/((-2)\/(-6)). What is q(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306, 593, 876, 1155, 1430, 1701?\nAnswer: 1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.8998 litres?\nAnswer: 3899.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**3 + a**2 + a + 2. Suppose -n + 3*m - 2 + 10 = 0, 6 = -3*m. What is the units digit of i(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24.49 and 968652.8.\nAnswer: 968677.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1455645 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151858 = -278*r + 160476 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 2*q**2 - q + 4 + 2*q**3 - 6*q**2. Let c be g(4). Solve -4*h + 4*d + 1 = h, -3*h + 5*d - 2 = c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**2 - 36*b - 159. Let u(y) = 5*y**2 + 52*y + 238. Let d(n) = -7*a(n) - 5*u(n). Let j(c) = -c**2 + 3*c + 26. What is 3*d(r) + 8*j(r)?\nAnswer: r**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12032465 and 89875.\nAnswer: 3595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -15.5. Let f = 0.4 - g. Round f to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = -3*y - 24 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pinynyyrynri. Give prob of picking 1 i, 2 r, and 1 n.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106518 and 668013?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*a**4 - 10*a**3 - 180*a**2 + 40*a.\nAnswer: 5*a*(a - 2)*(a + 2)*(9*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + (0\/4)\/(-3). Let a(f) = -f**3 + 6*f**2 - f + 2. Calculate a(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 280 + -277.31. Round p to one decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7)\/y)**(2\/39)*(y*y\/y**(-1\/4))**(-31))\/((y\/y**1)\/y**(4\/5)*(y\/(y*y**(-2\/7)\/y))\/(y**(-7)\/y*y)) assuming y is positive.\nAnswer: y**(-421907\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.61063 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (2*sqrt(180))**2) + -4)*2 + 5.\nAnswer: -1443 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1648875 to the nearest integer?\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -807 (b) -0.4 (c) 5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 9) to base 16.\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2542258 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1046*n + 1050*n - 28 = -2*q, -25*q + 3*n = -191 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172638 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 4:18 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + a - 1. Let t(r) = 8*r**2 - 194 + 0*r + 197 + r**2 - r**2 - 3*r. Give -5*d(o) - t(o).\nAnswer: -3*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113 + 173. Let c = -5 + 26. What is the remainder when k is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3657 = -2*q + 715. Suppose 0 = 8*v + 794 - q. Is v a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*10\/40 - 2*-1. Let a(u) = u**3 + 3*u**2 - 3*u + 5. Let o be a(-4). Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 8, 33*p = 31*p - 4*y + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/9)\/(-2)*(-3)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 = 4*r - 6*r, 0 = -r + 1. Let i(t) = -5 - t**m - 5*t - 2*t - 1 + 1. Let z be i(-5). Let h(d) = -d + 10. Determine h(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53792 and 146944?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129 - -131. Suppose 10*l - 9*l = -a. Is 23 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -16. What is the units digit of (-276)\/(-14) - c\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3986780.\nAnswer: 2, 5, 7, 28477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 2250*h**2 + 4525*h**2 - h + 5*h - 2254*h**2.\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 + 0.1. Let x(q) = q**2 - q - 3. Let g be x(-5). Let l = -32 + g. What is the closest to 2 in n, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 42 - 8 = 0. Suppose -y + 2 = -4*l. Is l smaller than 6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -15584?\nAnswer: 15586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/251 in 1\/2, -11023, 1, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6750580\/8 + (-1)\/2. Let m = r + -573822. Round m to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i - 572 = -682. Solve -2*f + 18 = 2*h, -i = -5*f + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**3 + 9*z**2 - 6*z - 5. Let w(k) = 5*k**3 - 8*k**2 + 5*k + 4. Let m(v) = 7*w(v) + 6*y(v). What is the tens digit of m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + (-5 - -8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 32*v + 184. Let h be m(14). Let d = h - 634. Suppose -4*p + 4*r - 36 = 0, -5*p - r = 2*r + 45. Is p at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6. Let c(f) = -f + 10. Let y(p) = 1. Let v(d) = c(d) - 5*y(d). Give v(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1307, 2\/15, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-352)\/220*(-30)\/792?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**4\/12 - f**3\/6 + f - 3. Let x(l) be the first derivative of u(l). Determine n so that x(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42393 + -71\nAnswer: 42322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. List the prime factors of 3 + (a - 4) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 28. Let j(w) = -5. Let v(c) = -22*j(c) - 4*x(c). Let u(t) = -t**3 + t**2 - t - 1. Give 2*u(p) - v(p).\nAnswer: -2*p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00050253668 rounded to five dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*y + 5563 = b, -5*b - 2*y + 9315 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046593927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -508.899 - 265?\nAnswer: -773.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -0.1, -1\/6, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 13*p**2 + 46*p + 16. Let l be w(16). What is the common denominator of (237\/(-21))\/(l + 18) and -17\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = -73*q + 342 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -194 (b) 3 (c) -209 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2632956 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -4\/7, -1.1, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.49*0.02.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*s - 0 - 6, -2*s + 2*n = -2. What is the smallest value in s, -1\/5, 2.1, 0.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**3 + m + 1. Let g be i(-1). Let u = -2\/423 - -1279\/2115. Let j = 1 - -1. Put u, g, j in descending order.\nAnswer: g, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**4 - 41*d**3 + 16246*d**2\/5 - 43664*d\/5 + 2976 = 0?\nAnswer: -31, 2\/5, 12\/5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1575 and 43039325.\nAnswer: 387353925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 105.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5002 divided by -23.\nAnswer: 5002\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12307.\nAnswer: 31, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(2\/15)*h)))\/h)**27*(h*(h*(h*h**(-4)*h)\/h)\/h)**(1\/4) assuming h is positive.\nAnswer: h**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6972*t**3 - 2*t**2 + 2*t - 234. Let u(j) = 2*j**3 + 2. Let d(x) = f(x) - 5*u(x). What is the third derivative of d(a) wrt a?\nAnswer: 41772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22273379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1219, -1231, -1253, -1291, -1351, -1439, -1561?\n\"Answer: -k**3 + k**2 - 8*k - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(847)*-1).\nAnswer: -11*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*t**2 + 193 - 193 + 2*t - 2*t.\nAnswer: 122*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*g + j, -23*j - 8 = 6*g - g. Put -22, -0.3, 2, -5, g in increasing order.\nAnswer: -22, -5, -0.3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -23. Suppose 4*a = 9 + 11. Suppose 3*i = 2*p + 23 + a, 4*i = -3*p + 9. Calculate the smallest common multiple of i and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 2 (c) -24 (d) 0.2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1000*u + 14557. Is r(145) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.5 (b) -11 (c) -0.2 (d) 9 (e) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.49 + -3.291. Round s to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -5. Suppose -3*m - 5*o + 34 = 0, 5*m - 2 - 3 = 2*o. Let w = m + a. Solve w = c - 5, -2*u - c + 18 = 3*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**9\/432 + r**5\/120 + r**3 + 2*r**2. Let w(d) be the first derivative of c(d). Find the second derivative of w(q) wrt q.\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 7.4. Let i = 2.524 - -0.896. Let h = i - 3.42. Which is the closest to h? (a) -1 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6017 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 17 - 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71465 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 1, 21, 15, -30?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895.01 less than -376173.747?\nAnswer: -378068.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78474 is divided by 4126.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -664714 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.27 (b) -8 (c) -125 (d) -2 (e) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7252 is divided by 142?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 590*h + 30629. Calculate s(638).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (6*1\/2)\/((18\/60)\/((-37)\/(-222)))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 517033, 2068131, 4653295, 8272525, 12925821?\n\"Answer: 517033*s**2 - s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 - 4. Suppose p = -0*t - 2*t - 20, -5*t = p + 23. Let w = p + 22. Let b(o) = -1. What is w*b(r) - n(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.668 <= 3197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 462361.744 to the nearest one thousand.\nAnswer: 462000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -5*j**3\/3 + 5*j**2\/2 - 11. What is the second derivative of w(t) wrt t?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 1396*s - 75576.\nAnswer: -4*(s - 282)*(s - 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 192, 157, 122, 87, 52?\n\"Answer: -35*d + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187623, 375264, 562905?\nAnswer: 750546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 5 (c) -24\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 16\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-17)\/(-68))\/(25\/(-11250)*9)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 39994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 + 210512454?\nAnswer: 210512535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6263390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18521 and 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(1\/2)\/j))**(1\/19)\/(j**(6\/5)*(j**(-3)\/j)\/j))**(-1))**(-41) assuming j is positive.\nAnswer: j**(30217\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 3 (c) 6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*a - 2428 = -2446, -4*v - 3*a - 11 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*g + 39 - 39 + 125*g.\nAnswer: 607*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11402*z**2. Let y(x) = -4833*x. Give c(y(q)).\nAnswer: -266326650378*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*m - 13. Suppose -m*h - 3*g = -36, 0 = -2*h - 3*g - 2 + 20. Calculate the remainder when h is divided by (3 + 1)\/((-4)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11429, 22993, 34559, 46127, 57697, 69269, 80843?\nAnswer: 92419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 5*r + 6. Calculate the remainder when (252\/(-30))\/(r\/20) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 12*d**2 - d + 6. Let p be l(5). Let t be 4\/(-8)*0\/(-1). Suppose t*g + p = g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 7*p + 631*p**2 - 51*p + 29*p**2 - 30*p.\nAnswer: 660*p**2 - 68*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 68 + 0 = 0. Let g(d) = 2*d - 5*d - 6*d - 6 - d**2. Calculate the remainder when m is divided by g(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2793206 is divided by 10345.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 390635329 to the power of 1\/2, to the nearest integer?\nAnswer: 19764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3c658 (base 13) to base 8\nAnswer: 334756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11132680?\nAnswer: 2, 5, 13, 79, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7602584, 7602576, 7602568, 7602560, 7602552, 7602544?\nAnswer: 7602536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**3 + 534*m**4 + 1 - 204*m**4 - 176*m**4 + (0*m - 2*m**3 + 0*m)*(m - 3 + 3).\nAnswer: 152*m**4 + 4*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1682, -4073, -6464, -8855, -11246?\nAnswer: -13637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5686913, 11373883, 17060853?\n\"Answer: 5686970*g - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33117981, 33117980, 33117979?\n\"Answer: -i + 33117982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*3\/(-84)*17*140\/(-680).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**3 + 50*s + 4*s**3 + 3*s**3 + 3*s**2 - 13*s**3 wrt s.\nAnswer: -12*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19734, -39450, -59150, -78834, -98502, -118154, -137790?\nAnswer: -157410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5890229 and 3?\nAnswer: 17670687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-462)\/(-57) - (12\/(-114))\/(-1). Suppose 0 = x*l - 415 - 585. Which is bigger: l or 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -10*i - 4. Let f(g) = 54*g + 6. List the prime factors of f(i).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/28 - 2\/(-7). Suppose 5*m - 2*q = 23, m - 2*q - b = 2*q. Suppose 71 = m*g + 1. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-3267)\/(-72)) + 2\/(-6).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*v**4 - v**4 + 11*v**4 + (2*v**3 - 2*v**3 + v**3)*(0 + 0 - 2*v).\nAnswer: 25*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-nine quarters of a gram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7718 is divided by 141.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 12032, 5, -2, -17 in decreasing order.\nAnswer: 12032, 5, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqpqqqqqqqqqq. What is prob of sequence qq?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/(-18) - (-2)\/4. Let i = 41\/36 + v. Let y = 48370 - 48372. Which is the third smallest value? (a) -1\/5 (b) y (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1696)\/636)\/((-8)\/63).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16955.6623 to the nearest 10.\nAnswer: -16960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/19218 and 9\/70466.\nAnswer: 211398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 8:24 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7344 divided by -4.\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-2)\/(-3)*(-23)\/((-45448)\/(-156)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 192, 193, 194, 195?\n\"Answer: x + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 + 260630888423.\nAnswer: 260630888511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (39 - -16 - 11) + -45\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-26)\/54) + (-1749)\/22737. Solve -12*m - p*m - 56 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h + p = 101, -3*h + 307 = 4*p. Let w = 3183\/4 - 790. Find the common denominator of w and -1*h*(-2)\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*y - 86, -2*y + 63 = y + 3*t. Suppose s + 30 = 3*m - y, 5*m + 5*s - 95 = 0. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125952 is divided by 124767?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llyclyglnlllgbgbbbg. What is prob of picking 1 n, 1 g, and 1 c?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2065850.6532206586 - 12669.9467799314. Let c = 2078522.9 + z. Let f = -2.3 + c. What is f rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {e: 3, j: 5, q: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 86 = y, y + 3*y = 4*s - 88. Suppose -h + 6 = 13. Let u = h + s. What is the remainder when 31 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -824*j = 633742738 + 4165102. Round j to the nearest ten thousand.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2 - (-71)\/(-2). Is -33 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 18 + -8 + (583 - 591)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 1\/240*c**5 + 1\/48*c**4 + 2*c**2 + 0 + 0*c + 0*c**3. Determine m, given that g(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.484 - 0.016. Sort n, -6, 5.\nAnswer: -6, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16.2? (a) 3 (b) -151 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(108) + -2 - sqrt(432)) + (sqrt(432) + 2 - (5 + sqrt(75)))**2.\nAnswer: -47*sqrt(3) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9061099 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -37*n + 79. What is the hundreds digit of b(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i + 44*i + 48*i - 142*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3)*((-2)\/(-3) - -2)*(-11364)\/947.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26773 - -49547. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -860865 = -35*v + 6*v. Suppose 18*c = 21*c - v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 1:59 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 4*j. Let v be x(3). Find the common denominator of ((-3129)\/(-280) - 19) + 1\/(10\/12) and ((-159)\/v)\/((-12)\/10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s - 4 + 0*s**2 + 2*s**2 - 3*s**2. Let o(d) = -12*d**3 - 25*d**2 - 6*d - 5. Let w be o(-2). Give g(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37230, 69824, 102418, 135012?\nAnswer: 167606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 2)*(-6)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*s + 218*s + 2174 + 874 = 0 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -10, -1, -2560 in decreasing order.\nAnswer: -1, -10, -52, -2560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67477 + 95567. List the prime factors of j.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -241*m**3 - 4*m**2 + 10*m + 2. Let w(j) = -361*j**3 - 6*j**2 + 16*j + 4. Calculate -8*f(c) + 5*w(c).\nAnswer: 123*c**3 + 2*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 8. Let p(w) be the first derivative of -w**3 - 9*w**2\/2 + 8. Let n(r) = -r**2 - 4*r. Let l(c) = d*n(c) - 4*p(c). Let t(u) = 7*u**2. Give l(t(m)).\nAnswer: 147*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {k: 2, c: 8, o: 2, d: 7}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*p - 6*p + 20 = 0, 0 = s - p + 7. Let g = -7 - s. What is the units digit of (-1)\/(3\/(g*1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 6:50 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -2, 0.\nAnswer: -37, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2468 = -3*y - 2*r, 3*y + 2*r - 4092 = 8*y. Is y\/(-8) + 1\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t + 291 = 130*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 0 + n - 4 + 2 - 6*n**2 + n**3. Let d be l(6). Suppose -d*v + 5 = -15. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 - 2. Let d(b) = 2*b**2. Let r be d(-1). What is the closest to r in -4, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**3\/2 + 1566*y. Let k(m) = 1935*m**2. Give s(k(z)).\nAnswer: -5805*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**2 - 10*v + 21. Determine j(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100288696 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.058, 5, -3\/5 in increasing order.\nAnswer: -3\/5, -0.058, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 873 and 163611.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b + 91*b - 40*b + 14*b - 19*b - 20*b - 11*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atgdvgazgagazagd. Give prob of picking 1 g and 1 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045 times 1164?\nAnswer: 1216380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 6*c + 9. Let q be k(-7). Suppose -q*h = -3*h + 3. Suppose 2*r - h = r, 0 = -3*t + 4*r - 3. Solve -t*a - 9 + 0 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 4*q**2 + 4 - q + q**4 - 3 + 2*q to the form c*q**4 + l + t*q**2 + j*q**3 + i*q and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94480.\nAnswer: 2, 5, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 10*b**2 - 4*b - 9. Suppose 2*i - 12 = -j, 12 + 8 = 5*i. Suppose 2*a = g - 18, 0 = 2*a + g - j*g + 18. Is 30 a factor of y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2809663074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 9, 2 = 3*p - p - 2*o. Solve 0 = 2*c - p + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 32*c**2 - 28)*(17*c**2 - 22*c**2 + 17*c**2).\nAnswer: 384*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1080660 and 1302?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 615198860 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - (-5 - (5 + -4 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13378.73 - 13375.130114. Let s = -3.6 + g. Round s to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + q + 6, 2*o - 73*q + 42*q - 6 = -21*q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2.403, 123, 0.2 in descending order.\nAnswer: 123, 14, 2.403, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 3, 4, 57, -15063?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 4*f + 10, 0*f + 315 - 309 = 2*i - 2*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-25))\/(-1 + 3\/5). Let v be o - (-2 + (-3)\/5). Let 100*z**4 - 95*z**3 + v*z - 8\/5 + 18*z**2 = 0. What is z?\nAnswer: -1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2216*m - 205105 = 298*m - 495*m for m.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.95 - -4.45. Which is the nearest to -2\/3? (a) 3.9 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 8350?\nAnswer: 25050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 4. Let d be h(3). Let r(o) = -2*o**2 + 3*o - 6. Let z be r(3). Let b be 3 + (-3)\/1 + z\/(-5). Solve -v = -2*n - 1, -d*n + 14 = b*v - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4582 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 883320 to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -234.4 and -27646645.\nAnswer: -27646879.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2790 divided by -5.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 602418868?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 24.1. Let g = -1.3 + h. What is the second smallest value in g, -0.4, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.74 - -0.84. Which is greater: -59 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1276*h + 1381*h - 4370*h + 1464*h = 12450 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89986615, -89986617, -89986619, -89986621, -89986623?\nAnswer: -89986625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 20*r - 198. Give w(13).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 + 4 = 0. Let t(f) be the second derivative of -f**4\/6 - f**3\/3 - f**2 - 8*f. Let m be t(x). Put 3, 7, m in decreasing order.\nAnswer: 7, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i + 12 = 0. Suppose -5*c + i*v + 17 = 0, -c = -3*c - v + 12. Let -c*s**2 - 20*s + 0*s**2 - 23 + 8 = 0. What is s?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 477172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4750, 18998, 42744, 75988, 118730?\n\"Answer: 4749*y**2 + y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 14798?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26715*c**2 - 26920*c**2 + 53637*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20275082 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -u - 16, -5*u - 1421 = 5*m - 1461 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1) - (5 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1. Suppose -5*t + 9 = -1. Suppose -10*q = -11*q - t. Let h(s) = s - 2. Let d(w) = w - 2. Let v(x) = 6*d(x) - 5*h(x). What is q*v(o) - 4*u(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2615765 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 975*f = 1190*f - 365500. Calculate the greatest common factor of 9775 and f.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.008*62834.\nAnswer: 502.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1.248\nAnswer: 4.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 10 - (-70 + 77) - (16 - 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 - 15*b - 40. Let x(d) = -9*d**2 + 27*d + 79. Let k(h) = 7*s(h) + 4*x(h). Determine k(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -13*r**6\/60 - r**5\/30 + r**4\/24 - 7*r**2 - 146*r. Determine s(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 318738 and 84?\nAnswer: 637476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 8*t**2 - t - 7. What is the tens digit of d(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14aa + 291?\nAnswer: 177b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v - 14. Let s(z) = z + 1. Let y(r) = g(r) + 2*s(r). Let h be y(-5). Which is the third biggest value? (a) -1\/5 (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14882 greater than 14882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 521*k**3 + 38*k**2 - 12*k + 253. Is f(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129287 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.6 - -9.60051. What is x rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7091066 and 6112.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -52 + ((-35856)\/(-360) - 102)*(-1)\/((-2)\/5)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 8*x**2 + 2*x + 9. Let n be s(8). Suppose -r - n = -6*r. Let a(l) = -l**2 - 5*l - 4. Calculate the least common multiple of r and a(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35058583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 15 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 - 6384 + 6384.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312*(495\/(-1540))\/(2*(-21)\/(-49)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6760979 to two decimal places.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13.46813 and 0.5.\nAnswer: 13.96813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000 - -10020?\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -142 - 18?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 m, and 1 p when three letters picked without replacement from {z: 1, w: 2, m: 2, q: 4, p: 1, r: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33*(-44)\/(-60) + (-24)\/120. Solve n*r + 15 = 9*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -20327290.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.1 - 31.4. Let s = 145\/42 + -19\/6. Which is the smallest value? (a) s (b) 1\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 572457258363 + 25\nAnswer: 572457258388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 16578.\nAnswer: 215514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4505980 is divided by 1501993.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220 and 176.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -177*k + 4244. Determine b(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1812235 or 1812246?\nAnswer: 1812235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-14)*2)\/(56\/((-1960)\/(-15)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -671 divided by -2346.\nAnswer: 671\/2346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + (-15 - -69))\/((-2 - -4)\/(-1))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*(-986)\/(-1392) - (-10)\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-283 + 281 + 97*f**2 - 893*f**2)*(-5 + 2 + 4) in the form u*f + r + i*f**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15021, 2\/3, 0.2, -10, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59, 487, 1657, 3941, 7711, 13339, 21197, 31657?\n\"Answer: 62*w**3 - w**2 - 3*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-1) - -2)\/(-1). Suppose -3*p - 6 = 0, 2*h + q*h = -5*p + 26. Let d = 7 + -2. Solve -d*v = h + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-54)\/12*(-3)\/18.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 - 792*r**2 - 844*r + 9552 = 0. Calculate r.\nAnswer: -4, 3, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwvwwgwgv. What is prob of sequence wvv?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 23 + -5 - (-56 + 6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a568 + 3?\nAnswer: 6a56b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/5 (b) -0.1 (c) 1\/53 (d) 244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*j**2 + 22*j**2 + 2*j**3 - 1 - 7*j - j**3 - j + j + (3*j**2 - j**2 - 3*j**2)*(-j + 3*j - 3*j) + 0*j**3 + j**3 + j**3.\nAnswer: 4*j**3 - 7*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(3*z**2 - 5*z**2 + z**2).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 r when three letters picked without replacement from {h: 4, r: 5, q: 4, b: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 + 5*x**5 + 3*x**5 + (-3 + 1 + 4)*(x**5 - 2*x**4 + 2*x**4) + 3*x**5 - 54*x**3 + 54*x**3 - x**5 + 0*x + 0*x - x**5 - 2*x**5 + 4*x**5.\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 4*j - 7. Let p be y(-5). Let n = 4.3 + -4. Let d = 0.1 - 0.2. Which is the nearest to p? (a) n (b) 0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1\/4, -1\/4, -1, 2\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k**2 + 2*k - 6. Determine w(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 324 - 319 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 148?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -13*l**2 + 5. Let i(x) = 45*x**2 - 18. Let u(q) = 18*g(q) + 5*i(q). Let w(v) = 2436 + 8*v - 2436. What is u(w(p))?\nAnswer: -576*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-48)*12*-2. Sort 1, 2, k in descending order.\nAnswer: 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/2)*(((y**(10\/11)*y)\/y)\/y)\/y*y*(y**30*y*y)\/(y**7\/y) assuming y is positive.\nAnswer: y**(537\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.374 + -101.926. Let f = 104 + x. Which is the nearest to -3? (a) -1 (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/20 + 9 + (-728)\/(-65).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w. Let s be ((-4)\/5)\/(2\/(-5)). Suppose 2 = s*g + 4. Is g <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0759 less than 169?\nAnswer: 168.9241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*k + 38. Let z = 380 - k. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -471*h*m - 29*h - 11*m + 1420 wrt m.\nAnswer: -471*h - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 233427 (base 10) to base 7\nAnswer: 1661355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 7 - y - 6 + 10*y**3 - 9*y**3 to k*y**3 + f + t*y**2 + s*y and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10356233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - -9) + -4 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28469767 is divided by 2549?\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -184054 divided by 7079?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-19 - -12) - -1*5. Let t(i) = -7*i. Let q(d) = -9*d. Let p(x) = f*t(x) - 4*q(x). Let m(u) = -9*u - 2. Give m(s) + 3*p(s).\nAnswer: -6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17473427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1940, -2122, -2306, -2492, -2680?\nAnswer: -2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 13. Suppose 0 = -2*l - 3*l, -3*b + l - 18 = 0. Let h(m) = -2*m - 7. What is the remainder when k is divided by h(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**4\/24 + 2*m**3\/3 - 3*m**2. Calculate the smallest common multiple of 2 and g(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.611 + 162.589. Let l = p + -9.2. Let a = l - 153.9999927. Round a to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37663 - -42130.8. What is y rounded to the nearest one hundred?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, -8, -44, -116, -236, -416, -668?\n\"Answer: -2*v**3 + 2*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -4. Let p(j) = j + 4. Let i be p(6). Let f = i + t. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*t - 5 = -0*t, -5*j + t + 82 = 0. Suppose -5*p + 8 = 4*n - j, -4*n + 10 = 2*p. Suppose n = -3*z + 25 + 20. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + 2*g**3 - 2*g + (-4*g**2 + g**2 + g**2)*(0*g + g - 2*g) + 26*g**3 - 12*g**3 + 25*g**3 in the form n + t*g + x*g**2 + p*g**3 and give p.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 2, 799 in decreasing order.\nAnswer: 799, 72, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 55187 divided by -61?\nAnswer: -55187\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (-50)\/(-12))\/1. What is the closest to 2\/5 in -5, 2\/9, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(84) - sqrt(21) - (1*sqrt(63))\/sqrt(3))\/(sqrt(14)\/(sqrt(20)\/sqrt(90))))**2.\nAnswer: 100\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:48 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0 - 28) + (82 + 15 - 105)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5aa95 (base 12) to base 15\nAnswer: -26478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123221232 (base 4) in base 7?\nAnswer: -3122323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.2, -6, 0.1, 0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -37*i - 25. Let z be y(-8). Let p = z - 128. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Suppose 20 = 5*p, -24 = -5*x - p - 0*p. Suppose m - 10 = -x*g. Let y(n) = n**2 - 1. Let c(r) = -3*r**2 + 4. Determine g*y(t) + c(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + 8*l**2 + 9*l + 8. Let i(o) = 2*o**3 + 7*o**2 + 8*o + 7. Let a(j) = -7*i(j) + 6*p(j). Let z be a(-1). Sort z, 5, 0.2.\nAnswer: z, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1507 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606 divided by -113372.\nAnswer: -303\/56686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - j - 27334 = 0, -4*s - 63*j = -62*j - 54674. List the prime factors of s.\nAnswer: 2, 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 41254?\nAnswer: -41253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 3*w - 12. Let m(i) = -81*i**3 - 5*i**2 - 21*i + 63. Give -7*j(a) - m(a).\nAnswer: 81*a**3 - 2*a**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, j: 3, u: 1}. Give prob of picking 2 j and 1 u.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2361087 divided by 6101.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 49625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 102, -934, -4262, -11028, -22378, -39458, -63414?\n\"Answer: -191*d**3 + 301*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*c - 4*d = 176*c + 168, c + 4*d = -33 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325409 is divided by 25030?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7208141\/60 - 120133. Calculate the common denominator of d and 127\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-132)*(-96)\/60. Which is the closest to h? (a) -1 (b) -12 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, -47, 1\/3, -0.82 in decreasing order.\nAnswer: 1\/3, -2\/25, -0.82, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6277 = -351*y + 1796 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6078 is divided by 137?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 328\/6*((-1005)\/(-737))\/(2\/55) a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -6. Let b(c) = -3*c**d - 4 + c + 7*c**2 - 3*c**2. Let u be b(-3). Solve -r + u = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.2 + 10.19999789. What is w rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 23*q**4\/24 + 5*q**3\/6 + 2580*q**2. Give y(-5).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -16.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1304.84 + -1349. Let x = 13.94 - t. Round x to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 5*q**2 - 2*q**2 + 3*q**2 + 3*q**2 - 3*q**2 + (2*q**2 - 4*q**2 + 4*q**2)*(6 - 4 + 0) to the form g*q**2 + r*q + x and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*-3*154*26\/1430?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9249273277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-15)\/(-6) - 2). Let x = g - 2. Determine i so that x*i + 2\/3*i**3 + 0 - 2\/3*i**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120527*0.5.\nAnswer: 60263.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 + 15*s**3 - 20*s.\nAnswer: -5*s*(s - 2)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b + -4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.85162 centuries to months.\nAnswer: 119821.944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**3 - 4*i**2 + 4*i + 1. What is l(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 - -96. What is the second smallest value in k, -2, -1\/6, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26696955 and 978.\nAnswer: 53393910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30966, 61931, 92894, 123855?\n\"Answer: -i**2 + 30968*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 6*p - 8. Let v be 10 + -2 + 1 + -1. Give k(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54693.47 rounded to the nearest 100?\nAnswer: -54700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56.65 + -1.35. Let w = -33 - x. Let y = w + -18.4. Round y to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 203*l**2 + 26*l - 4038. Determine a(203).\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = -5*p. Let x(y) = -5 + y**p - 2 + 3 - 3*y. Let a(i) be the first derivative of i**4\/2 - 2*i**2 - 5*i - 1. Give -2*a(b) + 3*x(b).\nAnswer: -b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 15) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.59 - -141.01. Round a to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -781*f**2\/2 + 2609*f + 909. What is the derivative of i(x) wrt x?\nAnswer: -781","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7921*m**2 - 15282 with respect to m.\nAnswer: 15842*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1826a98 (base 11) to base 9.\nAnswer: -5742367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(2*i - 6*i + 2*i)*(-6*i + 4*i**2 - 140 + 0*i + 142).\nAnswer: 8*i**3 - 12*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 336662 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4162, -72, 0, 2 in decreasing order.\nAnswer: 4162, 2, 0, -1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 41*q**2 - 104*q + 5656. Let v be t(42). Which is bigger: -2387\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 269 - 179. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-35))\/(13857\/2086).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p = 12*p + 10. Suppose 4*x - 286 = -2*m + p*x, -15 = 5*x. List the prime factors of m.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-110)*(800\/(-12))\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 38 - 39. Let x be 2*(-1)\/(-2)*-3. Put k, x, 2 in increasing order.\nAnswer: x, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 + 25*w + 56 - 153*w in the form u + t*w and give t.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 31, -3.\nAnswer: -3, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -31427.\nAnswer: -2\/31427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142943650 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 10*f**2 + 1347*f. Let m(y) = -2*y**2 + 446. Give l(m(r)).\nAnswer: 40*r**4 - 20534*r**2 + 2589922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4, -o - r + 8 = -0*o. Suppose k - 40 = o*k - 3*d, -3*k + d - 24 = 0. Sort 1\/4, k, 1\/2 in descending order.\nAnswer: 1\/2, 1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/3 (b) 4.43 (c) 0.1 (d) 1\/4 (e) -0.5 (f) 588\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -10 - -22) + -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21431033 - 203?\nAnswer: -21431240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -208 + 1427. Suppose -349 = 3*d - w. Round d to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 55*p**3 + 55190*p**2 - 2928620*p + 1581000 = 0.\nAnswer: -1054, 6\/11, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = 70*u - 220 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 811183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide -4 - ((-130)\/(-10) + -3531)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 7 + 38. Let f(y) = 5*y**2 + 6*y - 6. Let x be f(-3). Suppose 8*u = x + 19. Solve -u*j + 29 - s = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 426335 and 4160?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1085 - -1094. Calculate the least common multiple of p and 102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m + 10 = 0. Let v = m + 0. Suppose b - 16 = -4*p, -2 + 6 = b - v*p. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -88. Suppose 0 = -h - 2*c - 8, 4*h + 9 = -c - 2. Calculate the remainder when q is divided by 19 + h + -2 - 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 12*a**2 + 2*a + 7. Give o(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(-18560)\/(-2784).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 13*q - 4. Suppose 882 = 11*p - q*p. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**5 + 5*j - 5*j**5 + 6*j - 6*j wrt j.\nAnswer: -140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 581*u**2 + 11*u - 22. Let k be i(3). Round k to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 - (4 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u = 93 - 253 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-40))\/(2\/10 + 0). Let l be t\/5 + (-328)\/(-20). Suppose 0 = o - l - 5. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191239584 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-45)*6)\/(78\/15)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*sqrt(52)*-1 - sqrt(52)))\/(6*sqrt(144)*-3).\nAnswer: 5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5\/11 - 2*c**4\/11 + 2*c**3\/11 + 2*c**2\/11 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g - 7. Let y be f(1). Let u be y\/(-2)*(72\/42)\/6. Let l be 2\/(-9) + 222\/27. Solve -5*p + u = -l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3\/3 + 26*r**2\/3 - 64*r\/3 + 34\/3 = 0. What is r?\nAnswer: -17\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 383 divided by -252212\nAnswer: -383\/252212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 18 = x, -x + 3*n + 46 - 24 = 0. Solve 2*q - 4*q = x*c + 34, 5*q = 2*c - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeoo when four letters picked without replacement from {o: 3, e: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*q + y, -y + 18 = -q + 4*y. Suppose 0*n = n - q. Solve n*i - 6*i = -5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 20*m**3 - 460*m**2 + 616*m + 2848. Let p(t) = 4*t**3 - 93*t**2 + 123*t + 570. Let a(o) = -5*j(o) + 24*p(o). Let a(d) = 0. What is d?\nAnswer: -2, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84.05 - 83.55. Let x be 3*2\/(-6)*1. Which is the nearest to x? (a) v (b) 3\/37 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*m + m - t, t - 15 = -m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 4:36 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 720358\/14316)\/(-62). Let q = 28\/3579 - h. Let y = 2\/93 + q. What is the closest to -1\/2 in 2\/11, y, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3*u - 4)*(-37*u**2 - 52*u**2 - 33*u**2) - 4 - u**3 + 4 to the form d*u**3 + y*u**2 + n*u + v and give d.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 4 - 2*m**2 + 11*m**2 + 1.\nAnswer: 9*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 529 - 6603040\nAnswer: -6602511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**8\/p))\/(p\/p**(-1\/12)))\/(p*p\/(p*p**(-3)*p)*p*p**(8\/7)\/p))**(14\/11) assuming p is positive.\nAnswer: p**(-943\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-900)\/63 + (-19 - 1080\/(-56)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 2*a - 4 - 16, 0 = 2*b - 5*a + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*b = 90, -7*h = -4*h + b + 37. Let k(z) = 3*z**2 + 2*z - 7. Is k(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1940576 divided by -485144.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 29 - 11 = 0. Let c be 6 + -2 + m\/3. Solve -k = -5*i - 21, -c*k - 17 = i - 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s + 168. Let l be q(-19). Suppose -l*o + 207 = -1. Calculate the greatest common divisor of o and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 91b5 + -1?\nAnswer: 91b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/((-416)\/(-117))*7\/((-882)\/24). Let g = 1.2 - 0.2. What is the third smallest value in g, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x = 40. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 21*t + 1020. Give m(-51).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -270, -544, -818, -1092, -1366?\n\"Answer: -274*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 21*d + 48 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 = -2. Suppose -7*z - 4*y = -3*z - 48, -3*z + 31 = q*y. Let l be (-6)\/(-21) - 3\/z. Is -1 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 + 0.096366\nAnswer: 0.066366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218670?\nAnswer: 2, 3, 5, 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + -2*sqrt(5) + 2*sqrt(20)\/sqrt(4) + (sqrt(10)\/sqrt(8) - ((sqrt(225) - sqrt(25))\/sqrt(5))**2)).\nAnswer: -114 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 - 71. Suppose 15*h + 21 = w*h. Solve 0 = -u + 2*u + 5*c - 14, -h*c + 22 = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9096.49*0.79\nAnswer: -7186.2271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96950*a**4*x - a**2*x**3 + 97927*a*x**3 wrt a.\nAnswer: -1163400*a**2*x - 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 39\/5*k**2 + 108\/5*k**3 - 12*k**5 + 0 - 21\/5*k**4 = 0 for k.\nAnswer: -1, 0, 2\/5, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + (515\/35 - -4))\/((-2)\/(-7)).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v**3 - 20*v**3 + 29*v**3.\nAnswer: 26*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779605891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-104)\/(-6)*(-18)\/(-12). Calculate the greatest common divisor of 130 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-238)\/238)\/((-5)\/8).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + b - 5. Let l be q(0). Let i be 0\/(-4*l\/20). Factor 0 + i*k - 1\/4*k**2.\nAnswer: -k**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - s + 261 = 0, 3*m = 3*s + s - 186. Suppose -26 = t + 4*r, 2*r + 84 = -3*t - 44. Let h = t - m. Calculate the remainder when h is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.441009l to millilitres.\nAnswer: 1441.009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*i + 46*i + 2063138 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, w: 6}. Give prob of sequence wwy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30834b + -1?\nAnswer: 30834a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, -63, -185, -357, -579, -851, -1173?\n\"Answer: -25*m**2 + 3*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 966 by 14.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 2*w**3 + (2 - 4 + 0)*(-2*w**3 + 4*w**3 - w**3) - 2*w + 2*w - 5*w**3 to j + m*w**2 + y*w + s*w**3 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 11:16 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - (-48)\/9) + 8\/3. Let f(l) be the second derivative of 1\/2*l**3 + 0 + d*l + 0*l**2. Let a(p) = 2*p. Calculate a(f(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyqyyyyyyyyyyyy. What is prob of sequence yyy?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -955 divided by 119?\nAnswer: -955\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1704220 and 1704282 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o**3 + 6*o**3 + 44*o**3 + 18*o**3.\nAnswer: 35*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*f - 5*d - 47, f - 2*d - 437 = -429 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5902.\nAnswer: 2, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5 + 9. Suppose -x*a + 2*a - 3*d + 2 = 0, 2*d = 4*a - 6. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 793918140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1623, 6088, 13363, 23406, 36175, 51628, 69723?\nAnswer: 90418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*g + 37*g + 108. Let m(w) = -2*w + 58. Let u be m(g). Solve 2*r = u*n + 4, 5*n + 0*r - 1 = r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*l**2 - 107*l**2 - 96*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 136 + -4 + 0 + 1 + -1. Suppose c = 5*d + 3*c + 355, 71 = -d - 4*c. Let o = d + s. Is 26 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 184 and 3404?\nAnswer: 6808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k**2)**(-2)\/((k*k**(-1)*k*k)**18*(k**(-1\/3))**(5\/17)) assuming k is positive.\nAnswer: k**(-2341\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 2*d = b - 4, -d - 16 = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 28769?\nAnswer: 2\/28769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.1, -26778?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -571, 5, -5, 56 in increasing order.\nAnswer: -571, -5, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -12, 5, 52964.\nAnswer: -12, -0.06, 5, 52964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*x**2 - 42*x + 40 + 56*x - 15 - 23 - 14*x.\nAnswer: 39*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, q: 2}. What is prob of picking 2 q and 1 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19197 + 19192. Let u = -3 - -1. Let h = 1.9 + u. Which is the nearest to h? (a) -2\/3 (b) x (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/45)\/u*u\/((u**(-1\/33)\/u*u)\/u) assuming u is positive.\nAnswer: u**(532\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*o**3*r + 35871*o**3 + 5*o**2 - 5622*o - r + 2048 wrt o?\nAnswer: -390*o*r + 215226*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/1559?\nAnswer: 2\/1559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-27))\/j*j)\/j*j**(-9) assuming j is positive.\nAnswer: j**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*n - 212*n - 76*n**2 + 80*n**2 + 393*n.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.623 rounded to 1 dp?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -3*s + 5*z, z + 88 = 2*s + 3*s. Let n = s + 4. Suppose 0 = h + 2*h - n. What is the remainder when 19 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/5 of a century in months?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -71620?\nAnswer: -71624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.432 + 1.532. Let z = 3.3 + -1.3. Which is the closest to -1\/5? (a) o (b) z (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 224 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.23 and 14.48692?\nAnswer: 3.3319916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(2 + sqrt(162)) + 5 - (-1*sqrt(162)*1 - -5*(sqrt(162) + -1)))**2.\nAnswer: 360*sqrt(2) + 561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.3 + -8.1. Let w = -0.13 - -1.03. Let f = 0.1 + w. Which is the nearest to 1\/2? (a) 4\/3 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519710 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 837571486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 15, u: 3}. What is prob of picking 4 o?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342 - 172 + 3*u**3 - 2*u**3 + 0*u + 0*u.\nAnswer: u**3 + 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -51, -49, -3, -0.073, 2\/19?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*d - 23978 + 21930 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 9*o = 4. Suppose -7*s + 562 + 96 = 0. What is the smallest common multiple of s and 6 + 4 - o - -4?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 311545922*v\/5.\nAnswer: 2*v*(v + 155772961)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 473640245 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/804 and -7\/12.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -2. Let b(f) = f + 1. Let p be b(2). Let j be (-16)\/p*6\/y. What is the highest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4, 0*p + 59 = 5*c - p. Suppose -3*w = -w + c. Is (w\/(-4))\/((-2)\/(-44)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17621 is divided by 881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 419 + -331. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.271 - 2.601. Let t = s - -2.2. Let f = t - 3.87. Which is greater: f or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*j. Solve 4*m - f + 11 = j, 0*m - 2*f - 2 = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(152)*1 + sqrt(152))\/sqrt(8)*-2 + 1 + -4.\nAnswer: -8*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/664 + -12289\/3320. Find the common denominator of 109\/364 and o.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -211 - -206. What is the closest to -3 in -0.1, -2\/13, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -761*k + 49. Let l(g) = -380*g + 24. Let y(u) = 13*l(u) - 6*r(u). Suppose 0 = -5*a + 32 + 3. Let x be y(a). Round x to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53880517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.08215.\nAnswer: 0.24645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374166\/819 - 8\/(-7) is divided by 205.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 204 = 4*h. Suppose 0 = 5*s - 26 - h. Suppose -4 + s*x + 0*x**2 + 25*x**2 + 20*x**3 + 11*x**2 = 0. Calculate x.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16832 divided by -4.\nAnswer: -4208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*s - 538 - 914 = -324. Sort -2, 3, s, 39, 4 in increasing order.\nAnswer: -2, 3, 4, s, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 838393688 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -183, -207, -251, -321?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g + 3. What is the nearest to 0.1 in 0.4, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 59 + 0*v - 5*v + 58. Let i(d) = d**2 + 4*d. Calculate -3*i(z) - 2*n(z).\nAnswer: z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38875845*k*u - 1273*u + 36257 wrt k?\nAnswer: 38875845*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 38185?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2380291, 9520914, 21421953, 38083408, 59505279?\nAnswer: 85687566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 7.98 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1718.9 - -1719. Sort 1\/3, -2, 0.41, -0.3, h in decreasing order.\nAnswer: 0.41, 1\/3, h, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132396 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r**3 - 3*r**2 + 12*r + 3. Let i(j) = -4*j**3 + 2*j**2 - 7*j - 2. Let x(u) = 3*f(u) + 5*i(u). Suppose 4*p = -1 + 5, 4*p = -5*z + 9. Give x(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10951\/4032 + 1\/576. Suppose 3*l + 17328 = -2*a, -23108 = 4*l - 0*l + 4*a. Let t = l - -57683\/10. Calculate the common denominator of t and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 8. Let u(n) = -n - 1. Let b(x) = d(x) - 6*u(x). Let k be b(1). Are 3\/2 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -129, -110, -79, -36?\n\"Answer: 6*n**2 + n - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24315270 divided by -49623.\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/30*4\/(-8)*-5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36356.616575 + 36357. Let n = g + -0.378. Round n to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-6 + (9 - -1) + -13 + 29 + 0).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2411000 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002437.\nAnswer: 643, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d + 7 - 5*d)*(3*d**3 - 5*d**3 + d**3).\nAnswer: 3*d**4 - 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Let x(v) = 4*v. What is x(r(o))?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*n - 14 - 24 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 7\/5*l**5 - 2\/15*l**6 - 5*l**4 + 6*l**3 - l + 0*l**2 + 0. Factor c(f).\nAnswer: -4*f*(f - 3)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 5*w**2 + 2*w - 5. Let l be g(-4). Let j(k) = -24*k + 125. Let p be j(5). Solve -7 = p*i - l*z + z, 0 = 4*i - 3*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.211 + -2.181. Let r = -2 - q. Sort -0.4, -5, r, -2 in decreasing order.\nAnswer: r, -0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/36 and -39\/764.\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*n + 1193*n - 219*n + 636*n - 30240 = 0 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -22.3. Let b = t - 1. What is the second biggest value in -0.5, -4, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-25205)\/(-6) - (-5)\/180*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52128.469 rounded to the nearest ten?\nAnswer: 52130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.426*1.1.\nAnswer: -0.4686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 9 - 5 = -4*s, 8 = s - 2*p. Solve 3*y + 16 = x, -s*y - x = -0*y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + n - 5*n)*(-3*n + 5*n - 4*n) - 3*n**2 + 2*n**2 + 4*n**2 - 2*n**2 + 2*n**2 + n**2 - 7*n + 7*n - n**2 as s*n + x*n**2 + v and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 4.49?\nAnswer: 4.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.091 + -0.191. Let r = -3 - -2. Let n = 0 - -0.2. Which is the nearest to r? (a) v (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g - 12, 4*l - g = -3. Suppose 3*j - 2*j - 2 = l. What is the smallest common multiple of (-2)\/(-4) - (-27)\/j and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 < -241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81.000195 + -81. What is y rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**4\/24 + 2*n**2. Let h(f) be the second derivative of 19*f**3\/6 - 183*f - 43. Give h(b(w)).\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from raarararrarrararraaa. What is prob of sequence rara?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l + 24. Let g be ((-15)\/(-10 + 5))\/(l\/10). Sort -4, g, -7 in descending order.\nAnswer: g, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 = 3*k, -1 - 19 = z - 4*k. Put 0.4, 3, -2, z in increasing order.\nAnswer: -2, z, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3 = 0, -39*x + 42*x = -f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26, -246, -664, -1286, -2118, -3166, -4436, -5934?\n\"Answer: -f**3 - 93*f**2 + 66*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**6 + 11*f**5*o - 2*f**3*o - 18*f**2 - o wrt f?\nAnswer: 120*f**3 + 660*f**2*o - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + c + 8. Let x be f(-4). Let i be (-1890009)\/(-3) - x\/(-4). Round i to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 7 = 2. Let c be (d + 4)\/((-6)\/(-4)). Suppose -g - 1 = c*z - 4, 0 = 3*z + 4*g + 3. Solve -4*t = 2*q - 2 - 2, 2*t = -z*q - 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**3 + 2*v**2 - 8*v - 12. Let c be m(-3). What is the greatest common divisor of c and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -260803211\/412 - -633017. Let u = 1\/412 + g. Suppose -16 = 4*z + 16. Which is the closest to -1\/3? (a) z (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 53*d + 140 + 160 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 9*o**2 - 5*o + 4. Let n be i(-7). Let w = -11 - n. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2, 0.025, -6\/29, 24, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 5:21 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:26 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7855*d - 15707. Give k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.9 and -1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 260*a + 259*a - 521*a. Let q(u) = 3*u + 51. Give f(q(h)).\nAnswer: -6*h - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 1581*c**2\/4 + 3175*c - 4767.\nAnswer: -(c - 6)*(c - 2)*(c + 1589)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000378663 rounded to 6 dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 + 34\/6. Solve 5*r + 2*k - 4 = 9, -k + l = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -24*r - 69. Let d be j(-2). Let p(s) = -41*s - 46. What is the hundreds digit of p(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 2:10 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1834, -0.1, 0.5, -55?\nAnswer: 1834","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 4*b**2 - 6*b + 4. Let l be t(5). Let d = 12.7 + -12.2. What is the nearest to l in d, 2\/5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 1606865*l**2 - 8034374*l - 38564880.\nAnswer: (l - 8)*(l + 3)*(l + 1606870)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1878 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**3 + 2*k + 1. Let b(f) = -f + 2. Let w(s) = 1 + 6*s - 4*s**2 + s**3 - 4 - s. Let q be w(3). Let p be b(q). Determine h(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + i + 8 = 4, -3*i + 6 = 0. What is the second derivative of -35*w**2 - 33*w**2 - w - 2 + 90*w**k - 142 wrt w?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*t + 28 = 0, -45*t - 38 = 2*g - 48*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 345390198 and -4.\nAnswer: -1381560792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m - 589. Let g(k) = 2*k. Determine c(g(f)).\nAnswer: 10*f - 589","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48443042400 rounded to the nearest one million?\nAnswer: 48443000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 12.07. What is f rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229\/6 + -38. Let z = 1.94 - -0.06. What is the third biggest value in s, z, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495\/(-3267)*4\/10.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fb - -f41?\nAnswer: e46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129885*l**3 - 59*l**2 - 67*l.\nAnswer: -779310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**3 - 8*l**2 + 24*l + 35. Let t(a) = -2*a**3 - 3*a**2 + 8*a + 12. Let b(c) = 3*s(c) - 8*t(c). What is the units digit of b(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 5, -1, -2629, 4 in descending order.\nAnswer: 5, 4, -1, -13, -2629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7586336 (base 9) to base 6\nAnswer: -223142010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - -0.3. Let l be (-6)\/(-14) + (-36)\/(-14). What is the closest to l in 0.4, -1\/6, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.076, -0.5, 6, -0.2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(15)\/sqrt(5) + -4 + sqrt(3)).\nAnswer: -8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 + 104\/(-13))\/(-1). Let r(b) = b**2 - 16*b + 14. Give r(j).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (26 + 2)*2\/4. Let j = 28 - x. Suppose -6*q + 2*q + 4 = 2*y, 0 = -2*q - 2. Calculate the smallest common multiple of y and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -749488 minus -855?\nAnswer: -748633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608065 is divided by 304025.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68049 - -82543432\/1213. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2. Let j(p) = 23*p + 2. Let k(s) = -115 + 317*s - 698*s - 907*s - 23*s. Let c(a) = 115*j(a) + 2*k(a). Determine c(l(d)).\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 101. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/33, -4, -5, 7, -3 in decreasing order.\nAnswer: 7, -2\/33, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 27*l + 47. Let z be s(-7). Suppose -7*g + 9*g = -2*w - 558, -3*g + z*w - 813 = 0. Which is smaller: g or -274?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)*m)**(-34) assuming m is positive.\nAnswer: m**(-442\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or -26?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4539 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 8*d**2 + 7*d + 13. Let j be m(9). Let f = -1 - j. Let r be (1 - 0)*13 - f. Solve 3*w - r + 24 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*h + 13 - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*i + 10, 0 = 2*a - 3*i - 3 - 4. Solve 0 = q - 3, 3*q - 19 = -3*w - a*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 158074, -5, 3 in descending order.\nAnswer: 158074, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 21*l - 33 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j\/j**23*j))\/j*j*j**20)**(2\/45) assuming j is positive.\nAnswer: j**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 83 - 30*j**2 - 39.\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -411 by 824525.\nAnswer: -411\/824525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1209547 = -16*v - 12411. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 2880 + 2656. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11101 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34628 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191 + -113. What are the prime factors of (6\/4)\/(j\/8632)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -3*f + 9, -28*r + 4*f = -27*r + 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339159984 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/560)\/((40\/2)\/(420\/20))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/144074 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 62*k - 27. Let u(q) = -309*q + 138. Let h(z) = 24*p(z) + 5*u(z). What is the first derivative of h(g) wrt g?\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3\/10)*q*q*q)**29 assuming q is positive.\nAnswer: q**(1073\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**3\/3 - h. Let j = -2 + -4. Let b = j + 5. Give v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13692, 54657, 122936, 218535, 341460, 491717, 669312?\nAnswer: 874251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f + 0*f - 8*f - 17*f**2 - 7*f.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.066 - 0.334. Which is the smallest value? (a) 5 (b) 2 (c) j (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144476 divided by 2\nAnswer: 72238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdv when three letters picked without replacement from {m: 3, d: 3, v: 2, h: 7, p: 3, s: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 40342?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 381*y + 13352. Let i be f(-35). Solve 26 = 14*q - i*q - 4*l, 0 = 4*q - l + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 673\/40 - 86\/5. Let w be 6 - 3 - 1\/(42\/5926). Let z = -138 - w. What is the second smallest value in z, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 47 - 17 = 0. Suppose i*t - 5*h - 15 = 0, t + 0*t = 4*h + 3. Factor 3\/8*n**2 + 0*n + 0 - 1\/8*n**4 - 1\/4*n**t.\nAnswer: -n**2*(n - 1)*(n + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1621963793?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19616156?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**11\/(i*i**6*i*i))**(-8\/9) assuming i is positive.\nAnswer: i**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-301 - -255) + 160 - (8 - 1).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 835, 1787, 3131, 4873, 7019, 9575?\nAnswer: 12547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 132*a + 631*a - 212 + 221. Is h(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 207*n + 6082. What is k(-35)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 727 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*j**4 + (0*j + j - 3*j)*(-107*j**3 - 103*j**3 + 201*j**3).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -32\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11091845*d**3 + 133*d - 2044 wrt d?\nAnswer: -66551070*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -254c4 (base 14) in base 8?\nAnswer: -262564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 48 = -3*q. Let w be 1\/4 + (-621)\/q. What is the greatest common divisor of w and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 26 = -5*h, 0 - 14 = -4*h + v. Calculate the lowest common multiple of 20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**7\/420 - g**6\/48 + g**5\/15 - g**4\/12 + 74*g**2 - 5. Factor k(p).\nAnswer: p*(p - 2)**2*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011101 + 110010000?\nAnswer: 10001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1416 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/2)*d*d*d\/(d\/(d*d*d**1))*d*d*d**1\/d*((d**3\/d)\/d)\/d*((d**(-5)*d)\/(d**7*d))**(-25\/3) assuming d is positive.\nAnswer: d**(215\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58115715 is divided by 1671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/3)\/(1\/3). Suppose -148 = -k*h - 2*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -287 - -299. What is the remainder when (-78)\/4*(4 - 88\/f) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5512121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1243373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -24 (b) -0.2 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 200*j - 298. Let m(k) = -67*k + 106. Determine 4*g(x) + 11*m(x).\nAnswer: 63*x - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0 in descending order.\nAnswer: 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1239)\/(-19352)*41*(-1)\/(-7)*(2 + 3)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28875?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/(7\/252*8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -67.9 not equal to -0.038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, 56, 78, 100, 122?\n\"Answer: 22*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*f = 13*f - 151219. Is f a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51755675 or 51755662?\nAnswer: 51755675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 653870, 653980, 654092, 654206?\n\"Answer: v**2 + 107*v + 653762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 25*m - 1. Calculate a(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3792 is divided by 117.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 757867900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/641168 and 57\/408016.\nAnswer: 4488176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/7 - 1*52\/(-91)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320834 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -38*n**2. Let i(s) = -4*s**2 - 7*s. Let y(o) = o**2 + 2*o. Let x(w) = 4*i(w) + 14*y(w). Calculate k(x(m)).\nAnswer: -152*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/17 - -35\/102. Let x(a) be the second derivative of -1\/15*a**6 + 1\/6*a**4 + 0*a**5 + 0*a**2 + 0 + f*a**3 - 3*a - 1\/42*a**7. Factor x(w).\nAnswer: -w*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3271303191 from -0.123.\nAnswer: -3271303191.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iioooiiiioi?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(4840) - sqrt(4840))\/(sqrt(160)\/sqrt(5)))**2.\nAnswer: 605\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251 divided by -1.\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -22. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173372 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 450009331 to the power of 1\/2, to the nearest integer?\nAnswer: 21213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 63*f - 970. Give s(28).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10234 + 10234 + 375*n)*(-19*n - 5*n - 1 - n) as o + r*n + t*n**2 and give t.\nAnswer: -9375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**32)**(-28\/5)\/(v**(-21)\/(v*v*(v**(-4\/15)*v*v)\/v*v)))**13 assuming v is positive.\nAnswer: v**(7735\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24b (base 12) to base 15.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 383?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q + 20. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3352 - -3376. Let w be (-3)\/3*-1*6. What is the highest common divisor of d and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/12395 and 49\/1340.\nAnswer: 49580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/43, -13, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*g + 45 = -0*x, -5*x = -4*g - 138. Let d = x + 31. Suppose 5*h = k - 44, k = -3*k - 3*h + d. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 324, 493, 682, 897, 1144, 1429?\nAnswer: 1758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 439777 (base 13) to base 8\nAnswer: 6045145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*r + 721*r + 231*r.\nAnswer: 1060*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-324)\/(-36)*((-604)\/1359)\/(1\/6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*w + 716571 = 8*w + 3880921. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7766*k - 349461. What is b(-45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) - (sqrt(378)\/sqrt(6) + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5547 = 2*s - 351. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2394\/11 + 218. Let l(r) = r**2 - 19*r - 12. Let b be l(20). Calculate the common denominator of 188\/235*-79*1\/b and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 122120*i**2 + 244221*i**2 - 4*i**3 - 122101*i**2.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -26, -19, 22, 115, 278, 529?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 11) + -2 + 1 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + o**4 + 4*o**4 + (o**4 + 10*o**4 - 18*o**4)*(-4 + 3 - 1).\nAnswer: 21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 3\/4, 7, -663, -0.5, -2 in descending order.\nAnswer: 7, 3\/4, -1\/8, -0.5, -2, -663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/((-60)\/36)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/23 + 555237\/(-3808731)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 2. Suppose 324*w = 297*w - 50 - 31. Determine t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*j - 168 - 128 = 154 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6852 and 2382272.8.\nAnswer: 2389124.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -35*q**3 - 13*q**2 + 10*q - 1988. Let p(m) = -19*m**3 - 6*m**2 + 6*m - 994. Let y(v) = -5*p(v) + 3*u(v). What is the derivative of y(o) wrt o?\nAnswer: -30*o**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 27*l + 114. Calculate q(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-399)\/(-2) - (-24)\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 7 = -p. Let m(z) = -z**2 - 7*z + 3. Let j be m(p). Suppose 21 = -j*i + 9. Sort 2, 0, i.\nAnswer: i, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009339202 to 6 dps.\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6222 and 40817.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/10, -8, -938 in increasing order.\nAnswer: -938, -8, -9\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 326744 and 10080.\nAnswer: 411697440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 12*b**2 + 13*b - 4. Calculate m(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 8. Let q(r) = 2*r + 0*r**t - 2*r**2 - 2*r. Let x(s) = 7*s**2 + 5*s. Let p(c) = -22*c**2 - 16*c. Let n(y) = -5*p(y) - 16*x(y). Give q(n(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 6 - 4*h + 6*h + 6 to the form i + s*h and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49.1 - -46. Let g = l + 0.1. Let v = 1.2 - 1.4. Which is the closest to 0? (a) g (b) -0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(288) + (sqrt(12)\/sqrt(3))\/sqrt(2) + sqrt(2) + -4)*-3)**2*6 + 3.\nAnswer: -96768*sqrt(2) + 352515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3.2*12.1\nAnswer: -38.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*s - 7. Let v be 3 - 0*(-2)\/s. What is the third derivative of -6*l**2 + 2*l**3 + 0*l**v + 7*l**2 wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r. Let j(p) = 610077636*p**2. Calculate j(y(k)).\nAnswer: 2440310544*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40834689*a**2*t**2 + 24*a**2*t + 780447*a**2 - 2*t**4 + 2*t wrt t?\nAnswer: -81669378*a**2 - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.05 + 228.95. Let b = q - 230.6. Let x(a) = a**3 - a**2 - 3*a + 3. Let i be x(2). What is the third biggest value in 4, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3, 1\/4, 0.5, -1.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6999*z**5 - 18*z**4 - 86*z**3 - 1523418*z**2 + 67 wrt z.\nAnswer: 419940*z**2 - 432*z - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -351 - -549. Let f = o - 297. Let i = f - -98.939. Round i to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 145304 + -a5?\nAnswer: 14523d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 - 50 - 4*c**3 + 50.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 + 3*o + 73. What is y(-6)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/32*(-8)\/6*42\/168?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p = -0*p. Suppose 3*h - 5*i + 0*i - 53 = p, -5*h + 67 = -3*i. Calculate the remainder when 16 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -16*p. Let c(q) = -144*q - 149*q - 147*q + 598*q - 154*q. Determine w(c(s)).\nAnswer: -64*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/7)*n*n**(-31))**(-1\/36))**(2\/7))**17 assuming n is positive.\nAnswer: n**(1802\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 - 189. Let u = c + 21. Let o = 97.4 + u. What is the closest to -1 in -0.1, -0.02, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from loiofcu?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 999238 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2. Let h be -5 - 3\/6*-14. Let w(o) = -20*o**h + 18 - 30 + 12. Give l(w(r)).\nAnswer: 400*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013104137 rounded to seven decimal places?\nAnswer: 0.000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1146 * 71970.\nAnswer: -82477620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(8) + 0)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 413 and 4189.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22.334 and 0.1.\nAnswer: 2.2334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/r**(-2\/11)))\/r**(-2\/7)*(r**(-2\/5)*r)**(-37)*r**(-4\/7)\/(r\/r**0*r)*r\/(r\/r**(-5))*r\/((r**(-3)\/r)\/r) assuming r is positive.\nAnswer: r**(-9497\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m - 22 = -31*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0167656 weeks in hours?\nAnswer: 2.8166208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/216 and -49\/6312.\nAnswer: 56808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -6576 != -6576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b - 2*b)*(b**4 - b**4 - 2*b**4) + (b**2 - b**2 - 3*b**2)*(-20*b**3 - 66*b**2 + 66*b**2) - 4*b**5 + b**5 + 6*b**5.\nAnswer: 65*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 882 and 3132?\nAnswer: 153468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 935563\/606 + (-2)\/(-12) and 16?\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 7 + 5*s - 4*s + 3*s**3 - 13 to k*s**2 + m + v*s**3 + p*s and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2877812?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -28336622 smaller than -28336617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1622 is divided by 91.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + -7 + 1)*-2. Let g be 6\/(-15) + 27\/5. Solve -5*s = -s - l + 20, c*l = -g*s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -0*g - 5*g + a, 0 = 2*g - a - 7. Suppose -g*t = 5*i + 62, 0 - 10 = i + t. Let h = -113\/8 - i. What is the third biggest value in h, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2 + 70*i - 165 = 0. Calculate i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**3 - 44*s**2 + 338*s + 5123. Determine t(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.5? (a) 1\/86 (b) -1 (c) 4\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5263, -4344, -2809, -658?\n\"Answer: 308*p**2 - 5*p - 5566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6720*o - 1929*o - 2398*o - o**3 + 0*o**3 - 2393*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1296) + -3*sqrt(1296)) + sqrt(1296))\/(sqrt(1200)*3*5 + sqrt(1200) + sqrt(1200)).\nAnswer: -3*sqrt(3)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -292*c + 5. Let t(f) = -2*f. Give t(a(z)).\nAnswer: 584*z - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**2 + n - n + (-1 + 3 - 3)*(-2*n**2 - n**2 + n**2) - 4 + 3*n**2 + 4 - 29*n**2 - 28*n**2 + 17*n**2 + 0 - 2*n**2 + 0.\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3273273.\nAnswer: 3, 367, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -942\nAnswer: 1\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7147 (base 8) in base 2?\nAnswer: -111001100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 1 + 0 + 0 + (309 + 68*u - 309)*(0 - 1 + 4) + 20 - 20 + 8*u + 3*u + 3*u - 5*u to the form l*u + h and give l.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12858*b*l**3 - 1830*b*l**2 + 113318694*l**3 wrt b.\nAnswer: 12858*l**3 - 1830*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o\/o**(1\/41)*o*o*o))\/o**(-12\/13)*(o**(-12\/5))**(1\/14) assuming o is positive.\nAnswer: o**(-78798\/18655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - 60. Let q(u) = -u + 1. Let a(m) = m. Let t(c) = -2*a(c) - q(c). Determine t(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4582557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (9\/6)\/((-105)\/20)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55327034.\nAnswer: 2, 7, 71, 55661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 444 + -447. What are the prime factors of y\/7 - 13470\/(-21)?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c + 6*c - 168 = 0. Let p be c + 4*136\/(-96). Which is smaller: p or 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from {h: 2, n: 3, p: 1, k: 1, r: 3, u: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -179 divided by -88946\nAnswer: 179\/88946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1131, 1130, 1129?\n\"Answer: -m + 1132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - u**2 + u - 9. Give d(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 251 - 1009\/4. Let i = 27\/20 + m. Which is the third biggest value? (a) -3 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -500, 21\/8, 4, 1?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j + 168. What is the least common multiple of 8 and t(-17)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 19*x**2 + 38*x - 53. Is g(25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2 - 0) + (-2 - -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 97*0.052\nAnswer: 5.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499783 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 534 - 286. What is y rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687 = 9*j + 624 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -0.2. Let s = -0.2 + 0.3. Let c = 0.49 + 0.01. What is the third biggest value in f, c, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0.5 (c) 1 (d) 2 (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 3175b?\nAnswer: 31763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6251056463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 184707363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 485 + 1064. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 3492193252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 58. Let b be m(26). Let x be 8\/b - (-7)\/4. Differentiate -3*j**2 - 3*j**x + 0*j**2 + 79 - 49 with respect to j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 26 = o. Suppose k = x - 166, -14*k = -10*k + 3*x + 629. What is the common denominator of (-413)\/o + (k\/(-35) - 5) and -29\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/2)*l*((l*l**3)\/l*l*l)\/l*(l**(2\/3))**(-17) assuming l is positive.\nAnswer: l**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22497847627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1706?\nAnswer: -5\/1706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 4*n**2 - 333*n - 1321. Let m be i(-4). Solve -5*u + 3*s + m = -3*u, -2*u + 5*s = -17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28565706, -57131415, -85697124, -114262833, -142828542?\n\"Answer: -28565709*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/4 - 3*h**3 + 12*h**2 + 6*h + 2. What is the units digit of m(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 4:10 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (9 - (-177)\/(-18))*(-46)\/25 and -163\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*1*5)\/(-3*sqrt(45)).\nAnswer: -5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + 5. Let m be v(5). Let w be m\/4 - (0 + 0). Suppose -377 = -10*q + w*q - 4*z, -2*z = q - 73. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (1 + 0 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**3 + 11*q**2 - 5*q + 16. Let r(k) = k**3 + 2*k**2 - k + 3. Suppose -5*l = -2*l - 51. Let p = l + -6. What is p*r(i) - 2*t(i)?\nAnswer: i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - h + 2*h)*(0 + 0 - 1) + 7 - 7 - 16*h - 6*h + 2*h - 2*h + (3 - 2 - 3)*(-h + 0*h + 4*h) in the form p + o*h and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/12444, 3\/2530, -6?\nAnswer: -1\/12444","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24715220 to the power of 1\/2, to the nearest integer?\nAnswer: 4971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*d*k**3*q**2 + 8*d*k**3 - d*k**2*q**2 - 73768*d*q**3 + 11*d + 2*k**3*q**3 wrt q.\nAnswer: -442608*d + 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*a**4 + 2*a**3 - 57*a - 7301 wrt a?\nAnswer: 32*a**3 + 6*a**2 - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6218.3 - -6218. Let x = 7.6 + -9.65. Let j = x - -0.05. Which is the closest to 2? (a) 0.3 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/5 - -42*(-75)\/875. Suppose -5\/3*r**4 - 10*r**s - 25\/3*r**2 + 0 + 20*r = 0. Calculate r.\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61628.\nAnswer: 2, 7, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = 4. Suppose 0 = a + f*a. Let l = -4 - -9. What is the closest to a in -4, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - l**2 - 28*l + 14. What is g(-6)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 84307509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 5, -17 in ascending order.\nAnswer: -17, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Suppose 0 = -7*i + 3*i - 8. Let f be i\/y - (-18)\/(-4). What is the third smallest value in -1\/7, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6504 divided by -92\nAnswer: 1626\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 2:54 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-12))\/(174\/7569)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2839953 is divided by 83527?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10573919\/20 at least 528695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*z**2 - 481*z + 12*z**3 - 83*z**2 - 17*z**3 + 481*z + 4*z**3.\nAnswer: -z**3 - 340*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 - b70?\nAnswer: -b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573)*1 + -2 - sqrt(1573) - 2*(sqrt(1573) - -2*sqrt(1573)) - (-3 + sqrt(1573)*2 - ((sqrt(1573) - (sqrt(1573) + 1)) + 0)))**2.\nAnswer: 100672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, 7, -4, -25, -56, -97, -148?\n\"Answer: -5*m**2 + 14*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 874 divide 158878553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0 + 0*x + 1\/12*x**4 + 0*x**5 + 8*x**2 + 1\/15*x**6 + 0*x**3. Find the second derivative of l(a) wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*x**3 - 99*x**3 + 34*x**3 + 27*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, 4, 1\/2, 2\/7, 11, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) -9 (c) 2\/7 (d) 0.2 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 575556320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -208 + 210. Suppose z*l - 3*x = -63806, l + x - 2865 = -34763. Round l to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(1 + 27\/(-5)). Let p = -18 - -43. Let q = p - 14. What is the highest common factor of q and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 130 - 135, -2*p + 3470 = -2*d. What is p rounded to the nearest 10?\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0*p**6 - 34\/3*p**3 + 0*p**4 + 16*p + 1 + 0*p**5 + 0*p**2 - 5\/14*p**7. Find the second derivative of k(j) wrt j.\nAnswer: -300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i + 23*i = -945. Calculate the remainder when i is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 1 - (10\/(-105) + (-1258633)\/21). Round h to the nearest one hundred.\nAnswer: 59900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -20*k**2 - 2*k. Let s be u(2). Let r(m) = 29*m + 2. Let z be r(5). Let p = s + z. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(-3\/4)*o)\/o))\/o)**(-8\/3)\/(o**(1\/2))**(1\/75) assuming o is positive.\nAnswer: o**(-301\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4605 - 2305. What is the greatest common factor of v and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50485426.\nAnswer: 2, 47, 537079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f + 46 = m, 0 = 5*m + 5*f - 255. What is the remainder when m is divided by (348\/(-24))\/((-1)\/2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*y - 1. What is the remainder when 2\/(-5) - 274\/(-10) is divided by -5*(3 + (-7 - y))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 - -23. Let c = 98 + p. Let u = c + -36. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34260 and 325524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -41758, -41766, -41778, -41794, -41814, -41838, -41866?\n\"Answer: -2*o**2 - 2*o - 41754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333348195.\nAnswer: 3, 5, 71, 313003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*k + 36, -5*b - 5*k + 62 - 67 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 578*u - 4 + 4*u)*(0*u - 3*u + 0*u).\nAnswer: 1722*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s + 4932 = 4916 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -65730a (base 11) in base 9?\nAnswer: -1868208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, 4, 10, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/2, -5778.\nAnswer: -5778, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-21)*d*d**28*d\/d**(-1\/10)*d**(-1\/17) assuming d is positive.\nAnswer: d**(1537\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**4\/2 - 572*v**3\/3 - v**2 + 572*v - 9339. Let o(r) = 0. What is r?\nAnswer: -1, 1, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64149010 rounded to the nearest 1000000?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-52)\/24 - 125\/(-30). Suppose t*u - c = 34 - 16, -3*u + 8 = 2*c. Solve -s - 4 = -0*s + u*q, 12 = -3*s - 5*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2 = -2*p, 6*p = 7*p - 2*o + 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/7096505 and 32\/9.\nAnswer: 63868545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12603, -50429, -113471, -201729, -315203, -453893?\nAnswer: -617799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10436 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119 - -218. Suppose -4*k = -3*k - 4*q - 33, -5*k = 3*q - 280. Suppose k = 4*x + 17. Calculate the highest common factor of x and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.688 - 12.717098. Round x to four dps.\nAnswer: -0.0291","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 6\/73273, -4, 0.5, -2, 0, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*t - 305 - 1 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -277 - -233. Sort 0.5, m, 0.2 in increasing order.\nAnswer: m, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029 greater than 2049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/9, 37, 2\/5 in descending order.\nAnswer: 37, 2\/5, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/12*(-1)\/(-6)*27\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-14)\/k**3)\/(k**(-4\/11)\/k**(-3)))**(-15) assuming k is positive.\nAnswer: k**(3240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + (sqrt(88)\/(sqrt(11) - (sqrt(11) + sqrt(55)\/sqrt(5))))**2.\nAnswer: 2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008779 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -0.1, 52, 4\/9, -33, 0.4 in descending order.\nAnswer: 52, 4, 4\/9, 0.4, -0.1, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 5*q**2 + 3*q - 8. Give b(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.57051 - -0.03651. Let m = -68.544 + s. Let l = 0.122 - m. Round l to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 15 = -5*i. Suppose r + 0*q = -i*q + 49, -77 = -r + 2*q. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrwrxw. Give prob of sequence rx.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/8 of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.11643069 * -4\nAnswer: -0.46572276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p - 8. Let r = 7 - -5. What is the units digit of k(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-135)\/6)\/(2\/(-4)). Let f be (p\/27)\/((-10)\/(-12)). Suppose -5*i = -3*u + 2705, f*u = -0*i + i + 1801. What is u rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 539233\/220 + -34883\/20. Let g(u) be the first derivative of -2592\/11*u**2 - 6\/55*u**5 + 11 - 36\/11*u**4 - 432\/11*u**3 - z*u. Factor g(a).\nAnswer: -6*(a + 6)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22547 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.12993 less than -0.0425?\nAnswer: 1.08743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.09 and 0.1.\nAnswer: -2.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) + 102\/24. Let n = u + 2. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 106 = 3*j + j, 0 = 5*j. Let s = 296 - 293. Sort k, -3, s in descending order.\nAnswer: k, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 + 102. Suppose -10 + 1 = -g. Let f be (6\/(-28))\/(g\/(-12)). Which is the second biggest value? (a) f (b) -2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 49427 = -v + 2753, -o + 5*v = -11640. What are the prime factors of o?\nAnswer: 2, 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (-15 - -50 - 45)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 1. Let w be 1\/(-4) - 164\/(-16). Let a = 18 + -10. Calculate the remainder when o(w) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 11*q**5\/30 - 1382*q**2. Let r(t) = t**2 - 46. Calculate s(r(c)).\nAnswer: 22*c**4 - 2024*c**2 + 46552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31916, 65410, 98906, 132404, 165904?\n\"Answer: v**2 + 33491*v - 1576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-8) - (6 - (-115)\/(-20)). Let b be 9 + i\/(-3)*-3. Solve -y = 13 - b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(-2 + 2*o + 2) + (-5 + 1 + 2)*(3*o + 2*o - 3*o) + 6*o - 12 + 12.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -1065?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itik. What is prob of picking 1 k and 1 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22194 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 + 127474*x**2\/3 + 2031393782*x\/3 + 2031011378.\nAnswer: 2*(x + 3)*(x + 31867)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2743 - 622504?\nAnswer: -618651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6222)\/(-22814)*143\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 793 = -999. Suppose -8*x = -a - 128. Calculate the smallest common multiple of x and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -38*k**3 + k**2 + 14*k + 17. Let p(c) = 150*c**3 - 3*c**2 - 52*c - 66. What is 3*p(w) + 11*r(w)?\nAnswer: 32*w**3 + 2*w**2 - 2*w - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*f = -69 + 829 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 14*n - 146. Suppose q = -h + 38, -6*q + 2*q - h = -n. What is the highest common divisor of q and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4547*u + 47423 = 156551 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.45511mm?\nAnswer: 8455110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 114 = 4*s. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2148826 - 182?\nAnswer: -2149008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.7, -36, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111071*v**6 + 2*v**2 + 1348943*v.\nAnswer: 13328520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1158*s**2 - 25*s**3 - 1158*s**2.\nAnswer: -25*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.19 (b) -6\/5 (c) 5 (d) -2\/239 (e) 0.2 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Suppose 0 = 5*k - 2*h + 83, k + 7 = q*h - 4*h. Let b be k\/90 - (-46)\/132. What is the biggest value in b, 5, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 195024051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12639 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**2 - 1252085*m + 22535910 = 0?\nAnswer: 18, 250399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3072638, 3072636, 3072634?\nAnswer: 3072632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2946840 by 147342.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 255*d*h**2 + 1055016*d + 1088*h**3 wrt h?\nAnswer: 510*d*h + 3264*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + -2 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 103 - 4. Let r = -18 + j. Calculate the remainder when r is divided by -3*(-10)\/15*(-18)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 30. Let n be l\/((-5)\/630*3). Let z = n + -18. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157832 divided by -724.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106830485 to the nearest integer?\nAnswer: 10336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -317.246 + -0.754. Let r = -333 - p. Which is the closest to 1? (a) r (b) -2\/13 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.28*-0.105701\nAnswer: 0.13529728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 151 - 136 = 20*s, 3*o = 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.407 - 2.407. What is the fourth biggest value in 0.5, -4, r, -0.21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 588, 2041, 4856, 9483?\nAnswer: 16372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22863846?\nAnswer: 2, 3, 71, 191, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219 + -217.72. Let o = x - 1.27999838. What is o rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 0*g - 5\/6*g**4 + 0*g**6 + 0 - 10*g**2 + 0*g**7 + 0*g**5 - 1\/112*g**8 + 0*g**3. Find the second derivative of v(r) wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -973 - 182 = -7*t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10325 + -2 + 10)*(4 + -3)?\nAnswer: 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - -1*sqrt(19)*-5) + (sqrt(76) + sqrt(76)*-2)\/sqrt(4) + -4 + (-3 + (sqrt(171) - sqrt(19)))**2)*4.\nAnswer: -68*sqrt(19) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - x + 8 = 0, 0 = -c - 3*x - 2*x - 32. Let u(j) = 4*j + 12. Let l be u(c). Is (-2856)\/l + 1\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 + -2. Let g(o) = 0*o**2 + o**3 + 5 - o - 6*o - 5*o**2. Let c be g(6). What is the nearest to c in m, -2, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 10 = -4*b + 16, -4*s + 4 = 6*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)*p*p)\/p*p**(-2\/15)*p)\/((p*p*p*p**3)\/(p*p\/(p*p*p\/((p\/p**(-3\/2)*p*p)\/p)))) assuming p is positive.\nAnswer: p**(-229\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 1485249?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**2 + 2*n - 2. Let f(w) = 190*w**2 - 55*w + 55. Calculate 110*c(b) + 4*f(b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10 + s + 5 + 10 + 6*s**2 - 25. What is r(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5910\/(-1576))\/((-15)\/(-6))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 6 + 46. Let c = a + 11. What is the units digit of 14 - ((-5)\/c - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73\/219)\/(4\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 - 2*f + 0.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-18))**(4\/27))**(-28))**(-2\/11))**(-13) assuming n is positive.\nAnswer: n**(5824\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f\/((f\/f**(-13))\/f)*f)\/f)*f)\/f*f*f\/(f\/(f**(-19)\/f)) assuming f is positive.\nAnswer: f**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*j = 23*j - 32 + 140 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from cccuycy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z\/z**(9\/4))\/(z\/(z\/(z*z**5\/z))*z)*z**13\/(z*z*z**(-5)*z*z) assuming z is positive.\nAnswer: z**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229395\/41276 - -3\/2428. Let o = q + -1639\/119. What is the common denominator of o and -17\/252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346051.\nAnswer: 41, 81611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 34*p**2 + 2*p + 1. Does 11 divide v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 20 = 5*y, -32 = 3*x - 4*y - 48 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1529543*p**4 - 129*p + 49 wrt p?\nAnswer: 18354516*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 163942955 to the power of 1\/3, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231074 - 63745. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*s - 13*s - 8701308 = -98*s. Is s a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/25 or -46711?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*i = 87*i + 72. What is the units digit of (2049\/2 - 3)*12\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 7 = -h, -3*h + 28 = h - 3*c. Suppose -8*g + h*g = -11. Let y(m) = -m**2 - 7*m - 3. What is the lowest common multiple of y(-6) and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1843278.\nAnswer: 2, 3, 41, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**3 - 101*q**2 - 461*q + 10. Let n(l) = 4*l**3 + 49*l**2 + 231*l - 4. Let i(d) = -5*n(d) - 2*y(d). What is the second derivative of i(v) wrt v?\nAnswer: -36*v - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -374 + 388. Calculate the remainder when 503 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126576.63ms to hours.\nAnswer: 0.035160175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 + 15508 - 15508.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4095778 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6909 is divided by 91.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106341*h**3 - 28568 with respect to h.\nAnswer: -319023*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*i**4 - 2*i**3 + 2*i**4 + 139 + 32*i**2 - 31*i**2 + i - i**4 - 138 to the form v*i + g*i**2 + t*i**4 + n*i**3 + w and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-25))\/(-2)*5\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = -15*h + 19*h. Let m = h + -34. Does 15 divide 1772\/m + 8\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*x - 2*m - 84, 0 = x + 4*m - 42. Let g = -37 + x. Solve -4*d = -g*s - 9, 8*d - 5*s - 10 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -16*p + 5. Suppose -4*c = 20, 3*x - 19*c = -15*c + 32. Let y(q) = -15*q + 4. What is x*g(l) - 5*y(l)?\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.515765 millimeters?\nAnswer: 6515765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3 - 3 + 5*o. Let n be (-4 - 0) + 537 + -4. Let t = 532 - n. Give u(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.01169.\nAnswer: -0.004676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in years?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1116 (b) -3 (c) -5\/4 (d) -1\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, 0.107, 0, -1.319 in decreasing order.\nAnswer: 0.16, 0.107, 0, -1.319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10574 or -1446?\nAnswer: -1446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 3*d**2 - 4*d - 2. Let l(z) = z**2 - 4*z - 3. Let t be l(0). List the prime factors of q(t).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22\/21 - -10\/21. Let n be 0\/((-5 + 3)\/(-1)). Is n less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33039822*v**3 - 38746292*v**2 wrt v.\nAnswer: 198238932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3552934 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 104128546.\nAnswer: 312385638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1040, -2081, -3122?\nAnswer: -4163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000707415 rounded to six dps?\nAnswer: 0.000707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, r: 1, p: 1, s: 1, t: 1}. Give prob of sequence rsk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*a + 196 = 0, 5*h = 58*a - 57*a + 331. Calculate the greatest common divisor of h and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1263 + 1279. Solve -12*m + 16 = -o*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 11:45 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8232\/(-10))\/((-6)\/45).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 159 = 25. Suppose 2*u - 68 = m. Suppose z - 184 + u = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4588 = -2*u - 5*y - 4607, 0 = -4*y - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -p - 9, 3*p + 6*z - 12*z + 11*z = 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.037\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n. Let m(z) = 4*z**2 + 3*z + 3. Let x(i) = 2*i**2 + 2*i + 2. Let a(c) = -2*m(c) + 3*x(c). What is h(a(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3807 and 22936.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*m + 1188. Let s = m + 89. Let k = 2 - s. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3492*f**3 - 15*f**2 - 72 - 18*f**2 - 3488*f**3 - 7*f**2 + 108*f = 0.\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.14 (b) 5 (c) 7553\/11 (d) 2\/11 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7905672*r - 1978 = -7905629*r for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -28 (c) -1\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136845.57 months in decades?\nAnswer: 1140.37975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {h: 2, y: 3, c: 1, t: 1, l: 3, n: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -294 by 49.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-18)\/6 - (0 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + 0.1. Let i be 26\/(-208) - (-95)\/120. Suppose -10 + 0 = 2*z. Which is the closest to d? (a) -4 (b) z (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pajb when four letters picked without replacement from nnqnpjnnanaqqqb?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4910 divided by 5\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + -3 + 4 + (sqrt(68))**2.\nAnswer: 10*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 226, 347, 472?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z**3 - z**2 + 247*z - 1452. What is q(6)?\nAnswer: -1302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 + 1276*n**2 + 1815 + 90*n**3 - 1587*n - 503*n - 1096*n**2.\nAnswer: 5*(n - 3)*(n - 1)*(n + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + -4 + -1*sqrt(8).\nAnswer: -4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -23)*1\/(558\/27). Let p = w - -729\/248. What is the common denominator of p and (-78)\/(-40) - (-2 + 1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q**2 + 0*q)*(7 - 72 + 7692*q**2 + 7 + 9234*q**2 + 58).\nAnswer: 16926*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-7 - (1 + -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-16)\/8*12\/(-28)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 26 = 127. Let m be 6\/(-9) - a\/(-9). Sort m, 0, 4 in descending order.\nAnswer: m, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((104\/3)\/(-4))\/(57\/(10089\/118)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -328 * -106.97.\nAnswer: 35086.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*t - 340*t = 116 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1173*j - 454*j - 359*j - 348*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -239*d - 542. Determine p(0).\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18*i + 2520. Determine w(-48).\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 4273, -2, 2\/7, 0.3, -1.6 in decreasing order.\nAnswer: 4273, 0.3, 2\/7, -2\/5, -1.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, 4, 6 in increasing order.\nAnswer: 4, 5, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -5*p**4\/24 - 26*p**3 - 7*p**2 - 8*p. Let s be d(-28). Which is greater: s or -31\/2?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.43 and -1713302268507?\nAnswer: 1713302268504.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 1.02, 300, -1, -3, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 0.1, -2\/13, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 65\/(-26)*-4*1. Suppose 2*z + y - f = 3*y, 3*z = 2*y + 16. Suppose 0 = -s - 2 + z. Solve 2*q - 10 = 4*x, 4*q - s*x = 5*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 5 - 0) + 1 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**0*n)**(6\/17))**(2\/13))**(-17) assuming n is positive.\nAnswer: n**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 149111765 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 25 = 3*q, 2*z - 60*q = 19*q + 93*q - 724 - 152 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124.9 - 125. Which is the smallest value? (a) -4 (b) 0.27 (c) 5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**17*q**(-19)*(q**(-34)*q)\/q**(-18))**(7\/5) assuming q is positive.\nAnswer: q**(-119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/6166 + 12365\/67826. What is the fifth biggest value in c, 4\/5, 17, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11093\/1596 - 154\/19. What is the common denominator of q and -2\/119?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -9. Suppose c*f + 23000 = 27*f. Round f to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 180 = -0*g. What is the highest common divisor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1954 or -1967?\nAnswer: -1954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.92? (a) 0.05 (b) 9 (c) -148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1579 (base 14) to base 8\nAnswer: 7367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2968*v - 57. What is m(0)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 5682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmf when three letters picked without replacement from {n: 2, f: 1, m: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -27*a - 79. Let b be u(-3). Suppose -3*q + 4*d = -237 - 378, -b*d = 2*q - 424. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 32*w - 30*w. Solve 2*r = -2*l + w, -3*l + 2*r = 4*r - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v - 115. Let w be k(-9). Let n be (-20)\/(-8)*(-70)\/w. Let j(f) = -3*f + 1. Let d(p) = 2*p - 1. Determine n*d(l) + 6*j(l).\nAnswer: -4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1791 - 4404 - 2423)*(2*x + 1 - 1).\nAnswer: -17236*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 34.6 + 159639\nAnswer: 159673.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f**3 + 115*f**2 + 15*f**3 - 118*f**2.\nAnswer: 37*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2910, 2593, 2170, 1647, 1030?\n\"Answer: f**3 - 59*f**2 - 147*f + 3115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*n + 0*n + 3*n + 6)*(4 + 0 - 2 + n).\nAnswer: 42*n**2 + 90*n + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (45\/63)\/((-2013)\/23485)\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306 divided by 15995.\nAnswer: 306\/15995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 74*p - 78. Suppose 2*g = -5*m - 56, 4*g + 5*m - 38 + 160 = 0. List the prime factors of k(g).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of -729*(-6 + (-17)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 9 = 1. Suppose -r*j + 16 = -8. Let w(k) = -k**3 + 7*k**2 - 7*k + 3. What is w(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 29 = -3*p, 0*x - 2 = -2*x - 4*p. Let q(w) = -4*w - 7. Suppose 12 = 2*b + 2*b. Let c(o) = 2 - 1 - 2*o - 5. Give b*q(n) + x*c(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 9. Let g be 1*((-45)\/r - 2). Let y = g - -21. What is the lowest common multiple of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 431914 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33, -35, -37?\n\"Answer: -2*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3309781 is divided by 2546.\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 226*f + 2936. Determine o(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 750\/(-54) + 14 - (-514)\/(-9). Put f, 5, -1 in decreasing order.\nAnswer: 5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2795 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/18 + (-468)\/81 + 2899\/481?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.821 times 46\nAnswer: 37.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + 21011?\nAnswer: 21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 31*t = 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5*n - 78 = 0, -5*n = 7250*u - 7247*u - 72 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(3*(-4 - 55\/(-15))). Solve 20 = -v*w - 0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.2 (c) 1 (d) 0.01 (e) 2\/67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.1, -2\/9, 0.0687, 0.\nAnswer: -0.4, -2\/9, 0, 0.0687, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o**2 - 3*o**2 + 3*o**2 to the form x*o + u*o**2 + z and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27734 + -27730. Let v = 0 - 0.4. Let m = -4 + -6. What is the third smallest value in 2, g, m, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 t when three letters picked without replacement from {t: 1, p: 2, w: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(-4)*(17 - 5). Let f = 228 - p. Let o be (-6)\/(-2) - f*-145283. Round o to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*f - 43, 4*q - 22 = -5*f + 59. Suppose 11*r = q*r + 1719. Let h = r - -810. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**5 - 6963*s**4 - 63*s**3 - 26*s**2 + 8755*s + 1 wrt s?\nAnswer: -120*s**2 - 167112*s - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 14*y**2 - 13*y + 56. Let g(z) = -5*z**2 + 4*z - 19. Let h(w) = 6*a(w) + 17*g(w). Is 13 a factor of h(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87481*l**2*s**3 - 2*l**2*s - 31*l**2 + 7 wrt s?\nAnswer: -524886*l**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 7150, -4, -25\/6, 1\/6 in decreasing order.\nAnswer: 7150, 3\/2, 1\/6, -4, -25\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1062, -647, 38, 987, 2194?\n\"Answer: -i**3 + 141*i**2 - i - 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 16 = 3*j, -401*g + 25 = -403*g - 5*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 1. Let f = 14 + -13.5. Let g be 2\/30 - 6\/15. Put f, g, u in descending order.\nAnswer: u, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -177, -222, -295, -402, -549?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:15 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1661*d**3 + 1099*d**2 + 6*d - 98789712 wrt d.\nAnswer: -4983*d**2 + 2198*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 176 = -2*o, 0*o = -2*o + 2*p + 164. Let r = 13 + -28. Let q = o - r. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/27 + 1275205594\/(-18). Let c = 39644755 + b. Round c to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*c - 3*c. Let r be -1 + 1 - (c + -2). Put 4, -4, r in descending order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405*u + 4 = 406*u. Solve 3*k = u*l - 5, 3*k + 6 = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 4 - 4 + (4 - 3 - 3)*(15 - 15 + 6*h**2) - 2*h**2 + 0 + 0.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 6*w - 5. Let b(g) = -5*g + 1. Let q be b(-1). Let p be t(q). Let h = -20 + p. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 11:13 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*d**2 - 3*d - 17*d**2 + 38*d**2)*(-4 + 4 - 2*d**2) as h*d**2 + z*d**4 + x*d + s + g*d**3 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 60585?\nAnswer: -60607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-2.378545\nAnswer: 0.951418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 1, z: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -559883?\nAnswer: -559883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h**(-1\/10)*h))\/(h*h*h**(-1)))\/(h*h\/h**(2\/5))**43 assuming h is positive.\nAnswer: h**(-717\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3993997249 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: Convert 1 (base 11) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 649161497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40, 66, 94, 124?\n\"Answer: m**2 + 23*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12040)\/(-2838))\/((-546)\/(-1716))*(2*1)\/(-2).\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 + 34\/8. Suppose -5*q = -11 - f. What is the derivative of -i - q + i + i - 2*i wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 3. Let d(l) = 25*l - 1. Let i(u) = 320*u - 30. Let p(m) = 26*d(m) - 2*i(m). Calculate 6*p(r) - 68*q(r).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 106\/22 - 12\/(-66). Suppose -f*q + 7 = -3. Let p(r) = -r**3 + 2*r - 1. Give p(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*d**3*r**3 + 106*d**3*r**2 - 21*d**3*r + 855*d**2*r**3 - 2*d**2*r - 5*d*r**3 - 2*r**2 + 3*r wrt r.\nAnswer: 192*d**3 + 5130*d**2 - 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -95*w + 91. Let r(q) = -102*q + 92. Let f(x) = 13*r(x) - 14*v(x). Determine f(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 897693682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + 2*g**2 - 1. Suppose 5*j = -40 + 570. Let i(n) = -n**3 + n**2 - 107. Let l be i(0). Let p = l + j. Determine r(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -6069*d**2 + 3129*d**2 + 2941*d**2 + 1302*d + 423801 = 0?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 499.44 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 215 - 62 = 0. Solve -2*n - 13 + q = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -51?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463758841?\nAnswer: 7, 13, 5096251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/8 of a day?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3)*9\/(-6) - 0. Factor i*x**2 + 0 + 0*x - 1\/4*x**3.\nAnswer: -x**2*(x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13*n**2. Let m(w) = -259*w**2 - 2. Give m(c(i)).\nAnswer: -43771*i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 5, -27, -23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2172 = q, 0 = -3*q + n + 3067 + 3433. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooo. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + l = -20203, -66*x = -61*x + 3*l + 20209. Round x to the nearest 100.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1276 = 3*t - 0*t, 4 = 2*g. Let d = t - -632. Suppose -2*k - 4*o = 3*k - d, k - 5*o = 13. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y)*(0*y + 2*y - y)*(-43*y + 631*y - 102*y - 3 - 2*y + 3 - 1 + 3*y + 1 + (1 - 1 + 2)*(-2*y - 1 + 1) + 3*y - 3*y - 2*y + 2*y + 2*y - 5*y).\nAnswer: -960*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 378?\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + f**2 + f + 8. Let q be y(0). Let u = q + -10. Is 2 - (u + -34 + -1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -237970 divided by 10\nAnswer: -23797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21274.76 rounded to the nearest one hundred?\nAnswer: 21300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 319, 0, 2, 671, 4 in descending order.\nAnswer: 671, 319, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 12. Let r be 6\/3 + (10 - 5). Let c be z(r). Suppose -c*h + 4 = -4. Solve 0 = -h*d + 2 + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 314 = -5*j, j - 13 + 12 = 0. Calculate the greatest common divisor of z and 721.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*l - 305*l + 1060*l - 25431 = 0 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/2 + -24. Find the common denominator of w and -31\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 3*o - 4. Suppose -5*u + 5*x - 15 = -0*x, u - 3*x = -3. Determine y(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + 23 - 25 - (3 - (-2 + 8) - 0).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21602376, -21602375, -21602374, -21602373?\nAnswer: -21602372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 16*t**3 - 14*t**2 - t + 51. What is the remainder when p(6) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/11, -3\/2, 3, -2, 1.37.\nAnswer: -2, -3\/2, 0.1, 2\/11, 1.37, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-110) + (1 - 0)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = l + 54. Let n be -1 - (21\/l + 1). What is the second smallest value in n, -0.06, -1\/2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 696 and -5?\nAnswer: -3480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(87\/(-53)))\/5. Let v = 1\/29 + i. What is the third smallest value in 2, -1\/5, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8053 is divided by 8030.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22739744?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12075*a**3*n - a**3 + 29*a**2*n - 2*a**2 - a*n - 412818*a - n wrt a?\nAnswer: 72450*a*n - 6*a + 58*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 554095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z**3 - 475*z**3 + 999*z**3 + z**2 + 1079*z**3.\nAnswer: 1579*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 804 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -57393a (base 12) in base 13?\nAnswer: -39b452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/13618 and 111\/88?\nAnswer: 54472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15688 and 35224.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 193, 8, 2 in decreasing order.\nAnswer: 193, 8, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -257 - -262. Let o be ((-180)\/32 + k)*(-1)\/(-5). What is the smallest value in -21, -0.2, o?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from klkhhkkchckhlkcchh?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 210\/(-55) + 8\/2. What is the closest to 3 in w, -2\/9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 12*l - 43. Give b(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(-621))\/(2\/(-6))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g**3 + 5*g**2 - 17*g + 2. Let j(f) = -16*f**3 + 10*f**2 - 36*f + 6. Let w(n) = -4*j(n) + 9*t(n). Determine w(-7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2860.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/12252 and -44\/3.\nAnswer: 12252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uew when three letters picked without replacement from {g: 5, m: 3, e: 1, w: 5, u: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 254894 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*t + 18, -6 = 3*n - 8*n + 2*t. What is the nearest to -2 in 3, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020166392 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i + 140790 = -45*i + 30*i. Suppose 8369 = 5*l + 2569. Let q = i + l. What is q rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/8, -59.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -15 (c) -3.6 (d) 0.5 (e) 1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 998210 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 322783232 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s + 3*n + 129, 0 = 4*n + 12. Do 2\/3 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4784, -122.\nAnswer: -122, -4, 4784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1233*g - 24310 = 791*g for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -302 - 296 + 596 + 6*u. Let q(h) = h. Let d(o) = -o**3 + 2*o**2 + 5*o - 5. Let m be d(3). What is m*y(k) - 5*q(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366048044.\nAnswer: 2, 91512011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 98947116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557381772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8055\/3938)\/((-180)\/(-198)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2) - (-4 - -3). Suppose -3*q = o - 7. What is the second derivative of -4*r + 2*r + r + q*r**4 wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(21\/54) - -2. Let h = -303.6404 - -0.2404. Let z = h + 303. Which is the second biggest value? (a) -24 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.4, 2\/11, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1993*w = 2116*w - 7675 - 1304 for w.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 770, 0, 11, -3, 4 in descending order.\nAnswer: 770, 11, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.114 and 0.4?\nAnswer: 0.0456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {b: 7, k: 4, n: 6}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 5*a**2 + 24*a - 2. What is the lowest common multiple of o(4) and ((-880)\/24)\/((-1)\/3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 6*t - 11. Give z(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 192*h**3 + 39*h**2 - 39*h - 1. Calculate r(1).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1536049145 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/12*1*-36. Let f = s + 5. Let i be 1 - (f\/(-6) - 4). Sort -0.5, 8, i in ascending order.\nAnswer: -0.5, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 + 1)*(-166 + (1 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3420, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -110022.\nAnswer: -11002.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36\/1109 - -88187\/17744. What is the common denominator of 25\/2 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*6 - sqrt(5) - (sqrt(40)\/sqrt(4))\/sqrt(2))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -8. Suppose 0 = -2*h + 12 + 28. Suppose 0 = i*f - 0*f - h, 0 = -3*l + 3*f. Solve l*x - x = 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 306, -29.8113?\nAnswer: -29.8113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 10 = u + 5*h, -h = 5*u - 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -251?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 14*o**3 + 1315*o**2 - 87*o - 561. Calculate b(-94).\nAnswer: -1219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7551\/1181924 - 5\/2668. Let i = k + -936\/11075. Let g = -1.19 + 1.09. Put -3, i, g in increasing order.\nAnswer: -3, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-136 - -135)\/(-8 + 1440\/184)\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -11. Suppose 48*c + b = 53*c. Let j(l) = -2*l**2 + 5*l. Give j(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 14*o = -32, 2*o = -1897*s + 1896*s + 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*o = -300*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3 + 402*i**2 - 4404*i wrt i.\nAnswer: -6*i + 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**8\/560 - p**5\/120 - p**3\/6 - 2*p**2. Let b(n) be the first derivative of k(n). Find the second derivative of b(z) wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 798*x + 5890 - 1102 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-70) - 0)\/((-1)\/3)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**6\/6 - 62*i**3\/3 + 95*i**2\/2 - 29. What is the second derivative of b(m) wrt m?\nAnswer: -20*m**3 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/2486 + 61531\/6215. What is the common denominator of u and 1\/26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3 - 18. Is h equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159 divided by 3\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:07 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i - 24*i - 9*i)*(0*i - 3*i**2 + 0*i)*(4*i - 4*i - 6*i).\nAnswer: -756*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217\/124*83\/249.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*a**3*g**3 + 2*a**3*g + 45305*a*g**3 + 3*a*g**2 - 6*a*g - 333*a + 4*g**3 - 3 wrt g?\nAnswer: -84*a**3 + 271830*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p. Let r be o(2). What are the prime factors of (-6*1)\/(15\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 273*k - 12608. What is u(173)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/4 - 12\/16. Suppose 3*j + 8 = -w, 0 = w - j + v*j. Let b be 0*w\/8 + 0. Solve 10 + b = -5*d - 5*c, 0 = 5*d - 2*c + 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 17 + 0)*(-z**5 - 5*z**5 + 4*z**5 + (2*z**5 - 4 + 4)*(-3 - 1 - 4) - 8 + 8 + 5*z**5 + (3 - 1 - 1)*(-2*z**5 - 4*z**5 + 3*z**5)).\nAnswer: 368*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3950000 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 2. Solve 4*a - a**3 + 3*a**2 - s*a + 1 - 5*a = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (14 - -1) + (-8 - -17 - 6) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2 + 1 - 1. Let z = -1 + 3. Let p(m) = -3*m**2 + m**2 + 3*m**z + 2*m**2. Determine t(p(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3\/4 - 20*u**2 - 385*u\/4 - 245\/2.\nAnswer: -5*(u + 2)*(u + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/45 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 424\/1060*15\/(-111)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/19509 + 28225\/442204. Calculate the common denominator of (-21 + 6370\/280)\/(8\/18*3) and x.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**3 - 3*p**2 + p + 4. What is the units digit of o(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 1 (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 1714.\nAnswer: 3428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 636*i**3 - 1280*i**2 + 16*i = 0?\nAnswer: 0, 2\/159, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - p**2 - 2*p**2)*(0 - 2 + 3 - p**3) + 7*p**5 - 31*p**2 + 31*p**2.\nAnswer: 8*p**5 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2386295421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010010 - 10?\nAnswer: -11010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -101917822 and 0.32.\nAnswer: -101917821.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 - 7\/14. Suppose 5*w - 3*u + 3 - 17 = i, -2*u = 6. Is 0 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4 - (-162)\/72. Suppose -4*s = -f*s - 249. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-605)\/(-44))\/(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 1. Let l = 3 + 3. Suppose -3*d + 5 = 2*d. Let g(j) = 2*j**3 + 6*j**2 - 2*j - 6. What is d*g(u) + l*v(u)?\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3175 by 5.\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - (-3 - 98\/(-420)) and 1 - (75\/(-108))\/(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjjsjjjjjjjjsj. What is prob of sequence ssjs?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = 277*y - 850*y + 3266 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-1)\/k)\/k)**44)**0)**(-15) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 1105712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**(1\/10)*a))\/a)\/((a\/(a**(-11)\/a))\/a*a)*(a**(-3))**(-9\/2))**30)**46 assuming a is positive.\nAnswer: a**(-828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 13. Let k(q) be the second derivative of 0*q**2 - 1\/12*q**4 + 0 + 0*q**3 + 1\/10*q**5 + b*q. Find the third derivative of k(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 283 - -95. Let n = 604 - c. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/12*(-6)\/4. Suppose -3*c + 15 = 0, -5*j + n = 2*c - 29. Suppose 4*a - 6*a - z + 71 = 0, 4*z = -j*a + 136. Round a to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13477159 is divided by 5059?\nAnswer: 5042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6371*r - 627*r - 86*r)*(16 - 3 + 0) to the form a*r + j and give a.\nAnswer: 73554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88985406 is divided by 61.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57778 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgmjrrrmpgra. Give prob of sequence mpmg.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*b - 10 + 49*b - 25*b to the form y + t*b and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = d - 85. Let i(h) = -h**3 - 12*h**2 + 33*h + 14. Is i(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 20, 2*s - 5*c + 53 = -6*c. Let y be (-2 - s\/15)\/((-27)\/90). Factor -y*n**2 + 2\/3*n + 0.\nAnswer: -2*n*(n - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*i + 4*i = 0, -y - 1 = 12*i - 13*i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*i - 4 = 0, -5*w + 5*i + 215 = 0. What is the remainder when 139 is divided by w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 10*l**2 - 8*l + 13. Let j(z) = 2*z**2 + 10*z + 8. Let x be j(-7). Let f = 26 - x. Is q(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 1) + (21 - 16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72\/301 + 2\/43. What is the second smallest value in 0.1, p, 2\/23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54\/31 or 3?\nAnswer: 54\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/16*2\/9. Let p = 280\/9 - 94\/3. Which is the nearest to x? (a) 0 (b) p (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 36 + 142 + 2*k - 2*k - 56 to a + u*k and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -74946?\nAnswer: -224838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 0*u**4 - u**3 - 2*u**4 + 6 + 0 - 4*u to y + j*u**2 + k*u**3 + q*u**4 + r*u and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 y, and 1 t when three letters picked without replacement from tcxyz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3377802 is divided by 84?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**2\/2 + 2*p + 2. Let y be 3 - (3 + 5 - (-2 + 4)). What are the prime factors of b(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 6*j - 4 + 0*j**2 - 3*j**2. Let c be d(4). Let b be (-14)\/(-4) - (-2)\/c. Solve -4*q + 0*m = b*m + 12, 2*q + 5*m + 3 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 1 l when three letters picked without replacement from tzkqszlt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*x + 26, 4*x + 6*i = 2*i - 24. Let w be 5 - 11 - 1*-2. Put -1, w, x in decreasing order.\nAnswer: -1, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + ((-115388)\/952)\/13 + 15\/(-6)?\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0 + 5\/24*o**4 + 0*o**3 + 0*o + o**2. Let a(c) = 304*c + 319*c - 622*c. Calculate s(a(v)).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) -31.19 (c) 1\/3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3111 and 13847.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 865487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 13*z**2 - 26*z + 3. What is the tens digit of r(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 1:06 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 191 - 764 + 194 + 189 + 191. Let y(g) = 19*g - 6. Calculate -6*h(i) - y(i).\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57821991*p**5 - p**2 + 4*p + 27983.\nAnswer: 3469319460*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/4*(-2)\/(-2). List the prime factors of (0 - -3)\/(y\/10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*k**5 + 6 - 6 + 0*k - 12*k wrt k?\nAnswer: -300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.7 and -9822910387?\nAnswer: 9822910390.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 906 + 428. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1118 divided by -1118?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -53911 divided by 2\nAnswer: -53911\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d = -15, -4*p = -d - 31. Calculate the smallest common multiple of p and (18\/15)\/(3\/20).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504110.\nAnswer: 2, 5, 50411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -700373\/5 or -140075?\nAnswer: -140075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -412, -603, -784, -955?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -1 - (537 + -519).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107405, 107410, 107415, 107420, 107425?\nAnswer: 107430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 + -71. Let t be 12\/(-24)*(1 - w). Suppose -5*u + 3*s + t = 0, 4*u - 4*s + 0*s - 16 = 0. Solve -9 = 5*j + u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/7)\/o**(-5\/6)*(o**2*o)**(2\/9))**(-23) assuming o is positive.\nAnswer: o**(-437\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40142 - 218389158.\nAnswer: -218429300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48981\/581 greater than or equal to 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1300 and 37340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/60 + 289*l**3\/6 - 119*l**2 + 2*l. Let r(w) = -10*w. Give y(r(c)).\nAnswer: 100*c**2 + 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 12, -7*v + 12*v + 19 = -713*k + 717*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 374, 1106, 2386, 4352, 7142, 10894, 15746?\nAnswer: 21836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x**2 + 1 + 7*x + 3 - 8*x**2. Let i be p(-6). Put i, -0.02, -1 in ascending order.\nAnswer: i, -1, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d**2 - 61*d - 3. Let b be q(-5). Let t be -2*b + (1 - -2). Which is smaller: 2\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44126 is divided by 236?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/42 and -5\/672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(13) + sqrt(39)\/sqrt(27) + -1 - ((sqrt(208) - (sqrt(208)*-1 + 1)) + (-3*(sqrt(208)*-2)**2 - sqrt(208)))) + 4.\nAnswer: -8*sqrt(13)\/3 + 2501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5 - 8*t**4 - 12*t**3 - 8*t**2 - 2*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 3:10 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -7. Let l be (o*(-1 - -2))\/7. Sort 5, l, -0.5 in ascending order.\nAnswer: -0.5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/11457 - -78707\/77048325. Are 1 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 178*j**4 + 187*j**4 + 0*j**2 + 93*j - 504*j**4 + 171*j**4 + 2*j**2 in the form i*j**2 + t*j + x*j**3 + v*j**4 + f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 11, j: 5}. Give prob of sequence jn.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 441805851 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 21927450.\nAnswer: 1\/21927450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -856 and 33.\nAnswer: -823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/12 + 2*c. Let f(k) be the second derivative of k**4\/2 - 24*k. Give o(f(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/9)\/((-2)\/(-39)). Let g(d) = f*d**3 - 12*d**3 - 4*d + 3*d + 2*d**2. What is the smallest common multiple of 2 and g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 3\/2*j**6 + 0*j**5 - 10 + 2*j + 0*j**4 + 2\/3*j**3 + 0*j**2. What is the third derivative of n(i) wrt i?\nAnswer: 540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-1)\/(-12)*4\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.414 - 9229.7828\nAnswer: -9226.3688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*t**2 - 109*t**2 - 3 + 95*t**2 + 3.\nAnswer: -91*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6231 divided by -93\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*l = 120, 0*l = -4*v - 4*l + 92. Solve -2*j - 5*z = -v, 38 = 4*j + 5*z + 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 11:10 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.5 (b) -18374 (c) 176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 13, v: 6}. Give prob of picking 4 o.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 198*n - 162. Let l be x(-3). Let t = 751 + l. Is 77 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2357*f - 5166 = -2111*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 1.25. Which is the second smallest value? (a) y (b) -2\/11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 - 7*f + 5. Let m be c(4). Let x = m + -8. Calculate the remainder when x is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 take away 842.93?\nAnswer: -861.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, y: 18}. What is prob of sequence yxx?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -132187 divided by 5?\nAnswer: -132187\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 12*u + 8*u**2 + 5*u - 12*u - u**3 + 7. Let b be w(9). Let r = b - -125. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 1 - 1)*(p - 4*p + 4*p) + 0*p**4 + 2*p**4 + 0*p**4 - 3*p + 3*p - 2*p**4 + (p + 2*p**4 - p)*(4 + 3 - 2).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 12:49 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*w - 3*w**3 + 758*w**2 + 4*w**3 + 296*w**2 - 4*w.\nAnswer: w**3 + 1054*w**2 - 46*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/111)\/((-6)\/18).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7827, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5818149?\nAnswer: 3, 23, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbvbbv. What is prob of sequence vv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564791992.\nAnswer: 2, 1181, 59779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -84*(-42)\/(-1008)*((-1146356)\/(-7))\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/((-78)\/(-72)) + -11. Let h(g) = g**3 + 6*g**2 + 6*g + 3. Let y be (-1 - -9)*1\/(-2). Let l be h(y). Solve -l = v - 4*i, -v - 2*i + m = -0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1277.6 + 1273.6. Which is the biggest value? (a) -5 (b) n (c) 0 (d) -3 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 66753, 133422, 200091?\n\"Answer: 66669*n + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792989289.\nAnswer: 3, 307, 287003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121221020 - 20222?\nAnswer: 2121200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/2))**(-8\/13))**(-1\/36))**15 assuming j is positive.\nAnswer: j**(-5\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*b - 13*b**3 + 13*b)*(-7 + 2 + 3).\nAnswer: 26*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133710 - -197432. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Let o(u) = 23*u + 2. Let t = -5074 - -5081. What is the remainder when o(j) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -57582*f - 57577*f + 2 + 115160*f. Let d be 4 + (0 - -2)\/2. Determine r(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -449 - -454. Solve j + 0*j - 3*a - f = 0, a = 5*j - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -r - 185, 2*a - 2*r = 3*r - 101. Let y be -179 - 5*(-39)\/65. Let q = a - y. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -29. Let h be 2*(u + -4 - -11). Solve 0*z = 5*z + h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3363*c**4 + 10*c**3 + 5*c + 282. Let x(u) = -3355*u**4 + 12*u**3 + 6*u + 283. Let y(n) = 6*o(n) - 5*x(n). Find the first derivative of y(m) wrt m.\nAnswer: -13612*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**4\/6 - 43*p - 5. Let m(o) = -o. Let g(a) = 8*a. Let t(v) = 6*g(v) + 44*m(v). Give t(y(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ididnnuidsn. Give prob of picking 1 n, 1 d, and 1 i.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 56\/18 - (-3064)\/3447\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*h = -5*h + 698, h + 2 = 0. Let s = n + -350. Solve 5 = 3*f + s*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/8798506 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/(-147))\/((-6)\/(-189)*3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 - 5300632?\nAnswer: -5300632.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.032 and 1.3?\nAnswer: 3.9416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y = -20*y - 2. Let j = 2058\/5 - 18532\/45. Which is the nearest to j? (a) -5 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219145 divided by -1?\nAnswer: -219145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1519*z + 1517*z + 4 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b. Let d(c) = c + 0*c + 3*c. Give i(d(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5908, -5909, -5910, -5911, -5912, -5913?\n\"Answer: -f - 5907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 65, 154, 243, 332, 421, 510?\n\"Answer: 89*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((-128)\/144).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1948275, -1948248, -1948221?\nAnswer: -1948194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1225901 is divided by 408633.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(300)*-2).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 28710050 to the nearest ten thousand.\nAnswer: 28710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/11200 and 131\/804160?\nAnswer: 4020800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*824\/103?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**8\/84 - 82*o**7\/105 - 71*o**6\/6 + 1321*o**5\/15 - 704*o**4\/3 + 968*o**3\/3 - 2*o**2 + 56*o. Factor m(r).\nAnswer: -4*(r - 1)**3*(r + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 170 and -0.14?\nAnswer: 170.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -90*p + 91*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78070 - 50489. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 19. Suppose -2 = 3*o - 5*j - 8, 0 = o + 4*j + y. Is 1\/2 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d*r**2 - 2*d*r + 7*d - 1036*r**3 - 93*r**2 + 2*r - 438 wrt r?\nAnswer: 6*d - 6216*r - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 27. Suppose 5*h + 14 = 6*f - 5*f, -h = 5*f + 60. Let y be c(f). What is the highest common factor of 95 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58257719996 - -21639587152. Let b = 1400314017901648\/38241 + j. Let o = b - -2\/5463. What is the common denominator of o and 83\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61902347 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -w. Suppose -w*i + 15 = 3*i. What is the first derivative of 0*j**2 + 2 - i + 2*j**2 wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = -4*c - 11, 2*c = 3*m + 2. Let b(q) = q + 1. Let s(d) = 7. Let v(g) = 4*b(g) - s(g). Let p(l) = 3*l + 5*l + l - 7. Give c*p(x) + 5*v(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 5*v - 20. Calculate the remainder when l(-6) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 1 + (-11)\/(-11). Let c be (3 - g - 5)\/(1\/3). Let k(j) = 4*j. Let p be 5*3\/(-6)*2. Let b(a) = 7*a - 1. What is c*b(q) + p*k(q)?\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*s - 69*s - 208 = -45*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15826610?\nAnswer: 2, 5, 71, 22291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z**4 + 3*z**4 - 4*z**4)*(1458 + 966 - 694) + 2*z**3 - z**4 - 2*z**3 as w*z**3 + i*z**4 + l + p*z**2 + d*z and give i.\nAnswer: 3459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 344*k. Let y(n) = 2427*n**2 - 2. What is w(y(f))?\nAnswer: 834888*f**2 - 688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 236179710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3262*t. Let n(v) = -v. What is l(n(q))?\nAnswer: -3262*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34420*y**3 + 3682915*y**2 - 2675*y = 0. Calculate y.\nAnswer: -107, 0, 5\/6884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/(sqrt(10)*-2))**2 + sqrt(7) - ((sqrt(343))**2*3 + sqrt(7)))*-3.\nAnswer: 12327\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 746 - 746 - 91*t + 5 - t - 5 + 4*t - 5*t + 3*t - 2*t + 1 - 1 + (-2*t - 2*t + 2*t)*(2 + 0 + 0) + 2*t - 3*t + 2*t as q*t + a and give q.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 - -74. Let m be 1 - (d - 4\/2). Is 2 + (m\/1)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 970 = -85*o - 1603 - 1327 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -2\/19, 2, 0.023, -0.02?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35.7 in -4, 6, 4, -1\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -4 (c) 2\/2561\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 42. Let s = -19 + u. Which is the smallest value? (a) s (b) 0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (5 + -1 - (-1 + 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + h. Let v be u(0). Let a = 234 - 224. What is the units digit of v + (-4)\/a + (-352)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-9)*1\/6*-36.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**3 - 14*u**2 + 17*u + 26. Let y(s) = 5*s**3 + 11*s**2 - 17*s - 15. What is 3*c(a) + 4*y(a)?\nAnswer: 2*a**3 + 2*a**2 - 17*a + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 + 12)*-89*3. Suppose -2*z - 27 = -t. What is the greatest common factor of z and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -1586.984195 + 1587. Round g to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -38*g + 711. Determine r(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 19*i - 95. Let m be r(-24). Solve -m = -5*d - 5*s, s + 13 = 5*d - 0*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -143. List the prime factors of 3\/(-7) - 2988\/d*4.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 358 - 356. Suppose -40 = -k + 4*b, -h*k + b + 94 = -7. What is the remainder when 311 is divided by k?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -152*a**2 + 4*a - 3. Let w be q(1). Is w at least -153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/4 in -3\/2, 0.4, 9\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.6905544327889+-0.5\nAnswer: -2.1905544327889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brb when three letters picked without replacement from {r: 3, l: 4, b: 9}.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3 - 3 + 3*y. Let j be u(-7). Let g = j - -31. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -126 - ((-43 - 52) + 76).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 36. Let g = 30 + w. Suppose 0 = 2*a - 23 + 3. Calculate the lowest common multiple of a and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3)*(-7 - (-72)\/18). Let a(i) be the second derivative of 4\/33*i**3 + 1\/110*i**5 + 0*i**d + 9*i + 0 - 2\/33*i**4. Factor a(l).\nAnswer: 2*l*(l - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 = 9939*t - 9920*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1530*f**2 - 13*f - 14. Let j be s(-1). Suppose 1520*h = j*h - 10962. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmg when three letters picked without replacement from jkjmgkkmgggk.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighteen fifths of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -10*c**2 + 266*c - 143. Determine w(26).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7711 and 231.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*r - 48*r - 6*r)*(-8 + 8 - 2*r**2).\nAnswer: 158*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 140714 = -3*m, 0 = 5*z + 1061*m - 1064*m - 703582. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 5*l + 10. Let t be y(6). Let g(o) = -t*o + 3 - 37*o**2 + 2 + 38*o**2. Let u be g(3). Sort 5, u, -5.\nAnswer: -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 1\/12*x**4 - 2*x**2 + 0*x + 0 + 0*x**3. Let z(a) = 3 + 10*a**2 - 9*a**2 - 3. Give z(c(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*z**3 + 647 + 41*z - 645 - z**2 - 8*z - 18*z as w*z**3 + i + m*z**2 + q*z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.88 + 3. Let s = t + 4.88. Let w = -0.4 - 0. Sort w, 2\/9, s in decreasing order.\nAnswer: s, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -5655, 21 in increasing order.\nAnswer: -5655, 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9479256 is divided by 256196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*m - m**2 + 28*m**3 - 18*m**3 - 55*m**2 - 2*m.\nAnswer: 10*m**3 - 56*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 12166259594?\nAnswer: 12166259599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vssvss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2654851, 2654854, 2654859, 2654866, 2654875?\n\"Answer: o**2 + 2654850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-30)\/m**(-1\/22))\/(m**(-8\/9)*m**(-1\/32)\/m) assuming m is positive.\nAnswer: m**(-88813\/3168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 4 + 0*y + 2\/5*y**5 + 0*y**2 - 2\/3*y**3 + 0*y**4. Suppose k(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 1 - 1)*(-821 - 106*h**3 + 44*h**3 + 819) to t*h + x*h**2 + f + p*h**4 + g*h**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + x**2 + x + 8. Let b be f(0). Let p(z) = z**2 - 5*z + 9. Let w be p(4). Solve 5*h + 0*h = u + b, 0 = w*u + h + 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 9:18 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5476 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576365735?\nAnswer: 5, 11, 10479377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -2, -33, -98, -209, -378, -617, -938?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -271\/6 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 146, 39, -174, -529?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 + 9 = n, 0 = -5*d - 5*n + 30. Let s(v) = v**2 - 5*v - 2. Let a be s(5). Let m be -1*a\/2*1. Solve -d*o = -x - m, -3*x = -x - 2*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 2440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -122\/137?\nAnswer: -122\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1240.9 + -1237. Is h greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 4*m + 2*m)*(1 + 2 - 2 + (-17 + 12 - 10)*(1 + 0 - 4))*(-2*m - m + 2*m).\nAnswer: -46*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183414858 rounded to the nearest 1000000?\nAnswer: 1183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846722?\nAnswer: 2, 23, 79, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32, 66, 102, 140?\n\"Answer: g**2 + 31*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.962 - 19. Let a = 290 + -290.818. Let n = a - h. Round n to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.5189 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 23, 46, 77, 116, 163?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1974, 2096, 2300, 2580, 2930, 3344, 3816, 4340?\n\"Answer: -y**3 + 47*y**2 - 12*y + 1940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.087 times -0.05\nAnswer: -0.10435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5511 and 4509?\nAnswer: 49599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74699 + 5325 = 4*y. Suppose 2*v - 29998 = -3*d + v, y = 2*d - 3*v. Round d to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165 - 65 - 122) + -2*(-892)\/81.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 59*v**2 + 321*v - 40. What is j(64)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 19. Suppose 3*t = -z*v - 16, -v = -2*t + 4*v - 3. Sort -2, -3, 0, t in increasing order.\nAnswer: t, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/36 + 11\/9. Suppose c = 5*s - 9. Let f be (90\/(-27))\/(10\/(-36)). Calculate the highest common divisor of f and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 420505*s**2 + 30*s = 0.\nAnswer: -6\/84101, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2163648 + 0.216. Round w to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58658322719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 82, 63, 26, -35, -126?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1 = -3*u - 2*u, 0 = -3*p - 4*u + 1. Suppose -4*z - 1 = y, 2*z - 10 = -y - p*y. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 26*m**2 - 21*m - 22. Does 94 divide i(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105*g**2 + 99?\nAnswer: 210*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -4, 3, 53, -11 in descending order.\nAnswer: 53, 3, 1, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 200809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*o = -104*o - 69 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12824125.07200053 + 12824125. Let h = -0.072 - y. Round h to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357245.\nAnswer: 5, 7, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 337 = -5*h, 5*q + 2*h - 198 = 3*q. Let u = -71 + q. What is the least common multiple of 15 and u?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175001 is divided by 1048.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/21? (a) 3 (b) -1\/5 (c) 1\/8 (d) 33 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(76) + -1 - sqrt(152)\/sqrt(2)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 9879*w**2 + 9025*w**2 + 854*w**2.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -102111120001201220?\nAnswer: 102111120001201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 488250899 to the nearest integer?\nAnswer: 22096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**2 - 1. Let y be c(-1). Let u be -12 - (-9)\/(2 - y). Let v be 10\/u*3\/4. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/(-21))\/(1 - 66\/63). Let g = -35 + v. Let f(o) = 4*o + 7. Let p(w) = -w - 1. Determine g*f(i) + 5*p(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Which is the closest to n? (a) -1\/2 (b) 0.4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010110110001110100 (base 2) to base 3.\nAnswer: 1122200202200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-384)\/(-320)*(-8)\/36.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**2 - 80*w - 85 = 0. Calculate w.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17638*b**2 + 3795?\nAnswer: -35276*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.658021 + 524.409779. Let b = v - 528. What is b rounded to 3 dps?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*j**3 + 13426 - 6714 - 6712 + 81*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -17*f - 15. Let g be o(-1). List the prime factors of -1*8\/g*8475\/(-60).\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-149434237\nAnswer: -14943423.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 17*i + 2098. Let b be y(54). Is b equal to 4096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -1. Let b = 22 + -16. Suppose -5*s + b = 16. Is t > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x - 10*x - 6*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -146785532 divided by 71186\nAnswer: -2062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 times 10.8?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46295 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from mmwwwmmwwmmmmmmm?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 5. Suppose 5*j = 3*n + 11, 5*j = -0*n + 2*n + r. Solve -s - j*z - 8 = 0, 2*s = -0*s - 4*z - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*p - 331 = -p, k = -5*p + 182. List the prime factors of k.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 11. Suppose -3*u = -k + 3*k - 2, -4*u + n = 4*k. Solve -3 + k = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7527 - -7696. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1399, 2974, 4549, 6124?\nAnswer: 7699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 14 = 5*k - u, -6 = 135*u - 137*u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-3)\/(3*-3)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11210 (base 3) to base 14\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*(-159)\/212*8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 < 302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -459*m - 8220. Calculate r(-17).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 8 = -p. Let v = -29.750852 + -0.249148. Which is the fourth smallest value? (a) v (b) -4 (c) 4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23599952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2 - 9 + 7*k + 0*k - k**2. Let r be y(2). Let w be -4*(r + (-74)\/20)*5. Calculate the greatest common divisor of w and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/7 (b) -57033 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 806, 2083, 3942, 6383, 9406?\nAnswer: 13011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29944 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1555*v**3 - 20*v**2 = 0.\nAnswer: -4\/311, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.9 + -16847.\nAnswer: -16843.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/5)*v\/(v\/(v*v\/(v*(v*v**5*v)\/v))*v)*((v**(-2\/5)*v)\/v)\/(v\/((v*v**(2\/19)*v)\/v)) assuming v is positive.\nAnswer: v**(-579\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35002450 + 23?\nAnswer: 35002513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0358371 * -4\nAnswer: -0.1433484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 656367 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 91822, 183611, 275394, 367171, 458942, 550707?\n\"Answer: -3*n**2 + 91798*n + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c - 2. Let h(w) = -w. Let x be (9\/2)\/(6\/(-8)). Let l(k) = x*h(k) - i(k). Is l(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.901831 kilometers to meters.\nAnswer: 1901.831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + 89.877.\nAnswer: 137.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/410 and -33\/13366?\nAnswer: 66830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -2*s**7\/735 + 3*s**6\/14 + 47*s**5\/35 + 143*s**4\/42 + 32*s**3\/7 + 17*s**2 - 82*s. Factor z(m).\nAnswer: -4*(m - 48)*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1835c (base 13) to base 14\nAnswer: 13053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, -124\/11, -5, 0.3 in ascending order.\nAnswer: -124\/11, -5, 1\/12, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 8. Let v be y(-6). Let b be ((-20)\/(-8) - 2)*6 - -4. Suppose -b + v = -j. Solve -2*k + 2*h = -8, -3 = j*k + 3*h + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.0719006 months?\nAnswer: 0.008932505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-7 - (12 - 29)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 2142*a**3 + 288360*a**2.\nAnswer: 3*a**2*(a - 534)*(a - 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eytgvtttevttdtgvt. Give prob of picking 1 g and 1 y.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(128) + (-4 + sqrt(128) + sqrt(128) - sqrt(128)) + sqrt(128) - sqrt(128)))**2.\nAnswer: -32*sqrt(2) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20734288 and 6851.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3195?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(-38)*h\/(h\/h**(1\/7)*h)*h**2\/h)\/((h*(h*h\/(h\/h**3)*h*h*h)\/h)\/((h\/(h**7\/h))\/h))**(-7) assuming h is positive.\nAnswer: h**(638\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*5796\/7245.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 a factor of 65234179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71247456 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71224*i - 71045*i + 5306 + 2212 = 0 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -123154*-2.1\nAnswer: 258623.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64\/3 in 91, -1\/3, 58\/65?\nAnswer: 58\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Let w = 2 - r. Is (-34)\/(-2 + 1) + w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 32. Calculate the remainder when 70 is divided by n(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(243)*-1 + -1)*-4 + (-2 + (sqrt(243) + (sqrt(243)*-2 - sqrt(243)) - sqrt(243)))*-3)**2*-3.\nAnswer: -494004 - 28080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 6 - 15 - 5103*t - 148*t in the form p + x*t and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 18 - 8 = -z, -2*k + 5*z = k - 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)*b*b*b**(2\/7))\/(b**6*((b**(2\/33)*b)\/b)\/b) assuming b is positive.\nAnswer: b**(-2489\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.913176 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 874.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 4*p + 0*p**3 + p**3 + 0*p**3 to the form y + v*p + t*p**3 + h*p**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, b: 4, p: 5, e: 1, s: 1, a: 1}. What is prob of picking 2 s and 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2053*h - 5908*h + 780178 = 0 for h.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*n**2 + 1942*n - 204.\nAnswer: -2*(n - 51)*(19*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*z + 2 - 176*z + 92*z.\nAnswer: 8*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 + -94 + (-2 - (-1 - -34))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 1)\/(18\/6). Solve -4*q + 6 - 22 = o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 56. Let w = t - -33. Put w, 0, 8 in descending order.\nAnswer: 8, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 413651, 413652, 413647, 413630, 413595, 413536, 413447, 413322?\n\"Answer: -w**3 + 3*w**2 - w + 413650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -409, -761, -1157, -1621, -2177, -2849?\n\"Answer: -4*t**3 + 2*t**2 - 330*t - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 16.05 (c) 0.02 (d) -2\/5 (e) -0.2 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*m**2 + 4*m**3 + 24*m**3 - 272*m**2.\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2457\/2 - 1276. Suppose -12*a = -7*a + 150. Find the common denominator of m and (a\/75)\/(3\/18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 3*h + 4, -3*x + 206*h - 94*h - 109*h - 9 + 18 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m - m**2 + 2*m + m - 1. Let j be r(-2). Let l be ((-4)\/(-15))\/(3 - (-84)\/(-20)). Is j at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 164?\nAnswer: 13\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 0.48. Let z = m - -0.72. Let v = 0.6999909 - z. Round v to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 472132683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94784 = -3*c - 2*s + 94755, 2*c + 32 = 5*s for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -248 (c) 804\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, q: 3}. Give prob of sequence bqq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13379282 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 3*y**4\/4 + 7*y**3\/3 - 5*y**2\/2 - 21. Let z(b) = b**3 + 2*b**2 - 2*b. What is 2*u(v) - 7*z(v)?\nAnswer: -v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 831\/33 - (-6)\/(-33). Suppose -d*s - 3601 = -16876. What are the prime factors of s?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2\/9 + 3272*h\/9 + 240992\/9 = 0. What is h?\nAnswer: -68, 886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-5)*(-50)\/(-3). Calculate the highest common divisor of h and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 9*t - 8. Let o be i(-10). Suppose 3*n - 45 = -o*n. Solve 0 = 3*s - n - 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4*k + 1 = 0, 0 = 3*c - 21*k + 18*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = -138*i + 151*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178582011?\nAnswer: 3, 523, 113819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2 + 1488*d - 262476 = 0. What is d?\nAnswer: -634, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**5 - 36695*a**2 + 36695*a**2 + a - 60 + a**5 + 2*a**5 - 4*a**5 + (a - a + 2*a**4)*(2*a + 0 + 0) + (a**4 - a**4 - 2*a**4)*(a + a + 0*a).\nAnswer: 4*a**5 + a - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-250))\/((-8890)\/(-9525)). Is -1.5 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 1 - (-1 - -1). Sort -1, c, 1.\nAnswer: -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 265 = -7*c + 2*c, 0 = y + 5*c - 33. Let a = -56 + y. Let r = -2.3 + -0.7. What is the third smallest value in a, -2\/13, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1634 = -3*x + 1613 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-3)*15\/6. Suppose -2 - 18 = -f*o + 4*z, -3*o - 3*z + 12 = 0. Suppose -o*x + 3*g + 24 = -x, 4*g = -4*x + 24. Solve 5*d - 2 = x*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 29 = -6*j + 2*j, -11 = 2*o - j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10813786 + 0.0675.\nAnswer: 10813786.0675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 8*q - 5*t - 9191, 5*t = -5*q + 46105. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x - 60. Let i(l) = 10*l - 65. Let y(p) = 7*c(p) - 6*i(p). Give y(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1 + 2*a**2 - 2*a + 0*a**2 - a**2. Suppose q + 4 - 29 = -5*m, 5*q = -25. Suppose -3 + m = x. Give p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 + 7*p + 2. Let s be l(-10). Let t be (-2)\/4*(-2 - s). Let c = t + -112. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -9. Let t = 1079 - 1074. Calculate the least common multiple of f and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuzuooup. What is prob of picking 1 p, 1 u, 1 o, and 1 z?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2250 to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(275) + sqrt(275) + -1)*1)**2.\nAnswer: -20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00138548 to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3225 = 2099*o - 2024*o for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 3*u = 3*z, -4*z - 8 = -4*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115360 is divided by 151.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -375*b - 1550. Let a be p(-6). Calculate the highest common factor of 532 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -74114109?\nAnswer: 7411410.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10124 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 164*j**2 + 325*j - 184. Give d(162).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 107*b**3 + b**2 + 5*b - 15. Let p(x) = -54*x**3 - x**2 - 2*x + 6. Determine 4*o(a) + 10*p(a).\nAnswer: -112*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.119 + -2.1. Let z = 0.899 - t. Let c = 0.2 - z. Round c to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -23*x**4\/4 + 5*x**3\/3 + x**2\/2 + 5*x + 2. Let r be w(-5). Suppose 0*p = -4*q + 2*p + r, -4*q + 3010 = 3*p. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-8) - (-1)\/(-4). Let i be (z - 1)*3\/3. Let j = 22 - 22. Put -4, j, i in decreasing order.\nAnswer: j, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.01 + -0.01. Let m(y) = -2*y**3 - 5*y**2 + 9*y + 3. Let p be m(-6). Let v = 1002\/5 - p. Put 3, x, v in ascending order.\nAnswer: v, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3181.\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w + 15. What is the tens digit of m(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/21 + (-31557)\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -873267*r + 873391*r + 11284 for r.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 11*r - 8. What are the prime factors of u(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 3*h + h)*(20*h**2 + 74*h**2 + 7*h**2).\nAnswer: -202*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v**4 - 14*v**4 + 2*v**4)*(-4 + 5 - 2)*(-2 - 5 - 2) as d*v**2 + k*v**4 + h*v**3 + f + w*v and give k.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*s + 15. Suppose s*a - 3*k - 2 = 43, -18 = -2*a + 4*k. Let x(u) = -1 + a + 4 + 1 + 2*u. What is x(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/455 in -15, 0.07, -3, -12?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 462053603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 2*g + 80216 = 13*h, 2*h + 2*g + 160438 = 0. Round h to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0267 + -0.0733. Let p be 3\/2*(-8)\/30. What is the fourth smallest value in -1\/7, d, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -206 - -103. Let s = p + 102.9882. Round s to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 12) to base 16.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -246780 to the nearest one thousand.\nAnswer: -247000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 + 239 = 6*u. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from llkllkjjjjjlkkll.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 + -836?\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g + 1. Let w(d) = -2*d + 1. Let j(z) = -z + 2. Suppose 6*l = 2*l + 40. Let x = l + -15. Let k be j(x). What is k*w(h) - 4*i(h)?\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 + -d?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8107 + -8107.040918. Let a = 0.041 + g. What is a rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -4*o + 0 + 0*o**4 - 1\/2*o**2 + 0*o**5 + 0*o**3 + 1\/10*o**6. Differentiate z(r) wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 216 + -216. Solve -6 = -4*g + 2*h, d = 5*g + 4*h - 15 - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -269 + (-1 - (5 + -3)). What is the remainder when ((-3)\/4)\/(4\/d) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 3*o + 23 - 1.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6173266 divided by -124.\nAnswer: 3086633\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 67128747.\nAnswer: -67128747.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1054 - -1044. Round k to one dp.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4))**(-50) assuming w is positive.\nAnswer: w**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 5400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3594119250 a multiple of 10040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37456776?\nAnswer: 2, 3, 7, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**4\/3 + 7*z**3\/6 + 9*z**2\/2 + 41*z. Let m be q(4). Does 30 divide (-75)\/m + -3 + 3154\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91 + 0.01?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 351 and 273?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0 + 0)*(0*g + 2*g + 0*g) + 25*g**2 - g**2 - 3*g**2.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x - x**2 - 3 - x**2 + 4*x**2 + 4*x. Let h be j(-3). Calculate the greatest common factor of 30 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*s**3 - 953*s + 39969.\nAnswer: -21*s**2 - 953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 37 + 1 - (1805 + -1746)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a meter in millimeters?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -3 (b) 5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - 2*sqrt(539)) + -1 - (sqrt(539) + sqrt(539)*2 + 3))**2*-2*1.\nAnswer: -17280 - 448*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*p)*(-4*p + p + p)*(-2 - 7 - 4).\nAnswer: 52*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = 2, 5*d + s = 479. Suppose 3*a = 2*m - d, 3 = a + 8. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -903, -3249, -7159, -12633, -19671?\n\"Answer: -782*i**2 - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 138*c**4 - 23*c**3 - 3*c**2 - 220*c + 201294915?\nAnswer: 552*c**3 - 69*c**2 - 6*c - 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 4*b - 1068 = 0. Let x = b + -100. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 3*v + 5*m, 6*v = 2*v - 2*m + 118. Let x(o) = o**3 + 7*o**2 + 2*o - v + 37 - 10*o. Let b be x(-8). What is the greatest common divisor of 35 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101873521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34 and 48.8?\nAnswer: -1659.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + 3. Suppose -80 = 33*x - 41*x. Calculate the remainder when n is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-3\/2)))\/(v\/(((v\/v**(-8))\/v)\/v))*v\/(v**(-9)*v)*v**(-5)*(v*v**9*v*(v**(-6)\/v*v*v*v*v)\/v*v)**(-26) assuming v is positive.\nAnswer: v**(-399\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195703 is divided by 65225?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -41*n**3\/3 - 4*n**2 - 5. What is the second derivative of g(v) wrt v?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*u**4 - 381*u**3 - 369*u**2 + 381*u - 6 = 0.\nAnswer: -1, 2\/125, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 4*h + 2, 13 = 3*h + 3*x + 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 5. Determine v(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 255830 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1745946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 237 = -423. What is the hundreds digit of (n - 2)*((0 - -5) + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**6\/120 - l**5\/10 - l**4\/4 - 3*l**3\/2 + 2*l**2. Let n be h(7). Let c = -6.3 + 6. Put -4, n, c in increasing order.\nAnswer: -4, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 28 = -4*q. Let g be ((-2)\/4)\/(103\/(-3502)). Suppose -22 = g*o - 39. Calculate the greatest common divisor of o and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2194\/9 + -244. Let t be (-7)\/5 - (-1 - 0). What is the second smallest value in t, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40592727 a multiple of 581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -14. Suppose a = -2*w - 3*z + 181, 8*w - 357 = 4*w - z. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 7*d**2 - 5*d - 5. Let l be y(5). Solve -3*j - j = l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581621950?\nAnswer: 2, 5, 7, 13, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -893 and -302311610060.\nAnswer: -302311610953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142760637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37934240?\nAnswer: 2, 5, 237089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2112 divide 20304768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - o**2 + 3*o**2)*(4 - 2 - 1) + 3*o**2 - 2*o**2 + 6*o**2 + (-3*o - o + 3*o)*(8 - 8 + 2*o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**35*((u\/(u**(-1\/4)*u))\/u)**(12\/5))**(6\/37) assuming u is positive.\nAnswer: u**(-54\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-6))\/(3\/(-138)). What is the greatest common factor of d and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -94*d**3\/7 + 33733982*d**2 - 10048420*d\/7 = 0?\nAnswer: 0, 2\/47, 2512105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -17.6. Which is the nearest to -2\/5? (a) q (b) -2\/15 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.4 + -2.4000006. What is h rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9896? (a) 1 (b) 13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b*o**2 - 2*b*o - 279664*b*z - o**2*z + 2*o**2 + 1583549*o wrt b.\nAnswer: 3*o**2 - 2*o - 279664*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**6*u - 20*o**6 - o**2*u - 11*o**2 - 3*u wrt o?\nAnswer: -240*o**3*u - 2400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.413 - 385?\nAnswer: -385.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 14 = 29. Solve -3*y + h = 6, -5*h - 7 - m = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45\/2 + -219\/10. Which is the second smallest value? (a) p (b) 6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -284*r + 651 + 5610 - 1433 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 12*u + 33. Let f be c(14). Suppose 5*d + 4 + 8 = 2*n, -f*n = -3*d + 8. Is (156\/(-9))\/n*(-1 + 10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1944215 is divided by 1943976.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -29?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4743, -4565, -4265, -3843?\nAnswer: -3299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -25, -2, 2 in decreasing order.\nAnswer: 5, 2, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707059?\nAnswer: 353, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2895)\/(-9650))\/(3 - 765\/250)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 33*d**2. Let l(f) be the third derivative of -f**5\/30 - 136*f**2 - f. Determine l(w(j)).\nAnswer: -2178*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -11\/2. Is y not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20335981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1584*l**3 + 4623*l**3 - 1569*l**3 - 1556*l**3.\nAnswer: -86*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkbwgkbgkggkgwbwngg. What is prob of picking 3 b?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60853 divided by 254.\nAnswer: -60853\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28\/25 in -0.4, -2, -29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + v - 1. Let b(f) = -4*f**3 - 36*f - 4. Give b(w) - 5*q(w).\nAnswer: w**3 - 41*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/156)\/(6\/8)*(-1521)\/1690?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.635206 rounded to one dp?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 311*d + 34058. What is o(-110)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-107 - -26) + 0 + 12?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 0.01, -349\/13, -1\/2, -9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 0.33, 2, -6\/11, 0?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/28 - (-4)\/(-63). Let p = 19\/50 - 967\/2150. Let x = -77\/129 + p. Which is the closest to 0? (a) -0.2 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 322\/9. Which is the third smallest value? (a) r (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-9) - (-1456)\/(-72). Let r be (-321)\/(-15) - (-8)\/k. Solve -3*j - 3 = 3*z, -r = 5*z + 5*j - 4*j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 25. Let v be 1*3\/(1\/1). Suppose 4*z = 3*t - 39, -42 = -v*t + 3*z + 2*z. Calculate the remainder when d is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 42, 55.\nAnswer: 42, 45, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {s: 2, e: 1, c: 2, v: 1, x: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -157. Suppose 10 = -c + a. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 166, 167, 168, 169, 170?\n\"Answer: w + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - 1. Let b = z + 6. What is the first derivative of -2*f**3 + b*f**3 + 20 - 4 wrt f?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2 - 366*n - 365 = 0 for n.\nAnswer: -365, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 24 = 4*t. Suppose 0*u - 2*u = 5*u. Suppose -5*c - 20 = -4*k - u*k, 0 = 2*c. Solve 15 = 5*m - k*s - 5, -m = 3*s - t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 13*v + 4. Let g be u(0). Factor 6\/5*l**2 - 4\/5*l - 8\/5 + 1\/5*l**3 - 1\/5*l**g.\nAnswer: -(l - 2)**2*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*r - 27, 0 = -w + 4*r - 10 - 3. Suppose -3*z = -w*q + 75006, -5*z - 3*q = -6*q + 125006. What is z rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-4 - 2) + 10) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -108*h**2 + 46765*h - 464. Calculate o(433).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (-1)\/(1\/2). Suppose 3*b = -s - 37, -8*s - 141 = -j*s + 4*b. Let h = 48 + s. Solve -3*x + 27 = 5*p, -2*x = p + 3*x - h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g + 65 = -4*h + 34*g, 2*g + 53 = -3*h for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21639920 less than -0.024143?\nAnswer: -21639920.024143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:51 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 54*g**2 + 1234*g + 49267. Give q(-61).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51.77 - -51.67. Let m be 12\/(-7)*-2*6\/(-16). Put -1\/3, 0.4, m, w in ascending order.\nAnswer: m, -1\/3, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(405)*-3 + ((sqrt(10) - sqrt(160))\/sqrt(2))**2 + sqrt(5))*1.\nAnswer: -25*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, 4\/5, 0 in descending order.\nAnswer: 4, 4\/5, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*q + 8 = -34, -16 = 4*q. Let l(j) = -j**2 + 2*j**2 - j - 6 - r*j. Let v be l(8). Which is smaller: 4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 435944\/3 + -145315. Let q = 3\/4 + -7\/12. Which is the smallest value? (a) 0.145 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -2*r**5 + 2*r**3\/3 + 5. What is the third derivative of y(f) wrt f?\nAnswer: -240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4154052247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(8\/3)*((-1456)\/39)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Suppose j + 5*u = -15, -5*j = l*u - 5*u - 65. Let x = -84 - -174. What is the greatest common factor of j and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-5))\/j)\/j*j**(1\/3))\/((j*j**(-5)*j)\/(j*j**(2\/15))))**(-9) assuming j is positive.\nAnswer: j**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1414 - -2?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 24*o = 86 + 169 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -998 + 1?\nAnswer: -997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 4631?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.226642 to three dps.\nAnswer: 1.227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2478\/6445 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 530 a factor of 331452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*d**4 - d**3 - 222969*d**2 + 13200645*d.\nAnswer: -144*d**2 - 6*d - 445938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 2 - 6*f - 10)*(f**2 - 4*f**2 + 2*f**2) to h*f**2 + l + t*f + d*f**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*j**2*s**4 + j**2*s**2 - 3*j**2*s + 4*j*s - 2575*s**4 + 112*s wrt s.\nAnswer: -216*j**2*s - 61800*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhsmsscmsmsshccsshsm?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159 + -1114\/7. Suppose -2*n + 3 = z, n - 19 = -4*z - 0*z. What is the closest to 1 in u, 4\/5, z?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 14*q - 22. Let f be w(2). Suppose 3*j - i - 337 = -0*i, f*i + 448 = 4*j. What are the prime factors of j?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -2270*l + 2278*l. Sort l, 2, -11 in descending order.\nAnswer: 2, l, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-776\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 33 = -0*h + 5*b, h = -5*b + 21. Let s = h + 6. Solve -3*j = s*j - 5*l - 15, l + 18 = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 2*y - 20 = 3*i, -4*i + y = -20. Suppose -1 = i*s + 4. Is (1\/2)\/(s\/(-446)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*a - 332*a + 393*a**2.\nAnswer: 393*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/20 and -52\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3918.2 and -3.\nAnswer: -3921.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:25 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 1. Let q be i(0). Suppose 1 = 7*l - 13. Suppose l*r - q - 9 = 0. Solve r*p - 5*a = -7 - 18, 10 = p + 2*a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 139 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*u + 34. Suppose 3*d + 0*w = w - 17, -5*d - u = -w. Let k(h) = -11*h + 8. Let a(c) = -9*c + 7. Let b(q) = 6*a(q) - 5*k(q). Calculate b(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3169 is divided by 684.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**3\/3 - d**2\/2 + 8*d - 1. Does 8 divide f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5*k + (0 - k + 0)*(0 + 0 - 1))*(-106*k**2 - 67 + 67).\nAnswer: -636*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z + 3*z**3 + (3 - 3 + 2)*(1 - z - 1)*(-725 + 725 + 10*z)*(-2 + 2*z + 2).\nAnswer: -37*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbhhbbhhbhhhhhhh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2220 + 576. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1372.5 - 1369.5. Which is the closest to 91? (a) -1 (b) 2\/15 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**3 - 8*o**2 - 9*o + 1. Calculate the remainder when 44229 is divided by l(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 30. Let d(g) = 2*g**2 - 2*g - 2. Let z be d(2). Suppose 3*i = 5*o + 5 + 9, 0 = 4*i + z*o - 10. Solve 6*a - a = -3*m - 16, -s = -i*m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*a**4 - 11*a**3 + 12 - 43 + 11*a**3 wrt a?\nAnswer: 104*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232107 is divided by 1304.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 38.06. Let h = q - -1.1. Round h to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - w)*(-13*w - 10*w - 15*w)*(3*w**2 + 0*w**2 + 0*w**2).\nAnswer: 114*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-4 - (17 + -8)) + 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 5:35 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-4 + (-7 - -18) + 3) - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -25. Suppose -48 = -4*h - k*h. Find the second derivative of 4*l + h*l - 21*l**2 + 14*l**2 wrt l.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o - o**3 - 6 + 4*o**2 + 5*o**2 + 0*o**3. Let y be f(8). Suppose -5*j = -3*j - y. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 3:15 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13961 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -5*o + 26, 24*o - 30*o + 4*q = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12403023 + -400?\nAnswer: 12402123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.946 - 0.054. Which is the closest to 1\/9? (a) 0 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 17*q = 6. Suppose 12 = q*h + 2*n, h = -n - n + 8. Suppose 3*u - 171 = -4*m, -m - 4*u + 39 = -h*u. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178*f + 1177*f = 4*d - 46, -66 = -5*d + 3*f for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1140748.9243 - 19996408204.0757. Let p = -19997548618.99999686 - u. Let z = p + -334. What is z rounded to seven dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2864438 and 366?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2567\/57 <= -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -130320132 (base 4) to base 8\nAnswer: -347036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50715*t**4 + 83*t**3 - 38906763 wrt t?\nAnswer: -202860*t**3 + 249*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 638?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2557*o**2 - 2009*o wrt o?\nAnswer: 5114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(87*h**2 + 86*h**2 - 168*h**2)*(6 - 6 + 2*h).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (19 - 40 - -27) - -8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1424 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**3 - 2*k + 8*k - 6*k.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -156 + 155.98352. Round g to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a637 (base 15) in base 14?\nAnswer: -2338d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 - 3)*(585*u - 95*u - 87*u) + (-4 + 4 - 2*u)*(4 - 1 - 1))*(-3 + u + 3).\nAnswer: -407*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37666020307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**3\/k)**(1\/15)*(k**(1\/3))**(9\/10))**(37\/2))**(-16\/5) assuming k is positive.\nAnswer: k**(-148\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Suppose 106 = -18*q + 16. What is the nearest to i in 0.5, -4, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (38607889\/177)\/((-3)\/(-9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (368 + 1160 - 443)*(3*x + 3*x - 3*x).\nAnswer: 3255*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*2\/56 - 54\/(-14). Find the second derivative of -7*y**s + y**4 + 6*y - 6*y**4 wrt y.\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2) + 4 + 2.\nAnswer: sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/(-12))\/(40\/3000). What is the greatest common factor of z and 17300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -169 - -157 - 3\/(189\/(-753)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97 + 97.03. Which is the nearest to 1\/3? (a) w (b) -1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 42 = 13*z. Solve -3*b - z = -i, -2*i + 6 = -7*b + 4*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/5)*b)\/(b\/(b\/b**8)))\/(b**(-2))**(1\/45))**(-2\/3) assuming b is positive.\nAnswer: b**(644\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.35 + -0.35. Which is the nearest to -1\/5? (a) -1\/3 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7694 + 63\/9 - (-1 - 6) a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/2, 178\/17, -11\/2.\nAnswer: -11\/2, -3\/2, 3, 178\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 19*v + 3. Let a(j) = 2*j**3 + j**2 - 36*j - 7. Let h(t) = 6*a(t) + 11*o(t). Calculate h(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -238? (a) 5 (b) -0.6 (c) 1 (d) -37 (e) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 59\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -14. Let w = m - -2. Solve 10 = -t + q, -t - 2*t + q - 20 = w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = 3*a. Suppose -3*d + 7 - 1 = 0. Let g be -1 - (2 - d - 0). Sort g, -4, a in increasing order.\nAnswer: -4, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 52, 82, 112, 142, 172?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i*(i\/i**0)\/i*i*i*i*i)*i)**(4\/29)*i**(3\/10)*i*i*i\/i**(3\/11) assuming i is positive.\nAnswer: i**(8337\/3190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5954963 less than -2?\nAnswer: -5954965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1123 + 4?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -69087 less than or equal to -69086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((321 - 328) + (-10 - 2) + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 270 - 270. Let v = 8 - 12. Which is the closest to t? (a) -1 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27 + (0 - (-2 + 3)). Let g(o) = 22*o - 32. Let j be g(5). What is the highest common factor of j and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.72 rounded to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 3. Let i(h) = -h**2 - 6470245*h + 6470245*h. Determine n(i(z)).\nAnswer: -z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.83 - 10.03. Let u = 32 - 32.1. Which is the closest to -3? (a) u (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - b + 3*b + (0 + 0 + 2)*(0*b + b + b) + 1 - 1 - 2*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 + 0 + 0 - 12*x to the form f + q*x and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4 + 12684*o**3 - 13419648*o**2 + 4750479360*o - 14131003392 = 0.\nAnswer: 3, 1056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/3460 and 45\/505852.\nAnswer: 2529260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21018 is divided by 260.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 + 71062*k\/7 + 43945024\/7.\nAnswer: -2*(k - 36139)*(k + 608)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.7197 to 1 decimal place.\nAnswer: -44.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bb34 + 901?\nAnswer: -b233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 469 + -472. What is the closest to 0.2 in x, 28, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d. List the prime factors of x(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4\/5 - 168*y**3 - 27044*y**2\/5 - 250416*y\/5 - 224208\/5 = 0. Calculate y.\nAnswer: -173, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4 + 4)*(8 - 15*j - 8)*(-3 + 2 + 0)*(-1 - 2 + 5).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lblbblobllllbblbb. What is prob of sequence ol?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) -7.35 (b) 2\/9 (c) 0.5 (d) 13 (e) 7\/3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 29*b + 67045 = 0. Let p = b + -1735. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.023 - 897.023. Let p = j + 898. Which is the third biggest value? (a) -1\/6 (b) -2.6 (c) -2\/5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o = -3*s + 23, -3*s + 4713*o + 4 = 4711*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + 4\/6. Let x be (-5)\/(o - 4\/2). Calculate the highest common factor of 45 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 3*l - 3, 2188*l + 6 = -3*s + 2182*l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*b - 9 = 0, 2*b + 19 - 13 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m - 9. Suppose -11 = -m*z + x, -4*x = x + 25. Solve -1 = z*c - 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 58670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 3:31 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1930*h**3 + 69*h**2 + 5*h**2 - 3 - 2*h + 23*h**2 - 3858*h**3 + 2*h**4 + 1929*h**3 in the form l*h**2 + d*h + k*h**4 + n + u*h**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 0)*-6 - (5 + 1 + sqrt(112))**2)*5.\nAnswer: -360*sqrt(7) - 740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -727 - -781.5. Round t to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27449.\nAnswer: 27449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 11647379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -187 (base 11) to base 2.\nAnswer: -11011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 7. Let r be z(-10). Suppose -i + 3*n - 11 = 0, 3*i + r*n = 4*n + 7. Suppose -i*d = -4*g - 232, -5*g - 15 = 10. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 2*i - 5. Suppose 0 = -2*g - 3*g + 130. Let k = g + -17. Let n(h) = -2*h**2 - 5*h + 11. What is k*j(x) + 4*n(x)?\nAnswer: x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395116 = 2679*o - 199549 for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -9*n**5\/4 + n**4\/3 + 2*n**3\/3 + 2*n**2 - 2*n + 2248. Let k(g) = -854*g**3 + 77*g**2 + 77*g + 77. What is 4*k(t) - 77*p(t)?\nAnswer: 49*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/4660 and 61\/4660.\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**3\/3 - 536684*s**2\/3 + 18001052188*s\/3 + 18002662276 = 0.\nAnswer: -3, 67087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2, 5*g - 2228 = -b - 489. What are the prime factors of g?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1051 + 236 = -369*g - 2772 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/14 + 1\/7. Let n be (-4)\/(-8)*7\/14*0. Sort k, -5, n in increasing order.\nAnswer: -5, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39.242969 + -39.24. Round b to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.379161ng in milligrams?\nAnswer: 0.000009379161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32285?\nAnswer: 5, 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**2 - 122*u + 7844. Calculate c(-48).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20950 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16 + 297)\/(4\/(-8)). Round f to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/302477 - 25105559\/4839632. Find the common denominator of 1 + (285\/44)\/(-3) and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38084?\nAnswer: 2, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(95)\/(sqrt(80) - (sqrt(80) - (sqrt(80) - -2*sqrt(80)))).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a4 (base 12) in base 3?\nAnswer: -100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -1, 671, 2, 6, 1.\nAnswer: -5, -1, 1, 2, 3, 6, 671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8318.906 millennia?\nAnswer: 83189.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9738 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3567.\nAnswer: 3, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 1. Suppose c*q + 84 = 11*q. Let p = q - -11. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (26 - -18) - (3 - 1) - 14\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 292\/32 + (-3)\/(3 - -21)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 16 - 0. Let g be (3 - (-8)\/4) + c. Let i(t) = -2*t**3 + 24*t**2 + 28*t - 24. Let y be i(13). What is the greatest common divisor of g and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4 - 64*b**3 + 32*b**2 + 2560*b - 4800 = 0. What is b?\nAnswer: -6, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -5\/2, -2\/5, -33, 3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 0.3. Let s = 2151 - 2148. What is the closest to a in 13, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5917.92 to the nearest one hundred.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 26*y. Let j(f) be the third derivative of -13*f**4\/2 - 856*f**2. Give -2*j(z) - 13*r(z).\nAnswer: -26*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-10))\/((-2)\/6). Suppose -m*s - s + 120 = 0. Let w be -1 - (1 + -4) - -3. What is the greatest common divisor of s and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95\/6*i**2 + 10\/3*i**3 + 10*i + 0 = 0. What is i?\nAnswer: -4, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200287?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-37 + (-29616)\/(-792))*33\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 438, 478, 528, 594, 682, 798?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*f - 374*f - 19893 = 21*f + 75*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -661.58299 and -19.\nAnswer: -680.58299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3*l + 7 = 0, 213*l - 217*l + 14 = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-10)*(-268)\/134\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111260760 to the nearest integer?\nAnswer: 10548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, -3, -66, -153, -264, -399?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + 4\/30. Let j be 30\/(-435) + 5212\/(-23664). Let u = j - 3\/68. Which is the third biggest value? (a) -1\/6 (b) g (c) u (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 388, -3\/4, 0.076, -4?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84960 by -16.\nAnswer: 5310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (264\/(-10120))\/((-6)\/20).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 19*x**2 - x - 14. Let m(o) = o**2 - 24*o + 25. Let z be m(22). Let g be v(z). Solve -2*q - g = 5*u, 3*q + 6 = -5*u - 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0020329 minutes to nanoseconds.\nAnswer: 121974000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 4, 3 in decreasing order.\nAnswer: 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**5\/20 - m**4\/3 + 6*m. Find the third derivative of c(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 253118421 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**3 - 82*w**2 + 51*w + 30. Calculate f(20).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -43. Let z = a + 19.1. Let u = -1.1 - z. Round u to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 15 + 2\/3*x**3 + 7\/2*x**4 - x - 1\/2*x**2. Is w(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4475 + -3.5525. Which is the nearest to 2\/5? (a) 4 (b) 9906 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14868114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -214 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 46 - 79 = 0. Let n = -789 + 789. Solve -p = 3*l + b, -2*l = -n*l + 3*b + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23805644 to the nearest integer?\nAnswer: 4879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -20\/7, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 2:59 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.348 + -4.448. What is the nearest to -0.033 in 0.8, -1\/3, p, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250710 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/447 - -443\/894. What is the third smallest value in g, -1\/7, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10073813 + 16822497. Suppose 4*p = -5*d - i, d = -0*p + 2*p + 3374328. Let b = -757166 - p. What is b rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 639 + -1355. Let o be 6 - ((-6576)\/9 - -2). Let b = g + o. Find the common denominator of b and 3\/17.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-53 - 8 - -30) + -10).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/3416 and 19\/4.\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 11*b - 81. What is d(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4248186249 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76223 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-21)*1*6. What is the remainder when 83 is divided by (-203)\/(-21) + 1 - o\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n + 1506 + 42 = 0. Let b = 118 - n. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -422411.6 to the nearest ten thousand.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 504*m - 493*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (92676 + 15580*g**3 - 92675 - 4374*g**3)*(1 + 0 - 5) as b*g**3 + w*g**2 + o + m*g and give b.\nAnswer: -44824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a factor of 127642970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 7 + 0*z - 12 - 6*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 824*j + 42436.\nAnswer: 4*(j - 103)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1555, -2, -864 in ascending order.\nAnswer: -1555, -864, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = 8*j - 3*j, 0 = 2*w - 2*j - 6. Let f(r) = 25 - w*r + 2*r - 2*r**2 - 29. Let h(u) = -5*u**2 - 3*u - 11. Determine -8*f(q) + 3*h(q).\nAnswer: q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 20?\nAnswer: -13\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*p**4*s*u - 4*p*s**3*u - 21*p*u - 168*s**3*u - 5*u wrt p.\nAnswer: 20*p**3*s*u - 4*s**3*u - 21*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -43727 bigger than -43727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 352002136.\nAnswer: -1760010680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(1530\/198) + 2\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/(3\/(-42)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 - -413?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/12)\/((-2)\/(36\/(-2))). Let k(x) = 40*x**2 + 11*x - 9. Let v be k(p). Calculate the highest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(4\/(-22)*-21*(-6)\/(-84))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**5\/20 + 57*g**4\/8 + 59*g**3 - 159*g**2 + 1. Factor i(h).\nAnswer: -3*(h - 59)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**3\/3 + 3*s**2 - 10*s + 4. Let c be i(-8). Find the second derivative of -j**2 - c*j**2 + 4*j - 8*j + 6*j**2 wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9094509?\nAnswer: 3, 1010501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 15 = -2*d, -30*m + 32*m + 2*d - 18 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -2*h - 2*o + 5, -2*h - 3*o = 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 3*j - 2*j + j - 4*j - j + (j - j - j)*(5 - 6 - 1))*(-8*j + 8*j + 27*j).\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f = -102*f - 15*f - 104*f - 4743 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19922981.\nAnswer: 13, 103, 14879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v - 8. Let h(f) = 3*f**3 + 21*f**2 + 4*f + 2. Let x(l) = 5*l**3 + 37*l**2 + 7*l + 4. Let g(i) = 7*h(i) - 4*x(i). Give g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5468322 divided by -17.\nAnswer: -321666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226540 (base 7) in base 8?\nAnswer: -465274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64649*a**5 + 3*a**4 - a**3 + 38604*a**2 + 4 wrt a.\nAnswer: -3878940*a**2 + 72*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.5 + 7.5. Let u be ((-2)\/5)\/((-6)\/5). What is the nearest to 2 in u, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.8 * -939.3\nAnswer: -16719.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-2*sqrt(96) + sqrt(96) - sqrt(96)) + sqrt(96))*5)\/(4*(sqrt(588) - (-1*sqrt(588) - sqrt(588)))).\nAnswer: -10*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o - 1 - 5 - 9 + 30. Let k(q) = -2*q**2. What is k(c(h))?\nAnswer: -8*h**2 - 120*h - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-185)\/(-20) + (-2)\/(-1 - -9). Suppose -p = 10*z - 49. Suppose -2*t + z*t + 0*t = 0. Let r(c) = -c**2 + c + 2. Give r(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**5\/20 + 5*z**4\/16 + z**3\/4 - 17*z**2\/8 + 5*z\/2 - 113. Factor v(t).\nAnswer: -(t - 5)*(t - 1)**2*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 3:54 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25446 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, x: 1, f: 12, c: 1, w: 1}. Give prob of sequence nf.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/16 and -75\/92.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u + 2. Let s(q) = 3*q**2 - 30*q + 5. Let c be s(10). Determine w(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -6684\nAnswer: 267.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -70, -129, -188, -247, -306, -365?\n\"Answer: -59*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) -2\/33 (c) 0.3 (d) -0.1 (e) -8\/269\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12152 greater than -2320.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57 + 50)*(0 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -20)\/(-1) - -21. Let t(b) be the third derivative of 0 + 1\/525*b**u + 0*b**4 + 0*b**3 - 5*b**2 + 0*b - 1\/100*b**6 + 1\/75*b**5. Solve t(h) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -1, 2\/7, -1\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 0.02 (b) 1\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 - 5*s - 7. Let u be t(-6). What is the common denominator of u\/(24\/(-30)*(-31 - -1)) and 73\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-13))\/(m**(-7)\/m))\/((m**(-15)*m*m)\/m**7) assuming m is positive.\nAnswer: m**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8815302 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q**3 + 2*q**2 + 19*q - 1. Let p(h) = 21*h**3 + 5*h**2 + 39*h - 3. Determine -2*p(b) + 5*r(b).\nAnswer: 13*b**3 + 17*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -1\/6, 15, 14, 1\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14448 - 6144 - 26022 = 826*g + 36798 for g.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2286*p**2 - 11*p + 11. List the prime factors of k(1).\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*r + 40 = 154*r. Solve 3*o - 9 = -2*c + 5*c, 0 = -3*c - r*o + 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8974483 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 15138133*c**3 - 1 - 15138195*c**3 + 1.\nAnswer: -62*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) 1\/15 (c) 95 (d) -1 (e) 4\/7 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-4)\/312*3\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 191 - 183. Which is the nearest to -6\/13? (a) -3 (b) 0.1 (c) 5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10929 is divided by 10897?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n + 16. Let m(z) = -z + 1. Let v(g) = -g - 1. Let x(i) = 2*m(i) - v(i). Determine -2*a(t) + 11*x(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + -10 + (-2 - -7). Solve -v + 2 = 4*n + 9, 0 = -x*v - 5*n - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 0, 3 in descending order.\nAnswer: 90, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2184\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + 4*s - 4*s + (19*s + 28*s - 16*s)*(-2*s - 4 + 4) + s**2 + 0*s**2 + s**2 - 8*s - s**2 + 8*s.\nAnswer: -63*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5037049?\nAnswer: 17, 181, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/7))\/(d**(-6)\/d*d)*(d*d**(-2)*d*d*d)**(-46))**(-38) assuming d is positive.\nAnswer: d**(22686\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*(((sqrt(192) + 3)*1 + sqrt(192) - sqrt(192)) + -2 + -3 + sqrt(192) + 2*sqrt(192)*-1))**2.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/17)*p\/p**(-15))\/(p**(-5))**(-44) assuming p is positive.\nAnswer: p**(-3467\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26 + 292\/11*c**3 + 860\/11*c + 2\/11*c**4 + 864\/11*c**2.\nAnswer: 2*(c + 1)**3*(c + 143)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((288\/30)\/(-8))\/((-4)\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.96856 rounded to 1 dp?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 8:08 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0440266 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15\/7 - 31\/21. Suppose 10*i = 7*i. Suppose i = 3*n - n - 12. Which is the closest to n? (a) 4\/3 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l. Let u(b) = -7*b + 6. Let i(d) = d - 1. Let g(t) = -3*i(t) - u(t). Let p(z) = -2 - 3 - 18*z + 25*z. Let j(v) = -5*g(v) + 3*p(v). Give j(r(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78432, -157430, -236428, -315426, -394424, -473422?\nAnswer: -552420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3\/5 - 32*c\/5 = 0.\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Solve 2\/7*l**y - 4\/7*l + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -81. Let o(q) = -d*q + 20*q - 26*q. Let b(p) be the second derivative of -p**3\/3 + 3*p. Determine b(o(v)).\nAnswer: 104*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y - 3*y + 2088. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 3:00 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -4*r + 2*m, 4*r + 3*m = -67 - 11. Let s be (-9)\/r*21\/6. Which is the third biggest value? (a) 0.2 (b) -0.04 (c) 1\/3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 133.03 to 2 decimal places.\nAnswer: 133.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) 5 (c) 0 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 219 - 216. Let m(w) = 2*w - 2*w - 6655 + 6*w**2 + 6656 - w**f. Suppose 0 = 4*u - 19 - 5. Determine m(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2157 and -75\/4.\nAnswer: 8628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 17*v**2 + 14*v - 22. Suppose 3*a = -r + 6*r + 71, -r - 10 = -2*a. What is the remainder when u(r) is divided by 6 + (-2)\/(-2 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23476.\nAnswer: 2, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 12. Let l(k) = k**3 - 3*k**2 - 3*k + 6. Let i be l(4). Solve -2*w = -f*w - i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14594295 and 33?\nAnswer: 160537245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1 + 4)*(-46)\/(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 8:41 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 193980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*b + 5*h, 4*b - 5*h + 2 = -39 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*u + 1049 + 931. What is the greatest common divisor of 231 and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12682154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 + 3*i**2 - 3*i + 3. Let m be 3*-5*(1 - (-18)\/(-30)). Let w(u) = u**3 + u**2 - u + 1. Determine m*w(s) + 2*t(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1358290 (base 10) to base 4\nAnswer: 11023213102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 12*d**2 - 2*d + 1. Let v = -8 - -12. Suppose -5*j = -a - 4, -v*j + 2*a = 3*a - 5. What is the tens digit of x(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 - 101*g + 504. Determine a(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 28 = 5*f, 0 = -3*f - 9*s + 5*s - 4. Suppose -f*o - 722 = -722. Solve 2*k - 9 - 1 = o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1518 and 966.\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r + 2. Let w(i) = 39440*i + 37120. Give 92800*v(d) - 5*w(d).\nAnswer: -11600*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**5\/60 - t**4\/8 + 13*t**2. Calculate b(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 387 and 2193.\nAnswer: 6579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 99*h + 1. Suppose -q + 2*a + 14 = 0, 0*q = -4*q + a + 21. Is w(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (35 - (25 + 36))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**4 + 93572778*v**3 - 5855669*v**2 - 9*v - 6 wrt v.\nAnswer: 72*v + 561436668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.24 - -0.58. Let t = x + 0.06. Let m = 23 - 23.5. Which is the closest to 0.2? (a) -4 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 8*g + 5. Let y be 1\/(3\/6) + -10. Let l be j(y). Suppose -d + 5 = -4*s, -s = l*d + s - 47. Calculate the highest common divisor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 12335.706?\nAnswer: 12337.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -12 - 67*b - b**2 + 37*b + 14*b. Let f be c(-16). What is the units digit of (1\/4 - 1317\/f)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766463447.\nAnswer: 101, 1297, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 + 132\/(-15))\/((-6)\/(-20)). Suppose -2*h = -5*y - 773, 2*h = j*h + 5*y - 743. List the prime factors of h.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 140 + 204 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6 and -1\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 18. Suppose -12*y = -0*y + y. Suppose 5*p + 46 = -c, -2*c + 5*c + 4*p + 116 = y. Let t(b) = -1. Determine c*t(r) - 2*o(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + (-8 - -64 - -4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-1)*(-1)\/(-2). Suppose 2*s = -2*s + 112. Suppose -14 - s = -f*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by 21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v - 211 + 2*v**2 + 211 + (v + 1 - 1)*(-4*v - 2 + 2))*(-v**2 - 2*v**2 + 2*v**2).\nAnswer: 2*v**4 - 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-84)*-2)\/(14\/(-84)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1431747, 1431799, 1431885, 1432005, 1432159, 1432347, 1432569?\n\"Answer: 17*l**2 + l + 1431729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.30726673 rounded to zero decimal places?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2932350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4949818483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-3)\/18*16263\/834?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -12*p + 3. Let f(v) = -v. Let k(j) = -6*f(j) + r(j). List the prime factors of k(-5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c0a028 (base 13) to base 12.\nAnswer: 15bb1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284035760 a multiple of 5210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -52. Suppose -n - u = -3*n. What is the remainder when 55 - ((5 - 9) + 8) is divided by n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1007 and 33201797.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100000010010101010 (base 2) in base 4?\nAnswer: 3200102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1376306067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 13658554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1*61) + 1 + 4. What is the highest common factor of 40 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 1)*(-19*l + l + 2*l) - 7*l - 4*l - 27*l.\nAnswer: 58*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -5*o**4\/24 + 1473*o**2 + 2*o. Let h(w) = 4*w. Let d(i) = -i. Let y(b) = -2*d(b) - h(b). Calculate l(y(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**27)**(-21) assuming q is positive.\nAnswer: q**(-567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (363\/121)\/(9\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.3055 + 16.1055. Let p = 9.6 - -1.4. Which is the nearest to p? (a) -1 (b) -0.4 (c) j (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, f: 4}. What is prob of picking 1 f and 1 s?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 4:41 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*a + 40, -2*x + 2*a - 3*a + 10 = 0. Let u = x + -11. Let b = 19 + u. What is the greatest common divisor of 120 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 588?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -358, -1\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18141390611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkvk when four letters picked without replacement from {k: 6, v: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -4\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -2*w**7\/105 + w**6\/30 - w**5\/60 - 11*w**3\/6 - w**2 + w. What is the third derivative of z(g) wrt g?\nAnswer: -96*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1179*x - 2288*x + 1185*x.\nAnswer: 76*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -373*l**2 - 281985*l + 2286. Calculate u(-756).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f - f - 7*f + f - 5 with respect to f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*i + 31, -2*i + 5 = 19*m - 20*m. Solve -14*w = -13*w - i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 1. Let o be w(-2). Suppose 0 = -o*t + 3*f - 3592 + 1056, t + f = -504. Let l = t + 956. Round l to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 4*k**2 - 5*k - 19. Let p be i(10). Suppose -2*f + p = 5*c, -2*c - 2*c - f = -423. What are the prime factors of c?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and 5007.\nAnswer: -165231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5205517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 196 = -6*f + 4*f, -2*f = 2*t - 98. Suppose s - 711 = -5*l, 702 = 163*l - 158*l + 2*s. Calculate the remainder when l is divided by t.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -7, 24, 93, 212, 393, 648?\n\"Answer: 2*s**3 + s**2 - 12*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.16 - 11. Round l to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2\/5 - 63*c\/5 + 294\/5 = 0. Calculate c.\nAnswer: 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q - q = -28140. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205543278?\nAnswer: 2, 3, 1151, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-4)*(-4)\/(-1). Let q = -4 - o. Let d(k) = k + k - q*k. Give d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9387 + 23990. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*z + 292 = 0, -25 - 1375 = -5*x + 5*z. Let k = -259 + x. Calculate the greatest common divisor of k and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7925778 to the power of 1\/2, to the nearest integer?\nAnswer: 2815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/196303 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.5, 0.1, -1.1, 2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, v: 1, j: 1, g: 5, y: 1, r: 4}. Give prob of sequence rgq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5\/9 - 28*s**4\/9 + 26*s**3\/3 + 28*s**2\/9 - 80*s\/9 = 0.\nAnswer: -1, 0, 1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 406336.\nAnswer: 1\/101584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k**(-19\/2)*k*k))))\/k**(-1\/4) assuming k is positive.\nAnswer: k**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2560 and 283664896?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 7547\nAnswer: 7568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -126, -251, -372, -489, -602, -711?\n\"Answer: 2*l**2 - 131*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m = -8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103621 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 5*p - 11. Let m be g(7). Suppose -m*n = 2*s - 1977, -866 = -4*n - s + 1770. Suppose 4*h = n + 4785. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130008 to the power of 1\/2, to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -19298156*x + 19298151*x + 20, -4*x - 5*b + 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 9*j**2 - 51*j + 3. Let h be t(13). Suppose 0 = h*g - 32 - 80. Solve -o = -v + g, 2*v = v - o - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + 2)**2 + 2 + -3 + -2.\nAnswer: 12*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*t + 2, -5*g - 2*t + 26 = -0*g. What is the smallest common multiple of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -1) + 6\/1. Suppose -2*j = -0 - r. Suppose -4*i - 2*c + 24 = 0, j*c + 8 = 2*i + 2*c. Put 0, 3, i in ascending order.\nAnswer: 0, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6543283?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 16*z**3 + 2*z**2 + 40*z - 39. Calculate the remainder when c(1) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -56 from -2432.\nAnswer: -2376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -49?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/11 (b) 0.1 (c) -2\/25 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 4*x**3 - 250921 + 250921 + 3*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2. Let r(a) be the first derivative of -8*a**3\/3 + 13. Determine r(u(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131333101023 + 10?\nAnswer: -131333101013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -136*t + 110*t + 260 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*q - 5*f = -157*q + 257, 320 = 2*q + 4*f. What is the highest common divisor of q and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.75 - -0.7499929. What is n rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23, -43, -73, -113, -163, -223, -293?\n\"Answer: -5*k**2 - 5*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 - (-1 + 7) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i - 38*i = -2*k - 10, 0 = 4*k + 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 484 and 990869?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -16546 and -3075.275129.\nAnswer: -19621.275129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 10. Let d be f\/10 + (-54)\/(-15). Suppose -d*c + 2 + 28 = 0. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -3233?\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - 5*v. Let u(r) = -3*r**2 + 4*r + 1. Calculate 3*u(j) + 2*z(j).\nAnswer: -j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 89114, 89115, 89122, 89141, 89178, 89239, 89330?\n\"Answer: q**3 - 3*q**2 + 3*q + 89113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-20)*0)\/2. Suppose b = p - 12 - 11. Calculate the remainder when 44 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 690*y - 270372. Give p(-279).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 14 + 22. Let m = y - -32. Solve -2*g = c + 1, 0 = -2*g + 2*c - 0*c + m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/495*-5*-2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuutuhhsuu. Give prob of picking 1 u and 1 s.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -u + 10, 6*l - 85 - 49 = -3*u - 86 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 - 12*c**3 + 17*c**3 + 21*c**3.\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:32 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -3*v**5\/10 - 3*v**2\/2 + 16*v - 4050. Suppose -f = -4 + 7, -25 = -2*l + 5*f. Let d(g) = 9*g**3 + 4. Give l*d(h) + 8*s(h).\nAnswer: -3*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 823*k - 821*k - 9*f = 30, 4*k + f + 16 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*x**4 + 63 - 63 + (-4*x**2 + 6*x**2 + 5*x**2)*(2*x**2 + 1 - 1).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633849 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.044\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + z**2 - z + 2. Let i be f(2). Let n = i + 41. What is the remainder when n is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 3 + 10 - (6 + 612\/(-66) - 7).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 4. Let q be a(-7). Solve 2*p = 4*d - 4, 2*d - p - 2 = -q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-6*j + 10*j + 6*j) + 5*j + 2*j - 3*j + (0*j - j + 0*j)*(0 - 5 + 4) - 50 - 4*j + 50.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/8 - 75\/(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 69889530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (9 - (-1330)\/20)\/(2\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1297, 1004, 711, 418, 125?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by 1178.\nAnswer: -37\/1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 4. Calculate x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*o**4 - 38*o**2 - 9*o**4 - 16*o**4 + 13*o**2 wrt o?\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 413 + -376. Let c = 234 - j. What are the prime factors of c?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 567?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39 and -12910811.\nAnswer: -503521629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 s when four letters picked without replacement from {r: 3, f: 11, s: 4}.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21969 by 8.\nAnswer: -21969\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21201011221 (base 3) to base 10.\nAnswer: 151765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 1, -105, -62 in increasing order.\nAnswer: -105, -62, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34210 is divided by 128.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1370?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 172744215733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -958 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 121405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 8:52 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8715 rounded to two decimal places?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/2 - -5. Let c = -488085\/4 - -122019. What is the closest to x in c, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 37*p - 73\/12*p**4 + 5\/2*p**3 + 1\/2*p**2 + 0. What is the second derivative of k(v) wrt v?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331472909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -1\/30*x**5 - 1\/9*x**3 + 0*x + 1\/36*x**6 + 0 + 4\/315*x**7 - 5\/36*x**4 - 2*x**2. Find h, given that f(h) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 14 = 3*p + 2*z, 4*p + 5*z + 8 = 0. Suppose 0 = 19*x - 29*x - 90. Let v be (x - -6)*10\/6. Sort p, v, 4 in decreasing order.\nAnswer: 4, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.746574 and 60.\nAnswer: 224.79444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -459. What is the remainder when x is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**5\/30 + 27*c**3\/2 - 41*c**2 + 13. Let h(r) = -255*r**2 - 261*r**2 + 515*r**2. What is j(h(n))?\nAnswer: 2*n**4 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139 or -165?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-3\/2))**(21\/2)*a**3*a*a*a**(-10)*a)**49 assuming a is positive.\nAnswer: a**(4361\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32252 + -555?\nAnswer: -33027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 4, -1\/7, 2\/13, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(334 - 4*m - 287 + 0*m).\nAnswer: 4*m - 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -223, 1, 2, 3, -5 in descending order.\nAnswer: 5, 3, 2, 1, -1, -5, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, i: 2, g: 4, s: 2, c: 3, a: 2}. What is prob of sequence rgs?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.9 + -13.9. Let s = -19 + 20. Put -1, s, 2\/5, a in descending order.\nAnswer: s, 2\/5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 7. Let w be k(6). Let f be w + 25 - (1 + -1). Suppose -5*s + 2*s = 2*n - f, 0 = 2*s + 8. Calculate the remainder when 36 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 15. Suppose -1 - 6 = -s. Let q(c) = 2*c**3 - 15*c**2 + 4*c + 10. Let r be q(s). Give p(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 + 511300*p + 2.\nAnswer: 511300*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k - 4. Let s be l(5). Let u = -22557 - -22809. What is the greatest common divisor of u and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = 1. Let m(c) = -c**3 - 3*c**2 + 4*c + 5. Let x be m(g). Suppose 2*y = -x + 1. Do -1 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 342, 672, 1012, 1368, 1746, 2152?\n\"Answer: j**3 - j**2 + 326*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2 and 61\/978.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 84*x**3 + 75*x**3 - 190*x**3 + (x**2 + 0 + 0)*(-x - 2*x + 24*x) + x**3 + 0*x**3 - 4*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -1125?\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/6, 4, 6, -1\/56, 8 in decreasing order.\nAnswer: 8, 6, 4, 1\/6, 0.1, -1\/56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10864997.02 rounded to the nearest 100000?\nAnswer: 10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-117))\/(-128 - (-9208)\/72)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 600 = 5*t, -560 = 5*t - 6*x + x. Let c = 103 + t. What is the common denominator of c and 873\/30*(-2)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2752177\/72 + -38224. What is the common denominator of p and 127\/720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 76.4 + -84. Let g = r + 7. Which is the third smallest value? (a) g (b) 3\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 74 - (1 - 2)*-5. Let b(r) = 67*r**2 - 101 - v*r**2 + 93 + 10*r. Calculate b(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**2. Let o(z) be the second derivative of -z**4\/4 + 11*z. Give o(t(m)).\nAnswer: -75*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 12*l - 22. Let c be z(12). Let m = -25 - c. What is the units digit of 1\/(-2)*42\/m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 255\/2? (a) -14356\/5 (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 15 + 11, -4*p - 28 = -4*r. Suppose 0 = -w - 0*w + 3. Suppose 0 = -k - v - 2, -4*v - 10 = 2. Solve -l = -w*b + 9, k = -r*b + 3*l + 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 9 + 8)*(-a - 3 + 3).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 368856, 737713, 1106570, 1475427, 1844284, 2213141?\n\"Answer: 368857*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3437, 3435, 3425, 3401, 3357, 3287, 3185, 3045?\nAnswer: 2861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 2*c + 35, -4*c = r + 1531 - 1502 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 124704398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85346672 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1 - (-53 - (-4 + 6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3*i + 1 + 2)*(1339*i**3 - 2114*i**3 + 9*i**2 + 1119*i**3) to z + u*i**3 + y*i + v*i**4 + x*i**2 and give v.\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -4*b + 14, 0 = 5*b + m + 4*m - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -11*r - 4. Let h(v) = -21*v - 7. Let y(b) = -11*f(b) + 6*h(b). Let c(s) = -12 + 9*s + 13 - 4. Determine -3*c(u) - 5*y(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 2575 = -6777. Calculate the remainder when y is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776 = 4*a - 4*m, -4*m + 516 = 3*a - 45. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1649*p + 1989*p + 2743*p in the form y*p + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 568.3461 millimeters in meters?\nAnswer: 0.5683461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48033769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.051 - 3.549. What is b rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:42 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let f(u) be the second derivative of u**4\/6 - 24*u**3 - 2790*u. Calculate y(f(t)).\nAnswer: -4*t**2 + 288*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -5. Let o(g) = -3*g**2 + 2*g. Let l(u) = u**4 - u**2 + u. Let v(q) = c*l(q) + o(q). Find the third derivative of v(f) wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 13 = 4*p, -2*n - 22 = -1051*p + 1056*p. Are n and 30\/1459 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 60, -5*y - 242 + 74 = -p - 107 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*u - 2*l + 6 = -871*u, 0 = -4*u - l + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 11) to base 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*x - 12*x = -18147. Is x 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 zwsej. What is prob of sequence sw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 18*t + 13*t - 28 + 56.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(320) + 0)**2 - (sqrt(320) + (sqrt(320) + 0)*-2 + sqrt(320))*6.\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 4619894517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -4, 105, -5 in decreasing order.\nAnswer: 105, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*l + 2*r, l + 10*r - 5*r + 23 = 0. Let i be -4 - (-150)\/(-2) - (-8 - l). Do i and -75 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20860 - -21698. Calculate the remainder when s is divided by 75.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 361*c - 2710. Determine a(6).\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 60973.85mm in nanometers?\nAnswer: 60973850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.6 minus 165892312?\nAnswer: -165892274.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-9)\/3*1\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + q = -47, 3*v = 3*q + 3 - 42. Let z = -30 + v. Let w = z - -57. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*h - 12 - 4, -5*r - 4*h - 6 = 0. Suppose -4*m + 18 = 5*z, -2 + 12 = r*z + 3*m. Solve 0 = -5*c + 3*l - 18, 3*l = l + z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j*j\/(j\/((j*((j\/j**(-9))\/j)\/j*j*j)\/j)))\/j)))**(14\/3) assuming j is positive.\nAnswer: j**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -167 (b) 2450 (c) 0.1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5318263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1, 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14981773 divided by -2?\nAnswer: 14981773\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -961*n - 8419. What is the hundreds digit of v(-23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 14*u**3 + 63*u**2 + 12. Let p(z) = 27*z**3 + 124*z**2 + 22. Determine 6*p(s) - 11*q(s).\nAnswer: 8*s**3 + 51*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**2 - q + 49. Let u be m(-8). Suppose u = 6*v - 627. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkkavvvvvvvkvz. Give prob of picking 1 k, 1 v, and 1 a.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**5\/20 + r**2. Let z(o) = -14*o**2 + 12343 - 12343. What is w(z(l))?\nAnswer: -588*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 1 - (-201 - -211).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1487\nAnswer: 4461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 + (-6 - 3) + (1 - 1). Solve 0 = n*v, -2*c = c + 5*v + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13727.0415 times 0.2?\nAnswer: 2745.4083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -x + 2*d, d - 168 = -4*x + 5*d. Let o(u) = u**3 + 7*u**2 + 2*u - 8. Calculate the remainder when x is divided by o(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1.4 (c) -3\/4 (d) 4.2 (e) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 10:31 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n + 6. Give j(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 641a (base 12) to base 3\nAnswer: 120001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - p - 2. Let a be h(-3). Suppose 3*l - 4*z - a = 2*l, 4*l = -3*z + 135. Suppose -2*t - 3*t = -l. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44888\/47 - -955. Let d = 315\/517 + p. Let n = d - 7\/33. Put n, 0.4, 0 in ascending order.\nAnswer: 0, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -787.9 - -788. Sort 164, 0.5, a in descending order.\nAnswer: 164, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g - 9*g + 55*g**2 - 105*g**3 + 0*g - 25*g**5 + 85*g**4.\nAnswer: -5*g*(g - 1)**3*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 4363?\nAnswer: 4362.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**2 - 4*z**2 + 3*z**2 - 4*z**4 wrt z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (16 + -9 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -89, 8, 2\/3, -0.1, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 6*w - 3*v - 396, -2*w + 198 = 2*v. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**2 + 20*n + 8806. Calculate p(40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2310, 2099, 1886, 1671, 1454?\n\"Answer: -d**2 - 208*d + 2519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6261205*f**3 - 5687295*f**2?\nAnswer: 37567230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347482993?\nAnswer: 107, 739, 17041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6734756 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9182280 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5236 at least -3698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 8*c**2 + 6*c + 8. Determine n(-4).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 11:15 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 21. Which is smaller: n or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2453, 2087, 1723, 1367, 1025, 703, 407?\n\"Answer: l**3 - 5*l**2 - 358*l + 2815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -14*k + 13*k - 30, -18 = k - 2*a for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 8. Let j be v*((-25)\/(-30))\/(5\/(-10)). Solve -j*n = -10*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 740 and 132608.\nAnswer: 663040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**4*n**3 - 39348644*i**4*n**2 + 2*i**2*n**3 - 2*i**2*n**2 + 1599114*i*n**3 - 2*i*n**2 - n**3 - 4*n wrt i.\nAnswer: 96*i*n**3 - 944367456*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 5*x + 16, 4*x - 2124 = 5*t - 2088 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -1452*t**5 - 81972*t**4 - 392775*t**3 + 24735900*t**2 + 11300625*t + 1286250 = 0.\nAnswer: -35, -5\/22, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7204.5 + -7204. Which is the fifth biggest value? (a) -4 (b) h (c) -3\/7 (d) 9 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 235, -3, -0.2?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdyddyyhwwhydy. Give prob of picking 2 w.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2673, 8, 1, -5, 4.\nAnswer: -2673, -5, 1, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 5. Let l(p) = -p - 2. Calculate 7*l(a) - 2*t(a).\nAnswer: -a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00974449 to six decimal places.\nAnswer: -0.009744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**5 - h**4 - 1. Let u(x) = -15*x**5 - 5*x**4 + 19*x - 5. Let z = 17 - 12. Let l(o) = z*i(o) - u(o). Find the second derivative of l(t) wrt t.\nAnswer: 400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 12*f = 5*v - 238, 0 = v - 2. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835 is divided by 407?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 + -1.4. Let o(f) = f**3 + 12*f**2 + f + 10. Suppose 0 = 4*n + 3 + 45. Let u be o(n). Which is the biggest value? (a) u (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 7*i + 36. Let x = 8 - 7.7. Which is the closest to -1? (a) 0.5 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17463, -17372, -17235, -17058, -16847?\n\"Answer: -i**3 + 29*i**2 + 11*i - 17502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 1, i: 4, v: 2, e: 3}. Give prob of sequence vw.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 295 - 2025*i**2 + 950*i**2 + 1081*i**2 + 3177*i**3 wrt i.\nAnswer: 19062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -300, 1\/2, -3, -32, -1, -6 in increasing order.\nAnswer: -300, -32, -6, -3, -1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.449 + -5.649. What is the second smallest value in m, 5\/3, 2\/5, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzaaaszszfaaozazsz. What is prob of picking 1 o and 1 a?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -130523.196 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -474*d**5 - 27*d**4 - 503*d**2 - 116*d.\nAnswer: -28440*d**2 - 648*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 43322*h - 1691031. Determine v(39).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/1408355 and 107\/1222.\nAnswer: 2816710","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzzfffzllf. Give prob of picking 2 l and 2 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -705 - -5?\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -17. Let q = 10 - -28. Let f = q - b. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5356559 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9523 - 6157 = 448*k for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111 - -122?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 18 - 3044*b - 38.\nAnswer: -3044*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534*c - 565*c + 651 = 0 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkk when three letters picked without replacement from jjkkkkkkkjkkkjkkkjj?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121223 and 482?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -838 (base 9) in base 2?\nAnswer: -1010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 + 523. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l = -18*l + 1476. Let j = 290 + l. Calculate the remainder when j is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 6*r - 5. Let s be n(4). Suppose -2*c - s*c = 0. Let b(q) = 3 + 2*q**2 - 3*q**2 - 2*q + c + q. What is b(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, l: 6, w: 7}. Give prob of sequence jlw.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 5, 59, 106, -53, -4 in descending order.\nAnswer: 106, 59, 5, -1, -4, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -7. Let i be 4\/(-10) + (-64)\/(-110). Let w = 0.9 + -1. Which is the nearest to w? (a) i (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -461, -685, -907?\nAnswer: -1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-56)\/(-420)*-1*1\/(-14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**3 - 5*u**2 - 3*u - 1. Let k(q) = -q**3 + q. Let t(l) = -a(l) + 4*k(l). Determine t(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -42, -91, -180, -321, -526?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/20 and -167\/780.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -34, -62, -90?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44206\/43 - -1028. What is the third biggest value in 4, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -694 - 1946. Let f be 3 + ((-9)\/2)\/(15\/i). Is 0 - 1 - (-17)\/(f\/3792) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.96 times 0.11\nAnswer: 0.2156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*y + 35, -3*h - 4*y = -0*y. Suppose 294 = h*r - 194. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 18*l**3 - 14*l**2 - 7. Let v(z) = 55*z**3 - 43*z**2 - 19. Let r(q) = 4*v(q) - 11*x(q). Find the third derivative of r(f) wrt f.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 18*j + 13 + 16 - 32. Let m be l(4). Let f = 70 - m. Solve -5*u = 3*i, 2*i + 1 + f = -4*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -37648\nAnswer: 301184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -21*d**2 + 16. Let q = 69 + -71. Let p(z) = z**3 - 10*z**2 + 8. Let i(m) = q*h(m) + 5*p(m). Let x(u) = 2*u**3 - 3*u**2 + 3. What is 3*i(v) - 8*x(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - d + 3. Let u be k(0). What is the second derivative of u*w**3 - 2*w - 3*w + 6*w wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1027, -3721, -8183, -14395, -22339, -31997, -43351, -56383?\n\"Answer: 3*m**3 - 902*m**2 - 9*m - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 11*o - 53. Let n be j(-18). Let p(w) = -64*w - 71*w + 205*w - n*w - 4. Calculate p(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 36. Let m = -12 + 8. Let d be (0 - 8)*2\/m. Solve -v = -d*s + 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 = -2*g, -4*i = 3*g + 14 - 1. Let q(p) = p**3 + 4*p**2 + 4*p. Let f be q(g). Is 2\/f - 8512\/(-42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-8) + 159\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*s + 690, 4*t + 0*s - 5*s = 570. Let h = t - 78. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2550 (base 6) to base 13.\nAnswer: 3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 798 and 343434?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3241699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4 - 4 - w**2. Let i(f) = 4*f**2. What is h(i(l))?\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - (-1463)\/28) + -27.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 206*l + 167. Let d be p(-5). Let n = -336 - d. What is the highest common divisor of 31 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(576)\/sqrt(12) - sqrt(12)\/sqrt(64) - ((5*-3*sqrt(3) - sqrt(3)) + 2)**2.\nAnswer: -772 + 271*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - -29224231?\nAnswer: 29224230.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 - -1 - -1 - (-5)\/1. Calculate the common denominator of ((-469)\/42 - -14) + q + 1 and -13\/46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 32663.9 and 99615350?\nAnswer: 99582686.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 1 - j**3 + 0*j**3 + 165*j**2 - 283*j**2 + 132*j**2 to a*j + p*j**2 + h*j**3 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10, 56, 134, 244, 386?\n\"Answer: 16*z**2 - 2*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-2)\/19) - 2. Let q be ((-15)\/(-5) + -9)\/(2 + -4). Suppose 2 = q*x + u. Is x < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 6*m. Let g = -1 + 4. Suppose -b = 2*w + 2, 0 = g*w - 6*b + b + 3. Let s(r) = -r. Let c(z) = w*q(z) + 6*s(z). Let o(p) = p. Give o(c(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 + 5*z**2 + 10*z**2.\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 166817635 to the power of 1\/2, to the nearest integer?\nAnswer: 12916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1958683, 1958706, 1958753, 1958830, 1958943, 1959098, 1959301, 1959558?\n\"Answer: y**3 + 6*y**2 - 2*y + 1958678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/(-63) - (-2)\/7. Let x = 1 + n. Put x, 2, 3 in ascending order.\nAnswer: x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 1. Let p(h) = 8*h + 1. Let m(s) = 6*n(s) + 3*p(s). Let j(x) = 2*x - 2. Let d be j(5). Is m(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19285257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 2, t: 5, x: 1, n: 1, o: 3}. What is prob of picking 1 n and 1 k?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - n**2 - 6. Let s = -1730 + 1721. Let o(z) = 2*z**3 + 2*z**2 + 13. Suppose 5*y + 14 = -6. Give s*d(a) + y*o(a).\nAnswer: a**3 + a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**2\/2 - 5*w + 1. Let o(c) = -c**2 - 6*c + 11. Suppose f = 2*s + 3, -f = f + 2*s + 24. Let i be o(f). Determine q(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 10*y + 3*y + 318 - 6*y - 6*y in the form f*y + n and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 16*a - 63. Let g be i(20). Let x(s) = s - 10. Let c be x(8). Let h be (-70)\/(-1 + 0) + c. Calculate the highest common divisor of h and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 11:04 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (1*(sqrt(192) + 5))**2.\nAnswer: 80*sqrt(3) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, a: 1, w: 1, k: 2, j: 2}. Give prob of sequence jakk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x**3\/x)\/x)*x*x**(5\/7)*((x\/(x*x**(-2)*x))\/x)**(-48) assuming x is positive.\nAnswer: x**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (7 - (-12 - -20)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gglgggglgglggg. Give prob of picking 3 g.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(-32) + -8 + (-75)\/60?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1209 divided by -93\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 3620700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -1\/39 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 18 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2\/5 + 684*a\/5 + 10761\/5 = 0.\nAnswer: -211, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12*l**3 + 57*l**2 - 20*l - 10. Determine y(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39791 is divided by 201?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5488 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -524, -1, -23, -2, 1 in descending order.\nAnswer: 3, 1, -1, -2, -23, -524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*x - 24, 332*n + 2 = 335*n + 2*x. What is the nearest to n in 5, -0.3, 4\/5, 1.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -45*q - 96. What is j(15)?\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447674 is divided by 49707.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/3*1*(12 - 16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 15. Let x be o(-10). Let v be ((-196)\/(-70))\/((-1)\/x). Calculate the highest common divisor of v and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11070058 and 11070059 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -42 - 28 - -53.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 3*i**3 + 2 + 12 + 7 to o*i**2 + z*i**3 + f + x*i and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271?\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8985 = 5*m - c, -196*c = 4*m - 194*c - 7202. Is 31 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**6\/120 - w**3\/6 + 1220*w**2. Let y(f) = 5*f**3 - f**2 - 1. Give 2*x(n) + y(n).\nAnswer: 3*n**3 - n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23064 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 4. Let b be i(-6). Let y = 7 + b. Suppose -12 = 3*j + 3*l, y*j - l - 6 = -2. Solve -2*v + 4*h = v + 10, -v - 2*h = j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 - -123. Put -44, g, -7 in descending order.\nAnswer: g, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9959*y + 1480*y = -118706 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5 + 221*o - 216*o + 6. Give c(-10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - -1) + 1 + (-53 - (-39 + -102))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2774\/4741 - -5\/862. What is the common denominator of o and (-9)\/(-12)*594\/(-814)?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 17, 5, -11, -31?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 7)\/((-6)\/4). What is the remainder when 5 is divided by (6\/x)\/(3\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-14)\/(d*d\/((d**(-2\/31)\/d)\/d)))**(1\/7) assuming d is positive.\nAnswer: d**(-80\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9)*o*o*o**(-16)*(o**(-4\/5))**48)**48 assuming o is positive.\nAnswer: o**(-37888\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -3)*-2 + (-6364)\/(-4). Calculate the greatest common factor of 22 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 589c - -4ca2?\nAnswer: a871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -98*k**2. Let g(s) = -7*s + 510. Let i(m) = 4*m - 238. Let o(u) = 7*g(u) + 15*i(u). Determine l(o(f)).\nAnswer: -11858*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2aae + 202?\nAnswer: -28ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17365 - 16395 + 7615 + 2092)*(-2*y + y + 3*y) to the form o*y + r and give o.\nAnswer: -48106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108891818 and 574.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2240 * 1.8\nAnswer: -4032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001126 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2724229421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 24*d**2 - 10054*d + 260046. Give n(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(20)*2 - (sqrt(40)*2)\/sqrt(2))**2.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20339 and 2706936?\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, o: 3}. Give prob of sequence ooee.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 3*f**2 - 6*f - 4. Let u be d(-4). Suppose u*n = -n - 240. Let t = -26 - n. Round t to 0 dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260965979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -186*h + 1872. What is d(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 - o - 1. Let f = -12 + 11. Let r be c(f). Sort -2\/15, r, 2 in decreasing order.\nAnswer: r, 2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139 - 72. Suppose 2*c - r = -57. Solve 2*n - c = -5*o - 18, 5*o + 17 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 234587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761452.\nAnswer: 2, 41, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454*c - 456*c + 2026 = 0. What are the prime factors of c?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -983, 0, 12 in ascending order.\nAnswer: -983, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 2*q + 28. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 111242.\nAnswer: 222484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4\/4 + 333*r**3\/8 - 396*r**2 - 2433*r\/2 - 504 = 0. What is r?\nAnswer: -2, -1\/2, 16, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)*w)\/(w*w**(-1\/9)*w)*w**(2\/7)*w*w\/w**(-2\/7) assuming w is positive.\nAnswer: w**(149\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/376185 and -41\/72.\nAnswer: 9028440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83328?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -8937*p**2 - p + 1200. Let y(s) = -s. What is t(y(u))?\nAnswer: -8937*u**2 + u + 1200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/48)\/(1\/(-12)) + 6. Solve -h + 11 = -2*w, -h - 6 = h + n*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492139 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 5*o**2 - 124*o - 25. Calculate x(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -35*k**2 + 3. Let u(o) = 1610*o. Give m(u(j)).\nAnswer: -90723500*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6*f. Let y be 2 + -2 - (f + -2). Solve -y*x + 3 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99690074?\nAnswer: 2, 11, 17, 19, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 - 154 = -263*m + 423. Solve 5*j + 6 = -119*g + 117*g, 5*j = -m*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*425 - -2) + -3. Let a = 1212 + l. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 533 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3619*-0.052\nAnswer: -188.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 53.83362 milligrams?\nAnswer: 0.00000005383362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/28 and -37\/3498?\nAnswer: 48972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356251 is divided by 122?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 7:48 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121 and 44?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 521*-0.1404.\nAnswer: -73.1484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 8*u**4\/15 + 74*u**3\/15 - 26*u**2\/5 - 184*u\/15 - 8\/3 = 0.\nAnswer: -10, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, -11.34, -8\/7 in ascending order.\nAnswer: -11.34, -8\/7, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 57\/12 + (-1)\/(-4). Suppose k - 23 = -5*u, 19 = z*k - 0*u + u. Suppose -104 = -k*y + 118. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 - 236*z**2\/7 + 5878*z\/7 - 5644\/7.\nAnswer: 2*(z - 83)*(z - 34)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 130*y - 47 + 47 - 131*y. Let i(a) = 2*a - 19. Determine i(l) + m(l).\nAnswer: l - 19","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is -112964 (base 10) in base 4?\nAnswer: -123211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 2:30 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 600585784 a multiple of 622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/12 - (-40)\/6. Let q = d - 4. Suppose -3*f + 39 = -t - 14, -3*t = -q*f + 47. What is the highest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 62*j - 1435. Give s(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 864765 and 33193?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3)*r\/(r**(-3)*r)*r*r**(2\/17)*r*r*r**5*(r**(1\/3)\/r**(4\/3))**(-36\/7) assuming r is positive.\nAnswer: r**(1578\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/23 (b) 31 (c) -1.9 (d) 0.5 (e) -1 (f) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -600358 + 5?\nAnswer: -600353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -2.1. Let h = 0.06 - -0.14. Let i = -0.1 + h. Is d greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 14284713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o*u**2*w + 3*o*u*w - 3*o*u - 89*u**2*w + 3*u + w wrt u.\nAnswer: 2*o*w - 178*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*w**5 + 5*w**4 - w**3 + 163*w + 13.\nAnswer: 960*w**3 + 60*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(175) + 1 - ((3*sqrt(567) - sqrt(567)) + -3))**2 + -3.\nAnswer: -234*sqrt(7) + 1261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/104 and -107\/4380376.\nAnswer: 4380376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/(-80) - -13*2\/(-8). Put -2, p, -3, 1 in decreasing order.\nAnswer: 1, -2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*w - 22 = -4*w, w + 215 = -5*u. Let x = -3\/16 + 11\/16. What is the common denominator of ((-36)\/84)\/(4\/u) and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 + o + 2. Let l be c(-2). Let v = l - 10. Calculate the remainder when 18 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**5\/50 - 3*d**4\/40 + d**3\/30 + 3*d**2\/20 - d\/5 - 88. Factor i(q).\nAnswer: (q - 2)*(q - 1)**2*(q + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3*j - 8. Suppose 2*u = -j*a, 4*a + 2*u - 4 = u. Let r be ((-1)\/a)\/(2\/(-4)). Sort 2, r, -3 in increasing order.\nAnswer: -3, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37981 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*1*sqrt(95) + sqrt(95) - (sqrt(95) + -1*sqrt(95)*2))\/(sqrt(500)*-2*-4).\nAnswer: -4 + 3*sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -258 - -5743?\nAnswer: 5474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r**3 + 6*r**2 + 4*r + 11. Let y(q) = 8*q**3 - 6*q**2 - 4*q - 11. Let c(u) = 6*l(u) + 7*y(u). Is c(5) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -459 (base 16) to base 14.\nAnswer: -597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26724260 to the nearest integer?\nAnswer: 5170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 0 + 4*l - 4 + l. Let z(k) = 4*k - 3. Let c be (-1 - -3)\/(32\/48). What is c*z(x) - 2*b(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 0.5, 9945.71?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -634948, -2540002, -5715092, -10160218, -15875380, -22860578?\n\"Answer: -635018*s**2 + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/1 - 1\/(-1). Suppose -2 = v*a - 5. Suppose a - 4 = -3*m. Is 1 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -379*w**3 + 175*w**2 + 2*w wrt w?\nAnswer: -2274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3002?\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 8:19 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2382 divided by 7.\nAnswer: 2382\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26 + 0.56. Let n = -14 + 63. Let t = n + -45. What is the nearest to -2\/3 in t, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45613 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81418067363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2 = 2*g - 5*c, -c = 2*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*u + 14 + 83*u - 37*u in the form w*u + p and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158 - 126. Let c(j) = j**3 - 31*j**2 - 8*j + 63. What is the tens digit of c(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 5500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545377 (base 12) to base 14.\nAnswer: 26ad99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 4*l**4\/3 + 23*l**3\/3 - 28*l**2. Differentiate z(q) with respect to q.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**4 - 11*u**4 - 178 + 3*u**2 + 181 + 2*u to a*u**3 + n*u**2 + f*u + i + w*u**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + o**2 - o + 5. Let l be v(0). Suppose -176 = -l*a - 16. Let h(u) = 5*u - 1. Let p be h(1). What is the greatest common divisor of p and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 235, 2, 18, 5, 1, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(98) + sqrt(98))*3 + 1 + -3*sqrt(98))**2 + (sqrt(200)*1 - sqrt(8))\/((sqrt(4) + sqrt(16)\/sqrt(4))*4).\nAnswer: -83*sqrt(2)\/2 + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77740105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 140820225 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: 3*(-8)\/102*(-1)\/(-2)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4994, -2\/3, -21\/8 in descending order.\nAnswer: -2\/3, -21\/8, -4994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 5)\/((3 - -4) + -5). Suppose -a*i = 2*i - i. Suppose -3*h = -d - 81, 3*d = -d. Solve i = 5*n + h - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 354 - 354.5. What is the closest to 1 in d, -2\/13, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 2*u + 2. Let l be f(2). Calculate the common denominator of -91\/10 and l\/27 + 143\/18.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(-4 - c + 4) - 2 - 4 + c + 0.\nAnswer: -2*c - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**6\/720 + x**5\/12 + 31*x**4\/6 + 17*x - 1. Let w(f) be the third derivative of r(f). Determine w(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 82*r**2 + 10*r + 11. Is a(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19499341 is divided by 52?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/8 - -9\/8. Is n <= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (56\/60)\/(2\/6) + -3. What is the closest to a in -1, 16, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2440 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11591594 to the nearest integer?\nAnswer: 3405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3\/2 - 3307*k**2\/2 - 5301*k\/2 - 1989\/2.\nAnswer: (k - 663)*(k + 1)*(5*k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 9. Let p(i) = i + 5. Suppose v = -b + 1, -5*v + b + 2 - 3 = 0. Suppose v*z = z + 3. What is z*r(n) + 5*p(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 128*q**2 - 956*q + 746. Determine r(-120).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14125a + 5b?\nAnswer: 1412b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 34. Let i(o) = -13*o - 77. Let u be i(-6). Let p be 1 + u + 1 + 0. Which is the third smallest value? (a) h (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*m + 5 = 3*d, -4*m = 8. Let k(b) = 8*b - 3. Let n be (7\/2)\/(2\/4). Calculate the remainder when k(n) is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186428.\nAnswer: 2, 11, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26417, 52780, 78949, 104828, 130321, 155332?\n\"Answer: -16*l**3 - l**2 + 26478*l - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-336) - (-3)\/(-12).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2328.232, -1, 1?\nAnswer: -2328.232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 243881669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/5)\/b)**24)**24\/(((((b\/b**3)\/b)\/b)\/b*b\/(b*b**(3\/4)))\/((b\/(b*b\/b**(2\/5)))\/(b**(-5)*b))) assuming b is positive.\nAnswer: b**(4791\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 27. Let h be l(0). Let f = h - 57. Let d be (-2)\/(-5) + 12\/f. Solve 9*i - 4*i + 25 = d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 5151*a - 5150.\nAnswer: -(a - 5150)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 8*a + 4. Let b be h(4). What is the smallest common multiple of 3 and (1 - -1)\/b + (-265)\/(-10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -67*n**3 - 49*n + 1 - 1 + 47*n**3 - 60*n + 16*n**2. What is the derivative of q(h) wrt h?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274218 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 5*b - 2. Let c be n(5). Let y be (-4 + c)\/(0 - 2). What is the first derivative of 8*t**4 + 3 + 2 - y*t**4 - 2 wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/32 and 67\/4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 7. Let d(h) = -2*h**2 + h - 9. What is 3*d(b) + 4*m(b)?\nAnswer: 2*b**2 + 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 4*u + 5. Let l be d(2). Suppose 0 = 3*m + 2*r + 1 + l, -15 = 5*r. Solve w = 4 - m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000729 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 4:52 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (((-47)\/15 - -1) + (-128)\/(-960))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2) - -4)\/((-4)\/(-16)). Suppose y = p - 76. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60.957 in 0.1, -0.3, -2.28?\nAnswer: -2.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 + 1 - a + 4*a**2 + 2*a**2. Suppose 70 = -4*l - 3*l. Let f be (-5)\/l*(0 - 0). Calculate i(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 1:30 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124227.117 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/69205 and -59\/715.\nAnswer: 9896315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/3 + 170864*g\/3 + 683392\/3.\nAnswer: 4*(g + 4)*(g + 42712)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 3989966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 12*l = 13*l + 318, -3*b - 3*l + 318 = 0. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 10*b - 5. Let q be n(2). Solve 5*z - 2*z = q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 14\/9)\/(-2). Let z = -2 + 2.3. Suppose -4*l + u = -11, -3*u = 4*l + 2*u - 41. What is the nearest to -1\/3 in z, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**3\/3 - 12481*q**2\/3 + 12478*q = 0.\nAnswer: 0, 3, 12478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.07 + 0.07. Let v be (51\/(-255))\/(3\/(-31)). Let n = v - 7\/5. What is the closest to -4 in n, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 43.24?\nAnswer: -129.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 - 3.18. Let o = -3.5 - g. What is the nearest to -1 in o, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (25191\/(-60) - (-18)\/(-45))*-4 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -13 - (-1 - 2) - 5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3548179890?\nAnswer: 2, 3, 5, 19, 230551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f**2 + 2*f. Let i be ((-13)\/(2 - 15))\/(2 - 1). Let l(j) = j**2 + j. Let r(v) = 2*v + 2. Let s be r(-3). Calculate i*x(p) + s*l(p).\nAnswer: 3*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - 4*w**2 + 3*w - 1. Let i(y) = y**3 + y - 1. Let s(p) = 2*i(p) - l(p). Determine s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15954730 divided by -3190946.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 3:43 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -32162, 1\/6?\nAnswer: -32162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kffk when four letters picked without replacement from {e: 6, k: 7, f: 4}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 7*l**2 + 4*l - 5. Let r be j(-6). Suppose 6*v - 4 = r*v. Put -6, v, -1 in descending order.\nAnswer: -1, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9196 and 3685176.\nAnswer: 70018344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(384)\/sqrt(8) - sqrt(3)) + 3*sqrt(75) + sqrt(150)\/sqrt(2).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10))\/((-24)\/20)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011111000001 (base 2) to base 8.\nAnswer: 63701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 344721858 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.95 - 35.91. Which is the closest to -1\/4? (a) -8 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9027 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 1. Let m(w) = -w**2 + 6*w - 75. Let p(k) = -3*d(k) - m(k). Calculate the remainder when p(0) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**0\/(w\/(w**(-15\/7)\/w))*(w**(-7\/6)*w)\/(w**(-3\/14)*w) assuming w is positive.\nAnswer: w**(-107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 1272.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3 + 226*c**2 + 82968*c + 489240 = 0?\nAnswer: -151, -6, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/5, -1\/4, -2\/9, 10, 1\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3918 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10609*c**4\/2 - 206*c**3 - 2*c**2.\nAnswer: -c**2*(103*c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 3*a**2 - 2*a + 16. Determine s(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 334063 (base 8) in base 6?\nAnswer: 2225415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4356)*-2*1)\/(sqrt(120)\/(-2*sqrt(250) - sqrt(10))).\nAnswer: 242*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 871099*b - 1992555.\nAnswer: 871099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151c57 (base 13) to base 15.\nAnswer: a38ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*n - 11 - 0, 3*n - m = 19. Calculate the remainder when 75 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13269\/2 in -2\/9, -3\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 948, 3\/2, 1 in increasing order.\nAnswer: -2, 1, 3\/2, 5, 948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -15, 23, 3, -3, 4 in descending order.\nAnswer: 23, 4, 3, 2, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (25 - 20 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 3804.\nAnswer: -1141.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 15*n**2 - 16*n + 38. What is the remainder when 1\/((1\/59)\/1) is divided by l(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/(2\/(-108)). Let l be (-4)\/18 - 80\/f. Calculate the remainder when (-2)\/((-24)\/9 + l) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19398469680629+10\nAnswer: 19398469680639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 2*n + 2. Suppose 3*d + 120 = 123. Let l(u) = u - 1. Calculate d*k(t) + 2*l(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 140, 149, 158, 167?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1926 and 1498.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 196*t**3 + 3156*t**2 - 17836*t + 14872.\nAnswer: 4*(t - 22)*(t - 13)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -496 - -652. Suppose 0 = 2*q + 112 - d. What is the smallest common multiple of 2142 and q?\nAnswer: 23562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 9) to base 2.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**4*h*x + 1840*c**4*h + 14*c**4 - 42*c**2*h + 3*c**2*x + c*h*x - 567*c*h wrt c.\nAnswer: -144*c*h*x + 44160*c*h + 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -324 + 5?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/77 - 676\/(-14). What is the greatest common divisor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 572684584?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 - 138*q**2 - 76176*q\/7.\nAnswer: 2*q*(q - 552)*(q + 69)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8\/26*(2205\/(-70))\/(-21)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, -1, -7 in descending order.\nAnswer: -1, -4, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202792 (base 12) to base 7.\nAnswer: -4161152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -22 (b) -6 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 23*d - 23. List the prime factors of n(-31).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u + 0*u)*(3*u + 3*u - 7*u) + u**2 - 3*u**2 + u**2 + 70*u**2 - 109*u**2 + 54*u**2.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -7 + 17. Suppose -b*r + 3*k = -28, 9 + 9 = 3*r - 3*k. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/90352 and -93\/22588.\nAnswer: 90352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, x: 2, i: 6}. Give prob of picking 2 i.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, -69, 6, 23 in descending order.\nAnswer: 23, 6, -1, -6, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 293 = -5*h, -16*o = -11*o - h - 388. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -200*f - 9. Let l(w) = -394*w - 20. Determine -4*l(t) + 9*x(t).\nAnswer: -224*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-36) + (-73)\/(-3). Suppose 4*j + y = 3*w + 79, 2*j - 30 = 4*w. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5728*l**2 + 6574*l**2 - 18874*l**2 + 6567*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwyw when four letters picked without replacement from fbwzbqyybywyyqqbw?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 - (-142)\/6. Let t be 6\/b + 6\/8. Let q be (-1)\/(t\/(-4 + 3)). Which is greater: q or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 1\/20*n**4 - 2*n**2 - 1\/300*n**6 + 0*n + 0 - 2\/15*n**3 + 0*n**5. Let m(c) = 0. What is c?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205943 rounded to the nearest one thousand?\nAnswer: 206000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**6\/w*w*w)\/w*w\/w**(-1\/3))\/(w**(2\/13)\/((w\/w**(1\/3))\/w)))**18 assuming w is positive.\nAnswer: w**(1602\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2613 and 2211.\nAnswer: 28743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s. Suppose 0*b - 1 = -4*a - 5*b, -4*a + 28 = -4*b. Let c(l) = -l + 3. Let o(q) = q - 2. Let h(d) = 2*c(d) + 3*o(d). Give a*m(y) - 15*h(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 7*f = 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18864 - -18888. What is the lowest common multiple of (-2 + 1)\/(2\/(-8)) and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 67*y + 3021. Let f(u) = -212*u - 9064. What is 6*f(k) + 19*h(k)?\nAnswer: k + 3015","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c + 4755124 - 920592 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*53041857\nAnswer: -583460427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 + 4 - 187*j**3.\nAnswer: -187*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-2) - 12\/4. Let x be (8 + -4 + -4)\/(2\/2). Factor x*r + i*r**2 + 0.\nAnswer: r**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3175 (base 9) in base 8?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-45) - 7611\/2655.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**4\/3 - 4*l**3 + 18*l**2 - 7*l. Let d(u) = 2*u**2 - 12*u + 18. Let o(q) = -5*d(q) + 2*x(q). Factor o(k).\nAnswer: -2*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/(-15) - 2) + 36\/(-60). Let f(q) = -q + 0*q + 2 - q - 3*q**2. Let x(l) = -l**2. Calculate y*x(k) + f(k).\nAnswer: 2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -14*p**2 + 14*p. Let h(a) be the first derivative of 5*a**3\/3 - 5*a**2\/2 - 2245. Calculate -11*h(r) - 4*u(r).\nAnswer: r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2563.63 + 2578. Let b = -0.67 + c. Let o = b - 8.7. Sort o, -1\/3, 3, -4.\nAnswer: -4, -1\/3, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/784 and 29\/18.\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 2.14.\nAnswer: 40.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6*(-354)\/(-4). Let t = 29 - g. Is 0 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.7 + 17. Sort u, -4\/5, -0.3 in descending order.\nAnswer: u, -0.3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(6\/11))\/q**(1\/7))\/(q\/(q**(-4)\/q))**(4\/27) assuming q is positive.\nAnswer: q**(-400\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 141044 divided by -6?\nAnswer: -70522\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 11, 0.3, -4, -8.7947 in ascending order.\nAnswer: -8.7947, -4, 0.3, 3\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111101010001000 - 110000?\nAnswer: 1000111101001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/7 - 9) + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -30669771720?\nAnswer: -30669771720.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. What is the third derivative of 2*f**o + f**5 + f**2 - f**2 - 4*f**5 wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/10 - 12\/(-30). Let j be -5*((-16)\/(-75))\/(-8). Which is the closest to -1\/3? (a) 0.3 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y - 2. What is d(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*sqrt(98)*2 - (((sqrt(98) - -4*sqrt(98)) + sqrt(98) - sqrt(98) - sqrt(98)) + -4 + 2))**2.\nAnswer: -1456*sqrt(2) + 264996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5439 + -5257. Calculate the remainder when 871 is divided by j.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 9582452.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -11 - 12) + -2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 26 - 18 - 29*l**3 + 28*l**3.\nAnswer: -l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 4*x**2 + 7*x + 12. Let n be c(-5). What is the nearest to 1 in n, 1\/4, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 9*o - 79. Let s be c(-20). Let y = 303 + s. Factor -y*m - 1\/2*m**2 - 8.\nAnswer: -(m + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37290 and 1900?\nAnswer: 7085100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:14 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -382*m**3 + 16*m**2 + 209*m**3 + 172*m**3 - 5*m**4 + 3*m**4 + 25*m in the form o*m**3 + x*m**2 + z*m + c*m**4 + y and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g + g**2 + 13*g**2 - g**2 - 3*g**2 - 1. Let q be d(1). Solve q = 2*c + 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/10 and 2\/(-76)*(-126)\/45?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 3*v + 1. Let i be -581*6\/(-18) - (-6)\/(-9). Let z = i - 197. Give u(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 13) to base 3\nAnswer: -21202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**5*q))**(2\/53) assuming q is positive.\nAnswer: q**(-10\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*s**5 + 15*s**5 + 21*s**5 + (-1 + 1 - s)*(s**3 - s**3 - 2*s**4).\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1685, 1659, 1625, 1589, 1557, 1535, 1529, 1545?\n\"Answer: c**3 - 10*c**2 - 3*c + 1697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2235 + -2080. What is the greatest common divisor of 35 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 38 = -8. Let v(w) be the third derivative of 2*w**b - 1\/15*w**5 + 0 + 0*w + 0*w**3 - 1\/6*w**4 - 1\/120*w**6. Factor v(m).\nAnswer: -m*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2809*f + 541*f + 165*f - 332*f)*(0*f - f - 2*f).\nAnswer: -9549*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/183 (b) 6\/23 (c) -14 (d) 5 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7182, -7180, -7178, -7176, -7174?\nAnswer: -7172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -29. Suppose w + 19 = 2*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*s = 5*s + 70774, -j + 4*s - 17703 = 0. What is the tens digit of 1\/4 + -4*j\/80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 25187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 378815, 758310, 1137807, 1517306, 1896807?\n\"Answer: f**2 + 379492*f - 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/46803 or 1?\nAnswer: 14\/46803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 32 = -3*n, 78*d - 4*n = 73*d + 41 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89\/66194 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 3110*v + 24813. What is a(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1483694 + -0.6.\nAnswer: -1483694.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -c - 97, 4*z - 340 = 7*c - 2*c. What are the prime factors of (0 + -23)\/(6\/c*4)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**2 - 34 + 11 + 13 - 45*v**2 + 1827*v**5 + 9 wrt v?\nAnswer: 109620*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*d**2*t**5 - d**2*t**2 - d**2*t - 1672*d**2 - d*t - 2*t wrt t?\nAnswer: 1080*d**2*t**3 - 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.86303 rounded to two decimal places?\nAnswer: -11.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*a + 3. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49 - -36?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6564*t - 4482*t = 7239*t + 1316520 for t.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3414403 (base 5) in base 7?\nAnswer: 341454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3672 by 1.\nAnswer: 3672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -117*z**2 + 5847*z + 150. What is j(50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.2 + -5817084.\nAnswer: -5817093.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**5\/4 + u**3\/6 - 10*u**2 + u. Give o(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4615384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7026 + -614.06\nAnswer: -7640.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*sqrt(7)*6 + ((sqrt(56) + sqrt(56) + sqrt(224))\/sqrt(8) + sqrt(7))*2.\nAnswer: 46*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)\/t*t)**(-1\/15)\/((t\/(t\/t**(2\/19)))\/t**(-6)))**(12\/7) assuming t is positive.\nAnswer: t**(-6884\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 1. Let m = 134 + -140. Let w(i) = 2*i - 1. Determine m*q(p) - 5*w(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j - 2*j)*(-52 + 48 - 127).\nAnswer: -262*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((35\/(-3))\/7)\/((-80)\/48). Which is the biggest value? (a) 3 (b) l (c) 2\/3 (d) -38\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159885 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3063817*f**2 + 11661776*f wrt f?\nAnswer: -6127634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -941. Calculate the remainder when n\/24 - (-1)\/(-4)*2 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 554, 1267, 1980, 2693, 3406, 4119?\n\"Answer: 713*y - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 8, 3 in descending order.\nAnswer: 8, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-18))\/((-2)\/(-6)) - 0. Let w = -2.1 - 0.9. Sort 0, w, d.\nAnswer: w, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (25992\/(-36))\/(-19)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1550 and 45353.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + -2b?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r + 71251 = 71347 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-30\/13)*x\/x**(-38))\/(x\/x**19*x*x*x)**(-8))**(-1\/28) assuming x is positive.\nAnswer: x**(1083\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*i + 15*i - 7*i**3 - 2*i**2 - i**3 + 2*i**2 + (i + i - 3*i)*(5*i**2 - 6*i**2 - i**2) + (-5 - 2*i + 5)*(3*i**2 + 2*i**2 - 3*i**2).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1630 + -2320. Let a = 1158 + g. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 27528.3.\nAnswer: 11011.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1291961 + -3418528727\/2646. Find the common denominator of 113\/48 and q.\nAnswer: 21168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25558 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 - 6594*b + 6594. Let p be g(1). Determine m, given that 4\/3*m**5 - 80 - 20\/3*m**p - 32\/3*m - 12*m**3 + 196\/3*m**2 = 0.\nAnswer: -3, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1695)\/(-452) + 1\/4. Sort -4, -6, -10\/3, -0.1, z.\nAnswer: -6, -4, -10\/3, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:56 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 11*l = 33, 5*l + 4 = -n - 11. Solve -4*q + 2*v + 20 = n, 2*q - 6*v = -10*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 14)*(2 + -3). Suppose -5*w + 36 = a. Solve 0 = -w*s, -4*s - 1 = 3*x + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(0 + 746\/6). Let j = 3353\/9 - l. Let t = 8531 + -8532. Which is greater: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163158 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32663473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 6360803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -141*o**2 + o. Let m(j) = 128*j**2 + 19*j - 19. Let z(u) = 27*u**2 + 4*u - 4. Let r(q) = -4*m(q) + 19*z(q). Calculate r(w(a)).\nAnswer: 19881*a**4 - 282*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:44 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.28 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 12:37 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1481 or -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2722 - 2502. Calculate the highest common divisor of w and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*(-8 + (-285)\/10). Let d = 631 - i. Calculate the remainder when d is divided by 90.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/77*(2\/(-4))\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211 + 211 + 167*s**2 + 129*s**2.\nAnswer: 296*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let q(x) = -7*x. Suppose 4*p - 2*p + 8 = 3*l, p + 5*l - 9 = 0. Determine p*q(z) + 5*b(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 14321\nAnswer: -3\/14321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 244844 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*(-64)\/624*6\/(-20)*-22?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j - 36*j + 129*j = -2358 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 1\/12*t**3 + 0*t - 1 - 1\/8*t**2. Let z(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 7*s. Let d be z(-6). Suppose 111 = 3*n - 0*n - 3*o, 90 = 3*n + 4*o. Let l = n - 34. Put l, d, 2 in descending order.\nAnswer: 2, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77708 is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.006, -87, 5\/12, 0.6?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 - -71\nAnswer: 71.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.52 and 448162902793?\nAnswer: 448162902795.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and 0.066?\nAnswer: 0.00594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(42)\/(sqrt(6)*-1 - sqrt(6))*-4)**2.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrccyryryjryycccc. Give prob of sequence ryy.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 6*c - 33. Suppose 6*r - 4*r + c*s - 2843 = 0, -5*r + 7118 = -3*s. What are the prime factors of r?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 - (-1)\/4. Suppose o + o - 2*c - 6 = 0, 5*c = o + 5. Let p be 19\/(-95) + 81\/o. Solve -4*a + w*a + p = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g + 270 = 23*g. Let m be 36\/g - (-86)\/30. Let w(v) = v - 1. Calculate w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Let y be 27\/76 - 82\/779. Which is smaller: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkkknn. Give prob of picking 3 n.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-744)\/155 - (264\/(-120) - 6\/(-15)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 126 and 1.24?\nAnswer: 124.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhwehde. Give prob of sequence wdwh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(100)*-1)*5)\/(sqrt(12) + sqrt(144)\/(sqrt(48)\/sqrt(4)) - sqrt(48)\/sqrt(64)).\nAnswer: -4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5365.761 kilometers to centimeters.\nAnswer: 536576100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2595*h + 8. Give a(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + n + 123 = -2*n, 0 = n - 1. Suppose -3*d + 315 = 5*i, -3*d + 2*i = -8*d + 525. Calculate the greatest common factor of d and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(3) + -2*sqrt(108)))\/((sqrt(99) + (sqrt(99) - sqrt(99)*-2 - sqrt(99)) + sqrt(99))\/sqrt(9)*-2).\nAnswer: sqrt(3)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93600 by 3120.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**4\/3 + 2*c. Let h(m) = -2*m - 9. Let s be h(-6). Let u(v) be the second derivative of v**4\/12 - 3*v. Give s*u(t) - p(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*k**2 - k - 185*k**2 - 20 + 95*k**2 to the form m*k**2 + r + t*k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 6*l - 904. Let y = l - 111. Let r be -5*(-1 - 4\/20). Solve y*a + r = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13765 + -6644. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -48*a**2 + 33*a + 33. Let b(z) = -2 + 6*z**2 - 3*z - z + 2*z - 3*z**2. Calculate -33*b(h) - 2*x(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0 - (4 + -7)) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20202021112220 (base 3) to base 15.\nAnswer: 4ad0c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128\/433 + 1199587\/866. Let t = 1386 - y. Let o be (-8)\/54*3\/2. What is the fourth smallest value in t, o, 2\/7, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-142)\/((15 + -1)*1).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 1600\nAnswer: -1611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 394257948 and 21?\nAnswer: 394257948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61 and 37783461.\nAnswer: 37783461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5*(sqrt(160) + (sqrt(160) - 1*sqrt(160)) + sqrt(160)))\/(sqrt(180) + sqrt(5)))**2.\nAnswer: 12800\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -311.79 + 312. What is the second smallest value in 3, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 + -13 + (20 - 31)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 1. Determine n(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 47814?\nAnswer: 47814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 17*c**2 - 33*c + 18. Give q(19).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8737 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2 + 102*z - 200 = 0.\nAnswer: 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + s - 848 + 847 = 0, -4*v - s + 10 = 0. Let c be -3 - (-3)\/(-6)*-38. Solve v*l - 2*g + g = 8, -4*g - c = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -da3 (base 16) to base 7\nAnswer: -13115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 - 5*k**2 - 2*k - 4*k**3 - 17 - 7*k**2. What is the units digit of b(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = 3, 3*y + 33 = -3*n. Let c = 21 - 18. Let q = y + c. Let f(i) = 3*i - 3. Give f(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v - 6. Suppose -21 - 3 = -4*s. Let q be c(s). Suppose h + h - q = 0. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029)*-1)\/sqrt(7) + 0 + sqrt(75) + -1.\nAnswer: -2*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssksssskks. What is prob of sequence ssks?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 11 + 1 + 148 + (-48 - 49)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 12 = -3*j, -7681*j + 7679*j = -15*x - 47 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0173 + -51.0827. Let s = r + 60.47. What is s rounded to one decimal place?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 5*z - 2. Let h be m(2). Let v(f) = f - 5*f**3 + 2 + h*f**3 - 10*f**2 + 10*f**2. Let k = -3 - -5. What is v(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9965\/11 + -19919\/22. Let -2\/5*g**2 - f*g - 1\/10*g**3 - 1\/5 = 0. Calculate g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 468*j**2 + j - 1. Let x be o(1). Suppose 6 = 7*b + x. Let d = b - -68. What is the smallest value in -3, d, 4, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-5)*-2*(-28)\/(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 209 - 205. Suppose -5*b - 12 = -8*a + 11*a, f*a = -16. Let h(w) be the third derivative of w**6\/120 - w**4\/24 - 4*w**3\/3 + 3*w**2. Give h(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -16*d - 18. Let y be z(-12). Is (93 - y)*5*(-4)\/6 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 0 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Suppose 0 = -o - 2*s + 4*s + 42, -u*s = 2*o - 76. Let j = -25 + o. Solve 3*f - j = 0, 4*f + 4 - 24 = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13156, 52613, 118378, 210451, 328832, 473521, 644518?\n\"Answer: 13154*r**2 - 5*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -370*f**2 - 178*f**2 - 232*f**2 - 8*f**2 to the form p*f + q*f**2 + n and give q.\nAnswer: -788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(0 + 1 + 1)*(147*t - 16*t + 581*t).\nAnswer: 1424*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*o + 32, -4*o = -4*l - 0*l - 100. Suppose 7*i = o*i - 2025. What is the greatest common divisor of 90 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3. Let s(c) = 1. Let o(w) = 5*s(w) + 2*z(w). Let h(j) = j + 5. Let l = 1638 - 1640. Calculate l*h(q) - 11*o(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 + -49. What is the highest common factor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.653773 micrometers in centimeters?\nAnswer: 0.0004653773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 182815.29s in minutes?\nAnswer: 3046.9215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 divided by 101?\nAnswer: -326\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 34 in decreasing order.\nAnswer: 34, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1 + 3 + k + 0*k. Let u be y(-3). Let o be (12\/(-8))\/(3*-1). Which is bigger: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2 - 37*h + 19. Let s(i) = -8*i**2 + 38*i - 15. Let a(q) = 5*f(q) + 4*s(q). What is a(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-263948)\/345)\/76 + 8\/1. Which is the third smallest value? (a) -0.5 (b) p (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 79.13645t?\nAnswer: 79136450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/48*1\/((-18)\/192).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12) + 34\/8. Suppose a - 12 = -2*m, -4 + 24 = m + p*a. What is the remainder when 15 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-21)*h*h\/h**(-27\/2))**36 assuming h is positive.\nAnswer: h**1386","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2151 - 41*p**3 + 705 + 723 + 723.\nAnswer: -41*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8664140.\nAnswer: 2, 5, 433207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1521 = -3*v, v + 305 = 3*x - 2*x. Calculate the remainder when x is divided by 145.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**3 + 3*k**2 - 16*k + 7. Let j(m) = 4*m**3 - 2*m**2 + 13*m - 6. Let g(h) = -6*j(h) - 5*x(h). Give g(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - j - 763 = 14*s, 3*s - 1134 = 5*j. What is the remainder when s is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -20889.\nAnswer: 104445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 141912629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103 + ((-10 - 11) + 42 - (7 - -2))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/(-45))\/(10\/25).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 6504988*j**3 - 5289358610018*j**2.\nAnswer: -2*j**2*(j + 1626247)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:56 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -970, 2, -3, -14 in ascending order.\nAnswer: -970, -14, -6, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40886029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((39\/(-195))\/(2\/4))\/(2\/80)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/204 and 99\/1544.\nAnswer: 78744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 884 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -1.83329 (b) -3 (c) -0.23 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 2*k + 1. Let g be b(-1). Let a be g - (10\/2 + -2). Calculate the remainder when ((-22)\/6)\/(a\/24) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2861001 and 59 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 174019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -329*w + 157. What is the ten thousands digit of s(-47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, u: 11, e: 4}. What is prob of picking 1 n and 2 e?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4832\/25368)\/(8\/(-840)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 - -60. Sort 29, 1, s.\nAnswer: 1, s, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*l**3 - 262*l**3 + 129*l**3 - l**2.\nAnswer: -3*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2 - (-8 + 0)\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9995*g**4 + 375424 wrt g.\nAnswer: -39980*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 3:36 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 = 4*h, h - 3*z + 6 = -9. Suppose h = -5*t + 3*t + 10. Suppose 0 = t*j + 3*j + 32. Which is the third biggest value? (a) j (b) 0.01 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1088333 is divided by 1575?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32273 is divided by 808?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1974 and 23394?\nAnswer: 1099518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -15*b. Let h(f) be the first derivative of 931*f**3\/3 - 5702. Calculate w(h(p)).\nAnswer: -13965*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-4) - 3\/((-54)\/(-45))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9641*c**2 - 10826*c wrt c.\nAnswer: -19282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.905 + -2.64. Let u = f + -4.265. What is the closest to -7 in 0, 0.07, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - n + 1. Let m be a(0). Let o = m - -3. Suppose o*l + 0*l - 632 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612\/2705 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzxnp. Give prob of sequence un.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 132, 21 in increasing order.\nAnswer: 1, 21, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3240024 and -69\/21260?\nAnswer: 16200120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(304) + sqrt(304)*-2 + 3 + sqrt(304) + 0)*-3 - (-5 + (sqrt(304) - (sqrt(304) - (sqrt(304) - sqrt(304)*2*-1)))*-4))**2.\nAnswer: -672*sqrt(19) + 43825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 18*f + 1362. Determine c(-27).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (15 - -4) - (-6 + 10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 59 = 31. Suppose -9*m = -4*m + u. Let j be 5\/3*m\/(-2). Solve j*s - 19 = -r, r - 5*s + 20 + 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 115949885.73 from 0.2.\nAnswer: -115949885.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 13331022123?\nAnswer: 13331022131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (13\/(117\/1035))\/((-1)\/(-1)) and 161.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2155, 2198, 2253, 2320, 2399?\n\"Answer: 6*x**2 + 25*x + 2124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -f - h, h = -f - 3*h + 9. Suppose -c + 0*c + f = 2*v, 2*v + 2*c - 4 = 0. Let n(a) = 3*a**2 + 2*a + 8. What is the units digit of n(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 4*l + 2. Let a = -5 - -8. Suppose a*f = -0*f + 12. Let i(j) = 8*j**2 - 11*j + 5. What is f*i(r) - 11*c(r)?\nAnswer: -r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 61\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j**2 - 48*j**2 + 35*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*-1 + 4 + (sqrt(1377) + -2)*-5 + sqrt(1377) + (-2 + 1*sqrt(1377) - sqrt(1377)) + (-1 + sqrt(1377) - sqrt(1377)) + -4 + sqrt(1377))**2.\nAnswer: -504*sqrt(17) + 22081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 - 8 = 0. Let o be (6\/q)\/((-8)\/(-16)). Factor -28*h - 2 - 6 - 9*h**2 - 11*h**2 - 4 - 4*h**o.\nAnswer: -4*(h + 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 137\/3 + (-6)\/(-18). Let l(z) = -5*z + 47*z**2 - 5 - d*z**2 + 6*z. Determine l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 3*o**2 - 4*o. Let u(a) be the second derivative of 0*a**2 + 0 + 1\/3*a**4 + 35*a + 1\/10*a**5 + 5\/6*a**3. Calculate 5*d(q) + 4*u(q).\nAnswer: 3*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87.206355 - -1.55932.\nAnswer: 88.765675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:39 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + k = -157542, -4*u - 3*k + 2*k = 315084. Let v be ((-6)\/14)\/(-1) - u\/4851. Determine s so that 22\/3*s**2 + 8*s - 8\/3 - 20*s**3 - v*s**4 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-261 - -282) + 38\/(-2). Let x(p) be the second derivative of 0 + 4*p - 4\/3*p**3 - 1\/6*p**4 + 0*p**d. Factor x(u).\nAnswer: -2*u*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**4\/12 + 89*v + 1. Let w(y) = 2*y - 381. Give w(z(b)).\nAnswer: 2*b**2 - 381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*n - 9, n = 3*z - 854. Calculate the greatest common factor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 624643 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 - -0.45. Let p = n + -0.7. Let g = -13 - -13.5. Which is the closest to 2\/7? (a) g (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2) + -3)*(-19 - (-17 + -24)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(0 + sqrt(3200))*-2.\nAnswer: -400*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)\/(j*(j\/(j\/((j\/(j**(1\/4)*j)*j)\/j)))\/j))**(27\/7)\/(((j*j**(1\/3))\/(j**(1\/2)\/j))\/((j\/j**(-1\/5))\/j**4)) assuming j is positive.\nAnswer: j**(-9641\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11418*g + 36. Let p be q(-2). What is p rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100100 (base 2) in base 16?\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 53180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1955 - -3518. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 + 2*h**3 + 0*h**3 + (1 - 1 + h**2)*(1072*h - 181287 + 181287).\nAnswer: 1076*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1324 divided by -1324\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -876*b + 4 - 4 + 75*b + 116*b to the form a + j*b and give j.\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6132 - -6125. Let a(f) be the first derivative of -2*f**3 + 5*f**2\/2 + f - 1. Let l(h) = 11*h**2 - 9*h - 2. Calculate q*a(z) - 4*l(z).\nAnswer: -2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9913472663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.964 + 4.064. Let i = 17\/2 - 8. What is the closest to -0.2 in 11, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 21795?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/240)\/(2\/2)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/7, -1\/257, 2, 4?\nAnswer: -1\/257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, 74, 163, 288, 449?\n\"Answer: 18*z**2 - z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6944797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0)\/(2\/86). Which is bigger: m or -44?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, o: 15}. Give prob of picking 1 o and 3 u.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 217657*v\/4 - 217659\/2.\nAnswer: (v - 2)*(v + 217659)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 687136*c + 687134.\nAnswer: 2*(c - 343567)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 - 2*q**5 - q**5 + (4*q + 4*q**3 - 4*q)*(q**2 + 5*q**2 - 5*q**2) + (-q**3 + 3*q**3 + 0*q**3)*(3 + 2*q**2 - 3).\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4. Let r(v) = -v - 1. Give -b(x) - 4*r(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 1. Suppose 14 = 4*o - 3*d + 12, 0 = 2*d + 4. Let v(r) = -2*r**3 - 12*r**2 - 3*r + 3. What is o*v(j) - 3*b(j)?\nAnswer: 2*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 21904, 3\/8, 0.24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7350741 by -7.\nAnswer: -7350741\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 138. Suppose 0*r = -4*r + h. Calculate the greatest common divisor of r and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 12 = k, -2*k + 6*k + 27 = -5*v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(-2\/3))\/p**(-9))\/(p**(2\/3)*p\/(p**(3\/7)\/p)))**(-19))**33 assuming p is positive.\nAnswer: p**(-36993\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1800) + 2 + (sqrt(50) - (sqrt(50) + (sqrt(50) - sqrt(450))))*1.\nAnswer: 6 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n**2 - 31*n + 0*n**2 - 3*n**2 - 10*n**2 + 2*n**3 wrt n.\nAnswer: 12*n - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18397283?\nAnswer: 79, 232877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -328 divided by 3623.\nAnswer: -328\/3623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 5 + 0 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by ((-12)\/20)\/((-48)\/4640)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7309221)\/6 - 30\/(-20))\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81841 and 2230.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 393365251 a multiple of 667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831986 divided by 6?\nAnswer: 305331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -0.58. Let v = t - -0.42. Let f be (-4)\/(-4) - (2 - -10). Which is the second smallest value? (a) v (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/4)\/i*i)\/i**(-1))\/(i**(2\/3)*i**(-3)) assuming i is positive.\nAnswer: i**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 134242, 134243, 134244, 134245?\n\"Answer: j + 134241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 5974?\nAnswer: 29870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3090484800 to the nearest one million.\nAnswer: 3090000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -222 and 79304.\nAnswer: -17605488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 4:24 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-60) + (-2)\/13)\/(135\/6750)\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 435418 + -435425. Let o = -0.6 - -2.6. Let j = o - 1.5. What is the third smallest value in -1\/5, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6 and 5\/(-42)*11008\/2880?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i + 414 = -5*q, -q - 86 = -i. Let v = 1046.903 + -1047.003. Let z = -6 - -8. Which is the nearest to v? (a) -2 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 3*v**2 - 22*v - 60. Determine h(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -35*o**2 + 241940*o + 103695 = 0.\nAnswer: -3\/7, 6913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:31 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}